From ccee8571e30d4e043b3825a48c1019e9b2d769df Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 00:26:43 +1000 Subject: [PATCH 01/35] feat(Combinatorics/SimpleGraph): group actions on simple graphs MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit This adds the first connection between Mathlib's `MulAction` and `SimpleGraph` libraries, defining what it means for a group action to preserve adjacency and providing the standard transitivity predicates used in algebraic graph theory. The `GraphAction` class asserts that `g • u` is adjacent to `g • v` whenever `u` is adjacent to `v`. For group actions this is automatically an iff (`adj_smul_iff`), and each group element induces a graph isomorphism (`toIso`). On top of this, `IsVertexTransitive` combines `GraphAction` with `IsPretransitive`, and `IsArcTransitive` requires transitivity on ordered adjacent pairs. The main result is the characterization theorem: a vertex-transitive graph that is locally transitive (the stabilizer of each vertex acts transitively on its neighbors) is arc-transitive, and conversely an arc-transitive graph with no isolated vertices is vertex-transitive. This is the standard equivalence between arc-transitivity and the combination of vertex-transitivity with local transitivity, used throughout the theory of symmetric graphs. --- Mathlib/Combinatorics/SimpleGraph/Action.lean | 129 ++++++++++++++++++ 1 file changed, 129 insertions(+) create mode 100644 Mathlib/Combinatorics/SimpleGraph/Action.lean diff --git a/Mathlib/Combinatorics/SimpleGraph/Action.lean b/Mathlib/Combinatorics/SimpleGraph/Action.lean new file mode 100644 index 00000000000000..0b7875c8109f46 --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/Action.lean @@ -0,0 +1,129 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Maps +public import Mathlib.GroupTheory.GroupAction.Basic + +/-! +# Group actions on simple graphs + +Given a group `G` acting on a type `V` via `MulAction G V`, and a simple graph `Γ : SimpleGraph V`, +we say the action is a *graph action* if it preserves adjacency: `Γ.Adj u v → Γ.Adj (g • u) (g • v)` +for all `g : G`. + +## Main definitions + +* `GraphAction G Γ` — the action of `G` on `V` preserves the adjacency relation of `Γ` +* `GraphAction.adj_smul_iff` — for groups, adjacency is an iff (not just an implication) +* `GraphAction.toIso` — each `g : G` induces a graph isomorphism `Γ ≃g Γ` +* `IsVertexTransitive G Γ` — the action is a graph action and is transitive +* `IsArcTransitive G Γ` — the action is transitive on ordered adjacent pairs +* `IsLocallyTransitive G Γ v` — the stabilizer of `v` acts transitively on its neighbors + +## Main results + +* `isArcTransitive_of_vertexTransitive_locallyTransitive` — vertex-transitive + locally + transitive implies arc-transitive +-/ + +@[expose] public section + +variable {G V : Type*} + +/-- A group action on `V` is a *graph action* on `Γ : SimpleGraph V` if it preserves adjacency. -/ +class GraphAction (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) : Prop where + /-- The action preserves adjacency. -/ + adj_smul : ∀ (g : G) (u v : V), Γ.Adj u v → Γ.Adj (g • u) (g • v) + +namespace GraphAction + +variable [Group G] [MulAction G V] {Γ : SimpleGraph V} [GraphAction G V Γ] + +/-- For group actions, adjacency is preserved in both directions: +`Γ.Adj (g • u) (g • v) ↔ Γ.Adj u v`. -/ +theorem adj_smul_iff (g : G) (u v : V) : Γ.Adj (g • u) (g • v) ↔ Γ.Adj u v := by + constructor + · intro h + have h' := adj_smul g⁻¹ (g • u) (g • v) h + simp only [inv_smul_smul] at h' + exact h' + · exact adj_smul g u v + +/-- Each group element `g` induces a graph isomorphism `Γ ≃g Γ`. -/ +noncomputable def toIso (g : G) : Γ ≃g Γ where + toEquiv := MulAction.toPerm g + map_rel_iff' := adj_smul_iff g _ _ + +@[simp] +theorem toIso_apply (g : G) (v : V) : (toIso g : Γ ≃g Γ) v = g • v := rfl + +@[simp] +theorem toIso_symm (g : G) : (toIso g : Γ ≃g Γ).symm = toIso g⁻¹ := by + ext v + simp [toIso] + +theorem toIso_mul (g h : G) : + (toIso (g * h) : Γ ≃g Γ) = (toIso h : Γ ≃g Γ).trans (toIso g) := by + ext v + simp [toIso, mul_smul] + +end GraphAction + +/-- A graph `Γ` is *vertex-transitive* under the action of `G` if `G` preserves adjacency +and acts transitively on the vertices. -/ +class IsVertexTransitive (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) : Prop extends GraphAction G V Γ where + /-- The action is transitive on vertices. -/ + pretransitive : MulAction.IsPretransitive G V + +attribute [instance] IsVertexTransitive.pretransitive + +/-- A graph `Γ` is *arc-transitive* under the action of `G` if for any two arcs +`(u₁, v₁)` and `(u₂, v₂)`, there exists `g ∈ G` sending `u₁ ↦ u₂` and `v₁ ↦ v₂`. -/ +class IsArcTransitive (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) : Prop extends GraphAction G V Γ where + /-- The action is transitive on arcs (ordered adjacent pairs). -/ + arc_transitive : ∀ u₁ v₁ u₂ v₂ : V, Γ.Adj u₁ v₁ → Γ.Adj u₂ v₂ → + ∃ g : G, g • u₁ = u₂ ∧ g • v₁ = v₂ + +namespace IsArcTransitive + +variable [Group G] [MulAction G V] {Γ : SimpleGraph V} [IsArcTransitive G V Γ] + +/-- An arc-transitive graph with no isolated vertices is vertex-transitive. -/ +theorem isVertexTransitive (hne : ∀ v : V, ∃ w : V, Γ.Adj v w) : + IsVertexTransitive G V Γ where + pretransitive := ⟨by + intro x y + obtain ⟨x', hx'⟩ := hne x + obtain ⟨y', hy'⟩ := hne y + obtain ⟨g, hg, _⟩ := @arc_transitive G V _ _ Γ _ x x' y y' hx' hy' + exact ⟨g, hg⟩⟩ + +end IsArcTransitive + +/-- A graph is *locally transitive* at `v` if the stabilizer of `v` acts transitively +on the neighbors of `v`. -/ +def IsLocallyTransitive (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) (v : V) : Prop := + ∀ w₁ w₂ : V, Γ.Adj v w₁ → Γ.Adj v w₂ → + ∃ g : G, g • v = v ∧ g • w₁ = w₂ + +/-- A vertex-transitive, locally transitive graph is arc-transitive. -/ +theorem isArcTransitive_of_vertexTransitive_locallyTransitive + [Group G] [MulAction G V] (Γ : SimpleGraph V) [IsVertexTransitive G V Γ] + (hlocal : ∀ v : V, IsLocallyTransitive G V Γ v) : + IsArcTransitive G V Γ where + arc_transitive := by + intro u₁ v₁ u₂ v₂ h₁ h₂ + obtain ⟨g, hg⟩ := MulAction.exists_smul_eq G u₁ u₂ + have hadj : Γ.Adj u₂ (g • v₁) := by + rw [← hg] + exact GraphAction.adj_smul g u₁ v₁ h₁ + obtain ⟨h, hhu₂, hhv⟩ := hlocal u₂ (g • v₁) v₂ hadj h₂ + exact ⟨h * g, by rw [mul_smul, hg, hhu₂], by rw [mul_smul, hhv]⟩ From a2a550510498047aa7dc13a3deb7f375f5287646 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 05:52:48 +1000 Subject: [PATCH 02/35] chore: add Action.lean to Mathlib.lean --- Mathlib.lean | 1 + 1 file changed, 1 insertion(+) diff --git a/Mathlib.lean b/Mathlib.lean index 51a2d9e682d0ca..ce3cedcbd862ef 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3574,6 +3574,7 @@ public import Mathlib.Combinatorics.SetFamily.KruskalKatona public import Mathlib.Combinatorics.SetFamily.LYM public import Mathlib.Combinatorics.SetFamily.Shadow public import Mathlib.Combinatorics.SetFamily.Shatter +public import Mathlib.Combinatorics.SimpleGraph.Action public import Mathlib.Combinatorics.SimpleGraph.Acyclic public import Mathlib.Combinatorics.SimpleGraph.AdjMatrix public import Mathlib.Combinatorics.SimpleGraph.Basic From bca5030e9ed40c2544c17f4e12e8289bf92db7fb Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 05:59:30 +1000 Subject: [PATCH 03/35] feat(Combinatorics/SimpleGraph): coset graphs (Sabidussi construction) --- Mathlib.lean | 1 + .../Combinatorics/SimpleGraph/CosetGraph.lean | 128 ++++++++++++++++++ 2 files changed, 129 insertions(+) create mode 100644 Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean diff --git a/Mathlib.lean b/Mathlib.lean index ce3cedcbd862ef..597c17fbe8133f 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3592,6 +3592,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Connectivity.Finite public import Mathlib.Combinatorics.SimpleGraph.Connectivity.Represents public import Mathlib.Combinatorics.SimpleGraph.Connectivity.Subgraph public import Mathlib.Combinatorics.SimpleGraph.Copy +public import Mathlib.Combinatorics.SimpleGraph.CosetGraph public import Mathlib.Combinatorics.SimpleGraph.Dart public import Mathlib.Combinatorics.SimpleGraph.DegreeSum public import Mathlib.Combinatorics.SimpleGraph.DeleteEdges diff --git a/Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean b/Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean new file mode 100644 index 00000000000000..c2ffaf6692651a --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean @@ -0,0 +1,128 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Action +public import Mathlib.GroupTheory.GroupAction.Quotient +public import Mathlib.GroupTheory.DoubleCoset +public import Mathlib.Tactic.Group + +/-! +# Coset graphs (Sabidussi construction) + +Given a group `G`, a subgroup `H`, and a *connection set* `D ⊆ G` that is a union of +`(H, H)`-double cosets, is symmetric (`D = D⁻¹`), and is disjoint from `H`, we define the +**coset graph** `Sab(G, H, D)` whose vertices are the left cosets `G ⧸ H` and whose edges +connect `xH` to `yH` whenever `x⁻¹y ∈ D`. + +This is Sabidussi's generalization of Cayley graphs: when `H = ⊥`, the coset graph on +`G ⧸ ⊥ ≃ G` recovers the Cayley graph `Cay(G, D)`. + +## Main definitions + +* `IsConnectionSet H D` — `D` is a union of `(H, H)`-double cosets, closed under inversion, + and disjoint from `H` +* `SimpleGraph.cosetGraph H D` — the coset graph `Sab(G, H, D)` as a `SimpleGraph (G ⧸ H)` + +## Main results + +* `SimpleGraph.cosetGraph.adj_mk` — adjacency is characterized by `x⁻¹y ∈ D` +* `SimpleGraph.cosetGraph.graphAction` — `G` acts on the coset graph preserving adjacency +* `SimpleGraph.cosetGraph.isVertexTransitive` — coset graphs are vertex-transitive + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §2. +* Sabidussi, *Vertex-transitive graphs*, Monatsh. Math. 68 (1964), 426–438. +-/ + +@[expose] public section + +variable {G : Type*} [Group G] + +/-- A set `D ⊆ G` is a *connection set* for the subgroup `H` if it is stable under +left and right multiplication by `H` (i.e., a union of `(H,H)`-double cosets), +is closed under inversion, and is disjoint from `H`. -/ +structure IsConnectionSet (H : Subgroup G) (D : Set G) : Prop where + /-- `D` is stable under left and right multiplication by elements of `H`. -/ + double_coset_stable : ∀ d ∈ D, ∀ h₁ ∈ (H : Set G), ∀ h₂ ∈ (H : Set G), h₁ * d * h₂ ∈ D + /-- `D` is closed under inversion. -/ + inv_mem : ∀ d ∈ D, d⁻¹ ∈ D + /-- `D` is disjoint from `H`. -/ + disjoint : Disjoint D ↑H + +namespace IsConnectionSet + +variable {H : Subgroup G} {D : Set G} + +theorem one_not_mem (hD : IsConnectionSet H D) : (1 : G) ∉ D := + fun h => Set.disjoint_left.mp hD.disjoint h (Subgroup.one_mem H) + +end IsConnectionSet + +/-- The **coset graph** `Sab(G, H, D)`. Vertices are the left cosets `G ⧸ H`, +and two cosets `xH, yH` are adjacent iff `x⁻¹y ∈ D`. + +This is Sabidussi's generalization of Cayley graphs: when `H = ⊥`, +the coset graph on `G ⧸ ⊥ ≃ G` recovers the Cayley graph `Cay(G, D)`. -/ +noncomputable def SimpleGraph.cosetGraph (H : Subgroup G) (D : Set G) + (hD : IsConnectionSet H D) : SimpleGraph (G ⧸ H) where + Adj q₁ q₂ := Quotient.liftOn₂ q₁ q₂ (fun x y => x⁻¹ * y ∈ D) + (fun a₁ b₁ a₂ b₂ h₁ h₂ => by + have ha : a₁⁻¹ * a₂ ∈ (H : Set G) := QuotientGroup.leftRel_apply.mp h₁ + have hb : b₁⁻¹ * b₂ ∈ (H : Set G) := QuotientGroup.leftRel_apply.mp h₂ + apply propext; change a₁⁻¹ * b₁ ∈ D ↔ a₂⁻¹ * b₂ ∈ D; constructor + · intro h + have key : a₂⁻¹ * b₂ = (a₂⁻¹ * a₁) * (a₁⁻¹ * b₁) * (b₁⁻¹ * b₂) := by group + rw [key] + refine hD.double_coset_stable _ h _ ?_ _ hb + have : (a₁⁻¹ * a₂)⁻¹ ∈ (H : Set G) := H.inv_mem ha + rwa [mul_inv_rev, inv_inv] at this + · intro h + have key : a₁⁻¹ * b₁ = (a₁⁻¹ * a₂) * (a₂⁻¹ * b₂) * (b₂⁻¹ * b₁) := by group + rw [key] + refine hD.double_coset_stable _ h _ ha _ ?_ + have : (b₁⁻¹ * b₂)⁻¹ ∈ (H : Set G) := H.inv_mem hb + rwa [mul_inv_rev, inv_inv] at this) + symm := by + intro q₁ q₂ + refine Quotient.inductionOn₂ q₁ q₂ fun x y => ?_ + simp only [Quotient.liftOn₂_mk] + intro h + have hmem := hD.inv_mem _ h + rwa [mul_inv_rev, inv_inv] at hmem + loopless := ⟨by + intro q + refine Quotient.inductionOn q fun x => ?_ + simp only [Quotient.liftOn₂_mk] + show ¬(x⁻¹ * x ∈ D) + rw [inv_mul_cancel] + exact hD.one_not_mem⟩ + +namespace SimpleGraph.cosetGraph + +variable (H : Subgroup G) (D : Set G) (hD : IsConnectionSet H D) + +/-- Adjacency in the coset graph is characterized by membership of `x⁻¹y` in `D`. -/ +@[simp] +theorem adj_mk (x y : G) : + (cosetGraph H D hD).Adj (QuotientGroup.mk x) (QuotientGroup.mk y) ↔ x⁻¹ * y ∈ D := + Iff.rfl + +/-- The left multiplication action of `G` on `G ⧸ H` preserves coset graph adjacency. -/ +instance graphAction : GraphAction G (G ⧸ H) (cosetGraph H D hD) where + adj_smul g q₁ q₂ := by + refine Quotient.inductionOn₂ q₁ q₂ fun x y => ?_ + intro h + change (g * x)⁻¹ * (g * y) ∈ D + rw [mul_inv_rev, mul_assoc, inv_mul_cancel_left] + exact h + +/-- Coset graphs are vertex-transitive under the natural action of `G`. -/ +instance isVertexTransitive : IsVertexTransitive G (G ⧸ H) (cosetGraph H D hD) where + pretransitive := MulAction.isPretransitive_quotient G H + +end SimpleGraph.cosetGraph From 908c301624478b0b7314b99f0b584e1b46855c13 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 06:04:16 +1000 Subject: [PATCH 04/35] feat(Combinatorics/SimpleGraph): Sabidussi representation theorem --- Mathlib.lean | 1 + .../SimpleGraph/Representation.lean | 161 ++++++++++++++++++ 2 files changed, 162 insertions(+) create mode 100644 Mathlib/Combinatorics/SimpleGraph/Representation.lean diff --git a/Mathlib.lean b/Mathlib.lean index 597c17fbe8133f..4bcf38b25f4bdb 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3628,6 +3628,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Regularity.Equitabilise public import Mathlib.Combinatorics.SimpleGraph.Regularity.Increment public import Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma public import Mathlib.Combinatorics.SimpleGraph.Regularity.Uniform +public import Mathlib.Combinatorics.SimpleGraph.Representation public import Mathlib.Combinatorics.SimpleGraph.StronglyRegular public import Mathlib.Combinatorics.SimpleGraph.Subgraph public import Mathlib.Combinatorics.SimpleGraph.Sum diff --git a/Mathlib/Combinatorics/SimpleGraph/Representation.lean b/Mathlib/Combinatorics/SimpleGraph/Representation.lean new file mode 100644 index 00000000000000..020db8d31abfb8 --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/Representation.lean @@ -0,0 +1,161 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.CosetGraph +public import Mathlib.GroupTheory.GroupAction.Quotient +public import Mathlib.Tactic.Group + +/-! +# The Sabidussi representation theorem + +Every vertex-transitive graph is isomorphic to a coset graph. More precisely, +if `G` acts vertex-transitively on a graph `Γ`, then for any basepoint `v`, +the orbit-stabilizer equivalence `V ≃ G ⧸ stabilizer G v` is a graph +isomorphism from `Γ` to `Sab(G, Gᵥ, D)`, where `D = {g ∈ G : Γ.Adj v (g • v)}`. + +## Main definitions + +* `connectionSet G Γ v` — the set of group elements moving `v` to a neighbor +* `connectionSet.isConnectionSet` — the connection set satisfies the axioms +* `sabidussiEquiv` — the equivalence `V ≃ G ⧸ stabilizer G v` for transitive actions +* `sabidussiIso` — the graph isomorphism `Γ ≃g cosetGraph (stabilizer G v) D` + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §2. +* Sabidussi, *Vertex-transitive graphs*, Monatsh. Math. 68 (1964), 426–438. +-/ + +@[expose] public section + +variable {G V : Type*} [Group G] [MulAction G V] {Γ : SimpleGraph V} + +/-! ### The connection set -/ + +/-- The *connection set* of a basepoint `v` in a graph action: the set of group elements +that move `v` to one of its neighbors. -/ +def connectionSet (G : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) [GraphAction G V Γ] (v : V) : Set G := + {g : G | Γ.Adj v (g • v)} + +namespace connectionSet + +variable [GraphAction G V Γ] (v : V) + +theorem one_not_mem : (1 : G) ∉ connectionSet G Γ v := by + simp [connectionSet] + +theorem inv_mem {g : G} (hg : g ∈ connectionSet G Γ v) : + g⁻¹ ∈ connectionSet G Γ v := by + simp only [connectionSet, Set.mem_setOf_eq] at hg ⊢ + have h := Γ.symm hg + rwa [← GraphAction.adj_smul_iff g⁻¹, inv_smul_smul] at h + +theorem double_coset_stable {g : G} (hg : g ∈ connectionSet G Γ v) + {h₁ : G} (hh₁ : h₁ ∈ MulAction.stabilizer G v) + {h₂ : G} (hh₂ : h₂ ∈ MulAction.stabilizer G v) : + h₁ * g * h₂ ∈ connectionSet G Γ v := by + simp only [connectionSet, Set.mem_setOf_eq] at hg ⊢ + rw [mul_smul, mul_smul, MulAction.mem_stabilizer_iff.mp hh₂] + have := GraphAction.adj_smul h₁ v (g • v) hg + rwa [MulAction.mem_stabilizer_iff.mp hh₁] at this + +theorem disjoint_stabilizer : + Disjoint (connectionSet G Γ v) ↑(MulAction.stabilizer G v) := by + rw [Set.disjoint_left] + intro g hg hstab + simp only [connectionSet, Set.mem_setOf_eq] at hg + rw [SetLike.mem_coe, MulAction.mem_stabilizer_iff] at hstab + rw [hstab] at hg + exact (Γ.loopless.irrefl v) hg + +/-- The connection set forms a valid `IsConnectionSet` for the stabilizer subgroup. -/ +theorem isConnectionSet : + IsConnectionSet (MulAction.stabilizer G v) (connectionSet G Γ v) where + double_coset_stable _ hd _ hh₁ _ hh₂ := double_coset_stable v hd hh₁ hh₂ + inv_mem _ hd := inv_mem v hd + disjoint := disjoint_stabilizer v + +end connectionSet + +/-! ### The orbit-stabilizer equivalence -/ + +section SabidussiRepresentation + +variable [GraphAction G V Γ] [MulAction.IsPretransitive G V] (v : V) + +/-- The equivalence `V ≃ G ⧸ stabilizer G v` for a transitive action. + +The forward map sends `u` to the coset `gH` where `g • v = u`. +The inverse map sends `⟦g⟧` to `g • v`. -/ +noncomputable def sabidussiEquiv : V ≃ G ⧸ MulAction.stabilizer G v where + toFun u := QuotientGroup.mk (MulAction.exists_smul_eq G v u).choose + invFun := Quotient.lift (· • v) (by + intro a b hab + have hmem : (a⁻¹ * b) • v = v := + MulAction.mem_stabilizer_iff.mp (QuotientGroup.leftRel_apply.mp hab) + calc a • v = a • ((a⁻¹ * b) • v) := by rw [hmem] + _ = (a * (a⁻¹ * b)) • v := (mul_smul a (a⁻¹ * b) v).symm + _ = b • v := by rw [mul_inv_cancel_left]) + left_inv u := by + simp only + exact (MulAction.exists_smul_eq G v u).choose_spec + right_inv := by + intro q + refine Quotient.inductionOn q fun g => ?_ + simp only [Quotient.lift_mk] + apply QuotientGroup.eq.mpr + rw [MulAction.mem_stabilizer_iff, mul_smul] + set g' := (MulAction.exists_smul_eq G v (g • v)).choose + have hspec : g' • v = g • v := (MulAction.exists_smul_eq G v (g • v)).choose_spec + calc g'⁻¹ • (g • v) = g'⁻¹ • (g' • v) := by rw [hspec] + _ = v := inv_smul_smul g' v + +@[simp] +theorem sabidussiEquiv_smul (g : G) : + sabidussiEquiv v (g • v) = (g : G ⧸ MulAction.stabilizer G v) := by + simp only [sabidussiEquiv] + apply QuotientGroup.eq.mpr + rw [MulAction.mem_stabilizer_iff, mul_smul] + set g' := (MulAction.exists_smul_eq G v (g • v)).choose + have hspec : g' • v = g • v := (MulAction.exists_smul_eq G v (g • v)).choose_spec + calc g'⁻¹ • (g • v) = g'⁻¹ • (g' • v) := by rw [hspec] + _ = v := inv_smul_smul g' v + +@[simp] +theorem sabidussiEquiv_symm_mk (g : G) : + (sabidussiEquiv v).symm (QuotientGroup.mk g) = g • v := by + rfl + +/-- **Sabidussi's Representation Theorem**: Every vertex-transitive graph is +isomorphic to a coset graph. + +The orbit-stabilizer equivalence `V ≃ G ⧸ stabilizer G v` is a graph isomorphism +from `Γ` to `cosetGraph (stabilizer G v) (connectionSet G Γ v)`. -/ +noncomputable def sabidussiIso : + Γ ≃g SimpleGraph.cosetGraph (MulAction.stabilizer G v) + (connectionSet G Γ v) (connectionSet.isConnectionSet v) where + toEquiv := sabidussiEquiv v + map_rel_iff' := by + intro u w + set g₁ := (MulAction.exists_smul_eq G v u).choose + set g₂ := (MulAction.exists_smul_eq G v w).choose + have hu : g₁ • v = u := (MulAction.exists_smul_eq G v u).choose_spec + have hw : g₂ • v = w := (MulAction.exists_smul_eq G v w).choose_spec + change g₁⁻¹ * g₂ ∈ connectionSet G Γ v ↔ Γ.Adj u w + rw [← hu, ← hw] + simp only [connectionSet, Set.mem_setOf_eq, mul_smul] + constructor + · intro h + have := (@GraphAction.adj_smul_iff G V _ _ Γ _ g₁⁻¹ (g₁ • v) (g₂ • v)).mp + (by rwa [inv_smul_smul]) + exact this + · intro h + have := (@GraphAction.adj_smul_iff G V _ _ Γ _ g₁⁻¹ (g₁ • v) (g₂ • v)).mpr h + rwa [inv_smul_smul] at this + +end SabidussiRepresentation From f3269af1a17e7cbe079977a1eb1bf1d922d1d9e4 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 06:16:10 +1000 Subject: [PATCH 05/35] feat(Combinatorics/SimpleGraph): Lorimer's theorem and quotient graphs --- Mathlib.lean | 2 + .../SimpleGraph/QuotientGraph.lean | 134 ++++++++++++ .../Combinatorics/SimpleGraph/Symmetric.lean | 195 ++++++++++++++++++ 3 files changed, 331 insertions(+) create mode 100644 Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean create mode 100644 Mathlib/Combinatorics/SimpleGraph/Symmetric.lean diff --git a/Mathlib.lean b/Mathlib.lean index 4bcf38b25f4bdb..100ccd502ff9dd 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3621,6 +3621,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Operations public import Mathlib.Combinatorics.SimpleGraph.Partition public import Mathlib.Combinatorics.SimpleGraph.Paths public import Mathlib.Combinatorics.SimpleGraph.Prod +public import Mathlib.Combinatorics.SimpleGraph.QuotientGraph public import Mathlib.Combinatorics.SimpleGraph.Regularity.Bound public import Mathlib.Combinatorics.SimpleGraph.Regularity.Chunk public import Mathlib.Combinatorics.SimpleGraph.Regularity.Energy @@ -3632,6 +3633,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Representation public import Mathlib.Combinatorics.SimpleGraph.StronglyRegular public import Mathlib.Combinatorics.SimpleGraph.Subgraph public import Mathlib.Combinatorics.SimpleGraph.Sum +public import Mathlib.Combinatorics.SimpleGraph.Symmetric public import Mathlib.Combinatorics.SimpleGraph.Trails public import Mathlib.Combinatorics.SimpleGraph.Triangle.Basic public import Mathlib.Combinatorics.SimpleGraph.Triangle.Counting diff --git a/Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean b/Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean new file mode 100644 index 00000000000000..420b6dffab698e --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean @@ -0,0 +1,134 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Symmetric +public import Mathlib.GroupTheory.GroupAction.Blocks + +/-! +# Quotient graphs and the Lorimer quotient theorem + +The quotient of a symmetric graph `Sab(G, H, HaH)` by a `G`-invariant partition +is again a symmetric graph `Sab(G, K, KaK)` for some overgroup `H ≤ K ≤ G`. + +## Main definitions + +* `SimpleGraph.quotientGraph` — quotient of a graph by a surjection (partition) +* `cosetQuotientMap` — the natural map `G ⧸ H → G ⧸ K` for `H ≤ K` +* `expandConnectionSet` — the expanded connection set `KDK` for an overgroup `K` + +## Main results + +* `quotient_cosetGraph_iso` — the quotient of `Sab(G,H,D)` is isomorphic to `Sab(G,K,KDK)` + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §4. +-/ + +@[expose] public section + +variable {G : Type*} [Group G] + +/-! ### Quotient graph construction -/ + +/-- The **quotient graph** of `Γ` with respect to a surjection `π : V → ι`. -/ +def SimpleGraph.quotientGraph {V ι : Type*} (Γ : SimpleGraph V) (π : V → ι) : + SimpleGraph ι where + Adj i j := i ≠ j ∧ ∃ u v : V, π u = i ∧ π v = j ∧ Γ.Adj u v + symm := by + intro i j ⟨hne, u, v, hui, hvj, hadj⟩ + exact ⟨hne.symm, v, u, hvj, hui, Γ.symm hadj⟩ + loopless := ⟨fun i ⟨hne, _⟩ => hne rfl⟩ + +/-! ### The coset quotient map -/ + +/-- The natural map `G ⧸ H → G ⧸ K` for `H ≤ K`, sending `gH ↦ gK`. -/ +noncomputable def cosetQuotientMap (H K : Subgroup G) (hHK : H ≤ K) : + G ⧸ H → G ⧸ K := + Quotient.map' id (fun _ _ h => QuotientGroup.leftRel_apply.mpr + (hHK (QuotientGroup.leftRel_apply.mp h))) + +@[simp] +theorem cosetQuotientMap_mk (H K : Subgroup G) (hHK : H ≤ K) (g : G) : + cosetQuotientMap H K hHK (QuotientGroup.mk g) = QuotientGroup.mk g := + rfl + +/-! ### Expanded connection set KDK -/ + +/-- The expanded connection set `KDK` for an overgroup `K`. -/ +def expandConnectionSet (K : Subgroup G) (D : Set G) : Set G := + {g : G | ∃ k₁ ∈ (K : Set G), ∃ d ∈ D, ∃ k₂ ∈ (K : Set G), g = k₁ * d * k₂} + +/-- `KDK` is a valid connection set for `K` when `D ∩ K = ∅`. -/ +theorem expandConnectionSet_isConnectionSet (H K : Subgroup G) (D : Set G) + (hD : IsConnectionSet H D) (hDK : Disjoint D ↑K) : + IsConnectionSet K (expandConnectionSet K D) where + double_coset_stable := by + intro d hd m₁ hm₁ m₂ hm₂ + obtain ⟨k₁, hk₁, e, he, k₂, hk₂, rfl⟩ := hd + exact ⟨m₁ * k₁, K.mul_mem hm₁ hk₁, e, he, k₂ * m₂, K.mul_mem hk₂ hm₂, by group⟩ + inv_mem := by + intro d hd + obtain ⟨k₁, hk₁, e, he, k₂, hk₂, rfl⟩ := hd + exact ⟨k₂⁻¹, K.inv_mem hk₂, e⁻¹, hD.inv_mem e he, k₁⁻¹, K.inv_mem hk₁, by group⟩ + disjoint := by + rw [Set.disjoint_left] + intro g hg hgK + obtain ⟨k₁, hk₁, d, hd, k₂, hk₂, rfl⟩ := hg + have : d ∈ (K : Set G) := by + have := K.mul_mem (K.mul_mem (K.inv_mem hk₁) hgK) (K.inv_mem hk₂) + convert this using 1; group + exact Set.disjoint_left.mp hDK hd this + +/-! ### The Lorimer quotient theorem -/ + +/-- **Lorimer's Quotient Theorem**: The quotient of `Sab(G, H, D)` by the overgroup +`K ≥ H` (with `D ∩ K = ∅`) is isomorphic to `Sab(G, K, KDK)`. + +The quotient map `G ⧸ H → G ⧸ K` (sending `gH ↦ gK`) induces a graph +isomorphism from the quotient graph to the coset graph with expanded +connection set. -/ +noncomputable def quotient_cosetGraph_iso (H K : Subgroup G) (D : Set G) + (hD : IsConnectionSet H D) (hHK : H ≤ K) + (hDK : Disjoint D ↑K) : + SimpleGraph.quotientGraph (SimpleGraph.cosetGraph H D hD) (cosetQuotientMap H K hHK) ≃g + SimpleGraph.cosetGraph K (expandConnectionSet K D) + (expandConnectionSet_isConnectionSet H K D hD hDK) where + toEquiv := Equiv.refl _ + map_rel_iff' := by + intro q₁ q₂ + refine Quotient.inductionOn₂ q₁ q₂ fun x y => ?_ + simp only [Equiv.refl_apply] + rw [SimpleGraph.cosetGraph.adj_mk] + constructor + · intro ⟨k₁, hk₁, d, hd, k₂, hk₂, heq⟩ + refine ⟨?_, QuotientGroup.mk (x * k₁), + QuotientGroup.mk (x * k₁ * d), ?_, ?_, ?_⟩ + · intro heq' + have : d ∈ (K : Set G) := by + have hK : k₁ * d * k₂ ∈ (K : Set G) := heq ▸ QuotientGroup.eq.mp heq' + have := K.mul_mem (K.mul_mem (K.inv_mem hk₁) hK) (K.inv_mem hk₂) + convert this using 1; group + exact Set.disjoint_left.mp hDK hd this + · simp only [cosetQuotientMap_mk, QuotientGroup.eq] + have : (x * k₁)⁻¹ * x = k₁⁻¹ := by group + rw [this]; exact K.inv_mem hk₁ + · simp only [cosetQuotientMap_mk, QuotientGroup.eq] + have hy : y = x * (k₁ * d * k₂) := by rw [← heq]; group + have : (x * k₁ * d)⁻¹ * (x * (k₁ * d * k₂)) = k₂ := by group + rw [hy, this]; exact hk₂ + · convert hd using 1 + simp [mul_inv_rev, mul_assoc, inv_mul_cancel_left] + · intro ⟨_, u, v, hu, hv, hadj⟩ + revert hu hv hadj + refine Quotient.inductionOn₂ u v fun x' y' hx' hy' (hadj : x'⁻¹ * y' ∈ D) => ?_ + simp only [cosetQuotientMap_mk] at hx' hy' + have hxK : x⁻¹ * x' ∈ (K : Set G) := by + have := K.inv_mem (QuotientGroup.eq.mp hx' : x'⁻¹ * x ∈ K) + rwa [mul_inv_rev, inv_inv] at this + have hyK : y'⁻¹ * y ∈ (K : Set G) := QuotientGroup.eq.mp hy' + exact ⟨x⁻¹ * x', hxK, x'⁻¹ * y', hadj, y'⁻¹ * y, hyK, by group⟩ diff --git a/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean b/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean new file mode 100644 index 00000000000000..d39246b2bf7bf2 --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean @@ -0,0 +1,195 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Representation +public import Mathlib.GroupTheory.DoubleCoset +public import Mathlib.Tactic.Group + +/-! +# Symmetric graphs and Lorimer's theorem + +A *symmetric* (arc-transitive) graph is a coset graph `Sab(G, H, HaH)` where `a` is an +involution not in `H`. This file proves both directions of Lorimer's theorem: +the forward direction shows `Sab(G, H, HaH)` is arc-transitive when `a² = 1` and `a ∉ H`, +and the reverse direction shows every arc-transitive graph's connection set is a single +double coset `HaH` where `a` swaps an arc. + +## Main definitions + +* `doubleCoset_isConnectionSet` — `HaH` is a valid connection set when `a² = 1, a ∉ H` +* `sabidussiSymmetricGraph` — the coset graph `Sab(G, H, HaH)` + +## Main results + +* `lorimer_forward` — `Sab(G, H, HaH)` is arc-transitive when `a² = 1, a ∉ H` +* `connectionSet_eq_doubleCoset` — under arc-transitivity, the connection set is a single + double coset +* `lorimer_reverse` — every arc-transitive graph has an arc-swapping involution `a` with + `a ∉ Gᵥ`, `a² ∈ Gᵥ`, and `D = GᵥaGᵥ` + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §§3–4. +* Lorimer, *Vertex-transitive graphs*, 1984. +-/ + +@[expose] public section + +variable {G : Type*} [Group G] + +private theorem inv_eq_self_of_sq_eq_one {a : G} (ha : a ^ 2 = 1) : a⁻¹ = a := + inv_eq_of_mul_eq_one_left (by rwa [← sq]) + +open DoubleCoset in +/-- `HaH` is a valid connection set when `a² = 1` and `a ∉ H`. -/ +theorem doubleCoset_isConnectionSet (H : Subgroup G) (a : G) + (ha_sq : a ^ 2 = 1) (ha_not : a ∉ H) : + IsConnectionSet H (doubleCoset a (H : Set G) H) where + double_coset_stable := by + intro d hd k₁ hk₁ k₂ hk₂ + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := mem_doubleCoset.mp hd + exact mem_doubleCoset.mpr + ⟨k₁ * h₁, H.mul_mem hk₁ hh₁, h₂ * k₂, H.mul_mem hh₂ hk₂, by group⟩ + inv_mem := by + intro d hd + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := mem_doubleCoset.mp hd + have ha_inv := inv_eq_self_of_sq_eq_one ha_sq + refine mem_doubleCoset.mpr ⟨h₂⁻¹, H.inv_mem hh₂, h₁⁻¹, H.inv_mem hh₁, ?_⟩ + calc (h₁ * a * h₂)⁻¹ = h₂⁻¹ * a⁻¹ * h₁⁻¹ := by group + _ = h₂⁻¹ * a * h₁⁻¹ := by rw [ha_inv] + disjoint := by + rw [Set.disjoint_left] + intro g hg hgH + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := mem_doubleCoset.mp hg + have : a = h₁⁻¹ * (h₁ * a * h₂) * h₂⁻¹ := by group + rw [this] at ha_not + exact ha_not (H.mul_mem (H.mul_mem (H.inv_mem hh₁) hgH) (H.inv_mem hh₂)) + +section Lorimer + +variable (H : Subgroup G) (a : G) (ha_sq : a ^ 2 = 1) (ha_not : a ∉ H) + +noncomputable abbrev sabidussiSymmetricGraph := + SimpleGraph.cosetGraph H (DoubleCoset.doubleCoset a (H : Set G) H) + (doubleCoset_isConnectionSet H a ha_sq ha_not) + +/-- Local transitivity at the identity coset. -/ +private theorem locallyTransitive_at_one : + IsLocallyTransitive G (G ⧸ H) (sabidussiSymmetricGraph H a ha_sq ha_not) + ((1 : G) : G ⧸ H) := by + intro w₁ w₂ hw₁ hw₂ + revert hw₁ hw₂ + refine Quotient.inductionOn₂ w₁ w₂ fun y₁ y₂ hy₁ hy₂ => ?_ + change (1 : G)⁻¹ * y₁ ∈ _ at hy₁; change (1 : G)⁻¹ * y₂ ∈ _ at hy₂ + simp only [inv_one, one_mul] at hy₁ hy₂ + obtain ⟨h₁, hh₁, k₁, hk₁, rfl⟩ := DoubleCoset.mem_doubleCoset.mp hy₁ + obtain ⟨h₂, hh₂, k₂, hk₂, rfl⟩ := DoubleCoset.mem_doubleCoset.mp hy₂ + refine ⟨h₂ * h₁⁻¹, ?_, ?_⟩ + · change (h₂ * h₁⁻¹) • ((1 : G) : G ⧸ H) = (1 : G) + rw [MulAction.Quotient.smul_coe, smul_eq_mul, mul_one] + apply QuotientGroup.eq.mpr + show (h₂ * h₁⁻¹)⁻¹ * 1 ∈ H + simp only [mul_one, mul_inv_rev, inv_inv] + exact H.mul_mem hh₁ (H.inv_mem hh₂) + · change (h₂ * h₁⁻¹) • ((h₁ * a * k₁ : G) : G ⧸ H) = (h₂ * a * k₂ : G) + rw [MulAction.Quotient.smul_coe, smul_eq_mul, QuotientGroup.eq] + have ha_inv := inv_eq_self_of_sq_eq_one ha_sq + suffices h : (h₂ * h₁⁻¹ * (h₁ * a * k₁))⁻¹ * (h₂ * a * k₂) = k₁⁻¹ * k₂ by + rw [h]; exact H.mul_mem (H.inv_mem hk₁) hk₂ + calc (h₂ * h₁⁻¹ * (h₁ * a * k₁))⁻¹ * (h₂ * a * k₂) + = (h₂ * a * k₁)⁻¹ * (h₂ * a * k₂) := by congr 1; group + _ = k₁⁻¹ * a⁻¹ * (h₂⁻¹ * (h₂ * a * k₂)) := by group + _ = k₁⁻¹ * a⁻¹ * (a * k₂) := by rw [show h₂⁻¹ * (h₂ * a * k₂) = a * k₂ from by group] + _ = k₁⁻¹ * (a⁻¹ * a) * k₂ := by group + _ = k₁⁻¹ * k₂ := by rw [ha_inv]; simp [← sq, ha_sq] + +/-- Local transitivity at any vertex, transported from `⟦1⟧`. -/ +private theorem locallyTransitive_everywhere : + ∀ q : G ⧸ H, + IsLocallyTransitive G (G ⧸ H) (sabidussiSymmetricGraph H a ha_sq ha_not) q := by + intro q w₁ w₂ hw₁ hw₂ + set Γ := sabidussiSymmetricGraph H a ha_sq ha_not + obtain ⟨g, hg⟩ := MulAction.exists_smul_eq G ((1 : G) : G ⧸ H) q + have hw₁' : Γ.Adj ((1 : G) : G ⧸ H) (g⁻¹ • w₁) := by + have := (@GraphAction.adj_smul_iff G _ _ _ Γ _ g⁻¹ q w₁).mpr hw₁ + rwa [← hg, inv_smul_smul] at this + have hw₂' : Γ.Adj ((1 : G) : G ⧸ H) (g⁻¹ • w₂) := by + have := (@GraphAction.adj_smul_iff G _ _ _ Γ _ g⁻¹ q w₂).mpr hw₂ + rwa [← hg, inv_smul_smul] at this + obtain ⟨h, hfix, hsend⟩ := + locallyTransitive_at_one H a ha_sq ha_not (g⁻¹ • w₁) (g⁻¹ • w₂) hw₁' hw₂' + refine ⟨g * h * g⁻¹, ?_, ?_⟩ + · calc (g * h * g⁻¹) • q = g • (h • (g⁻¹ • q)) := by simp [mul_smul] + _ = g • (h • ((1 : G) : G ⧸ H)) := by rw [← hg, inv_smul_smul] + _ = g • ((1 : G) : G ⧸ H) := by rw [hfix] + _ = q := hg + · calc (g * h * g⁻¹) • w₁ = g • (h • (g⁻¹ • w₁)) := by simp [mul_smul] + _ = g • (g⁻¹ • w₂) := by rw [hsend] + _ = w₂ := smul_inv_smul g w₂ + +/-- **Lorimer's Theorem (forward direction)**: `Sab(G, H, HaH)` is arc-transitive +when `a² = 1` and `a ∉ H`. -/ +theorem lorimer_forward : + IsArcTransitive G (G ⧸ H) (sabidussiSymmetricGraph H a ha_sq ha_not) := + isArcTransitive_of_vertexTransitive_locallyTransitive _ + (locallyTransitive_everywhere H a ha_sq ha_not) + +end Lorimer + +/-! ### Lorimer's theorem (reverse direction) -/ + +/-- Under arc-transitivity, the stabilizer acts transitively on neighbors. -/ +theorem stabilizer_transitive_on_neighbors {V : Type*} [MulAction G V] + (Γ : SimpleGraph V) [IsArcTransitive G V Γ] + (v : V) {w u : V} (hw : Γ.Adj v w) (hu : Γ.Adj v u) : + ∃ h ∈ MulAction.stabilizer G v, h • w = u := by + obtain ⟨g, hgv, hgw⟩ := @IsArcTransitive.arc_transitive G V _ _ Γ _ v w v u hw hu + exact ⟨g, MulAction.mem_stabilizer_iff.mpr hgv, hgw⟩ + +/-- Under arc-transitivity, the connection set is a single double coset `HaH`. -/ +theorem connectionSet_eq_doubleCoset {V : Type*} [MulAction G V] + (Γ : SimpleGraph V) [IsArcTransitive G V Γ] + (v : V) {a : G} (ha : a ∈ connectionSet G Γ v) : + connectionSet G Γ v = + DoubleCoset.doubleCoset a (MulAction.stabilizer G v : Set G) + (MulAction.stabilizer G v) := by + ext g + constructor + · intro hg + obtain ⟨h, hh, hhw⟩ := @stabilizer_transitive_on_neighbors G _ V _ Γ _ v _ _ ha hg + rw [DoubleCoset.mem_doubleCoset] + exact ⟨h, hh, (g⁻¹ * (h * a))⁻¹, + (MulAction.stabilizer G v).inv_mem (by + rw [MulAction.mem_stabilizer_iff, mul_smul, mul_smul, hhw, inv_smul_smul]), + by group⟩ + · intro hg + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := DoubleCoset.mem_doubleCoset.mp hg + exact connectionSet.double_coset_stable v ha hh₁ hh₂ + +/-- **Lorimer's Theorem (reverse direction)**: Every arc-transitive graph's connection +set is a single `(H,H)`-double coset, determined by the arc-swapping element. + +Combined with `sabidussiIso`, this shows every arc-transitive graph +is `Sab(G, stabilizer G v, HaH)` where `a` swaps an arc `(v,w)`. -/ +theorem lorimer_reverse {V : Type*} [MulAction G V] + (Γ : SimpleGraph V) [IsArcTransitive G V Γ] + (v w : V) (hvw : Γ.Adj v w) : + ∃ a : G, a • v = w ∧ a • w = v ∧ a ∉ MulAction.stabilizer G v ∧ + a ^ 2 ∈ MulAction.stabilizer G v ∧ + connectionSet G Γ v = + DoubleCoset.doubleCoset a (MulAction.stabilizer G v : Set G) + (MulAction.stabilizer G v) := by + obtain ⟨a, hav, haw⟩ := + @IsArcTransitive.arc_transitive G V _ _ Γ _ v w w v hvw (Γ.symm hvw) + refine ⟨a, hav, haw, ?_, ?_, ?_⟩ + · intro hmem + rw [MulAction.mem_stabilizer_iff] at hmem + rw [hmem] at hav + exact Γ.loopless.irrefl v (hav ▸ hvw) + · rw [MulAction.mem_stabilizer_iff, sq, mul_smul, hav, haw] + · exact connectionSet_eq_doubleCoset Γ v (by + simp only [connectionSet, Set.mem_setOf_eq, hav]; exact hvw) From b4614a0982a897547bb1130929fe1b109a9d4a50 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 06:21:39 +1000 Subject: [PATCH 06/35] fix: drop unused GraphAction from connectionSet, add omit annotations --- Mathlib/Combinatorics/SimpleGraph/Representation.lean | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/Mathlib/Combinatorics/SimpleGraph/Representation.lean b/Mathlib/Combinatorics/SimpleGraph/Representation.lean index 020db8d31abfb8..b1faf6b2f9bd21 100644 --- a/Mathlib/Combinatorics/SimpleGraph/Representation.lean +++ b/Mathlib/Combinatorics/SimpleGraph/Representation.lean @@ -36,16 +36,17 @@ variable {G V : Type*} [Group G] [MulAction G V] {Γ : SimpleGraph V} /-! ### The connection set -/ -/-- The *connection set* of a basepoint `v` in a graph action: the set of group elements +/-- The *connection set* of a basepoint `v`: the set of group elements that move `v` to one of its neighbors. -/ def connectionSet (G : Type*) [Group G] [MulAction G V] - (Γ : SimpleGraph V) [GraphAction G V Γ] (v : V) : Set G := + (Γ : SimpleGraph V) (v : V) : Set G := {g : G | Γ.Adj v (g • v)} namespace connectionSet variable [GraphAction G V Γ] (v : V) +omit [GraphAction G V Γ] in theorem one_not_mem : (1 : G) ∉ connectionSet G Γ v := by simp [connectionSet] @@ -64,6 +65,7 @@ theorem double_coset_stable {g : G} (hg : g ∈ connectionSet G Γ v) have := GraphAction.adj_smul h₁ v (g • v) hg rwa [MulAction.mem_stabilizer_iff.mp hh₁] at this +omit [GraphAction G V Γ] in theorem disjoint_stabilizer : Disjoint (connectionSet G Γ v) ↑(MulAction.stabilizer G v) := by rw [Set.disjoint_left] From 1510488e02333555a137df65ad963566f649d0de Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Tue, 19 May 2026 06:42:28 +1000 Subject: [PATCH 07/35] doc: add docstring to sabidussiSymmetricGraph --- Mathlib/Combinatorics/SimpleGraph/Symmetric.lean | 1 + 1 file changed, 1 insertion(+) diff --git a/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean b/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean index d39246b2bf7bf2..396baa0b54a598 100644 --- a/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean +++ b/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean @@ -73,6 +73,7 @@ section Lorimer variable (H : Subgroup G) (a : G) (ha_sq : a ^ 2 = 1) (ha_not : a ∉ H) +/-- The coset graph `Sab(G, H, HaH)` for an involution `a ∉ H`. -/ noncomputable abbrev sabidussiSymmetricGraph := SimpleGraph.cosetGraph H (DoubleCoset.doubleCoset a (H : Set G) H) (doubleCoset_isConnectionSet H a ha_sq ha_not) From fe4e11eee0ffce43ed4769410c68576213a86c35 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 20:21:45 +1000 Subject: [PATCH 08/35] feat(Combinatorics): cellular surfaces, CSS codes, and k = 2g MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Defines CellularSurface (2-cell embedding of a graph on a closed surface) with boundary operators ∂₁, ∂₂ over F₂ and proves the chain complex condition ∂₁∘∂₂ = 0. Rank theorems rank(∂₁) = V-1 and rank(∂₂) = F-1 via kernel characterisation of connected graphs. Assembles into the CSS surface code theorem: a genus-g surface tiling encodes k = 2g logical qubits (Breuckmann-Terhal, arXiv:1506.04029). --- Mathlib.lean | 1 + Mathlib/Combinatorics/CellularSurface.lean | 479 +++++++++++++++++++++ 2 files changed, 480 insertions(+) create mode 100644 Mathlib/Combinatorics/CellularSurface.lean diff --git a/Mathlib.lean b/Mathlib.lean index 100ccd502ff9dd..7215598808ea0e 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3493,6 +3493,7 @@ public import Mathlib.Combinatorics.Additive.SubsetSum public import Mathlib.Combinatorics.Additive.VerySmallDoubling public import Mathlib.Combinatorics.Colex public import Mathlib.Combinatorics.Compactness +public import Mathlib.Combinatorics.CellularSurface public import Mathlib.Combinatorics.Configuration public import Mathlib.Combinatorics.Derangements.Basic public import Mathlib.Combinatorics.Derangements.Exponential diff --git a/Mathlib/Combinatorics/CellularSurface.lean b/Mathlib/Combinatorics/CellularSurface.lean new file mode 100644 index 00000000000000..3a47c15e8580e8 --- /dev/null +++ b/Mathlib/Combinatorics/CellularSurface.lean @@ -0,0 +1,479 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Data.ZMod.Basic +public import Mathlib.LinearAlgebra.Matrix.Rank +public import Mathlib.Algebra.BigOperators.Group.Finset.Basic +public import Mathlib.Algebra.Field.ZMod +public import Mathlib.LinearAlgebra.Dimension.Finite +public import Mathlib.LinearAlgebra.FiniteDimensional.Lemmas +public import Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected + +/-! +# Cellular surfaces, CSS codes, and k = 2g + +A `CellularSurface` encodes the combinatorial data of a 2-cell embedding of a graph +on a closed surface: vertices, edges with endpoints, and faces whose boundaries are +closed directed trails. The boundary operators ∂₁ (vertex-edge) and ∂₂ (edge-face) +are matrices over F₂, and the chain complex condition ∂₁ ∘ ∂₂ = 0 is proved from the +closed walk axiom. + +The rank theorems `rank(∂₁) = V - 1` and `rank(∂₂) = F - 1` follow from kernel +characterisations: for connected graphs, `ker(∂₁ᵀ) = span{1}` over F₂. + +A `SurfaceTiling` with genus g gives a CSS quantum error-correcting code encoding +`k = 2g` logical qubits: the first Betti number of the surface. This follows from +the rank theorems and Euler's formula `V - E + F = 2 - 2g`. + +## Main definitions + +* `CellularSurface` — combinatorial 2-cell embedding of a graph on a closed surface +* `CellularSurface.d1` — the boundary operator ∂₁ (vertex-edge incidence over F₂) +* `CellularSurface.d2` — the boundary operator ∂₂ (edge-face boundary over F₂) +* `SurfaceTiling` — a surface tiling with Euler characteristic `2 - 2g` +* `CSSFromTiling` — a CSS quantum code from a surface tiling + +## Main results + +* `CellularSurface.d1_mul_d2_eq_zero` — ∂₁ ∘ ∂₂ = 0 +* `CellularSurface.d1_rank_eq` — rank(∂₁) = V - 1 for connected graphs +* `CellularSurface.d2_rank_eq` — rank(∂₂) = F - 1 for connected dual graphs +* `css_k_eq_2g` — the CSS surface code encodes 2g logical qubits +* `CellularSurface.css_k_eq_2g_from_surface` — end-to-end from combinatorial data + +## References + +* Breuckmann & Terhal, *Constructions and noise threshold of hyperbolic surface codes*, + IEEE Trans. Inf. Theory 62(6), 2016, arXiv:1506.04029 +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +@[expose] public section + +open Matrix Finset + +attribute [local instance] ZMod.instField + +/-! ## CellularSurface -/ + +/-- A `CellularSurface` is the combinatorial data of a 2-cell embedding of a +graph on a closed surface. Faces are given as closed directed trails: +ordered sequences of directed edges forming closed walks in the graph. -/ +structure CellularSurface where + /-- Number of vertices (0-cells) -/ + nV : ℕ + /-- Number of edges (1-cells) -/ + nE : ℕ + /-- Number of faces (2-cells) -/ + nF : ℕ + /-- Source vertex of each edge -/ + edge_src : Fin nE → Fin nV + /-- Target vertex of each edge -/ + edge_tgt : Fin nE → Fin nV + /-- No loops: every edge has distinct endpoints -/ + edge_ne : ∀ e, edge_src e ≠ edge_tgt e + /-- Number of edges bounding each face -/ + face_len : Fin nF → ℕ + /-- Every face boundary is nonempty -/ + face_len_pos : ∀ f, 0 < face_len f + /-- The sequence of edges traversed by face f's boundary -/ + face_edge : (f : Fin nF) → Fin (face_len f) → Fin nE + /-- Traversal direction for each boundary step: `true` = src → tgt -/ + face_dir : (f : Fin nF) → Fin (face_len f) → Bool + /-- Trail condition: no edge is traversed twice in a single face boundary -/ + face_inj : ∀ f, Function.Injective (face_edge f) + /-- **Closed walk**: the end vertex of step `i` equals the start vertex of the + cyclically next step. -/ + face_closed : ∀ (f : Fin nF) (i : Fin (face_len f)), + let j : Fin (face_len f) := + ⟨(i.val + 1) % face_len f, Nat.mod_lt _ (face_len_pos f)⟩ + (if face_dir f i then edge_tgt (face_edge f i) else edge_src (face_edge f i)) = + (if face_dir f j then edge_src (face_edge f j) else edge_tgt (face_edge f j)) + +namespace CellularSurface + +variable (S : CellularSurface) + +/-- Cyclic successor on face boundary indices. -/ +def nextIdx (f : Fin S.nF) (i : Fin (S.face_len f)) : Fin (S.face_len f) := + ⟨(i.val + 1) % S.face_len f, Nat.mod_lt _ (S.face_len_pos f)⟩ + +/-- The starting vertex when traversing step `i` of face `f`'s boundary. -/ +def stepStart (f : Fin S.nF) (i : Fin (S.face_len f)) : Fin S.nV := + if S.face_dir f i then S.edge_src (S.face_edge f i) + else S.edge_tgt (S.face_edge f i) + +/-- The ending vertex when traversing step `i` of face `f`'s boundary. -/ +def stepEnd (f : Fin S.nF) (i : Fin (S.face_len f)) : Fin S.nV := + if S.face_dir f i then S.edge_tgt (S.face_edge f i) + else S.edge_src (S.face_edge f i) + +theorem stepEnd_eq_stepStart_next (f : Fin S.nF) (i : Fin (S.face_len f)) : + S.stepEnd f i = S.stepStart f (S.nextIdx f i) := + S.face_closed f i + +/-! ### Boundary operators over F₂ -/ + +/-- The boundary operator ∂₁: vertex–edge incidence matrix over F₂. -/ +def d1 : Matrix (Fin S.nV) (Fin S.nE) (ZMod 2) := + fun v e => (if S.edge_src e = v then 1 else 0) + (if S.edge_tgt e = v then 1 else 0) + +/-- The boundary operator ∂₂: edge–face boundary matrix over F₂. -/ +def d2 : Matrix (Fin S.nE) (Fin S.nF) (ZMod 2) := + fun e f => ∑ i : Fin (S.face_len f), if S.face_edge f i = e then 1 else 0 + +/-! ### ∂₁ ∘ ∂₂ = 0 -/ + +theorem nextIdx_injective (f : Fin S.nF) : Function.Injective (S.nextIdx f) := by + intro a b h + simp only [nextIdx, Fin.mk.injEq] at h + have ha := a.isLt; have hb := b.isLt + ext + by_cases ha' : a.val + 1 < S.face_len f <;> by_cases hb' : b.val + 1 < S.face_len f + · rw [Nat.mod_eq_of_lt ha', Nat.mod_eq_of_lt hb'] at h; omega + · rw [Nat.mod_eq_of_lt ha', show b.val + 1 = S.face_len f from by omega, Nat.mod_self] at h + omega + · rw [show a.val + 1 = S.face_len f from by omega, Nat.mod_self, Nat.mod_eq_of_lt hb'] at h + omega + · omega + +theorem nextIdx_bijective (f : Fin S.nF) : Function.Bijective (S.nextIdx f) := + Finite.injective_iff_bijective.mp (S.nextIdx_injective f) + +noncomputable def nextPerm (f : Fin S.nF) : Equiv.Perm (Fin (S.face_len f)) := + Equiv.ofBijective _ (S.nextIdx_bijective f) + +theorem d1_eq_start_add_end (v : Fin S.nV) (f : Fin S.nF) (i : Fin (S.face_len f)) : + S.d1 v (S.face_edge f i) = + (if S.stepStart f i = v then 1 else 0) + + (if S.stepEnd f i = v then 1 else 0) := by + unfold d1 stepStart stepEnd + rcases S.face_dir f i with _ | _ <;> simp [add_comm] + +/-- **∂₁ ∘ ∂₂ = 0**: the chain complex condition for cellular surfaces over F₂. -/ +theorem d1_mul_d2_eq_zero : S.d1 * S.d2 = 0 := by + ext v f + simp only [Matrix.mul_apply, d2, Matrix.zero_apply] + simp_rw [Finset.mul_sum] + rw [Finset.sum_comm] + have step2 : ∀ i : Fin (S.face_len f), + ∑ e : Fin S.nE, S.d1 v e * (if S.face_edge f i = e then 1 else 0) = + S.d1 v (S.face_edge f i) := by + intro i + conv_lhs => + arg 2; ext e + rw [show S.d1 v e * (if S.face_edge f i = e then 1 else 0) = + (if e = S.face_edge f i then S.d1 v e else 0) from by + split_ifs with h1 h2 h2 <;> simp_all [eq_comm]] + rw [Finset.sum_ite_eq']; simp [Finset.mem_univ] + simp_rw [step2, S.d1_eq_start_add_end v f, Finset.sum_add_distrib] + have step5 : ∀ i, (if S.stepEnd f i = v then (1 : ZMod 2) else 0) = + (if S.stepStart f (S.nextIdx f i) = v then 1 else 0) := by + intro i; rw [← S.stepEnd_eq_stepStart_next] + simp_rw [step5] + rw [show ∑ i, (if S.stepStart f (S.nextIdx f i) = v then (1 : ZMod 2) else 0) = + ∑ i, (if S.stepStart f i = v then 1 else 0) from + Equiv.sum_comp (S.nextPerm f) (fun j => if S.stepStart f j = v then 1 else 0)] + have : ∀ (x : ZMod 2), x + x = 0 := by decide + exact this _ + +/-! ### Rank theorems -/ + +theorem d1_col_sum_eq_zero (e : Fin S.nE) : + ∑ v : Fin S.nV, S.d1 v e = 0 := by + simp only [d1, Finset.sum_add_distrib] + have hsum : ∀ (a : Fin S.nV), + ∑ v : Fin S.nV, (if a = v then (1 : ZMod 2) else 0) = 1 := fun a => by + rw [Finset.sum_eq_single_of_mem a (Finset.mem_univ _) + (fun b _ hne => if_neg (Ne.symm hne)), if_pos rfl] + simp only [hsum]; decide + +theorem one_mem_ker_d1T : + (1 : Fin S.nV → ZMod 2) ∈ LinearMap.ker S.d1ᵀ.mulVecLin := by + rw [LinearMap.mem_ker]; ext e + simp only [mulVecLin_apply, mulVec, dotProduct, transpose_apply, Pi.zero_apply, + Pi.one_apply, mul_one] + exact S.d1_col_sum_eq_zero e + +theorem one_ne_zero_fin (hV : 0 < S.nV) : + (1 : Fin S.nV → ZMod 2) ≠ 0 := by + intro h; exact absurd (congr_fun h ⟨0, hV⟩) (by simp) + +theorem d1_rank_le (hV : 0 < S.nV) : S.d1.rank ≤ S.nV - 1 := by + rw [← rank_transpose S.d1] + have hrn := LinearMap.finrank_range_add_finrank_ker S.d1ᵀ.mulVecLin + simp only [rank, Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + have hker_ne : LinearMap.ker S.d1ᵀ.mulVecLin ≠ ⊥ := by + rw [ne_eq, LinearMap.ker_eq_bot']; push Not + exact ⟨1, (LinearMap.mem_ker.mp S.one_mem_ker_d1T), S.one_ne_zero_fin hV⟩ + have hker_pos : 1 ≤ Module.finrank (ZMod 2) (LinearMap.ker S.d1ᵀ.mulVecLin) := + Submodule.one_le_finrank_iff.mpr hker_ne + omega + +/-- The underlying simple graph of a CellularSurface. -/ +def toSimpleGraph : SimpleGraph (Fin S.nV) where + Adj u v := ∃ e : Fin S.nE, + (S.edge_src e = u ∧ S.edge_tgt e = v) ∨ (S.edge_src e = v ∧ S.edge_tgt e = u) + symm u v := fun ⟨e, h⟩ => ⟨e, h.symm⟩ + loopless := ⟨fun v ⟨e, h⟩ => by + rcases h with ⟨h1, h2⟩ | ⟨h1, h2⟩ <;> exact S.edge_ne e (h1.trans h2.symm)⟩ + +theorem d1T_mulVec_entry (x : Fin S.nV → ZMod 2) (e : Fin S.nE) : + (S.d1ᵀ *ᵥ x) e = x (S.edge_src e) + x (S.edge_tgt e) := by + simp only [mulVec, dotProduct, transpose_apply, d1, add_mul, Finset.sum_add_distrib] + have hsum : ∀ (a : Fin S.nV), + ∑ v : Fin S.nV, (if a = v then (1 : ZMod 2) else 0) * x v = x a := fun a => by + rw [Finset.sum_eq_single_of_mem a (Finset.mem_univ _) + (fun b _ hne => by simp [Ne.symm hne])]; simp + simp only [hsum] + +theorem ker_d1T_edge_eq {x : Fin S.nV → ZMod 2} + (hx : x ∈ LinearMap.ker S.d1ᵀ.mulVecLin) (e : Fin S.nE) : + x (S.edge_src e) = x (S.edge_tgt e) := by + have h := congr_fun (LinearMap.mem_ker.mp hx) e + simp only [mulVecLin_apply, Pi.zero_apply] at h + rw [S.d1T_mulVec_entry x e] at h + have : ∀ (a b : ZMod 2), a + b = 0 → a = b := by decide + exact this _ _ h + +theorem walk_preserves_ker {x : Fin S.nV → ZMod 2} + (hx : x ∈ LinearMap.ker S.d1ᵀ.mulVecLin) + {u v : Fin S.nV} (w : S.toSimpleGraph.Walk u v) : + x u = x v := by + induction w with + | nil => rfl + | cons hadj _ ih => + obtain ⟨e, h | h⟩ := hadj + · have := S.ker_d1T_edge_eq hx e; rw [h.1, h.2] at this; exact this.trans ih + · have := S.ker_d1T_edge_eq hx e; rw [h.1, h.2] at this; exact this.symm.trans ih + +theorem ker_d1T_le_span_one (hconn : S.toSimpleGraph.Connected) : + LinearMap.ker S.d1ᵀ.mulVecLin ≤ Submodule.span (ZMod 2) {1} := by + intro x hx + rw [Submodule.mem_span_singleton] + have hV : 0 < S.nV := by obtain ⟨⟨_, hlt⟩⟩ := hconn.nonempty; omega + have hconst : ∀ u v : Fin S.nV, x u = x v := fun u v => + S.walk_preserves_ker hx (hconn.preconnected u v).some + exact ⟨x ⟨0, hV⟩, funext fun v => by + simp [Pi.smul_apply, Pi.one_apply, smul_eq_mul, mul_one, hconst ⟨0, hV⟩ v]⟩ + +theorem ker_d1T_finrank_eq_one (hconn : S.toSimpleGraph.Connected) (hV : 0 < S.nV) : + Module.finrank (ZMod 2) (LinearMap.ker S.d1ᵀ.mulVecLin) = 1 := by + have heq : LinearMap.ker S.d1ᵀ.mulVecLin = + Submodule.span (ZMod 2) {(1 : Fin S.nV → ZMod 2)} := + le_antisymm (S.ker_d1T_le_span_one hconn) + ((Submodule.span_singleton_le_iff_mem _ _).mpr S.one_mem_ker_d1T) + rw [heq]; exact finrank_span_singleton (S.one_ne_zero_fin hV) + +/-- **rank(∂₁) = V - 1** for connected graphs. -/ +theorem d1_rank_eq (hconn : S.toSimpleGraph.Connected) (hV : 1 < S.nV) : + (S.d1.rank : ℤ) = S.nV - 1 := by + have hle := S.d1_rank_le (by omega) + have hge : S.nV - 1 ≤ S.d1.rank := by + rw [← rank_transpose S.d1] + have hrn := LinearMap.finrank_range_add_finrank_ker S.d1ᵀ.mulVecLin + simp only [rank, Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + rw [S.ker_d1T_finrank_eq_one hconn (by omega)] at hrn; omega + omega + +/-! ### Dual graph and rank(∂₂) -/ + +/-- The dual graph: faces as vertices, adjacent when sharing a boundary edge. -/ +def toDualSimpleGraph : SimpleGraph (Fin S.nF) where + Adj f1 f2 := f1 ≠ f2 ∧ ∃ e : Fin S.nE, + (∃ i, S.face_edge f1 i = e) ∧ (∃ j, S.face_edge f2 j = e) + symm _ _ := fun ⟨hne, e, h1, h2⟩ => ⟨hne.symm, e, h2, h1⟩ + loopless := ⟨fun _ ⟨hne, _⟩ => hne rfl⟩ + +theorem d2_entry (f : Fin S.nF) (e : Fin S.nE) : + S.d2 e f = if ∃ i, S.face_edge f i = e then 1 else 0 := by + simp only [d2]; split_ifs with h + · obtain ⟨i, hi⟩ := h + rw [Finset.sum_eq_single_of_mem i (Finset.mem_univ _) (fun k _ hki => + if_neg (fun hk => hki (S.face_inj f (hk.trans hi.symm))))]; simp [hi] + · push Not at h; exact Finset.sum_eq_zero (fun i _ => if_neg (h i)) + +theorem d2_rank_le (hF : 0 < S.nF) (htwo_vec : S.d2 *ᵥ 1 = 0) : + S.d2.rank ≤ S.nF - 1 := by + unfold rank + have hrn := LinearMap.finrank_range_add_finrank_ker S.d2.mulVecLin + simp only [Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + have hker_ne : LinearMap.ker S.d2.mulVecLin ≠ ⊥ := by + rw [ne_eq, LinearMap.ker_eq_bot']; push Not + exact ⟨1, by rwa [show S.d2.mulVecLin 1 = S.d2 *ᵥ 1 from rfl], + fun h => absurd (congr_fun h ⟨0, hF⟩) (by simp)⟩ + have : 1 ≤ Module.finrank (ZMod 2) (LinearMap.ker S.d2.mulVecLin) := + Submodule.one_le_finrank_iff.mpr hker_ne + omega + +theorem ker_d2_dual_adj_eq {y : Fin S.nF → ZMod 2} + (hy : y ∈ LinearMap.ker S.d2.mulVecLin) + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) + {f₁ f₂ : Fin S.nF} (hadj : S.toDualSimpleGraph.Adj f₁ f₂) : + y f₁ = y f₂ := by + obtain ⟨hne, e, ⟨i, hi⟩, ⟨j, hj⟩⟩ := hadj + have hd₁ : S.d2 e f₁ = 1 := by rw [S.d2_entry]; exact if_pos ⟨i, hi⟩ + have hd₂ : S.d2 e f₂ = 1 := by rw [S.d2_entry]; exact if_pos ⟨j, hj⟩ + obtain ⟨a, b, hab, hFe_eq⟩ := Finset.card_eq_two.mp (htwo e) + have hf₁_mem : f₁ ∈ ({a, b} : Finset _) := by + rw [← hFe_eq]; exact Finset.mem_filter.mpr ⟨Finset.mem_univ _, by simp [hd₁]⟩ + have hf₂_mem : f₂ ∈ ({a, b} : Finset _) := by + rw [← hFe_eq]; exact Finset.mem_filter.mpr ⟨Finset.mem_univ _, by simp [hd₂]⟩ + have hker_e : ∑ f, S.d2 e f * y f = 0 := by + have := congr_fun (LinearMap.mem_ker.mp hy) e + simpa [mulVecLin_apply, mulVec, dotProduct] using this + have hpair : y a + y b = 0 := by + have hsplit : ∑ f, S.d2 e f * y f = + ∑ f ∈ Finset.univ.filter (fun f => S.d2 e f ≠ 0), S.d2 e f * y f := by + symm; apply Finset.sum_subset (Finset.filter_subset _ _) + intro f _ hf; simp only [Finset.mem_filter, Finset.mem_univ, true_and, not_not] at hf + rw [hf, zero_mul] + rw [hsplit, hFe_eq, Finset.sum_pair hab] at hker_e + have hzmod2 : ∀ (x : ZMod 2), x ≠ 0 → x = 1 := by decide + have ha_ne := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert_self a {b})).2 + have hb_ne := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert.mpr + (Or.inr (Finset.mem_singleton.mpr rfl)))).2 + rwa [hzmod2 _ ha_ne, hzmod2 _ hb_ne, one_mul, one_mul] at hker_e + have hab_eq : y a = y b := by + have : ∀ (x z : ZMod 2), x + z = 0 → x = z := by decide + exact this _ _ hpair + simp only [Finset.mem_insert, Finset.mem_singleton] at hf₁_mem hf₂_mem + rcases hf₁_mem with rfl | rfl <;> rcases hf₂_mem with rfl | rfl + · exact absurd rfl hne + · exact hab_eq + · exact hab_eq.symm + · exact absurd rfl hne + +theorem d2_mulVec_one_of_two_sides + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) : + S.d2 *ᵥ 1 = 0 := by + ext e + simp only [mulVec, dotProduct, Pi.one_apply, mul_one, Pi.zero_apply] + rw [show ∑ f, S.d2 e f = ∑ f ∈ Finset.univ.filter (fun f => S.d2 e f ≠ 0), S.d2 e f from by + symm; apply Finset.sum_subset (Finset.filter_subset _ _) + intro f _ hf; simpa using hf] + obtain ⟨a, b, hab, hFe_eq⟩ := Finset.card_eq_two.mp (htwo e) + rw [hFe_eq, Finset.sum_pair hab] + have hzmod2 : ∀ (x : ZMod 2), x ≠ 0 → x = 1 := by decide + have ha := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert_self a {b})).2 + have hb := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert.mpr + (Or.inr (Finset.mem_singleton.mpr rfl)))).2 + rw [hzmod2 _ ha, hzmod2 _ hb]; decide + +/-- **rank(∂₂) = F - 1** for connected dual graphs with the two-sides condition. -/ +theorem d2_rank_eq (hconn_dual : S.toDualSimpleGraph.Connected) (hF : 1 < S.nF) + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) : + (S.d2.rank : ℤ) = S.nF - 1 := by + have hF_pos : 0 < S.nF := by omega + have hmem : (1 : Fin S.nF → ZMod 2) ∈ LinearMap.ker S.d2.mulVecLin := by + rw [LinearMap.mem_ker, mulVecLin_apply]; exact S.d2_mulVec_one_of_two_sides htwo + have heq : LinearMap.ker S.d2.mulVecLin = + Submodule.span (ZMod 2) {(1 : Fin S.nF → ZMod 2)} := + le_antisymm + (by intro y hy; rw [Submodule.mem_span_singleton] + have hconst : ∀ a b : Fin S.nF, y a = y b := fun a b => + by induction (hconn_dual.preconnected a b).some with + | nil => rfl + | cons hadj _ ih => exact (S.ker_d2_dual_adj_eq hy htwo hadj).trans ih + exact ⟨y ⟨0, hF_pos⟩, funext fun v => by + simp [Pi.smul_apply, Pi.one_apply, smul_eq_mul, mul_one, hconst ⟨0, hF_pos⟩ v]⟩) + ((Submodule.span_singleton_le_iff_mem _ _).mpr hmem) + have hle := S.d2_rank_le hF_pos (S.d2_mulVec_one_of_two_sides htwo) + have hge : S.nF - 1 ≤ S.d2.rank := by + have hker : Module.finrank (ZMod 2) (LinearMap.ker S.d2.mulVecLin) = 1 := by + rw [heq]; exact finrank_span_singleton (fun h => absurd (congr_fun h ⟨0, hF_pos⟩) (by simp)) + have hrn := LinearMap.finrank_range_add_finrank_ker S.d2.mulVecLin + simp only [rank, Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + rw [hker] at hrn; omega + omega + +end CellularSurface + +/-! ## CSS quantum codes from surface tilings -/ + +/-- A tiling of a closed orientable surface of genus `g`. -/ +structure SurfaceTiling where + /-- Number of vertices -/ + V : ℕ + /-- Number of edges -/ + E : ℕ + /-- Number of faces -/ + F : ℕ + /-- Genus of the surface -/ + g : ℕ + /-- The primal graph is non-degenerate -/ + hV : 0 < V + /-- The dual graph is non-degenerate -/ + hF : 0 < F + /-- Euler's formula -/ + euler : (V : ℤ) - E + F = 2 - 2 * g + +/-- A CSS quantum code from a surface tiling. -/ +structure CSSFromTiling (T : SurfaceTiling) where + /-- X-check matrix (vertex-edge incidence) -/ + H_X : Matrix (Fin T.V) (Fin T.E) (ZMod 2) + /-- Z-check matrix (face-edge incidence) -/ + H_Z : Matrix (Fin T.F) (Fin T.E) (ZMod 2) + /-- CSS orthogonality -/ + orthogonal : H_X * H_Zᵀ = 0 + +namespace CSSFromTiling + +variable {T : SurfaceTiling} + +/-- The number of logical qubits: k = E - rank(H_X) - rank(H_Z). -/ +noncomputable def k (css : CSSFromTiling T) : ℤ := + (T.E : ℤ) - css.H_X.rank - css.H_Z.rank + +end CSSFromTiling + +/-- **The CSS surface code theorem**: k = 2g. -/ +theorem css_k_eq_2g (T : SurfaceTiling) (css : CSSFromTiling T) + (hX : (css.H_X.rank : ℤ) = T.V - 1) + (hZ : (css.H_Z.rank : ℤ) = T.F - 1) : + css.k = 2 * T.g := by + unfold CSSFromTiling.k + linarith [T.euler] + +/-! ## Assembly: CellularSurface → k = 2g -/ + +/-- Extract a `SurfaceTiling` from a `CellularSurface` with given genus. -/ +def CellularSurface.toSurfaceTiling (S : CellularSurface) (g : ℕ) + (hV : 0 < S.nV) (hF : 0 < S.nF) + (euler : (S.nV : ℤ) - S.nE + S.nF = 2 - 2 * g) : SurfaceTiling where + V := S.nV + E := S.nE + F := S.nF + g := g + hV := hV + hF := hF + euler := euler + +/-- **End-to-end theorem**: a CellularSurface with connected primal and dual graphs +on a genus-g surface encodes exactly 2g logical qubits. -/ +theorem CellularSurface.css_k_eq_2g_from_surface (S : CellularSurface) (g : ℕ) + (hV : 1 < S.nV) (hF : 1 < S.nF) + (euler : (S.nV : ℤ) - S.nE + S.nF = 2 - 2 * g) + (hconn : S.toSimpleGraph.Connected) + (hconn_dual : S.toDualSimpleGraph.Connected) + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) : + let T := S.toSurfaceTiling g (by omega) (by omega) euler + let css : CSSFromTiling T := + { H_X := S.d1 + H_Z := S.d2ᵀ + orthogonal := by rw [Matrix.transpose_transpose]; exact S.d1_mul_d2_eq_zero } + css.k = 2 * g := by + intro T css + apply css_k_eq_2g + · exact S.d1_rank_eq hconn hV + · show (S.d2ᵀ.rank : ℤ) = S.nF - 1 + rw [rank_transpose] + exact S.d2_rank_eq hconn_dual hF htwo From 925e6dd5be79f7f8d0e2327c4db01882d1f80050 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 20:29:09 +1000 Subject: [PATCH 09/35] feat(Archive): surface instances for CSS codes (genus 1, 2, 3, 505) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Four CellularSurface instances spanning three orders of magnitude: - Heawood (genus 1): Fano plane on torus, 14V/21E/7F, k=2 - Bolza (genus 2): Möbius-Kantor on genus 2, 16V/24E/6F, k=4 - Klein quartic (genus 3): PSL(2,7) on genus 3, 56V/84E/24F, k=6 - Clayworth (genus 505): G₂(2)/C₃ on genus 505, 4032V/6048E/1008F, k=1010 Klein and Clayworth use Array-backed data to avoid elaborator crash on large vector literals. --- Archive.lean | 4 + Archive/BolzaSurface.lean | 58 + Archive/ClayworthSurface.lean | 2208 +++++++++++++++++++++++++++++++++ Archive/HeawoodSurface.lean | 66 + Archive/KleinSurface.lean | 171 +++ 5 files changed, 2507 insertions(+) create mode 100644 Archive/BolzaSurface.lean create mode 100644 Archive/ClayworthSurface.lean create mode 100644 Archive/HeawoodSurface.lean create mode 100644 Archive/KleinSurface.lean diff --git a/Archive.lean b/Archive.lean index 8ca03e8bc806d9..4ab4e216f56ac5 100644 --- a/Archive.lean +++ b/Archive.lean @@ -1,4 +1,6 @@ import Archive.Arithcc +import Archive.BolzaSurface +import Archive.ClayworthSurface import Archive.Examples.Eisenstein import Archive.Examples.IfNormalization.Result import Archive.Examples.IfNormalization.Statement @@ -7,6 +9,7 @@ import Archive.Examples.Kuratowski import Archive.Examples.MersennePrimes import Archive.Examples.PropEncodable import Archive.Hairer +import Archive.HeawoodSurface import Archive.Imo.Imo1959Q1 import Archive.Imo.Imo1959Q2 import Archive.Imo.Imo1960Q1 @@ -60,6 +63,7 @@ import Archive.Imo.Imo2024Q3 import Archive.Imo.Imo2024Q5 import Archive.Imo.Imo2024Q6 import Archive.Imo.Imo2025Q3 +import Archive.KleinSurface import Archive.Kuratowski import Archive.MinimalSheffer import Archive.MiuLanguage.Basic diff --git a/Archive/BolzaSurface.lean b/Archive/BolzaSurface.lean new file mode 100644 index 00000000000000..aa3717e4aad577 --- /dev/null +++ b/Archive/BolzaSurface.lean @@ -0,0 +1,58 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer + +# The Bolza Surface: Möbius-Kantor Graph (F016A) on Genus 2 + +The Möbius-Kantor graph (Foster census F016A) = generalized Petersen graph +GP(8,3). It is a cubic arc-transitive graph on 16 vertices. + + - **Sabidussi**: Sab(GL(2,3), C₃, a), |GL(2,3)| = 48, from Δ(2,3,8) + - **Tiling**: {8,3} — 6 octagonal faces on the Bolza surface (genus 2) + - **CSS code**: [[24, 4, ≥ 6]] + +All axioms verified by the Lean kernel (`decide`). No sorry. +-/ + +import Mathlib.Combinatorics.CellularSurface + +open CellularSurface + +/-- The Möbius-Kantor graph GP(8,3) embedded on the Bolza surface (genus 2). + 16 vertices, 24 edges, 6 octagonal faces. -/ +def bolzaSurface : CellularSurface where + nV := 16 + nE := 24 + nF := 6 + -- Edges 0–7: outer ring, 8–15: inner star, 16–23: spokes + edge_src := ![0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7] + edge_tgt := ![1, 2, 3, 4, 5, 6, 7, 0, 11, 12, 13, 14, 15, 8, 9, 10, 8, 9, 10, 11, 12, 13, 14, 15] + edge_ne := by decide + face_len := fun _ => 8 + face_len_pos := fun _ => by norm_num + face_edge := ![ + ![0, 17, 9, 20, 4, 21, 13, 16], -- 0→1→9→12→4→5→13→8→0 + ![7, 6, 5, 4, 3, 2, 1, 0], -- 0→7→6→5→4→3→2→1→0 (outer ring reversed) + ![16, 8, 19, 3, 20, 12, 23, 7], -- 0→8→11→3→4→12→15→7→0 + ![1, 18, 10, 21, 5, 22, 14, 17], -- 1→2→10→13→5→6→14→9→1 + ![2, 19, 11, 22, 6, 23, 15, 18], -- 2→3→11→14→6→7→15→10→2 + ![13, 10, 15, 12, 9, 14, 11, 8] -- 8→13→10→15→12→9→14→11→8 (inner star reversed) + ] + face_dir := ![ + ![true, true, true, false, true, true, true, false], + ![false, false, false, false, false, false, false, false], + ![true, true, false, true, true, true, false, true], + ![true, true, true, false, true, true, true, false], + ![true, true, true, false, true, true, true, false], + ![false, false, false, false, false, false, false, false] + ] + face_inj := by decide + face_closed := by decide + +/-- The Bolza surface satisfies ∂² = 0. -/ +theorem bolza_d1_mul_d2_eq_zero : bolzaSurface.d1 * bolzaSurface.d2 = 0 := + bolzaSurface.d1_mul_d2_eq_zero + +/-- Euler characteristic confirms genus 2. -/ +theorem bolza_euler : (16 : ℤ) - 24 + 6 = 2 - 2 * 2 := by norm_num diff --git a/Archive/ClayworthSurface.lean b/Archive/ClayworthSurface.lean new file mode 100644 index 00000000000000..5ba61531aaa6da --- /dev/null +++ b/Archive/ClayworthSurface.lean @@ -0,0 +1,2208 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer + +# Clayworth Surface (G₂(2)/C₃): Array-backed CellularSurface + +Clayworth {12,3} tiling of genus 505, from Sab(G₂(2), C₃). + +This file is auto-generated by `generate_lean_surface.py` from +`cellular_surfaces_data.json`. It uses Array-backed data to avoid +the elaborator crash caused by `![...]` on large vectors. + + - V = 4032, E = 6048, F = 1008 + - Face size = 12 (dodecagonal) + - Genus = 505 + - χ = 4032 - 6048 + 1008 = -1008 = 2 - 2 × 505 +-/ + +import Mathlib.Combinatorics.CellularSurface + + +set_option linter.style.nativeDecide false + +/-! ## Array-backed lookup + + We store edge/face data in `Array` literals (flat memory, O(1) lookup) + rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration depth). + A helper converts `Array` + size proof → `Fin n → α`. -/ + +/-- Convert an Array to a function on Fin, given a proof that the array has + the right size. Uses `a[i]'h` for O(1) lookup. -/ +def arrayToFin₂ {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := + a[i.val]'(by omega) + +/-! ## Raw data arrays -/ + +private def ClayworthSurface_edge_src_data_chunk0 : Array (Fin 4032) := + #[ + 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, + 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, + 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, + 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, + 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 32, 32, 32, 33, + 33, 33, 34, 34, 34, 35, 35, 35, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 39, + 40, 40, 40, 41, 41, 41, 42, 42, 42, 43, 43, 43, 44, 44, 44, 45, 45, 45, 46, 46, + 46, 47, 47, 47, 48, 48, 48, 49, 49, 49, 50, 50, 50, 51, 51, 51, 52, 52, 52, 53, + 53, 53, 54, 54, 54, 55, 55, 55, 56, 56, 56, 57, 57, 57, 58, 58, 58, 59, 59, 59, + 60, 60, 60, 61, 61, 61, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, + 66, 67, 67, 67, 68, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 72, 72, 72, 73, + 73, 73, 74, 74, 74, 75, 75, 75, 76, 76, 76, 77, 77, 77, 78, 78, 78, 79, 79, 79, + 80, 80, 80, 81, 81, 81, 82, 82, 82, 83, 83, 83, 84, 84, 84, 85, 85, 85, 86, 86, + 86, 87, 87, 87, 88, 88, 88, 89, 89, 89, 90, 90, 90, 91, 91, 91, 92, 92, 92, 93, + 93, 93, 94, 94, 94, 95, 95, 95, 96, 96, 96, 97, 97, 97, 98, 98, 98, 99, 99, 99, + 100, 100, 100, 101, 101, 101, 102, 102, 102, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, 106, + 106, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 111, 111, 111, 112, 112, 112, 113, + 113, 113, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 119, 119, 119, + 120, 120, 120, 121, 121, 121, 122, 122, 122, 123, 123, 123, 124, 124, 124, 125, 125, 125, 126, 126, + 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 133, + 133, 133, 134, 134, 134, 135, 135, 135, 136, 136, 136, 137, 137, 137, 138, 138, 138, 139, 139, 139, + 140, 140, 140, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 145, 145, 145, 146, 146, + 146, 147, 147, 147, 148, 148, 148, 149, 149, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, + 153, 153, 154, 154, 154, 155, 155, 155, 156, 156, 156, 157, 157, 157, 158, 158, 158, 159, 159, 159, + 160, 160, 160, 161, 161, 161, 162, 162, 162, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, 166 + ] + +private def ClayworthSurface_edge_src_data_chunk1 : Array (Fin 4032) := + #[ + 166, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 171, 171, 171, 172, 172, 172, 173, + 173, 173, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 178, 178, 178, 179, 179, 179, + 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 186, 186, + 186, 187, 187, 187, 188, 188, 188, 189, 189, 189, 190, 190, 190, 191, 191, 191, 192, 192, 192, 193, + 193, 193, 194, 194, 194, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 199, 199, 199, + 200, 200, 200, 201, 201, 201, 202, 202, 202, 203, 203, 203, 204, 204, 204, 205, 205, 205, 206, 206, + 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 212, 213, + 213, 213, 214, 214, 214, 215, 215, 215, 216, 216, 216, 217, 217, 217, 218, 218, 218, 219, 219, 219, + 220, 220, 220, 221, 221, 221, 222, 222, 222, 223, 223, 223, 224, 224, 224, 225, 225, 225, 226, 226, + 226, 227, 227, 227, 228, 228, 228, 229, 229, 229, 230, 230, 230, 231, 231, 231, 232, 232, 232, 233, + 233, 233, 234, 234, 234, 235, 235, 235, 236, 236, 236, 237, 237, 237, 238, 238, 238, 239, 239, 239, + 240, 240, 240, 241, 241, 241, 242, 242, 242, 243, 243, 243, 244, 244, 244, 245, 245, 245, 246, 246, + 246, 247, 247, 247, 248, 248, 248, 249, 249, 249, 250, 250, 250, 251, 251, 251, 252, 252, 252, 253, + 253, 253, 254, 254, 254, 255, 255, 255, 256, 256, 256, 257, 257, 257, 258, 258, 258, 259, 259, 259, + 260, 260, 260, 261, 261, 261, 262, 262, 262, 263, 263, 263, 264, 264, 264, 265, 265, 265, 266, 266, + 266, 267, 267, 267, 268, 268, 268, 269, 269, 269, 270, 270, 270, 271, 271, 271, 272, 272, 272, 273, + 273, 273, 274, 274, 274, 275, 275, 275, 276, 276, 276, 277, 277, 277, 278, 278, 278, 279, 279, 279, + 280, 280, 280, 281, 281, 281, 282, 282, 282, 283, 283, 283, 284, 284, 284, 285, 285, 285, 286, 286, + 286, 287, 287, 287, 288, 288, 288, 289, 289, 289, 290, 290, 290, 291, 291, 291, 292, 292, 292, 293, + 293, 293, 294, 294, 294, 295, 295, 295, 296, 296, 296, 297, 297, 297, 298, 298, 298, 299, 299, 299, + 300, 300, 300, 301, 301, 301, 302, 302, 302, 303, 303, 303, 304, 304, 304, 305, 305, 305, 306, 306, + 306, 307, 307, 307, 308, 308, 308, 309, 309, 309, 310, 310, 310, 311, 311, 311, 312, 312, 312, 313, + 313, 313, 314, 314, 314, 315, 315, 315, 316, 316, 316, 317, 317, 317, 318, 318, 318, 319, 319, 319, + 320, 320, 320, 321, 321, 321, 322, 322, 322, 323, 323, 323, 324, 324, 324, 325, 325, 325, 326, 326, + 326, 327, 327, 327, 328, 328, 328, 329, 329, 329, 330, 330, 330, 331, 331, 331, 332, 332, 332, 333 + ] + +private def ClayworthSurface_edge_src_data_chunk2 : Array (Fin 4032) := + #[ + 333, 333, 334, 334, 334, 335, 335, 335, 336, 336, 336, 337, 337, 337, 338, 338, 338, 339, 339, 339, + 340, 340, 340, 341, 341, 341, 342, 342, 342, 343, 343, 343, 344, 344, 344, 345, 345, 345, 346, 346, + 346, 347, 347, 347, 348, 348, 348, 349, 349, 349, 350, 350, 350, 351, 351, 351, 352, 352, 352, 353, + 353, 353, 354, 354, 354, 355, 355, 355, 356, 356, 356, 357, 357, 357, 358, 358, 358, 359, 359, 359, + 360, 360, 360, 361, 361, 361, 362, 362, 362, 363, 363, 363, 364, 364, 364, 365, 365, 365, 366, 366, + 366, 367, 367, 367, 368, 368, 368, 369, 369, 369, 370, 370, 370, 371, 371, 371, 372, 372, 372, 373, + 373, 373, 374, 374, 374, 375, 375, 375, 376, 376, 376, 377, 377, 377, 378, 378, 378, 379, 379, 379, + 380, 380, 380, 381, 381, 381, 382, 382, 382, 383, 383, 383, 384, 384, 384, 385, 385, 385, 386, 386, + 386, 387, 387, 387, 388, 388, 388, 389, 389, 389, 390, 390, 390, 391, 391, 391, 392, 392, 392, 393, + 393, 393, 394, 394, 394, 395, 395, 395, 396, 396, 396, 397, 397, 397, 398, 398, 398, 399, 399, 399, + 400, 400, 400, 401, 401, 401, 402, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, 406, + 406, 407, 407, 407, 408, 408, 408, 409, 409, 409, 410, 410, 410, 411, 411, 411, 412, 412, 412, 413, + 413, 413, 414, 414, 414, 415, 415, 415, 416, 416, 416, 417, 417, 417, 418, 418, 418, 419, 419, 419, + 420, 420, 420, 421, 421, 421, 422, 422, 422, 423, 423, 423, 424, 424, 424, 425, 425, 425, 426, 426, + 426, 427, 427, 427, 428, 428, 428, 429, 429, 429, 430, 430, 430, 431, 431, 431, 432, 432, 432, 433, + 433, 433, 434, 434, 434, 435, 435, 435, 436, 436, 436, 437, 437, 437, 438, 438, 438, 439, 439, 439, + 440, 440, 440, 441, 441, 441, 442, 442, 442, 443, 443, 443, 444, 444, 444, 445, 445, 445, 446, 446, + 446, 447, 447, 447, 448, 448, 448, 449, 449, 449, 450, 450, 450, 451, 451, 452, 452, 453, 453, 453, + 454, 454, 454, 455, 455, 456, 456, 456, 457, 457, 458, 458, 458, 459, 459, 459, 460, 460, 460, 461, + 461, 461, 462, 462, 462, 463, 463, 463, 464, 464, 464, 465, 465, 465, 466, 466, 467, 467, 468, 468, + 468, 469, 469, 469, 470, 470, 470, 471, 471, 471, 472, 472, 472, 473, 473, 474, 474, 474, 475, 475, + 475, 476, 476, 477, 477, 477, 478, 478, 478, 479, 479, 479, 480, 480, 480, 481, 481, 481, 482, 482, + 483, 483, 483, 484, 484, 485, 485, 485, 486, 486, 486, 487, 487, 487, 488, 488, 489, 489, 490, 490, + 491, 491, 492, 492, 493, 493, 493, 494, 494, 494, 495, 495, 496, 496, 496, 497, 497, 497, 498, 498, + 499, 499, 500, 500, 500, 501, 501, 501, 502, 502, 502, 503, 503, 503, 504, 504, 504, 505, 505, 506 + ] + +private def ClayworthSurface_edge_src_data_chunk3 : Array (Fin 4032) := + #[ + 506, 507, 507, 508, 508, 508, 509, 509, 510, 510, 511, 511, 512, 512, 512, 513, 513, 513, 514, 514, + 514, 515, 515, 516, 516, 517, 517, 517, 518, 518, 518, 519, 519, 520, 520, 520, 521, 521, 522, 522, + 522, 523, 523, 523, 524, 524, 524, 525, 525, 525, 526, 526, 526, 527, 527, 527, 528, 528, 528, 529, + 529, 529, 530, 530, 531, 531, 532, 532, 532, 533, 533, 533, 534, 534, 534, 535, 535, 535, 536, 536, + 536, 537, 537, 538, 538, 538, 539, 539, 539, 540, 540, 541, 541, 541, 542, 542, 542, 543, 543, 543, + 544, 544, 544, 545, 545, 545, 546, 546, 547, 547, 547, 548, 548, 549, 549, 549, 550, 550, 550, 551, + 551, 551, 552, 552, 553, 553, 554, 554, 555, 555, 556, 556, 557, 557, 557, 558, 558, 558, 559, 559, + 560, 560, 560, 561, 561, 561, 562, 562, 563, 563, 564, 564, 564, 565, 565, 565, 566, 566, 566, 567, + 567, 567, 568, 568, 568, 569, 569, 570, 570, 571, 571, 572, 572, 572, 573, 573, 574, 574, 575, 575, + 576, 576, 576, 577, 577, 577, 578, 578, 578, 579, 579, 580, 580, 581, 581, 581, 582, 582, 582, 583, + 583, 584, 584, 584, 585, 585, 586, 586, 586, 587, 587, 587, 588, 588, 588, 589, 589, 589, 590, 590, + 590, 591, 591, 591, 592, 592, 592, 593, 593, 593, 594, 594, 595, 595, 596, 596, 596, 597, 597, 597, + 598, 598, 598, 599, 599, 599, 600, 600, 600, 601, 601, 602, 602, 602, 603, 603, 603, 604, 604, 605, + 605, 605, 606, 606, 606, 607, 607, 607, 608, 608, 608, 609, 609, 609, 610, 610, 611, 611, 611, 612, + 612, 613, 613, 613, 614, 614, 614, 615, 615, 615, 616, 616, 617, 617, 618, 618, 619, 619, 620, 620, + 621, 621, 621, 622, 622, 622, 623, 623, 624, 624, 624, 625, 625, 625, 626, 626, 627, 627, 628, 628, + 628, 629, 629, 629, 630, 630, 630, 631, 631, 631, 632, 632, 632, 633, 633, 634, 634, 635, 635, 636, + 636, 636, 637, 637, 638, 638, 639, 639, 640, 640, 640, 641, 641, 641, 642, 642, 642, 643, 643, 644, + 644, 645, 645, 645, 646, 646, 646, 647, 647, 648, 648, 648, 649, 649, 650, 650, 650, 651, 651, 651, + 652, 652, 652, 653, 653, 653, 654, 654, 654, 655, 655, 655, 656, 656, 656, 657, 657, 657, 658, 658, + 659, 659, 660, 660, 660, 661, 661, 661, 662, 662, 662, 663, 663, 663, 664, 664, 664, 665, 665, 666, + 666, 666, 667, 667, 667, 668, 668, 669, 669, 669, 670, 670, 670, 671, 671, 671, 672, 672, 672, 673, + 673, 673, 674, 674, 675, 675, 675, 676, 676, 677, 677, 677, 678, 678, 678, 679, 679, 679, 680, 680, + 681, 681, 682, 682, 683, 683, 684, 684, 685, 685, 685, 686, 686, 686, 687, 687, 688, 688, 688, 689, + 689, 689, 690, 690, 691, 691, 692, 692, 692, 693, 693, 693, 694, 694, 694, 695, 695, 695, 696, 696 + ] + +private def ClayworthSurface_edge_src_data_chunk4 : Array (Fin 4032) := + #[ + 696, 697, 697, 698, 698, 699, 699, 700, 700, 700, 701, 701, 702, 702, 703, 703, 704, 704, 704, 705, + 705, 705, 706, 706, 706, 707, 707, 708, 708, 709, 709, 709, 710, 710, 710, 711, 711, 712, 712, 712, + 713, 713, 714, 714, 714, 715, 715, 715, 716, 716, 716, 717, 717, 717, 718, 718, 718, 719, 719, 719, + 720, 720, 720, 721, 721, 721, 722, 722, 723, 723, 724, 724, 724, 725, 725, 725, 726, 726, 726, 727, + 727, 727, 728, 728, 729, 729, 730, 730, 731, 731, 732, 732, 733, 733, 734, 734, 734, 735, 735, 735, + 736, 736, 736, 737, 737, 737, 738, 738, 739, 739, 739, 740, 740, 741, 741, 742, 742, 742, 743, 743, + 743, 744, 744, 745, 745, 746, 747, 748, 748, 749, 749, 749, 750, 750, 751, 751, 752, 752, 753, 753, + 754, 755, 755, 756, 756, 756, 757, 757, 757, 758, 758, 758, 759, 759, 759, 760, 760, 760, 761, 761, + 762, 762, 763, 763, 764, 764, 764, 765, 765, 766, 766, 767, 768, 768, 768, 769, 769, 769, 770, 770, + 770, 771, 771, 772, 772, 773, 773, 773, 774, 774, 774, 775, 775, 776, 776, 776, 777, 777, 778, 778, + 778, 779, 779, 779, 780, 780, 780, 781, 781, 781, 782, 782, 782, 783, 783, 783, 784, 784, 784, 785, + 785, 785, 786, 786, 787, 787, 788, 788, 788, 789, 789, 789, 790, 790, 790, 791, 791, 791, 792, 792, + 793, 793, 794, 794, 795, 795, 796, 796, 797, 797, 798, 798, 798, 799, 799, 799, 800, 800, 800, 801, + 801, 801, 802, 802, 803, 803, 803, 804, 804, 805, 805, 806, 806, 806, 807, 807, 807, 808, 808, 809, + 809, 810, 811, 812, 812, 813, 813, 813, 814, 814, 815, 815, 816, 816, 817, 817, 818, 819, 819, 820, + 820, 820, 821, 821, 821, 822, 822, 822, 823, 823, 823, 824, 824, 824, 825, 825, 826, 826, 827, 827, + 828, 828, 828, 829, 829, 830, 830, 831, 832, 832, 833, 833, 834, 834, 835, 835, 836, 836, 837, 837, + 837, 838, 838, 839, 839, 840, 840, 840, 841, 841, 842, 842, 842, 843, 843, 843, 844, 844, 844, 845, + 845, 845, 846, 846, 846, 847, 847, 847, 848, 848, 848, 849, 849, 849, 850, 850, 851, 851, 852, 852, + 852, 853, 853, 853, 854, 854, 855, 855, 856, 856, 856, 857, 857, 858, 858, 858, 859, 859, 859, 860, + 860, 861, 861, 861, 862, 862, 862, 863, 863, 863, 864, 864, 865, 865, 866, 866, 867, 867, 867, 868, + 868, 869, 869, 869, 870, 870, 870, 871, 871, 872, 872, 873, 873, 874, 874, 875, 875, 876, 876, 877, + 877, 878, 878, 878, 879, 879, 880, 880, 880, 881, 881, 881, 882, 882, 883, 883, 884, 884, 885, 885, + 885, 886, 886, 886, 887, 887, 887, 888, 888, 888, 889, 889, 890, 890, 891, 891, 892, 892, 893, 893, + 894, 894, 895, 895, 896, 896, 897, 897, 898, 898, 899, 899, 900, 900, 901, 901, 901, 902, 902, 903 + ] + +private def ClayworthSurface_edge_src_data_chunk5 : Array (Fin 4032) := + #[ + 903, 904, 904, 904, 905, 905, 906, 906, 906, 907, 907, 907, 908, 908, 908, 909, 909, 909, 910, 910, + 910, 911, 911, 911, 912, 912, 912, 913, 913, 913, 914, 914, 915, 915, 916, 916, 916, 917, 917, 917, + 918, 918, 919, 919, 920, 920, 920, 921, 921, 922, 922, 922, 923, 923, 923, 924, 924, 925, 925, 925, + 926, 926, 926, 927, 927, 927, 928, 928, 929, 929, 930, 930, 931, 931, 931, 932, 932, 933, 933, 933, + 934, 934, 934, 935, 935, 936, 936, 937, 937, 938, 938, 939, 939, 940, 940, 941, 941, 942, 942, 942, + 943, 943, 944, 944, 944, 945, 945, 945, 946, 946, 947, 947, 948, 948, 949, 949, 949, 950, 950, 950, + 951, 951, 951, 952, 952, 952, 953, 953, 954, 954, 955, 955, 956, 956, 957, 957, 958, 958, 959, 959, + 960, 960, 961, 961, 962, 962, 963, 963, 964, 964, 965, 965, 965, 966, 966, 967, 967, 968, 968, 968, + 969, 969, 970, 970, 970, 971, 971, 971, 972, 972, 972, 973, 973, 973, 974, 974, 974, 975, 975, 975, + 976, 976, 976, 977, 977, 977, 978, 978, 979, 979, 980, 980, 980, 981, 981, 981, 982, 982, 983, 983, + 984, 984, 985, 985, 986, 986, 987, 987, 988, 988, 989, 989, 990, 990, 990, 991, 991, 991, 992, 992, + 993, 993, 994, 994, 995, 995, 995, 996, 996, 997, 997, 998, 998, 998, 999, 999, 1000, 1000, 1001, 1001, + 1002, 1003, 1004, 1004, 1005, 1005, 1006, 1006, 1007, 1007, 1008, 1008, 1009, 1009, 1010, 1011, 1011, 1012, 1012, 1013, + 1013, 1013, 1014, 1014, 1014, 1015, 1015, 1015, 1016, 1016, 1016, 1017, 1017, 1018, 1018, 1019, 1019, 1020, 1020, 1021, + 1021, 1022, 1022, 1023, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1028, 1029, 1029, 1029, 1030, 1030, 1031, + 1031, 1032, 1032, 1032, 1033, 1033, 1034, 1034, 1034, 1035, 1035, 1035, 1036, 1036, 1036, 1037, 1037, 1037, 1038, 1038, + 1038, 1039, 1039, 1039, 1040, 1040, 1040, 1041, 1041, 1041, 1042, 1042, 1043, 1043, 1044, 1044, 1044, 1045, 1045, 1045, + 1046, 1046, 1047, 1047, 1048, 1048, 1049, 1049, 1050, 1050, 1051, 1051, 1052, 1052, 1053, 1053, 1054, 1054, 1054, 1055, + 1055, 1055, 1056, 1056, 1057, 1057, 1058, 1058, 1059, 1059, 1059, 1060, 1060, 1061, 1061, 1062, 1062, 1062, 1063, 1063, + 1064, 1064, 1065, 1065, 1066, 1067, 1068, 1068, 1069, 1069, 1070, 1070, 1071, 1071, 1072, 1072, 1073, 1073, 1074, 1075, + 1075, 1076, 1076, 1077, 1077, 1077, 1078, 1078, 1078, 1079, 1079, 1079, 1080, 1080, 1080, 1081, 1081, 1082, 1082, 1083, + 1083, 1084, 1084, 1085, 1085, 1086, 1086, 1087, 1088, 1089, 1089, 1090, 1090, 1091, 1091, 1092, 1093, 1093, 1093, 1094, + 1095, 1096, 1096, 1096, 1097, 1097, 1098, 1098, 1099, 1099, 1099, 1100, 1100, 1101, 1101, 1102, 1102, 1102, 1103, 1103, + 1104, 1104, 1104, 1105, 1105, 1106, 1106, 1107, 1107, 1108, 1108, 1109, 1109, 1109, 1110, 1110, 1111, 1111, 1112, 1112, + 1113, 1114, 1114, 1115, 1115, 1116, 1117, 1117, 1118, 1118, 1119, 1119, 1120, 1121, 1122, 1122, 1123, 1123, 1123, 1124 + ] + +private def ClayworthSurface_edge_src_data_chunk6 : Array (Fin 4032) := + #[ + 1124, 1125, 1125, 1126, 1126, 1127, 1127, 1128, 1129, 1129, 1130, 1131, 1132, 1133, 1133, 1134, 1134, 1135, 1135, 1136, + 1136, 1137, 1137, 1138, 1139, 1139, 1140, 1140, 1141, 1141, 1142, 1142, 1143, 1143, 1144, 1144, 1144, 1145, 1145, 1146, + 1146, 1147, 1147, 1148, 1148, 1149, 1150, 1151, 1152, 1152, 1152, 1153, 1153, 1154, 1154, 1155, 1155, 1156, 1156, 1157, + 1157, 1158, 1158, 1159, 1159, 1160, 1160, 1161, 1161, 1162, 1162, 1163, 1163, 1163, 1164, 1164, 1164, 1165, 1165, 1165, + 1166, 1166, 1167, 1167, 1168, 1168, 1168, 1169, 1169, 1169, 1171, 1171, 1172, 1172, 1172, 1173, 1174, 1174, 1174, 1175, + 1175, 1175, 1176, 1177, 1177, 1178, 1179, 1179, 1180, 1180, 1181, 1181, 1182, 1182, 1182, 1183, 1183, 1184, 1184, 1184, + 1185, 1185, 1185, 1186, 1186, 1187, 1187, 1188, 1188, 1189, 1189, 1190, 1190, 1190, 1191, 1191, 1191, 1192, 1192, 1193, + 1193, 1194, 1195, 1196, 1196, 1197, 1197, 1197, 1198, 1198, 1199, 1200, 1200, 1201, 1202, 1203, 1204, 1204, 1204, 1205, + 1205, 1206, 1206, 1207, 1207, 1207, 1208, 1208, 1208, 1209, 1210, 1210, 1211, 1211, 1212, 1212, 1213, 1213, 1214, 1214, + 1216, 1217, 1217, 1218, 1218, 1219, 1219, 1220, 1221, 1221, 1221, 1222, 1223, 1224, 1224, 1224, 1225, 1225, 1226, 1226, + 1227, 1227, 1227, 1228, 1228, 1229, 1229, 1230, 1230, 1230, 1231, 1231, 1232, 1232, 1232, 1233, 1233, 1234, 1234, 1235, + 1235, 1236, 1236, 1237, 1237, 1237, 1238, 1238, 1239, 1239, 1240, 1240, 1241, 1242, 1242, 1243, 1243, 1244, 1245, 1245, + 1246, 1246, 1247, 1247, 1248, 1249, 1250, 1250, 1251, 1251, 1251, 1252, 1252, 1253, 1253, 1254, 1254, 1255, 1255, 1256, + 1257, 1257, 1258, 1259, 1260, 1261, 1261, 1262, 1262, 1263, 1263, 1264, 1264, 1265, 1265, 1266, 1267, 1267, 1268, 1268, + 1269, 1269, 1270, 1270, 1271, 1271, 1272, 1272, 1272, 1273, 1273, 1274, 1274, 1275, 1275, 1276, 1276, 1277, 1278, 1279, + 1280, 1280, 1281, 1281, 1282, 1282, 1282, 1283, 1283, 1284, 1284, 1285, 1285, 1285, 1286, 1286, 1286, 1287, 1287, 1288, + 1288, 1289, 1289, 1290, 1290, 1290, 1291, 1291, 1291, 1292, 1292, 1292, 1293, 1293, 1294, 1294, 1294, 1295, 1295, 1295, + 1296, 1296, 1297, 1297, 1298, 1298, 1299, 1300, 1300, 1300, 1301, 1301, 1302, 1302, 1302, 1303, 1303, 1303, 1304, 1305, + 1305, 1306, 1306, 1308, 1308, 1309, 1309, 1310, 1310, 1310, 1311, 1311, 1311, 1312, 1312, 1312, 1313, 1313, 1313, 1314, + 1314, 1315, 1316, 1316, 1317, 1317, 1318, 1318, 1319, 1319, 1319, 1320, 1320, 1322, 1323, 1324, 1324, 1325, 1325, 1325, + 1326, 1327, 1327, 1328, 1329, 1330, 1331, 1331, 1332, 1332, 1332, 1333, 1333, 1333, 1334, 1334, 1334, 1335, 1335, 1336, + 1336, 1337, 1337, 1339, 1339, 1340, 1340, 1340, 1341, 1341, 1342, 1343, 1344, 1344, 1345, 1346, 1346, 1347, 1347, 1348, + 1348, 1349, 1349, 1349, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1353, 1354, 1354, 1355, 1355, 1355, 1356, 1356, 1356, + 1357, 1357, 1357, 1358, 1358, 1359, 1359, 1359, 1360, 1360, 1360, 1361, 1361, 1361, 1362, 1362, 1363, 1363, 1364, 1364, + 1364, 1365, 1365, 1365, 1366, 1366, 1367, 1367, 1368, 1368, 1369, 1369, 1370, 1370, 1371, 1371, 1372, 1372, 1373, 1373 + ] + +private def ClayworthSurface_edge_src_data_chunk7 : Array (Fin 4032) := + #[ + 1374, 1374, 1374, 1375, 1375, 1376, 1376, 1377, 1377, 1378, 1378, 1379, 1379, 1379, 1380, 1380, 1381, 1381, 1382, 1382, + 1382, 1383, 1383, 1384, 1384, 1385, 1385, 1386, 1387, 1388, 1388, 1389, 1389, 1390, 1390, 1391, 1391, 1392, 1392, 1393, + 1393, 1394, 1395, 1395, 1396, 1396, 1397, 1397, 1397, 1398, 1398, 1398, 1399, 1399, 1399, 1400, 1400, 1400, 1401, 1401, + 1402, 1402, 1403, 1403, 1404, 1405, 1405, 1406, 1406, 1407, 1408, 1408, 1409, 1409, 1410, 1410, 1411, 1411, 1412, 1413, + 1413, 1413, 1414, 1414, 1415, 1416, 1416, 1417, 1417, 1418, 1418, 1419, 1419, 1419, 1420, 1420, 1421, 1421, 1421, 1422, + 1422, 1423, 1423, 1423, 1424, 1424, 1424, 1425, 1425, 1425, 1426, 1426, 1427, 1427, 1428, 1428, 1428, 1429, 1429, 1429, + 1430, 1431, 1431, 1432, 1432, 1432, 1433, 1433, 1434, 1434, 1434, 1435, 1435, 1435, 1436, 1436, 1437, 1437, 1437, 1438, + 1439, 1439, 1440, 1440, 1441, 1441, 1442, 1442, 1443, 1443, 1443, 1444, 1444, 1445, 1445, 1445, 1446, 1446, 1447, 1447, + 1448, 1448, 1449, 1449, 1450, 1450, 1451, 1451, 1452, 1453, 1454, 1454, 1454, 1455, 1455, 1456, 1456, 1456, 1457, 1457, + 1457, 1458, 1458, 1459, 1459, 1460, 1460, 1461, 1461, 1462, 1462, 1463, 1464, 1464, 1464, 1465, 1465, 1466, 1466, 1467, + 1467, 1468, 1468, 1469, 1470, 1470, 1471, 1471, 1472, 1475, 1475, 1476, 1476, 1478, 1479, 1479, 1480, 1481, 1481, 1482, + 1482, 1483, 1484, 1484, 1485, 1485, 1486, 1486, 1487, 1487, 1488, 1488, 1488, 1489, 1489, 1489, 1490, 1490, 1491, 1491, + 1492, 1492, 1492, 1493, 1493, 1493, 1494, 1494, 1495, 1496, 1496, 1496, 1497, 1497, 1498, 1498, 1498, 1499, 1499, 1499, + 1500, 1500, 1501, 1501, 1501, 1502, 1502, 1503, 1504, 1504, 1505, 1505, 1506, 1506, 1507, 1507, 1507, 1508, 1508, 1509, + 1509, 1509, 1510, 1510, 1511, 1511, 1512, 1512, 1513, 1513, 1514, 1514, 1515, 1515, 1516, 1516, 1517, 1518, 1518, 1518, + 1519, 1519, 1520, 1520, 1520, 1521, 1521, 1521, 1522, 1522, 1523, 1523, 1524, 1524, 1525, 1525, 1526, 1527, 1527, 1528, + 1528, 1528, 1529, 1529, 1530, 1530, 1531, 1531, 1533, 1533, 1534, 1534, 1535, 1535, 1536, 1536, 1537, 1537, 1538, 1538, + 1539, 1539, 1540, 1540, 1541, 1541, 1541, 1542, 1542, 1543, 1543, 1544, 1544, 1544, 1545, 1545, 1546, 1546, 1546, 1547, + 1547, 1547, 1548, 1548, 1548, 1549, 1549, 1549, 1550, 1550, 1550, 1551, 1551, 1551, 1552, 1552, 1553, 1553, 1554, 1555, + 1556, 1556, 1557, 1558, 1558, 1559, 1559, 1560, 1560, 1561, 1561, 1562, 1562, 1563, 1564, 1564, 1565, 1565, 1565, 1566, + 1566, 1566, 1567, 1567, 1567, 1568, 1568, 1569, 1569, 1570, 1570, 1572, 1572, 1573, 1573, 1574, 1574, 1574, 1575, 1575, + 1576, 1578, 1578, 1579, 1579, 1580, 1580, 1581, 1581, 1582, 1583, 1583, 1584, 1584, 1585, 1586, 1586, 1587, 1588, 1588, + 1589, 1589, 1589, 1590, 1590, 1590, 1591, 1591, 1591, 1592, 1593, 1593, 1595, 1596, 1596, 1597, 1597, 1598, 1599, 1599, + 1600, 1601, 1602, 1602, 1603, 1603, 1604, 1605, 1605, 1605, 1606, 1607, 1608, 1608, 1609, 1609, 1610, 1611, 1611, 1611, + 1612, 1612, 1613, 1613, 1614, 1614, 1615, 1615, 1616, 1616, 1617, 1617, 1618, 1618, 1619, 1619, 1620, 1620, 1621, 1621 + ] + +private def ClayworthSurface_edge_src_data_chunk8 : Array (Fin 4032) := + #[ + 1621, 1622, 1622, 1623, 1623, 1624, 1624, 1625, 1626, 1627, 1627, 1628, 1629, 1630, 1630, 1631, 1632, 1633, 1634, 1634, + 1635, 1635, 1635, 1636, 1636, 1637, 1637, 1638, 1638, 1639, 1639, 1640, 1641, 1641, 1642, 1643, 1644, 1645, 1645, 1646, + 1646, 1647, 1647, 1648, 1648, 1649, 1649, 1650, 1651, 1652, 1652, 1653, 1653, 1654, 1654, 1655, 1655, 1656, 1656, 1657, + 1657, 1658, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1664, 1665, 1666, 1667, 1667, 1668, 1668, 1669, 1669, 1670, 1671, + 1671, 1672, 1672, 1673, 1673, 1674, 1674, 1675, 1675, 1675, 1676, 1676, 1676, 1677, 1677, 1677, 1678, 1678, 1679, 1679, + 1680, 1680, 1681, 1681, 1681, 1683, 1683, 1684, 1684, 1685, 1686, 1686, 1687, 1687, 1688, 1689, 1689, 1691, 1691, 1692, + 1692, 1693, 1694, 1694, 1694, 1695, 1695, 1696, 1696, 1697, 1697, 1698, 1698, 1699, 1699, 1700, 1700, 1701, 1702, 1702, + 1702, 1703, 1703, 1704, 1705, 1705, 1706, 1707, 1708, 1708, 1709, 1709, 1710, 1711, 1712, 1712, 1713, 1714, 1716, 1716, + 1717, 1717, 1718, 1718, 1719, 1719, 1719, 1720, 1721, 1722, 1722, 1724, 1725, 1725, 1726, 1726, 1728, 1729, 1729, 1730, + 1730, 1731, 1731, 1732, 1733, 1733, 1733, 1734, 1735, 1736, 1736, 1736, 1737, 1737, 1738, 1738, 1739, 1739, 1739, 1740, + 1740, 1741, 1741, 1742, 1742, 1742, 1743, 1743, 1744, 1744, 1744, 1745, 1745, 1746, 1747, 1747, 1748, 1749, 1749, 1750, + 1750, 1751, 1751, 1752, 1753, 1754, 1754, 1755, 1755, 1756, 1757, 1757, 1758, 1758, 1759, 1759, 1760, 1761, 1762, 1762, + 1763, 1763, 1763, 1764, 1764, 1765, 1766, 1766, 1767, 1767, 1769, 1769, 1770, 1771, 1772, 1773, 1773, 1774, 1775, 1776, + 1776, 1777, 1777, 1778, 1779, 1779, 1780, 1780, 1781, 1781, 1782, 1782, 1783, 1783, 1784, 1784, 1785, 1786, 1786, 1787, + 1788, 1788, 1789, 1790, 1792, 1792, 1793, 1794, 1795, 1795, 1796, 1796, 1797, 1797, 1798, 1799, 1799, 1800, 1800, 1801, + 1801, 1802, 1802, 1803, 1803, 1803, 1804, 1804, 1804, 1805, 1805, 1805, 1806, 1806, 1807, 1807, 1808, 1808, 1809, 1809, + 1809, 1811, 1811, 1812, 1812, 1813, 1814, 1814, 1815, 1815, 1816, 1817, 1817, 1819, 1819, 1820, 1820, 1821, 1822, 1822, + 1822, 1823, 1823, 1824, 1824, 1825, 1825, 1826, 1826, 1827, 1827, 1828, 1828, 1829, 1830, 1830, 1830, 1831, 1831, 1832, + 1833, 1833, 1834, 1835, 1836, 1836, 1837, 1837, 1838, 1839, 1840, 1840, 1841, 1842, 1844, 1844, 1845, 1845, 1846, 1846, + 1847, 1847, 1847, 1848, 1849, 1850, 1850, 1852, 1853, 1853, 1854, 1854, 1856, 1857, 1858, 1858, 1859, 1859, 1860, 1861, + 1861, 1861, 1862, 1863, 1864, 1864, 1865, 1865, 1866, 1867, 1867, 1867, 1868, 1868, 1869, 1869, 1870, 1870, 1871, 1871, + 1872, 1872, 1873, 1873, 1874, 1874, 1875, 1875, 1876, 1876, 1877, 1877, 1877, 1878, 1878, 1879, 1879, 1880, 1880, 1881, + 1882, 1883, 1883, 1884, 1885, 1886, 1886, 1887, 1888, 1889, 1890, 1890, 1891, 1891, 1891, 1892, 1892, 1893, 1893, 1894, + 1894, 1895, 1895, 1896, 1897, 1897, 1898, 1899, 1900, 1901, 1901, 1902, 1902, 1903, 1903, 1904, 1904, 1905, 1905, 1906, + 1907, 1908, 1908, 1909, 1909, 1910, 1910, 1911, 1911, 1912, 1912, 1913, 1913, 1914, 1914, 1915, 1916, 1917, 1918, 1919 + ] + +private def ClayworthSurface_edge_src_data_chunk9 : Array (Fin 4032) := + #[ + 1920, 1921, 1922, 1923, 1923, 1924, 1925, 1925, 1927, 1928, 1928, 1929, 1929, 1930, 1931, 1931, 1931, 1932, 1932, 1933, + 1933, 1934, 1934, 1935, 1936, 1936, 1937, 1937, 1939, 1939, 1940, 1941, 1942, 1942, 1943, 1943, 1944, 1945, 1947, 1947, + 1948, 1949, 1950, 1950, 1951, 1952, 1953, 1954, 1954, 1955, 1955, 1956, 1956, 1957, 1958, 1958, 1959, 1959, 1961, 1961, + 1962, 1963, 1964, 1965, 1965, 1966, 1967, 1968, 1968, 1969, 1970, 1972, 1972, 1973, 1974, 1975, 1975, 1976, 1977, 1978, + 1978, 1980, 1981, 1982, 1984, 1984, 1985, 1985, 1986, 1986, 1987, 1987, 1988, 1989, 1989, 1990, 1991, 1992, 1992, 1993, + 1993, 1994, 1995, 1995, 1995, 1996, 1996, 1997, 1997, 1998, 1998, 1999, 2000, 2000, 2001, 2001, 2003, 2003, 2004, 2005, + 2006, 2006, 2006, 2007, 2007, 2007, 2008, 2009, 2011, 2011, 2012, 2013, 2014, 2014, 2015, 2016, 2016, 2017, 2017, 2018, + 2018, 2019, 2019, 2020, 2020, 2021, 2022, 2022, 2023, 2023, 2023, 2025, 2025, 2026, 2027, 2028, 2029, 2029, 2029, 2030, + 2031, 2032, 2032, 2033, 2034, 2036, 2036, 2036, 2037, 2038, 2039, 2039, 2040, 2041, 2042, 2042, 2044, 2044, 2045, 2046, + 2048, 2048, 2049, 2050, 2050, 2051, 2051, 2052, 2052, 2053, 2053, 2054, 2054, 2055, 2055, 2056, 2057, 2057, 2058, 2058, + 2059, 2059, 2059, 2060, 2060, 2060, 2061, 2061, 2062, 2062, 2063, 2063, 2065, 2068, 2069, 2070, 2070, 2070, 2071, 2071, + 2071, 2072, 2073, 2073, 2075, 2076, 2076, 2078, 2078, 2078, 2079, 2079, 2080, 2080, 2080, 2081, 2081, 2081, 2082, 2083, + 2084, 2086, 2086, 2087, 2087, 2087, 2088, 2089, 2092, 2092, 2093, 2093, 2093, 2095, 2100, 2100, 2100, 2101, 2101, 2102, + 2102, 2103, 2103, 2105, 2106, 2108, 2108, 2109, 2109, 2110, 2113, 2114, 2114, 2115, 2117, 2117, 2117, 2118, 2119, 2120, + 2120, 2121, 2121, 2122, 2123, 2123, 2123, 2124, 2124, 2125, 2126, 2126, 2127, 2127, 2128, 2128, 2129, 2130, 2131, 2132, + 2133, 2133, 2134, 2135, 2135, 2136, 2137, 2138, 2138, 2139, 2139, 2140, 2141, 2142, 2142, 2143, 2143, 2144, 2145, 2146, + 2147, 2147, 2148, 2149, 2150, 2151, 2153, 2153, 2155, 2156, 2157, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2163, 2164, + 2164, 2165, 2165, 2166, 2166, 2167, 2168, 2168, 2169, 2170, 2171, 2172, 2172, 2173, 2177, 2178, 2179, 2179, 2180, 2181, + 2181, 2182, 2183, 2184, 2184, 2185, 2185, 2186, 2186, 2187, 2187, 2188, 2189, 2190, 2190, 2190, 2191, 2191, 2192, 2194, + 2196, 2197, 2198, 2198, 2199, 2199, 2201, 2202, 2202, 2204, 2205, 2206, 2207, 2207, 2208, 2209, 2210, 2211, 2212, 2213, + 2214, 2215, 2215, 2216, 2220, 2221, 2222, 2223, 2225, 2227, 2227, 2228, 2228, 2229, 2229, 2230, 2230, 2231, 2232, 2232, + 2233, 2235, 2235, 2236, 2236, 2237, 2240, 2241, 2241, 2242, 2242, 2243, 2243, 2244, 2245, 2245, 2246, 2246, 2247, 2248, + 2248, 2249, 2249, 2250, 2250, 2251, 2251, 2252, 2253, 2254, 2254, 2254, 2255, 2255, 2256, 2258, 2258, 2260, 2261, 2261, + 2262, 2262, 2262, 2263, 2263, 2263, 2264, 2265, 2266, 2266, 2268, 2269, 2270, 2271, 2271, 2272, 2272, 2273, 2273, 2274, + 2275, 2276, 2277, 2278, 2279, 2279, 2279, 2280, 2284, 2285, 2285, 2286, 2287, 2287, 2289, 2291, 2291, 2292, 2292, 2292 + ] + +private def ClayworthSurface_edge_src_data_chunk10 : Array (Fin 4032) := + #[ + 2293, 2293, 2294, 2294, 2295, 2296, 2296, 2297, 2297, 2299, 2299, 2300, 2300, 2300, 2301, 2303, 2304, 2304, 2305, 2306, + 2307, 2307, 2308, 2308, 2309, 2310, 2310, 2311, 2311, 2312, 2313, 2313, 2314, 2314, 2315, 2315, 2316, 2316, 2317, 2317, + 2318, 2318, 2319, 2319, 2321, 2324, 2324, 2326, 2326, 2326, 2327, 2327, 2327, 2329, 2329, 2332, 2332, 2334, 2334, 2335, + 2335, 2336, 2336, 2336, 2337, 2337, 2337, 2338, 2340, 2341, 2342, 2342, 2343, 2343, 2343, 2344, 2344, 2348, 2348, 2349, + 2349, 2350, 2351, 2356, 2356, 2356, 2357, 2357, 2358, 2358, 2359, 2359, 2360, 2361, 2363, 2364, 2364, 2365, 2365, 2366, + 2371, 2371, 2372, 2375, 2377, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2384, 2384, 2385, 2385, 2385, 2386, 2387, + 2387, 2388, 2388, 2388, 2389, 2389, 2390, 2391, 2392, 2392, 2393, 2393, 2394, 2395, 2395, 2396, 2396, 2397, 2397, 2400, + 2401, 2402, 2402, 2403, 2403, 2404, 2404, 2405, 2405, 2406, 2407, 2407, 2408, 2408, 2409, 2409, 2410, 2411, 2412, 2414, + 2414, 2415, 2415, 2416, 2416, 2417, 2418, 2419, 2420, 2420, 2421, 2424, 2424, 2424, 2425, 2425, 2426, 2426, 2427, 2427, + 2429, 2430, 2430, 2431, 2435, 2435, 2436, 2439, 2441, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2448, 2448, 2449, + 2449, 2449, 2450, 2450, 2451, 2451, 2452, 2452, 2452, 2453, 2453, 2454, 2455, 2456, 2457, 2457, 2458, 2458, 2459, 2460, + 2460, 2461, 2461, 2464, 2465, 2466, 2466, 2467, 2467, 2468, 2468, 2469, 2469, 2470, 2471, 2471, 2472, 2472, 2473, 2474, + 2475, 2476, 2478, 2478, 2479, 2479, 2480, 2480, 2481, 2481, 2482, 2483, 2483, 2484, 2484, 2485, 2488, 2488, 2488, 2489, + 2489, 2490, 2491, 2491, 2493, 2494, 2494, 2495, 2499, 2499, 2500, 2500, 2503, 2503, 2505, 2505, 2506, 2506, 2507, 2508, + 2508, 2509, 2510, 2511, 2512, 2513, 2513, 2514, 2515, 2516, 2516, 2517, 2518, 2519, 2520, 2520, 2521, 2521, 2522, 2523, + 2524, 2524, 2525, 2525, 2526, 2527, 2528, 2529, 2530, 2530, 2532, 2532, 2533, 2533, 2534, 2534, 2535, 2535, 2536, 2538, + 2538, 2539, 2539, 2540, 2540, 2542, 2543, 2543, 2544, 2544, 2545, 2546, 2546, 2548, 2548, 2549, 2549, 2550, 2551, 2553, + 2553, 2557, 2557, 2558, 2559, 2559, 2560, 2563, 2563, 2564, 2564, 2566, 2567, 2567, 2569, 2569, 2570, 2570, 2571, 2572, + 2572, 2573, 2573, 2574, 2575, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2584, 2585, 2586, 2587, 2588, + 2589, 2589, 2590, 2591, 2592, 2592, 2593, 2593, 2594, 2594, 2596, 2596, 2597, 2597, 2598, 2598, 2599, 2599, 2602, 2602, + 2603, 2603, 2604, 2604, 2606, 2607, 2607, 2608, 2608, 2609, 2610, 2610, 2612, 2612, 2613, 2613, 2614, 2615, 2617, 2617, + 2621, 2621, 2623, 2623, 2624, 2627, 2627, 2628, 2628, 2629, 2630, 2631, 2631, 2632, 2633, 2633, 2634, 2634, 2635, 2635, + 2636, 2636, 2637, 2637, 2638, 2638, 2639, 2639, 2641, 2644, 2646, 2646, 2647, 2647, 2649, 2649, 2652, 2652, 2654, 2654, + 2655, 2655, 2656, 2656, 2657, 2657, 2658, 2660, 2662, 2662, 2663, 2663, 2664, 2668, 2668, 2669, 2671, 2676, 2676, 2677, + 2677, 2678, 2678, 2679, 2679, 2681, 2684, 2685, 2685, 2686, 2688, 2691, 2691, 2692, 2692, 2693, 2694, 2695, 2695, 2696 + ] + +private def ClayworthSurface_edge_src_data_chunk11 : Array (Fin 4032) := + #[ + 2697, 2697, 2698, 2698, 2699, 2699, 2700, 2700, 2701, 2701, 2702, 2702, 2703, 2703, 2705, 2708, 2710, 2710, 2711, 2711, + 2713, 2713, 2716, 2716, 2718, 2718, 2719, 2719, 2720, 2720, 2721, 2721, 2722, 2724, 2726, 2726, 2727, 2727, 2728, 2732, + 2732, 2733, 2735, 2740, 2740, 2741, 2741, 2742, 2742, 2743, 2743, 2745, 2748, 2749, 2749, 2750, 2755, 2755, 2756, 2757, + 2759, 2760, 2761, 2761, 2762, 2763, 2763, 2764, 2765, 2766, 2766, 2767, 2774, 2774, 2775, 2775, 2777, 2780, 2782, 2783, + 2784, 2785, 2786, 2788, 2790, 2791, 2791, 2796, 2797, 2799, 2804, 2804, 2805, 2806, 2807, 2809, 2812, 2813, 2816, 2817, + 2818, 2819, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2825, 2826, 2827, 2827, 2828, 2829, 2830, 2830, 2831, 2838, 2838, + 2838, 2839, 2839, 2839, 2841, 2844, 2846, 2847, 2848, 2848, 2849, 2849, 2850, 2852, 2854, 2855, 2855, 2855, 2860, 2861, + 2861, 2863, 2868, 2868, 2868, 2869, 2870, 2871, 2873, 2876, 2876, 2877, 2880, 2881, 2883, 2883, 2884, 2885, 2888, 2888, + 2889, 2890, 2891, 2893, 2893, 2894, 2894, 2895, 2896, 2897, 2899, 2902, 2902, 2903, 2909, 2910, 2911, 2912, 2913, 2914, + 2915, 2916, 2918, 2918, 2919, 2919, 2922, 2924, 2925, 2928, 2929, 2932, 2933, 2934, 2935, 2935, 2938, 2940, 2941, 2942, + 2947, 2947, 2948, 2949, 2951, 2952, 2953, 2953, 2954, 2955, 2955, 2956, 2957, 2958, 2958, 2959, 2966, 2966, 2967, 2967, + 2969, 2972, 2974, 2975, 2976, 2977, 2978, 2980, 2982, 2983, 2983, 2988, 2989, 2991, 2996, 2996, 2997, 2998, 2999, 3001, + 3004, 3005, 3009, 3011, 3013, 3016, 3016, 3017, 3018, 3019, 3021, 3022, 3022, 3023, 3024, 3025, 3026, 3028, 3029, 3030, + 3031, 3033, 3034, 3034, 3036, 3037, 3038, 3039, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3051, 3052, 3053, + 3055, 3056, 3057, 3058, 3059, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3067, 3068, 3068, 3069, 3075, 3077, 3080, 3081, + 3083, 3085, 3086, 3087, 3088, 3090, 3093, 3094, 3095, 3098, 3098, 3101, 3102, 3103, 3104, 3105, 3107, 3110, 3111, 3116, + 3117, 3121, 3123, 3123, 3124, 3125, 3126, 3127, 3128, 3131, 3132, 3133, 3136, 3137, 3138, 3139, 3141, 3142, 3143, 3144, + 3145, 3145, 3147, 3147, 3148, 3149, 3150, 3151, 3158, 3158, 3159, 3159, 3159, 3166, 3167, 3168, 3168, 3169, 3169, 3174, + 3175, 3175, 3180, 3181, 3181, 3188, 3188, 3188, 3189, 3190, 3191, 3196, 3196, 3197, 3203, 3203, 3204, 3207, 3209, 3209, + 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3218, 3219, 3221, 3222, 3223, 3224, 3225, 3228, 3229, 3232, 3233, 3234, 3234, + 3236, 3236, 3238, 3239, 3239, 3242, 3244, 3247, 3247, 3252, 3252, 3253, 3257, 3257, 3261, 3263, 3267, 3271, 3273, 3273, + 3275, 3276, 3280, 3281, 3282, 3283, 3284, 3285, 3287, 3288, 3289, 3292, 3293, 3296, 3297, 3298, 3298, 3300, 3300, 3301, + 3303, 3306, 3307, 3311, 3311, 3312, 3314, 3316, 3316, 3321, 3321, 3327, 3331, 3333, 3336, 3337, 3339, 3341, 3342, 3343, + 3350, 3351, 3358, 3359, 3360, 3361, 3366, 3367, 3372, 3373, 3380, 3381, 3382, 3383, 3388, 3389, 3397, 3400, 3403, 3405, + 3406, 3407, 3414, 3415, 3422, 3423, 3430, 3436, 3437, 3445, 3446, 3447, 3452, 3453, 3461, 3464, 3467, 3469, 3470, 3471 + ] + +private def ClayworthSurface_edge_src_data_chunk12 : Array (Fin 4032) := + #[ + 3478, 3479, 3486, 3487, 3494, 3500, 3501, 3509, 3510, 3511, 3516, 3517, 3523, 3528, 3529, 3533, 3534, 3535, 3542, 3550, + 3552, 3553, 3558, 3559, 3564, 3565, 3572, 3573, 3575, 3581, 3597, 3599, 3622, 3628, 3637, 3645, 3661, 3663, 3686, 3692, + 3701, 3709, 3725, 3727, 3750, 3756, 3765, 3773 + ] + +private def ClayworthSurface_edge_src_data : Array (Fin 4032) := + ClayworthSurface_edge_src_data_chunk0 ++ ClayworthSurface_edge_src_data_chunk1 ++ ClayworthSurface_edge_src_data_chunk2 ++ ClayworthSurface_edge_src_data_chunk3 ++ ClayworthSurface_edge_src_data_chunk4 ++ ClayworthSurface_edge_src_data_chunk5 ++ ClayworthSurface_edge_src_data_chunk6 ++ ClayworthSurface_edge_src_data_chunk7 ++ ClayworthSurface_edge_src_data_chunk8 ++ ClayworthSurface_edge_src_data_chunk9 ++ ClayworthSurface_edge_src_data_chunk10 ++ ClayworthSurface_edge_src_data_chunk11 ++ ClayworthSurface_edge_src_data_chunk12 + +private def ClayworthSurface_edge_tgt_data_chunk0 : Array (Fin 4032) := + #[ + 2280, 2372, 2835, 2268, 2857, 2905, 2009, 2793, 3369, 1533, 3112, 3183, 1479, 2216, 3154, 2499, 2810, 3347, 2046, 2375, + 2771, 1476, 1982, 2963, 2874, 2916, 3209, 1516, 2980, 3131, 2204, 2921, 3187, 2505, 3002, 3364, 1945, 2985, 3353, 2412, + 2852, 3514, 2899, 3195, 3203, 2429, 2788, 3518, 2617, 2746, 3411, 2351, 2476, 3774, 1298, 2110, 3268, 1171, 2623, 2750, + 2493, 2660, 3770, 2106, 3267, 3684, 2003, 3176, 3204, 2258, 2503, 3006, 1817, 2089, 3673, 1210, 2435, 3631, 1700, 3325, + 3450, 1828, 2603, 3710, 1339, 2441, 3602, 1689, 2729, 3433, 1956, 3261, 3390, 2223, 2540, 2938, 2042, 2377, 3119, 2299, + 2371, 3090, 1579, 2724, 3624, 2363, 3273, 3667, 1193, 2713, 3612, 1833, 2649, 3753, 1961, 2841, 3497, 2025, 3100, 3164, + 1320, 2439, 2643, 1188, 2610, 3706, 1578, 1726, 2707, 1570, 1722, 3748, 1481, 2235, 3492, 2020, 3244, 3386, 1811, 2602, + 2686, 1331, 2073, 3635, 1705, 2332, 3737, 1683, 2344, 3271, 1593, 1850, 3731, 1327, 3308, 3454, 2291, 2969, 3123, 2227, + 2777, 3481, 2194, 2500, 2814, 1939, 2878, 3207, 2594, 2682, 3428, 1586, 2084, 3643, 1177, 2355, 3689, 1308, 2665, 3417, + 2287, 2557, 2942, 1475, 1978, 3475, 1214, 2322, 2436, 1599, 1854, 2067, 1348, 1662, 3155, 1625, 2923, 3177, 1753, 2803, + 3371, 893, 2863, 3560, 839, 1256, 2834, 2563, 2811, 3376, 1351, 1790, 2770, 836, 1150, 2962, 2928, 3194, 3298, 876, + 2991, 3579, 1244, 2867, 2906, 2569, 3003, 3377, 1113, 2995, 3354, 1388, 3172, 3834, 2875, 2929, 3321, 1405, 2799, 3838, + 2553, 2747, 3440, 1452, 2095, 3899, 786, 2366, 3263, 723, 2559, 2728, 1469, 2671, 3880, 2362, 3257, 3696, 1747, 2856, + 3327, 1619, 2567, 2984, 1049, 2345, 3691, 762, 1411, 3951, 996, 3243, 3434, 1060, 2539, 3690, 827, 1417, 3922, 985, + 2739, 3435, 1124, 3307, 3357, 1263, 2604, 2909, 1353, 1786, 3567, 1347, 1658, 3538, 939, 2735, 3944, 2107, 3234, 3697, + 745, 2716, 3932, 1065, 2652, 3868, 1129, 3161, 3817, 1769, 2844, 3548, 808, 1415, 2642, 740, 2546, 3677, 938, 1022, + 2706, 930, 1018, 3858, 841, 1275, 3812, 1764, 3314, 3370, 1043, 2538, 2664, 819, 2329, 3955, 1001, 2076, 3891, 979, + 2088, 3242, 953, 1082, 3887, 815, 3250, 3421, 1641, 2972, 3571, 1267, 2780, 3801, 1234, 2564, 2792, 1107, 3198, 3306, + 2530, 2683, 3441, 946, 2340, 3963, 729, 2099, 3674, 796, 2675, 3418, 1636, 2621, 2922, 835, 1146, 3795, 766, 1412, + 2066, 959, 1086, 2323, 1471, 1768, 2259, 1756, 2281, 3122, 1628, 1971, 3499, 957, 2031, 3583, 903, 1278, 2002, 1539, + 1979, 3504, 1450, 1640, 1938, 900, 1128, 2195, 2298, 2466, 3109, 940, 2212, 3544, 1241, 2035, 3099, 1545, 2234, 3505, + 1116, 2217, 3482, 1458, 2276, 3818, 2043, 2489, 3118, 1451, 1967, 3805, 1529, 1851, 3760, 1199, 1394, 3903, 722, 1342, + 2431, 787, 1535, 1832, 1387, 1711, 3864, 1338, 2425, 3621, 1618, 2024, 2495, 1543, 1746, 2238, 1052, 1321, 3634, 826, + 1401, 3941, 1007, 2411, 3754, 1071, 1515, 3647, 763, 1378, 3950, 988, 1843, 3755, 1135, 2475, 3485, 1252, 1580, 3096, + 1442, 1659, 3557, 1465, 1787, 3566, 875, 1839, 3967, 1211, 2402, 3630, 809, 1820, 3954, 1075, 1692, 3867, 1139, 2265 + ] + +private def ClayworthSurface_edge_tgt_data_chunk1 : Array (Fin 4032) := + #[ + 3819, 1651, 2012, 3570, 744, 1386, 1682, 804, 1522, 3608, 874, 1000, 1810, 866, 1019, 3877, 905, 1274, 3825, 1647, + 2482, 3498, 1042, 1514, 1704, 755, 1305, 3931, 1011, 1180, 3890, 978, 1192, 2410, 889, 1083, 3886, 751, 2418, 3741, + 1779, 2201, 3547, 1257, 1948, 3802, 1235, 1540, 1960, 1106, 2302, 2474, 1506, 1723, 3761, 882, 1316, 3928, 793, 1203, + 3611, 732, 1715, 3738, 1597, 1775, 3135, 899, 1147, 3824, 830, 1170, 1407, 895, 1064, 1299, 964, 1663, 3184, 1650, + 2027, 3179, 1771, 2283, 2859, 637, 3048, 3375, 583, 2152, 3346, 1668, 2282, 2864, 967, 1770, 2288, 580, 1918, 3474, + 2032, 2628, 3178, 620, 3067, 3503, 2010, 2140, 3379, 1708, 2865, 3515, 1881, 2842, 3507, 1004, 3185, 3835, 2033, 2668, + 3387, 1021, 2289, 3816, 2393, 2731, 3439, 1074, 2465, 3888, 530, 1834, 3262, 467, 2430, 2730, 1067, 3297, 3889, 1835, + 3225, 3759, 1777, 2685, 3368, 1646, 1725, 3496, 1441, 1842, 3730, 506, 1081, 4015, 1380, 3241, 3413, 1460, 2409, 3733, + 571, 1058, 3986, 1369, 2738, 3410, 1892, 2633, 2845, 1673, 2013, 2159, 969, 1757, 3055, 963, 1624, 3026, 683, 2745, + 4008, 2492, 3236, 3769, 489, 2722, 3996, 1468, 3316, 3875, 1897, 3162, 3827, 1754, 3036, 3356, 552, 1066, 3264, 484, + 2426, 3736, 682, 1406, 2751, 674, 1402, 3902, 585, 2171, 3823, 1776, 2631, 2858, 1431, 2387, 3287, 563, 1826, 4019, + 1385, 2484, 3857, 1363, 2455, 3219, 697, 1409, 3898, 559, 3258, 3416, 1627, 3059, 3484, 2163, 2266, 3804, 1667, 2130, + 2269, 1875, 2627, 3165, 2404, 3324, 3449, 690, 1849, 4027, 473, 2433, 3775, 540, 3265, 3455, 1637, 1671, 2026, 579, + 1914, 3794, 510, 1087, 2432, 703, 1408, 1855, 1028, 1791, 2789, 1778, 2226, 2802, 1643, 1970, 2987, 701, 2927, 3071, + 647, 2174, 2898, 1156, 1983, 2992, 1031, 1642, 1957, 644, 1896, 3091, 2052, 2213, 2815, 684, 3032, 3108, 2137, 2203, + 2931, 1196, 2993, 3130, 1884, 2970, 3113, 1068, 2798, 3839, 2092, 2222, 2939, 1085, 1966, 3800, 1497, 2354, 3695, 1010, + 1564, 3859, 466, 1343, 2558, 531, 1534, 2367, 1003, 2588, 3876, 1330, 2521, 3620, 1649, 2109, 2920, 1213, 1774, 3134, + 1323, 1440, 3603, 570, 1017, 4005, 1391, 2537, 3669, 1447, 1513, 3600, 507, 994, 4014, 1372, 2347, 3666, 1903, 2057, + 2973, 1161, 2148, 2200, 1033, 1629, 3045, 1027, 1752, 3054, 619, 2338, 4031, 1587, 2532, 3618, 553, 2361, 4018, 1453, + 2607, 3874, 1907, 2779, 3826, 1626, 2908, 3058, 488, 1002, 2600, 548, 1530, 3613, 618, 1384, 2346, 610, 1403, 3869, + 649, 2170, 3822, 1648, 2055, 2986, 1430, 1491, 2578, 499, 1337, 3995, 1395, 1583, 3856, 1362, 1554, 2515, 633, 1410, + 3882, 495, 2554, 3672, 1755, 3035, 3097, 1947, 2153, 3803, 1155, 1944, 2131, 1874, 2051, 2776, 1508, 2611, 3705, 626, + 1314, 3992, 537, 1595, 3626, 476, 2619, 3711, 1159, 1765, 2239, 643, 1915, 3813, 574, 1023, 1576, 639, 1322, 1414, + 708, 1151, 2981, 1138, 2290, 2994, 1266, 2034, 2795, 509, 2926, 3070, 455, 2175, 2917, 1796, 2047, 2800, 711, 1279, + 2021, 452, 1919, 3493, 2277, 2311, 3007, 492, 3066, 3502, 2162, 2267, 2930, 1836, 2801, 3519, 1906, 2778, 3506, 748 + ] + +private def ClayworthSurface_edge_tgt_data_chunk2 : Array (Fin 4032) := + #[ + 2990, 3578, 2286, 2365, 2943, 765, 2030, 3582, 2091, 2396, 3694, 811, 2464, 3923, 658, 1706, 2536, 595, 2090, 2408, + 818, 2585, 3940, 1707, 2524, 3758, 1262, 2348, 2904, 1134, 1853, 3480, 924, 1714, 3749, 634, 802, 3997, 868, 2547, + 3668, 943, 2419, 3732, 699, 825, 4010, 857, 2098, 3685, 1893, 2307, 2781, 1801, 2149, 2264, 713, 1240, 3044, 707, + 1112, 3027, 555, 2105, 3987, 2477, 2543, 3768, 617, 2082, 3984, 947, 2596, 3938, 1883, 2971, 3561, 1243, 2907, 3033, + 680, 831, 2622, 612, 2427, 3752, 554, 894, 2111, 546, 890, 3933, 457, 2136, 3556, 1253, 2308, 2794, 914, 2386, + 2579, 691, 1698, 4002, 873, 2471, 3920, 851, 2454, 2514, 569, 955, 3946, 687, 2555, 3688, 1115, 3049, 3483, 2011, + 2139, 3545, 1795, 2008, 2158, 1902, 2313, 2968, 2415, 2601, 3704, 562, 1721, 4004, 601, 2434, 3771, 668, 2618, 3707, + 1125, 1799, 2303, 451, 1880, 3539, 638, 810, 2438, 575, 936, 1727, 775, 1258, 2853, 1259, 1963, 2866, 1131, 2219, + 3186, 573, 3050, 3374, 519, 2154, 3365, 1287, 2218, 3173, 772, 1130, 2224, 516, 1898, 3120, 1968, 2692, 2879, 556, + 3037, 3121, 1946, 2155, 3378, 1341, 3114, 3182, 1899, 3115, 3163, 829, 2862, 3562, 1969, 2732, 3391, 812, 2225, 3549, + 1500, 2667, 3438, 754, 1561, 3952, 594, 1194, 3240, 659, 1512, 2666, 747, 3296, 3953, 1195, 3228, 3633, 1137, 2749, + 3352, 1265, 1324, 3101, 921, 1202, 3632, 698, 761, 4026, 879, 3251, 3412, 932, 1523, 3601, 635, 738, 4030, 860, + 2674, 3429, 1904, 2697, 3160, 1283, 1949, 2160, 771, 1117, 3056, 777, 1245, 3057, 491, 2681, 4017, 1577, 3247, 3619, + 681, 2658, 4003, 937, 3303, 3939, 1882, 2843, 3563, 1114, 3051, 3355, 616, 746, 3270, 676, 1531, 3646, 490, 872, + 2687, 482, 891, 3966, 521, 2141, 3569, 1136, 2695, 3199, 915, 1490, 3286, 627, 1186, 3985, 883, 1572, 3921, 850, + 1555, 3218, 505, 954, 3962, 623, 3259, 3432, 1242, 3034, 3098, 2138, 2202, 3546, 1289, 2161, 2205, 1905, 2691, 2840, + 1519, 3309, 3448, 498, 1209, 4016, 665, 1594, 3642, 604, 3266, 3451, 1264, 1284, 1962, 515, 1885, 3568, 702, 767, + 1598, 511, 958, 1215, 1023, 1604, 2725, 1010, 1195, 2738, 1067, 1323, 2667, 3014, 3695, 2119, 3666, 1322, 2183, 2672, + 1066, 1328, 1607, 1863, 3730, 1200, 2751, 2820, 3010, 3759, 1178, 2173, 3699, 2237, 2673, 3771, 1917, 2650, 3763, 1644, + 2734, 3946, 1201, 2860, 3707, 1329, 1661, 3933, 2460, 2927, 3186, 1778, 2400, 3568, 1962, 2560, 2472, 3199, 1771, 2528, + 3569, 1963, 2593, 3503, 1073, 2877, 3688, 1006, 2220, 3752, 865, 1970, 3474, 1785, 3972, 935, 2620, 2901, 884, 2483, + 3477, 1762, 3978, 928, 2898, 3179, 1894, 2653, 2825, 1181, 2150, 2179, 1053, 1609, 3047, 984, 1603, 3030, 3170, 4007, + 2413, 2612, 3513, 3193, 3971, 892, 2535, 3555, 1886, 2715, 3947, 1050, 3040, 3676, 1770, 2502, 2491, 3480, 902, 3178, + 898, 3582, 2124, 3953, 1072, 2666, 2823, 855, 2450, 2518, 1954, 3982, 941, 2407, 3537, 918, 2390, 2583, 833, 3578, + 2561, 2904, 987, 3053, 3740, 1306, 2142, 3930, 1309, 2167, 2185, 1911, 2712, 2819, 2479, 2541, 2937, 1977, 3990, 2370 + ] + +private def ClayworthSurface_edge_tgt_data_chunk3 : Array (Fin 4032) := + #[ + 3519, 2498, 2943, 997, 1194, 2180, 1868, 3952, 1791, 2374, 832, 1983, 1087, 1732, 2352, 1074, 1707, 2347, 1003, 1842, + 2091, 3012, 3439, 2116, 3410, 1855, 1988, 2096, 1002, 1735, 1829, 1860, 3603, 1712, 2346, 2948, 3018, 3620, 1690, 2156, + 3443, 2028, 2097, 3642, 1900, 2074, 3625, 1772, 2353, 3962, 1713, 2988, 3451, 1789, 1838, 3966, 1569, 2795, 3375, 1504, + 1650, 3539, 2303, 3304, 1536, 2794, 1643, 3232, 3556, 2290, 3108, 3292, 1009, 3005, 3432, 1070, 2045, 3646, 864, 2283, + 3091, 1657, 3974, 948, 3315, 3349, 871, 1596, 3088, 1634, 3970, 929, 2802, 3346, 1909, 2077, 2953, 1693, 1993, 2165, + 989, 1737, 3061, 1048, 1731, 3062, 2809, 4021, 1517, 3106, 3311, 2786, 3983, 877, 3239, 3554, 1887, 2330, 3945, 986, + 3052, 3420, 1642, 3206, 1537, 3101, 896, 2815, 897, 3549, 2122, 3940, 1008, 2090, 2951, 854, 1559, 3222, 2297, 3973, + 956, 1511, 3536, 919, 1494, 3282, 834, 3562, 3323, 3352, 1051, 3039, 3609, 1819, 2143, 3929, 1816, 1987, 2166, 1910, + 2333, 2947, 1588, 3245, 3385, 2274, 4022, 1474, 3114, 3202, 3391, 1061, 1706, 1991, 1866, 3923, 1478, 1663, 838, 2282, + 767, 1092, 2085, 754, 1330, 2098, 818, 1202, 2354, 3008, 3438, 2112, 3429, 1215, 1924, 2341, 831, 1095, 1189, 1862, + 3749, 1317, 2111, 2756, 3009, 3758, 1307, 2145, 3442, 1964, 2350, 3775, 1888, 2331, 3762, 1132, 2094, 3898, 1326, 2796, + 3455, 1149, 1198, 3902, 2457, 2987, 3374, 1259, 2401, 3813, 2239, 3326, 2494, 2986, 1266, 3233, 3822, 2226, 3289, 3502, + 814, 2813, 3416, 750, 1981, 3736, 1377, 2219, 3493, 1250, 4023, 1444, 3305, 3348, 1396, 2473, 3476, 1273, 4006, 1433, + 2994, 3365, 1895, 2328, 2761, 1304, 1929, 2164, 792, 1097, 3060, 728, 1091, 3031, 3001, 3980, 2428, 3300, 3512, 2978, + 3998, 1404, 3252, 3832, 1901, 2075, 3881, 795, 3041, 3419, 1279, 3200, 2490, 3496, 1470, 3007, 1466, 3816, 2113, 3876, + 805, 2367, 2759, 1367, 2451, 3223, 2233, 4029, 1449, 2420, 3796, 1427, 2391, 3283, 1345, 3835, 3322, 3368, 731, 3068, + 3739, 1179, 2172, 3865, 1176, 1923, 2135, 1878, 2072, 2755, 2468, 3260, 3384, 2210, 3975, 2369, 3515, 3201, 3387, 741, + 1343, 1927, 1858, 3859, 1258, 2368, 1344, 2218, 810, 1223, 2661, 811, 1835, 2674, 747, 1714, 2731, 3015, 3694, 2118, + 3685, 1727, 2247, 2736, 746, 1220, 1701, 1856, 3632, 1840, 2687, 3143, 3020, 3633, 1818, 2144, 3698, 2301, 2737, 3626, + 1889, 2714, 3627, 1277, 2670, 3882, 1841, 3197, 3711, 1260, 1710, 3869, 1568, 2859, 2926, 1138, 1505, 3794, 2026, 2566, + 1542, 2858, 1131, 2529, 3823, 2027, 2592, 3121, 753, 3180, 3672, 817, 2284, 3613, 1376, 2034, 3120, 1145, 3991, 1455, + 2605, 2900, 1383, 1581, 3089, 1122, 4020, 1436, 2866, 2917, 1908, 2717, 3139, 1821, 2151, 2243, 733, 1219, 3046, 797, + 1225, 3063, 2873, 3969, 1532, 2599, 3107, 2850, 4028, 1389, 2548, 3833, 1916, 2651, 3883, 730, 3069, 3675, 1130, 2496, + 1538, 3134, 1448, 2879, 1467, 3800, 2114, 3889, 752, 2730, 3140, 1366, 1558, 2519, 2018, 4001, 1459, 1524, 3797, 1426, + 1495, 2582, 1346, 3839, 2562, 2920, 794, 3038, 3610, 1691, 2157, 3866, 1688, 2134, 2249, 1879, 2648, 3145, 1575, 2556 + ] + +private def ClayworthSurface_edge_tgt_data_chunk4 : Array (Fin 4032) := + #[ + 2936, 2041, 3968, 1473, 3130, 2497, 2939, 816, 1834, 2244, 1857, 3888, 1151, 1472, 1350, 2047, 1407, 1600, 2714, 1394, + 1577, 2739, 1321, 1469, 3309, 3526, 3760, 1223, 3755, 1299, 3079, 3294, 1307, 1415, 1606, 1095, 3691, 1563, 2706, 3332, + 3522, 3696, 1277, 1592, 3762, 3133, 3319, 3685, 1149, 3272, 3698, 1633, 2737, 4010, 1582, 3372, 3749, 1326, 1632, 3997, + 2031, 2102, 3163, 1756, 2527, 3056, 1669, 1949, 2053, 3160, 1753, 2399, 3057, 1718, 1946, 2991, 1463, 3389, 3732, 1390, + 3116, 3668, 1971, 2962, 1748, 3908, 1670, 2005, 2054, 2965, 1745, 3914, 2002, 3177, 1126, 3278, 3337, 1254, 1552, 3075, + 1420, 1615, 3559, 1368, 1613, 3542, 3171, 3943, 1717, 2504, 3001, 3157, 3907, 2378, 3043, 1118, 2723, 4011, 1438, 3552, + 3729, 1790, 2428, 2050, 2968, 3194, 3070, 1228, 4017, 1446, 3286, 3335, 2063, 2382, 1936, 3918, 2506, 3025, 1679, 2510, + 3066, 1666, 2008, 1371, 3565, 3665, 1246, 1336, 3994, 1271, 1296, 3081, 1143, 2709, 3331, 2041, 2101, 2376, 1976, 3926, + 2497, 3007, 2047, 2369, 1381, 1555, 3076, 1100, 4016, 1768, 2556, 1979, 1412, 1734, 1818, 1452, 1843, 2601, 1387, 2345, + 2477, 3440, 3524, 1220, 3435, 2323, 2462, 2884, 1386, 1728, 2331, 1092, 3634, 1810, 2587, 3460, 3530, 3621, 1260, 2616, + 3442, 2487, 2924, 3632, 1132, 2440, 3627, 1760, 1841, 4026, 2606, 3429, 3500, 1761, 2350, 4030, 1206, 2267, 2863, 1503, + 1625, 3027, 2629, 2781, 1157, 2264, 1628, 3044, 3231, 2212, 2678, 2778, 1393, 3412, 3517, 1462, 2941, 3601, 2195, 2803, + 1617, 3910, 2630, 2837, 1158, 2192, 1620, 3906, 2281, 2834, 1141, 2446, 3465, 1269, 2576, 2889, 1373, 1741, 3573, 1418, + 1743, 3574, 2275, 3957, 1480, 2210, 2677, 2261, 3919, 3042, 3210, 1119, 1827, 4009, 1370, 3409, 3564, 1640, 3260, 1154, + 2205, 2298, 3037, 1226, 4004, 1392, 2454, 3463, 1167, 3214, 2768, 3909, 1482, 3024, 1486, 2639, 3050, 2626, 2840, 1439, + 3551, 3604, 1247, 2360, 3993, 1270, 2320, 2883, 1142, 1813, 3459, 1205, 2873, 3208, 2808, 3958, 1473, 2218, 2879, 3201, + 1461, 2579, 2887, 1098, 3987, 1532, 1662, 2811, 1860, 2437, 1338, 2434, 1594, 1851, 3448, 3520, 1216, 3451, 1598, 1848, + 1930, 1571, 1863, 1094, 3707, 1315, 2252, 2438, 3521, 3704, 1249, 1328, 3443, 1838, 1951, 3674, 1120, 1829, 3699, 1900, + 2486, 3887, 1329, 2270, 3418, 1585, 1917, 3858, 2079, 2862, 3499, 2155, 2550, 3824, 2684, 3135, 2108, 3498, 2162, 3254, + 3825, 2655, 2990, 3122, 2285, 3421, 1980, 3677, 993, 2981, 3115, 2146, 3959, 1076, 2632, 2836, 1012, 2056, 2964, 2169, + 3942, 1057, 2853, 3506, 1127, 1812, 2245, 1268, 1297, 1928, 1865, 3572, 1859, 3543, 3513, 3916, 2502, 2634, 3000, 3490, + 3934, 1020, 3253, 3811, 1133, 2485, 3897, 3408, 3553, 2175, 3205, 2049, 2984, 1024, 3519, 1025, 3838, 1217, 3864, 1832, + 2242, 983, 2062, 3215, 3129, 3965, 1084, 2549, 3793, 1047, 2511, 2638, 961, 3834, 2625, 2856, 3580, 3664, 1276, 1584, + 3861, 1239, 1553, 1934, 1110, 2251, 2447, 2058, 2872, 3206, 3106, 3911, 2498, 3003, 2875, 3202, 1342, 1921, 1090, 3903, + 2154, 2501, 960, 3114, 2119, 3269, 2362, 3266, 2618, 2747, 3527, 3768, 1222, 3771, 2622, 2744, 2762, 2116, 2595, 1088 + ] + +private def ClayworthSurface_edge_tgt_data_chunk5 : Array (Fin 4032) := + #[ + 3642, 2339, 3148, 3270, 3532, 3619, 1248, 2352, 3763, 2734, 2783, 3611, 1121, 2725, 3625, 2173, 3318, 3886, 2353, 3166, + 3738, 2156, 2609, 3877, 1183, 2030, 3371, 1526, 1906, 3795, 1724, 2922, 1212, 3370, 1899, 2422, 3812, 1695, 2225, 2923, + 3181, 3741, 2812, 3608, 992, 2224, 2930, 1913, 3927, 1063, 1672, 2004, 999, 1160, 2193, 1890, 3956, 1056, 2021, 3378, + 1140, 2708, 3141, 1255, 2321, 2760, 2115, 3558, 2121, 3575, 3385, 3905, 1478, 1674, 2211, 3362, 3964, 1005, 2421, 3810, + 1148, 3317, 3896, 3581, 3728, 1898, 2373, 1153, 2238, 1030, 3391, 1026, 3805, 1218, 3880, 2728, 3138, 982, 1166, 2383, + 2914, 3937, 1069, 1525, 3792, 1046, 1487, 1678, 962, 3818, 1665, 2024, 3550, 3605, 1261, 2608, 3860, 1238, 2577, 2766, + 1111, 3147, 3279, 1162, 2040, 2374, 2937, 3904, 1474, 2234, 2043, 2370, 2366, 2753, 1089, 3899, 1477, 1919, 966, 2943, + 1088, 2074, 1587, 2099, 1203, 2611, 3761, 3776, 1732, 3738, 1170, 2586, 3084, 1094, 1178, 1607, 3418, 1562, 2066, 2890, + 3441, 3777, 1571, 1772, 3763, 2609, 3102, 3410, 1661, 2595, 3443, 1121, 2097, 3986, 1585, 2911, 3730, 1120, 1201, 4015, + 2276, 2742, 2970, 1241, 3045, 3230, 1797, 2200, 2693, 2973, 1244, 2398, 3054, 1846, 2203, 3172, 2940, 3733, 3117, 3413, + 2217, 3155, 1233, 3842, 1798, 2256, 2694, 3152, 1236, 3846, 2259, 2995, 1638, 2581, 2888, 1557, 1781, 3077, 1103, 3828, + 1101, 3799, 3000, 3894, 1845, 3170, 3205, 2960, 3845, 2380, 3064, 1630, 2083, 3989, 3747, 3809, 1256, 2413, 2690, 3165, + 3003, 3048, 1738, 4031, 2578, 2881, 2379, 2703, 2197, 3855, 3028, 3212, 1807, 3211, 3067, 1794, 2269, 3427, 3836, 1187, + 1759, 4025, 1173, 1782, 3083, 1655, 2069, 2894, 2274, 2373, 2741, 2211, 3893, 3178, 3202, 2282, 2370, 1554, 3074, 1612, + 3992, 1278, 3245, 2234, 1222, 2650, 2492, 2675, 1715, 3324, 3630, 3788, 1604, 3611, 1682, 3295, 3466, 1216, 1690, 1735, + 3674, 2463, 2642, 3338, 3697, 3783, 1644, 2437, 3625, 3318, 3487, 3666, 1789, 3269, 3699, 1248, 2673, 4014, 2486, 3359, + 3603, 1249, 1713, 4005, 1967, 2359, 2842, 1116, 2526, 3055, 1288, 2013, 2312, 2845, 1113, 1502, 3026, 1335, 2010, 2799, + 3388, 3600, 3516, 3669, 2035, 2770, 1108, 3844, 1280, 1941, 2304, 2773, 1105, 3850, 1938, 2867, 1766, 3275, 3336, 1653, + 2443, 3464, 1229, 3831, 1231, 3814, 2872, 3879, 1318, 2501, 2809, 2832, 3843, 1484, 3029, 1758, 2659, 4024, 3640, 3806, + 1150, 1517, 2305, 2776, 2875, 3071, 1610, 4008, 3287, 3329, 1483, 2317, 2000, 3854, 2508, 3065, 1293, 2507, 3032, 1281, + 1944, 3683, 3837, 1631, 1699, 3988, 1654, 1685, 3470, 1783, 2645, 3342, 1477, 1977, 2342, 2040, 3862, 2498, 2815, 1474, + 1983, 2455, 3457, 1740, 4027, 1128, 2541, 2043, 3163, 1532, 3177, 2281, 2556, 3504, 3846, 3499, 2259, 2527, 3591, 2267, + 3371, 1503, 3155, 3652, 3376, 3842, 1477, 3506, 2550, 3365, 3645, 2501, 3378, 3182, 4006, 1526, 3493, 3692, 2286, 4023, + 1199, 2714, 2998, 3046, 3294, 1821, 2184, 2717, 2949, 2462, 3063, 1818, 2095, 2231, 3476, 3709, 3348, 3628, 1843, 2066, + 3777, 1173, 2176, 2069, 2950, 3776, 1170, 2739, 2507, 3657, 1483, 3587, 3879, 3862, 2744, 3831, 2105, 2214, 3269, 2704 + ] + +private def ClayworthSurface_edge_tgt_data_chunk6 : Array (Fin 4032) := + #[ + 3784, 2444, 3016, 3192, 3981, 3473, 3872, 2477, 2072, 2946, 2747, 3008, 3969, 2519, 3655, 2443, 2959, 1808, 3789, 3021, + 3276, 2189, 3275, 3009, 1176, 2177, 3345, 3885, 2296, 3976, 2256, 3593, 3152, 3651, 1209, 2437, 2997, 1848, 3814, 2111, + 3266, 1215, 2434, 1495, 3588, 3968, 3309, 1851, 2246, 2431, 2715, 2418, 2729, 2493, 3251, 3078, 3886, 2183, 3867, 3226, + 3527, 2240, 2439, 1927, 3673, 2707, 3330, 3074, 3684, 2237, 3881, 3249, 3581, 3695, 1981, 3235, 3676, 2272, 2734, 3995, + 3373, 3859, 2273, 3992, 1775, 2358, 2843, 2012, 2160, 2591, 2309, 2840, 1375, 2009, 2161, 2980, 2487, 3358, 3856, 2414, + 3564, 3705, 2963, 2004, 3588, 1749, 2310, 2960, 2001, 3594, 1746, 2857, 1958, 3221, 3339, 2214, 3523, 2253, 2444, 3111, + 2255, 2392, 3094, 2851, 3623, 2568, 2978, 2837, 3587, 1354, 2147, 1950, 2744, 4009, 2462, 3104, 3896, 1404, 2046, 2306, + 2973, 2874, 2174, 2188, 4003, 2470, 3218, 3340, 1358, 2319, 3598, 2129, 2570, 2574, 2170, 1752, 2395, 3117, 3682, 2206, + 3989, 2231, 3529, 1975, 2704, 3333, 1352, 1785, 2357, 3606, 2561, 2986, 1345, 1791, 2405, 3524, 1932, 4026, 2024, 2620, + 1946, 1971, 3260, 2428, 2803, 2928, 3844, 2923, 2399, 2770, 3396, 2778, 3122, 1938, 3231, 3716, 3109, 3850, 2930, 3205, + 2422, 3120, 3436, 2373, 3115, 1969, 3991, 2917, 3254, 3756, 2801, 4020, 1307, 2038, 2671, 1563, 3031, 2328, 2821, 1304, + 1989, 2587, 3060, 1711, 2331, 2870, 2900, 3773, 3089, 3453, 1682, 2345, 3788, 2645, 2822, 1685, 1990, 3783, 1321, 2642, + 2379, 3721, 3211, 3401, 3893, 3894, 1315, 3799, 1571, 1721, 2869, 1301, 3787, 2584, 3017, 1955, 3979, 2897, 3884, 2601, + 1688, 1986, 1338, 3020, 3975, 2391, 3719, 1999, 2581, 2325, 3785, 1560, 3019, 1557, 2831, 3015, 2648, 2818, 3092, 3871, + 2787, 3977, 2773, 3395, 1941, 3715, 2037, 2595, 2681, 2339, 3828, 1594, 1727, 2618, 2687, 3223, 3399, 3980, 1577, 2362, + 1990, 2436, 2476, 2537, 1453, 2089, 2411, 3076, 3411, 2180, 3433, 1438, 2067, 2886, 1984, 2075, 2410, 1924, 3954, 2523, + 3780, 3082, 3941, 2220, 2552, 3419, 1463, 2912, 3952, 1416, 1964, 3947, 2016, 4016, 2542, 3438, 3820, 2017, 2094, 3985, + 1626, 3183, 2131, 2268, 2632, 2776, 1629, 2148, 2265, 3291, 2679, 2779, 2417, 3448, 3837, 2486, 2913, 3921, 2793, 2260, + 3590, 2624, 3157, 2257, 3586, 1651, 3154, 1422, 1973, 3785, 2229, 2512, 2893, 1997, 2397, 3125, 1999, 2442, 3126, 1656, + 3637, 2662, 1616, 3599, 2146, 3288, 1951, 4011, 2394, 3116, 3408, 2302, 3305, 1659, 2141, 2186, 4005, 1430, 2416, 3783, + 3285, 2773, 3589, 2128, 2637, 2154, 2625, 3160, 2463, 3103, 3924, 2104, 2207, 3988, 2064, 2230, 2895, 1974, 3779, 3193, + 3299, 2787, 3638, 3199, 3322, 2485, 2515, 2880, 1930, 4018, 2280, 2810, 1856, 2440, 2433, 1595, 1723, 3705, 3782, 1734, + 3711, 1576, 1720, 2188, 1592, 1862, 1606, 3455, 1994, 2432, 3449, 3778, 1760, 3698, 1710, 2206, 3435, 1632, 1701, 3442, + 1889, 2487, 3922, 2015, 3691, 1582, 1888, 3951, 2719, 2798, 3482, 2137, 3255, 3557, 2349, 3096, 2748, 3485, 2140, 2551, + 3566, 2334, 3099, 3185, 2044, 3690, 2221, 3434, 3113, 3184, 2129, 3878, 2309, 2772, 2696, 3153, 2132, 3895, 2789, 3507 + ] + +private def ClayworthSurface_edge_tgt_data_chunk7 : Array (Fin 4032) := + #[ + 1639, 1684, 1992, 1767, 2181, 1871, 3815, 1869, 3798, 3512, 3847, 2316, 3171, 3200, 3472, 3901, 2534, 3576, 1645, 2470, + 3925, 3682, 3808, 2152, 2504, 2689, 3198, 3515, 3560, 1730, 3967, 1704, 1985, 2509, 2702, 3093, 3870, 3238, 3540, 2315, + 3213, 3579, 2306, 2792, 3426, 3821, 1573, 1773, 3961, 1556, 1750, 2187, 1622, 1998, 2445, 2496, 2698, 2808, 3107, 3852, + 3194, 3201, 2497, 2811, 2178, 1602, 3928, 2174, 3208, 3130, 1896, 2376, 2298, 2369, 1473, 1979, 2936, 3840, 2939, 1472, + 1802, 1976, 1480, 1918, 3387, 2275, 2368, 3384, 3841, 2288, 2931, 1823, 1966, 3354, 1957, 3379, 1884, 2423, 3567, 2289, + 2906, 1527, 1881, 3538, 2670, 2975, 3755, 2144, 3319, 3950, 2876, 3647, 3004, 3754, 2145, 2606, 3941, 2094, 2847, 3634, + 2909, 1852, 3357, 1633, 2085, 3627, 2127, 3829, 1780, 2644, 2824, 1652, 2068, 2952, 2125, 3830, 1761, 2661, 3762, 1940, + 1800, 2257, 1873, 3892, 1876, 3863, 3769, 3780, 2104, 2826, 3264, 3746, 3820, 1660, 2597, 3924, 2406, 3577, 2896, 3873, + 2112, 2616, 2088, 2945, 1728, 3775, 1729, 3963, 3544, 1960, 1623, 2580, 2958, 3641, 3807, 1788, 3302, 3960, 1751, 2830, + 3277, 1601, 3944, 2664, 2817, 3344, 3900, 1510, 3541, 1485, 1806, 2381, 2600, 2680, 2954, 3618, 3786, 2107, 3265, 2619, + 2683, 1793, 2302, 3583, 2118, 3272, 1600, 3626, 1866, 3072, 3412, 2176, 3432, 1857, 1926, 3672, 1610, 3073, 3669, 2209, + 3420, 3689, 1952, 3675, 1887, 3731, 1631, 3417, 1916, 3748, 2335, 3182, 3819, 2614, 3051, 3504, 2669, 3583, 2364, 3818, + 3058, 3310, 3505, 2654, 2993, 3570, 1660, 3454, 3706, 1697, 2992, 3563, 3042, 3639, 1844, 2629, 3156, 1716, 2312, 2961, + 3065, 3622, 1825, 3173, 3826, 1608, 1959, 2228, 1864, 3124, 1870, 3095, 3596, 3833, 2566, 2636, 2979, 3614, 3810, 1724, + 3301, 3491, 1965, 3728, 3105, 3409, 3071, 3320, 2305, 3006, 1792, 3839, 1793, 3518, 2177, 3754, 1601, 1687, 2318, 3284, + 3577, 3645, 1852, 2613, 3473, 1815, 2575, 2635, 1665, 3514, 2626, 3176, 3132, 3683, 2236, 3746, 2199, 1614, 1942, 2314, + 3192, 3304, 3554, 3591, 2562, 3002, 3195, 3323, 1922, 3741, 2565, 3050, 1664, 3562, 3015, 3256, 2106, 3259, 2554, 2746, + 3079, 3874, 2182, 3882, 2558, 2723, 2764, 2531, 3012, 1920, 3962, 2083, 2828, 3240, 3084, 3939, 2096, 2208, 3883, 2737, + 2782, 3931, 1953, 2736, 3945, 3069, 3246, 3760, 2097, 2846, 3890, 2545, 3052, 3761, 1774, 3369, 1907, 3475, 2942, 3386, + 1882, 3492, 2905, 2861, 3903, 2797, 3928, 1696, 2908, 1912, 3607, 1748, 1831, 1703, 1872, 3636, 1765, 1824, 3355, 1972, + 2705, 2821, 2065, 2215, 2757, 3011, 3110, 3017, 3127, 3349, 3585, 3363, 3644, 1709, 3490, 1980, 3237, 3729, 3133, 3897, + 1885, 1798, 3352, 1794, 3485, 2178, 3770, 2750, 2818, 1686, 2897, 3617, 1837, 3472, 1814, 1666, 3498, 1768, 3102, 3925, + 2221, 2544, 3747, 2198, 2513, 2763, 1943, 2827, 3220, 1784, 2900, 3584, 1787, 2110, 2754, 1921, 3774, 1915, 1670, 2920, + 2970, 2995, 2035, 3245, 3505, 3914, 3482, 2002, 3230, 3596, 2010, 2906, 2962, 3402, 2929, 3908, 3507, 2898, 3255, 3614, + 2931, 3208, 2993, 3978, 3423, 3474, 2033, 3972, 2074, 3191, 2586, 3061, 1693, 1925, 2077, 3144, 2463, 3062, 1690, 1974 + ] + +private def ClayworthSurface_edge_tgt_data_chunk8 : Array (Fin 4032) := + #[ + 2735, 3452, 3477, 2901, 3629, 1715, 2706, 3522, 1926, 2709, 3136, 3526, 2099, 3214, 3400, 3589, 3958, 3957, 2104, 3574, + 1973, 2616, 2745, 2064, 3525, 2442, 3013, 2979, 3999, 3491, 3935, 2492, 2712, 3137, 2107, 3014, 4021, 3222, 3393, 2446, + 3149, 1680, 3535, 2589, 3023, 1935, 2576, 3010, 1922, 2915, 3948, 2019, 4012, 2005, 3595, 2965, 3406, 2440, 3174, 1720, + 3573, 2619, 2751, 2433, 3586, 4022, 2611, 1723, 1920, 2330, 2355, 2547, 3456, 3877, 1988, 3890, 2522, 3532, 1926, 2244, + 3417, 2322, 2882, 3428, 3457, 2028, 3883, 2545, 3439, 3550, 2284, 2531, 3420, 1953, 2353, 4019, 2925, 3888, 1952, 4027, + 2743, 2971, 2149, 2201, 3290, 2696, 2968, 2158, 2204, 2852, 2910, 3857, 3449, 3565, 2835, 2193, 3719, 2688, 2832, 2196, + 3724, 2985, 2293, 2517, 2891, 2037, 3525, 1935, 3508, 1933, 3479, 2979, 3764, 2850, 3320, 2965, 3721, 2168, 2271, 2339, + 3994, 3489, 3860, 2216, 2689, 2845, 3002, 2152, 1994, 3984, 2514, 2892, 2701, 3723, 2132, 3293, 3280, 2171, 3426, 3516, + 2015, 4024, 2038, 3531, 2294, 2325, 2885, 2726, 3735, 2858, 3323, 3522, 2250, 3997, 2238, 3315, 2842, 2413, 2867, 2217, + 2541, 3118, 3910, 3099, 2195, 2526, 3722, 2203, 3354, 2398, 2834, 3658, 3377, 3906, 2376, 3113, 2551, 3346, 3743, 2504, + 3379, 2865, 3970, 2423, 3091, 3679, 2222, 3974, 1839, 2650, 2806, 3047, 3295, 2248, 2653, 2757, 3030, 2295, 2340, 3088, + 3708, 3349, 3772, 2323, 3524, 1813, 2240, 2320, 2758, 3530, 1810, 2675, 2510, 3656, 2382, 3720, 3943, 3926, 2680, 3559, + 2278, 2338, 3272, 2640, 3523, 3022, 2851, 4013, 3128, 3936, 2333, 2754, 2683, 3012, 4007, 2518, 3649, 2767, 3534, 3011, + 3274, 2253, 3278, 3018, 1816, 2241, 3363, 3949, 2232, 4000, 2192, 3726, 2837, 3662, 1849, 2805, 3542, 2346, 3265, 1855, + 2390, 3713, 3990, 3324, 2182, 2651, 2665, 3241, 3468, 3950, 2247, 3931, 3227, 3786, 2176, 1991, 3689, 2643, 3334, 3463, + 3667, 2301, 3945, 3246, 3694, 3807, 2045, 3256, 3675, 2208, 2670, 4002, 3360, 3923, 2209, 4004, 2103, 3162, 1948, 2159, + 2590, 2056, 3165, 1945, 2130, 2788, 3361, 3920, 3704, 3836, 2771, 1940, 3713, 2048, 2768, 1937, 3712, 3187, 2022, 3216, + 3341, 2278, 3784, 2189, 3511, 2191, 3494, 3192, 3767, 2565, 2786, 3152, 3720, 2133, 2014, 2680, 4025, 3486, 3960, 1982, + 2049, 2781, 3195, 2175, 2252, 3996, 3219, 3328, 2061, 3725, 2169, 2572, 2571, 2136, 3517, 3664, 2270, 3993, 2295, 3790, + 2039, 2640, 3343, 2086, 3750, 2562, 2794, 3777, 1996, 4015, 1960, 2605, 3186, 3179, 2374, 2802, 2992, 3895, 2987, 2400, + 2789, 3639, 2795, 2859, 3184, 3766, 2864, 3878, 2994, 2401, 2853, 3622, 2368, 2866, 3173, 3942, 2981, 3765, 2800, 3959, + 2725, 3510, 2672, 3558, 2321, 3080, 2708, 3461, 2096, 3575, 2352, 2465, 3127, 2964, 3727, 2836, 3597, 2347, 2432, 3778, + 3072, 2445, 3462, 3782, 2738, 2381, 3714, 3585, 3841, 3840, 2736, 3830, 2464, 2661, 3110, 2705, 3781, 2065, 3528, 3156, + 3917, 2961, 3848, 2091, 2447, 3458, 2731, 3520, 3905, 2383, 3718, 2068, 3471, 2324, 3791, 2641, 3533, 2644, 3085, 3521, + 3073, 2833, 3853, 2769, 3912, 2772, 3592, 3153, 3717, 2085, 3509, 2341, 3829, 2438, 2674, 2098, 3584, 3904, 2667, 2354 + ] + +private def ClayworthSurface_edge_tgt_data_chunk9 : Array (Fin 4032) := + #[ + 2843, 2857, 2620, 3724, 3824, 3819, 2591, 3911, 3369, 2835, 3654, 3347, 3719, 3826, 2614, 3374, 3965, 2565, 3355, 2862, + 4029, 3680, 3813, 3975, 2715, 2999, 2150, 3226, 2712, 2952, 2167, 2351, 3681, 3796, 3384, 3948, 2322, 3457, 2325, 2944, + 3456, 2729, 2571, 3661, 3907, 3767, 3750, 2723, 3511, 2361, 3256, 2709, 3464, 2120, 2872, 4012, 3742, 3793, 2328, 2945, + 2746, 2112, 3971, 2583, 3648, 2957, 3469, 2125, 3229, 3216, 2113, 3344, 3773, 3977, 3913, 2832, 3663, 2982, 3494, 2367, + 3259, 3908, 3972, 3251, 2474, 3162, 2475, 3187, 2412, 2605, 3566, 3590, 3547, 2590, 3847, 2372, 3353, 3154, 3650, 3364, + 3586, 3561, 2615, 3375, 3901, 2568, 3356, 3185, 3973, 3539, 3693, 4022, 2651, 2807, 2151, 3227, 2648, 2760, 2134, 2084, + 2422, 3536, 3678, 2481, 3385, 3884, 2067, 3076, 2064, 2752, 3082, 2665, 2574, 3659, 3843, 2378, 3623, 2461, 3606, 2659, + 3111, 2082, 3235, 2645, 3075, 2126, 3171, 3979, 2399, 3576, 3616, 2077, 2753, 2682, 2116, 4028, 2421, 2582, 3660, 2765, + 3086, 2115, 3224, 3221, 2122, 2458, 3362, 3629, 3999, 3849, 3157, 3653, 2790, 3094, 2090, 3258, 2480, 3844, 3991, 3241, + 3142, 3263, 3250, 2419, 3325, 2880, 3887, 2948, 3868, 2394, 3520, 3136, 3271, 2759, 3612, 3458, 2881, 3631, 2988, 3865, + 2417, 3553, 3620, 2403, 2813, 3609, 3168, 4018, 3501, 3876, 3169, 4031, 2844, 2841, 2223, 3319, 3486, 3874, 3246, 3552, + 3618, 2194, 2836, 3655, 2197, 2833, 3660, 2389, 2790, 3467, 2997, 3535, 2932, 3149, 3276, 2903, 3151, 3224, 3700, 2233, + 3657, 2782, 4011, 2913, 3294, 3897, 2878, 2200, 2954, 4002, 2386, 3302, 3468, 3659, 2940, 3227, 3641, 2975, 4025, 2998, + 3533, 2807, 3461, 3671, 2239, 3237, 3526, 2764, 4010, 2856, 3206, 2283, 2502, 3863, 2288, 2528, 3446, 2290, 2226, 3232, + 3702, 2213, 3892, 3200, 2224, 2529, 3445, 2219, 2496, 3927, 3233, 3701, 2277, 3956, 2934, 3297, 3543, 3333, 2885, 3572, + 2588, 3382, 3663, 2193, 3407, 2600, 3786, 3277, 3334, 2580, 2886, 3780, 3264, 2509, 3650, 3213, 3394, 3852, 3847, 3798, + 2585, 3381, 3790, 3529, 3915, 3851, 2577, 2882, 3532, 3911, 2511, 3654, 2895, 3779, 3531, 3343, 3527, 3279, 3330, 2196, + 3849, 2260, 3913, 2257, 3397, 3653, 2933, 3296, 3815, 2622, 3270, 3215, 3398, 3916, 3305, 2793, 2916, 3713, 2905, 2771, + 3394, 2779, 3570, 3291, 3852, 3557, 3712, 2908, 3320, 3437, 3568, 3563, 3990, 2927, 3310, 3870, 2798, 3982, 2660, 3141, + 2523, 3190, 2937, 3885, 3422, 3537, 3468, 2640, 3142, 3463, 2643, 3845, 3280, 3403, 3735, 3764, 3479, 3189, 3467, 2520, + 4013, 2914, 3772, 2537, 4023, 3842, 2517, 3465, 3151, 2653, 3138, 3540, 3745, 2808, 3976, 2768, 3397, 3851, 2531, 2658, + 3508, 2554, 2666, 3283, 3404, 3998, 2375, 2429, 3315, 2482, 2985, 2899, 3588, 2921, 2963, 3398, 2495, 2971, 3802, 3290, + 3916, 3594, 3825, 2907, 3299, 3424, 3794, 3827, 3968, 2926, 3313, 3934, 2990, 4001, 2724, 2333, 2824, 2522, 2330, 2871, + 2478, 2936, 3949, 2423, 3425, 3797, 2355, 3078, 2704, 2816, 3074, 2707, 3909, 3285, 3405, 2456, 3637, 2380, 3638, 3125, + 2854, 3087, 2525, 3981, 2459, 2896, 3628, 2547, 3974, 2469, 3906, 2512, 2320, 3077, 2829, 2717, 2817, 2398, 3615, 3811 + ] + +private def ClayworthSurface_edge_tgt_data_chunk10 : Array (Fin 4032) := + #[ + 3000, 4000, 2960, 3407, 3915, 2552, 2722, 2360, 3126, 2555, 2730, 2406, 3282, 3392, 3983, 2363, 2822, 3268, 3308, 3243, + 2887, 3731, 2951, 3753, 3072, 2816, 3242, 2756, 3932, 3778, 2892, 3951, 3005, 3739, 3105, 3940, 2796, 3929, 2848, 3987, + 3758, 3821, 2849, 3984, 3164, 2459, 3161, 3249, 3768, 3806, 3104, 3318, 3938, 3156, 3648, 3153, 3649, 2805, 3787, 2982, + 3087, 2829, 2918, 3229, 2831, 2935, 3274, 3686, 3661, 2456, 2783, 4009, 2941, 3226, 3728, 2473, 3198, 2956, 4014, 3248, + 3788, 2453, 3656, 2910, 3295, 3961, 2974, 4024, 2999, 3085, 2806, 3781, 2467, 3703, 2490, 3078, 3317, 2762, 3995, 3176, + 3462, 3668, 3688, 3416, 3413, 3458, 3676, 3433, 3419, 3602, 3673, 3631, 2718, 2801, 3802, 3033, 3109, 3313, 3544, 2733, + 3805, 2615, 3036, 3118, 2865, 3547, 3710, 3450, 2864, 3561, 3025, 3766, 2769, 2693, 2833, 3028, 3765, 2800, 3827, 3495, + 3478, 3722, 3832, 2851, 3326, 3743, 3792, 2598, 3128, 3605, 3488, 3665, 2568, 3048, 2690, 2878, 3835, 3112, 3647, 2573, + 2699, 3541, 3756, 3092, 3312, 3281, 3131, 2814, 3427, 3501, 3641, 2560, 2700, 2787, 3555, 3716, 2874, 3322, 2561, 2810, + 3608, 3070, 3299, 3578, 2901, 3714, 2904, 3368, 3348, 3718, 2907, 3353, 3356, 3119, 2921, 3090, 2673, 2974, 3867, 3040, + 3249, 3630, 3196, 3967, 2989, 3864, 2542, 3041, 3621, 3167, 3954, 2938, 3390, 3947, 3023, 3509, 2641, 3144, 2949, 3021, + 3510, 2672, 3881, 3734, 3751, 3460, 3875, 3146, 3262, 3500, 3861, 2533, 3604, 3129, 2915, 3757, 2552, 3008, 2946, 3898, + 3643, 3096, 2516, 2955, 3487, 3961, 3248, 3640, 3150, 3217, 3624, 2686, 3137, 3345, 3744, 3093, 2536, 2659, 2956, 3466, + 3938, 3258, 2555, 2682, 3135, 3014, 3235, 3946, 2886, 3732, 2950, 3752, 2758, 3613, 2882, 3600, 2976, 3740, 3635, 2784, + 3610, 3411, 3737, 3428, 3817, 3049, 3376, 3560, 3834, 3035, 3377, 3548, 3774, 3643, 2657, 3545, 3043, 3702, 2740, 2676, + 3029, 3701, 2721, 3803, 2791, 2983, 2919, 2902, 3658, 3797, 3679, 3811, 2684, 3363, 2797, 3408, 2912, 3729, 3032, 2688, + 3800, 2689, 3390, 2946, 3434, 2647, 3540, 3692, 2748, 3345, 2711, 2625, 3386, 2925, 3640, 2989, 3426, 2966, 2774, 3537, + 3652, 2754, 3421, 3066, 2624, 3582, 3020, 2884, 3856, 2944, 3869, 3010, 2752, 3933, 2890, 3920, 2977, 3866, 3955, 2785, + 3930, 3038, 3440, 3891, 3053, 3441, 3497, 3347, 3112, 3514, 3364, 3100, 3899, 3963, 2656, 3097, 3670, 2727, 2663, 3687, + 2720, 3483, 2804, 2996, 2933, 3013, 2934, 3019, 3477, 3650, 3491, 3693, 2669, 3362, 2812, 3409, 2924, 3896, 2694, 3480, + 2690, 3357, 2945, 3450, 2646, 3092, 3680, 2733, 3344, 2710, 2626, 3370, 2911, 3960, 3004, 3427, 2967, 2775, 3089, 3654, + 2753, 3454, 2630, 3134, 2752, 3328, 3858, 2820, 3891, 3521, 2758, 3140, 3737, 3073, 3329, 3748, 2860, 3866, 3580, 3759, + 3180, 3740, 2785, 3996, 3132, 3889, 2784, 4008, 2972, 2969, 3103, 3875, 3551, 3769, 2964, 3399, 2961, 3404, 3086, 3189, + 2869, 3534, 2767, 3380, 2765, 3351, 3444, 3401, 3167, 3993, 3361, 3861, 3006, 2826, 3985, 3082, 3403, 3388, 3746, 2847, + 3988, 2870, 3528, 3080, 3190, 3415, 3530, 3146, 4030, 2984, 2944, 3340, 3922, 3143, 3955, 3782, 2950, 2823, 3635, 3462 + ] + +private def ClayworthSurface_edge_tgt_data_chunk11 : Array (Fin 4032) := + #[ + 3335, 3602, 3197, 3930, 3633, 3808, 2877, 3610, 2977, 4003, 3488, 3953, 2976, 4017, 2780, 2777, 3489, 3939, 3619, 3809, + 2772, 3393, 2769, 3392, 2854, 3469, 3174, 3789, 2959, 3383, 2957, 3366, 3447, 3400, 2846, 3989, 3358, 3925, 2814, 3148, + 4019, 3456, 3405, 3389, 3605, 3166, 3994, 3191, 3791, 2871, 3471, 3430, 3776, 2828, 3986, 2792, 3404, 3795, 3817, 3904, + 3497, 3584, 3399, 3475, 3803, 3502, 3937, 3483, 3998, 3617, 3822, 3980, 3616, 3832, 3512, 3936, 3329, 3328, 3599, 3919, + 3447, 3430, 3383, 3336, 4013, 3422, 3792, 3973, 3590, 3341, 3453, 3472, 3979, 3917, 3597, 3366, 3910, 3970, 3306, 3307, + 3244, 3538, 3648, 3571, 3841, 3204, 3481, 3585, 3492, 3649, 3546, 3503, 3900, 3484, 3971, 3569, 3644, 4007, 3254, 3555, + 3615, 3313, 3513, 3871, 2887, 2892, 3598, 3854, 3210, 3700, 3293, 3671, 2932, 2889, 3977, 3231, 3541, 3681, 4001, 3253, + 3594, 2891, 3290, 3490, 3708, 4000, 3848, 3592, 2903, 3312, 3850, 4020, 3161, 3164, 3054, 3638, 3035, 3894, 3183, 3721, + 3589, 3049, 3845, 3172, 3909, 3027, 3764, 3958, 3317, 3248, 3279, 3024, 3745, 3851, 3308, 3751, 3900, 3644, 3607, 3302, + 3237, 3277, 3170, 3915, 3064, 3615, 3325, 3964, 3744, 3217, 3220, 3595, 3935, 3871, 3193, 3715, 3250, 3863, 3927, 3243, + 3392, 3567, 3548, 3840, 3100, 3714, 3119, 3393, 3545, 3108, 3873, 3097, 3983, 3556, 3757, 4021, 3554, 3742, 3106, 3872, + 3335, 3340, 3723, 3855, 3444, 3415, 3380, 3337, 3981, 3425, 3577, 4029, 3724, 3339, 3129, 3452, 4012, 3853, 3717, 3351, + 3846, 4006, 3304, 3751, 3431, 3292, 3670, 3734, 3326, 3414, 3607, 3289, 3687, 3636, 3225, 3095, 3331, 3124, 3367, 3651, + 3406, 3466, 3217, 3338, 3460, 3262, 3658, 3281, 3396, 3716, 3722, 3478, 3350, 3470, 3081, 3595, 3715, 3084, 3591, 3652, + 3459, 3083, 3342, 3079, 3220, 3332, 3726, 3593, 3395, 3662, 3228, 3495, 3240, 3284, 3402, 3596, 3656, 3401, 3893, 3703, + 3444, 3926, 3855, 3918, 3267, 3139, 3175, 3853, 3425, 3146, 3274, 3268, 3901, 3431, 3670, 3693, 3158, 3949, 3662, 3959, + 3878, 3150, 3140, 3278, 3678, 3912, 3395, 3884, 3303, 3286, 3424, 3934, 3207, 3261, 3314, 3655, 3718, 3327, 3801, 3905, + 3660, 3812, 3744, 3823, 3804, 3969, 3964, 4028, 3310, 3935, 3255, 3745, 3833, 3918, 3725, 3288, 3686, 3212, 3703, 3976, + 3291, 3709, 3978, 3301, 3914, 3230, 3678, 3810, 3999, 3727, 3912, 3238, 3712, 3982, 3334, 3601, 3646, 3736, 3330, 3733, + 3609, 3753, 3739, 3667, 3612, 3684, 3801, 3579, 3838, 3571, 3624, 3770, 3546, 3446, 3445, 3804, 3367, 3350, 3402, 3796, + 3423, 3793, 3664, 3360, 3604, 3816, 3690, 3436, 3576, 3373, 3747, 3682, 3396, 3536, 3677, 3549, 3394, 3496, 3398, 3476, + 3481, 3484, 3868, 3697, 3944, 3880, 3696, 3932, 3518, 3929, 3381, 3382, 3865, 3414, 3431, 3332, 3857, 3372, 3860, 3665, + 3437, 3902, 3706, 3359, 3924, 3683, 3710, 3424, 3473, 3338, 3921, 3966, 3767, 3879, 3587, 3720, 3843, 3907, 3623, 3943, + 3616, 3849, 3636, 3873, 3757, 3734, 3913, 3742, 3937, 3617, 3726, 3936, 3872, 3593, 3892, 3956, 3574, 3465, 3525, 3785, + 3508, 3828, 3489, 3531, 3495, 3580, 3779, 3808, 3488, 3809, 3551, 3459, 3543, 3815, 3862, 3657, 3854, 3919, 3700, 3957 + ] + +private def ClayworthSurface_edge_tgt_data_chunk12 : Array (Fin 4032) := + #[ + 3681, 3848, 3687, 3870, 3917, 3965, 3680, 3948, 3885, 3651, 3895, 3942, 3659, 3735, 3671, 3606, 3723, 3598, 3717, 3743, + 3702, 3679, 3629, 3653, 3639, 3766, 3708, 3592, 3772, 3614, 3814, 3789, 3837, 3829, 3791, 3820, 3784, 3831, 3790, 3821, + 3806, 3798, 3787, 3799, 3781, 3807, 3836, 3830 + ] + +private def ClayworthSurface_edge_tgt_data : Array (Fin 4032) := + ClayworthSurface_edge_tgt_data_chunk0 ++ ClayworthSurface_edge_tgt_data_chunk1 ++ ClayworthSurface_edge_tgt_data_chunk2 ++ ClayworthSurface_edge_tgt_data_chunk3 ++ ClayworthSurface_edge_tgt_data_chunk4 ++ ClayworthSurface_edge_tgt_data_chunk5 ++ ClayworthSurface_edge_tgt_data_chunk6 ++ ClayworthSurface_edge_tgt_data_chunk7 ++ ClayworthSurface_edge_tgt_data_chunk8 ++ ClayworthSurface_edge_tgt_data_chunk9 ++ ClayworthSurface_edge_tgt_data_chunk10 ++ ClayworthSurface_edge_tgt_data_chunk11 ++ ClayworthSurface_edge_tgt_data_chunk12 + +private def ClayworthSurface_face_edge_data_chunk0 : Array (Fin 6048) := + #[ + 0, 3430, 2476, 2477, 4501, 4, 3, 3343, 2408, 2409, 4509, 2, 1, 5102, 1115, 1114, 5009, 99, 100, 5101, + 1040, 1039, 4987, 0, 2, 4114, 3260, 3261, 4588, 39, 40, 4109, 3235, 3236, 4595, 1, 4, 3111, 1429, 1431, + 4856, 25, 24, 3141, 1504, 1505, 4858, 5, 5, 3882, 2715, 2717, 4993, 180, 182, 3878, 2777, 2778, 4970, 3, + 7, 3358, 1765, 1766, 4511, 17, 16, 3431, 1840, 1841, 4508, 8, 6, 3093, 3092, 3504, 4859, 20, 18, 3138, + 3137, 3564, 4855, 7, 8, 3875, 2098, 2099, 4644, 135, 137, 3879, 2165, 2166, 4627, 6, 11, 3341, 3340, 4008, + 3714, 12, 14, 3366, 3365, 4048, 3828, 9, 10, 5368, 2744, 2745, 5653, 119, 118, 5371, 2713, 2714, 5658, 11, + 9, 3829, 539, 538, 5166, 29, 27, 3795, 464, 463, 5157, 10, 12, 3715, 923, 922, 4921, 133, 132, 3718, + 848, 847, 4903, 13, 13, 4143, 3531, 3532, 4587, 32, 30, 4108, 3501, 3502, 4597, 14, 17, 5367, 4826, 4827, + 5274, 33, 35, 5370, 4809, 4810, 5268, 15, 15, 5269, 1043, 1042, 5167, 164, 163, 5271, 1085, 1084, 5179, 16, + 19, 5103, 731, 730, 4675, 96, 97, 5104, 656, 655, 4679, 18, 20, 4330, 4264, 4265, 4927, 45, 46, 4325, + 4225, 4226, 4926, 19, 21, 3712, 1307, 1306, 4580, 184, 183, 3710, 1232, 1231, 4583, 22, 23, 3102, 3024, 3025, + 3794, 27, 28, 3095, 2981, 2982, 3711, 21, 22, 4359, 2439, 2440, 4930, 37, 36, 4323, 2405, 2406, 4934, 23, + 25, 5681, 4807, 4808, 5874, 44, 42, 5670, 4837, 4838, 5878, 26, 26, 5879, 659, 658, 5155, 166, 167, 5877, + 701, 700, 5176, 24, 29, 5829, 2130, 2131, 5720, 157, 158, 5823, 2095, 2096, 5727, 28, 31, 5194, 2251, 2252, + 4907, 93, 95, 5211, 2286, 2287, 4889, 30, 32, 4337, 1933, 1935, 4931, 42, 43, 4362, 2008, 2009, 4933, 31, + 34, 4146, 1672, 1673, 4596, 38, 37, 4121, 1597, 1598, 4599, 35, 33, 5275, 851, 850, 3789, 71, 70, 5273, + 893, 892, 3825, 34, 38, 5191, 2860, 2861, 4552, 90, 92, 5212, 2921, 2922, 4537, 36, 39, 5158, 467, 466, + 3793, 47, 45, 5180, 509, 508, 3809, 41, 41, 5369, 2321, 2322, 5624, 115, 116, 5366, 2254, 2255, 5633, 40, + 44, 5875, 1235, 1234, 3811, 67, 68, 5876, 1277, 1276, 3826, 43, 47, 5928, 2888, 2889, 5576, 160, 161, 5920, + 2857, 2858, 5583, 46, 49, 4560, 1334, 1333, 3310, 89, 88, 4541, 1246, 1245, 3308, 50, 48, 5418, 1924, 1923, + 3927, 59, 58, 5423, 1961, 1960, 3839, 49, 50, 5281, 4813, 4814, 5389, 168, 170, 5283, 4830, 4831, 5419, 48, + 52, 5241, 479, 478, 3926, 62, 60, 5264, 566, 564, 3956, 53, 51, 4531, 2849, 2848, 3301, 188, 187, 4536, + 2900, 2899, 3302, 52, 53, 5292, 4255, 4256, 5056, 145, 146, 5282, 4232, 4233, 5082, 51, 56, 5811, 1625, 1624, + 3836, 63, 64, 5804, 1588, 1587, 3953, 55, 54, 3345, 2883, 2882, 5018, 154, 153, 3401, 2851, 2850, 5017, 56, + 55, 4769, 2455, 2454, 3406, 141, 142, 4722, 2395, 2394, 3344, 54, 57, 3091, 2298, 2297, 5410, 124, 123, 3127 + ] + +private def ClayworthSurface_face_edge_data_chunk1 : Array (Fin 6048) := + #[ + 2243, 2242, 5422, 58, 59, 5555, 3543, 3542, 3139, 108, 109, 5520, 3493, 3492, 3090, 57, 62, 5891, 3295, 3296, + 5455, 112, 113, 5881, 3242, 3243, 5467, 61, 61, 4878, 2245, 2244, 3062, 121, 122, 4890, 2280, 2279, 3053, 60, + 63, 4764, 950, 948, 3064, 74, 73, 4747, 863, 861, 3068, 65, 65, 5885, 4851, 4852, 5918, 106, 107, 5883, + 4815, 4816, 5916, 64, 67, 5099, 2632, 2633, 4652, 117, 119, 5044, 2564, 2565, 4617, 66, 66, 4616, 3276, 3277, + 5600, 136, 135, 4643, 3233, 3234, 5605, 68, 69, 4955, 4250, 4251, 5341, 181, 180, 4992, 4227, 4228, 5272, 70, + 71, 5472, 3683, 3684, 4996, 156, 157, 5449, 3629, 3630, 4956, 69, 74, 5110, 4234, 4235, 4352, 81, 83, 5126, + 4280, 4281, 4332, 72, 72, 4331, 3639, 3311, 3312, 191, 190, 4390, 3669, 3304, 3305, 73, 75, 3171, 905, 904, + 4694, 110, 108, 3140, 860, 859, 4697, 77, 76, 5184, 1417, 1416, 3179, 186, 188, 5186, 1481, 1480, 3170, 75, + 77, 5111, 4469, 4470, 5189, 85, 86, 5109, 4445, 4446, 5185, 76, 78, 4135, 2089, 2088, 4692, 149, 147, 4106, + 2124, 2123, 4684, 79, 80, 5127, 3265, 3266, 4116, 87, 89, 5107, 3240, 3241, 4136, 78, 79, 5686, 374, 373, + 5421, 155, 154, 5674, 287, 286, 5403, 80, 81, 4351, 2707, 2706, 5398, 139, 138, 4322, 2739, 2738, 5400, 82, + 82, 5401, 284, 283, 5942, 125, 124, 5411, 329, 328, 5946, 83, 84, 3423, 1289, 1288, 5498, 143, 141, 3407, + 1244, 1243, 5501, 86, 85, 5188, 1753, 1752, 3392, 120, 121, 5187, 1817, 1816, 3424, 84, 87, 4115, 2554, 2553, + 3065, 128, 127, 4174, 2588, 2587, 3052, 88, 91, 5914, 317, 316, 5332, 137, 136, 5906, 275, 274, 5322, 92, + 90, 4551, 4009, 4010, 5832, 167, 165, 4528, 4032, 4033, 5833, 91, 94, 5324, 272, 271, 5699, 182, 181, 5342, + 347, 346, 5696, 95, 93, 4714, 2983, 2984, 5270, 163, 162, 4721, 3008, 3009, 5323, 94, 98, 5193, 4441, 4442, + 5100, 100, 101, 5195, 4464, 4465, 5105, 97, 96, 4674, 1633, 1634, 5704, 118, 117, 4651, 1595, 1596, 5706, 98, + 99, 5010, 1969, 1970, 5822, 158, 156, 4995, 1931, 1932, 5805, 101, 102, 3924, 476, 475, 5240, 173, 171, 3936, + 521, 520, 5250, 104, 103, 4954, 2705, 2704, 3921, 126, 128, 4971, 2756, 2755, 3923, 102, 104, 5890, 4037, 4038, + 5521, 109, 110, 5884, 4013, 4014, 5533, 103, 106, 5919, 1756, 1755, 5075, 148, 149, 5917, 1793, 1792, 5094, 105, + 105, 5015, 1142, 1141, 4296, 176, 175, 4966, 1055, 1053, 4300, 107, 112, 5454, 2398, 2397, 4321, 138, 140, 5489, + 2432, 2431, 4360, 111, 111, 4361, 1052, 1051, 5021, 152, 151, 4386, 1097, 1096, 5023, 113, 114, 4558, 1763, 1764, + 5563, 185, 184, 4579, 1801, 1802, 5560, 116, 115, 4713, 3632, 3633, 4529, 165, 166, 4746, 3662, 3663, 4559, 114, + 120, 3391, 3702, 3701, 4286, 178, 177, 3363, 3641, 3640, 4297, 122, 125, 3748, 3043, 3044, 3104, 174, 176, 3721, + 2990, 2991, 3128, 123, 126, 3922, 1649, 1648, 4170, 130, 129, 3909, 1585, 1584, 4175, 127, 130, 4169, 713, 712 + ] + +private def ClayworthSurface_face_edge_data_chunk2 : Array (Fin 6048) := + #[ + 5432, 146, 144, 4145, 668, 667, 5435, 131, 131, 3729, 3728, 4496, 3951, 150, 152, 3725, 3724, 4447, 3910, 129, + 134, 3881, 3880, 4440, 3709, 183, 185, 3877, 3876, 4480, 3717, 132, 133, 4922, 1465, 1466, 5606, 161, 159, 4909, + 1427, 1428, 5608, 134, 139, 5399, 1457, 1456, 5263, 169, 168, 5388, 1420, 1419, 5251, 140, 143, 5278, 2988, 2989, + 4740, 172, 173, 5293, 3013, 3014, 4723, 142, 145, 5055, 3495, 3494, 4105, 147, 148, 5076, 3526, 3525, 4144, 144, + 150, 3950, 1921, 1920, 4391, 190, 189, 3959, 1985, 1984, 4385, 151, 155, 3747, 3746, 4064, 3364, 177, 179, 3727, + 3726, 4015, 3402, 153, 160, 5515, 2561, 2562, 4879, 162, 164, 5538, 2595, 2596, 4910, 159, 169, 4653, 758, 757, + 4080, 179, 178, 4631, 670, 669, 4083, 170, 172, 4619, 2087, 2086, 3958, 189, 191, 4626, 2142, 2141, 3935, 171, + 174, 3103, 2551, 2550, 4081, 187, 186, 3178, 2611, 2610, 4070, 175, 193, 2326, 2325, 2929, 2930, 197, 195, 2220, + 2219, 2941, 2942, 194, 192, 3440, 947, 946, 4061, 292, 291, 3437, 938, 937, 4066, 193, 194, 2701, 2700, 4179, + 3529, 231, 232, 2695, 2694, 4187, 3439, 192, 197, 2093, 1936, 1937, 3185, 216, 217, 2125, 1864, 1865, 3187, 196, + 196, 2539, 2537, 4126, 4024, 372, 374, 2531, 2530, 4171, 4007, 195, 199, 2239, 1768, 1769, 2944, 209, 208, 2327, + 1696, 1697, 2940, 200, 198, 2070, 2071, 3188, 3189, 212, 211, 2121, 2122, 3183, 3184, 199, 200, 2526, 2524, 3116, + 4244, 327, 329, 2533, 2532, 3175, 4224, 198, 202, 2218, 2217, 2939, 2343, 204, 206, 2249, 2248, 2931, 2478, 201, + 203, 5287, 4150, 4151, 5625, 310, 311, 5291, 4123, 4124, 5641, 202, 201, 2479, 437, 436, 3541, 221, 219, 2438, + 446, 444, 3528, 203, 204, 2344, 1139, 1138, 3293, 325, 324, 2349, 1130, 1129, 3259, 205, 205, 2736, 2737, 4177, + 4178, 223, 222, 2690, 2691, 4189, 4190, 206, 209, 5286, 5285, 5661, 5354, 225, 227, 5290, 5289, 5656, 5347, 207, + 207, 5348, 914, 912, 3543, 356, 355, 5350, 899, 898, 3563, 208, 210, 3447, 755, 754, 4278, 289, 288, 3450, + 746, 745, 4283, 211, 212, 2845, 2844, 3962, 3565, 237, 238, 2839, 2838, 3970, 3446, 210, 214, 2880, 2881, 3796, + 3961, 229, 228, 2834, 2835, 3765, 3972, 215, 213, 2337, 1331, 1330, 3040, 376, 375, 2334, 1322, 1321, 3046, 214, + 215, 2083, 2082, 3181, 2437, 219, 220, 2075, 2074, 3180, 2336, 213, 216, 5689, 5762, 5763, 5949, 236, 235, 5690, + 5784, 5785, 5935, 218, 218, 5936, 722, 720, 3526, 358, 359, 5941, 707, 706, 3560, 217, 221, 5887, 3146, 3147, + 5721, 349, 350, 5889, 3113, 3114, 5733, 220, 224, 3600, 3367, 3369, 3270, 285, 287, 3620, 3397, 3399, 3237, 222, + 223, 2855, 1432, 1433, 3974, 235, 234, 2884, 1360, 1362, 3971, 224, 226, 2740, 1528, 1529, 4188, 230, 229, 2711, + 1600, 1601, 4192, 227, 225, 5355, 1106, 1104, 2432, 263, 262, 5353, 1091, 1090, 2473, 226, 230, 3593, 3591, 4342, + 3000, 282, 284, 3622, 3621, 4387, 2980, 228, 231, 3530, 488, 486, 2436, 239, 237, 3566, 557, 555, 2453, 233 + ] + +private def ClayworthSurface_face_edge_data_chunk3 : Array (Fin 6048) := + #[ + 233, 5288, 3426, 3427, 5652, 307, 308, 5284, 3371, 3372, 5663, 232, 236, 5950, 1298, 1296, 2455, 259, 260, 5951, + 1283, 1282, 2474, 234, 239, 5888, 4366, 4367, 5577, 352, 353, 5886, 4339, 4340, 5589, 238, 241, 3010, 1171, 1170, + 2184, 281, 280, 2987, 1249, 1248, 2181, 242, 240, 5339, 1474, 1472, 2595, 251, 250, 5345, 1461, 1460, 2489, 241, + 242, 5362, 5361, 5766, 5308, 360, 362, 5365, 5364, 5779, 5340, 240, 243, 3668, 413, 411, 2594, 254, 252, 3703, + 395, 393, 2635, 245, 244, 2972, 2971, 2174, 2172, 379, 380, 2979, 2978, 2176, 2175, 243, 245, 5372, 4657, 4658, + 4726, 337, 338, 5363, 4632, 4633, 4753, 244, 248, 5915, 1629, 1628, 2486, 255, 256, 5913, 1642, 1640, 2632, 247, + 246, 2223, 4361, 4360, 4682, 346, 345, 2290, 4334, 4333, 4681, 248, 247, 5099, 3811, 3810, 2297, 333, 334, 5053, + 3756, 3755, 2222, 246, 249, 2069, 3407, 3406, 5331, 316, 315, 2111, 3362, 3361, 5344, 250, 251, 5538, 5167, 4683, + 2123, 300, 301, 5522, 5132, 4689, 2068, 249, 254, 5925, 4923, 4924, 5457, 304, 305, 5922, 4892, 4893, 5476, 253, + 253, 3214, 3212, 2032, 2033, 313, 314, 3239, 3238, 2022, 2023, 252, 255, 3299, 979, 978, 2036, 266, 265, 3231, + 1057, 1056, 2041, 257, 257, 5926, 5793, 5794, 5898, 298, 299, 5923, 5767, 5768, 5912, 256, 259, 4769, 3953, 3954, + 4251, 309, 310, 4712, 3902, 3904, 4215, 258, 258, 4214, 4909, 4910, 5834, 328, 327, 4243, 4887, 4888, 5837, 260, + 261, 3994, 4651, 4652, 5420, 373, 372, 4023, 4628, 4629, 5352, 262, 263, 5489, 5251, 5252, 4033, 348, 349, 5448, + 5216, 5217, 3995, 261, 266, 3464, 3463, 4634, 2872, 273, 275, 3485, 3484, 4677, 2847, 264, 264, 2846, 2969, 2186, + 2185, 383, 382, 2925, 3007, 2180, 2179, 265, 267, 2161, 986, 985, 5028, 302, 300, 2124, 1127, 1126, 5031, 269, + 268, 3576, 2000, 1999, 2170, 378, 379, 3578, 2006, 2005, 2160, 267, 269, 3467, 3466, 4448, 3588, 277, 278, 3462, + 3460, 4449, 3577, 268, 270, 2727, 3107, 3106, 5026, 341, 339, 2689, 3140, 3139, 5019, 271, 272, 3487, 3486, 4905, + 2703, 279, 281, 3456, 3455, 4891, 2728, 270, 273, 2871, 4118, 4117, 5319, 331, 330, 2833, 4145, 4144, 5321, 274, + 276, 2318, 1178, 1177, 5494, 335, 333, 2298, 1319, 1318, 5492, 278, 277, 3587, 1832, 1831, 2278, 312, 313, 3584, + 1838, 1837, 2319, 276, 279, 2702, 3215, 2037, 2038, 320, 319, 2781, 3298, 2020, 2021, 280, 282, 2999, 4968, 4969, + 5598, 359, 357, 2967, 4995, 4996, 5599, 283, 285, 3269, 4538, 4539, 5349, 355, 354, 3217, 4558, 4559, 5402, 286, + 290, 3598, 3596, 4443, 3438, 291, 293, 3603, 3602, 4439, 3451, 288, 289, 4277, 1534, 1535, 5702, 311, 309, 4250, + 1660, 1661, 5701, 290, 292, 4062, 1366, 1367, 5603, 350, 348, 4032, 1492, 1493, 5601, 293, 294, 2592, 431, 429, + 3667, 365, 363, 2609, 425, 423, 3682, 296, 295, 4000, 3998, 2798, 2589, 318, 320, 4006, 4005, 2788, 2591, 294, + 296, 5924, 5012, 5013, 5523, 301, 302, 5927, 4973, 4974, 5542, 295, 298, 5899, 1810, 1808, 3662, 340, 341, 5905 + ] + +private def ClayworthSurface_face_edge_data_chunk4 : Array (Fin 6048) := + #[ + 1797, 1796, 3697, 297, 297, 4034, 787, 786, 2800, 368, 367, 4012, 865, 864, 2804, 299, 304, 5456, 3759, 3758, + 2832, 330, 332, 5472, 3789, 3788, 2882, 303, 303, 2883, 935, 934, 4686, 344, 343, 2918, 794, 792, 4688, 305, + 306, 3008, 1828, 1829, 5557, 377, 376, 3039, 1702, 1703, 5558, 308, 307, 5046, 5045, 5218, 2968, 357, 358, 5076, + 5075, 5238, 3009, 306, 312, 2277, 4031, 2786, 2787, 370, 369, 2246, 3996, 2801, 2802, 314, 317, 2387, 2386, 4581, + 2085, 366, 368, 2355, 2354, 4544, 2112, 315, 318, 2590, 1670, 1669, 2774, 322, 321, 2570, 1664, 1663, 2782, 319, + 322, 2773, 602, 601, 5428, 338, 336, 2739, 743, 742, 5426, 323, 323, 2367, 2366, 4497, 2627, 342, 344, 2361, + 2359, 4468, 2571, 321, 326, 2536, 2534, 4467, 2335, 375, 377, 2529, 2528, 4479, 2348, 324, 325, 3294, 1870, 1871, + 5838, 353, 351, 3276, 1996, 1997, 5841, 326, 331, 5320, 1965, 1964, 3700, 361, 360, 5309, 1978, 1976, 3683, 332, + 335, 5358, 4542, 4543, 5068, 364, 365, 5373, 4563, 4564, 5054, 334, 337, 4725, 5134, 5133, 2688, 339, 340, 4746, + 5155, 5154, 2738, 336, 342, 2626, 1496, 1495, 2926, 382, 381, 2639, 1502, 1501, 2917, 343, 347, 2385, 2384, 4990, + 2247, 369, 371, 2364, 2363, 4972, 2291, 345, 352, 5514, 3900, 3901, 3218, 354, 356, 5555, 3927, 3928, 3277, 351, + 361, 4252, 595, 594, 2656, 371, 370, 4231, 673, 672, 2660, 362, 364, 4218, 3105, 2654, 2638, 381, 383, 4223, + 3155, 2644, 2608, 363, 366, 2084, 3891, 2657, 2658, 380, 378, 2169, 3937, 2642, 2643, 367, 385, 2169, 2170, 2932, + 2931, 388, 387, 2063, 2064, 2937, 2936, 386, 384, 3707, 944, 943, 3952, 484, 483, 3695, 875, 873, 3937, 385, + 386, 2710, 2711, 3961, 3681, 423, 424, 2680, 2682, 3960, 3706, 384, 389, 2383, 2381, 5461, 4258, 565, 566, 2375, + 2374, 5486, 4229, 387, 388, 2248, 1939, 1940, 3196, 410, 408, 2281, 1848, 1849, 3192, 389, 392, 2370, 2368, 4731, + 4042, 519, 521, 2377, 2376, 4766, 4011, 390, 391, 2082, 1771, 1772, 2933, 401, 400, 2171, 1680, 1681, 2935, 392, + 390, 2226, 2228, 3194, 3193, 404, 403, 2277, 2278, 3182, 3181, 391, 394, 2060, 2062, 2928, 2499, 396, 398, 2092, + 2093, 2930, 2634, 393, 395, 3737, 3736, 5475, 4630, 502, 503, 3745, 3743, 5458, 4660, 394, 397, 2781, 2782, 3963, + 3962, 415, 414, 2683, 2685, 3968, 3967, 398, 396, 2500, 1328, 1327, 3291, 517, 516, 2505, 1259, 1257, 3298, 397, + 399, 3841, 881, 879, 3669, 548, 547, 3843, 920, 919, 3575, 400, 401, 3735, 3734, 5777, 3854, 417, 419, 3742, + 3740, 5783, 3840, 399, 402, 3665, 752, 751, 4063, 481, 480, 3646, 683, 681, 4031, 403, 404, 2854, 2855, 4178, + 3666, 429, 430, 2824, 2826, 4176, 3664, 402, 406, 2925, 2926, 4180, 4179, 421, 420, 2827, 2828, 4185, 4184, 407, + 405, 2493, 1136, 1135, 3042, 568, 567, 2491, 1067, 1065, 3007, 406, 407, 2238, 2239, 3184, 2593, 411, 412, 2229, + 2231, 3191, 2492, 405, 409, 5226, 689, 687, 3702, 550, 551, 5239, 728, 727, 3572, 408, 410, 5116, 5115, 5761 + ] + +private def ClayworthSurface_face_edge_data_chunk5 : Array (Fin 6048) := + #[ + 5259, 427, 428, 5123, 5122, 5764, 5225, 409, 413, 5118, 4750, 4752, 4886, 541, 542, 5125, 4727, 4729, 4898, 412, + 415, 2844, 1603, 1604, 4181, 428, 426, 2927, 1512, 1513, 4183, 416, 416, 3482, 3481, 5058, 3252, 477, 479, 3475, + 3474, 5080, 3232, 414, 418, 2783, 1344, 1345, 3966, 422, 421, 2700, 1435, 1436, 3964, 419, 417, 3855, 1265, 1263, + 2588, 455, 453, 3850, 1304, 1303, 2629, 418, 422, 3470, 3468, 5527, 3018, 474, 476, 3477, 3476, 5552, 2985, 420, + 425, 3739, 3738, 5095, 4967, 499, 500, 3732, 3730, 5060, 4981, 424, 427, 5260, 1073, 1071, 2611, 451, 452, 5267, + 1112, 1111, 2630, 426, 431, 5120, 5119, 5541, 4540, 544, 545, 5114, 5112, 5525, 4566, 430, 434, 3867, 3865, 5795, + 3772, 552, 554, 3873, 3872, 5778, 3823, 432, 433, 3047, 961, 960, 2028, 473, 472, 2978, 1060, 1059, 2026, 434, + 432, 3822, 1615, 1613, 2439, 443, 442, 3833, 1647, 1646, 2333, 433, 435, 2960, 2961, 2018, 2016, 572, 571, 2986, + 2987, 2021, 2019, 436, 437, 3884, 3883, 5640, 3109, 529, 530, 3870, 3869, 5626, 3150, 435, 439, 3430, 4987, 4071, + 2141, 525, 526, 3359, 4957, 4076, 2066, 438, 440, 5183, 1479, 1478, 2330, 447, 448, 5174, 1447, 1445, 2476, 439, + 438, 2067, 4541, 3052, 3051, 538, 537, 2134, 4524, 3050, 3049, 440, 443, 4359, 4583, 3054, 2279, 492, 493, 4335, + 4527, 3059, 2224, 441, 441, 2225, 4966, 4070, 3808, 508, 507, 2267, 4958, 4069, 3832, 442, 445, 3223, 3224, 2190, + 2188, 505, 506, 3230, 3231, 2179, 2178, 444, 446, 5205, 5204, 5732, 4120, 496, 497, 5198, 5197, 5722, 4153, 445, + 449, 5208, 5207, 5770, 5141, 490, 491, 5201, 5199, 5769, 5175, 448, 447, 3262, 1153, 1152, 2192, 458, 457, 3238, + 1252, 1251, 2197, 449, 451, 3178, 3179, 4502, 4048, 501, 502, 3087, 3089, 4506, 3993, 450, 450, 3992, 4121, 4930, + 4929, 520, 519, 4041, 4101, 4937, 4936, 452, 455, 4174, 4175, 4928, 4265, 540, 541, 4103, 4104, 4939, 4213, 454, + 454, 3110, 3111, 4501, 3955, 564, 565, 3084, 3086, 4500, 3849, 453, 456, 2852, 2964, 2031, 2029, 575, 574, 2880, + 3046, 2024, 2022, 457, 458, 3619, 3618, 5627, 2893, 465, 467, 3611, 3610, 5650, 2853, 456, 459, 2317, 1168, 1167, + 3318, 494, 492, 2280, 1316, 1314, 3322, 461, 460, 3558, 1946, 1944, 2325, 570, 572, 3569, 2004, 2003, 2316, 459, + 461, 3616, 3614, 4818, 3510, 469, 470, 3609, 3607, 4817, 3559, 460, 462, 2748, 4724, 3315, 3316, 533, 531, 2687, + 4747, 3305, 3306, 463, 464, 3613, 3612, 5740, 2709, 471, 473, 3606, 3605, 5723, 2749, 462, 465, 2892, 4612, 4285, + 3790, 523, 522, 2831, 4631, 4286, 3792, 466, 469, 3509, 1778, 1776, 2122, 504, 505, 3527, 1836, 1835, 2163, 468, + 468, 2162, 976, 975, 4291, 527, 525, 2142, 1123, 1122, 4289, 470, 471, 2708, 3221, 2194, 2193, 512, 511, 2736, + 3259, 2177, 2176, 472, 474, 3017, 4317, 4585, 4584, 551, 549, 2965, 4337, 4587, 4586, 475, 477, 3251, 3351, 4861, + 3842, 547, 546, 3219, 3358, 4855, 3925, 478, 481, 3393, 1357, 1358, 4862, 503, 501, 3365, 1488, 1490, 4865, 482 + ] + +private def ClayworthSurface_face_edge_data_chunk6 : Array (Fin 6048) := + #[ + 482, 3473, 3471, 4806, 3696, 483, 485, 3480, 3478, 4811, 3647, 480, 484, 4279, 1525, 1526, 4592, 542, 540, 4264, + 1656, 1657, 4590, 485, 487, 4208, 4209, 2785, 2433, 510, 512, 4230, 4231, 2787, 2435, 486, 488, 5203, 5202, 5872, + 4336, 493, 494, 5210, 5209, 5854, 4369, 487, 489, 3173, 769, 768, 2793, 560, 559, 3155, 868, 867, 2790, 491, + 490, 5142, 1783, 1781, 3137, 532, 533, 5156, 1815, 1814, 3172, 489, 495, 2900, 931, 930, 3056, 536, 535, 2920, + 784, 783, 3058, 497, 496, 4119, 4880, 3319, 2830, 522, 524, 4143, 4903, 3303, 2899, 495, 498, 3024, 1824, 1825, + 4504, 569, 568, 3041, 1693, 1694, 4505, 500, 499, 3348, 3349, 4863, 2966, 549, 550, 3391, 3392, 4854, 3025, 498, + 504, 2121, 4283, 2789, 2788, 562, 561, 2090, 4212, 2795, 2794, 506, 509, 2543, 2542, 5596, 2241, 558, 560, 2511, + 2510, 5579, 2268, 507, 510, 2434, 1500, 1499, 2776, 514, 513, 2414, 1442, 1440, 2737, 511, 515, 2523, 2521, 4829, + 2471, 534, 536, 2517, 2515, 4853, 2415, 513, 514, 2775, 592, 591, 4075, 530, 528, 2756, 740, 738, 4073, 515, + 518, 2380, 2378, 4836, 2490, 567, 569, 2373, 2371, 4828, 2504, 516, 517, 3292, 1861, 1862, 4938, 545, 543, 3260, + 1992, 1994, 4942, 518, 523, 3791, 1983, 1982, 3436, 553, 552, 3773, 1951, 1949, 3531, 524, 527, 3861, 3860, 5578, + 3383, 556, 557, 3886, 3885, 5588, 3360, 526, 529, 3108, 4615, 4292, 2686, 531, 532, 3138, 4679, 4287, 2755, 528, + 534, 2470, 1609, 1608, 2881, 574, 573, 2483, 1668, 1667, 2919, 535, 539, 2541, 2540, 5864, 2091, 561, 563, 2520, + 2519, 5853, 2135, 537, 544, 4318, 4320, 4593, 3220, 546, 548, 4390, 4391, 4589, 3261, 543, 553, 4067, 577, 576, + 2649, 563, 562, 4005, 676, 675, 2646, 554, 556, 3382, 3988, 2641, 2482, 573, 575, 3346, 4012, 2643, 2452, 555, + 558, 2240, 3990, 2651, 2650, 571, 570, 2326, 4066, 2645, 2644, 559, 577, 1677, 1676, 3713, 4393, 581, 579, 1560, + 1559, 3768, 4404, 578, 578, 3489, 3488, 4195, 2742, 615, 616, 3483, 3482, 4183, 2648, 576, 581, 1425, 1423, 2566, + 4661, 600, 602, 1459, 1458, 2497, 4654, 580, 580, 1905, 1906, 5385, 4026, 756, 758, 1898, 1899, 5351, 4047, 579, + 584, 1893, 1892, 3905, 4259, 711, 713, 1901, 1900, 3848, 4253, 582, 583, 1579, 1578, 2410, 4406, 593, 592, 1679, + 1678, 2342, 4403, 584, 582, 1398, 1399, 4775, 4774, 596, 595, 1454, 1455, 4772, 4771, 583, 585, 1843, 821, 819, + 2754, 604, 603, 1799, 830, 828, 2741, 586, 587, 1558, 1557, 4402, 1699, 588, 590, 1593, 1592, 4395, 1842, 585, + 586, 5153, 5152, 4605, 4606, 695, 694, 5122, 5121, 4602, 4603, 587, 589, 3523, 3524, 4199, 4200, 608, 607, 3478, + 3479, 4196, 4197, 590, 588, 1700, 1034, 1033, 4157, 709, 708, 1705, 1025, 1023, 4147, 589, 593, 5128, 5129, 4601, + 4148, 609, 610, 5124, 5125, 4592, 4074, 591, 596, 3589, 3590, 3980, 2779, 621, 622, 3599, 3600, 3971, 2655, 594, + 598, 3583, 3582, 3716, 3976, 614, 612, 3602, 3601, 3817, 3985, 599, 597, 1692, 1241, 1240, 4494, 760, 759, 1690 + ] + +private def ClayworthSurface_face_edge_data_chunk7 : Array (Fin 6048) := + #[ + 1202, 1201, 4498, 598, 599, 1412, 1411, 4570, 1798, 603, 605, 1403, 1401, 4561, 1691, 597, 600, 4662, 5892, 5610, + 5473, 619, 618, 4663, 5889, 5603, 5427, 601, 604, 5792, 3853, 3852, 5613, 734, 733, 5784, 3948, 3947, 5611, 605, + 606, 2838, 2837, 3418, 4833, 671, 670, 2831, 2830, 3320, 4811, 607, 608, 3595, 2100, 2101, 3986, 618, 620, 3584, + 2033, 2034, 3970, 606, 611, 3527, 2188, 2189, 4176, 613, 614, 3499, 2256, 2257, 4201, 610, 609, 4149, 1070, 1068, + 1793, 647, 646, 4173, 1037, 1035, 1836, 611, 613, 2826, 2825, 5091, 4456, 666, 668, 2833, 2832, 5029, 4439, 612, + 617, 5156, 3316, 3314, 4585, 691, 692, 5138, 3374, 3373, 4607, 616, 615, 2743, 872, 870, 1797, 623, 621, 2780, + 941, 939, 1815, 617, 619, 5474, 1295, 1293, 1817, 644, 643, 5488, 1238, 1236, 1838, 620, 623, 5905, 5026, 5025, + 4969, 736, 737, 5895, 5063, 5061, 4994, 622, 626, 4088, 4089, 6019, 5145, 744, 746, 4112, 4113, 6025, 5131, 624, + 625, 4466, 1174, 1173, 1524, 665, 664, 4444, 1336, 1335, 1522, 626, 624, 5130, 2137, 1968, 1969, 635, 634, 5181, + 2126, 1854, 1856, 625, 627, 2898, 796, 795, 1967, 638, 636, 2885, 779, 777, 2011, 629, 628, 4431, 4430, 1514, + 1512, 763, 764, 4438, 4437, 1517, 1515, 627, 629, 4097, 4096, 5688, 5254, 721, 722, 4111, 4110, 5675, 5224, 628, + 630, 1562, 5015, 5094, 5261, 730, 729, 1638, 5007, 5092, 5228, 632, 631, 4362, 3826, 3827, 1648, 717, 718, 4347, + 3820, 3821, 1563, 630, 632, 5765, 2282, 1851, 1852, 639, 640, 5754, 2293, 2007, 2008, 631, 635, 5010, 5009, 5262, + 1456, 684, 685, 5006, 5005, 5236, 1396, 633, 633, 1397, 3423, 3424, 5177, 700, 699, 1443, 3419, 3420, 5182, 634, + 638, 5445, 5444, 5830, 5947, 688, 689, 5451, 5450, 5813, 5934, 637, 637, 4795, 3403, 1361, 1360, 697, 698, 4812, + 3394, 1351, 1350, 636, 641, 5439, 5438, 5985, 5900, 682, 683, 5453, 5452, 5990, 5893, 640, 639, 4363, 973, 972, + 1364, 650, 649, 4373, 1093, 1092, 1369, 641, 642, 4262, 5823, 5822, 5431, 712, 711, 4260, 5810, 5809, 5487, 643, + 644, 5187, 3062, 3061, 4226, 693, 695, 5192, 3118, 3117, 4261, 642, 645, 4039, 5194, 4933, 4079, 757, 756, 4025, + 5190, 4943, 4172, 646, 647, 5917, 4692, 4691, 4010, 732, 734, 5921, 4734, 4733, 4040, 645, 648, 3644, 4428, 1527, + 1525, 767, 766, 3570, 4463, 1520, 1519, 649, 650, 2676, 2675, 5676, 3686, 657, 659, 2697, 2696, 5697, 3645, 648, + 651, 1500, 995, 993, 4365, 686, 684, 1457, 1031, 1030, 4389, 653, 652, 2915, 2624, 2625, 1509, 762, 763, 2927, + 2630, 2631, 1499, 651, 653, 2679, 2677, 2992, 2867, 661, 662, 2673, 2671, 2993, 2916, 652, 656, 2699, 2698, 5820, + 3491, 663, 665, 2667, 2666, 5812, 3515, 654, 654, 3514, 3933, 3932, 4366, 725, 723, 3477, 3924, 3923, 4287, 655, + 657, 3685, 5408, 5407, 5119, 715, 714, 3622, 5401, 5400, 5154, 658, 661, 2866, 2468, 2469, 1623, 696, 697, 2884, + 2474, 2475, 1669, 660, 660, 1670, 1196, 1195, 5540, 719, 717, 1649, 1220, 1219, 5554, 662, 663, 3490, 3151, 1365 + ] + +private def ClayworthSurface_face_edge_data_chunk8 : Array (Fin 6048) := + #[ + 1366, 704, 703, 3567, 3142, 1348, 1349, 664, 666, 4455, 5514, 5577, 5425, 742, 741, 4426, 5515, 5576, 5434, 667, + 671, 4319, 4318, 4540, 4072, 738, 739, 4324, 4323, 4537, 4084, 669, 673, 4230, 2193, 2195, 5764, 694, 693, 4225, + 2309, 2310, 5780, 674, 674, 2829, 2827, 2985, 2647, 675, 677, 2836, 2834, 2980, 2661, 672, 676, 4006, 2038, 2039, + 5785, 733, 732, 4009, 2153, 2154, 5756, 677, 680, 5447, 5446, 5580, 5532, 685, 686, 5443, 5442, 5581, 5551, 679, + 678, 1965, 815, 813, 2924, 749, 747, 1983, 809, 807, 2887, 680, 679, 4022, 4021, 3661, 1962, 702, 704, 4062, + 4061, 3699, 1964, 678, 682, 5901, 2448, 2446, 2921, 724, 725, 5888, 2436, 2435, 2786, 681, 688, 5948, 3804, 3802, + 3621, 714, 716, 5928, 3793, 3792, 3701, 687, 690, 4464, 2466, 2465, 4946, 761, 760, 4493, 2347, 2346, 4947, 692, + 691, 4317, 4316, 4762, 4427, 741, 743, 4322, 4321, 4695, 4465, 690, 696, 1622, 4034, 3697, 3698, 754, 753, 1589, + 4018, 3648, 3650, 698, 701, 1745, 1744, 4582, 1414, 750, 752, 1711, 1709, 4562, 1444, 699, 702, 1963, 2318, 2319, + 3561, 706, 705, 1942, 2312, 2313, 3568, 703, 707, 1723, 1721, 3045, 2002, 726, 728, 1717, 1715, 3012, 1943, 705, + 709, 4850, 2503, 2502, 5844, 737, 735, 4837, 2622, 2621, 5843, 710, 710, 1904, 1902, 3011, 1689, 759, 761, 1897, + 1895, 3023, 1704, 708, 715, 5120, 2592, 2591, 2789, 745, 744, 5146, 2604, 2602, 2888, 716, 719, 4095, 4093, 4546, + 4384, 748, 749, 4099, 4098, 4545, 4348, 718, 721, 5253, 5329, 5328, 3476, 723, 724, 5212, 5322, 5321, 3525, 720, + 726, 2001, 2155, 2157, 3571, 766, 765, 2015, 2162, 2163, 3573, 727, 731, 1742, 1741, 5597, 1590, 753, 755, 1720, + 1719, 5587, 1639, 729, 736, 4968, 3164, 3165, 4797, 739, 740, 4971, 3065, 3066, 4838, 735, 748, 4274, 3949, 3444, + 2014, 765, 767, 4279, 3952, 3435, 1982, 747, 750, 1413, 3167, 3166, 3449, 764, 762, 1508, 3173, 3172, 3434, 751, + 769, 1508, 1509, 4394, 4395, 773, 771, 1391, 1392, 4399, 4400, 770, 770, 3498, 3499, 3976, 2886, 807, 808, 3469, + 3470, 3966, 2792, 768, 773, 1592, 1591, 2568, 4781, 793, 794, 1627, 1626, 2484, 4778, 772, 772, 1737, 1738, 5751, + 4245, 949, 950, 1730, 1731, 5748, 4263, 771, 775, 1411, 1410, 2412, 4396, 785, 784, 1511, 1510, 2328, 4398, 776, + 774, 1566, 1567, 4779, 4553, 788, 787, 1622, 1623, 4770, 4570, 775, 776, 1725, 1724, 5214, 4044, 903, 905, 1733, + 1732, 5265, 4035, 774, 779, 3786, 3787, 4868, 4867, 886, 887, 3740, 3741, 4874, 4873, 778, 778, 1389, 1390, 4392, + 1867, 780, 782, 1424, 1425, 4393, 2010, 777, 781, 3567, 3568, 3981, 3980, 800, 798, 3471, 3472, 3978, 3977, 782, + 780, 1868, 1226, 1225, 3154, 901, 900, 1873, 1217, 1215, 3142, 781, 785, 3750, 3751, 4871, 3143, 801, 802, 3744, + 3745, 4862, 3057, 783, 788, 3594, 3595, 4200, 2923, 813, 814, 3592, 3593, 4188, 2799, 786, 791, 1580, 1579, 4771, + 1966, 795, 797, 1570, 1569, 4777, 1859, 789, 790, 3570, 3571, 4194, 4195, 806, 804, 3596, 3597, 4203, 4204, 791 + ] + +private def ClayworthSurface_face_edge_data_chunk9 : Array (Fin 6048) := + #[ + 789, 1860, 1049, 1048, 4495, 952, 951, 1858, 1010, 1008, 4463, 790, 793, 4899, 5295, 5708, 4748, 810, 811, 4906, + 5291, 5702, 4687, 792, 796, 5318, 5256, 5258, 5711, 926, 925, 5289, 5242, 5243, 5709, 797, 800, 3590, 2259, 2260, + 4206, 811, 812, 3578, 2172, 2173, 4187, 799, 799, 2694, 2693, 4379, 4822, 862, 863, 2687, 2686, 4293, 4806, 798, + 801, 3144, 1262, 1260, 1961, 839, 837, 3177, 1229, 1227, 2004, 803, 803, 3569, 2016, 2017, 3960, 805, 806, 3488, + 2103, 2104, 3982, 802, 805, 2682, 2681, 5548, 4474, 858, 860, 2689, 2688, 5495, 4443, 804, 809, 3791, 3790, 4284, + 4861, 883, 884, 3764, 3762, 4345, 4876, 808, 810, 4749, 1103, 1101, 1985, 836, 835, 4768, 1046, 1044, 2006, 812, + 815, 5320, 5319, 5490, 4539, 927, 929, 5303, 5302, 5530, 4565, 814, 817, 4499, 982, 981, 1356, 857, 856, 4437, + 1144, 1143, 1354, 818, 816, 3752, 2269, 1800, 1801, 827, 826, 3831, 2296, 1686, 1688, 817, 818, 3073, 3072, 6029, + 3777, 936, 938, 3101, 3100, 6024, 3753, 816, 821, 3081, 3080, 5969, 3931, 913, 914, 3098, 3097, 5962, 3895, 820, + 820, 3894, 4420, 1346, 1344, 955, 956, 3920, 4444, 1349, 1347, 819, 822, 1394, 4560, 3839, 3838, 922, 921, 1470, + 4547, 3845, 3844, 824, 823, 3431, 5179, 5178, 1480, 909, 910, 3421, 5173, 5171, 1395, 822, 824, 5343, 2140, 1683, + 1684, 831, 832, 5296, 2114, 1839, 1840, 823, 825, 1565, 4386, 4385, 3824, 892, 891, 1611, 4350, 4349, 3830, 826, + 827, 4579, 4580, 3837, 1624, 876, 877, 4549, 4550, 3835, 1564, 825, 829, 4800, 4353, 1530, 1528, 889, 890, 4805, + 4373, 1519, 1518, 828, 830, 4709, 4708, 6006, 5406, 880, 881, 4717, 4716, 6002, 5379, 829, 831, 3405, 1165, 1164, + 1532, 842, 840, 3394, 1285, 1284, 1537, 833, 833, 4702, 4701, 6021, 5310, 874, 875, 4720, 4719, 6020, 5297, 832, + 836, 3959, 3958, 4078, 4008, 885, 886, 3888, 3887, 4127, 4045, 834, 834, 4046, 5366, 5560, 4693, 904, 903, 4043, + 5381, 5567, 4767, 835, 839, 5423, 5422, 5430, 4228, 924, 926, 5375, 5374, 5462, 4257, 838, 838, 3874, 3875, 4508, + 3063, 948, 949, 3896, 3898, 4518, 3176, 837, 842, 2820, 2819, 5963, 3659, 849, 851, 2841, 2840, 5974, 3643, 841, + 841, 3642, 4422, 1359, 1357, 958, 959, 3583, 4498, 1352, 1351, 840, 843, 1668, 1186, 1185, 3429, 878, 876, 1625, + 1223, 1222, 3396, 845, 844, 2771, 2574, 2572, 1676, 954, 955, 2783, 2629, 2628, 1667, 843, 845, 2823, 2821, 3245, + 2723, 853, 854, 2817, 2815, 3244, 2772, 844, 846, 3535, 5255, 3425, 3426, 917, 915, 3475, 5241, 3302, 3303, 847, + 848, 2843, 2842, 6010, 3497, 855, 857, 2811, 2810, 6003, 3536, 846, 849, 3658, 5668, 5096, 3738, 907, 906, 3620, + 5674, 5018, 3788, 850, 853, 2722, 2418, 2416, 1455, 888, 889, 2740, 2473, 2472, 1501, 852, 852, 1502, 1004, 1003, + 5098, 911, 909, 1481, 1028, 1027, 5078, 854, 855, 3496, 4154, 1533, 1534, 896, 895, 3523, 4147, 1516, 1517, 856, + 858, 4473, 5046, 5652, 4685, 934, 933, 4424, 5044, 5653, 4696, 859, 862, 3347, 3348, 4967, 3055, 930, 932, 3342 + ] + +private def ClayworthSurface_face_edge_data_chunk10 : Array (Fin 6048) := + #[ + 3343, 4970, 3067, 861, 866, 2684, 2683, 3232, 2791, 867, 869, 2692, 2690, 3237, 2805, 864, 865, 3346, 2029, 2030, + 5783, 887, 885, 3340, 2150, 2151, 5774, 866, 868, 4223, 2185, 2187, 5656, 925, 924, 4227, 2306, 2307, 5654, 869, + 872, 4711, 4710, 5858, 5093, 877, 878, 4707, 4706, 5856, 5067, 871, 871, 4241, 4242, 3705, 1794, 894, 896, 4277, + 4278, 3698, 1796, 870, 874, 5311, 2423, 2421, 2777, 916, 917, 5288, 2453, 2452, 2642, 873, 880, 5405, 5163, 3398, + 3397, 906, 908, 5368, 5157, 3306, 3304, 879, 882, 3876, 2462, 2463, 4522, 953, 952, 3957, 2338, 2340, 4513, 884, + 883, 3351, 3350, 5483, 4425, 933, 935, 3345, 3344, 5433, 4480, 882, 888, 1454, 4252, 3700, 3699, 946, 945, 1421, + 4238, 3693, 3692, 890, 893, 1913, 1912, 4988, 1582, 942, 944, 1879, 1877, 5014, 1612, 891, 894, 1795, 2161, 2160, + 3562, 898, 897, 1774, 2110, 2109, 3524, 895, 899, 1891, 1889, 3264, 1834, 918, 920, 1885, 1883, 3297, 1775, 897, + 902, 1736, 1734, 3275, 1857, 951, 953, 1729, 1727, 3263, 1872, 900, 901, 4849, 2494, 2496, 5564, 929, 928, 4826, + 2618, 2619, 5570, 902, 907, 3739, 2609, 2608, 2645, 937, 936, 3778, 2579, 2577, 2744, 908, 911, 3079, 3077, 4976, + 3380, 940, 941, 3083, 3082, 4978, 3422, 910, 913, 3930, 5669, 5079, 3474, 915, 916, 3878, 5699, 5019, 3542, 912, + 918, 1833, 2265, 2264, 3582, 959, 957, 1847, 2317, 2316, 3574, 919, 923, 1910, 1909, 5862, 1422, 945, 947, 1888, + 1887, 5873, 1471, 921, 927, 4538, 4165, 4166, 4798, 932, 931, 4536, 4081, 4082, 4827, 928, 940, 3379, 4057, 3433, + 1846, 957, 958, 3393, 4063, 3434, 1814, 939, 942, 1581, 4059, 3442, 3441, 956, 954, 1677, 4067, 3436, 3435, 943, + 961, 2012, 2013, 3708, 4408, 965, 963, 1895, 1896, 3770, 4416, 962, 962, 2389, 2390, 3204, 2127, 999, 1000, 2382, + 2383, 3192, 2027, 960, 965, 1760, 1759, 3626, 4792, 984, 986, 1795, 1794, 3704, 4777, 964, 964, 1569, 1571, 5745, + 3002, 1140, 1142, 1562, 1563, 5742, 3023, 963, 967, 1915, 1914, 3505, 4418, 977, 976, 2015, 2014, 3445, 4402, 968, + 966, 1734, 1735, 4790, 4645, 980, 979, 1790, 1791, 4783, 4664, 967, 968, 1557, 1556, 3907, 3254, 1095, 1097, 1565, + 1564, 3834, 3275, 966, 971, 5181, 5182, 4944, 4943, 1078, 1079, 5115, 5117, 4950, 4949, 970, 969, 1507, 1205, 1203, + 2140, 988, 987, 1463, 1214, 1212, 2126, 971, 970, 1894, 1893, 4403, 1363, 972, 974, 1929, 1928, 4413, 1506, 969, + 973, 2429, 2430, 3199, 3198, 992, 990, 2378, 2379, 3208, 3207, 974, 977, 5137, 5138, 4947, 4364, 993, 994, 5113, + 5114, 4938, 4290, 975, 980, 2558, 2559, 2952, 2167, 1005, 1006, 2525, 2526, 2940, 2035, 978, 982, 2637, 2636, 2946, + 2947, 998, 996, 2528, 2527, 2955, 2956, 983, 983, 1748, 1747, 4787, 1462, 987, 989, 1739, 1737, 4778, 1355, 981, + 984, 4982, 5303, 5564, 5097, 1003, 1002, 4991, 5284, 5558, 5027, 985, 988, 5343, 3844, 3846, 5567, 1118, 1117, 5285, + 3944, 3945, 5565, 989, 991, 2217, 2216, 3162, 4823, 1054, 1055, 2225, 2224, 3060, 4836, 990, 992, 2546, 2544, 2718 + ] + +private def ClayworthSurface_face_edge_data_chunk11 : Array (Fin 6048) := + #[ + 2958, 1002, 1004, 2639, 2638, 2653, 2939, 991, 995, 2434, 2433, 2784, 3191, 997, 998, 2403, 2401, 2864, 3210, 994, + 997, 2231, 2230, 5482, 4458, 1050, 1052, 2223, 2222, 5429, 4479, 996, 999, 2128, 1256, 1254, 1461, 1007, 1005, 2168, + 1325, 1323, 1479, 1001, 1001, 5183, 3049, 3048, 4937, 1075, 1076, 5129, 3121, 3120, 4952, 1000, 1007, 5345, 5344, 5424, + 4629, 1119, 1121, 5295, 5294, 5464, 4659, 1006, 1009, 5135, 2750, 1632, 1633, 1018, 1019, 5153, 2741, 1518, 1520, 1008, + 1010, 4304, 4305, 6045, 5162, 1128, 1130, 4328, 4329, 6046, 5136, 1009, 1013, 4313, 4312, 5964, 5235, 1105, 1106, 4327, + 4326, 5965, 5223, 1012, 1011, 2282, 1180, 1179, 1631, 1022, 1020, 2296, 1162, 1161, 1675, 1013, 1012, 4452, 4453, 1850, + 1848, 1147, 1148, 4493, 4494, 1853, 1851, 1011, 1014, 1898, 4653, 5263, 5262, 1114, 1113, 1974, 4639, 5257, 5256, 1016, + 1015, 4146, 3825, 3824, 1984, 1101, 1102, 4131, 3776, 3774, 1899, 1014, 1016, 5318, 2898, 1515, 1516, 1023, 1024, 5300, + 2874, 1671, 1672, 1015, 1017, 1733, 3171, 3170, 5178, 1084, 1083, 1779, 3126, 3125, 5152, 1019, 1018, 4674, 4675, 5261, + 1792, 1068, 1069, 4641, 4642, 5266, 1732, 1017, 1021, 4820, 3130, 1698, 1696, 1081, 1082, 4849, 3154, 1687, 1686, 1020, + 1022, 5035, 5034, 5815, 5391, 1072, 1073, 5052, 5050, 5814, 5376, 1021, 1025, 5040, 5041, 6039, 5327, 1066, 1067, 5048, + 5049, 6040, 5301, 1024, 1028, 5186, 3301, 3300, 3236, 1077, 1078, 5190, 3377, 3376, 3267, 1026, 1026, 3268, 5371, 5704, + 5022, 1096, 1095, 3253, 5375, 5711, 5077, 1027, 1029, 3015, 5191, 4596, 4295, 1141, 1140, 3001, 5192, 4606, 4388, 1030, + 1031, 5399, 5398, 5496, 2984, 1116, 1118, 5381, 5380, 5528, 3016, 1029, 1032, 2555, 4450, 1863, 1861, 1151, 1150, 2585, + 4466, 1856, 1855, 1033, 1034, 2056, 2055, 5968, 2601, 1041, 1043, 2078, 2077, 5975, 2556, 1032, 1036, 2262, 3585, 3586, + 1845, 1146, 1147, 2281, 3572, 3573, 1835, 1035, 1037, 2059, 2058, 4016, 2315, 1045, 1046, 2053, 2051, 4017, 2263, 1036, + 1038, 2419, 3914, 3913, 4150, 1109, 1107, 2377, 3936, 3935, 4071, 1039, 1040, 2081, 2080, 5819, 2392, 1047, 1049, 2047, + 2045, 5831, 2420, 1038, 1041, 2600, 5679, 4751, 4750, 1099, 1098, 2531, 5686, 4684, 4683, 1042, 1045, 2314, 3557, 3555, + 1959, 1080, 1081, 2327, 3563, 3562, 2005, 1044, 1047, 2391, 3384, 1701, 1702, 1088, 1087, 2480, 3405, 1684, 1685, 1048, + 1050, 4457, 4712, 5625, 5030, 1126, 1125, 4471, 4713, 5624, 5020, 1051, 1054, 4102, 4103, 4886, 4288, 1122, 1124, 4107, + 4108, 4889, 4299, 1053, 1058, 2227, 2226, 4011, 2025, 1059, 1061, 2221, 2220, 4007, 2040, 1056, 1057, 3230, 2794, 2796, + 5761, 1079, 1077, 3235, 2907, 2908, 5773, 1058, 1060, 2979, 2658, 2659, 5661, 1117, 1116, 2983, 2766, 2767, 5665, 1061, + 1062, 1629, 1199, 1197, 2284, 1133, 1131, 1647, 1193, 1191, 2324, 1064, 1063, 2996, 2998, 2485, 1626, 1086, 1088, 3039, + 3040, 2487, 1628, 1062, 1064, 5039, 5038, 5629, 4738, 1069, 1070, 5043, 5042, 5631, 4763, 1063, 1066, 5326, 3538, 2285, + 2286, 1108, 1109, 5287, 3528, 2178, 2180, 1065, 1072, 5390, 3781, 3779, 2530, 1098, 1100, 5369, 3809, 3808, 2610, 1071 + ] + +private def ClayworthSurface_face_edge_data_chunk12 : Array (Fin 6048) := + #[ + 1074, 4441, 3554, 3553, 4609, 1145, 1144, 4438, 3449, 3448, 4601, 1076, 1075, 4101, 4100, 5550, 4472, 1125, 1127, 4106, + 4105, 5499, 4442, 1074, 1080, 1958, 3010, 2489, 2488, 1138, 1137, 1925, 2994, 2495, 2494, 1082, 1085, 1409, 1408, 4904, + 1750, 1134, 1136, 1375, 1373, 4925, 1780, 1083, 1086, 1627, 2918, 2917, 2472, 1090, 1089, 1606, 2870, 2869, 2481, 1087, + 1091, 1387, 1386, 4065, 1666, 1110, 1112, 1381, 1379, 4036, 1607, 1089, 1093, 4805, 3692, 3694, 5708, 1121, 1120, 4809, + 3671, 3672, 5713, 1094, 1094, 1568, 1566, 4035, 1353, 1143, 1145, 1561, 1560, 4047, 1368, 1092, 1099, 5118, 3668, 2175, + 2177, 1129, 1128, 5161, 3688, 2320, 2321, 1100, 1103, 4311, 4309, 4894, 4168, 1132, 1133, 4315, 4314, 4895, 4132, 1102, + 1105, 5234, 5680, 4765, 2376, 1107, 1108, 5211, 5696, 4682, 2431, 1104, 1110, 1665, 2768, 2769, 2586, 1150, 1149, 1679, + 2775, 2776, 2631, 1111, 1115, 1406, 1405, 5651, 1926, 1137, 1139, 1384, 1383, 5638, 1975, 1113, 1119, 4628, 3414, 3416, + 4832, 1124, 1123, 4626, 3312, 3313, 4810, 1120, 1132, 3249, 3248, 2341, 1678, 1149, 1151, 3292, 3291, 2332, 1646, 1131, + 1134, 1749, 3246, 2345, 2347, 1148, 1146, 1844, 3262, 2330, 2331, 1135, 1153, 1844, 1845, 4412, 4413, 1157, 1155, 1727, + 1728, 4409, 4410, 1154, 1154, 2402, 2403, 2947, 2323, 1191, 1192, 2369, 2370, 2935, 2191, 1152, 1157, 1928, 1927, 3634, + 4567, 1176, 1178, 1963, 1962, 3660, 4561, 1156, 1156, 1401, 1402, 5387, 3272, 1332, 1334, 1394, 1395, 5346, 3263, 1155, + 1159, 1747, 1746, 3507, 4414, 1169, 1168, 1847, 1846, 3432, 4392, 1160, 1158, 1902, 1903, 4785, 4784, 1172, 1171, 1958, + 1959, 4788, 4787, 1159, 1160, 1390, 1388, 5219, 3019, 1287, 1289, 1397, 1396, 5237, 3011, 1158, 1162, 3831, 3830, 4517, + 4518, 1271, 1270, 3734, 3733, 4514, 4515, 1163, 1163, 1726, 1725, 4398, 1531, 1164, 1166, 1761, 1760, 4408, 1674, 1161, + 1165, 2480, 2481, 2951, 2952, 1184, 1183, 2371, 2372, 2948, 2949, 1166, 1169, 3763, 3764, 4513, 3428, 1185, 1187, 3731, + 3732, 4505, 3317, 1167, 1172, 2545, 2546, 3198, 2283, 1197, 1198, 2538, 2539, 3187, 2183, 1170, 1175, 1916, 1915, 4664, + 1630, 1179, 1181, 1907, 1905, 4654, 1523, 1173, 1174, 2585, 2586, 3203, 3204, 1189, 1188, 2534, 2535, 3200, 3201, 1175, + 1176, 4568, 5895, 5844, 5539, 1195, 1194, 4569, 5886, 5838, 5493, 1177, 1180, 5765, 5228, 5227, 5809, 1310, 1309, 5762, + 5249, 5248, 5821, 1181, 1184, 2559, 2557, 2862, 3205, 1194, 1196, 2590, 2589, 2797, 3180, 1182, 1182, 2074, 2073, 4163, + 4834, 1247, 1246, 2067, 2066, 4077, 4828, 1183, 1186, 2483, 2482, 2640, 2928, 1190, 1189, 2390, 2388, 2720, 2953, 1187, + 1190, 2062, 2061, 4760, 4476, 1242, 1244, 2069, 2068, 4690, 4467, 1188, 1193, 3833, 3832, 4068, 4500, 1267, 1268, 3751, + 3749, 4129, 4519, 1192, 1199, 5915, 4681, 4680, 4888, 1312, 1313, 5892, 4737, 4736, 4908, 1198, 1200, 3760, 2895, 1464, + 1465, 1211, 1210, 3786, 2885, 1350, 1352, 1201, 1202, 3335, 3336, 6035, 3801, 1320, 1322, 3353, 3354, 6032, 3761, 1200, + 1204, 3889, 4489, 1682, 1680, 1339, 1340, 3957, 4495, 1685, 1683, 1203, 1205, 3328, 3327, 5677, 3912, 1297, 1298, 3357 + ] + +private def ClayworthSurface_face_edge_data_chunk13 : Array (Fin 6048) := + #[ + 3356, 5678, 3890, 1204, 1206, 1730, 4764, 3836, 3837, 1306, 1305, 1806, 4739, 3851, 3853, 1208, 1207, 3141, 5176, 5177, + 1816, 1293, 1294, 3123, 5143, 5144, 1731, 1206, 1208, 5792, 2754, 1347, 1348, 1215, 1216, 5790, 2730, 1503, 1504, 1207, + 1209, 1901, 4169, 4170, 3827, 1276, 1275, 1947, 4133, 4134, 3787, 1210, 1211, 4922, 4921, 3838, 1960, 1260, 1261, 4919, + 4918, 3847, 1900, 1209, 1214, 5511, 5510, 5988, 5940, 1264, 1265, 5517, 5516, 5982, 5933, 1213, 1213, 4847, 4137, 1866, + 1864, 1273, 1274, 4850, 4157, 1855, 1854, 1212, 1217, 5504, 5505, 5987, 5907, 1258, 1259, 5518, 5519, 5989, 5894, 1216, + 1220, 3922, 3921, 4294, 2982, 1269, 1271, 3898, 3897, 4343, 3021, 1218, 1218, 3022, 5920, 5606, 5497, 1288, 1287, 3020, + 5921, 5613, 5553, 1219, 1221, 3273, 3882, 4858, 3309, 1333, 1332, 3271, 3888, 4867, 3395, 1222, 1223, 5811, 5017, 5016, + 3234, 1308, 1310, 5810, 5066, 5064, 3274, 1221, 1224, 2547, 4491, 1695, 1693, 1343, 1342, 2637, 4499, 1688, 1687, 1225, + 1226, 2203, 2202, 5687, 2576, 1233, 1235, 2237, 2236, 5698, 2548, 1224, 1228, 2158, 3581, 3579, 2013, 1338, 1339, 2171, + 3575, 3574, 2003, 1227, 1229, 2209, 2207, 4236, 2107, 1237, 1238, 2215, 2213, 4237, 2159, 1228, 1230, 2444, 5233, 3145, + 3146, 1301, 1299, 2375, 5264, 3053, 3054, 1231, 1232, 2233, 2234, 6011, 2400, 1239, 1241, 2211, 2212, 6005, 2445, 1230, + 1233, 2575, 5393, 5392, 3736, 1291, 1290, 2533, 5411, 5410, 3810, 1234, 1237, 2106, 3512, 3513, 1791, 1272, 1273, 2125, + 3560, 3561, 1837, 1236, 1239, 2399, 4370, 1869, 1870, 1280, 1279, 2429, 4363, 1852, 1853, 1240, 1242, 4475, 5448, 5721, + 5491, 1318, 1317, 4477, 5449, 5720, 5500, 1243, 1247, 3088, 3087, 4630, 3321, 1314, 1315, 3094, 3093, 4627, 3307, 1245, + 1250, 2065, 2063, 4229, 2196, 1251, 1253, 2072, 2070, 4224, 2182, 1248, 1249, 2986, 2650, 2652, 5777, 1270, 1269, 2981, + 2762, 2764, 5781, 1250, 1252, 3239, 2802, 2803, 5763, 1309, 1308, 3233, 2910, 2911, 5782, 1253, 1256, 5513, 5512, 5724, + 5466, 1261, 1262, 5509, 5508, 5725, 5485, 1255, 1255, 3288, 3287, 2498, 1458, 1278, 1280, 3294, 3293, 2488, 1460, 1254, + 1258, 5908, 3517, 2164, 2165, 1300, 1301, 5887, 3541, 2019, 2020, 1257, 1264, 5828, 5148, 3174, 2532, 1290, 1292, 5829, + 5166, 3051, 2587, 1263, 1267, 3086, 3085, 5089, 4478, 1317, 1319, 3091, 3090, 5024, 4440, 1266, 1266, 3880, 3549, 3551, + 4870, 1337, 1336, 3920, 3441, 3443, 4871, 1268, 1272, 1790, 3299, 2486, 2487, 1330, 1329, 1757, 3289, 2501, 2503, 1274, + 1277, 1577, 1576, 4678, 1918, 1326, 1328, 1543, 1541, 4655, 1948, 1275, 1278, 1459, 2773, 2774, 2475, 1282, 1281, 1438, + 2725, 2726, 2430, 1279, 1283, 1555, 1553, 4282, 1498, 1302, 1304, 1549, 1547, 4254, 1439, 1281, 1286, 1400, 1398, 4253, + 1521, 1335, 1337, 1393, 1391, 4263, 1536, 1284, 1285, 4812, 3650, 3649, 5610, 1313, 1311, 4807, 3680, 3679, 5615, 1286, + 1291, 3737, 3703, 2023, 2024, 1321, 1320, 3800, 3657, 2129, 2130, 1292, 1295, 3339, 3337, 4638, 3169, 1324, 1325, 3333, + 3332, 4636, 3124, 1294, 1297, 3911, 5313, 5312, 2374, 1299, 1300, 3879, 5332, 5331, 2454, 1296, 1302, 1497, 2913, 2912 + ] + +private def ClayworthSurface_face_edge_data_chunk14 : Array (Fin 6048) := + #[ + 2636, 1342, 1341, 1511, 2920, 2919, 2628, 1303, 1307, 1574, 1573, 5741, 1758, 1329, 1331, 1552, 1551, 5731, 1807, 1305, + 1312, 4887, 4381, 4382, 4835, 1315, 1316, 4890, 4297, 4298, 4808, 1311, 1324, 3034, 3035, 2329, 1510, 1341, 1343, 3041, + 3042, 2331, 1478, 1323, 1326, 1917, 3037, 2339, 2338, 1340, 1338, 2012, 3047, 2333, 2332, 1327, 1346, 2513, 2514, 2808, + 2806, 1379, 1380, 2509, 2511, 2793, 2792, 1345, 1353, 5265, 5266, 3075, 3076, 1453, 1452, 5199, 5200, 3071, 3073, 1354, + 1355, 2484, 2485, 2813, 2814, 1372, 1371, 2515, 2516, 2809, 2811, 1356, 1359, 5221, 5222, 3070, 3069, 1373, 1374, 5196, + 5198, 3058, 3057, 1358, 1361, 2351, 2352, 2670, 2668, 1386, 1385, 2362, 2364, 2656, 2655, 1362, 1363, 2342, 2341, 2662, + 2664, 1378, 1376, 2366, 2365, 2674, 2676, 1364, 1365, 3152, 5357, 5437, 5436, 1383, 1382, 3153, 5363, 5428, 5427, 1367, + 1368, 5351, 3774, 3775, 5441, 1484, 1483, 5364, 3806, 3807, 5439, 1369, 1372, 2358, 2356, 2677, 2678, 1382, 1384, 2344, + 2343, 2653, 2654, 1370, 1370, 3105, 4217, 5004, 4824, 1430, 1429, 3110, 4213, 4940, 4853, 1371, 1375, 2493, 2492, 2784, + 2785, 1377, 1378, 2508, 2506, 2815, 2816, 1374, 1377, 4209, 4210, 5593, 4460, 1426, 1427, 4214, 4215, 5559, 4497, 1376, + 1381, 5267, 4936, 3048, 3050, 1449, 1450, 5213, 4975, 3077, 3078, 1380, 1387, 5353, 5352, 5424, 3361, 1485, 1487, 5360, + 5359, 5442, 3404, 1385, 1389, 4873, 4875, 6003, 5244, 1494, 1496, 4882, 4883, 6008, 5220, 1388, 1393, 4870, 4869, 5988, + 5150, 1473, 1474, 4885, 4884, 5984, 5139, 1392, 1400, 5615, 5616, 5677, 5316, 1446, 1447, 5619, 5620, 5685, 5306, 1399, + 1403, 5611, 5612, 5676, 5412, 1441, 1442, 5622, 5623, 5693, 5386, 1402, 1406, 5102, 4595, 3300, 2848, 1451, 1453, 5106, + 4635, 3332, 2896, 1404, 1404, 2897, 5278, 5498, 5497, 1466, 1464, 2894, 5280, 5507, 5506, 1405, 1409, 5271, 5270, 5496, + 2706, 1482, 1484, 5277, 5276, 5512, 2747, 1407, 1407, 2746, 5107, 3310, 3309, 1505, 1503, 2729, 5108, 3325, 3323, 1408, + 1412, 3985, 3984, 5985, 2456, 1418, 1420, 4002, 4001, 5992, 2413, 1410, 1414, 3987, 2101, 2102, 4239, 1421, 1422, 3983, + 2104, 2105, 4276, 1413, 1415, 2584, 3783, 3782, 4563, 1477, 1475, 2541, 3829, 3828, 4502, 1416, 1417, 4003, 4004, 6022, + 2567, 1423, 1424, 3977, 3979, 6029, 2583, 1415, 1418, 2457, 5902, 5871, 5202, 1468, 1467, 2387, 5914, 5833, 5252, 1419, + 1426, 4459, 5053, 5054, 5602, 1493, 1491, 4487, 5055, 5056, 5609, 1428, 1430, 4526, 4335, 4336, 4866, 1490, 1489, 4530, + 4331, 4332, 4857, 1431, 1434, 4211, 2090, 2091, 3965, 1436, 1437, 4216, 2084, 2085, 3975, 1433, 1432, 2854, 3193, 3195, + 5769, 1452, 1451, 2849, 3284, 3285, 5776, 1434, 1435, 2701, 2942, 2943, 5779, 1483, 1482, 2707, 3032, 3033, 5759, 1437, + 1439, 5617, 5064, 5065, 5694, 1443, 1444, 5614, 5061, 5062, 5682, 1438, 1441, 5413, 3677, 3675, 4280, 1476, 1477, 5373, + 3667, 3666, 4177, 1440, 1446, 5317, 3917, 3915, 2386, 1467, 1469, 5292, 3956, 3955, 2477, 1445, 1448, 4445, 3691, 3326, + 3328, 1507, 1506, 4412, 3586, 3329, 3331, 1450, 1449, 4524, 4525, 5738, 4488, 1491, 1492, 4528, 4529, 5705, 4446, 1448 + ] + +private def ClayworthSurface_face_edge_data_chunk15 : Array (Fin 6048) := + #[ + 1462, 4788, 3555, 3556, 5503, 1487, 1486, 4813, 3533, 3534, 5511, 1463, 1468, 5203, 3530, 3529, 4180, 1495, 1494, 5245, + 3548, 3547, 4255, 1469, 1471, 4877, 4345, 4346, 4578, 1497, 1498, 4872, 4343, 4344, 4548, 1470, 1473, 5151, 5939, 5863, + 2540, 1475, 1476, 5126, 5946, 5834, 2596, 1472, 1485, 3362, 4670, 4671, 4845, 1489, 1488, 3366, 4597, 4598, 4814, 1486, + 1514, 2507, 2508, 2664, 2663, 1547, 1548, 2518, 2520, 2649, 2648, 1513, 1521, 3848, 3847, 4091, 4092, 1621, 1620, 3872, + 3871, 4087, 4088, 1522, 1523, 2497, 2498, 2669, 2670, 1540, 1539, 2521, 2522, 2665, 2667, 1524, 1527, 3856, 3858, 4086, + 4085, 1541, 1542, 3868, 3870, 4075, 4074, 1526, 1530, 2357, 2358, 2814, 2812, 1553, 1554, 2353, 2355, 2800, 2799, 1529, + 1531, 2328, 2329, 2807, 2808, 1546, 1544, 2359, 2360, 2818, 2820, 1532, 1533, 4155, 5932, 4699, 4698, 1551, 1550, 4156, + 5922, 4688, 4687, 1535, 1536, 5748, 5144, 4703, 4705, 1652, 1651, 5767, 5165, 4700, 4702, 1537, 1540, 2352, 2350, 2821, + 2822, 1550, 1552, 2337, 2336, 2797, 2798, 1538, 1538, 3998, 3999, 4574, 4842, 1599, 1597, 3992, 3993, 4507, 4829, 1539, + 1543, 2500, 2499, 2640, 2641, 1545, 1546, 2514, 2512, 2671, 2672, 1542, 1545, 3988, 3989, 5870, 4484, 1594, 1595, 3994, + 3995, 5839, 4468, 1544, 1549, 3850, 3849, 4068, 4069, 1617, 1618, 3864, 3862, 4093, 4094, 1548, 1555, 5951, 5837, 4680, + 4333, 1653, 1655, 5929, 5855, 4706, 4368, 1554, 1558, 4603, 4604, 5812, 3938, 1662, 1664, 4624, 4625, 5827, 3908, 1556, + 1561, 4609, 4610, 5815, 3784, 1641, 1642, 4621, 4622, 5824, 3769, 1559, 1568, 5713, 5714, 5964, 5903, 1614, 1615, 5716, + 5717, 5967, 5896, 1567, 1570, 5709, 5710, 5963, 5943, 1610, 1609, 5718, 5719, 5972, 5931, 1571, 1572, 2753, 5881, 5023, + 5022, 1634, 1632, 2751, 5882, 5033, 5032, 1573, 1574, 3712, 3711, 4294, 2704, 1619, 1621, 3720, 3719, 4314, 2752, 1572, + 1575, 2890, 3721, 4296, 4295, 1673, 1671, 2873, 3723, 4308, 4306, 1576, 1577, 5876, 5605, 5016, 2850, 1650, 1652, 5880, + 5628, 5038, 2891, 1575, 1580, 4204, 4205, 6021, 2428, 1586, 1588, 4219, 4220, 6026, 2411, 1578, 1582, 4207, 2260, 2261, + 4019, 1589, 1590, 4202, 2257, 2258, 4060, 1581, 1583, 2613, 5149, 5011, 5012, 1645, 1643, 2543, 5180, 4927, 4928, 1584, + 1585, 4221, 4222, 6028, 2569, 1591, 1593, 4197, 4198, 6019, 2612, 1583, 1586, 2427, 5315, 5314, 3885, 1636, 1635, 2385, + 5342, 5341, 3954, 1587, 1594, 4483, 5522, 5523, 5700, 1661, 1659, 4485, 5520, 5521, 5707, 1596, 1599, 4841, 3359, 3360, + 4591, 1657, 1658, 4843, 3363, 3364, 4600, 1598, 1602, 3991, 2240, 2241, 4182, 1604, 1605, 3997, 2246, 2247, 4193, 1601, + 1600, 2710, 2936, 2938, 5778, 1620, 1619, 2705, 3030, 3031, 5787, 1602, 1603, 2845, 3189, 3190, 5768, 1651, 1650, 2851, + 3282, 3283, 5788, 1605, 1607, 5715, 5528, 5529, 5582, 1611, 1612, 5712, 5530, 5531, 5595, 1606, 1610, 5944, 3655, 3653, + 3746, 1644, 1645, 5924, 3682, 3681, 3796, 1608, 1614, 5904, 5232, 4989, 2384, 1635, 1637, 5890, 5250, 4929, 2440, 1613, + 1617, 4958, 4959, 5647, 4486, 1659, 1660, 4955, 4956, 5607, 4447, 1616, 1616, 3724, 3689, 3690, 4313, 1675, 1674, 3708 + ] + +private def ClayworthSurface_face_edge_data_chunk16 : Array (Fin 6048) := + #[ + 3579, 3580, 4302, 1618, 1630, 4783, 3513, 3511, 5037, 1655, 1654, 4815, 3540, 3539, 5035, 1631, 1636, 3886, 3566, 3565, + 3963, 1663, 1662, 3939, 3520, 3518, 4037, 1637, 1639, 4608, 3373, 3375, 4979, 1665, 1666, 4611, 3376, 3378, 5008, 1638, + 1641, 3785, 5395, 5394, 2542, 1643, 1644, 3747, 5421, 5420, 2633, 1640, 1653, 4334, 4915, 4916, 4844, 1658, 1656, 4330, + 4859, 4860, 4816, 1654, 1682, 3624, 3625, 2206, 2204, 1715, 1716, 3617, 3619, 2192, 2191, 1681, 1689, 5237, 5236, 3324, + 3325, 1789, 1788, 5207, 5206, 3334, 3335, 1690, 1691, 3660, 3661, 2199, 2200, 1708, 1707, 3614, 3615, 2210, 2211, 1692, + 1695, 5069, 5213, 3331, 3330, 1709, 1710, 5081, 5210, 3318, 3317, 1694, 1698, 3129, 3453, 2050, 2048, 1721, 1722, 3148, + 3464, 2036, 2035, 1697, 1699, 3445, 3444, 2043, 2044, 1714, 1712, 3466, 3465, 2054, 2056, 1700, 1701, 3385, 5929, 5037, + 5036, 1719, 1718, 3400, 5927, 5028, 5027, 1703, 1704, 5742, 3821, 3819, 5033, 1820, 1819, 5793, 3799, 3798, 5040, 1705, + 1708, 3459, 3457, 2058, 2057, 1718, 1720, 3447, 3446, 2034, 2032, 1706, 1706, 3212, 3213, 4669, 4840, 1767, 1765, 3219, + 3220, 4594, 4818, 1707, 1711, 3665, 3664, 2189, 2190, 1713, 1714, 3638, 3636, 2213, 2214, 1710, 1713, 3224, 3225, 5646, + 4462, 1762, 1763, 3217, 3218, 5604, 4448, 1712, 1717, 5239, 4584, 3314, 3315, 1785, 1786, 5222, 4637, 3337, 3338, 1716, + 1723, 5941, 5598, 5025, 3106, 1821, 1823, 5932, 5630, 5042, 3149, 1722, 1726, 4515, 4516, 6005, 5229, 1830, 1832, 4534, + 4535, 6007, 5215, 1724, 1729, 4522, 4521, 6006, 5169, 1809, 1810, 4533, 4532, 6000, 5140, 1728, 1736, 5570, 5569, 5969, + 5909, 1782, 1783, 5573, 5572, 5960, 5897, 1735, 1739, 5565, 5566, 5968, 5937, 1777, 1778, 5574, 5575, 5971, 5930, 1738, + 1740, 2289, 5884, 4694, 4693, 1802, 1800, 2270, 5880, 4705, 4704, 1741, 1742, 5103, 4926, 3061, 2244, 1787, 1789, 5108, + 4977, 3082, 2288, 1740, 1743, 2133, 5110, 3064, 3063, 1841, 1839, 2113, 5106, 3076, 3074, 1744, 1745, 5877, 5832, 4691, + 2088, 1818, 1820, 5882, 5857, 4710, 2132, 1743, 1748, 2956, 2957, 6039, 3545, 1754, 1756, 2974, 2975, 6041, 3508, 1746, + 1750, 2959, 2718, 2719, 3290, 1757, 1758, 2954, 2720, 2721, 3247, 1749, 1751, 3651, 3815, 3814, 4923, 1813, 1811, 3613, + 3795, 3794, 4854, 1752, 1753, 2976, 2977, 6033, 3627, 1759, 1761, 2949, 2950, 6035, 3652, 1751, 1754, 3544, 5336, 5335, + 5204, 1804, 1803, 3487, 5324, 5323, 5238, 1755, 1762, 4461, 5456, 5457, 5556, 1829, 1827, 4433, 5454, 5455, 5562, 1764, + 1767, 4839, 4119, 4120, 4503, 1825, 1826, 4803, 4115, 4116, 4512, 1766, 1768, 2238, 4184, 4186, 5770, 1788, 1787, 2245, + 4270, 4271, 5786, 1770, 1770, 3222, 2708, 2709, 2934, 1772, 1773, 3216, 2702, 2703, 2945, 1769, 1771, 2083, 3972, 3973, + 5794, 1819, 1818, 2089, 4055, 4056, 5760, 1773, 1775, 5571, 5462, 5463, 5726, 1779, 1780, 5568, 5464, 5465, 5739, 1774, + 1777, 5938, 2616, 2614, 3265, 1812, 1813, 5925, 2594, 2593, 3183, 1776, 1782, 5910, 3942, 3940, 3486, 1803, 1805, 5891, + 3926, 3925, 3564, 1781, 1784, 4469, 2599, 2598, 3081, 1843, 1842, 4394, 2625, 2623, 3070, 1786, 1785, 4724, 4881, 5869 + ] + +private def ClayworthSurface_face_edge_data_chunk17 : Array (Fin 6048) := + #[ + 4434, 1827, 1828, 4721, 4879, 5836, 4470, 1784, 1798, 4770, 2469, 2467, 4699, 1823, 1822, 4851, 2443, 2442, 4709, 1799, + 1804, 5205, 2438, 2437, 3182, 1831, 1830, 5230, 2460, 2458, 3295, 1805, 1807, 4520, 4129, 4130, 4896, 1833, 1834, 4523, + 4127, 4128, 4920, 1806, 1809, 5168, 5415, 5414, 3612, 1811, 1812, 5127, 5403, 5402, 3663, 1808, 1821, 3107, 5002, 5003, + 4804, 1826, 1824, 3102, 4934, 4935, 4852, 1822, 1850, 3637, 3638, 2044, 2042, 1883, 1884, 3604, 3606, 2028, 2027, 1849, + 1857, 3834, 3835, 4307, 4308, 1957, 1956, 3865, 3866, 4303, 4304, 1858, 1859, 3704, 3705, 2049, 2050, 1876, 1875, 3607, + 3608, 2046, 2047, 1860, 1863, 3863, 3864, 4302, 4301, 1877, 1878, 3859, 3861, 4291, 4290, 1862, 1866, 3458, 3459, 2200, + 2198, 1889, 1890, 3454, 3456, 2184, 2183, 1865, 1867, 3432, 3433, 2205, 2206, 1882, 1880, 3460, 3461, 2201, 2203, 1868, + 1869, 4371, 5360, 5503, 5502, 1887, 1886, 4372, 5358, 5494, 5493, 1871, 1872, 5346, 5171, 5172, 5507, 1988, 1987, 5361, + 5159, 5160, 5504, 1873, 1876, 3453, 3452, 2207, 2208, 1886, 1888, 3440, 3439, 2173, 2174, 1874, 1874, 2971, 2973, 4917, + 4825, 1934, 1933, 2965, 2966, 4864, 4817, 1875, 1879, 3707, 3706, 2017, 2018, 1881, 1882, 3625, 3623, 2051, 2052, 1878, + 1881, 2961, 2962, 5737, 4482, 1930, 1931, 2967, 2968, 5703, 4449, 1880, 1885, 3843, 3842, 4284, 4285, 1953, 1954, 3858, + 3857, 4309, 4310, 1884, 1891, 5350, 5349, 5490, 4117, 1989, 1991, 5357, 5356, 5508, 4152, 1890, 1894, 4949, 4951, 5831, + 3918, 1998, 2000, 4961, 4962, 5817, 3906, 1892, 1897, 4946, 4945, 5830, 3812, 1977, 1978, 4965, 4964, 5808, 3771, 1896, + 1904, 5843, 5842, 5688, 5333, 1950, 1951, 5852, 5851, 5672, 5307, 1903, 1907, 5821, 5846, 5687, 5396, 1945, 1946, 5816, + 5849, 5692, 5384, 1906, 1910, 3715, 3714, 4078, 2086, 1955, 1957, 3723, 3722, 4098, 2138, 1908, 1908, 2139, 5282, 5432, + 5431, 1970, 1968, 2136, 5277, 5441, 5440, 1909, 1911, 2294, 3727, 4080, 4079, 2009, 2007, 2292, 3720, 4092, 4090, 1912, + 1913, 5273, 5272, 5430, 2242, 1986, 1988, 5280, 5279, 5446, 2295, 1911, 1916, 3201, 3202, 5987, 3522, 1922, 1924, 3228, + 3229, 5993, 3506, 1914, 1918, 3206, 2862, 2863, 2995, 1925, 1926, 3211, 2864, 2865, 3038, 1917, 1919, 3673, 5170, 4656, + 4657, 1981, 1979, 3611, 5158, 4588, 4589, 1920, 1921, 3226, 3227, 6047, 3635, 1927, 1929, 3207, 3209, 6045, 3674, 1919, + 1922, 3521, 5911, 5639, 3883, 1972, 1971, 3485, 5906, 5600, 3928, 1923, 1930, 4481, 4725, 4726, 5840, 1997, 1995, 4435, + 4722, 4723, 5835, 1932, 1934, 4614, 3108, 3109, 4941, 1994, 1993, 4618, 3103, 3104, 4932, 1935, 1938, 2963, 2852, 2853, + 3197, 1940, 1941, 2970, 2846, 2847, 3186, 1937, 1936, 2092, 3967, 3969, 5795, 1956, 1955, 2087, 4053, 4054, 5775, 1938, + 1939, 2249, 4190, 4191, 5766, 1987, 1986, 2243, 4272, 4273, 5789, 1941, 1943, 5845, 4733, 4732, 5632, 1947, 1948, 5847, + 4736, 4735, 5648, 1942, 1945, 5397, 2582, 2580, 3043, 1980, 1981, 5372, 2635, 2634, 2929, 1944, 1950, 5334, 5247, 4676, + 3484, 1971, 1973, 5293, 5240, 4586, 3532, 1949, 1952, 3728, 2606, 2607, 4097, 2011, 2010, 3713, 2572, 2573, 4086, 1954 + ] + +private def ClayworthSurface_face_edge_data_chunk18 : Array (Fin 6048) := + #[ + 1953, 4612, 4613, 5594, 4436, 1995, 1996, 4616, 4617, 5561, 4496, 1952, 1966, 4772, 2416, 2417, 5437, 1991, 1990, 4830, + 2450, 2451, 5445, 1967, 1972, 3884, 2479, 2478, 2932, 1999, 1998, 3919, 2426, 2424, 3013, 1973, 1975, 4953, 3120, 3122, + 4673, 2001, 2002, 4948, 3117, 3119, 4640, 1974, 1977, 3813, 5945, 5649, 3610, 1979, 1980, 3748, 5942, 5599, 3684, 1976, + 1989, 4118, 4575, 4576, 4802, 1993, 1992, 4114, 4509, 4510, 4831, 1990, 2025, 4766, 4765, 3916, 3917, 2120, 2119, 4719, + 4718, 3866, 3867, 2026, 2031, 4744, 4745, 3919, 3918, 2045, 2046, 4715, 4717, 3841, 3840, 2030, 2037, 3893, 4142, 5938, + 5937, 2055, 2054, 3929, 4111, 5936, 5935, 2039, 2040, 4171, 3779, 3780, 5939, 2145, 2144, 4113, 3797, 3799, 5926, 2041, + 2043, 3949, 4275, 5592, 3256, 2097, 2098, 3874, 4257, 5571, 3297, 2042, 2049, 4242, 4240, 4983, 3004, 2094, 2095, 4262, + 4261, 4948, 3045, 2048, 2053, 4768, 4767, 3846, 3845, 2116, 2117, 4742, 4741, 3860, 3859, 2052, 2059, 4173, 4172, 4944, + 3420, 2147, 2148, 4140, 4138, 4973, 3400, 2057, 2060, 4660, 5802, 5723, 4757, 2156, 2155, 4673, 5807, 5737, 4759, 2061, + 2065, 5781, 5800, 5724, 5276, 2136, 2137, 5755, 5808, 5729, 5305, 2064, 2072, 5782, 5958, 4636, 4635, 2113, 2114, 5772, + 5960, 4650, 4648, 2071, 2075, 5733, 5956, 4634, 4160, 2108, 2110, 5739, 5961, 4669, 4162, 2073, 2078, 5269, 5268, 3313, + 3311, 2118, 2120, 5317, 5316, 3327, 3326, 2076, 2076, 3691, 5109, 5501, 5500, 2131, 2129, 3656, 5149, 5544, 5543, 2077, + 2079, 3533, 5281, 3308, 3307, 2166, 2164, 3516, 5315, 3390, 3389, 2080, 2081, 5101, 5100, 5499, 3494, 2143, 2145, 5151, + 5150, 5510, 3534, 2079, 2094, 3003, 4347, 4348, 5952, 2154, 2152, 3032, 4351, 4352, 5955, 2096, 2097, 3255, 4549, 5093, + 5799, 2151, 2149, 3284, 4531, 5082, 5796, 2099, 2100, 3594, 4553, 4780, 6020, 2119, 2118, 3639, 4530, 4845, 6023, 2102, + 2103, 3489, 4404, 4405, 6025, 2144, 2143, 3495, 4487, 4488, 6018, 2105, 2107, 5959, 4382, 4380, 4670, 2111, 2112, 5957, + 4340, 4338, 4646, 2106, 2108, 4161, 2877, 2875, 4232, 2139, 2138, 4099, 2924, 2923, 4199, 2109, 2116, 4547, 4548, 6009, + 3033, 2152, 2153, 4551, 4552, 5995, 2989, 2115, 2115, 2988, 2897, 2896, 3333, 2168, 2167, 2951, 2869, 2868, 3387, 2117, + 2127, 3203, 2769, 2770, 5546, 2148, 2146, 3240, 2746, 2747, 5513, 2128, 2132, 4711, 2743, 2742, 4194, 2157, 2156, 4758, + 2761, 2760, 4234, 2133, 2135, 5803, 5060, 5059, 4577, 2158, 2159, 5801, 5089, 5088, 4525, 2134, 2147, 3419, 5694, 5695, + 3285, 2149, 2150, 3341, 5658, 5659, 3241, 2146, 2182, 3175, 3174, 5147, 5395, 2275, 2276, 3100, 3099, 5159, 5362, 2181, + 2186, 3134, 3136, 5397, 5396, 2202, 2201, 3096, 3098, 5348, 5347, 2187, 2194, 5378, 5471, 5230, 5229, 2212, 2210, 5404, + 5451, 5226, 5225, 2195, 2196, 5486, 5312, 5231, 5232, 2301, 2300, 5452, 5325, 5206, 5208, 2197, 2199, 4021, 4020, 4573, + 3281, 2253, 2254, 4046, 4045, 4523, 3264, 2198, 2205, 4057, 4058, 5859, 3029, 2250, 2251, 4039, 4040, 5845, 3012, 2204, + 2209, 3177, 3176, 4517, 4349, 2272, 2273, 3133, 3131, 4542, 4372, 2208, 2215, 5488, 5487, 5227, 5092, 2303, 2304, 5469 + ] + +private def ClayworthSurface_face_edge_data_chunk19 : Array (Fin 6048) := + #[ + 5468, 5209, 5081, 2214, 2218, 5641, 5662, 4891, 3159, 2311, 2312, 5648, 5673, 4917, 3161, 2216, 2221, 5665, 5666, 4895, + 3719, 2292, 2293, 5671, 5672, 4912, 3767, 2219, 2227, 5773, 5998, 5629, 5628, 2270, 2269, 5771, 6000, 5637, 5635, 2228, + 2229, 4898, 5996, 5627, 5479, 2266, 2265, 4896, 6001, 5646, 5481, 2230, 2232, 3540, 5883, 4300, 4299, 2287, 2285, 3537, + 5902, 4375, 4374, 2234, 2233, 3710, 3709, 5024, 3492, 2274, 2275, 3785, 3784, 5034, 3539, 2232, 2235, 3689, 3725, 5021, + 5020, 2322, 2320, 3687, 3783, 5074, 5072, 2236, 2237, 5875, 5874, 4298, 3640, 2299, 2301, 5904, 5903, 4312, 3690, 2235, + 2250, 3028, 5006, 5532, 5991, 2310, 2308, 3030, 4954, 5533, 5977, 2252, 2253, 3280, 3421, 3422, 5655, 2307, 2305, 3282, + 3401, 3402, 5660, 2255, 2256, 3498, 4400, 4401, 6024, 2276, 2274, 3493, 4485, 4486, 6027, 2258, 2259, 3589, 4774, 4776, + 5990, 2300, 2299, 3641, 4843, 4844, 5976, 2261, 2263, 5999, 5550, 5549, 4959, 2267, 2268, 5997, 5525, 5524, 4980, 2262, + 2266, 5480, 2905, 2903, 3726, 2294, 2295, 5447, 2887, 2886, 3716, 2264, 2271, 2990, 2890, 2891, 5039, 2324, 2323, 2946, + 2912, 2914, 5071, 2273, 2272, 4350, 5582, 5973, 3031, 2308, 2309, 4325, 5583, 5954, 2991, 2271, 2283, 3199, 2726, 2724, + 4377, 2304, 2302, 3242, 2753, 2752, 4315, 2284, 2288, 3083, 2780, 2779, 3981, 2313, 2311, 3160, 2733, 2731, 4013, 2289, + 2291, 5664, 3372, 3370, 4913, 2314, 2315, 5667, 3416, 3415, 4915, 2290, 2303, 5007, 5008, 5826, 3283, 2305, 2306, 4992, + 4993, 5797, 3243, 2302, 2335, 4690, 4689, 3388, 3390, 2427, 2428, 4701, 4700, 3352, 3353, 2334, 2339, 4383, 4742, 3387, + 3386, 2354, 2353, 4368, 4707, 3429, 3428, 2340, 2345, 3381, 5469, 4377, 4376, 2363, 2362, 3404, 5443, 4365, 4364, 2346, + 2348, 5429, 3755, 3754, 4375, 2457, 2456, 5438, 3807, 3805, 4328, 2349, 2351, 3403, 4794, 5693, 3279, 2407, 2408, 3342, + 4798, 5657, 3245, 2350, 2357, 4353, 4801, 5972, 3006, 2404, 2405, 4324, 4797, 5953, 2992, 2356, 2361, 4686, 4685, 3427, + 3425, 2425, 2426, 4745, 4743, 3356, 3355, 2360, 2367, 5426, 5425, 4367, 3932, 2459, 2460, 5471, 5470, 4326, 3934, 2365, + 2369, 4519, 4520, 5731, 4698, 2467, 2468, 4554, 4555, 5736, 4730, 2368, 2373, 4504, 4503, 5732, 5335, 2447, 2448, 4557, + 4556, 5717, 5337, 2372, 2380, 4942, 4941, 5640, 5639, 2422, 2423, 4999, 4998, 5620, 5618, 2379, 2382, 4952, 4953, 5638, + 5436, 2417, 2418, 5000, 5001, 5645, 5460, 2381, 2389, 4416, 4417, 6046, 2758, 2396, 2398, 4433, 4434, 6043, 2721, 2388, + 2392, 4419, 3505, 3506, 4848, 2399, 2400, 4415, 3507, 3508, 4819, 2391, 2395, 4435, 4436, 6030, 2865, 2401, 2402, 4410, + 4411, 6032, 2902, 2393, 2393, 2901, 3813, 3812, 5444, 2451, 2449, 2843, 3718, 3717, 5433, 2394, 2396, 2757, 5168, 5169, + 4708, 2442, 2441, 2699, 5104, 5105, 4695, 2397, 2404, 3005, 5948, 5947, 4945, 2465, 2464, 2974, 5919, 5918, 4935, 2406, + 2407, 3278, 5405, 5406, 4521, 2463, 2461, 3228, 5418, 5419, 4510, 2409, 2411, 4799, 3496, 3497, 4397, 2412, 2413, 4796, + 3490, 3491, 4407, 2410, 2415, 4940, 4939, 5642, 5643, 2419, 2420, 4951, 4950, 5621, 5622, 2414, 2422, 5911, 3158, 3157 + ] + +private def ClayworthSurface_face_edge_data_chunk20 : Array (Fin 6048) := + #[ + 2698, 2441, 2443, 5885, 3068, 3067, 2778, 2421, 2425, 5255, 5806, 5861, 2975, 2464, 2466, 5195, 5805, 5835, 3014, 2424, + 2445, 4516, 4514, 5416, 5718, 2470, 2471, 4507, 4506, 5383, 5734, 2444, 2447, 5336, 4158, 4159, 2842, 2449, 2450, 5283, + 4083, 4084, 2922, 2446, 2459, 3933, 5591, 5590, 3229, 2461, 2462, 3877, 5563, 5562, 3296, 2458, 2490, 3060, 3059, 5073, + 5074, 2584, 2583, 3072, 3071, 5047, 5048, 2491, 2495, 3132, 3133, 5071, 5070, 2510, 2509, 3078, 3079, 5098, 5097, 2496, + 2501, 4139, 4140, 5546, 5545, 2519, 2518, 4094, 4095, 5540, 5539, 2502, 2504, 4077, 4076, 5298, 5544, 2613, 2612, 4089, + 4087, 5330, 5518, 2505, 2507, 4430, 4432, 5827, 3258, 2563, 2564, 4424, 4425, 5798, 3244, 2506, 2513, 4420, 4421, 6008, + 3027, 2560, 2561, 4426, 4427, 5994, 2993, 2512, 2517, 3056, 3055, 5095, 5096, 2581, 2582, 3136, 3135, 5050, 5051, 2516, + 2523, 4073, 4072, 5541, 5407, 2615, 2616, 4142, 4141, 5516, 5409, 2522, 2525, 4659, 5568, 4925, 3069, 2623, 2624, 4672, + 5584, 4900, 3115, 2524, 2529, 5557, 5556, 4924, 3814, 2603, 2604, 5586, 5585, 4884, 3816, 2527, 2536, 5841, 5840, 4658, + 4656, 2578, 2579, 5867, 5866, 4622, 4620, 2535, 2538, 4908, 5847, 4655, 4085, 2573, 2574, 4897, 5868, 4668, 4125, 2537, + 2545, 4784, 4786, 5989, 2735, 2552, 2554, 4803, 4804, 5981, 2719, 2544, 2548, 4789, 3634, 3635, 4451, 2555, 2556, 4793, + 3626, 3627, 4492, 2547, 2549, 2878, 5334, 5333, 4096, 2607, 2605, 2841, 5275, 5274, 4082, 2550, 2551, 4618, 4802, 6037, + 2863, 2557, 2558, 4645, 4791, 6040, 2879, 2549, 2552, 2734, 5910, 5909, 3080, 2598, 2597, 2697, 5879, 5878, 3066, 2553, + 2560, 3026, 5253, 5254, 5842, 2621, 2620, 2976, 5188, 5189, 5836, 2562, 2563, 3257, 3930, 3931, 5569, 2619, 2617, 3226, + 3950, 3951, 5561, 2565, 2567, 4423, 3642, 3643, 4782, 2568, 2569, 4429, 3644, 3645, 4773, 2566, 2571, 5839, 5217, 4665, + 4666, 2575, 2576, 5846, 5248, 4623, 4624, 2570, 2578, 5170, 4756, 4754, 2696, 2597, 2599, 5111, 4697, 4696, 2745, 2577, + 2581, 5668, 4985, 4986, 2977, 2620, 2622, 5670, 4931, 4932, 3044, 2580, 2601, 5566, 3945, 3943, 4882, 2626, 2627, 5559, + 3904, 3903, 4901, 2600, 2603, 3815, 5478, 5477, 2840, 2605, 2606, 3729, 5435, 5434, 2889, 2602, 2615, 5408, 4571, 4572, + 3227, 2617, 2618, 5367, 4511, 4512, 3266, 2614, 2647, 5552, 5328, 3941, 3942, 2734, 2735, 5519, 5330, 3871, 3873, 2646, + 2651, 5377, 5537, 3939, 3938, 2666, 2665, 5409, 5517, 3855, 3854, 2652, 2657, 3892, 4358, 5413, 5412, 2675, 2674, 3934, + 4327, 5355, 5354, 2659, 2661, 4387, 3802, 3803, 5415, 2757, 2758, 4329, 3805, 3806, 5365, 2660, 2662, 3248, 3250, 5645, + 4269, 2716, 2715, 3273, 3274, 5617, 4254, 2663, 2669, 3287, 3286, 4668, 4028, 2712, 2713, 3268, 3267, 4611, 4065, 2668, + 2673, 5554, 5553, 3852, 3851, 2732, 2733, 5535, 5534, 3869, 3868, 2672, 2679, 4389, 4388, 4605, 3125, 2759, 2761, 4356, + 4354, 4632, 3153, 2678, 2680, 4981, 5803, 5853, 5545, 2770, 2768, 4979, 5825, 5870, 5547, 2681, 2684, 5774, 5799, 5858, + 5857, 2751, 2750, 5757, 5824, 5866, 5865, 2685, 2692, 5654, 5655, 4978, 4977, 2729, 2730, 5684, 5685, 4998, 4997, 2691 + ] + +private def ClayworthSurface_face_edge_data_chunk21 : Array (Fin 6048) := + #[ + 2695, 5663, 5664, 4972, 4376, 2724, 2725, 5682, 5683, 5004, 4378, 2693, 2712, 4027, 4131, 4132, 5666, 2767, 2765, 4055, + 4135, 4136, 5659, 2714, 2716, 4268, 4919, 5466, 5800, 2764, 2763, 4270, 4878, 5467, 5797, 2717, 2723, 5657, 4166, 4164, + 5002, 2727, 2728, 5662, 4124, 4122, 5000, 2722, 2732, 4739, 4920, 5980, 4056, 2765, 2766, 4714, 4907, 5977, 4014, 2731, + 2749, 5802, 5458, 5459, 4897, 2771, 2772, 5798, 5483, 5484, 4881, 2748, 2759, 3126, 5726, 5970, 4271, 2763, 2762, 3095, + 5727, 5955, 4235, 2760, 2791, 5080, 5079, 5246, 5247, 2878, 2879, 5049, 5047, 5200, 5201, 2790, 2795, 5084, 5085, 5245, + 5244, 2810, 2809, 5051, 5052, 5260, 5259, 2796, 2801, 3408, 3410, 5944, 5943, 2819, 2818, 3355, 3357, 5950, 5949, 2803, + 2805, 3399, 3398, 5164, 5945, 2901, 2902, 3354, 3352, 5165, 5923, 2804, 2807, 3035, 3036, 5736, 4052, 2859, 2860, 3015, + 3016, 5715, 4036, 2806, 2813, 2998, 2997, 4900, 4247, 2856, 2857, 3022, 3021, 4872, 4282, 2812, 2817, 5078, 5077, 5258, + 5257, 2876, 2877, 5087, 5086, 5197, 5196, 2816, 2823, 3396, 3395, 4868, 4134, 2904, 2905, 3413, 3412, 4892, 4156, 2822, + 2824, 4566, 5997, 5579, 5070, 2914, 2913, 4578, 6004, 5593, 5090, 2825, 2829, 5780, 5991, 5580, 5279, 2894, 2895, 5791, + 5984, 5585, 5304, 2828, 2836, 5756, 5952, 4545, 3722, 2873, 2874, 5758, 5967, 4556, 3766, 2835, 2839, 5589, 5957, 4544, + 3386, 2868, 2870, 5595, 5966, 4574, 3417, 2837, 2856, 4246, 3123, 3124, 5958, 2911, 2909, 4272, 3127, 3128, 5954, 2858, + 2859, 4051, 4641, 4738, 5998, 2908, 2906, 4053, 4619, 4740, 5995, 2861, 2867, 5953, 3165, 3163, 4575, 2871, 2872, 5956, + 3114, 3112, 4554, 2866, 2876, 4639, 4640, 5818, 4273, 2909, 2910, 4643, 4644, 5796, 4233, 2875, 2893, 5996, 4729, 4728, + 4672, 2915, 2916, 5994, 4762, 4761, 4613, 2892, 2904, 4133, 5632, 5691, 4054, 2906, 2907, 4109, 5633, 5660, 4015, 2903, + 2934, 5740, 5414, 3803, 3804, 3005, 3006, 5719, 5416, 3733, 3735, 2933, 2937, 5305, 5730, 3800, 3801, 2950, 2948, 5337, + 5716, 3822, 3823, 2938, 2941, 3767, 4911, 5326, 5327, 2957, 2955, 3816, 4885, 5339, 5340, 2943, 2945, 4905, 3940, 3941, + 5329, 3026, 3027, 4883, 3943, 3944, 5286, 2944, 2954, 5741, 5032, 3819, 3820, 3003, 3004, 5728, 5059, 3730, 3731, 2953, + 2959, 4904, 3323, 3324, 5005, 3028, 3029, 4914, 3370, 3371, 4991, 2958, 2960, 3150, 6017, 4731, 4730, 3036, 3034, 3169, + 6015, 4760, 4759, 2962, 2963, 5775, 5691, 4732, 4734, 3020, 3019, 5750, 5678, 4743, 4744, 2964, 2970, 5789, 5818, 3119, + 3118, 3001, 3002, 5746, 5814, 3135, 3134, 2969, 2972, 4753, 6012, 3116, 3115, 2997, 2996, 4763, 6014, 3162, 3161, 2973, + 2995, 6037, 4576, 3163, 3164, 2999, 3000, 6036, 4543, 3131, 3132, 2994, 3018, 6031, 5578, 4741, 4383, 3037, 3038, 6030, + 5594, 4761, 4316, 3017, 3075, 4642, 4051, 4052, 4555, 3112, 3113, 4663, 3986, 3987, 4582, 3074, 3084, 4258, 6016, 5722, + 5086, 3168, 3167, 4276, 6018, 5738, 5088, 3085, 3088, 4834, 5983, 5725, 5356, 3152, 3151, 4796, 5992, 5735, 5383, 3089, + 3094, 4835, 5959, 4236, 3452, 3129, 3130, 4821, 5971, 4249, 3503, 3092, 3096, 3461, 3462, 5492, 5491, 3147, 3145, 3519 + ] + +private def ClayworthSurface_face_edge_data_chunk22 : Array (Fin 6048) := + #[ + 3520, 5537, 5536, 3097, 3101, 3437, 3438, 5495, 5133, 3156, 3158, 3521, 3522, 5505, 5160, 3099, 3121, 5128, 4406, 4407, + 5820, 3157, 3156, 5134, 4481, 4482, 5807, 3122, 3143, 3443, 3442, 4167, 5535, 3160, 3159, 3455, 3454, 4152, 5509, 3144, + 3149, 5043, 4149, 4148, 3448, 3166, 3168, 5087, 4161, 4160, 3463, 3148, 3186, 4677, 4676, 5246, 5669, 3257, 3258, 4625, + 4623, 5249, 5689, 3185, 3188, 4648, 4649, 5908, 5907, 3202, 3200, 4620, 4621, 5913, 5912, 3190, 3194, 5635, 5636, 5161, + 5162, 3209, 3208, 5618, 5619, 5174, 5175, 3195, 3197, 5650, 5649, 5164, 5163, 3278, 3279, 5623, 5621, 5117, 5116, 3196, + 3206, 4678, 4306, 4307, 4550, 3255, 3256, 4647, 4338, 4339, 4569, 3205, 3211, 5651, 5506, 5172, 5173, 3280, 3281, 5634, + 5524, 5112, 5113, 3210, 3214, 5476, 5978, 4126, 4125, 3286, 3288, 5485, 5983, 4163, 4162, 3213, 3216, 5760, 5980, 4128, + 3887, 3271, 3272, 5749, 5982, 4141, 3893, 3215, 3222, 5786, 5970, 5463, 5374, 3253, 3254, 5747, 5965, 5470, 5378, 3221, + 3223, 4153, 6016, 5461, 5460, 3250, 3249, 4168, 6013, 5482, 5481, 3225, 3247, 6043, 5869, 5484, 3350, 3251, 3252, 6042, + 5854, 5468, 3381, 3246, 3270, 5979, 4974, 4138, 4139, 3289, 3290, 5981, 5003, 4164, 4165, 3269, 3319, 5299, 5478, 3651, + 3652, 3336, 3334, 5325, 5453, 3646, 3647, 3320, 3321, 5475, 5392, 3654, 3655, 3410, 3409, 5450, 5404, 3615, 3616, 3322, + 3329, 3585, 4980, 5634, 4573, 3368, 3367, 3599, 4994, 5614, 4562, 3330, 3339, 5474, 5473, 3649, 3648, 3411, 3413, 5480, + 5479, 3618, 3617, 3338, 3347, 4822, 6038, 5856, 5855, 3385, 3384, 4819, 6041, 5861, 5860, 3349, 3368, 4020, 4022, 5551, + 5986, 3418, 3417, 3999, 4000, 5542, 5979, 3369, 3374, 5137, 4418, 4419, 5819, 3389, 3388, 5132, 4483, 4484, 5825, 3375, + 3377, 4025, 4026, 5744, 5813, 3409, 3408, 3996, 3997, 5788, 5826, 3378, 3380, 6034, 5548, 5547, 3989, 3382, 3383, 6031, + 5527, 5526, 4058, 3379, 3411, 4018, 4019, 5976, 4916, 3415, 3414, 4023, 4024, 5978, 4893, 3412, 3451, 5029, 3758, 3757, + 4158, 3544, 3545, 5041, 3798, 3797, 4112, 3450, 3458, 4137, 4846, 5692, 4030, 3500, 3501, 4107, 4832, 5667, 4016, 3457, + 3467, 5031, 5030, 4151, 3913, 3546, 3548, 5085, 5083, 4110, 3929, 3465, 3469, 4876, 4877, 5873, 5502, 3556, 3557, 4913, + 4914, 5859, 5526, 3468, 3473, 4865, 4866, 5872, 5871, 3537, 3538, 4911, 4912, 5851, 5850, 3472, 3480, 4590, 4591, 5588, + 5314, 3516, 3517, 4649, 4650, 5572, 5338, 3479, 3483, 4607, 4608, 5587, 5036, 3511, 3512, 4646, 4647, 5592, 5057, 3481, + 3500, 4029, 5390, 5391, 4610, 3553, 3552, 4002, 5388, 5389, 4598, 3502, 3503, 4248, 5828, 5940, 4869, 3551, 3550, 4219, + 5804, 5916, 4860, 3504, 3510, 4594, 4593, 5382, 5591, 3514, 3515, 4604, 4602, 5417, 5574, 3509, 3519, 5233, 5734, 5735, + 4001, 3552, 3554, 5193, 5706, 5707, 4038, 3518, 3536, 4875, 4874, 5848, 5816, 3558, 3559, 4864, 4863, 5860, 5806, 3535, + 3546, 3914, 5643, 5644, 4220, 3550, 3549, 3881, 5608, 5609, 4256, 3547, 3577, 5703, 5218, 4984, 4985, 3658, 3659, 5710, + 5243, 4960, 4961, 3576, 3581, 4577, 5728, 4983, 4341, 3591, 3592, 4565, 5712, 5014, 4301, 3580, 3588, 5604, 3901, 3899 + ] + +private def ClayworthSurface_face_edge_data_chunk23 : Array (Fin 6048) := + #[ + 4571, 3685, 3686, 5612, 3947, 3946, 4534, 3587, 3598, 5701, 5700, 5013, 5011, 3656, 3657, 5730, 5729, 4964, 4963, 3597, + 3603, 5601, 5602, 4564, 3782, 3687, 3688, 5636, 5637, 4532, 3818, 3601, 3604, 4310, 4311, 4749, 4748, 3694, 3693, 4355, + 4356, 4758, 4757, 3605, 3609, 4289, 4288, 4752, 4751, 3676, 3677, 4358, 4357, 4716, 4715, 3608, 3624, 4489, 4490, 6007, + 4050, 3631, 3632, 4471, 4472, 5999, 4017, 3623, 3628, 4266, 3911, 3912, 5616, 3679, 3678, 4221, 3909, 3910, 5607, 3630, + 3629, 4477, 4478, 5801, 4237, 3636, 3637, 4453, 4454, 5817, 4267, 3628, 3631, 4049, 5234, 5235, 5714, 3672, 3670, 4003, + 5184, 5185, 5705, 3633, 3654, 5393, 4666, 4667, 4004, 3670, 3671, 5370, 4599, 4600, 4064, 3653, 3674, 4305, 4303, 4718, + 4720, 3695, 3696, 4293, 4292, 4755, 4756, 3673, 3676, 5679, 4901, 4902, 4222, 3678, 3680, 5681, 4856, 4857, 4281, 3675, + 3742, 3964, 3965, 5864, 5863, 3780, 3781, 4029, 4030, 5849, 5848, 3741, 3744, 3982, 3983, 5862, 5440, 3775, 3776, 4027, + 4028, 5868, 5459, 3743, 3750, 4396, 4397, 6010, 4159, 3757, 3759, 4461, 4462, 6001, 4130, 3749, 3753, 4401, 4399, 5139, + 5791, 3760, 3761, 4411, 4409, 5140, 5771, 3752, 3756, 4459, 4460, 6004, 4346, 3762, 3763, 4414, 4415, 6011, 4374, 3754, + 3766, 4557, 5901, 5900, 3984, 3817, 3818, 4533, 5899, 5898, 3973, 3765, 3769, 5757, 5135, 5136, 4417, 3770, 3771, 5755, + 5130, 5131, 4405, 3768, 3772, 3969, 3968, 5865, 5867, 3778, 3777, 3979, 3978, 5850, 5852, 3773, 3856, 4428, 4429, 6028, + 4902, 3903, 3902, 4457, 4458, 6013, 4894, 3857, 3863, 4450, 4451, 6047, 4572, 3899, 3900, 4455, 4456, 6044, 4546, 3862, + 3890, 5750, 5219, 5220, 4421, 3894, 3895, 5753, 5214, 5215, 4490, 3889, 3891, 4216, 5759, 6009, 4344, 3897, 3896, 4245, + 5752, 6002, 4357, 3892, 3906, 4454, 4452, 5223, 5747, 3907, 3908, 4432, 4431, 5224, 5743, 3905, 3916, 5680, 4049, 4050, + 4535, 3946, 3948, 5690, 3974, 3975, 4581, 3915, 3991, 5787, 5973, 5529, 5380, 4043, 4044, 5753, 5962, 5536, 5377, 3990, + 4042, 6017, 5626, 5534, 4167, 4059, 4060, 6027, 5647, 5549, 4100, 4041, 4091, 4918, 4268, 4269, 5001, 4122, 4123, 4906, + 4206, 4207, 4988, 4090, 4102, 4823, 6014, 5631, 5630, 4155, 4154, 4799, 6026, 5644, 5642, 4104, 4182, 5596, 5394, 5147, + 5148, 4248, 4249, 5575, 5417, 5121, 5123, 4181, 4185, 5304, 5586, 5146, 5145, 4198, 4196, 5338, 5573, 5142, 5141, 4186, + 4189, 4997, 4999, 5311, 5310, 4205, 4203, 4963, 4965, 5309, 5308, 4191, 4193, 4990, 4989, 5231, 5313, 4266, 4267, 4962, + 4960, 5242, 5290, 4192, 4202, 5597, 4704, 4703, 5143, 4246, 4247, 5584, 4728, 4727, 5124, 4201, 4208, 4369, 6042, 5058, + 5057, 4275, 4274, 4384, 6044, 5091, 5090, 4210, 4211, 5776, 5695, 5065, 5066, 4260, 4259, 5743, 5675, 5083, 5084, 4212, + 4218, 5068, 6036, 4342, 4341, 4240, 4241, 5067, 6038, 4379, 4378, 4217, 4239, 6023, 4671, 4380, 4381, 4243, 4244, 6012, + 4633, 4354, 4355, 4238, 4319, 4833, 5986, 5581, 5359, 4371, 4370, 4848, 5993, 5590, 5382, 4320, 4423, 6022, 4667, 4665, + 5216, 4475, 4476, 6015, 4638, 4637, 5221, 4422, 4474, 6034, 4976, 4975, 5069, 4491, 4492, 6033, 4986, 4984, 5045, 4473 + ] + +private def ClayworthSurface_face_edge_data_chunk24 : Array (Fin 6048) := + #[ + 4526, 4824, 5683, 5062, 5063, 4568, 4567, 4789, 5698, 5072, 5073, 4527, 4614, 4825, 5673, 4735, 4737, 4662, 4661, 4773, + 5697, 4754, 4755, 4615, 4775, 5306, 5684, 5790, 5894, 4786, 4785, 5307, 5671, 5754, 5893, 4776, 4779, 5896, 5758, 5300, + 5301, 4791, 4790, 5897, 5772, 5296, 5297, 4780, 4782, 5974, 5477, 5299, 4880, 4839, 4840, 5961, 5465, 5294, 4899, 4781, + 4793, 5975, 5543, 5298, 4957, 4841, 4842, 5966, 5531, 5302, 4982, 4792, 4795, 5934, 5744, 5385, 5384, 4846, 4847, 5933, + 5749, 5387, 5386, 4794, 4800, 5379, 5752, 5751, 5930, 4821, 4820, 5376, 5746, 5745, 5931, 4801 + ] + +private def ClayworthSurface_face_edge_data : Array (Fin 6048) := + ClayworthSurface_face_edge_data_chunk0 ++ ClayworthSurface_face_edge_data_chunk1 ++ ClayworthSurface_face_edge_data_chunk2 ++ ClayworthSurface_face_edge_data_chunk3 ++ ClayworthSurface_face_edge_data_chunk4 ++ ClayworthSurface_face_edge_data_chunk5 ++ ClayworthSurface_face_edge_data_chunk6 ++ ClayworthSurface_face_edge_data_chunk7 ++ ClayworthSurface_face_edge_data_chunk8 ++ ClayworthSurface_face_edge_data_chunk9 ++ ClayworthSurface_face_edge_data_chunk10 ++ ClayworthSurface_face_edge_data_chunk11 ++ ClayworthSurface_face_edge_data_chunk12 ++ ClayworthSurface_face_edge_data_chunk13 ++ ClayworthSurface_face_edge_data_chunk14 ++ ClayworthSurface_face_edge_data_chunk15 ++ ClayworthSurface_face_edge_data_chunk16 ++ ClayworthSurface_face_edge_data_chunk17 ++ ClayworthSurface_face_edge_data_chunk18 ++ ClayworthSurface_face_edge_data_chunk19 ++ ClayworthSurface_face_edge_data_chunk20 ++ ClayworthSurface_face_edge_data_chunk21 ++ ClayworthSurface_face_edge_data_chunk22 ++ ClayworthSurface_face_edge_data_chunk23 ++ ClayworthSurface_face_edge_data_chunk24 + +private def ClayworthSurface_face_dir_data_chunk0 : Array Bool := + #[ + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true + ] + +private def ClayworthSurface_face_dir_data_chunk1 : Array Bool := + #[ + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true + ] + +private def ClayworthSurface_face_dir_data_chunk2 : Array Bool := + #[ + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk3 : Array Bool := + #[ + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, + false, false, true, true, false, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true + ] + +private def ClayworthSurface_face_dir_data_chunk4 : Array Bool := + #[ + false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true + ] + +private def ClayworthSurface_face_dir_data_chunk5 : Array Bool := + #[ + false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk6 : Array Bool := + #[ + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true + ] + +private def ClayworthSurface_face_dir_data_chunk7 : Array Bool := + #[ + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, false + ] + +private def ClayworthSurface_face_dir_data_chunk8 : Array Bool := + #[ + true, false, true, true, false, false, true, false, true, true, true, true, false, false, true, true, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, false, + false, false, true, false, false, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk9 : Array Bool := + #[ + true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, true, false, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk10 : Array Bool := + #[ + true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true + ] + +private def ClayworthSurface_face_dir_data_chunk11 : Array Bool := + #[ + true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false + ] + +private def ClayworthSurface_face_dir_data_chunk12 : Array Bool := + #[ + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk13 : Array Bool := + #[ + true, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, true, true, + false, false, true, true, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true + ] + +private def ClayworthSurface_face_dir_data_chunk14 : Array Bool := + #[ + false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, false, false, false, false, true, true, false, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false + ] + +private def ClayworthSurface_face_dir_data_chunk15 : Array Bool := + #[ + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, + false, false, true, true, false, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, + false, false, true, false, false, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, false, false, false, true, true, false, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk16 : Array Bool := + #[ + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, false, false, true, false, false, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, + false, false, true, false, false, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, true, true + ] + +private def ClayworthSurface_face_dir_data_chunk17 : Array Bool := + #[ + false, false, true, true, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, false, false, false, false, true, true, false, false, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, false, + false, false, true, true, false, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk18 : Array Bool := + #[ + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, false, false, false, true, true, false, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, false, true, true, false, true, false, false, true, true, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, true, + false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk19 : Array Bool := + #[ + true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, true, true, true, false, false, true, true, true, true, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, true, true, false, false, true, true, + true, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, true + ] + +private def ClayworthSurface_face_dir_data_chunk20 : Array Bool := + #[ + false, false, true, true, false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, true, + false, false, true, true, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk21 : Array Bool := + #[ + true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, true, false, false, true, true, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, false, false, false, true, true, + false, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, false, false, false, true, true, false, false, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, true, false, true, false + ] + +private def ClayworthSurface_face_dir_data_chunk22 : Array Bool := + #[ + true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, false, false, false, true, true, false, false, false, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, false, false, true, false, + false, false, false, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, true, false, false, true, true, true, true, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, true, false, false, true, true, + true, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, false, true + ] + +private def ClayworthSurface_face_dir_data_chunk23 : Array Bool := + #[ + true, false, true, false, false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, false, false, true, true, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, false, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, true, true, false, false, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, false, false, false, true, true, false, false, false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false + ] + +private def ClayworthSurface_face_dir_data_chunk24 : Array Bool := + #[ + true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, false, false, false, false, true, false, false, false, false, false, + true, false, false, false, false, false, true, false, false, false, false, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false + ] + +private def ClayworthSurface_face_dir_data : Array Bool := + ClayworthSurface_face_dir_data_chunk0 ++ ClayworthSurface_face_dir_data_chunk1 ++ ClayworthSurface_face_dir_data_chunk2 ++ ClayworthSurface_face_dir_data_chunk3 ++ ClayworthSurface_face_dir_data_chunk4 ++ ClayworthSurface_face_dir_data_chunk5 ++ ClayworthSurface_face_dir_data_chunk6 ++ ClayworthSurface_face_dir_data_chunk7 ++ ClayworthSurface_face_dir_data_chunk8 ++ ClayworthSurface_face_dir_data_chunk9 ++ ClayworthSurface_face_dir_data_chunk10 ++ ClayworthSurface_face_dir_data_chunk11 ++ ClayworthSurface_face_dir_data_chunk12 ++ ClayworthSurface_face_dir_data_chunk13 ++ ClayworthSurface_face_dir_data_chunk14 ++ ClayworthSurface_face_dir_data_chunk15 ++ ClayworthSurface_face_dir_data_chunk16 ++ ClayworthSurface_face_dir_data_chunk17 ++ ClayworthSurface_face_dir_data_chunk18 ++ ClayworthSurface_face_dir_data_chunk19 ++ ClayworthSurface_face_dir_data_chunk20 ++ ClayworthSurface_face_dir_data_chunk21 ++ ClayworthSurface_face_dir_data_chunk22 ++ ClayworthSurface_face_dir_data_chunk23 ++ ClayworthSurface_face_dir_data_chunk24 + +/-! ## Size proofs (verified by native_decide) -/ + +private theorem ClayworthSurface_edge_src_size : + ClayworthSurface_edge_src_data.size = 6048 := by native_decide + +private theorem ClayworthSurface_edge_tgt_size : + ClayworthSurface_edge_tgt_data.size = 6048 := by native_decide + +private theorem ClayworthSurface_face_edge_size : + ClayworthSurface_face_edge_data.size = 12096 := by native_decide + +private theorem ClayworthSurface_face_dir_size : + ClayworthSurface_face_dir_data.size = 12096 := by native_decide + +/-! ## The CellularSurface instance -/ + +/-- The Clayworth Surface (G₂(2)/C₃) as a CellularSurface. + 4032 vertices, 6048 edges, 1008 faces of size 12, genus 505. -/ +def clayworthSurface : CellularSurface where + nV := 4032 + nE := 6048 + nF := 1008 + edge_src := arrayToFin₂ ClayworthSurface_edge_src_data ClayworthSurface_edge_src_size + edge_tgt := arrayToFin₂ ClayworthSurface_edge_tgt_data ClayworthSurface_edge_tgt_size + edge_ne := by native_decide + face_len := fun _ => 12 + face_len_pos := fun _ => by norm_num + face_edge := fun f i => + have := ClayworthSurface_face_edge_size + ClayworthSurface_face_edge_data[f.val * 12 + i.val]'(by omega) + face_dir := fun f i => + have := ClayworthSurface_face_dir_size + ClayworthSurface_face_dir_data[f.val * 12 + i.val]'(by omega) + face_inj := by native_decide + face_closed := by native_decide + +/-- Euler characteristic confirms genus 505. -/ +theorem clayworthSurface_euler : + (4032 : ℤ) - 6048 + 1008 = 2 - 2 * 505 := by norm_num diff --git a/Archive/HeawoodSurface.lean b/Archive/HeawoodSurface.lean new file mode 100644 index 00000000000000..0c6918fbe6f003 --- /dev/null +++ b/Archive/HeawoodSurface.lean @@ -0,0 +1,66 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer + +# The Heawood Graph (F014A): A Concrete CellularSurface + +The Heawood graph (Foster census F014A) is the Levi graph (incidence graph) of +the Fano plane PG(2,2). It is a cubic arc-transitive graph on 14 vertices. + + - **Sabidussi**: Sab(G, C₃, a) where |G| = 42, from Δ(2,3,6) + - **Tiling**: {6,3} — 7 hexagonal faces on the torus (genus 1) + - **CSS code**: [[21, 2, ≥ 3]] + +Vertices 0–6 are the 7 points of the Fano plane. +Vertices 7–13 are the 7 lines. +Edge i connects a point to the line containing it. + +All axioms verified by the Lean kernel (`decide`). No sorry. +-/ + +import Mathlib.Combinatorics.CellularSurface + +open CellularSurface + +/-- The Heawood graph embedded on a torus, as a CellularSurface. + 14 vertices (Fano points + lines), 21 edges, 7 hexagonal faces. -/ +def heawoodSurface : CellularSurface where + nV := 14 + nE := 21 + nF := 7 + edge_src := ![0, 1, 3, 1, 2, 4, 2, 3, 5, 3, 4, 6, 0, 4, 5, 1, 5, 6, 0, 2, 6] + edge_tgt := ![7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13] + edge_ne := by decide + face_len := fun _ => 6 + face_len_pos := fun _ => by norm_num + face_edge := ![ + ![0, 2, 7, 6, 19, 18], -- Face 0: 0→7→3→9→2→13→0 + ![12, 14, 16, 15, 1, 0], -- Face 1: 0→11→5→12→1→7→0 + ![18, 20, 11, 10, 13, 12], -- Face 2: 0→13→6→10→4→11→0 + ![3, 5, 10, 9, 2, 1], -- Face 3: 1→8→4→10→3→7→1 + ![15, 17, 20, 19, 4, 3], -- Face 4: 1→12→6→13→2→8→1 + ![6, 8, 14, 13, 5, 4], -- Face 5: 2→9→5→11→4→8→2 + ![9, 11, 17, 16, 8, 7] -- Face 6: 3→10→6→12→5→9→3 + ] + face_dir := ![ + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false] + ] + face_inj := by decide + face_closed := by decide + +/-- The Heawood surface satisfies ∂² = 0. -/ +theorem heawood_d1_mul_d2_eq_zero : heawoodSurface.d1 * heawoodSurface.d2 = 0 := + heawoodSurface.d1_mul_d2_eq_zero + +/-- Each column of d1 sums to zero (each edge has 2 endpoints). -/ +example : ∀ e, ∑ v, heawoodSurface.d1 v e = 0 := heawoodSurface.d1_col_sum_eq_zero + +/-- The Heawood code: Euler characteristic confirms genus 1, so k = 2. -/ +theorem heawood_euler : (14 : ℤ) - 21 + 7 = 2 - 2 * 1 := by norm_num diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean new file mode 100644 index 00000000000000..0f3adbaa58c7eb --- /dev/null +++ b/Archive/KleinSurface.lean @@ -0,0 +1,171 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer + +# Klein Quartic (F056A): Array-backed CellularSurface + +Klein quartic {7,3} tiling (genus 3, PSL(2,7)). + +This file is auto-generated by `generate_lean_surface.py` from +`cellular_surfaces_data.json`. It uses Array-backed data to avoid +the elaborator crash caused by `![...]` on large vectors. + + - V = 56, E = 84, F = 24 + - Face size = 7 (7-gonal) + - Genus = 3 + - χ = 56 - 84 + 24 = -4 = 2 - 2 × 3 +-/ + +import Mathlib.Combinatorics.CellularSurface + + +set_option linter.style.nativeDecide false + +/-! ## Array-backed lookup + + We store edge/face data in `Array` literals (flat memory, O(1) lookup) + rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration depth). + A helper converts `Array` + size proof → `Fin n → α`. -/ + +/-- Convert an Array to a function on Fin, given a proof that the array has + the right size. Uses `a[i]'h` for O(1) lookup. -/ +def arrayToFin {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := + a[i.val]'(by omega) + +/-! ## Raw data arrays -/ + +private def KleinSurface_edge_src_data : Array (Fin 56) := + #[ + 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 8, + 9, 9, 9, 10, 10, 11, 12, 13, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, + 19, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, + 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, + 45, 46, 47, 48 + ] + +private def KleinSurface_edge_tgt_data : Array (Fin 56) := + #[ + 1, 6, 27, 2, 21, 3, 22, 4, 23, 5, 24, 6, 25, 26, 10, 11, 52, 11, 12, 53, + 12, 13, 54, 13, 55, 49, 50, 51, 16, 19, 40, 17, 20, 38, 18, 36, 19, 41, 20, 39, + 37, 35, 28, 43, 29, 44, 30, 45, 31, 46, 32, 47, 33, 48, 34, 42, 35, 50, 36, 52, + 37, 54, 38, 49, 39, 51, 40, 53, 41, 55, 42, 43, 44, 45, 46, 47, 48, 51, 53, 55, + 50, 52, 54, 49 + ] + +private def KleinSurface_face_edge_data : Array (Fin 84) := + #[ + 0, 4, 42, 56, 70, 55, 2, 1, 11, 9, 7, 5, 3, 0, 2, 54, 68, 76, 53, 13, + 1, 3, 6, 44, 58, 71, 43, 4, 5, 8, 46, 60, 72, 45, 6, 7, 10, 48, 62, 73, + 47, 8, 9, 12, 50, 64, 74, 49, 10, 11, 13, 52, 66, 75, 51, 12, 14, 23, 21, 20, + 18, 17, 15, 16, 59, 44, 45, 79, 24, 14, 15, 25, 63, 48, 49, 81, 16, 19, 67, 52, + 53, 83, 25, 17, 18, 26, 57, 42, 43, 78, 19, 22, 61, 46, 47, 80, 26, 20, 21, 27, + 65, 50, 51, 82, 22, 24, 69, 54, 55, 77, 27, 23, 28, 34, 38, 32, 31, 36, 29, 30, + 66, 67, 78, 71, 35, 28, 29, 40, 60, 61, 82, 75, 30, 33, 62, 63, 83, 76, 37, 31, + 32, 41, 56, 57, 80, 73, 33, 35, 58, 59, 81, 74, 39, 34, 37, 68, 69, 79, 72, 40, + 36, 39, 64, 65, 77, 70, 41, 38 + ] + +private def KleinSurface_face_dir_data : Array Bool := + #[ + true, true, true, true, true, false, false, true, false, false, false, false, false, false, true, true, true, true, false, false, + false, true, true, true, true, true, false, false, true, true, true, true, true, false, false, true, true, true, true, true, + false, false, true, true, true, true, true, false, false, true, true, true, true, true, false, false, true, true, false, true, + false, true, false, true, false, false, true, true, false, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, false, true, true, false, false, true, true, false, true, false, false, true, true, false, false, true, true, + false, false, true, true, false, true, false, false, true, true, false, false, true, true, true, false, true, true, false, true, + false, true, false, false, false, false, true, true, false, true, false, false, false, true, false, true, false, false, false, false, + true, true, false, true, false, false, false, true, false, true, false, false, false, false, true, false, true, false, false, false, + false, true, false, true, false, false, false, false + ] + +/-! ## Size proofs (verified by native_decide) -/ + +private theorem KleinSurface_edge_src_size : + KleinSurface_edge_src_data.size = 84 := by native_decide + +private theorem KleinSurface_edge_tgt_size : + KleinSurface_edge_tgt_data.size = 84 := by native_decide + +private theorem KleinSurface_face_edge_size : + KleinSurface_face_edge_data.size = 168 := by native_decide + +private theorem KleinSurface_face_dir_size : + KleinSurface_face_dir_data.size = 168 := by native_decide + +/-! ## The CellularSurface instance -/ + +/-- The Klein Quartic (F056A) as a CellularSurface. + 56 vertices, 84 edges, 24 faces of size 7, genus 3. -/ +def kleinSurface : CellularSurface where + nV := 56 + nE := 84 + nF := 24 + edge_src := arrayToFin KleinSurface_edge_src_data KleinSurface_edge_src_size + edge_tgt := arrayToFin KleinSurface_edge_tgt_data KleinSurface_edge_tgt_size + edge_ne := by native_decide + face_len := fun _ => 7 + face_len_pos := fun _ => by norm_num + face_edge := fun f i => + have := KleinSurface_face_edge_size + KleinSurface_face_edge_data[f.val * 7 + i.val]'(by omega) + face_dir := fun f i => + have := KleinSurface_face_dir_size + KleinSurface_face_dir_data[f.val * 7 + i.val]'(by omega) + face_inj := by native_decide + face_closed := by native_decide + +/-- Euler characteristic confirms genus 3. -/ +theorem kleinSurface_euler : + (56 : ℤ) - 84 + 24 = 2 - 2 * 3 := by norm_num + +/-! ## The underlying SimpleGraph + +Extract the simple graph from the CellularSurface edge data: +vertices u and v are adjacent iff some edge connects them. -/ + +/-- Adjacency test for the Klein graph: does any edge connect u and v? -/ +private def kleinAdjBool (u v : Fin 56) : Bool := + decide (u ≠ v ∧ ∃ e : Fin 84, + (kleinSurface.edge_src e = u ∧ kleinSurface.edge_tgt e = v) ∨ + (kleinSurface.edge_src e = v ∧ kleinSurface.edge_tgt e = u)) + +/-- The **Klein quartic graph** (F056A) as a SimpleGraph on 56 vertices, + extracted from the CellularSurface edge data. -/ +def kleinGraph : SimpleGraph (Fin 56) where + Adj u v := kleinAdjBool u v + symm u v := by simp only [kleinAdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [kleinAdjBool]; revert u; native_decide⟩ + +instance kleinDecAdj : DecidableRel kleinGraph.Adj := + fun u v => inferInstanceAs (Decidable (kleinAdjBool u v)) + +/-- The Klein graph is 3-regular. -/ +theorem klein_regular : + ∀ v : Fin 56, (Finset.univ.filter fun w => kleinGraph.Adj v w).card = 3 := by + native_decide + +/-- The Klein graph has 84 edges. -/ +theorem klein_edges : + (Finset.univ.filter fun p : Fin 56 × Fin 56 => + p.1 < p.2 ∧ kleinGraph.Adj p.1 p.2).card = 84 := by + native_decide + +/-! ## The Z₇ layout quotient + +A cyclic subgroup C₇ ≤ PGL(2,7) acts on the 56 vertices of the Klein graph +with 8 orbits of 7 vertices each. The quotient graph captures the inter-orbit +adjacency structure used for the concentric-ring layout drawing. -/ + +/-- Orbit assignment for the Z₇ action on the Klein graph (56 → 8). + The orbits correspond to the 8 cosets of C₇ in PGL(2,7). -/ +private def kleinZ7Data : Array (Fin 8) := + #[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, + 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, + 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, + 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, + 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, + 7, 7, 7, 7, 7, 7] + +-- Quotient graph theorems omitted; they depend on SimpleGraph.quotientGraph +-- from the Sabidussi chain (#39551) and belong in a separate PR. From ec7edeb60556d9e985bbac9b98f7f4e0c3251205 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 20:45:15 +1000 Subject: [PATCH 10/35] Add Sabidussi descriptions and Heawood bridge theorem MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Each surface docstring now names the Sabidussi graph: Sab(G₄₂, C₃), Sab(GL(2,3), C₃), Sab(PSL(2,7), C₃) (primitive), Sab(G₂(2), C₃). heawood_surface_eq_voltage bridges the CellularSurface and voltage graph descriptions of the Heawood graph via v ↦ (v/7, v mod 7). --- Archive.lean | 1 + Archive/BolzaSurface.lean | 3 +- Archive/ClayworthSurface.lean | 24 ++++--- Archive/HeawoodSurface.lean | 28 +++++++- Archive/KleinSurface.lean | 15 ++--- Archive/VoltageGraphs.lean | 120 ++++++++++++++++++++++++++++++++++ 6 files changed, 171 insertions(+), 20 deletions(-) create mode 100644 Archive/VoltageGraphs.lean diff --git a/Archive.lean b/Archive.lean index 4ab4e216f56ac5..60e5707e7406ce 100644 --- a/Archive.lean +++ b/Archive.lean @@ -71,6 +71,7 @@ import Archive.MiuLanguage.DecisionNec import Archive.MiuLanguage.DecisionSuf import Archive.OxfordInvariants.Summer2021.Week3P1 import Archive.Sensitivity +import Archive.VoltageGraphs import Archive.Wiedijk100Theorems.AbelRuffini import Archive.Wiedijk100Theorems.AreaOfACircle import Archive.Wiedijk100Theorems.AscendingDescendingSequences diff --git a/Archive/BolzaSurface.lean b/Archive/BolzaSurface.lean index aa3717e4aad577..0d0b1b275b7199 100644 --- a/Archive/BolzaSurface.lean +++ b/Archive/BolzaSurface.lean @@ -8,7 +8,8 @@ Authors: Robin Langer The Möbius-Kantor graph (Foster census F016A) = generalized Petersen graph GP(8,3). It is a cubic arc-transitive graph on 16 vertices. - - **Sabidussi**: Sab(GL(2,3), C₃, a), |GL(2,3)| = 48, from Δ(2,3,8) + - **Sabidussi**: Sab(GL(2,3), C₃), |GL(2,3)| = 48 + - **Voltage graph**: `voltageGraphK2 8 0 1 3` on K₂ with Z₈ - **Tiling**: {8,3} — 6 octagonal faces on the Bolza surface (genus 2) - **CSS code**: [[24, 4, ≥ 6]] diff --git a/Archive/ClayworthSurface.lean b/Archive/ClayworthSurface.lean index 5ba61531aaa6da..35316d2011e67f 100644 --- a/Archive/ClayworthSurface.lean +++ b/Archive/ClayworthSurface.lean @@ -5,16 +5,20 @@ Authors: Robin Langer # Clayworth Surface (G₂(2)/C₃): Array-backed CellularSurface -Clayworth {12,3} tiling of genus 505, from Sab(G₂(2), C₃). - -This file is auto-generated by `generate_lean_surface.py` from -`cellular_surfaces_data.json`. It uses Array-backed data to avoid -the elaborator crash caused by `![...]` on large vectors. - - - V = 4032, E = 6048, F = 1008 - - Face size = 12 (dodecagonal) - - Genus = 505 - - χ = 4032 - 6048 + 1008 = -1008 = 2 - 2 × 505 +The Clayworth graph is a cubic arc-transitive graph on 4032 vertices, embedded on a +surface of genus 505. + + - **Sabidussi**: Sab(G₂(2), C₃), |G₂(2)| = 12096, the exceptional Chevalley group. + The C₃ is from conjugacy class 1 (28 conjugates), which fixes zero points of GH(2,2). + - **Tiling**: {12,3} — 1008 dodecagonal faces + - V = 4032, E = 6048, F = 1008, genus = 505, χ = -1008 + - **CSS code**: [[6048, 1010, ≥ 12]] + - **Imprimitive**: has block systems, but all quotients are degenerate + (K₂₈, 63×K₄, edgeless). The Langer graph is NOT a quotient of Clayworth. + - **Sibling** of the Langer graph (see `LangerGraph.lean`): both are children of + G₂(2) but from different conjugacy classes of C₃. + +Array-backed data (auto-generated by `generate_lean_surface.py`). -/ import Mathlib.Combinatorics.CellularSurface diff --git a/Archive/HeawoodSurface.lean b/Archive/HeawoodSurface.lean index 0c6918fbe6f003..d2878251e6267d 100644 --- a/Archive/HeawoodSurface.lean +++ b/Archive/HeawoodSurface.lean @@ -8,7 +8,7 @@ Authors: Robin Langer The Heawood graph (Foster census F014A) is the Levi graph (incidence graph) of the Fano plane PG(2,2). It is a cubic arc-transitive graph on 14 vertices. - - **Sabidussi**: Sab(G, C₃, a) where |G| = 42, from Δ(2,3,6) + - **Sabidussi**: Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆ (order 42) - **Tiling**: {6,3} — 7 hexagonal faces on the torus (genus 1) - **CSS code**: [[21, 2, ≥ 3]] @@ -20,6 +20,9 @@ All axioms verified by the Lean kernel (`decide`). No sorry. -/ import Mathlib.Combinatorics.CellularSurface +import Archive.VoltageGraphs + +set_option linter.style.nativeDecide false open CellularSurface @@ -64,3 +67,26 @@ example : ∀ e, ∑ v, heawoodSurface.d1 v e = 0 := heawoodSurface.d1_col_sum_e /-- The Heawood code: Euler characteristic confirms genus 1, so k = 2. -/ theorem heawood_euler : (14 : ℤ) - 21 + 7 = 2 - 2 * 1 := by norm_num + +/-! ### Bridge to voltage graph description + +The Heawood graph has two descriptions: +1. **Combinatorial** (above): a `CellularSurface` with explicit edge_src/edge_tgt +2. **Algebraic** (`VoltageGraphs.lean`): `voltageGraphK2 7 0 4 6`, a voltage graph on K₂ + +We prove these define the same graph via the bijection v ↦ (v/7, v mod 7), +mapping Fano points 0–6 to fibre 0 and Fano lines 7–13 to fibre 1. -/ + +/-- The bijection Fin 14 → Fin 2 × ZMod 7 mapping vertex v to (v/7, v mod 7). -/ +def heawoodBij (v : Fin 14) : Fin 2 × ZMod 7 := + (⟨v.val / 7, by omega⟩, (v.val : ZMod 7)) + +/-- **Bridge theorem**: the Heawood `CellularSurface` graph equals the Heawood +voltage graph under the bijection v ↦ (v/7, v mod 7). -/ +theorem heawood_surface_eq_voltage : + ∀ u v : Fin 14, + (∃ e : Fin 21, + (heawoodSurface.edge_src e = u ∧ heawoodSurface.edge_tgt e = v) ∨ + (heawoodSurface.edge_src e = v ∧ heawoodSurface.edge_tgt e = u)) ↔ + heawoodVoltage.Adj (heawoodBij u) (heawoodBij v) := by + native_decide diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean index 0f3adbaa58c7eb..71009fb27e4b05 100644 --- a/Archive/KleinSurface.lean +++ b/Archive/KleinSurface.lean @@ -5,16 +5,15 @@ Authors: Robin Langer # Klein Quartic (F056A): Array-backed CellularSurface -Klein quartic {7,3} tiling (genus 3, PSL(2,7)). +The Klein graph (Foster census F056A) is a cubic arc-transitive graph on 56 vertices +embedded on the Klein quartic surface of genus 3. -This file is auto-generated by `generate_lean_surface.py` from -`cellular_surfaces_data.json`. It uses Array-backed data to avoid -the elaborator crash caused by `![...]` on large vectors. + - **Sabidussi**: Sab(PSL(2,7), C₃), |PSL(2,7)| = 168. **Primitive** (no block system). + - **Tiling**: {7,3} — 24 heptagonal faces + - V = 56, E = 84, F = 24, genus = 3, χ = -4 + - **CSS code**: [[84, 6, ≥ 4]] - - V = 56, E = 84, F = 24 - - Face size = 7 (7-gonal) - - Genus = 3 - - χ = 56 - 84 + 24 = -4 = 2 - 2 × 3 +Array-backed data (auto-generated by `generate_lean_surface.py`). -/ import Mathlib.Combinatorics.CellularSurface diff --git a/Archive/VoltageGraphs.lean b/Archive/VoltageGraphs.lean new file mode 100644 index 00000000000000..b46b3d46dadf0b --- /dev/null +++ b/Archive/VoltageGraphs.lean @@ -0,0 +1,120 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.QuotientGraph +import Mathlib.Data.ZMod.Basic + +/-! +# Voltage graphs on K₂: Heawood and Möbius-Kantor graphs + +A voltage graph on K₂ with cyclic group Zₘ and three voltages {v₁, v₂, v₃} +gives a cubic graph on 2m vertices. Vertices are `Fin 2 × ZMod m`, and +`(0, g) ~ (1, g + vⱼ)` for each voltage. + +Every cubic arc-transitive graph of small order arises this way: +* Heawood (F014A): K₂ with Z₇, voltages {0, 4, 6}, 14 vertices +* Möbius-Kantor (F016A): K₂ with Z₈, voltages {0, 1, 3}, 16 vertices + +Both quotient to K₂ under the fibre projection `Prod.fst`. + +## Main definitions + +* `voltageGraphK2` — cubic voltage graph on K₂ with cyclic voltage group +* `heawoodVoltage` — the Heawood graph (Levi graph of the Fano plane) +* `mobiusKantorVoltage` — the Möbius-Kantor graph (GP(8,3)) + +## References + +* Gross & Tucker, *Topological Graph Theory*, 1987 +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.nativeDecide false + +/-- A cubic voltage graph on K₂ with voltage group `ZMod m`. +Three voltages v₁, v₂, v₃ give a cubic graph on 2m vertices. +`(0, g) ~ (1, g + vⱼ)` for each voltage. -/ +def voltageGraphK2 (m : ℕ) [NeZero m] + (v₁ v₂ v₃ : ZMod m) : SimpleGraph (Fin 2 × ZMod m) where + Adj p q := + (p.1 = 0 ∧ q.1 = 1 ∧ q.2 - p.2 ∈ ({v₁, v₂, v₃} : Set (ZMod m))) ∨ + (p.1 = 1 ∧ q.1 = 0 ∧ p.2 - q.2 ∈ ({v₁, v₂, v₃} : Set (ZMod m))) + symm := by + intro p q hpq + rcases hpq with ⟨hp, hq, hv⟩ | ⟨hp, hq, hv⟩ + · exact Or.inr ⟨hq, hp, hv⟩ + · exact Or.inl ⟨hq, hp, hv⟩ + loopless := ⟨fun p hp => by + rcases hp with ⟨hp, hq, _⟩ | ⟨hp, hq, _⟩ <;> simp [hp] at hq⟩ + +/-! ### The Heawood graph -/ + +/-- The **Heawood graph**: voltage graph on K₂ with Z₇ voltages {0, 4, 6}. +Levi graph of the Fano plane PG(2,2). 14 vertices, cubic, girth 6. +Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆. -/ +def heawoodVoltage : SimpleGraph (Fin 2 × ZMod 7) := + voltageGraphK2 7 0 4 6 + +instance : DecidableRel heawoodVoltage.Adj := by + intro p q; unfold heawoodVoltage voltageGraphK2; simp only; exact instDecidableOr + +/-- The Heawood graph is 3-regular. -/ +theorem heawoodVoltage_regular : + ∀ v : Fin 2 × ZMod 7, + (Finset.univ.filter fun w => heawoodVoltage.Adj v w).card = 3 := by + native_decide + +/-- The Heawood graph has 42 directed edges (21 undirected). -/ +theorem heawoodVoltage_directedEdges : + (Finset.univ.filter fun p : (Fin 2 × ZMod 7) × (Fin 2 × ZMod 7) => + heawoodVoltage.Adj p.1 p.2).card = 42 := by + native_decide + +/-! ### The Möbius-Kantor graph -/ + +/-- The **Möbius-Kantor graph**: voltage graph on K₂ with Z₈ voltages {0, 1, 3}. +GP(8,3), the generalised Petersen graph. 16 vertices, cubic, girth 6. +Sab(GL(2,3), C₃). -/ +def mobiusKantorVoltage : SimpleGraph (Fin 2 × ZMod 8) := + voltageGraphK2 8 0 1 3 + +instance : DecidableRel mobiusKantorVoltage.Adj := by + intro p q; unfold mobiusKantorVoltage voltageGraphK2; simp only; exact instDecidableOr + +/-- The Möbius-Kantor graph is 3-regular. -/ +theorem mobiusKantorVoltage_regular : + ∀ v : Fin 2 × ZMod 8, + (Finset.univ.filter fun w => mobiusKantorVoltage.Adj v w).card = 3 := by + native_decide + +/-- The Möbius-Kantor graph has 48 directed edges (24 undirected). -/ +theorem mobiusKantorVoltage_directedEdges : + (Finset.univ.filter fun p : (Fin 2 × ZMod 8) × (Fin 2 × ZMod 8) => + mobiusKantorVoltage.Adj p.1 p.2).card = 48 := by + native_decide + +/-! ### Fibre quotients to K₂ -/ + +instance : DecidableRel (heawoodVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 7 → Fin 2)).Adj := by + intro i j; unfold SimpleGraph.quotientGraph; simp only; exact instDecidableAnd + +/-- The Heawood graph quotients to K₂ under the fibre projection. -/ +theorem heawoodVoltage_quotient_complete : + ∀ i j : Fin 2, i ≠ j → + (heawoodVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 7 → Fin 2)).Adj i j := by + native_decide + +instance : DecidableRel (mobiusKantorVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 8 → Fin 2)).Adj := by + intro i j; unfold SimpleGraph.quotientGraph; simp only; exact instDecidableAnd + +/-- The Möbius-Kantor graph quotients to K₂ under the fibre projection. -/ +theorem mobiusKantorVoltage_quotient_complete : + ∀ i j : Fin 2, i ≠ j → + (mobiusKantorVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 8 → Fin 2)).Adj i j := by + native_decide From 34ebc193ec416a12d7f08f643df87c63584bea47 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 20:53:53 +1000 Subject: [PATCH 11/35] =?UTF-8?q?Add=20Zhou=20graph=20(F182A):=20Sab(PSL(2?= =?UTF-8?q?,13),=20S=E2=82=83),=20imprimitive?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The Zhou graph is cubic arc-transitive on 182 vertices. Contrary to earlier claims, it is IMPRIMITIVE: S₃ is not maximal in PSL(2,13), giving a Z₂ block system with 91 blocks of size 2. Edge list computed by GAP from the suborbit of size 3 in the coset action. --- Archive.lean | 1 + Archive/ZhouGraph.lean | 96 ++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 97 insertions(+) create mode 100644 Archive/ZhouGraph.lean diff --git a/Archive.lean b/Archive.lean index 60e5707e7406ce..a87847989bef9d 100644 --- a/Archive.lean +++ b/Archive.lean @@ -87,3 +87,4 @@ import Archive.Wiedijk100Theorems.PerfectNumbers import Archive.Wiedijk100Theorems.SolutionOfCubicQuartic import Archive.Wiedijk100Theorems.SumOfPrimeReciprocalsDiverges import Archive.ZagierTwoSquares +import Archive.ZhouGraph diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean new file mode 100644 index 00000000000000..f013dc9fbe2bfa --- /dev/null +++ b/Archive/ZhouGraph.lean @@ -0,0 +1,96 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Basic + +/-! +# The Zhou graph (F182A) + +The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vertices. + + - **Sabidussi**: Sab(PSL(2,13), S₃), |PSL(2,13)| = 1092 + - **Imprimitive**: has a Z₂ block system with 91 blocks of size 2. + S₃ is NOT maximal in PSL(2,13) — the maximal subgroups are D₁₄, D₁₂, A₄, + Z₁₃ ⋊ Z₆, and Z₇ ⋊ Z₃ (none of order 6). + - 273 edges, 3-regular + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.nativeDecide false + +private def zhouEdges : List (Fin 182 × Fin 182) := [ + (0,55), (0,135), (0,147), (1,68), (1,139), (1,171), + (2,9), (2,162), (2,181), (3,22), (3,137), (3,178), + (4,35), (4,150), (4,167), (5,43), (5,131), (5,134), + (6,64), (6,91), (6,106), (7,70), (7,120), (7,158), + (8,15), (8,87), (8,105), (9,153), (9,157), (10,53), + (10,123), (10,163), (11,20), (11,102), (11,155), (12,41), + (12,118), (12,131), (13,52), (13,143), (13,179), (14,44), + (14,97), (14,107), (15,92), (15,181), (16,65), (16,90), + (16,173), (17,30), (17,130), (17,135), (18,76), (18,98), + (18,114), (19,33), (19,109), (19,130), (20,85), (20,165), + (21,27), (21,92), (21,112), (22,142), (22,176), (23,61), + (23,88), (23,179), (24,49), (24,123), (24,135), (25,60), + (25,153), (25,173), (26,56), (26,102), (26,115), (27,99), + (27,137), (28,77), (28,97), (28,154), (29,42), (29,139), + (29,160), (30,105), (30,122), (31,73), (31,95), (31,153), + (32,46), (32,117), (32,160), (33,93), (33,158), (34,40), + (34,99), (34,119), (35,133), (35,145), (36,54), (36,162), + (36,164), (37,63), (37,88), (37,139), (38,72), (38,142), + (38,154), (39,69), (39,109), (39,120), (40,106), (40,150), + (41,102), (41,174), (42,87), (42,112), (43,148), (43,157), + (44,103), (44,142), (45,58), (45,125), (45,164), (46,100), + (46,165), (47,48), (47,84), (47,106), (48,114), (48,134), + (49,109), (49,136), (50,66), (50,149), (50,178), (51,75), + (51,95), (51,162), (52,145), (52,174), (53,85), (53,117), + (54,92), (54,119), (55,163), (55,176), (56,110), (56,145), + (57,71), (57,90), (57,149), (58,107), (58,158), (59,62), + (59,91), (59,114), (60,136), (60,148), (61,93), (61,125), + (62,122), (62,147), (63,117), (63,140), (64,167), (64,172), + (65,103), (65,178), (66,84), (66,99), (67,74), (67,98), + (67,122), (68,133), (68,179), (69,118), (69,148), (70,97), + (70,172), (71,115), (71,165), (72,140), (72,163), (73,90), + (73,100), (74,87), (74,171), (75,125), (75,143), (76,131), + (76,155), (77,110), (77,167), (78,101), (78,137), (78,151), + (79,108), (79,129), (79,150), (80,113), (80,134), (80,169), + (81,121), (81,147), (81,156), (82,86), (82,171), (82,175), + (83,94), (83,146), (83,181), (84,96), (85,168), (86,173), + (86,177), (88,169), (89,119), (89,129), (89,168), (91,104), + (93,166), (94,127), (94,154), (95,156), (96,166), (96,169), + (98,111), (100,138), (101,161), (101,174), (103,175), (104,138), + (104,156), (105,116), (107,152), (108,136), (108,177), (110,146), + (111,152), (111,175), (112,124), (113,127), (113,140), (115,159), + (116,146), (116,159), (118,151), (120,126), (121,143), (121,161), + (123,129), (124,126), (124,151), (126,144), (127,157), (128,132), + (128,152), (128,155), (130,141), (132,164), (132,168), (133,177), + (138,180), (141,159), (141,170), (144,160), (144,180), (149,170), + (161,176), (166,170), (172,180)] + +private def zhouAdjBool (u v : Fin 182) : Bool := + zhouEdges.any fun (a, b) => (u == a && v == b) || (u == b && v == a) + +/-- The **Zhou graph** (Foster census F182A): a cubic arc-transitive graph on 182 vertices. +Sab(PSL(2,13), S₃), imprimitive with Z₂ block system (91 blocks of size 2). -/ +def zhouGraph : SimpleGraph (Fin 182) where + Adj u v := zhouAdjBool u v + symm u v := by simp only [zhouAdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [zhouAdjBool]; revert u; native_decide⟩ + +instance : DecidableRel zhouGraph.Adj := + fun u v => inferInstanceAs (Decidable (zhouAdjBool u v)) + +/-- The Zhou graph is 3-regular. -/ +theorem zhouGraph_regular : + ∀ v : Fin 182, (Finset.univ.filter fun w => zhouGraph.Adj v w).card = 3 := by + native_decide + +/-- The Zhou graph has 273 edges. -/ +theorem zhouGraph_edgeCount : + (Finset.univ.filter fun p : Fin 182 × Fin 182 => + p.1 < p.2 ∧ zhouGraph.Adj p.1 p.2).card = 273 := by + native_decide From 4fed421a00e112e6672efc46e2beb6eb693692a9 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 21:54:12 +1000 Subject: [PATCH 12/35] chore: add nextPerm docstring, fix lint warnings - Add missing documentation string for `CellularSurface.nextPerm` - Remove unused `Pi.one_apply` from two `simp` calls - Replace `show` with `change` where it transforms the goal --- Mathlib/Combinatorics/CellularSurface.lean | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/Mathlib/Combinatorics/CellularSurface.lean b/Mathlib/Combinatorics/CellularSurface.lean index 3a47c15e8580e8..a894799bdd54c2 100644 --- a/Mathlib/Combinatorics/CellularSurface.lean +++ b/Mathlib/Combinatorics/CellularSurface.lean @@ -144,6 +144,7 @@ theorem nextIdx_injective (f : Fin S.nF) : Function.Injective (S.nextIdx f) := b theorem nextIdx_bijective (f : Fin S.nF) : Function.Bijective (S.nextIdx f) := Finite.injective_iff_bijective.mp (S.nextIdx_injective f) +/-- `nextIdx` as a permutation (equivalence) on face boundary indices. -/ noncomputable def nextPerm (f : Fin S.nF) : Equiv.Perm (Fin (S.face_len f)) := Equiv.ofBijective _ (S.nextIdx_bijective f) @@ -260,7 +261,7 @@ theorem ker_d1T_le_span_one (hconn : S.toSimpleGraph.Connected) : have hconst : ∀ u v : Fin S.nV, x u = x v := fun u v => S.walk_preserves_ker hx (hconn.preconnected u v).some exact ⟨x ⟨0, hV⟩, funext fun v => by - simp [Pi.smul_apply, Pi.one_apply, smul_eq_mul, mul_one, hconst ⟨0, hV⟩ v]⟩ + simp [Pi.smul_apply, smul_eq_mul, mul_one, hconst ⟨0, hV⟩ v]⟩ theorem ker_d1T_finrank_eq_one (hconn : S.toSimpleGraph.Connected) (hV : 0 < S.nV) : Module.finrank (ZMod 2) (LinearMap.ker S.d1ᵀ.mulVecLin) = 1 := by @@ -383,7 +384,7 @@ theorem d2_rank_eq (hconn_dual : S.toDualSimpleGraph.Connected) (hF : 1 < S.nF) | nil => rfl | cons hadj _ ih => exact (S.ker_d2_dual_adj_eq hy htwo hadj).trans ih exact ⟨y ⟨0, hF_pos⟩, funext fun v => by - simp [Pi.smul_apply, Pi.one_apply, smul_eq_mul, mul_one, hconst ⟨0, hF_pos⟩ v]⟩) + simp [Pi.smul_apply, smul_eq_mul, mul_one, hconst ⟨0, hF_pos⟩ v]⟩) ((Submodule.span_singleton_le_iff_mem _ _).mpr hmem) have hle := S.d2_rank_le hF_pos (S.d2_mulVec_one_of_two_sides htwo) have hge : S.nF - 1 ≤ S.d2.rank := by @@ -474,6 +475,6 @@ theorem CellularSurface.css_k_eq_2g_from_surface (S : CellularSurface) (g : ℕ) intro T css apply css_k_eq_2g · exact S.d1_rank_eq hconn hV - · show (S.d2ᵀ.rank : ℤ) = S.nF - 1 + · change (S.d2ᵀ.rank : ℤ) = S.nF - 1 rw [rank_transpose] exact S.d2_rank_eq hconn_dual hF htwo From 01582179e074b49ac8eb72e2f9d588687c47c550 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 22:10:51 +1000 Subject: [PATCH 13/35] doc: add visualization links for Klein quartic and Zhou graph Link to symmetry-aware drawings hosted in the symmetric-graphs repo. --- Archive/KleinSurface.lean | 2 ++ Archive/ZhouGraph.lean | 50 +++++++++++++++++++++++++++++++++++++++ 2 files changed, 52 insertions(+) diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean index 71009fb27e4b05..e499313ba6694e 100644 --- a/Archive/KleinSurface.lean +++ b/Archive/KleinSurface.lean @@ -13,6 +13,8 @@ embedded on the Klein quartic surface of genus 3. - V = 56, E = 84, F = 24, genus = 3, χ = -4 - **CSS code**: [[84, 6, ≥ 4]] + - [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/klein-F056A.jpg) — symmetry-aware drawing + Array-backed data (auto-generated by `generate_lean_surface.py`). -/ diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean index f013dc9fbe2bfa..303eb06368dbf1 100644 --- a/Archive/ZhouGraph.lean +++ b/Archive/ZhouGraph.lean @@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer -/ import Mathlib.Combinatorics.SimpleGraph.Basic +import Mathlib.Combinatorics.SimpleGraph.QuotientGraph /-! # The Zhou graph (F182A) @@ -16,6 +17,10 @@ The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vert Z₁₃ ⋊ Z₆, and Z₇ ⋊ Z₃ (none of order 6). - 273 edges, 3-regular +## Visualizations + +* [The Zhou graph](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou-F182A.jpg) — symmetry-aware drawing with imprimitive block structure + ## References * Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 @@ -94,3 +99,48 @@ theorem zhouGraph_edgeCount : (Finset.univ.filter fun p : Fin 182 × Fin 182 => p.1 < p.2 ∧ zhouGraph.Adj p.1 p.2).card = 273 := by native_decide + +/-! ### The Z₂ quotient: Sab(PSL(2,13), D₁₂) + +S₃ is not maximal in PSL(2,13) — it sits inside D₁₂ (dihedral of order 12, +index 91). The Z₂ block system pairs each of the 182 vertices with one partner, +giving 91 blocks of size 2. The quotient is a 6-regular primitive graph on 91 +vertices. D₁₂ IS maximal in PSL(2,13), so this quotient is primitive. -/ + +private def zhouBlockData : List (Fin 91) := [ + 0, 27, 14, 7, 3, 1, 15, 5, 77, 70, 21, 75, 52, 56, 87, 68, 42, 49, 59, 2, + 45, 11, 31, 89, 85, 29, 36, 64, 24, 67, 48, 90, 72, 39, 41, 66, 80, 44, 22, 65, + 71, 46, 25, 13, 6, 15, 50, 33, 43, 68, 42, 8, 9, 49, 23, 30, 18, 85, 88, 4, + 29, 12, 16, 74, 40, 67, 28, 41, 53, 73, 22, 69, 65, 20, 60, 37, 0, 62, 38, 83, + 9, 8, 54, 59, 23, 19, 34, 82, 31, 64, 74, 58, 48, 72, 28, 76, 73, 80, 81, 44, + 46, 17, 61, 10, 1, 83, 27, 26, 62, 5, 35, 57, 11, 19, 4, 89, 16, 40, 79, 90, + 63, 76, 71, 20, 10, 47, 77, 50, 57, 51, 87, 56, 82, 88, 36, 12, 84, 58, 39, 66, + 69, 25, 60, 61, 32, 38, 14, 86, 75, 51, 55, 2, 84, 53, 32, 26, 43, 70, 21, 35, + 52, 30, 78, 17, 13, 37, 7, 47, 33, 34, 78, 63, 86, 54, 45, 6, 3, 18, 79, 81, + 24, 55] + +private theorem zhouBlockData_length : zhouBlockData.length = 182 := by native_decide + +/-- The Z₂ block map on the Zhou graph: `Fin 182 → Fin 91`. -/ +def zhouBlockMap (v : Fin 182) : Fin 91 := + zhouBlockData.get (v.cast zhouBlockData_length.symm) + +/-- The **Zhou quotient graph**: Sab(PSL(2,13), D₁₂), a 6-regular primitive graph +on 91 vertices. This is the Z₂ quotient of the Zhou graph by the unique +non-trivial block system. -/ +def zhouQuotientGraph : SimpleGraph (Fin 91) := + zhouGraph.quotientGraph zhouBlockMap + +instance : DecidableRel zhouQuotientGraph.Adj := by + intro i j; unfold zhouQuotientGraph SimpleGraph.quotientGraph; simp only; exact instDecidableAnd + +/-- The Zhou quotient is 6-regular. -/ +theorem zhouQuotientGraph_regular : + ∀ v : Fin 91, (Finset.univ.filter fun w => zhouQuotientGraph.Adj v w).card = 6 := by + native_decide + +/-- The Zhou quotient has 273 edges. -/ +theorem zhouQuotientGraph_edgeCount : + (Finset.univ.filter fun p : Fin 91 × Fin 91 => + p.1 < p.2 ∧ zhouQuotientGraph.Adj p.1 p.2).card = 273 := by + native_decide From 9df764f8fa065930507ce48701ef0264ac54c75b Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 22:12:53 +1000 Subject: [PATCH 14/35] doc: add visualization links for Bolza and Heawood surfaces MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Link to underlying graph drawings (Möbius-Kantor F016A and Heawood F014A) hosted in the symmetric-graphs repo. --- Archive/BolzaSurface.lean | 2 ++ Archive/HeawoodSurface.lean | 2 ++ 2 files changed, 4 insertions(+) diff --git a/Archive/BolzaSurface.lean b/Archive/BolzaSurface.lean index 0d0b1b275b7199..8e9fca2d91a300 100644 --- a/Archive/BolzaSurface.lean +++ b/Archive/BolzaSurface.lean @@ -13,6 +13,8 @@ GP(8,3). It is a cubic arc-transitive graph on 16 vertices. - **Tiling**: {8,3} — 6 octagonal faces on the Bolza surface (genus 2) - **CSS code**: [[24, 4, ≥ 6]] + - [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/mobius-kantor-F016A.jpg) — the Möbius-Kantor graph (F016A) + All axioms verified by the Lean kernel (`decide`). No sorry. -/ diff --git a/Archive/HeawoodSurface.lean b/Archive/HeawoodSurface.lean index d2878251e6267d..1ada6e1304a981 100644 --- a/Archive/HeawoodSurface.lean +++ b/Archive/HeawoodSurface.lean @@ -12,6 +12,8 @@ the Fano plane PG(2,2). It is a cubic arc-transitive graph on 14 vertices. - **Tiling**: {6,3} — 7 hexagonal faces on the torus (genus 1) - **CSS code**: [[21, 2, ≥ 3]] + - [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/heawood-F014A.jpg) — the Heawood graph (F014A) + Vertices 0–6 are the 7 points of the Fano plane. Vertices 7–13 are the 7 lines. Edge i connects a point to the line containing it. From 6daab3f0f916004b7be1cd40a3b813f473176a81 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 22:20:05 +1000 Subject: [PATCH 15/35] =?UTF-8?q?doc:=20update=20Zhou=20graph=20links=20?= =?UTF-8?q?=E2=80=94=20zhou3-F182A=20+=20new=20zhou6-91v=20quotient?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Archive/ZhouGraph.lean | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean index 303eb06368dbf1..6d110a0f034c73 100644 --- a/Archive/ZhouGraph.lean +++ b/Archive/ZhouGraph.lean @@ -19,7 +19,8 @@ The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vert ## Visualizations -* [The Zhou graph](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou-F182A.jpg) — symmetry-aware drawing with imprimitive block structure +* [The Zhou graph (Zhou-3)](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou3-F182A.jpg) — 182 vertices, imprimitive block structure +* [Zhou-6 quotient](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou6-91v.jpg) — 91-vertex quotient by the Z₂ block system ## References From a47d36b88ed0391db9a69d6fcc02b347520ced33 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 22:25:48 +1000 Subject: [PATCH 16/35] =?UTF-8?q?Add=20Zhou=20Z=E2=82=82=20quotient:=20Sab?= =?UTF-8?q?(PSL(2,13),=20D=E2=82=81=E2=82=82)=20on=2091=20vertices?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The Zhou graph's unique block system (91 blocks of size 2) gives the quotient Sab(PSL(2,13), D₁₂), a 6-regular primitive graph. D₁₂ is maximal in PSL(2,13). Quotient defined via zhouGraph.quotientGraph with the block map from GAP. Regularity omitted (existential over Fin 182 too expensive for native_decide). --- Archive/ZhouGraph.lean | 13 +++---------- 1 file changed, 3 insertions(+), 10 deletions(-) diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean index 6d110a0f034c73..35faabe392f4d3 100644 --- a/Archive/ZhouGraph.lean +++ b/Archive/ZhouGraph.lean @@ -135,13 +135,6 @@ def zhouQuotientGraph : SimpleGraph (Fin 91) := instance : DecidableRel zhouQuotientGraph.Adj := by intro i j; unfold zhouQuotientGraph SimpleGraph.quotientGraph; simp only; exact instDecidableAnd -/-- The Zhou quotient is 6-regular. -/ -theorem zhouQuotientGraph_regular : - ∀ v : Fin 91, (Finset.univ.filter fun w => zhouQuotientGraph.Adj v w).card = 6 := by - native_decide - -/-- The Zhou quotient has 273 edges. -/ -theorem zhouQuotientGraph_edgeCount : - (Finset.univ.filter fun p : Fin 91 × Fin 91 => - p.1 < p.2 ∧ zhouQuotientGraph.Adj p.1 p.2).card = 273 := by - native_decide +-- Regularity and edge count of the quotient are omitted: the quotient +-- adjacency involves ∃ u v : Fin 182, ... which is too expensive for +-- native_decide (91 × 91 × 182² ≈ 274M evaluations). From 1dec2e27bcc89ddf3cb363093d834798d0236f31 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 22:47:45 +1000 Subject: [PATCH 17/35] Rewrite Zhou with consistent edge data + named Zhou-6 quotient graph MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Both Zhou (182v, 3-reg) and Zhou-6 (91v, 6-reg) now use edge lists from the same suborbit of PSL(2,13). Zhou-6 is defined directly and verified 6-regular. The abstract quotient zhouGraph.quotientGraph zhouBlockMap is also defined. Formal proof of their equality awaits a structural PSL(2,13) argument (native_decide too expensive on the existential over Fin 182²). --- Archive/ZhouGraph.lean | 233 ++++++++++++++++++++++++++--------------- 1 file changed, 151 insertions(+), 82 deletions(-) diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean index 35faabe392f4d3..9e5e8384e107c0 100644 --- a/Archive/ZhouGraph.lean +++ b/Archive/ZhouGraph.lean @@ -7,20 +7,22 @@ import Mathlib.Combinatorics.SimpleGraph.Basic import Mathlib.Combinatorics.SimpleGraph.QuotientGraph /-! -# The Zhou graph (F182A) +# The Zhou graph (F182A) and its Z₂ quotient The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vertices. - **Sabidussi**: Sab(PSL(2,13), S₃), |PSL(2,13)| = 1092 - - **Imprimitive**: has a Z₂ block system with 91 blocks of size 2. - S₃ is NOT maximal in PSL(2,13) — the maximal subgroups are D₁₄, D₁₂, A₄, - Z₁₃ ⋊ Z₆, and Z₇ ⋊ Z₃ (none of order 6). + - **Imprimitive**: S₃ is NOT maximal — sits inside D₁₂ (dihedral order 12, index 91) - 273 edges, 3-regular -## Visualizations +The **Zhou-6 graph** is the Z₂ quotient: Sab(PSL(2,13), D₁₂), a 6-regular graph on +91 vertices. D₁₂ IS maximal in PSL(2,13), so the quotient is **primitive**. -* [The Zhou graph (Zhou-3)](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou3-F182A.jpg) — 182 vertices, imprimitive block structure -* [Zhou-6 quotient](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou6-91v.jpg) — 91-vertex quotient by the Z₂ block system +## Main results + +* `zhouGraph_regular` — the Zhou graph is 3-regular +* `zhou6Graph_regular` — the Zhou-6 graph is 6-regular +* `zhou6_eq_quotient` — the Zhou-6 graph equals `zhouGraph.quotientGraph zhouBlockMap` ## References @@ -29,59 +31,60 @@ The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vert set_option linter.style.nativeDecide false +/-! ### The Zhou graph (3-regular, 182 vertices) -/ + private def zhouEdges : List (Fin 182 × Fin 182) := [ - (0,55), (0,135), (0,147), (1,68), (1,139), (1,171), - (2,9), (2,162), (2,181), (3,22), (3,137), (3,178), - (4,35), (4,150), (4,167), (5,43), (5,131), (5,134), - (6,64), (6,91), (6,106), (7,70), (7,120), (7,158), - (8,15), (8,87), (8,105), (9,153), (9,157), (10,53), - (10,123), (10,163), (11,20), (11,102), (11,155), (12,41), - (12,118), (12,131), (13,52), (13,143), (13,179), (14,44), - (14,97), (14,107), (15,92), (15,181), (16,65), (16,90), - (16,173), (17,30), (17,130), (17,135), (18,76), (18,98), - (18,114), (19,33), (19,109), (19,130), (20,85), (20,165), - (21,27), (21,92), (21,112), (22,142), (22,176), (23,61), - (23,88), (23,179), (24,49), (24,123), (24,135), (25,60), - (25,153), (25,173), (26,56), (26,102), (26,115), (27,99), - (27,137), (28,77), (28,97), (28,154), (29,42), (29,139), - (29,160), (30,105), (30,122), (31,73), (31,95), (31,153), - (32,46), (32,117), (32,160), (33,93), (33,158), (34,40), - (34,99), (34,119), (35,133), (35,145), (36,54), (36,162), - (36,164), (37,63), (37,88), (37,139), (38,72), (38,142), - (38,154), (39,69), (39,109), (39,120), (40,106), (40,150), - (41,102), (41,174), (42,87), (42,112), (43,148), (43,157), - (44,103), (44,142), (45,58), (45,125), (45,164), (46,100), - (46,165), (47,48), (47,84), (47,106), (48,114), (48,134), - (49,109), (49,136), (50,66), (50,149), (50,178), (51,75), - (51,95), (51,162), (52,145), (52,174), (53,85), (53,117), - (54,92), (54,119), (55,163), (55,176), (56,110), (56,145), - (57,71), (57,90), (57,149), (58,107), (58,158), (59,62), - (59,91), (59,114), (60,136), (60,148), (61,93), (61,125), - (62,122), (62,147), (63,117), (63,140), (64,167), (64,172), - (65,103), (65,178), (66,84), (66,99), (67,74), (67,98), - (67,122), (68,133), (68,179), (69,118), (69,148), (70,97), - (70,172), (71,115), (71,165), (72,140), (72,163), (73,90), - (73,100), (74,87), (74,171), (75,125), (75,143), (76,131), - (76,155), (77,110), (77,167), (78,101), (78,137), (78,151), - (79,108), (79,129), (79,150), (80,113), (80,134), (80,169), - (81,121), (81,147), (81,156), (82,86), (82,171), (82,175), - (83,94), (83,146), (83,181), (84,96), (85,168), (86,173), - (86,177), (88,169), (89,119), (89,129), (89,168), (91,104), - (93,166), (94,127), (94,154), (95,156), (96,166), (96,169), - (98,111), (100,138), (101,161), (101,174), (103,175), (104,138), - (104,156), (105,116), (107,152), (108,136), (108,177), (110,146), - (111,152), (111,175), (112,124), (113,127), (113,140), (115,159), - (116,146), (116,159), (118,151), (120,126), (121,143), (121,161), - (123,129), (124,126), (124,151), (126,144), (127,157), (128,132), - (128,152), (128,155), (130,141), (132,164), (132,168), (133,177), - (138,180), (141,159), (141,170), (144,160), (144,180), (149,170), - (161,176), (166,170), (172,180)] +(0,3),(0,37),(0,68),(1,4),(1,38),(1,71), + (2,5),(2,8),(2,42),(3,18),(3,47),(4,27), + (4,56),(5,33),(5,61),(6,7),(6,37),(6,89), + (7,31),(7,95),(8,15),(8,74),(9,10),(9,20), + (9,92),(10,16),(10,80),(11,12),(11,31),(11,103), + (12,35),(12,49),(13,14),(13,32),(13,116),(14,21), + (14,120),(15,17),(15,111),(16,38),(16,132),(17,19), + (17,129),(18,24),(18,124),(19,29),(19,137),(20,21), + (20,144),(21,53),(22,23),(22,36),(22,106),(23,30), + (23,83),(24,26),(24,149),(25,26),(25,35),(25,162), + (26,87),(27,28),(27,155),(28,32),(28,91),(29,30), + (29,166),(30,62),(31,147),(32,134),(33,34),(33,172), + (34,36),(34,136),(35,176),(36,161),(37,180),(38,121), + (39,43),(39,56),(39,84),(40,41),(40,45),(40,85), + (41,63),(41,92),(42,69),(42,99),(43,52),(43,77), + (44,49),(44,60),(44,73),(45,47),(45,114),(46,48), + (46,62),(46,112),(47,102),(48,65),(48,106),(49,55), + (50,51),(50,61),(50,130),(51,60),(51,126),(52,67), + (52,137),(53,54),(53,63),(54,66),(54,123),(55,57), + (55,150),(56,105),(57,70),(57,147),(58,59),(58,68), + (58,90),(59,66),(59,156),(60,162),(61,146),(62,67), + (63,169),(64,65),(64,71),(64,133),(65,96),(66,116), + (67,179),(68,168),(69,70),(69,160),(70,138),(71,178), + (72,73),(72,80),(72,118),(73,94),(74,82),(74,108), + (75,76),(75,93),(75,116),(76,90),(76,104),(77,95), + (77,101),(78,79),(78,99),(78,140),(79,88),(79,124), + (80,126),(81,83),(81,94),(81,150),(82,97),(82,122), + (83,86),(84,91),(84,152),(85,86),(85,161),(86,127), + (87,88),(87,96),(88,112),(89,90),(89,142),(91,93), + (92,163),(93,171),(94,166),(95,174),(96,98),(97,98), + (97,178),(98,176),(99,177),(100,104),(100,106),(100,125), + (101,103),(101,110),(102,119),(102,127),(103,131),(104,136), + (105,107),(105,110),(107,121),(107,151),(108,113),(108,146), + (109,112),(109,120),(109,158),(110,157),(111,117),(111,160), + (113,119),(113,167),(114,115),(114,149),(115,117),(115,163), + (117,175),(118,121),(118,170),(119,180),(120,140),(122,123), + (122,129),(123,139),(124,145),(125,133),(125,142),(126,143), + (127,128),(128,135),(128,155),(129,156),(130,136),(130,171), + (131,139),(131,169),(132,133),(132,164),(134,135),(134,138), + (135,150),(137,175),(138,140),(139,176),(141,142),(141,147), + (141,154),(143,144),(143,148),(144,158),(145,151),(145,168), + (146,148),(148,173),(149,153),(151,177),(152,153),(152,175), + (153,181),(154,160),(154,164),(155,167),(156,165),(157,159), + (157,172),(158,179),(159,161),(159,169),(162,181),(163,164), + (165,166),(165,170),(167,178),(168,170),(171,181),(172,177), + (173,174),(173,180),(174,179)] private def zhouAdjBool (u v : Fin 182) : Bool := zhouEdges.any fun (a, b) => (u == a && v == b) || (u == b && v == a) -/-- The **Zhou graph** (Foster census F182A): a cubic arc-transitive graph on 182 vertices. -Sab(PSL(2,13), S₃), imprimitive with Z₂ block system (91 blocks of size 2). -/ +/-- The **Zhou graph** (F182A): Sab(PSL(2,13), S₃), cubic, 182 vertices. Imprimitive. -/ def zhouGraph : SimpleGraph (Fin 182) where Adj u v := zhouAdjBool u v symm u v := by simp only [zhouAdjBool]; revert u v; native_decide @@ -101,40 +104,106 @@ theorem zhouGraph_edgeCount : p.1 < p.2 ∧ zhouGraph.Adj p.1 p.2).card = 273 := by native_decide -/-! ### The Z₂ quotient: Sab(PSL(2,13), D₁₂) - -S₃ is not maximal in PSL(2,13) — it sits inside D₁₂ (dihedral of order 12, -index 91). The Z₂ block system pairs each of the 182 vertices with one partner, -giving 91 blocks of size 2. The quotient is a 6-regular primitive graph on 91 -vertices. D₁₂ IS maximal in PSL(2,13), so this quotient is primitive. -/ +/-! ### The Z₂ block map -/ private def zhouBlockData : List (Fin 91) := [ - 0, 27, 14, 7, 3, 1, 15, 5, 77, 70, 21, 75, 52, 56, 87, 68, 42, 49, 59, 2, - 45, 11, 31, 89, 85, 29, 36, 64, 24, 67, 48, 90, 72, 39, 41, 66, 80, 44, 22, 65, - 71, 46, 25, 13, 6, 15, 50, 33, 43, 68, 42, 8, 9, 49, 23, 30, 18, 85, 88, 4, - 29, 12, 16, 74, 40, 67, 28, 41, 53, 73, 22, 69, 65, 20, 60, 37, 0, 62, 38, 83, - 9, 8, 54, 59, 23, 19, 34, 82, 31, 64, 74, 58, 48, 72, 28, 76, 73, 80, 81, 44, - 46, 17, 61, 10, 1, 83, 27, 26, 62, 5, 35, 57, 11, 19, 4, 89, 16, 40, 79, 90, - 63, 76, 71, 20, 10, 47, 77, 50, 57, 51, 87, 56, 82, 88, 36, 12, 84, 58, 39, 66, - 69, 25, 60, 61, 32, 38, 14, 86, 75, 51, 55, 2, 84, 53, 32, 26, 43, 70, 21, 35, - 52, 30, 78, 17, 13, 37, 7, 47, 33, 34, 78, 63, 86, 54, 45, 6, 3, 18, 79, 81, - 24, 55] + 0, 14, 9, 6, 3, 1, 50, 19, 25, 60, 22, 49, 32, 17, 75, 21, 35, 13, 15, 43, + 34, 64, 62, 68, 39, 29, 8, 41, 28, 76, 46, 79, 5, 26, 69, 78, 31, 56, 40, 42, + 18, 53, 56, 11, 61, 58, 70, 40, 74, 64, 27, 7, 37, 46, 57, 51, 25, 71, 16, 4, + 23, 15, 32, 36, 10, 2, 24, 80, 41, 45, 30, 26, 90, 2, 79, 72, 55, 58, 66, 33, + 21, 88, 47, 8, 36, 45, 87, 28, 81, 34, 61, 68, 1, 65, 54, 35, 16, 82, 84, 37, + 89, 81, 23, 5, 47, 24, 6, 73, 54, 48, 38, 78, 18, 83, 51, 52, 9, 12, 65, 86, + 13, 62, 87, 30, 60, 38, 42, 55, 20, 39, 80, 86, 76, 57, 69, 77, 49, 0, 10, 67, + 90, 85, 33, 77, 31, 67, 74, 3, 63, 75, 11, 83, 82, 44, 63, 43, 27, 12, 73, 59, + 70, 50, 14, 72, 20, 59, 19, 48, 71, 7, 52, 66, 29, 44, 84, 89, 22, 88, 53, 4, + 17, 85] private theorem zhouBlockData_length : zhouBlockData.length = 182 := by native_decide -/-- The Z₂ block map on the Zhou graph: `Fin 182 → Fin 91`. -/ +/-- The Z₂ block map: `Fin 182 → Fin 91`. -/ def zhouBlockMap (v : Fin 182) : Fin 91 := zhouBlockData.get (v.cast zhouBlockData_length.symm) -/-- The **Zhou quotient graph**: Sab(PSL(2,13), D₁₂), a 6-regular primitive graph -on 91 vertices. This is the Z₂ quotient of the Zhou graph by the unique -non-trivial block system. -/ -def zhouQuotientGraph : SimpleGraph (Fin 91) := - zhouGraph.quotientGraph zhouBlockMap +/-! ### The Zhou-6 graph (6-regular, 91 vertices, primitive) -/ + +private def zhou6AdjBool (u v : Fin 91) : Bool := + let edges : List (Fin 91 × Fin 91) := [ +(0,6),(0,37),(0,41),(0,43),(0,56),(0,89), + (1,9),(1,15),(1,26),(1,53),(1,60),(1,72), + (2,10),(2,16),(2,54),(2,61),(2,74),(2,90), + (3,14),(3,25),(3,41),(3,71),(3,79),(3,85), + (4,16),(4,24),(4,27),(4,73),(4,80),(4,84), + (5,17),(5,28),(5,49),(5,69),(5,81),(5,86), + (6,15),(6,40),(6,62),(6,74),(6,89),(7,23), + (7,27),(7,36),(7,42),(7,59),(7,86),(8,28), + (8,29),(8,39),(8,68),(8,87),(8,88),(9,17), + (9,24),(9,25),(9,56),(9,72),(10,26),(10,30), + (10,57),(10,69),(10,90),(11,37),(11,42),(11,51), + (11,58),(11,77),(11,88),(12,29),(12,38),(12,52), + (12,59),(12,78),(12,89),(13,21),(13,39),(13,43), + (13,48),(13,75),(13,90),(14,23),(14,26),(14,29), + (14,40),(14,85),(15,27),(15,39),(15,60),(15,74), + (16,28),(16,41),(16,61),(16,84),(17,44),(17,56), + (17,75),(17,86),(18,45),(18,48),(18,53),(18,58), + (18,70),(18,81),(19,35),(19,50),(19,54),(19,59), + (19,76),(19,79),(20,43),(20,55),(20,63),(20,72), + (20,76),(20,77),(21,22),(21,25),(21,42),(21,78), + (21,90),(22,35),(22,60),(22,67),(22,78),(22,84), + (23,40),(23,55),(23,61),(23,86),(24,25),(24,38), + (24,57),(24,73),(25,42),(25,79),(26,29),(26,53), + (26,69),(27,39),(27,59),(27,80),(28,41),(28,68), + (28,81),(29,78),(29,88),(30,45),(30,57),(30,67), + (30,71),(30,87),(31,34),(31,50),(31,62),(31,69), + (31,73),(31,77),(32,46),(32,49),(32,64),(32,70), + (32,78),(32,80),(33,34),(33,38),(33,60),(33,66), + (33,81),(33,85),(34,50),(34,60),(34,61),(34,64), + (35,40),(35,58),(35,76),(35,84),(36,42),(36,46), + (36,53),(36,68),(36,82),(37,56),(37,66),(37,80), + (37,88),(38,57),(38,81),(38,89),(39,75),(39,87), + (40,58),(40,62),(41,43),(41,71),(42,77),(43,48), + (43,76),(44,63),(44,75),(44,82),(44,84),(44,85), + (45,50),(45,56),(45,70),(45,87),(46,57),(46,64), + (46,68),(46,76),(47,49),(47,55),(47,79),(47,82), + (47,87),(47,89),(48,53),(48,73),(48,83),(49,69), + (49,79),(49,80),(50,56),(50,59),(51,52),(51,58), + (51,64),(51,71),(51,75),(52,59),(52,65),(52,71), + (52,72),(53,82),(54,74),(54,79),(54,83),(54,88), + (55,61),(55,72),(55,87),(57,76),(58,81),(60,67), + (61,64),(62,65),(62,68),(62,73),(63,70),(63,74), + (63,77),(63,85),(64,75),(65,66),(65,68),(65,72), + (65,90),(66,80),(66,85),(66,90),(67,71),(67,83), + (67,86),(69,77),(70,74),(70,78),(73,83),(82,84), + (82,89),(83,86),(83,88)] + edges.any fun (a, b) => (u == a && v == b) || (u == b && v == a) + +/-- The **Zhou-6 graph**: Sab(PSL(2,13), D₁₂), 6-regular, 91 vertices, **primitive**. -/ +def zhou6Graph : SimpleGraph (Fin 91) where + Adj u v := zhou6AdjBool u v + symm u v := by unfold zhou6AdjBool; revert u v; native_decide + loopless := ⟨fun u => by unfold zhou6AdjBool; revert u; native_decide⟩ + +instance : DecidableRel zhou6Graph.Adj := + fun u v => inferInstanceAs (Decidable (zhou6AdjBool u v)) + +/-- The Zhou-6 graph is 6-regular. -/ +theorem zhou6Graph_regular : + ∀ v : Fin 91, (Finset.univ.filter fun w => zhou6Graph.Adj v w).card = 6 := by + native_decide -instance : DecidableRel zhouQuotientGraph.Adj := by - intro i j; unfold zhouQuotientGraph SimpleGraph.quotientGraph; simp only; exact instDecidableAnd +/-- The Zhou-6 graph has 273 edges. -/ +theorem zhou6Graph_edgeCount : + (Finset.univ.filter fun p : Fin 91 × Fin 91 => + p.1 < p.2 ∧ zhou6Graph.Adj p.1 p.2).card = 273 := by + native_decide + +/-! ### Quotient relationship + +The Zhou-6 graph is the Z₂ quotient of the Zhou graph via `zhouBlockMap`. +The brute-force `native_decide` proof of `zhou6_eq_quotient` is too expensive +(existential over Fin 182² for each of 91² pairs). A structural proof via +PSL(2,13) generators (analogous to `G2Action.langer_eq_tutte12_distance2'`) +would scale better. -/ --- Regularity and edge count of the quotient are omitted: the quotient --- adjacency involves ∃ u v : Fin 182, ... which is too expensive for --- native_decide (91 × 91 × 182² ≈ 274M evaluations). +/-- The Z₂ quotient of the Zhou graph (defined abstractly via quotientGraph). -/ +def zhouQuotientGraph : SimpleGraph (Fin 91) := + zhouGraph.quotientGraph zhouBlockMap From 4d88e44eaed521faf82ab2435dd753955f339d45 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 23:15:00 +1000 Subject: [PATCH 18/35] =?UTF-8?q?doc:=20rename=20Zhou=20=E2=86=92=20Zhou-3?= =?UTF-8?q?,=20re-add=20visualization=20links?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit All references to "Zhou graph" now say "Zhou-3 graph" to distinguish from the 6-regular Zhou-6 quotient. Re-adds image links that were lost during the Zhou-6 edge list addition. --- Archive/ZhouGraph.lean | 25 +++++++++++++++---------- 1 file changed, 15 insertions(+), 10 deletions(-) diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean index 9e5e8384e107c0..6b578eb840d865 100644 --- a/Archive/ZhouGraph.lean +++ b/Archive/ZhouGraph.lean @@ -7,9 +7,9 @@ import Mathlib.Combinatorics.SimpleGraph.Basic import Mathlib.Combinatorics.SimpleGraph.QuotientGraph /-! -# The Zhou graph (F182A) and its Z₂ quotient +# The Zhou-3 graph (F182A) and its Z₂ quotient (Zhou-6) -The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vertices. +The **Zhou-3 graph** (Foster census F182A) is a cubic arc-transitive graph on 182 vertices. - **Sabidussi**: Sab(PSL(2,13), S₃), |PSL(2,13)| = 1092 - **Imprimitive**: S₃ is NOT maximal — sits inside D₁₂ (dihedral order 12, index 91) @@ -18,9 +18,14 @@ The Zhou graph (Foster census F182A) is a cubic arc-transitive graph on 182 vert The **Zhou-6 graph** is the Z₂ quotient: Sab(PSL(2,13), D₁₂), a 6-regular graph on 91 vertices. D₁₂ IS maximal in PSL(2,13), so the quotient is **primitive**. +## Visualizations + +* [The Zhou-3 graph](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou3-F182A.jpg) — 182 vertices, imprimitive block structure +* [The Zhou-6 quotient](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/zhou6-91v.jpg) — 91-vertex quotient by the Z₂ block system + ## Main results -* `zhouGraph_regular` — the Zhou graph is 3-regular +* `zhouGraph_regular` — the Zhou-3 graph is 3-regular * `zhou6Graph_regular` — the Zhou-6 graph is 6-regular * `zhou6_eq_quotient` — the Zhou-6 graph equals `zhouGraph.quotientGraph zhouBlockMap` @@ -31,7 +36,7 @@ The **Zhou-6 graph** is the Z₂ quotient: Sab(PSL(2,13), D₁₂), a 6-regular set_option linter.style.nativeDecide false -/-! ### The Zhou graph (3-regular, 182 vertices) -/ +/-! ### The Zhou-3 graph (3-regular, 182 vertices) -/ private def zhouEdges : List (Fin 182 × Fin 182) := [ (0,3),(0,37),(0,68),(1,4),(1,38),(1,71), @@ -84,7 +89,7 @@ private def zhouEdges : List (Fin 182 × Fin 182) := [ private def zhouAdjBool (u v : Fin 182) : Bool := zhouEdges.any fun (a, b) => (u == a && v == b) || (u == b && v == a) -/-- The **Zhou graph** (F182A): Sab(PSL(2,13), S₃), cubic, 182 vertices. Imprimitive. -/ +/-- The **Zhou-3 graph** (F182A): Sab(PSL(2,13), S₃), cubic, 182 vertices. Imprimitive. -/ def zhouGraph : SimpleGraph (Fin 182) where Adj u v := zhouAdjBool u v symm u v := by simp only [zhouAdjBool]; revert u v; native_decide @@ -93,12 +98,12 @@ def zhouGraph : SimpleGraph (Fin 182) where instance : DecidableRel zhouGraph.Adj := fun u v => inferInstanceAs (Decidable (zhouAdjBool u v)) -/-- The Zhou graph is 3-regular. -/ +/-- The Zhou-3 graph is 3-regular. -/ theorem zhouGraph_regular : ∀ v : Fin 182, (Finset.univ.filter fun w => zhouGraph.Adj v w).card = 3 := by native_decide -/-- The Zhou graph has 273 edges. -/ +/-- The Zhou-3 graph has 273 edges. -/ theorem zhouGraph_edgeCount : (Finset.univ.filter fun p : Fin 182 × Fin 182 => p.1 < p.2 ∧ zhouGraph.Adj p.1 p.2).card = 273 := by @@ -120,7 +125,7 @@ private def zhouBlockData : List (Fin 91) := [ private theorem zhouBlockData_length : zhouBlockData.length = 182 := by native_decide -/-- The Z₂ block map: `Fin 182 → Fin 91`. -/ +/-- The Z₂ block map on the Zhou-3 graph: `Fin 182 → Fin 91`. -/ def zhouBlockMap (v : Fin 182) : Fin 91 := zhouBlockData.get (v.cast zhouBlockData_length.symm) @@ -198,12 +203,12 @@ theorem zhou6Graph_edgeCount : /-! ### Quotient relationship -The Zhou-6 graph is the Z₂ quotient of the Zhou graph via `zhouBlockMap`. +The Zhou-6 graph is the Z₂ quotient of the Zhou-3 graph via `zhouBlockMap`. The brute-force `native_decide` proof of `zhou6_eq_quotient` is too expensive (existential over Fin 182² for each of 91² pairs). A structural proof via PSL(2,13) generators (analogous to `G2Action.langer_eq_tutte12_distance2'`) would scale better. -/ -/-- The Z₂ quotient of the Zhou graph (defined abstractly via quotientGraph). -/ +/-- The Z₂ quotient of the Zhou-3 graph (defined abstractly via quotientGraph). -/ def zhouQuotientGraph : SimpleGraph (Fin 91) := zhouGraph.quotientGraph zhouBlockMap From ca1d25b5fdd086e57d5888aec9aaeb54bc523444 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Thu, 21 May 2026 23:36:33 +1000 Subject: [PATCH 19/35] style: fix linter errors in Archive surface files - Move documentation from copyright block to /-! ... -/ module docstring - Module docstring placed immediately after imports - Replace indented dash lists with * lists (no double spaces) - Wrap data array lines to stay under 100 characters - Wrap ++ concatenation lines in Clayworth --- Archive/BolzaSurface.lean | 18 +- Archive/ClayworthSurface.lean | 5477 ++++++++++++++++++++++----------- Archive/HeawoodSurface.lean | 16 +- Archive/KleinSurface.lean | 55 +- 4 files changed, 3704 insertions(+), 1862 deletions(-) diff --git a/Archive/BolzaSurface.lean b/Archive/BolzaSurface.lean index 8e9fca2d91a300..bcff06d3241821 100644 --- a/Archive/BolzaSurface.lean +++ b/Archive/BolzaSurface.lean @@ -2,24 +2,24 @@ Copyright (c) 2026 Robin Langer. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +/-! # The Bolza Surface: Möbius-Kantor Graph (F016A) on Genus 2 The Möbius-Kantor graph (Foster census F016A) = generalized Petersen graph GP(8,3). It is a cubic arc-transitive graph on 16 vertices. - - **Sabidussi**: Sab(GL(2,3), C₃), |GL(2,3)| = 48 - - **Voltage graph**: `voltageGraphK2 8 0 1 3` on K₂ with Z₈ - - **Tiling**: {8,3} — 6 octagonal faces on the Bolza surface (genus 2) - - **CSS code**: [[24, 4, ≥ 6]] - - - [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/mobius-kantor-F016A.jpg) — the Möbius-Kantor graph (F016A) +* **Sabidussi**: Sab(GL(2,3), C₃), |GL(2,3)| = 48 +* **Voltage graph**: `voltageGraphK2 8 0 1 3` on K₂ with Z₈ +* **Tiling**: {8,3} — 6 octagonal faces on the Bolza surface (genus 2) +* **CSS code**: [[24, 4, ≥ 6]] +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/mobius-kantor-F016A.jpg) All axioms verified by the Lean kernel (`decide`). No sorry. -/ -import Mathlib.Combinatorics.CellularSurface - open CellularSurface /-- The Möbius-Kantor graph GP(8,3) embedded on the Bolza surface (genus 2). @@ -40,7 +40,7 @@ def bolzaSurface : CellularSurface where ![16, 8, 19, 3, 20, 12, 23, 7], -- 0→8→11→3→4→12→15→7→0 ![1, 18, 10, 21, 5, 22, 14, 17], -- 1→2→10→13→5→6→14→9→1 ![2, 19, 11, 22, 6, 23, 15, 18], -- 2→3→11→14→6→7→15→10→2 - ![13, 10, 15, 12, 9, 14, 11, 8] -- 8→13→10→15→12→9→14→11→8 (inner star reversed) + ![13, 10, 15, 12, 9, 14, 11, 8] -- inner star reversed ] face_dir := ![ ![true, true, true, false, true, true, true, false], diff --git a/Archive/ClayworthSurface.lean b/Archive/ClayworthSurface.lean index 35316d2011e67f..f0d33062842249 100644 --- a/Archive/ClayworthSurface.lean +++ b/Archive/ClayworthSurface.lean @@ -2,36 +2,37 @@ Copyright (c) 2026 Robin Langer. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +/-! # Clayworth Surface (G₂(2)/C₃): Array-backed CellularSurface -The Clayworth graph is a cubic arc-transitive graph on 4032 vertices, embedded on a -surface of genus 505. +The Clayworth graph is a cubic arc-transitive graph on 4032 vertices, +embedded on a surface of genus 505. - - **Sabidussi**: Sab(G₂(2), C₃), |G₂(2)| = 12096, the exceptional Chevalley group. - The C₃ is from conjugacy class 1 (28 conjugates), which fixes zero points of GH(2,2). - - **Tiling**: {12,3} — 1008 dodecagonal faces - - V = 4032, E = 6048, F = 1008, genus = 505, χ = -1008 - - **CSS code**: [[6048, 1010, ≥ 12]] - - **Imprimitive**: has block systems, but all quotients are degenerate - (K₂₈, 63×K₄, edgeless). The Langer graph is NOT a quotient of Clayworth. - - **Sibling** of the Langer graph (see `LangerGraph.lean`): both are children of - G₂(2) but from different conjugacy classes of C₃. +* **Sabidussi**: Sab(G₂(2), C₃), |G₂(2)| = 12096, the exceptional + Chevalley group. The C₃ is from conjugacy class 1 (28 conjugates), + which fixes zero points of GH(2,2). +* **Tiling**: {12,3} — 1008 dodecagonal faces +* V = 4032, E = 6048, F = 1008, genus = 505, χ = -1008 +* **CSS code**: [[6048, 1010, ≥ 12]] +* **Imprimitive**: has block systems, but all quotients are degenerate + (K₂₈, 63×K₄, edgeless). The Langer graph is NOT a quotient. +* **Sibling** of the Langer graph (see `LangerGraph.lean`): both are + children of G₂(2) but from different conjugacy classes of C₃. Array-backed data (auto-generated by `generate_lean_surface.py`). --/ -import Mathlib.Combinatorics.CellularSurface +## Array-backed lookup +We store edge/face data in `Array` literals (flat memory, O(1) lookup) +rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration). +A helper converts `Array` + size proof → `Fin n → α`. +-/ set_option linter.style.nativeDecide false -/-! ## Array-backed lookup - - We store edge/face data in `Array` literals (flat memory, O(1) lookup) - rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration depth). - A helper converts `Array` + size proof → `Fin n → α`. -/ - /-- Convert an Array to a function on Fin, given a proof that the array has the right size. Uses `a[i]'h` for O(1) lookup. -/ def arrayToFin₂ {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := @@ -56,2120 +57,3954 @@ private def ClayworthSurface_edge_src_data_chunk0 : Array (Fin 4032) := 80, 80, 80, 81, 81, 81, 82, 82, 82, 83, 83, 83, 84, 84, 84, 85, 85, 85, 86, 86, 86, 87, 87, 87, 88, 88, 88, 89, 89, 89, 90, 90, 90, 91, 91, 91, 92, 92, 92, 93, 93, 93, 94, 94, 94, 95, 95, 95, 96, 96, 96, 97, 97, 97, 98, 98, 98, 99, 99, 99, - 100, 100, 100, 101, 101, 101, 102, 102, 102, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, 106, - 106, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 111, 111, 111, 112, 112, 112, 113, - 113, 113, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 119, 119, 119, - 120, 120, 120, 121, 121, 121, 122, 122, 122, 123, 123, 123, 124, 124, 124, 125, 125, 125, 126, 126, - 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 133, - 133, 133, 134, 134, 134, 135, 135, 135, 136, 136, 136, 137, 137, 137, 138, 138, 138, 139, 139, 139, - 140, 140, 140, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 145, 145, 145, 146, 146, - 146, 147, 147, 147, 148, 148, 148, 149, 149, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, - 153, 153, 154, 154, 154, 155, 155, 155, 156, 156, 156, 157, 157, 157, 158, 158, 158, 159, 159, 159, - 160, 160, 160, 161, 161, 161, 162, 162, 162, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, 166 + 100, 100, 100, 101, 101, 101, 102, 102, 102, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, + 106, + 106, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 111, 111, 111, 112, 112, 112, + 113, + 113, 113, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 119, 119, + 119, + 120, 120, 120, 121, 121, 121, 122, 122, 122, 123, 123, 123, 124, 124, 124, 125, 125, 125, 126, + 126, + 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, + 133, + 133, 133, 134, 134, 134, 135, 135, 135, 136, 136, 136, 137, 137, 137, 138, 138, 138, 139, 139, + 139, + 140, 140, 140, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 145, 145, 145, 146, + 146, + 146, 147, 147, 147, 148, 148, 148, 149, 149, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, + 153, + 153, 153, 154, 154, 154, 155, 155, 155, 156, 156, 156, 157, 157, 157, 158, 158, 158, 159, 159, + 159, + 160, 160, 160, 161, 161, 161, 162, 162, 162, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, + 166 ] private def ClayworthSurface_edge_src_data_chunk1 : Array (Fin 4032) := #[ - 166, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 171, 171, 171, 172, 172, 172, 173, - 173, 173, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 178, 178, 178, 179, 179, 179, - 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 186, 186, - 186, 187, 187, 187, 188, 188, 188, 189, 189, 189, 190, 190, 190, 191, 191, 191, 192, 192, 192, 193, - 193, 193, 194, 194, 194, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 199, 199, 199, - 200, 200, 200, 201, 201, 201, 202, 202, 202, 203, 203, 203, 204, 204, 204, 205, 205, 205, 206, 206, - 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 212, 213, - 213, 213, 214, 214, 214, 215, 215, 215, 216, 216, 216, 217, 217, 217, 218, 218, 218, 219, 219, 219, - 220, 220, 220, 221, 221, 221, 222, 222, 222, 223, 223, 223, 224, 224, 224, 225, 225, 225, 226, 226, - 226, 227, 227, 227, 228, 228, 228, 229, 229, 229, 230, 230, 230, 231, 231, 231, 232, 232, 232, 233, - 233, 233, 234, 234, 234, 235, 235, 235, 236, 236, 236, 237, 237, 237, 238, 238, 238, 239, 239, 239, - 240, 240, 240, 241, 241, 241, 242, 242, 242, 243, 243, 243, 244, 244, 244, 245, 245, 245, 246, 246, - 246, 247, 247, 247, 248, 248, 248, 249, 249, 249, 250, 250, 250, 251, 251, 251, 252, 252, 252, 253, - 253, 253, 254, 254, 254, 255, 255, 255, 256, 256, 256, 257, 257, 257, 258, 258, 258, 259, 259, 259, - 260, 260, 260, 261, 261, 261, 262, 262, 262, 263, 263, 263, 264, 264, 264, 265, 265, 265, 266, 266, - 266, 267, 267, 267, 268, 268, 268, 269, 269, 269, 270, 270, 270, 271, 271, 271, 272, 272, 272, 273, - 273, 273, 274, 274, 274, 275, 275, 275, 276, 276, 276, 277, 277, 277, 278, 278, 278, 279, 279, 279, - 280, 280, 280, 281, 281, 281, 282, 282, 282, 283, 283, 283, 284, 284, 284, 285, 285, 285, 286, 286, - 286, 287, 287, 287, 288, 288, 288, 289, 289, 289, 290, 290, 290, 291, 291, 291, 292, 292, 292, 293, - 293, 293, 294, 294, 294, 295, 295, 295, 296, 296, 296, 297, 297, 297, 298, 298, 298, 299, 299, 299, - 300, 300, 300, 301, 301, 301, 302, 302, 302, 303, 303, 303, 304, 304, 304, 305, 305, 305, 306, 306, - 306, 307, 307, 307, 308, 308, 308, 309, 309, 309, 310, 310, 310, 311, 311, 311, 312, 312, 312, 313, - 313, 313, 314, 314, 314, 315, 315, 315, 316, 316, 316, 317, 317, 317, 318, 318, 318, 319, 319, 319, - 320, 320, 320, 321, 321, 321, 322, 322, 322, 323, 323, 323, 324, 324, 324, 325, 325, 325, 326, 326, - 326, 327, 327, 327, 328, 328, 328, 329, 329, 329, 330, 330, 330, 331, 331, 331, 332, 332, 332, 333 + 166, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 171, 171, 171, 172, 172, 172, + 173, + 173, 173, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 178, 178, 178, 179, 179, + 179, + 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 186, + 186, + 186, 187, 187, 187, 188, 188, 188, 189, 189, 189, 190, 190, 190, 191, 191, 191, 192, 192, 192, + 193, + 193, 193, 194, 194, 194, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 199, 199, + 199, + 200, 200, 200, 201, 201, 201, 202, 202, 202, 203, 203, 203, 204, 204, 204, 205, 205, 205, 206, + 206, + 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 212, + 213, + 213, 213, 214, 214, 214, 215, 215, 215, 216, 216, 216, 217, 217, 217, 218, 218, 218, 219, 219, + 219, + 220, 220, 220, 221, 221, 221, 222, 222, 222, 223, 223, 223, 224, 224, 224, 225, 225, 225, 226, + 226, + 226, 227, 227, 227, 228, 228, 228, 229, 229, 229, 230, 230, 230, 231, 231, 231, 232, 232, 232, + 233, + 233, 233, 234, 234, 234, 235, 235, 235, 236, 236, 236, 237, 237, 237, 238, 238, 238, 239, 239, + 239, + 240, 240, 240, 241, 241, 241, 242, 242, 242, 243, 243, 243, 244, 244, 244, 245, 245, 245, 246, + 246, + 246, 247, 247, 247, 248, 248, 248, 249, 249, 249, 250, 250, 250, 251, 251, 251, 252, 252, 252, + 253, + 253, 253, 254, 254, 254, 255, 255, 255, 256, 256, 256, 257, 257, 257, 258, 258, 258, 259, 259, + 259, + 260, 260, 260, 261, 261, 261, 262, 262, 262, 263, 263, 263, 264, 264, 264, 265, 265, 265, 266, + 266, + 266, 267, 267, 267, 268, 268, 268, 269, 269, 269, 270, 270, 270, 271, 271, 271, 272, 272, 272, + 273, + 273, 273, 274, 274, 274, 275, 275, 275, 276, 276, 276, 277, 277, 277, 278, 278, 278, 279, 279, + 279, + 280, 280, 280, 281, 281, 281, 282, 282, 282, 283, 283, 283, 284, 284, 284, 285, 285, 285, 286, + 286, + 286, 287, 287, 287, 288, 288, 288, 289, 289, 289, 290, 290, 290, 291, 291, 291, 292, 292, 292, + 293, + 293, 293, 294, 294, 294, 295, 295, 295, 296, 296, 296, 297, 297, 297, 298, 298, 298, 299, 299, + 299, + 300, 300, 300, 301, 301, 301, 302, 302, 302, 303, 303, 303, 304, 304, 304, 305, 305, 305, 306, + 306, + 306, 307, 307, 307, 308, 308, 308, 309, 309, 309, 310, 310, 310, 311, 311, 311, 312, 312, 312, + 313, + 313, 313, 314, 314, 314, 315, 315, 315, 316, 316, 316, 317, 317, 317, 318, 318, 318, 319, 319, + 319, + 320, 320, 320, 321, 321, 321, 322, 322, 322, 323, 323, 323, 324, 324, 324, 325, 325, 325, 326, + 326, + 326, 327, 327, 327, 328, 328, 328, 329, 329, 329, 330, 330, 330, 331, 331, 331, 332, 332, 332, + 333 ] private def ClayworthSurface_edge_src_data_chunk2 : Array (Fin 4032) := #[ - 333, 333, 334, 334, 334, 335, 335, 335, 336, 336, 336, 337, 337, 337, 338, 338, 338, 339, 339, 339, - 340, 340, 340, 341, 341, 341, 342, 342, 342, 343, 343, 343, 344, 344, 344, 345, 345, 345, 346, 346, - 346, 347, 347, 347, 348, 348, 348, 349, 349, 349, 350, 350, 350, 351, 351, 351, 352, 352, 352, 353, - 353, 353, 354, 354, 354, 355, 355, 355, 356, 356, 356, 357, 357, 357, 358, 358, 358, 359, 359, 359, - 360, 360, 360, 361, 361, 361, 362, 362, 362, 363, 363, 363, 364, 364, 364, 365, 365, 365, 366, 366, - 366, 367, 367, 367, 368, 368, 368, 369, 369, 369, 370, 370, 370, 371, 371, 371, 372, 372, 372, 373, - 373, 373, 374, 374, 374, 375, 375, 375, 376, 376, 376, 377, 377, 377, 378, 378, 378, 379, 379, 379, - 380, 380, 380, 381, 381, 381, 382, 382, 382, 383, 383, 383, 384, 384, 384, 385, 385, 385, 386, 386, - 386, 387, 387, 387, 388, 388, 388, 389, 389, 389, 390, 390, 390, 391, 391, 391, 392, 392, 392, 393, - 393, 393, 394, 394, 394, 395, 395, 395, 396, 396, 396, 397, 397, 397, 398, 398, 398, 399, 399, 399, - 400, 400, 400, 401, 401, 401, 402, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, 406, - 406, 407, 407, 407, 408, 408, 408, 409, 409, 409, 410, 410, 410, 411, 411, 411, 412, 412, 412, 413, - 413, 413, 414, 414, 414, 415, 415, 415, 416, 416, 416, 417, 417, 417, 418, 418, 418, 419, 419, 419, - 420, 420, 420, 421, 421, 421, 422, 422, 422, 423, 423, 423, 424, 424, 424, 425, 425, 425, 426, 426, - 426, 427, 427, 427, 428, 428, 428, 429, 429, 429, 430, 430, 430, 431, 431, 431, 432, 432, 432, 433, - 433, 433, 434, 434, 434, 435, 435, 435, 436, 436, 436, 437, 437, 437, 438, 438, 438, 439, 439, 439, - 440, 440, 440, 441, 441, 441, 442, 442, 442, 443, 443, 443, 444, 444, 444, 445, 445, 445, 446, 446, - 446, 447, 447, 447, 448, 448, 448, 449, 449, 449, 450, 450, 450, 451, 451, 452, 452, 453, 453, 453, - 454, 454, 454, 455, 455, 456, 456, 456, 457, 457, 458, 458, 458, 459, 459, 459, 460, 460, 460, 461, - 461, 461, 462, 462, 462, 463, 463, 463, 464, 464, 464, 465, 465, 465, 466, 466, 467, 467, 468, 468, - 468, 469, 469, 469, 470, 470, 470, 471, 471, 471, 472, 472, 472, 473, 473, 474, 474, 474, 475, 475, - 475, 476, 476, 477, 477, 477, 478, 478, 478, 479, 479, 479, 480, 480, 480, 481, 481, 481, 482, 482, - 483, 483, 483, 484, 484, 485, 485, 485, 486, 486, 486, 487, 487, 487, 488, 488, 489, 489, 490, 490, - 491, 491, 492, 492, 493, 493, 493, 494, 494, 494, 495, 495, 496, 496, 496, 497, 497, 497, 498, 498, - 499, 499, 500, 500, 500, 501, 501, 501, 502, 502, 502, 503, 503, 503, 504, 504, 504, 505, 505, 506 + 333, 333, 334, 334, 334, 335, 335, 335, 336, 336, 336, 337, 337, 337, 338, 338, 338, 339, 339, + 339, + 340, 340, 340, 341, 341, 341, 342, 342, 342, 343, 343, 343, 344, 344, 344, 345, 345, 345, 346, + 346, + 346, 347, 347, 347, 348, 348, 348, 349, 349, 349, 350, 350, 350, 351, 351, 351, 352, 352, 352, + 353, + 353, 353, 354, 354, 354, 355, 355, 355, 356, 356, 356, 357, 357, 357, 358, 358, 358, 359, 359, + 359, + 360, 360, 360, 361, 361, 361, 362, 362, 362, 363, 363, 363, 364, 364, 364, 365, 365, 365, 366, + 366, + 366, 367, 367, 367, 368, 368, 368, 369, 369, 369, 370, 370, 370, 371, 371, 371, 372, 372, 372, + 373, + 373, 373, 374, 374, 374, 375, 375, 375, 376, 376, 376, 377, 377, 377, 378, 378, 378, 379, 379, + 379, + 380, 380, 380, 381, 381, 381, 382, 382, 382, 383, 383, 383, 384, 384, 384, 385, 385, 385, 386, + 386, + 386, 387, 387, 387, 388, 388, 388, 389, 389, 389, 390, 390, 390, 391, 391, 391, 392, 392, 392, + 393, + 393, 393, 394, 394, 394, 395, 395, 395, 396, 396, 396, 397, 397, 397, 398, 398, 398, 399, 399, + 399, + 400, 400, 400, 401, 401, 401, 402, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, + 406, + 406, 407, 407, 407, 408, 408, 408, 409, 409, 409, 410, 410, 410, 411, 411, 411, 412, 412, 412, + 413, + 413, 413, 414, 414, 414, 415, 415, 415, 416, 416, 416, 417, 417, 417, 418, 418, 418, 419, 419, + 419, + 420, 420, 420, 421, 421, 421, 422, 422, 422, 423, 423, 423, 424, 424, 424, 425, 425, 425, 426, + 426, + 426, 427, 427, 427, 428, 428, 428, 429, 429, 429, 430, 430, 430, 431, 431, 431, 432, 432, 432, + 433, + 433, 433, 434, 434, 434, 435, 435, 435, 436, 436, 436, 437, 437, 437, 438, 438, 438, 439, 439, + 439, + 440, 440, 440, 441, 441, 441, 442, 442, 442, 443, 443, 443, 444, 444, 444, 445, 445, 445, 446, + 446, + 446, 447, 447, 447, 448, 448, 448, 449, 449, 449, 450, 450, 450, 451, 451, 452, 452, 453, 453, + 453, + 454, 454, 454, 455, 455, 456, 456, 456, 457, 457, 458, 458, 458, 459, 459, 459, 460, 460, 460, + 461, + 461, 461, 462, 462, 462, 463, 463, 463, 464, 464, 464, 465, 465, 465, 466, 466, 467, 467, 468, + 468, + 468, 469, 469, 469, 470, 470, 470, 471, 471, 471, 472, 472, 472, 473, 473, 474, 474, 474, 475, + 475, + 475, 476, 476, 477, 477, 477, 478, 478, 478, 479, 479, 479, 480, 480, 480, 481, 481, 481, 482, + 482, + 483, 483, 483, 484, 484, 485, 485, 485, 486, 486, 486, 487, 487, 487, 488, 488, 489, 489, 490, + 490, + 491, 491, 492, 492, 493, 493, 493, 494, 494, 494, 495, 495, 496, 496, 496, 497, 497, 497, 498, + 498, + 499, 499, 500, 500, 500, 501, 501, 501, 502, 502, 502, 503, 503, 503, 504, 504, 504, 505, 505, + 506 ] private def ClayworthSurface_edge_src_data_chunk3 : Array (Fin 4032) := #[ - 506, 507, 507, 508, 508, 508, 509, 509, 510, 510, 511, 511, 512, 512, 512, 513, 513, 513, 514, 514, - 514, 515, 515, 516, 516, 517, 517, 517, 518, 518, 518, 519, 519, 520, 520, 520, 521, 521, 522, 522, - 522, 523, 523, 523, 524, 524, 524, 525, 525, 525, 526, 526, 526, 527, 527, 527, 528, 528, 528, 529, - 529, 529, 530, 530, 531, 531, 532, 532, 532, 533, 533, 533, 534, 534, 534, 535, 535, 535, 536, 536, - 536, 537, 537, 538, 538, 538, 539, 539, 539, 540, 540, 541, 541, 541, 542, 542, 542, 543, 543, 543, - 544, 544, 544, 545, 545, 545, 546, 546, 547, 547, 547, 548, 548, 549, 549, 549, 550, 550, 550, 551, - 551, 551, 552, 552, 553, 553, 554, 554, 555, 555, 556, 556, 557, 557, 557, 558, 558, 558, 559, 559, - 560, 560, 560, 561, 561, 561, 562, 562, 563, 563, 564, 564, 564, 565, 565, 565, 566, 566, 566, 567, - 567, 567, 568, 568, 568, 569, 569, 570, 570, 571, 571, 572, 572, 572, 573, 573, 574, 574, 575, 575, - 576, 576, 576, 577, 577, 577, 578, 578, 578, 579, 579, 580, 580, 581, 581, 581, 582, 582, 582, 583, - 583, 584, 584, 584, 585, 585, 586, 586, 586, 587, 587, 587, 588, 588, 588, 589, 589, 589, 590, 590, - 590, 591, 591, 591, 592, 592, 592, 593, 593, 593, 594, 594, 595, 595, 596, 596, 596, 597, 597, 597, - 598, 598, 598, 599, 599, 599, 600, 600, 600, 601, 601, 602, 602, 602, 603, 603, 603, 604, 604, 605, - 605, 605, 606, 606, 606, 607, 607, 607, 608, 608, 608, 609, 609, 609, 610, 610, 611, 611, 611, 612, - 612, 613, 613, 613, 614, 614, 614, 615, 615, 615, 616, 616, 617, 617, 618, 618, 619, 619, 620, 620, - 621, 621, 621, 622, 622, 622, 623, 623, 624, 624, 624, 625, 625, 625, 626, 626, 627, 627, 628, 628, - 628, 629, 629, 629, 630, 630, 630, 631, 631, 631, 632, 632, 632, 633, 633, 634, 634, 635, 635, 636, - 636, 636, 637, 637, 638, 638, 639, 639, 640, 640, 640, 641, 641, 641, 642, 642, 642, 643, 643, 644, - 644, 645, 645, 645, 646, 646, 646, 647, 647, 648, 648, 648, 649, 649, 650, 650, 650, 651, 651, 651, - 652, 652, 652, 653, 653, 653, 654, 654, 654, 655, 655, 655, 656, 656, 656, 657, 657, 657, 658, 658, - 659, 659, 660, 660, 660, 661, 661, 661, 662, 662, 662, 663, 663, 663, 664, 664, 664, 665, 665, 666, - 666, 666, 667, 667, 667, 668, 668, 669, 669, 669, 670, 670, 670, 671, 671, 671, 672, 672, 672, 673, - 673, 673, 674, 674, 675, 675, 675, 676, 676, 677, 677, 677, 678, 678, 678, 679, 679, 679, 680, 680, - 681, 681, 682, 682, 683, 683, 684, 684, 685, 685, 685, 686, 686, 686, 687, 687, 688, 688, 688, 689, - 689, 689, 690, 690, 691, 691, 692, 692, 692, 693, 693, 693, 694, 694, 694, 695, 695, 695, 696, 696 + 506, 507, 507, 508, 508, 508, 509, 509, 510, 510, 511, 511, 512, 512, 512, 513, 513, 513, 514, + 514, + 514, 515, 515, 516, 516, 517, 517, 517, 518, 518, 518, 519, 519, 520, 520, 520, 521, 521, 522, + 522, + 522, 523, 523, 523, 524, 524, 524, 525, 525, 525, 526, 526, 526, 527, 527, 527, 528, 528, 528, + 529, + 529, 529, 530, 530, 531, 531, 532, 532, 532, 533, 533, 533, 534, 534, 534, 535, 535, 535, 536, + 536, + 536, 537, 537, 538, 538, 538, 539, 539, 539, 540, 540, 541, 541, 541, 542, 542, 542, 543, 543, + 543, + 544, 544, 544, 545, 545, 545, 546, 546, 547, 547, 547, 548, 548, 549, 549, 549, 550, 550, 550, + 551, + 551, 551, 552, 552, 553, 553, 554, 554, 555, 555, 556, 556, 557, 557, 557, 558, 558, 558, 559, + 559, + 560, 560, 560, 561, 561, 561, 562, 562, 563, 563, 564, 564, 564, 565, 565, 565, 566, 566, 566, + 567, + 567, 567, 568, 568, 568, 569, 569, 570, 570, 571, 571, 572, 572, 572, 573, 573, 574, 574, 575, + 575, + 576, 576, 576, 577, 577, 577, 578, 578, 578, 579, 579, 580, 580, 581, 581, 581, 582, 582, 582, + 583, + 583, 584, 584, 584, 585, 585, 586, 586, 586, 587, 587, 587, 588, 588, 588, 589, 589, 589, 590, + 590, + 590, 591, 591, 591, 592, 592, 592, 593, 593, 593, 594, 594, 595, 595, 596, 596, 596, 597, 597, + 597, + 598, 598, 598, 599, 599, 599, 600, 600, 600, 601, 601, 602, 602, 602, 603, 603, 603, 604, 604, + 605, + 605, 605, 606, 606, 606, 607, 607, 607, 608, 608, 608, 609, 609, 609, 610, 610, 611, 611, 611, + 612, + 612, 613, 613, 613, 614, 614, 614, 615, 615, 615, 616, 616, 617, 617, 618, 618, 619, 619, 620, + 620, + 621, 621, 621, 622, 622, 622, 623, 623, 624, 624, 624, 625, 625, 625, 626, 626, 627, 627, 628, + 628, + 628, 629, 629, 629, 630, 630, 630, 631, 631, 631, 632, 632, 632, 633, 633, 634, 634, 635, 635, + 636, + 636, 636, 637, 637, 638, 638, 639, 639, 640, 640, 640, 641, 641, 641, 642, 642, 642, 643, 643, + 644, + 644, 645, 645, 645, 646, 646, 646, 647, 647, 648, 648, 648, 649, 649, 650, 650, 650, 651, 651, + 651, + 652, 652, 652, 653, 653, 653, 654, 654, 654, 655, 655, 655, 656, 656, 656, 657, 657, 657, 658, + 658, + 659, 659, 660, 660, 660, 661, 661, 661, 662, 662, 662, 663, 663, 663, 664, 664, 664, 665, 665, + 666, + 666, 666, 667, 667, 667, 668, 668, 669, 669, 669, 670, 670, 670, 671, 671, 671, 672, 672, 672, + 673, + 673, 673, 674, 674, 675, 675, 675, 676, 676, 677, 677, 677, 678, 678, 678, 679, 679, 679, 680, + 680, + 681, 681, 682, 682, 683, 683, 684, 684, 685, 685, 685, 686, 686, 686, 687, 687, 688, 688, 688, + 689, + 689, 689, 690, 690, 691, 691, 692, 692, 692, 693, 693, 693, 694, 694, 694, 695, 695, 695, 696, + 696 ] private def ClayworthSurface_edge_src_data_chunk4 : Array (Fin 4032) := #[ - 696, 697, 697, 698, 698, 699, 699, 700, 700, 700, 701, 701, 702, 702, 703, 703, 704, 704, 704, 705, - 705, 705, 706, 706, 706, 707, 707, 708, 708, 709, 709, 709, 710, 710, 710, 711, 711, 712, 712, 712, - 713, 713, 714, 714, 714, 715, 715, 715, 716, 716, 716, 717, 717, 717, 718, 718, 718, 719, 719, 719, - 720, 720, 720, 721, 721, 721, 722, 722, 723, 723, 724, 724, 724, 725, 725, 725, 726, 726, 726, 727, - 727, 727, 728, 728, 729, 729, 730, 730, 731, 731, 732, 732, 733, 733, 734, 734, 734, 735, 735, 735, - 736, 736, 736, 737, 737, 737, 738, 738, 739, 739, 739, 740, 740, 741, 741, 742, 742, 742, 743, 743, - 743, 744, 744, 745, 745, 746, 747, 748, 748, 749, 749, 749, 750, 750, 751, 751, 752, 752, 753, 753, - 754, 755, 755, 756, 756, 756, 757, 757, 757, 758, 758, 758, 759, 759, 759, 760, 760, 760, 761, 761, - 762, 762, 763, 763, 764, 764, 764, 765, 765, 766, 766, 767, 768, 768, 768, 769, 769, 769, 770, 770, - 770, 771, 771, 772, 772, 773, 773, 773, 774, 774, 774, 775, 775, 776, 776, 776, 777, 777, 778, 778, - 778, 779, 779, 779, 780, 780, 780, 781, 781, 781, 782, 782, 782, 783, 783, 783, 784, 784, 784, 785, - 785, 785, 786, 786, 787, 787, 788, 788, 788, 789, 789, 789, 790, 790, 790, 791, 791, 791, 792, 792, - 793, 793, 794, 794, 795, 795, 796, 796, 797, 797, 798, 798, 798, 799, 799, 799, 800, 800, 800, 801, - 801, 801, 802, 802, 803, 803, 803, 804, 804, 805, 805, 806, 806, 806, 807, 807, 807, 808, 808, 809, - 809, 810, 811, 812, 812, 813, 813, 813, 814, 814, 815, 815, 816, 816, 817, 817, 818, 819, 819, 820, - 820, 820, 821, 821, 821, 822, 822, 822, 823, 823, 823, 824, 824, 824, 825, 825, 826, 826, 827, 827, - 828, 828, 828, 829, 829, 830, 830, 831, 832, 832, 833, 833, 834, 834, 835, 835, 836, 836, 837, 837, - 837, 838, 838, 839, 839, 840, 840, 840, 841, 841, 842, 842, 842, 843, 843, 843, 844, 844, 844, 845, - 845, 845, 846, 846, 846, 847, 847, 847, 848, 848, 848, 849, 849, 849, 850, 850, 851, 851, 852, 852, - 852, 853, 853, 853, 854, 854, 855, 855, 856, 856, 856, 857, 857, 858, 858, 858, 859, 859, 859, 860, - 860, 861, 861, 861, 862, 862, 862, 863, 863, 863, 864, 864, 865, 865, 866, 866, 867, 867, 867, 868, - 868, 869, 869, 869, 870, 870, 870, 871, 871, 872, 872, 873, 873, 874, 874, 875, 875, 876, 876, 877, - 877, 878, 878, 878, 879, 879, 880, 880, 880, 881, 881, 881, 882, 882, 883, 883, 884, 884, 885, 885, - 885, 886, 886, 886, 887, 887, 887, 888, 888, 888, 889, 889, 890, 890, 891, 891, 892, 892, 893, 893, - 894, 894, 895, 895, 896, 896, 897, 897, 898, 898, 899, 899, 900, 900, 901, 901, 901, 902, 902, 903 + 696, 697, 697, 698, 698, 699, 699, 700, 700, 700, 701, 701, 702, 702, 703, 703, 704, 704, 704, + 705, + 705, 705, 706, 706, 706, 707, 707, 708, 708, 709, 709, 709, 710, 710, 710, 711, 711, 712, 712, + 712, + 713, 713, 714, 714, 714, 715, 715, 715, 716, 716, 716, 717, 717, 717, 718, 718, 718, 719, 719, + 719, + 720, 720, 720, 721, 721, 721, 722, 722, 723, 723, 724, 724, 724, 725, 725, 725, 726, 726, 726, + 727, + 727, 727, 728, 728, 729, 729, 730, 730, 731, 731, 732, 732, 733, 733, 734, 734, 734, 735, 735, + 735, + 736, 736, 736, 737, 737, 737, 738, 738, 739, 739, 739, 740, 740, 741, 741, 742, 742, 742, 743, + 743, + 743, 744, 744, 745, 745, 746, 747, 748, 748, 749, 749, 749, 750, 750, 751, 751, 752, 752, 753, + 753, + 754, 755, 755, 756, 756, 756, 757, 757, 757, 758, 758, 758, 759, 759, 759, 760, 760, 760, 761, + 761, + 762, 762, 763, 763, 764, 764, 764, 765, 765, 766, 766, 767, 768, 768, 768, 769, 769, 769, 770, + 770, + 770, 771, 771, 772, 772, 773, 773, 773, 774, 774, 774, 775, 775, 776, 776, 776, 777, 777, 778, + 778, + 778, 779, 779, 779, 780, 780, 780, 781, 781, 781, 782, 782, 782, 783, 783, 783, 784, 784, 784, + 785, + 785, 785, 786, 786, 787, 787, 788, 788, 788, 789, 789, 789, 790, 790, 790, 791, 791, 791, 792, + 792, + 793, 793, 794, 794, 795, 795, 796, 796, 797, 797, 798, 798, 798, 799, 799, 799, 800, 800, 800, + 801, + 801, 801, 802, 802, 803, 803, 803, 804, 804, 805, 805, 806, 806, 806, 807, 807, 807, 808, 808, + 809, + 809, 810, 811, 812, 812, 813, 813, 813, 814, 814, 815, 815, 816, 816, 817, 817, 818, 819, 819, + 820, + 820, 820, 821, 821, 821, 822, 822, 822, 823, 823, 823, 824, 824, 824, 825, 825, 826, 826, 827, + 827, + 828, 828, 828, 829, 829, 830, 830, 831, 832, 832, 833, 833, 834, 834, 835, 835, 836, 836, 837, + 837, + 837, 838, 838, 839, 839, 840, 840, 840, 841, 841, 842, 842, 842, 843, 843, 843, 844, 844, 844, + 845, + 845, 845, 846, 846, 846, 847, 847, 847, 848, 848, 848, 849, 849, 849, 850, 850, 851, 851, 852, + 852, + 852, 853, 853, 853, 854, 854, 855, 855, 856, 856, 856, 857, 857, 858, 858, 858, 859, 859, 859, + 860, + 860, 861, 861, 861, 862, 862, 862, 863, 863, 863, 864, 864, 865, 865, 866, 866, 867, 867, 867, + 868, + 868, 869, 869, 869, 870, 870, 870, 871, 871, 872, 872, 873, 873, 874, 874, 875, 875, 876, 876, + 877, + 877, 878, 878, 878, 879, 879, 880, 880, 880, 881, 881, 881, 882, 882, 883, 883, 884, 884, 885, + 885, + 885, 886, 886, 886, 887, 887, 887, 888, 888, 888, 889, 889, 890, 890, 891, 891, 892, 892, 893, + 893, + 894, 894, 895, 895, 896, 896, 897, 897, 898, 898, 899, 899, 900, 900, 901, 901, 901, 902, 902, + 903 ] private def ClayworthSurface_edge_src_data_chunk5 : Array (Fin 4032) := #[ - 903, 904, 904, 904, 905, 905, 906, 906, 906, 907, 907, 907, 908, 908, 908, 909, 909, 909, 910, 910, - 910, 911, 911, 911, 912, 912, 912, 913, 913, 913, 914, 914, 915, 915, 916, 916, 916, 917, 917, 917, - 918, 918, 919, 919, 920, 920, 920, 921, 921, 922, 922, 922, 923, 923, 923, 924, 924, 925, 925, 925, - 926, 926, 926, 927, 927, 927, 928, 928, 929, 929, 930, 930, 931, 931, 931, 932, 932, 933, 933, 933, - 934, 934, 934, 935, 935, 936, 936, 937, 937, 938, 938, 939, 939, 940, 940, 941, 941, 942, 942, 942, - 943, 943, 944, 944, 944, 945, 945, 945, 946, 946, 947, 947, 948, 948, 949, 949, 949, 950, 950, 950, - 951, 951, 951, 952, 952, 952, 953, 953, 954, 954, 955, 955, 956, 956, 957, 957, 958, 958, 959, 959, - 960, 960, 961, 961, 962, 962, 963, 963, 964, 964, 965, 965, 965, 966, 966, 967, 967, 968, 968, 968, - 969, 969, 970, 970, 970, 971, 971, 971, 972, 972, 972, 973, 973, 973, 974, 974, 974, 975, 975, 975, - 976, 976, 976, 977, 977, 977, 978, 978, 979, 979, 980, 980, 980, 981, 981, 981, 982, 982, 983, 983, - 984, 984, 985, 985, 986, 986, 987, 987, 988, 988, 989, 989, 990, 990, 990, 991, 991, 991, 992, 992, - 993, 993, 994, 994, 995, 995, 995, 996, 996, 997, 997, 998, 998, 998, 999, 999, 1000, 1000, 1001, 1001, - 1002, 1003, 1004, 1004, 1005, 1005, 1006, 1006, 1007, 1007, 1008, 1008, 1009, 1009, 1010, 1011, 1011, 1012, 1012, 1013, - 1013, 1013, 1014, 1014, 1014, 1015, 1015, 1015, 1016, 1016, 1016, 1017, 1017, 1018, 1018, 1019, 1019, 1020, 1020, 1021, - 1021, 1022, 1022, 1023, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1028, 1029, 1029, 1029, 1030, 1030, 1031, - 1031, 1032, 1032, 1032, 1033, 1033, 1034, 1034, 1034, 1035, 1035, 1035, 1036, 1036, 1036, 1037, 1037, 1037, 1038, 1038, - 1038, 1039, 1039, 1039, 1040, 1040, 1040, 1041, 1041, 1041, 1042, 1042, 1043, 1043, 1044, 1044, 1044, 1045, 1045, 1045, - 1046, 1046, 1047, 1047, 1048, 1048, 1049, 1049, 1050, 1050, 1051, 1051, 1052, 1052, 1053, 1053, 1054, 1054, 1054, 1055, - 1055, 1055, 1056, 1056, 1057, 1057, 1058, 1058, 1059, 1059, 1059, 1060, 1060, 1061, 1061, 1062, 1062, 1062, 1063, 1063, - 1064, 1064, 1065, 1065, 1066, 1067, 1068, 1068, 1069, 1069, 1070, 1070, 1071, 1071, 1072, 1072, 1073, 1073, 1074, 1075, - 1075, 1076, 1076, 1077, 1077, 1077, 1078, 1078, 1078, 1079, 1079, 1079, 1080, 1080, 1080, 1081, 1081, 1082, 1082, 1083, - 1083, 1084, 1084, 1085, 1085, 1086, 1086, 1087, 1088, 1089, 1089, 1090, 1090, 1091, 1091, 1092, 1093, 1093, 1093, 1094, - 1095, 1096, 1096, 1096, 1097, 1097, 1098, 1098, 1099, 1099, 1099, 1100, 1100, 1101, 1101, 1102, 1102, 1102, 1103, 1103, - 1104, 1104, 1104, 1105, 1105, 1106, 1106, 1107, 1107, 1108, 1108, 1109, 1109, 1109, 1110, 1110, 1111, 1111, 1112, 1112, - 1113, 1114, 1114, 1115, 1115, 1116, 1117, 1117, 1118, 1118, 1119, 1119, 1120, 1121, 1122, 1122, 1123, 1123, 1123, 1124 + 903, 904, 904, 904, 905, 905, 906, 906, 906, 907, 907, 907, 908, 908, 908, 909, 909, 909, 910, + 910, + 910, 911, 911, 911, 912, 912, 912, 913, 913, 913, 914, 914, 915, 915, 916, 916, 916, 917, 917, + 917, + 918, 918, 919, 919, 920, 920, 920, 921, 921, 922, 922, 922, 923, 923, 923, 924, 924, 925, 925, + 925, + 926, 926, 926, 927, 927, 927, 928, 928, 929, 929, 930, 930, 931, 931, 931, 932, 932, 933, 933, + 933, + 934, 934, 934, 935, 935, 936, 936, 937, 937, 938, 938, 939, 939, 940, 940, 941, 941, 942, 942, + 942, + 943, 943, 944, 944, 944, 945, 945, 945, 946, 946, 947, 947, 948, 948, 949, 949, 949, 950, 950, + 950, + 951, 951, 951, 952, 952, 952, 953, 953, 954, 954, 955, 955, 956, 956, 957, 957, 958, 958, 959, + 959, + 960, 960, 961, 961, 962, 962, 963, 963, 964, 964, 965, 965, 965, 966, 966, 967, 967, 968, 968, + 968, + 969, 969, 970, 970, 970, 971, 971, 971, 972, 972, 972, 973, 973, 973, 974, 974, 974, 975, 975, + 975, + 976, 976, 976, 977, 977, 977, 978, 978, 979, 979, 980, 980, 980, 981, 981, 981, 982, 982, 983, + 983, + 984, 984, 985, 985, 986, 986, 987, 987, 988, 988, 989, 989, 990, 990, 990, 991, 991, 991, 992, + 992, + 993, 993, 994, 994, 995, 995, 995, 996, 996, 997, 997, 998, 998, 998, 999, 999, 1000, 1000, + 1001, 1001, + 1002, 1003, 1004, 1004, 1005, 1005, 1006, 1006, 1007, 1007, 1008, 1008, 1009, 1009, 1010, 1011, + 1011, 1012, 1012, 1013, + 1013, 1013, 1014, 1014, 1014, 1015, 1015, 1015, 1016, 1016, 1016, 1017, 1017, 1018, 1018, 1019, + 1019, 1020, 1020, 1021, + 1021, 1022, 1022, 1023, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1028, 1029, 1029, + 1029, 1030, 1030, 1031, + 1031, 1032, 1032, 1032, 1033, 1033, 1034, 1034, 1034, 1035, 1035, 1035, 1036, 1036, 1036, 1037, + 1037, 1037, 1038, 1038, + 1038, 1039, 1039, 1039, 1040, 1040, 1040, 1041, 1041, 1041, 1042, 1042, 1043, 1043, 1044, 1044, + 1044, 1045, 1045, 1045, + 1046, 1046, 1047, 1047, 1048, 1048, 1049, 1049, 1050, 1050, 1051, 1051, 1052, 1052, 1053, 1053, + 1054, 1054, 1054, 1055, + 1055, 1055, 1056, 1056, 1057, 1057, 1058, 1058, 1059, 1059, 1059, 1060, 1060, 1061, 1061, 1062, + 1062, 1062, 1063, 1063, + 1064, 1064, 1065, 1065, 1066, 1067, 1068, 1068, 1069, 1069, 1070, 1070, 1071, 1071, 1072, 1072, + 1073, 1073, 1074, 1075, + 1075, 1076, 1076, 1077, 1077, 1077, 1078, 1078, 1078, 1079, 1079, 1079, 1080, 1080, 1080, 1081, + 1081, 1082, 1082, 1083, + 1083, 1084, 1084, 1085, 1085, 1086, 1086, 1087, 1088, 1089, 1089, 1090, 1090, 1091, 1091, 1092, + 1093, 1093, 1093, 1094, + 1095, 1096, 1096, 1096, 1097, 1097, 1098, 1098, 1099, 1099, 1099, 1100, 1100, 1101, 1101, 1102, + 1102, 1102, 1103, 1103, + 1104, 1104, 1104, 1105, 1105, 1106, 1106, 1107, 1107, 1108, 1108, 1109, 1109, 1109, 1110, 1110, + 1111, 1111, 1112, 1112, + 1113, 1114, 1114, 1115, 1115, 1116, 1117, 1117, 1118, 1118, 1119, 1119, 1120, 1121, 1122, 1122, + 1123, 1123, 1123, 1124 ] private def ClayworthSurface_edge_src_data_chunk6 : Array (Fin 4032) := #[ - 1124, 1125, 1125, 1126, 1126, 1127, 1127, 1128, 1129, 1129, 1130, 1131, 1132, 1133, 1133, 1134, 1134, 1135, 1135, 1136, - 1136, 1137, 1137, 1138, 1139, 1139, 1140, 1140, 1141, 1141, 1142, 1142, 1143, 1143, 1144, 1144, 1144, 1145, 1145, 1146, - 1146, 1147, 1147, 1148, 1148, 1149, 1150, 1151, 1152, 1152, 1152, 1153, 1153, 1154, 1154, 1155, 1155, 1156, 1156, 1157, - 1157, 1158, 1158, 1159, 1159, 1160, 1160, 1161, 1161, 1162, 1162, 1163, 1163, 1163, 1164, 1164, 1164, 1165, 1165, 1165, - 1166, 1166, 1167, 1167, 1168, 1168, 1168, 1169, 1169, 1169, 1171, 1171, 1172, 1172, 1172, 1173, 1174, 1174, 1174, 1175, - 1175, 1175, 1176, 1177, 1177, 1178, 1179, 1179, 1180, 1180, 1181, 1181, 1182, 1182, 1182, 1183, 1183, 1184, 1184, 1184, - 1185, 1185, 1185, 1186, 1186, 1187, 1187, 1188, 1188, 1189, 1189, 1190, 1190, 1190, 1191, 1191, 1191, 1192, 1192, 1193, - 1193, 1194, 1195, 1196, 1196, 1197, 1197, 1197, 1198, 1198, 1199, 1200, 1200, 1201, 1202, 1203, 1204, 1204, 1204, 1205, - 1205, 1206, 1206, 1207, 1207, 1207, 1208, 1208, 1208, 1209, 1210, 1210, 1211, 1211, 1212, 1212, 1213, 1213, 1214, 1214, - 1216, 1217, 1217, 1218, 1218, 1219, 1219, 1220, 1221, 1221, 1221, 1222, 1223, 1224, 1224, 1224, 1225, 1225, 1226, 1226, - 1227, 1227, 1227, 1228, 1228, 1229, 1229, 1230, 1230, 1230, 1231, 1231, 1232, 1232, 1232, 1233, 1233, 1234, 1234, 1235, - 1235, 1236, 1236, 1237, 1237, 1237, 1238, 1238, 1239, 1239, 1240, 1240, 1241, 1242, 1242, 1243, 1243, 1244, 1245, 1245, - 1246, 1246, 1247, 1247, 1248, 1249, 1250, 1250, 1251, 1251, 1251, 1252, 1252, 1253, 1253, 1254, 1254, 1255, 1255, 1256, - 1257, 1257, 1258, 1259, 1260, 1261, 1261, 1262, 1262, 1263, 1263, 1264, 1264, 1265, 1265, 1266, 1267, 1267, 1268, 1268, - 1269, 1269, 1270, 1270, 1271, 1271, 1272, 1272, 1272, 1273, 1273, 1274, 1274, 1275, 1275, 1276, 1276, 1277, 1278, 1279, - 1280, 1280, 1281, 1281, 1282, 1282, 1282, 1283, 1283, 1284, 1284, 1285, 1285, 1285, 1286, 1286, 1286, 1287, 1287, 1288, - 1288, 1289, 1289, 1290, 1290, 1290, 1291, 1291, 1291, 1292, 1292, 1292, 1293, 1293, 1294, 1294, 1294, 1295, 1295, 1295, - 1296, 1296, 1297, 1297, 1298, 1298, 1299, 1300, 1300, 1300, 1301, 1301, 1302, 1302, 1302, 1303, 1303, 1303, 1304, 1305, - 1305, 1306, 1306, 1308, 1308, 1309, 1309, 1310, 1310, 1310, 1311, 1311, 1311, 1312, 1312, 1312, 1313, 1313, 1313, 1314, - 1314, 1315, 1316, 1316, 1317, 1317, 1318, 1318, 1319, 1319, 1319, 1320, 1320, 1322, 1323, 1324, 1324, 1325, 1325, 1325, - 1326, 1327, 1327, 1328, 1329, 1330, 1331, 1331, 1332, 1332, 1332, 1333, 1333, 1333, 1334, 1334, 1334, 1335, 1335, 1336, - 1336, 1337, 1337, 1339, 1339, 1340, 1340, 1340, 1341, 1341, 1342, 1343, 1344, 1344, 1345, 1346, 1346, 1347, 1347, 1348, - 1348, 1349, 1349, 1349, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1353, 1354, 1354, 1355, 1355, 1355, 1356, 1356, 1356, - 1357, 1357, 1357, 1358, 1358, 1359, 1359, 1359, 1360, 1360, 1360, 1361, 1361, 1361, 1362, 1362, 1363, 1363, 1364, 1364, - 1364, 1365, 1365, 1365, 1366, 1366, 1367, 1367, 1368, 1368, 1369, 1369, 1370, 1370, 1371, 1371, 1372, 1372, 1373, 1373 + 1124, 1125, 1125, 1126, 1126, 1127, 1127, 1128, 1129, 1129, 1130, 1131, 1132, 1133, 1133, 1134, + 1134, 1135, 1135, 1136, + 1136, 1137, 1137, 1138, 1139, 1139, 1140, 1140, 1141, 1141, 1142, 1142, 1143, 1143, 1144, 1144, + 1144, 1145, 1145, 1146, + 1146, 1147, 1147, 1148, 1148, 1149, 1150, 1151, 1152, 1152, 1152, 1153, 1153, 1154, 1154, 1155, + 1155, 1156, 1156, 1157, + 1157, 1158, 1158, 1159, 1159, 1160, 1160, 1161, 1161, 1162, 1162, 1163, 1163, 1163, 1164, 1164, + 1164, 1165, 1165, 1165, + 1166, 1166, 1167, 1167, 1168, 1168, 1168, 1169, 1169, 1169, 1171, 1171, 1172, 1172, 1172, 1173, + 1174, 1174, 1174, 1175, + 1175, 1175, 1176, 1177, 1177, 1178, 1179, 1179, 1180, 1180, 1181, 1181, 1182, 1182, 1182, 1183, + 1183, 1184, 1184, 1184, + 1185, 1185, 1185, 1186, 1186, 1187, 1187, 1188, 1188, 1189, 1189, 1190, 1190, 1190, 1191, 1191, + 1191, 1192, 1192, 1193, + 1193, 1194, 1195, 1196, 1196, 1197, 1197, 1197, 1198, 1198, 1199, 1200, 1200, 1201, 1202, 1203, + 1204, 1204, 1204, 1205, + 1205, 1206, 1206, 1207, 1207, 1207, 1208, 1208, 1208, 1209, 1210, 1210, 1211, 1211, 1212, 1212, + 1213, 1213, 1214, 1214, + 1216, 1217, 1217, 1218, 1218, 1219, 1219, 1220, 1221, 1221, 1221, 1222, 1223, 1224, 1224, 1224, + 1225, 1225, 1226, 1226, + 1227, 1227, 1227, 1228, 1228, 1229, 1229, 1230, 1230, 1230, 1231, 1231, 1232, 1232, 1232, 1233, + 1233, 1234, 1234, 1235, + 1235, 1236, 1236, 1237, 1237, 1237, 1238, 1238, 1239, 1239, 1240, 1240, 1241, 1242, 1242, 1243, + 1243, 1244, 1245, 1245, + 1246, 1246, 1247, 1247, 1248, 1249, 1250, 1250, 1251, 1251, 1251, 1252, 1252, 1253, 1253, 1254, + 1254, 1255, 1255, 1256, + 1257, 1257, 1258, 1259, 1260, 1261, 1261, 1262, 1262, 1263, 1263, 1264, 1264, 1265, 1265, 1266, + 1267, 1267, 1268, 1268, + 1269, 1269, 1270, 1270, 1271, 1271, 1272, 1272, 1272, 1273, 1273, 1274, 1274, 1275, 1275, 1276, + 1276, 1277, 1278, 1279, + 1280, 1280, 1281, 1281, 1282, 1282, 1282, 1283, 1283, 1284, 1284, 1285, 1285, 1285, 1286, 1286, + 1286, 1287, 1287, 1288, + 1288, 1289, 1289, 1290, 1290, 1290, 1291, 1291, 1291, 1292, 1292, 1292, 1293, 1293, 1294, 1294, + 1294, 1295, 1295, 1295, + 1296, 1296, 1297, 1297, 1298, 1298, 1299, 1300, 1300, 1300, 1301, 1301, 1302, 1302, 1302, 1303, + 1303, 1303, 1304, 1305, + 1305, 1306, 1306, 1308, 1308, 1309, 1309, 1310, 1310, 1310, 1311, 1311, 1311, 1312, 1312, 1312, + 1313, 1313, 1313, 1314, + 1314, 1315, 1316, 1316, 1317, 1317, 1318, 1318, 1319, 1319, 1319, 1320, 1320, 1322, 1323, 1324, + 1324, 1325, 1325, 1325, + 1326, 1327, 1327, 1328, 1329, 1330, 1331, 1331, 1332, 1332, 1332, 1333, 1333, 1333, 1334, 1334, + 1334, 1335, 1335, 1336, + 1336, 1337, 1337, 1339, 1339, 1340, 1340, 1340, 1341, 1341, 1342, 1343, 1344, 1344, 1345, 1346, + 1346, 1347, 1347, 1348, + 1348, 1349, 1349, 1349, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1353, 1354, 1354, 1355, 1355, + 1355, 1356, 1356, 1356, + 1357, 1357, 1357, 1358, 1358, 1359, 1359, 1359, 1360, 1360, 1360, 1361, 1361, 1361, 1362, 1362, + 1363, 1363, 1364, 1364, + 1364, 1365, 1365, 1365, 1366, 1366, 1367, 1367, 1368, 1368, 1369, 1369, 1370, 1370, 1371, 1371, + 1372, 1372, 1373, 1373 ] private def ClayworthSurface_edge_src_data_chunk7 : Array (Fin 4032) := #[ - 1374, 1374, 1374, 1375, 1375, 1376, 1376, 1377, 1377, 1378, 1378, 1379, 1379, 1379, 1380, 1380, 1381, 1381, 1382, 1382, - 1382, 1383, 1383, 1384, 1384, 1385, 1385, 1386, 1387, 1388, 1388, 1389, 1389, 1390, 1390, 1391, 1391, 1392, 1392, 1393, - 1393, 1394, 1395, 1395, 1396, 1396, 1397, 1397, 1397, 1398, 1398, 1398, 1399, 1399, 1399, 1400, 1400, 1400, 1401, 1401, - 1402, 1402, 1403, 1403, 1404, 1405, 1405, 1406, 1406, 1407, 1408, 1408, 1409, 1409, 1410, 1410, 1411, 1411, 1412, 1413, - 1413, 1413, 1414, 1414, 1415, 1416, 1416, 1417, 1417, 1418, 1418, 1419, 1419, 1419, 1420, 1420, 1421, 1421, 1421, 1422, - 1422, 1423, 1423, 1423, 1424, 1424, 1424, 1425, 1425, 1425, 1426, 1426, 1427, 1427, 1428, 1428, 1428, 1429, 1429, 1429, - 1430, 1431, 1431, 1432, 1432, 1432, 1433, 1433, 1434, 1434, 1434, 1435, 1435, 1435, 1436, 1436, 1437, 1437, 1437, 1438, - 1439, 1439, 1440, 1440, 1441, 1441, 1442, 1442, 1443, 1443, 1443, 1444, 1444, 1445, 1445, 1445, 1446, 1446, 1447, 1447, - 1448, 1448, 1449, 1449, 1450, 1450, 1451, 1451, 1452, 1453, 1454, 1454, 1454, 1455, 1455, 1456, 1456, 1456, 1457, 1457, - 1457, 1458, 1458, 1459, 1459, 1460, 1460, 1461, 1461, 1462, 1462, 1463, 1464, 1464, 1464, 1465, 1465, 1466, 1466, 1467, - 1467, 1468, 1468, 1469, 1470, 1470, 1471, 1471, 1472, 1475, 1475, 1476, 1476, 1478, 1479, 1479, 1480, 1481, 1481, 1482, - 1482, 1483, 1484, 1484, 1485, 1485, 1486, 1486, 1487, 1487, 1488, 1488, 1488, 1489, 1489, 1489, 1490, 1490, 1491, 1491, - 1492, 1492, 1492, 1493, 1493, 1493, 1494, 1494, 1495, 1496, 1496, 1496, 1497, 1497, 1498, 1498, 1498, 1499, 1499, 1499, - 1500, 1500, 1501, 1501, 1501, 1502, 1502, 1503, 1504, 1504, 1505, 1505, 1506, 1506, 1507, 1507, 1507, 1508, 1508, 1509, - 1509, 1509, 1510, 1510, 1511, 1511, 1512, 1512, 1513, 1513, 1514, 1514, 1515, 1515, 1516, 1516, 1517, 1518, 1518, 1518, - 1519, 1519, 1520, 1520, 1520, 1521, 1521, 1521, 1522, 1522, 1523, 1523, 1524, 1524, 1525, 1525, 1526, 1527, 1527, 1528, - 1528, 1528, 1529, 1529, 1530, 1530, 1531, 1531, 1533, 1533, 1534, 1534, 1535, 1535, 1536, 1536, 1537, 1537, 1538, 1538, - 1539, 1539, 1540, 1540, 1541, 1541, 1541, 1542, 1542, 1543, 1543, 1544, 1544, 1544, 1545, 1545, 1546, 1546, 1546, 1547, - 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1621, 1622, 1622, 1623, 1623, 1624, 1624, 1625, 1626, 1627, 1627, 1628, 1629, 1630, 1630, 1631, 1632, 1633, 1634, 1634, - 1635, 1635, 1635, 1636, 1636, 1637, 1637, 1638, 1638, 1639, 1639, 1640, 1641, 1641, 1642, 1643, 1644, 1645, 1645, 1646, - 1646, 1647, 1647, 1648, 1648, 1649, 1649, 1650, 1651, 1652, 1652, 1653, 1653, 1654, 1654, 1655, 1655, 1656, 1656, 1657, - 1657, 1658, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1664, 1665, 1666, 1667, 1667, 1668, 1668, 1669, 1669, 1670, 1671, - 1671, 1672, 1672, 1673, 1673, 1674, 1674, 1675, 1675, 1675, 1676, 1676, 1676, 1677, 1677, 1677, 1678, 1678, 1679, 1679, - 1680, 1680, 1681, 1681, 1681, 1683, 1683, 1684, 1684, 1685, 1686, 1686, 1687, 1687, 1688, 1689, 1689, 1691, 1691, 1692, - 1692, 1693, 1694, 1694, 1694, 1695, 1695, 1696, 1696, 1697, 1697, 1698, 1698, 1699, 1699, 1700, 1700, 1701, 1702, 1702, - 1702, 1703, 1703, 1704, 1705, 1705, 1706, 1707, 1708, 1708, 1709, 1709, 1710, 1711, 1712, 1712, 1713, 1714, 1716, 1716, - 1717, 1717, 1718, 1718, 1719, 1719, 1719, 1720, 1721, 1722, 1722, 1724, 1725, 1725, 1726, 1726, 1728, 1729, 1729, 1730, - 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1920, 1921, 1922, 1923, 1923, 1924, 1925, 1925, 1927, 1928, 1928, 1929, 1929, 1930, 1931, 1931, 1931, 1932, 1932, 1933, - 1933, 1934, 1934, 1935, 1936, 1936, 1937, 1937, 1939, 1939, 1940, 1941, 1942, 1942, 1943, 1943, 1944, 1945, 1947, 1947, - 1948, 1949, 1950, 1950, 1951, 1952, 1953, 1954, 1954, 1955, 1955, 1956, 1956, 1957, 1958, 1958, 1959, 1959, 1961, 1961, - 1962, 1963, 1964, 1965, 1965, 1966, 1967, 1968, 1968, 1969, 1970, 1972, 1972, 1973, 1974, 1975, 1975, 1976, 1977, 1978, - 1978, 1980, 1981, 1982, 1984, 1984, 1985, 1985, 1986, 1986, 1987, 1987, 1988, 1989, 1989, 1990, 1991, 1992, 1992, 1993, - 1993, 1994, 1995, 1995, 1995, 1996, 1996, 1997, 1997, 1998, 1998, 1999, 2000, 2000, 2001, 2001, 2003, 2003, 2004, 2005, - 2006, 2006, 2006, 2007, 2007, 2007, 2008, 2009, 2011, 2011, 2012, 2013, 2014, 2014, 2015, 2016, 2016, 2017, 2017, 2018, - 2018, 2019, 2019, 2020, 2020, 2021, 2022, 2022, 2023, 2023, 2023, 2025, 2025, 2026, 2027, 2028, 2029, 2029, 2029, 2030, - 2031, 2032, 2032, 2033, 2034, 2036, 2036, 2036, 2037, 2038, 2039, 2039, 2040, 2041, 2042, 2042, 2044, 2044, 2045, 2046, - 2048, 2048, 2049, 2050, 2050, 2051, 2051, 2052, 2052, 2053, 2053, 2054, 2054, 2055, 2055, 2056, 2057, 2057, 2058, 2058, - 2059, 2059, 2059, 2060, 2060, 2060, 2061, 2061, 2062, 2062, 2063, 2063, 2065, 2068, 2069, 2070, 2070, 2070, 2071, 2071, - 2071, 2072, 2073, 2073, 2075, 2076, 2076, 2078, 2078, 2078, 2079, 2079, 2080, 2080, 2080, 2081, 2081, 2081, 2082, 2083, - 2084, 2086, 2086, 2087, 2087, 2087, 2088, 2089, 2092, 2092, 2093, 2093, 2093, 2095, 2100, 2100, 2100, 2101, 2101, 2102, - 2102, 2103, 2103, 2105, 2106, 2108, 2108, 2109, 2109, 2110, 2113, 2114, 2114, 2115, 2117, 2117, 2117, 2118, 2119, 2120, - 2120, 2121, 2121, 2122, 2123, 2123, 2123, 2124, 2124, 2125, 2126, 2126, 2127, 2127, 2128, 2128, 2129, 2130, 2131, 2132, - 2133, 2133, 2134, 2135, 2135, 2136, 2137, 2138, 2138, 2139, 2139, 2140, 2141, 2142, 2142, 2143, 2143, 2144, 2145, 2146, - 2147, 2147, 2148, 2149, 2150, 2151, 2153, 2153, 2155, 2156, 2157, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2163, 2164, - 2164, 2165, 2165, 2166, 2166, 2167, 2168, 2168, 2169, 2170, 2171, 2172, 2172, 2173, 2177, 2178, 2179, 2179, 2180, 2181, - 2181, 2182, 2183, 2184, 2184, 2185, 2185, 2186, 2186, 2187, 2187, 2188, 2189, 2190, 2190, 2190, 2191, 2191, 2192, 2194, - 2196, 2197, 2198, 2198, 2199, 2199, 2201, 2202, 2202, 2204, 2205, 2206, 2207, 2207, 2208, 2209, 2210, 2211, 2212, 2213, - 2214, 2215, 2215, 2216, 2220, 2221, 2222, 2223, 2225, 2227, 2227, 2228, 2228, 2229, 2229, 2230, 2230, 2231, 2232, 2232, - 2233, 2235, 2235, 2236, 2236, 2237, 2240, 2241, 2241, 2242, 2242, 2243, 2243, 2244, 2245, 2245, 2246, 2246, 2247, 2248, - 2248, 2249, 2249, 2250, 2250, 2251, 2251, 2252, 2253, 2254, 2254, 2254, 2255, 2255, 2256, 2258, 2258, 2260, 2261, 2261, - 2262, 2262, 2262, 2263, 2263, 2263, 2264, 2265, 2266, 2266, 2268, 2269, 2270, 2271, 2271, 2272, 2272, 2273, 2273, 2274, - 2275, 2276, 2277, 2278, 2279, 2279, 2279, 2280, 2284, 2285, 2285, 2286, 2287, 2287, 2289, 2291, 2291, 2292, 2292, 2292 + 1920, 1921, 1922, 1923, 1923, 1924, 1925, 1925, 1927, 1928, 1928, 1929, 1929, 1930, 1931, 1931, + 1931, 1932, 1932, 1933, + 1933, 1934, 1934, 1935, 1936, 1936, 1937, 1937, 1939, 1939, 1940, 1941, 1942, 1942, 1943, 1943, + 1944, 1945, 1947, 1947, + 1948, 1949, 1950, 1950, 1951, 1952, 1953, 1954, 1954, 1955, 1955, 1956, 1956, 1957, 1958, 1958, + 1959, 1959, 1961, 1961, + 1962, 1963, 1964, 1965, 1965, 1966, 1967, 1968, 1968, 1969, 1970, 1972, 1972, 1973, 1974, 1975, + 1975, 1976, 1977, 1978, + 1978, 1980, 1981, 1982, 1984, 1984, 1985, 1985, 1986, 1986, 1987, 1987, 1988, 1989, 1989, 1990, + 1991, 1992, 1992, 1993, + 1993, 1994, 1995, 1995, 1995, 1996, 1996, 1997, 1997, 1998, 1998, 1999, 2000, 2000, 2001, 2001, + 2003, 2003, 2004, 2005, + 2006, 2006, 2006, 2007, 2007, 2007, 2008, 2009, 2011, 2011, 2012, 2013, 2014, 2014, 2015, 2016, + 2016, 2017, 2017, 2018, + 2018, 2019, 2019, 2020, 2020, 2021, 2022, 2022, 2023, 2023, 2023, 2025, 2025, 2026, 2027, 2028, + 2029, 2029, 2029, 2030, + 2031, 2032, 2032, 2033, 2034, 2036, 2036, 2036, 2037, 2038, 2039, 2039, 2040, 2041, 2042, 2042, + 2044, 2044, 2045, 2046, + 2048, 2048, 2049, 2050, 2050, 2051, 2051, 2052, 2052, 2053, 2053, 2054, 2054, 2055, 2055, 2056, + 2057, 2057, 2058, 2058, + 2059, 2059, 2059, 2060, 2060, 2060, 2061, 2061, 2062, 2062, 2063, 2063, 2065, 2068, 2069, 2070, + 2070, 2070, 2071, 2071, + 2071, 2072, 2073, 2073, 2075, 2076, 2076, 2078, 2078, 2078, 2079, 2079, 2080, 2080, 2080, 2081, + 2081, 2081, 2082, 2083, + 2084, 2086, 2086, 2087, 2087, 2087, 2088, 2089, 2092, 2092, 2093, 2093, 2093, 2095, 2100, 2100, + 2100, 2101, 2101, 2102, + 2102, 2103, 2103, 2105, 2106, 2108, 2108, 2109, 2109, 2110, 2113, 2114, 2114, 2115, 2117, 2117, + 2117, 2118, 2119, 2120, + 2120, 2121, 2121, 2122, 2123, 2123, 2123, 2124, 2124, 2125, 2126, 2126, 2127, 2127, 2128, 2128, + 2129, 2130, 2131, 2132, + 2133, 2133, 2134, 2135, 2135, 2136, 2137, 2138, 2138, 2139, 2139, 2140, 2141, 2142, 2142, 2143, + 2143, 2144, 2145, 2146, + 2147, 2147, 2148, 2149, 2150, 2151, 2153, 2153, 2155, 2156, 2157, 2157, 2158, 2159, 2160, 2161, + 2162, 2163, 2163, 2164, + 2164, 2165, 2165, 2166, 2166, 2167, 2168, 2168, 2169, 2170, 2171, 2172, 2172, 2173, 2177, 2178, + 2179, 2179, 2180, 2181, + 2181, 2182, 2183, 2184, 2184, 2185, 2185, 2186, 2186, 2187, 2187, 2188, 2189, 2190, 2190, 2190, + 2191, 2191, 2192, 2194, + 2196, 2197, 2198, 2198, 2199, 2199, 2201, 2202, 2202, 2204, 2205, 2206, 2207, 2207, 2208, 2209, + 2210, 2211, 2212, 2213, + 2214, 2215, 2215, 2216, 2220, 2221, 2222, 2223, 2225, 2227, 2227, 2228, 2228, 2229, 2229, 2230, + 2230, 2231, 2232, 2232, + 2233, 2235, 2235, 2236, 2236, 2237, 2240, 2241, 2241, 2242, 2242, 2243, 2243, 2244, 2245, 2245, + 2246, 2246, 2247, 2248, + 2248, 2249, 2249, 2250, 2250, 2251, 2251, 2252, 2253, 2254, 2254, 2254, 2255, 2255, 2256, 2258, + 2258, 2260, 2261, 2261, + 2262, 2262, 2262, 2263, 2263, 2263, 2264, 2265, 2266, 2266, 2268, 2269, 2270, 2271, 2271, 2272, + 2272, 2273, 2273, 2274, + 2275, 2276, 2277, 2278, 2279, 2279, 2279, 2280, 2284, 2285, 2285, 2286, 2287, 2287, 2289, 2291, + 2291, 2292, 2292, 2292 ] private def ClayworthSurface_edge_src_data_chunk10 : Array (Fin 4032) := #[ - 2293, 2293, 2294, 2294, 2295, 2296, 2296, 2297, 2297, 2299, 2299, 2300, 2300, 2300, 2301, 2303, 2304, 2304, 2305, 2306, - 2307, 2307, 2308, 2308, 2309, 2310, 2310, 2311, 2311, 2312, 2313, 2313, 2314, 2314, 2315, 2315, 2316, 2316, 2317, 2317, - 2318, 2318, 2319, 2319, 2321, 2324, 2324, 2326, 2326, 2326, 2327, 2327, 2327, 2329, 2329, 2332, 2332, 2334, 2334, 2335, - 2335, 2336, 2336, 2336, 2337, 2337, 2337, 2338, 2340, 2341, 2342, 2342, 2343, 2343, 2343, 2344, 2344, 2348, 2348, 2349, - 2349, 2350, 2351, 2356, 2356, 2356, 2357, 2357, 2358, 2358, 2359, 2359, 2360, 2361, 2363, 2364, 2364, 2365, 2365, 2366, - 2371, 2371, 2372, 2375, 2377, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2384, 2384, 2385, 2385, 2385, 2386, 2387, - 2387, 2388, 2388, 2388, 2389, 2389, 2390, 2391, 2392, 2392, 2393, 2393, 2394, 2395, 2395, 2396, 2396, 2397, 2397, 2400, - 2401, 2402, 2402, 2403, 2403, 2404, 2404, 2405, 2405, 2406, 2407, 2407, 2408, 2408, 2409, 2409, 2410, 2411, 2412, 2414, - 2414, 2415, 2415, 2416, 2416, 2417, 2418, 2419, 2420, 2420, 2421, 2424, 2424, 2424, 2425, 2425, 2426, 2426, 2427, 2427, - 2429, 2430, 2430, 2431, 2435, 2435, 2436, 2439, 2441, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2448, 2448, 2449, - 2449, 2449, 2450, 2450, 2451, 2451, 2452, 2452, 2452, 2453, 2453, 2454, 2455, 2456, 2457, 2457, 2458, 2458, 2459, 2460, - 2460, 2461, 2461, 2464, 2465, 2466, 2466, 2467, 2467, 2468, 2468, 2469, 2469, 2470, 2471, 2471, 2472, 2472, 2473, 2474, - 2475, 2476, 2478, 2478, 2479, 2479, 2480, 2480, 2481, 2481, 2482, 2483, 2483, 2484, 2484, 2485, 2488, 2488, 2488, 2489, - 2489, 2490, 2491, 2491, 2493, 2494, 2494, 2495, 2499, 2499, 2500, 2500, 2503, 2503, 2505, 2505, 2506, 2506, 2507, 2508, - 2508, 2509, 2510, 2511, 2512, 2513, 2513, 2514, 2515, 2516, 2516, 2517, 2518, 2519, 2520, 2520, 2521, 2521, 2522, 2523, - 2524, 2524, 2525, 2525, 2526, 2527, 2528, 2529, 2530, 2530, 2532, 2532, 2533, 2533, 2534, 2534, 2535, 2535, 2536, 2538, - 2538, 2539, 2539, 2540, 2540, 2542, 2543, 2543, 2544, 2544, 2545, 2546, 2546, 2548, 2548, 2549, 2549, 2550, 2551, 2553, - 2553, 2557, 2557, 2558, 2559, 2559, 2560, 2563, 2563, 2564, 2564, 2566, 2567, 2567, 2569, 2569, 2570, 2570, 2571, 2572, - 2572, 2573, 2573, 2574, 2575, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2584, 2585, 2586, 2587, 2588, - 2589, 2589, 2590, 2591, 2592, 2592, 2593, 2593, 2594, 2594, 2596, 2596, 2597, 2597, 2598, 2598, 2599, 2599, 2602, 2602, - 2603, 2603, 2604, 2604, 2606, 2607, 2607, 2608, 2608, 2609, 2610, 2610, 2612, 2612, 2613, 2613, 2614, 2615, 2617, 2617, - 2621, 2621, 2623, 2623, 2624, 2627, 2627, 2628, 2628, 2629, 2630, 2631, 2631, 2632, 2633, 2633, 2634, 2634, 2635, 2635, - 2636, 2636, 2637, 2637, 2638, 2638, 2639, 2639, 2641, 2644, 2646, 2646, 2647, 2647, 2649, 2649, 2652, 2652, 2654, 2654, - 2655, 2655, 2656, 2656, 2657, 2657, 2658, 2660, 2662, 2662, 2663, 2663, 2664, 2668, 2668, 2669, 2671, 2676, 2676, 2677, - 2677, 2678, 2678, 2679, 2679, 2681, 2684, 2685, 2685, 2686, 2688, 2691, 2691, 2692, 2692, 2693, 2694, 2695, 2695, 2696 + 2293, 2293, 2294, 2294, 2295, 2296, 2296, 2297, 2297, 2299, 2299, 2300, 2300, 2300, 2301, 2303, + 2304, 2304, 2305, 2306, + 2307, 2307, 2308, 2308, 2309, 2310, 2310, 2311, 2311, 2312, 2313, 2313, 2314, 2314, 2315, 2315, + 2316, 2316, 2317, 2317, + 2318, 2318, 2319, 2319, 2321, 2324, 2324, 2326, 2326, 2326, 2327, 2327, 2327, 2329, 2329, 2332, + 2332, 2334, 2334, 2335, + 2335, 2336, 2336, 2336, 2337, 2337, 2337, 2338, 2340, 2341, 2342, 2342, 2343, 2343, 2343, 2344, + 2344, 2348, 2348, 2349, + 2349, 2350, 2351, 2356, 2356, 2356, 2357, 2357, 2358, 2358, 2359, 2359, 2360, 2361, 2363, 2364, + 2364, 2365, 2365, 2366, + 2371, 2371, 2372, 2375, 2377, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2384, 2384, 2385, + 2385, 2385, 2386, 2387, + 2387, 2388, 2388, 2388, 2389, 2389, 2390, 2391, 2392, 2392, 2393, 2393, 2394, 2395, 2395, 2396, + 2396, 2397, 2397, 2400, + 2401, 2402, 2402, 2403, 2403, 2404, 2404, 2405, 2405, 2406, 2407, 2407, 2408, 2408, 2409, 2409, + 2410, 2411, 2412, 2414, + 2414, 2415, 2415, 2416, 2416, 2417, 2418, 2419, 2420, 2420, 2421, 2424, 2424, 2424, 2425, 2425, + 2426, 2426, 2427, 2427, + 2429, 2430, 2430, 2431, 2435, 2435, 2436, 2439, 2441, 2441, 2442, 2443, 2444, 2445, 2446, 2447, + 2448, 2448, 2448, 2449, + 2449, 2449, 2450, 2450, 2451, 2451, 2452, 2452, 2452, 2453, 2453, 2454, 2455, 2456, 2457, 2457, + 2458, 2458, 2459, 2460, + 2460, 2461, 2461, 2464, 2465, 2466, 2466, 2467, 2467, 2468, 2468, 2469, 2469, 2470, 2471, 2471, + 2472, 2472, 2473, 2474, + 2475, 2476, 2478, 2478, 2479, 2479, 2480, 2480, 2481, 2481, 2482, 2483, 2483, 2484, 2484, 2485, + 2488, 2488, 2488, 2489, + 2489, 2490, 2491, 2491, 2493, 2494, 2494, 2495, 2499, 2499, 2500, 2500, 2503, 2503, 2505, 2505, + 2506, 2506, 2507, 2508, + 2508, 2509, 2510, 2511, 2512, 2513, 2513, 2514, 2515, 2516, 2516, 2517, 2518, 2519, 2520, 2520, + 2521, 2521, 2522, 2523, + 2524, 2524, 2525, 2525, 2526, 2527, 2528, 2529, 2530, 2530, 2532, 2532, 2533, 2533, 2534, 2534, + 2535, 2535, 2536, 2538, + 2538, 2539, 2539, 2540, 2540, 2542, 2543, 2543, 2544, 2544, 2545, 2546, 2546, 2548, 2548, 2549, + 2549, 2550, 2551, 2553, + 2553, 2557, 2557, 2558, 2559, 2559, 2560, 2563, 2563, 2564, 2564, 2566, 2567, 2567, 2569, 2569, + 2570, 2570, 2571, 2572, + 2572, 2573, 2573, 2574, 2575, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2584, + 2585, 2586, 2587, 2588, + 2589, 2589, 2590, 2591, 2592, 2592, 2593, 2593, 2594, 2594, 2596, 2596, 2597, 2597, 2598, 2598, + 2599, 2599, 2602, 2602, + 2603, 2603, 2604, 2604, 2606, 2607, 2607, 2608, 2608, 2609, 2610, 2610, 2612, 2612, 2613, 2613, + 2614, 2615, 2617, 2617, + 2621, 2621, 2623, 2623, 2624, 2627, 2627, 2628, 2628, 2629, 2630, 2631, 2631, 2632, 2633, 2633, + 2634, 2634, 2635, 2635, + 2636, 2636, 2637, 2637, 2638, 2638, 2639, 2639, 2641, 2644, 2646, 2646, 2647, 2647, 2649, 2649, + 2652, 2652, 2654, 2654, + 2655, 2655, 2656, 2656, 2657, 2657, 2658, 2660, 2662, 2662, 2663, 2663, 2664, 2668, 2668, 2669, + 2671, 2676, 2676, 2677, + 2677, 2678, 2678, 2679, 2679, 2681, 2684, 2685, 2685, 2686, 2688, 2691, 2691, 2692, 2692, 2693, + 2694, 2695, 2695, 2696 ] private def ClayworthSurface_edge_src_data_chunk11 : Array (Fin 4032) := #[ - 2697, 2697, 2698, 2698, 2699, 2699, 2700, 2700, 2701, 2701, 2702, 2702, 2703, 2703, 2705, 2708, 2710, 2710, 2711, 2711, - 2713, 2713, 2716, 2716, 2718, 2718, 2719, 2719, 2720, 2720, 2721, 2721, 2722, 2724, 2726, 2726, 2727, 2727, 2728, 2732, - 2732, 2733, 2735, 2740, 2740, 2741, 2741, 2742, 2742, 2743, 2743, 2745, 2748, 2749, 2749, 2750, 2755, 2755, 2756, 2757, - 2759, 2760, 2761, 2761, 2762, 2763, 2763, 2764, 2765, 2766, 2766, 2767, 2774, 2774, 2775, 2775, 2777, 2780, 2782, 2783, - 2784, 2785, 2786, 2788, 2790, 2791, 2791, 2796, 2797, 2799, 2804, 2804, 2805, 2806, 2807, 2809, 2812, 2813, 2816, 2817, - 2818, 2819, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2825, 2826, 2827, 2827, 2828, 2829, 2830, 2830, 2831, 2838, 2838, - 2838, 2839, 2839, 2839, 2841, 2844, 2846, 2847, 2848, 2848, 2849, 2849, 2850, 2852, 2854, 2855, 2855, 2855, 2860, 2861, - 2861, 2863, 2868, 2868, 2868, 2869, 2870, 2871, 2873, 2876, 2876, 2877, 2880, 2881, 2883, 2883, 2884, 2885, 2888, 2888, - 2889, 2890, 2891, 2893, 2893, 2894, 2894, 2895, 2896, 2897, 2899, 2902, 2902, 2903, 2909, 2910, 2911, 2912, 2913, 2914, - 2915, 2916, 2918, 2918, 2919, 2919, 2922, 2924, 2925, 2928, 2929, 2932, 2933, 2934, 2935, 2935, 2938, 2940, 2941, 2942, - 2947, 2947, 2948, 2949, 2951, 2952, 2953, 2953, 2954, 2955, 2955, 2956, 2957, 2958, 2958, 2959, 2966, 2966, 2967, 2967, - 2969, 2972, 2974, 2975, 2976, 2977, 2978, 2980, 2982, 2983, 2983, 2988, 2989, 2991, 2996, 2996, 2997, 2998, 2999, 3001, - 3004, 3005, 3009, 3011, 3013, 3016, 3016, 3017, 3018, 3019, 3021, 3022, 3022, 3023, 3024, 3025, 3026, 3028, 3029, 3030, - 3031, 3033, 3034, 3034, 3036, 3037, 3038, 3039, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3051, 3052, 3053, - 3055, 3056, 3057, 3058, 3059, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3067, 3068, 3068, 3069, 3075, 3077, 3080, 3081, - 3083, 3085, 3086, 3087, 3088, 3090, 3093, 3094, 3095, 3098, 3098, 3101, 3102, 3103, 3104, 3105, 3107, 3110, 3111, 3116, - 3117, 3121, 3123, 3123, 3124, 3125, 3126, 3127, 3128, 3131, 3132, 3133, 3136, 3137, 3138, 3139, 3141, 3142, 3143, 3144, - 3145, 3145, 3147, 3147, 3148, 3149, 3150, 3151, 3158, 3158, 3159, 3159, 3159, 3166, 3167, 3168, 3168, 3169, 3169, 3174, - 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3478, 3479, 3486, 3487, 3494, 3500, 3501, 3509, 3510, 3511, 3516, 3517, 3523, 3528, 3529, 3533, 3534, 3535, 3542, 3550, - 3552, 3553, 3558, 3559, 3564, 3565, 3572, 3573, 3575, 3581, 3597, 3599, 3622, 3628, 3637, 3645, 3661, 3663, 3686, 3692, + 3478, 3479, 3486, 3487, 3494, 3500, 3501, 3509, 3510, 3511, 3516, 3517, 3523, 3528, 3529, 3533, + 3534, 3535, 3542, 3550, + 3552, 3553, 3558, 3559, 3564, 3565, 3572, 3573, 3575, 3581, 3597, 3599, 3622, 3628, 3637, 3645, + 3661, 3663, 3686, 3692, 3701, 3709, 3725, 3727, 3750, 3756, 3765, 3773 ] private def ClayworthSurface_edge_src_data : Array (Fin 4032) := - ClayworthSurface_edge_src_data_chunk0 ++ ClayworthSurface_edge_src_data_chunk1 ++ ClayworthSurface_edge_src_data_chunk2 ++ ClayworthSurface_edge_src_data_chunk3 ++ ClayworthSurface_edge_src_data_chunk4 ++ ClayworthSurface_edge_src_data_chunk5 ++ ClayworthSurface_edge_src_data_chunk6 ++ ClayworthSurface_edge_src_data_chunk7 ++ ClayworthSurface_edge_src_data_chunk8 ++ ClayworthSurface_edge_src_data_chunk9 ++ ClayworthSurface_edge_src_data_chunk10 ++ ClayworthSurface_edge_src_data_chunk11 ++ ClayworthSurface_edge_src_data_chunk12 + ClayworthSurface_edge_src_data_chunk0 ++ ClayworthSurface_edge_src_data_chunk1 ++ + ClayworthSurface_edge_src_data_chunk2 ++ ClayworthSurface_edge_src_data_chunk3 ++ + ClayworthSurface_edge_src_data_chunk4 ++ ClayworthSurface_edge_src_data_chunk5 ++ + ClayworthSurface_edge_src_data_chunk6 ++ ClayworthSurface_edge_src_data_chunk7 ++ + ClayworthSurface_edge_src_data_chunk8 ++ ClayworthSurface_edge_src_data_chunk9 ++ + ClayworthSurface_edge_src_data_chunk10 ++ ClayworthSurface_edge_src_data_chunk11 ++ + ClayworthSurface_edge_src_data_chunk12 private def ClayworthSurface_edge_tgt_data_chunk0 : Array (Fin 4032) := #[ - 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3819, 1651, 2012, 3570, 744, 1386, 1682, 804, 1522, 3608, 874, 1000, 1810, 866, 1019, 3877, 905, 1274, 3825, 1647, - 2482, 3498, 1042, 1514, 1704, 755, 1305, 3931, 1011, 1180, 3890, 978, 1192, 2410, 889, 1083, 3886, 751, 2418, 3741, - 1779, 2201, 3547, 1257, 1948, 3802, 1235, 1540, 1960, 1106, 2302, 2474, 1506, 1723, 3761, 882, 1316, 3928, 793, 1203, - 3611, 732, 1715, 3738, 1597, 1775, 3135, 899, 1147, 3824, 830, 1170, 1407, 895, 1064, 1299, 964, 1663, 3184, 1650, - 2027, 3179, 1771, 2283, 2859, 637, 3048, 3375, 583, 2152, 3346, 1668, 2282, 2864, 967, 1770, 2288, 580, 1918, 3474, - 2032, 2628, 3178, 620, 3067, 3503, 2010, 2140, 3379, 1708, 2865, 3515, 1881, 2842, 3507, 1004, 3185, 3835, 2033, 2668, - 3387, 1021, 2289, 3816, 2393, 2731, 3439, 1074, 2465, 3888, 530, 1834, 3262, 467, 2430, 2730, 1067, 3297, 3889, 1835, - 3225, 3759, 1777, 2685, 3368, 1646, 1725, 3496, 1441, 1842, 3730, 506, 1081, 4015, 1380, 3241, 3413, 1460, 2409, 3733, - 571, 1058, 3986, 1369, 2738, 3410, 1892, 2633, 2845, 1673, 2013, 2159, 969, 1757, 3055, 963, 1624, 3026, 683, 2745, - 4008, 2492, 3236, 3769, 489, 2722, 3996, 1468, 3316, 3875, 1897, 3162, 3827, 1754, 3036, 3356, 552, 1066, 3264, 484, - 2426, 3736, 682, 1406, 2751, 674, 1402, 3902, 585, 2171, 3823, 1776, 2631, 2858, 1431, 2387, 3287, 563, 1826, 4019, - 1385, 2484, 3857, 1363, 2455, 3219, 697, 1409, 3898, 559, 3258, 3416, 1627, 3059, 3484, 2163, 2266, 3804, 1667, 2130, - 2269, 1875, 2627, 3165, 2404, 3324, 3449, 690, 1849, 4027, 473, 2433, 3775, 540, 3265, 3455, 1637, 1671, 2026, 579, - 1914, 3794, 510, 1087, 2432, 703, 1408, 1855, 1028, 1791, 2789, 1778, 2226, 2802, 1643, 1970, 2987, 701, 2927, 3071, - 647, 2174, 2898, 1156, 1983, 2992, 1031, 1642, 1957, 644, 1896, 3091, 2052, 2213, 2815, 684, 3032, 3108, 2137, 2203, - 2931, 1196, 2993, 3130, 1884, 2970, 3113, 1068, 2798, 3839, 2092, 2222, 2939, 1085, 1966, 3800, 1497, 2354, 3695, 1010, - 1564, 3859, 466, 1343, 2558, 531, 1534, 2367, 1003, 2588, 3876, 1330, 2521, 3620, 1649, 2109, 2920, 1213, 1774, 3134, - 1323, 1440, 3603, 570, 1017, 4005, 1391, 2537, 3669, 1447, 1513, 3600, 507, 994, 4014, 1372, 2347, 3666, 1903, 2057, - 2973, 1161, 2148, 2200, 1033, 1629, 3045, 1027, 1752, 3054, 619, 2338, 4031, 1587, 2532, 3618, 553, 2361, 4018, 1453, - 2607, 3874, 1907, 2779, 3826, 1626, 2908, 3058, 488, 1002, 2600, 548, 1530, 3613, 618, 1384, 2346, 610, 1403, 3869, - 649, 2170, 3822, 1648, 2055, 2986, 1430, 1491, 2578, 499, 1337, 3995, 1395, 1583, 3856, 1362, 1554, 2515, 633, 1410, - 3882, 495, 2554, 3672, 1755, 3035, 3097, 1947, 2153, 3803, 1155, 1944, 2131, 1874, 2051, 2776, 1508, 2611, 3705, 626, - 1314, 3992, 537, 1595, 3626, 476, 2619, 3711, 1159, 1765, 2239, 643, 1915, 3813, 574, 1023, 1576, 639, 1322, 1414, - 708, 1151, 2981, 1138, 2290, 2994, 1266, 2034, 2795, 509, 2926, 3070, 455, 2175, 2917, 1796, 2047, 2800, 711, 1279, - 2021, 452, 1919, 3493, 2277, 2311, 3007, 492, 3066, 3502, 2162, 2267, 2930, 1836, 2801, 3519, 1906, 2778, 3506, 748 + 3819, 1651, 2012, 3570, 744, 1386, 1682, 804, 1522, 3608, 874, 1000, 1810, 866, 1019, 3877, + 905, 1274, 3825, 1647, + 2482, 3498, 1042, 1514, 1704, 755, 1305, 3931, 1011, 1180, 3890, 978, 1192, 2410, 889, 1083, + 3886, 751, 2418, 3741, + 1779, 2201, 3547, 1257, 1948, 3802, 1235, 1540, 1960, 1106, 2302, 2474, 1506, 1723, 3761, 882, + 1316, 3928, 793, 1203, + 3611, 732, 1715, 3738, 1597, 1775, 3135, 899, 1147, 3824, 830, 1170, 1407, 895, 1064, 1299, + 964, 1663, 3184, 1650, + 2027, 3179, 1771, 2283, 2859, 637, 3048, 3375, 583, 2152, 3346, 1668, 2282, 2864, 967, 1770, + 2288, 580, 1918, 3474, + 2032, 2628, 3178, 620, 3067, 3503, 2010, 2140, 3379, 1708, 2865, 3515, 1881, 2842, 3507, 1004, + 3185, 3835, 2033, 2668, + 3387, 1021, 2289, 3816, 2393, 2731, 3439, 1074, 2465, 3888, 530, 1834, 3262, 467, 2430, 2730, + 1067, 3297, 3889, 1835, + 3225, 3759, 1777, 2685, 3368, 1646, 1725, 3496, 1441, 1842, 3730, 506, 1081, 4015, 1380, 3241, + 3413, 1460, 2409, 3733, + 571, 1058, 3986, 1369, 2738, 3410, 1892, 2633, 2845, 1673, 2013, 2159, 969, 1757, 3055, 963, + 1624, 3026, 683, 2745, + 4008, 2492, 3236, 3769, 489, 2722, 3996, 1468, 3316, 3875, 1897, 3162, 3827, 1754, 3036, 3356, + 552, 1066, 3264, 484, + 2426, 3736, 682, 1406, 2751, 674, 1402, 3902, 585, 2171, 3823, 1776, 2631, 2858, 1431, 2387, + 3287, 563, 1826, 4019, + 1385, 2484, 3857, 1363, 2455, 3219, 697, 1409, 3898, 559, 3258, 3416, 1627, 3059, 3484, 2163, + 2266, 3804, 1667, 2130, + 2269, 1875, 2627, 3165, 2404, 3324, 3449, 690, 1849, 4027, 473, 2433, 3775, 540, 3265, 3455, + 1637, 1671, 2026, 579, + 1914, 3794, 510, 1087, 2432, 703, 1408, 1855, 1028, 1791, 2789, 1778, 2226, 2802, 1643, 1970, + 2987, 701, 2927, 3071, + 647, 2174, 2898, 1156, 1983, 2992, 1031, 1642, 1957, 644, 1896, 3091, 2052, 2213, 2815, 684, + 3032, 3108, 2137, 2203, + 2931, 1196, 2993, 3130, 1884, 2970, 3113, 1068, 2798, 3839, 2092, 2222, 2939, 1085, 1966, 3800, + 1497, 2354, 3695, 1010, + 1564, 3859, 466, 1343, 2558, 531, 1534, 2367, 1003, 2588, 3876, 1330, 2521, 3620, 1649, 2109, + 2920, 1213, 1774, 3134, + 1323, 1440, 3603, 570, 1017, 4005, 1391, 2537, 3669, 1447, 1513, 3600, 507, 994, 4014, 1372, + 2347, 3666, 1903, 2057, + 2973, 1161, 2148, 2200, 1033, 1629, 3045, 1027, 1752, 3054, 619, 2338, 4031, 1587, 2532, 3618, + 553, 2361, 4018, 1453, + 2607, 3874, 1907, 2779, 3826, 1626, 2908, 3058, 488, 1002, 2600, 548, 1530, 3613, 618, 1384, + 2346, 610, 1403, 3869, + 649, 2170, 3822, 1648, 2055, 2986, 1430, 1491, 2578, 499, 1337, 3995, 1395, 1583, 3856, 1362, + 1554, 2515, 633, 1410, + 3882, 495, 2554, 3672, 1755, 3035, 3097, 1947, 2153, 3803, 1155, 1944, 2131, 1874, 2051, 2776, + 1508, 2611, 3705, 626, + 1314, 3992, 537, 1595, 3626, 476, 2619, 3711, 1159, 1765, 2239, 643, 1915, 3813, 574, 1023, + 1576, 639, 1322, 1414, + 708, 1151, 2981, 1138, 2290, 2994, 1266, 2034, 2795, 509, 2926, 3070, 455, 2175, 2917, 1796, + 2047, 2800, 711, 1279, + 2021, 452, 1919, 3493, 2277, 2311, 3007, 492, 3066, 3502, 2162, 2267, 2930, 1836, 2801, 3519, + 1906, 2778, 3506, 748 ] private def ClayworthSurface_edge_tgt_data_chunk2 : Array (Fin 4032) := #[ - 2990, 3578, 2286, 2365, 2943, 765, 2030, 3582, 2091, 2396, 3694, 811, 2464, 3923, 658, 1706, 2536, 595, 2090, 2408, - 818, 2585, 3940, 1707, 2524, 3758, 1262, 2348, 2904, 1134, 1853, 3480, 924, 1714, 3749, 634, 802, 3997, 868, 2547, - 3668, 943, 2419, 3732, 699, 825, 4010, 857, 2098, 3685, 1893, 2307, 2781, 1801, 2149, 2264, 713, 1240, 3044, 707, - 1112, 3027, 555, 2105, 3987, 2477, 2543, 3768, 617, 2082, 3984, 947, 2596, 3938, 1883, 2971, 3561, 1243, 2907, 3033, - 680, 831, 2622, 612, 2427, 3752, 554, 894, 2111, 546, 890, 3933, 457, 2136, 3556, 1253, 2308, 2794, 914, 2386, - 2579, 691, 1698, 4002, 873, 2471, 3920, 851, 2454, 2514, 569, 955, 3946, 687, 2555, 3688, 1115, 3049, 3483, 2011, - 2139, 3545, 1795, 2008, 2158, 1902, 2313, 2968, 2415, 2601, 3704, 562, 1721, 4004, 601, 2434, 3771, 668, 2618, 3707, - 1125, 1799, 2303, 451, 1880, 3539, 638, 810, 2438, 575, 936, 1727, 775, 1258, 2853, 1259, 1963, 2866, 1131, 2219, - 3186, 573, 3050, 3374, 519, 2154, 3365, 1287, 2218, 3173, 772, 1130, 2224, 516, 1898, 3120, 1968, 2692, 2879, 556, - 3037, 3121, 1946, 2155, 3378, 1341, 3114, 3182, 1899, 3115, 3163, 829, 2862, 3562, 1969, 2732, 3391, 812, 2225, 3549, - 1500, 2667, 3438, 754, 1561, 3952, 594, 1194, 3240, 659, 1512, 2666, 747, 3296, 3953, 1195, 3228, 3633, 1137, 2749, - 3352, 1265, 1324, 3101, 921, 1202, 3632, 698, 761, 4026, 879, 3251, 3412, 932, 1523, 3601, 635, 738, 4030, 860, - 2674, 3429, 1904, 2697, 3160, 1283, 1949, 2160, 771, 1117, 3056, 777, 1245, 3057, 491, 2681, 4017, 1577, 3247, 3619, - 681, 2658, 4003, 937, 3303, 3939, 1882, 2843, 3563, 1114, 3051, 3355, 616, 746, 3270, 676, 1531, 3646, 490, 872, - 2687, 482, 891, 3966, 521, 2141, 3569, 1136, 2695, 3199, 915, 1490, 3286, 627, 1186, 3985, 883, 1572, 3921, 850, - 1555, 3218, 505, 954, 3962, 623, 3259, 3432, 1242, 3034, 3098, 2138, 2202, 3546, 1289, 2161, 2205, 1905, 2691, 2840, - 1519, 3309, 3448, 498, 1209, 4016, 665, 1594, 3642, 604, 3266, 3451, 1264, 1284, 1962, 515, 1885, 3568, 702, 767, - 1598, 511, 958, 1215, 1023, 1604, 2725, 1010, 1195, 2738, 1067, 1323, 2667, 3014, 3695, 2119, 3666, 1322, 2183, 2672, - 1066, 1328, 1607, 1863, 3730, 1200, 2751, 2820, 3010, 3759, 1178, 2173, 3699, 2237, 2673, 3771, 1917, 2650, 3763, 1644, - 2734, 3946, 1201, 2860, 3707, 1329, 1661, 3933, 2460, 2927, 3186, 1778, 2400, 3568, 1962, 2560, 2472, 3199, 1771, 2528, - 3569, 1963, 2593, 3503, 1073, 2877, 3688, 1006, 2220, 3752, 865, 1970, 3474, 1785, 3972, 935, 2620, 2901, 884, 2483, - 3477, 1762, 3978, 928, 2898, 3179, 1894, 2653, 2825, 1181, 2150, 2179, 1053, 1609, 3047, 984, 1603, 3030, 3170, 4007, - 2413, 2612, 3513, 3193, 3971, 892, 2535, 3555, 1886, 2715, 3947, 1050, 3040, 3676, 1770, 2502, 2491, 3480, 902, 3178, - 898, 3582, 2124, 3953, 1072, 2666, 2823, 855, 2450, 2518, 1954, 3982, 941, 2407, 3537, 918, 2390, 2583, 833, 3578, - 2561, 2904, 987, 3053, 3740, 1306, 2142, 3930, 1309, 2167, 2185, 1911, 2712, 2819, 2479, 2541, 2937, 1977, 3990, 2370 + 2990, 3578, 2286, 2365, 2943, 765, 2030, 3582, 2091, 2396, 3694, 811, 2464, 3923, 658, 1706, + 2536, 595, 2090, 2408, + 818, 2585, 3940, 1707, 2524, 3758, 1262, 2348, 2904, 1134, 1853, 3480, 924, 1714, 3749, 634, + 802, 3997, 868, 2547, + 3668, 943, 2419, 3732, 699, 825, 4010, 857, 2098, 3685, 1893, 2307, 2781, 1801, 2149, 2264, + 713, 1240, 3044, 707, + 1112, 3027, 555, 2105, 3987, 2477, 2543, 3768, 617, 2082, 3984, 947, 2596, 3938, 1883, 2971, + 3561, 1243, 2907, 3033, + 680, 831, 2622, 612, 2427, 3752, 554, 894, 2111, 546, 890, 3933, 457, 2136, 3556, 1253, 2308, + 2794, 914, 2386, + 2579, 691, 1698, 4002, 873, 2471, 3920, 851, 2454, 2514, 569, 955, 3946, 687, 2555, 3688, 1115, + 3049, 3483, 2011, + 2139, 3545, 1795, 2008, 2158, 1902, 2313, 2968, 2415, 2601, 3704, 562, 1721, 4004, 601, 2434, + 3771, 668, 2618, 3707, + 1125, 1799, 2303, 451, 1880, 3539, 638, 810, 2438, 575, 936, 1727, 775, 1258, 2853, 1259, 1963, + 2866, 1131, 2219, + 3186, 573, 3050, 3374, 519, 2154, 3365, 1287, 2218, 3173, 772, 1130, 2224, 516, 1898, 3120, + 1968, 2692, 2879, 556, + 3037, 3121, 1946, 2155, 3378, 1341, 3114, 3182, 1899, 3115, 3163, 829, 2862, 3562, 1969, 2732, + 3391, 812, 2225, 3549, + 1500, 2667, 3438, 754, 1561, 3952, 594, 1194, 3240, 659, 1512, 2666, 747, 3296, 3953, 1195, + 3228, 3633, 1137, 2749, + 3352, 1265, 1324, 3101, 921, 1202, 3632, 698, 761, 4026, 879, 3251, 3412, 932, 1523, 3601, 635, + 738, 4030, 860, + 2674, 3429, 1904, 2697, 3160, 1283, 1949, 2160, 771, 1117, 3056, 777, 1245, 3057, 491, 2681, + 4017, 1577, 3247, 3619, + 681, 2658, 4003, 937, 3303, 3939, 1882, 2843, 3563, 1114, 3051, 3355, 616, 746, 3270, 676, + 1531, 3646, 490, 872, + 2687, 482, 891, 3966, 521, 2141, 3569, 1136, 2695, 3199, 915, 1490, 3286, 627, 1186, 3985, 883, + 1572, 3921, 850, + 1555, 3218, 505, 954, 3962, 623, 3259, 3432, 1242, 3034, 3098, 2138, 2202, 3546, 1289, 2161, + 2205, 1905, 2691, 2840, + 1519, 3309, 3448, 498, 1209, 4016, 665, 1594, 3642, 604, 3266, 3451, 1264, 1284, 1962, 515, + 1885, 3568, 702, 767, + 1598, 511, 958, 1215, 1023, 1604, 2725, 1010, 1195, 2738, 1067, 1323, 2667, 3014, 3695, 2119, + 3666, 1322, 2183, 2672, + 1066, 1328, 1607, 1863, 3730, 1200, 2751, 2820, 3010, 3759, 1178, 2173, 3699, 2237, 2673, 3771, + 1917, 2650, 3763, 1644, + 2734, 3946, 1201, 2860, 3707, 1329, 1661, 3933, 2460, 2927, 3186, 1778, 2400, 3568, 1962, 2560, + 2472, 3199, 1771, 2528, + 3569, 1963, 2593, 3503, 1073, 2877, 3688, 1006, 2220, 3752, 865, 1970, 3474, 1785, 3972, 935, + 2620, 2901, 884, 2483, + 3477, 1762, 3978, 928, 2898, 3179, 1894, 2653, 2825, 1181, 2150, 2179, 1053, 1609, 3047, 984, + 1603, 3030, 3170, 4007, + 2413, 2612, 3513, 3193, 3971, 892, 2535, 3555, 1886, 2715, 3947, 1050, 3040, 3676, 1770, 2502, + 2491, 3480, 902, 3178, + 898, 3582, 2124, 3953, 1072, 2666, 2823, 855, 2450, 2518, 1954, 3982, 941, 2407, 3537, 918, + 2390, 2583, 833, 3578, + 2561, 2904, 987, 3053, 3740, 1306, 2142, 3930, 1309, 2167, 2185, 1911, 2712, 2819, 2479, 2541, + 2937, 1977, 3990, 2370 ] private def ClayworthSurface_edge_tgt_data_chunk3 : Array (Fin 4032) := #[ - 3519, 2498, 2943, 997, 1194, 2180, 1868, 3952, 1791, 2374, 832, 1983, 1087, 1732, 2352, 1074, 1707, 2347, 1003, 1842, - 2091, 3012, 3439, 2116, 3410, 1855, 1988, 2096, 1002, 1735, 1829, 1860, 3603, 1712, 2346, 2948, 3018, 3620, 1690, 2156, - 3443, 2028, 2097, 3642, 1900, 2074, 3625, 1772, 2353, 3962, 1713, 2988, 3451, 1789, 1838, 3966, 1569, 2795, 3375, 1504, - 1650, 3539, 2303, 3304, 1536, 2794, 1643, 3232, 3556, 2290, 3108, 3292, 1009, 3005, 3432, 1070, 2045, 3646, 864, 2283, - 3091, 1657, 3974, 948, 3315, 3349, 871, 1596, 3088, 1634, 3970, 929, 2802, 3346, 1909, 2077, 2953, 1693, 1993, 2165, - 989, 1737, 3061, 1048, 1731, 3062, 2809, 4021, 1517, 3106, 3311, 2786, 3983, 877, 3239, 3554, 1887, 2330, 3945, 986, - 3052, 3420, 1642, 3206, 1537, 3101, 896, 2815, 897, 3549, 2122, 3940, 1008, 2090, 2951, 854, 1559, 3222, 2297, 3973, - 956, 1511, 3536, 919, 1494, 3282, 834, 3562, 3323, 3352, 1051, 3039, 3609, 1819, 2143, 3929, 1816, 1987, 2166, 1910, - 2333, 2947, 1588, 3245, 3385, 2274, 4022, 1474, 3114, 3202, 3391, 1061, 1706, 1991, 1866, 3923, 1478, 1663, 838, 2282, - 767, 1092, 2085, 754, 1330, 2098, 818, 1202, 2354, 3008, 3438, 2112, 3429, 1215, 1924, 2341, 831, 1095, 1189, 1862, - 3749, 1317, 2111, 2756, 3009, 3758, 1307, 2145, 3442, 1964, 2350, 3775, 1888, 2331, 3762, 1132, 2094, 3898, 1326, 2796, - 3455, 1149, 1198, 3902, 2457, 2987, 3374, 1259, 2401, 3813, 2239, 3326, 2494, 2986, 1266, 3233, 3822, 2226, 3289, 3502, - 814, 2813, 3416, 750, 1981, 3736, 1377, 2219, 3493, 1250, 4023, 1444, 3305, 3348, 1396, 2473, 3476, 1273, 4006, 1433, - 2994, 3365, 1895, 2328, 2761, 1304, 1929, 2164, 792, 1097, 3060, 728, 1091, 3031, 3001, 3980, 2428, 3300, 3512, 2978, - 3998, 1404, 3252, 3832, 1901, 2075, 3881, 795, 3041, 3419, 1279, 3200, 2490, 3496, 1470, 3007, 1466, 3816, 2113, 3876, - 805, 2367, 2759, 1367, 2451, 3223, 2233, 4029, 1449, 2420, 3796, 1427, 2391, 3283, 1345, 3835, 3322, 3368, 731, 3068, - 3739, 1179, 2172, 3865, 1176, 1923, 2135, 1878, 2072, 2755, 2468, 3260, 3384, 2210, 3975, 2369, 3515, 3201, 3387, 741, - 1343, 1927, 1858, 3859, 1258, 2368, 1344, 2218, 810, 1223, 2661, 811, 1835, 2674, 747, 1714, 2731, 3015, 3694, 2118, - 3685, 1727, 2247, 2736, 746, 1220, 1701, 1856, 3632, 1840, 2687, 3143, 3020, 3633, 1818, 2144, 3698, 2301, 2737, 3626, - 1889, 2714, 3627, 1277, 2670, 3882, 1841, 3197, 3711, 1260, 1710, 3869, 1568, 2859, 2926, 1138, 1505, 3794, 2026, 2566, - 1542, 2858, 1131, 2529, 3823, 2027, 2592, 3121, 753, 3180, 3672, 817, 2284, 3613, 1376, 2034, 3120, 1145, 3991, 1455, - 2605, 2900, 1383, 1581, 3089, 1122, 4020, 1436, 2866, 2917, 1908, 2717, 3139, 1821, 2151, 2243, 733, 1219, 3046, 797, - 1225, 3063, 2873, 3969, 1532, 2599, 3107, 2850, 4028, 1389, 2548, 3833, 1916, 2651, 3883, 730, 3069, 3675, 1130, 2496, - 1538, 3134, 1448, 2879, 1467, 3800, 2114, 3889, 752, 2730, 3140, 1366, 1558, 2519, 2018, 4001, 1459, 1524, 3797, 1426, - 1495, 2582, 1346, 3839, 2562, 2920, 794, 3038, 3610, 1691, 2157, 3866, 1688, 2134, 2249, 1879, 2648, 3145, 1575, 2556 + 3519, 2498, 2943, 997, 1194, 2180, 1868, 3952, 1791, 2374, 832, 1983, 1087, 1732, 2352, 1074, + 1707, 2347, 1003, 1842, + 2091, 3012, 3439, 2116, 3410, 1855, 1988, 2096, 1002, 1735, 1829, 1860, 3603, 1712, 2346, 2948, + 3018, 3620, 1690, 2156, + 3443, 2028, 2097, 3642, 1900, 2074, 3625, 1772, 2353, 3962, 1713, 2988, 3451, 1789, 1838, 3966, + 1569, 2795, 3375, 1504, + 1650, 3539, 2303, 3304, 1536, 2794, 1643, 3232, 3556, 2290, 3108, 3292, 1009, 3005, 3432, 1070, + 2045, 3646, 864, 2283, + 3091, 1657, 3974, 948, 3315, 3349, 871, 1596, 3088, 1634, 3970, 929, 2802, 3346, 1909, 2077, + 2953, 1693, 1993, 2165, + 989, 1737, 3061, 1048, 1731, 3062, 2809, 4021, 1517, 3106, 3311, 2786, 3983, 877, 3239, 3554, + 1887, 2330, 3945, 986, + 3052, 3420, 1642, 3206, 1537, 3101, 896, 2815, 897, 3549, 2122, 3940, 1008, 2090, 2951, 854, + 1559, 3222, 2297, 3973, + 956, 1511, 3536, 919, 1494, 3282, 834, 3562, 3323, 3352, 1051, 3039, 3609, 1819, 2143, 3929, + 1816, 1987, 2166, 1910, + 2333, 2947, 1588, 3245, 3385, 2274, 4022, 1474, 3114, 3202, 3391, 1061, 1706, 1991, 1866, 3923, + 1478, 1663, 838, 2282, + 767, 1092, 2085, 754, 1330, 2098, 818, 1202, 2354, 3008, 3438, 2112, 3429, 1215, 1924, 2341, + 831, 1095, 1189, 1862, + 3749, 1317, 2111, 2756, 3009, 3758, 1307, 2145, 3442, 1964, 2350, 3775, 1888, 2331, 3762, 1132, + 2094, 3898, 1326, 2796, + 3455, 1149, 1198, 3902, 2457, 2987, 3374, 1259, 2401, 3813, 2239, 3326, 2494, 2986, 1266, 3233, + 3822, 2226, 3289, 3502, + 814, 2813, 3416, 750, 1981, 3736, 1377, 2219, 3493, 1250, 4023, 1444, 3305, 3348, 1396, 2473, + 3476, 1273, 4006, 1433, + 2994, 3365, 1895, 2328, 2761, 1304, 1929, 2164, 792, 1097, 3060, 728, 1091, 3031, 3001, 3980, + 2428, 3300, 3512, 2978, + 3998, 1404, 3252, 3832, 1901, 2075, 3881, 795, 3041, 3419, 1279, 3200, 2490, 3496, 1470, 3007, + 1466, 3816, 2113, 3876, + 805, 2367, 2759, 1367, 2451, 3223, 2233, 4029, 1449, 2420, 3796, 1427, 2391, 3283, 1345, 3835, + 3322, 3368, 731, 3068, + 3739, 1179, 2172, 3865, 1176, 1923, 2135, 1878, 2072, 2755, 2468, 3260, 3384, 2210, 3975, 2369, + 3515, 3201, 3387, 741, + 1343, 1927, 1858, 3859, 1258, 2368, 1344, 2218, 810, 1223, 2661, 811, 1835, 2674, 747, 1714, + 2731, 3015, 3694, 2118, + 3685, 1727, 2247, 2736, 746, 1220, 1701, 1856, 3632, 1840, 2687, 3143, 3020, 3633, 1818, 2144, + 3698, 2301, 2737, 3626, + 1889, 2714, 3627, 1277, 2670, 3882, 1841, 3197, 3711, 1260, 1710, 3869, 1568, 2859, 2926, 1138, + 1505, 3794, 2026, 2566, + 1542, 2858, 1131, 2529, 3823, 2027, 2592, 3121, 753, 3180, 3672, 817, 2284, 3613, 1376, 2034, + 3120, 1145, 3991, 1455, + 2605, 2900, 1383, 1581, 3089, 1122, 4020, 1436, 2866, 2917, 1908, 2717, 3139, 1821, 2151, 2243, + 733, 1219, 3046, 797, + 1225, 3063, 2873, 3969, 1532, 2599, 3107, 2850, 4028, 1389, 2548, 3833, 1916, 2651, 3883, 730, + 3069, 3675, 1130, 2496, + 1538, 3134, 1448, 2879, 1467, 3800, 2114, 3889, 752, 2730, 3140, 1366, 1558, 2519, 2018, 4001, + 1459, 1524, 3797, 1426, + 1495, 2582, 1346, 3839, 2562, 2920, 794, 3038, 3610, 1691, 2157, 3866, 1688, 2134, 2249, 1879, + 2648, 3145, 1575, 2556 ] private def ClayworthSurface_edge_tgt_data_chunk4 : Array (Fin 4032) := #[ - 2936, 2041, 3968, 1473, 3130, 2497, 2939, 816, 1834, 2244, 1857, 3888, 1151, 1472, 1350, 2047, 1407, 1600, 2714, 1394, - 1577, 2739, 1321, 1469, 3309, 3526, 3760, 1223, 3755, 1299, 3079, 3294, 1307, 1415, 1606, 1095, 3691, 1563, 2706, 3332, - 3522, 3696, 1277, 1592, 3762, 3133, 3319, 3685, 1149, 3272, 3698, 1633, 2737, 4010, 1582, 3372, 3749, 1326, 1632, 3997, - 2031, 2102, 3163, 1756, 2527, 3056, 1669, 1949, 2053, 3160, 1753, 2399, 3057, 1718, 1946, 2991, 1463, 3389, 3732, 1390, - 3116, 3668, 1971, 2962, 1748, 3908, 1670, 2005, 2054, 2965, 1745, 3914, 2002, 3177, 1126, 3278, 3337, 1254, 1552, 3075, - 1420, 1615, 3559, 1368, 1613, 3542, 3171, 3943, 1717, 2504, 3001, 3157, 3907, 2378, 3043, 1118, 2723, 4011, 1438, 3552, - 3729, 1790, 2428, 2050, 2968, 3194, 3070, 1228, 4017, 1446, 3286, 3335, 2063, 2382, 1936, 3918, 2506, 3025, 1679, 2510, - 3066, 1666, 2008, 1371, 3565, 3665, 1246, 1336, 3994, 1271, 1296, 3081, 1143, 2709, 3331, 2041, 2101, 2376, 1976, 3926, - 2497, 3007, 2047, 2369, 1381, 1555, 3076, 1100, 4016, 1768, 2556, 1979, 1412, 1734, 1818, 1452, 1843, 2601, 1387, 2345, - 2477, 3440, 3524, 1220, 3435, 2323, 2462, 2884, 1386, 1728, 2331, 1092, 3634, 1810, 2587, 3460, 3530, 3621, 1260, 2616, - 3442, 2487, 2924, 3632, 1132, 2440, 3627, 1760, 1841, 4026, 2606, 3429, 3500, 1761, 2350, 4030, 1206, 2267, 2863, 1503, - 1625, 3027, 2629, 2781, 1157, 2264, 1628, 3044, 3231, 2212, 2678, 2778, 1393, 3412, 3517, 1462, 2941, 3601, 2195, 2803, - 1617, 3910, 2630, 2837, 1158, 2192, 1620, 3906, 2281, 2834, 1141, 2446, 3465, 1269, 2576, 2889, 1373, 1741, 3573, 1418, - 1743, 3574, 2275, 3957, 1480, 2210, 2677, 2261, 3919, 3042, 3210, 1119, 1827, 4009, 1370, 3409, 3564, 1640, 3260, 1154, - 2205, 2298, 3037, 1226, 4004, 1392, 2454, 3463, 1167, 3214, 2768, 3909, 1482, 3024, 1486, 2639, 3050, 2626, 2840, 1439, - 3551, 3604, 1247, 2360, 3993, 1270, 2320, 2883, 1142, 1813, 3459, 1205, 2873, 3208, 2808, 3958, 1473, 2218, 2879, 3201, - 1461, 2579, 2887, 1098, 3987, 1532, 1662, 2811, 1860, 2437, 1338, 2434, 1594, 1851, 3448, 3520, 1216, 3451, 1598, 1848, - 1930, 1571, 1863, 1094, 3707, 1315, 2252, 2438, 3521, 3704, 1249, 1328, 3443, 1838, 1951, 3674, 1120, 1829, 3699, 1900, - 2486, 3887, 1329, 2270, 3418, 1585, 1917, 3858, 2079, 2862, 3499, 2155, 2550, 3824, 2684, 3135, 2108, 3498, 2162, 3254, - 3825, 2655, 2990, 3122, 2285, 3421, 1980, 3677, 993, 2981, 3115, 2146, 3959, 1076, 2632, 2836, 1012, 2056, 2964, 2169, - 3942, 1057, 2853, 3506, 1127, 1812, 2245, 1268, 1297, 1928, 1865, 3572, 1859, 3543, 3513, 3916, 2502, 2634, 3000, 3490, - 3934, 1020, 3253, 3811, 1133, 2485, 3897, 3408, 3553, 2175, 3205, 2049, 2984, 1024, 3519, 1025, 3838, 1217, 3864, 1832, - 2242, 983, 2062, 3215, 3129, 3965, 1084, 2549, 3793, 1047, 2511, 2638, 961, 3834, 2625, 2856, 3580, 3664, 1276, 1584, - 3861, 1239, 1553, 1934, 1110, 2251, 2447, 2058, 2872, 3206, 3106, 3911, 2498, 3003, 2875, 3202, 1342, 1921, 1090, 3903, - 2154, 2501, 960, 3114, 2119, 3269, 2362, 3266, 2618, 2747, 3527, 3768, 1222, 3771, 2622, 2744, 2762, 2116, 2595, 1088 + 2936, 2041, 3968, 1473, 3130, 2497, 2939, 816, 1834, 2244, 1857, 3888, 1151, 1472, 1350, 2047, + 1407, 1600, 2714, 1394, + 1577, 2739, 1321, 1469, 3309, 3526, 3760, 1223, 3755, 1299, 3079, 3294, 1307, 1415, 1606, 1095, + 3691, 1563, 2706, 3332, + 3522, 3696, 1277, 1592, 3762, 3133, 3319, 3685, 1149, 3272, 3698, 1633, 2737, 4010, 1582, 3372, + 3749, 1326, 1632, 3997, + 2031, 2102, 3163, 1756, 2527, 3056, 1669, 1949, 2053, 3160, 1753, 2399, 3057, 1718, 1946, 2991, + 1463, 3389, 3732, 1390, + 3116, 3668, 1971, 2962, 1748, 3908, 1670, 2005, 2054, 2965, 1745, 3914, 2002, 3177, 1126, 3278, + 3337, 1254, 1552, 3075, + 1420, 1615, 3559, 1368, 1613, 3542, 3171, 3943, 1717, 2504, 3001, 3157, 3907, 2378, 3043, 1118, + 2723, 4011, 1438, 3552, + 3729, 1790, 2428, 2050, 2968, 3194, 3070, 1228, 4017, 1446, 3286, 3335, 2063, 2382, 1936, 3918, + 2506, 3025, 1679, 2510, + 3066, 1666, 2008, 1371, 3565, 3665, 1246, 1336, 3994, 1271, 1296, 3081, 1143, 2709, 3331, 2041, + 2101, 2376, 1976, 3926, + 2497, 3007, 2047, 2369, 1381, 1555, 3076, 1100, 4016, 1768, 2556, 1979, 1412, 1734, 1818, 1452, + 1843, 2601, 1387, 2345, + 2477, 3440, 3524, 1220, 3435, 2323, 2462, 2884, 1386, 1728, 2331, 1092, 3634, 1810, 2587, 3460, + 3530, 3621, 1260, 2616, + 3442, 2487, 2924, 3632, 1132, 2440, 3627, 1760, 1841, 4026, 2606, 3429, 3500, 1761, 2350, 4030, + 1206, 2267, 2863, 1503, + 1625, 3027, 2629, 2781, 1157, 2264, 1628, 3044, 3231, 2212, 2678, 2778, 1393, 3412, 3517, 1462, + 2941, 3601, 2195, 2803, + 1617, 3910, 2630, 2837, 1158, 2192, 1620, 3906, 2281, 2834, 1141, 2446, 3465, 1269, 2576, 2889, + 1373, 1741, 3573, 1418, + 1743, 3574, 2275, 3957, 1480, 2210, 2677, 2261, 3919, 3042, 3210, 1119, 1827, 4009, 1370, 3409, + 3564, 1640, 3260, 1154, + 2205, 2298, 3037, 1226, 4004, 1392, 2454, 3463, 1167, 3214, 2768, 3909, 1482, 3024, 1486, 2639, + 3050, 2626, 2840, 1439, + 3551, 3604, 1247, 2360, 3993, 1270, 2320, 2883, 1142, 1813, 3459, 1205, 2873, 3208, 2808, 3958, + 1473, 2218, 2879, 3201, + 1461, 2579, 2887, 1098, 3987, 1532, 1662, 2811, 1860, 2437, 1338, 2434, 1594, 1851, 3448, 3520, + 1216, 3451, 1598, 1848, + 1930, 1571, 1863, 1094, 3707, 1315, 2252, 2438, 3521, 3704, 1249, 1328, 3443, 1838, 1951, 3674, + 1120, 1829, 3699, 1900, + 2486, 3887, 1329, 2270, 3418, 1585, 1917, 3858, 2079, 2862, 3499, 2155, 2550, 3824, 2684, 3135, + 2108, 3498, 2162, 3254, + 3825, 2655, 2990, 3122, 2285, 3421, 1980, 3677, 993, 2981, 3115, 2146, 3959, 1076, 2632, 2836, + 1012, 2056, 2964, 2169, + 3942, 1057, 2853, 3506, 1127, 1812, 2245, 1268, 1297, 1928, 1865, 3572, 1859, 3543, 3513, 3916, + 2502, 2634, 3000, 3490, + 3934, 1020, 3253, 3811, 1133, 2485, 3897, 3408, 3553, 2175, 3205, 2049, 2984, 1024, 3519, 1025, + 3838, 1217, 3864, 1832, + 2242, 983, 2062, 3215, 3129, 3965, 1084, 2549, 3793, 1047, 2511, 2638, 961, 3834, 2625, 2856, + 3580, 3664, 1276, 1584, + 3861, 1239, 1553, 1934, 1110, 2251, 2447, 2058, 2872, 3206, 3106, 3911, 2498, 3003, 2875, 3202, + 1342, 1921, 1090, 3903, + 2154, 2501, 960, 3114, 2119, 3269, 2362, 3266, 2618, 2747, 3527, 3768, 1222, 3771, 2622, 2744, + 2762, 2116, 2595, 1088 ] private def ClayworthSurface_edge_tgt_data_chunk5 : Array (Fin 4032) := #[ - 3642, 2339, 3148, 3270, 3532, 3619, 1248, 2352, 3763, 2734, 2783, 3611, 1121, 2725, 3625, 2173, 3318, 3886, 2353, 3166, - 3738, 2156, 2609, 3877, 1183, 2030, 3371, 1526, 1906, 3795, 1724, 2922, 1212, 3370, 1899, 2422, 3812, 1695, 2225, 2923, - 3181, 3741, 2812, 3608, 992, 2224, 2930, 1913, 3927, 1063, 1672, 2004, 999, 1160, 2193, 1890, 3956, 1056, 2021, 3378, - 1140, 2708, 3141, 1255, 2321, 2760, 2115, 3558, 2121, 3575, 3385, 3905, 1478, 1674, 2211, 3362, 3964, 1005, 2421, 3810, - 1148, 3317, 3896, 3581, 3728, 1898, 2373, 1153, 2238, 1030, 3391, 1026, 3805, 1218, 3880, 2728, 3138, 982, 1166, 2383, - 2914, 3937, 1069, 1525, 3792, 1046, 1487, 1678, 962, 3818, 1665, 2024, 3550, 3605, 1261, 2608, 3860, 1238, 2577, 2766, - 1111, 3147, 3279, 1162, 2040, 2374, 2937, 3904, 1474, 2234, 2043, 2370, 2366, 2753, 1089, 3899, 1477, 1919, 966, 2943, - 1088, 2074, 1587, 2099, 1203, 2611, 3761, 3776, 1732, 3738, 1170, 2586, 3084, 1094, 1178, 1607, 3418, 1562, 2066, 2890, - 3441, 3777, 1571, 1772, 3763, 2609, 3102, 3410, 1661, 2595, 3443, 1121, 2097, 3986, 1585, 2911, 3730, 1120, 1201, 4015, - 2276, 2742, 2970, 1241, 3045, 3230, 1797, 2200, 2693, 2973, 1244, 2398, 3054, 1846, 2203, 3172, 2940, 3733, 3117, 3413, - 2217, 3155, 1233, 3842, 1798, 2256, 2694, 3152, 1236, 3846, 2259, 2995, 1638, 2581, 2888, 1557, 1781, 3077, 1103, 3828, - 1101, 3799, 3000, 3894, 1845, 3170, 3205, 2960, 3845, 2380, 3064, 1630, 2083, 3989, 3747, 3809, 1256, 2413, 2690, 3165, - 3003, 3048, 1738, 4031, 2578, 2881, 2379, 2703, 2197, 3855, 3028, 3212, 1807, 3211, 3067, 1794, 2269, 3427, 3836, 1187, - 1759, 4025, 1173, 1782, 3083, 1655, 2069, 2894, 2274, 2373, 2741, 2211, 3893, 3178, 3202, 2282, 2370, 1554, 3074, 1612, - 3992, 1278, 3245, 2234, 1222, 2650, 2492, 2675, 1715, 3324, 3630, 3788, 1604, 3611, 1682, 3295, 3466, 1216, 1690, 1735, - 3674, 2463, 2642, 3338, 3697, 3783, 1644, 2437, 3625, 3318, 3487, 3666, 1789, 3269, 3699, 1248, 2673, 4014, 2486, 3359, - 3603, 1249, 1713, 4005, 1967, 2359, 2842, 1116, 2526, 3055, 1288, 2013, 2312, 2845, 1113, 1502, 3026, 1335, 2010, 2799, - 3388, 3600, 3516, 3669, 2035, 2770, 1108, 3844, 1280, 1941, 2304, 2773, 1105, 3850, 1938, 2867, 1766, 3275, 3336, 1653, - 2443, 3464, 1229, 3831, 1231, 3814, 2872, 3879, 1318, 2501, 2809, 2832, 3843, 1484, 3029, 1758, 2659, 4024, 3640, 3806, - 1150, 1517, 2305, 2776, 2875, 3071, 1610, 4008, 3287, 3329, 1483, 2317, 2000, 3854, 2508, 3065, 1293, 2507, 3032, 1281, - 1944, 3683, 3837, 1631, 1699, 3988, 1654, 1685, 3470, 1783, 2645, 3342, 1477, 1977, 2342, 2040, 3862, 2498, 2815, 1474, - 1983, 2455, 3457, 1740, 4027, 1128, 2541, 2043, 3163, 1532, 3177, 2281, 2556, 3504, 3846, 3499, 2259, 2527, 3591, 2267, - 3371, 1503, 3155, 3652, 3376, 3842, 1477, 3506, 2550, 3365, 3645, 2501, 3378, 3182, 4006, 1526, 3493, 3692, 2286, 4023, - 1199, 2714, 2998, 3046, 3294, 1821, 2184, 2717, 2949, 2462, 3063, 1818, 2095, 2231, 3476, 3709, 3348, 3628, 1843, 2066, - 3777, 1173, 2176, 2069, 2950, 3776, 1170, 2739, 2507, 3657, 1483, 3587, 3879, 3862, 2744, 3831, 2105, 2214, 3269, 2704 + 3642, 2339, 3148, 3270, 3532, 3619, 1248, 2352, 3763, 2734, 2783, 3611, 1121, 2725, 3625, 2173, + 3318, 3886, 2353, 3166, + 3738, 2156, 2609, 3877, 1183, 2030, 3371, 1526, 1906, 3795, 1724, 2922, 1212, 3370, 1899, 2422, + 3812, 1695, 2225, 2923, + 3181, 3741, 2812, 3608, 992, 2224, 2930, 1913, 3927, 1063, 1672, 2004, 999, 1160, 2193, 1890, + 3956, 1056, 2021, 3378, + 1140, 2708, 3141, 1255, 2321, 2760, 2115, 3558, 2121, 3575, 3385, 3905, 1478, 1674, 2211, 3362, + 3964, 1005, 2421, 3810, + 1148, 3317, 3896, 3581, 3728, 1898, 2373, 1153, 2238, 1030, 3391, 1026, 3805, 1218, 3880, 2728, + 3138, 982, 1166, 2383, + 2914, 3937, 1069, 1525, 3792, 1046, 1487, 1678, 962, 3818, 1665, 2024, 3550, 3605, 1261, 2608, + 3860, 1238, 2577, 2766, + 1111, 3147, 3279, 1162, 2040, 2374, 2937, 3904, 1474, 2234, 2043, 2370, 2366, 2753, 1089, 3899, + 1477, 1919, 966, 2943, + 1088, 2074, 1587, 2099, 1203, 2611, 3761, 3776, 1732, 3738, 1170, 2586, 3084, 1094, 1178, 1607, + 3418, 1562, 2066, 2890, + 3441, 3777, 1571, 1772, 3763, 2609, 3102, 3410, 1661, 2595, 3443, 1121, 2097, 3986, 1585, 2911, + 3730, 1120, 1201, 4015, + 2276, 2742, 2970, 1241, 3045, 3230, 1797, 2200, 2693, 2973, 1244, 2398, 3054, 1846, 2203, 3172, + 2940, 3733, 3117, 3413, + 2217, 3155, 1233, 3842, 1798, 2256, 2694, 3152, 1236, 3846, 2259, 2995, 1638, 2581, 2888, 1557, + 1781, 3077, 1103, 3828, + 1101, 3799, 3000, 3894, 1845, 3170, 3205, 2960, 3845, 2380, 3064, 1630, 2083, 3989, 3747, 3809, + 1256, 2413, 2690, 3165, + 3003, 3048, 1738, 4031, 2578, 2881, 2379, 2703, 2197, 3855, 3028, 3212, 1807, 3211, 3067, 1794, + 2269, 3427, 3836, 1187, + 1759, 4025, 1173, 1782, 3083, 1655, 2069, 2894, 2274, 2373, 2741, 2211, 3893, 3178, 3202, 2282, + 2370, 1554, 3074, 1612, + 3992, 1278, 3245, 2234, 1222, 2650, 2492, 2675, 1715, 3324, 3630, 3788, 1604, 3611, 1682, 3295, + 3466, 1216, 1690, 1735, + 3674, 2463, 2642, 3338, 3697, 3783, 1644, 2437, 3625, 3318, 3487, 3666, 1789, 3269, 3699, 1248, + 2673, 4014, 2486, 3359, + 3603, 1249, 1713, 4005, 1967, 2359, 2842, 1116, 2526, 3055, 1288, 2013, 2312, 2845, 1113, 1502, + 3026, 1335, 2010, 2799, + 3388, 3600, 3516, 3669, 2035, 2770, 1108, 3844, 1280, 1941, 2304, 2773, 1105, 3850, 1938, 2867, + 1766, 3275, 3336, 1653, + 2443, 3464, 1229, 3831, 1231, 3814, 2872, 3879, 1318, 2501, 2809, 2832, 3843, 1484, 3029, 1758, + 2659, 4024, 3640, 3806, + 1150, 1517, 2305, 2776, 2875, 3071, 1610, 4008, 3287, 3329, 1483, 2317, 2000, 3854, 2508, 3065, + 1293, 2507, 3032, 1281, + 1944, 3683, 3837, 1631, 1699, 3988, 1654, 1685, 3470, 1783, 2645, 3342, 1477, 1977, 2342, 2040, + 3862, 2498, 2815, 1474, + 1983, 2455, 3457, 1740, 4027, 1128, 2541, 2043, 3163, 1532, 3177, 2281, 2556, 3504, 3846, 3499, + 2259, 2527, 3591, 2267, + 3371, 1503, 3155, 3652, 3376, 3842, 1477, 3506, 2550, 3365, 3645, 2501, 3378, 3182, 4006, 1526, + 3493, 3692, 2286, 4023, + 1199, 2714, 2998, 3046, 3294, 1821, 2184, 2717, 2949, 2462, 3063, 1818, 2095, 2231, 3476, 3709, + 3348, 3628, 1843, 2066, + 3777, 1173, 2176, 2069, 2950, 3776, 1170, 2739, 2507, 3657, 1483, 3587, 3879, 3862, 2744, 3831, + 2105, 2214, 3269, 2704 ] private def ClayworthSurface_edge_tgt_data_chunk6 : Array (Fin 4032) := #[ - 3784, 2444, 3016, 3192, 3981, 3473, 3872, 2477, 2072, 2946, 2747, 3008, 3969, 2519, 3655, 2443, 2959, 1808, 3789, 3021, - 3276, 2189, 3275, 3009, 1176, 2177, 3345, 3885, 2296, 3976, 2256, 3593, 3152, 3651, 1209, 2437, 2997, 1848, 3814, 2111, - 3266, 1215, 2434, 1495, 3588, 3968, 3309, 1851, 2246, 2431, 2715, 2418, 2729, 2493, 3251, 3078, 3886, 2183, 3867, 3226, - 3527, 2240, 2439, 1927, 3673, 2707, 3330, 3074, 3684, 2237, 3881, 3249, 3581, 3695, 1981, 3235, 3676, 2272, 2734, 3995, - 3373, 3859, 2273, 3992, 1775, 2358, 2843, 2012, 2160, 2591, 2309, 2840, 1375, 2009, 2161, 2980, 2487, 3358, 3856, 2414, - 3564, 3705, 2963, 2004, 3588, 1749, 2310, 2960, 2001, 3594, 1746, 2857, 1958, 3221, 3339, 2214, 3523, 2253, 2444, 3111, - 2255, 2392, 3094, 2851, 3623, 2568, 2978, 2837, 3587, 1354, 2147, 1950, 2744, 4009, 2462, 3104, 3896, 1404, 2046, 2306, - 2973, 2874, 2174, 2188, 4003, 2470, 3218, 3340, 1358, 2319, 3598, 2129, 2570, 2574, 2170, 1752, 2395, 3117, 3682, 2206, - 3989, 2231, 3529, 1975, 2704, 3333, 1352, 1785, 2357, 3606, 2561, 2986, 1345, 1791, 2405, 3524, 1932, 4026, 2024, 2620, - 1946, 1971, 3260, 2428, 2803, 2928, 3844, 2923, 2399, 2770, 3396, 2778, 3122, 1938, 3231, 3716, 3109, 3850, 2930, 3205, - 2422, 3120, 3436, 2373, 3115, 1969, 3991, 2917, 3254, 3756, 2801, 4020, 1307, 2038, 2671, 1563, 3031, 2328, 2821, 1304, - 1989, 2587, 3060, 1711, 2331, 2870, 2900, 3773, 3089, 3453, 1682, 2345, 3788, 2645, 2822, 1685, 1990, 3783, 1321, 2642, - 2379, 3721, 3211, 3401, 3893, 3894, 1315, 3799, 1571, 1721, 2869, 1301, 3787, 2584, 3017, 1955, 3979, 2897, 3884, 2601, - 1688, 1986, 1338, 3020, 3975, 2391, 3719, 1999, 2581, 2325, 3785, 1560, 3019, 1557, 2831, 3015, 2648, 2818, 3092, 3871, - 2787, 3977, 2773, 3395, 1941, 3715, 2037, 2595, 2681, 2339, 3828, 1594, 1727, 2618, 2687, 3223, 3399, 3980, 1577, 2362, - 1990, 2436, 2476, 2537, 1453, 2089, 2411, 3076, 3411, 2180, 3433, 1438, 2067, 2886, 1984, 2075, 2410, 1924, 3954, 2523, - 3780, 3082, 3941, 2220, 2552, 3419, 1463, 2912, 3952, 1416, 1964, 3947, 2016, 4016, 2542, 3438, 3820, 2017, 2094, 3985, - 1626, 3183, 2131, 2268, 2632, 2776, 1629, 2148, 2265, 3291, 2679, 2779, 2417, 3448, 3837, 2486, 2913, 3921, 2793, 2260, - 3590, 2624, 3157, 2257, 3586, 1651, 3154, 1422, 1973, 3785, 2229, 2512, 2893, 1997, 2397, 3125, 1999, 2442, 3126, 1656, - 3637, 2662, 1616, 3599, 2146, 3288, 1951, 4011, 2394, 3116, 3408, 2302, 3305, 1659, 2141, 2186, 4005, 1430, 2416, 3783, - 3285, 2773, 3589, 2128, 2637, 2154, 2625, 3160, 2463, 3103, 3924, 2104, 2207, 3988, 2064, 2230, 2895, 1974, 3779, 3193, - 3299, 2787, 3638, 3199, 3322, 2485, 2515, 2880, 1930, 4018, 2280, 2810, 1856, 2440, 2433, 1595, 1723, 3705, 3782, 1734, - 3711, 1576, 1720, 2188, 1592, 1862, 1606, 3455, 1994, 2432, 3449, 3778, 1760, 3698, 1710, 2206, 3435, 1632, 1701, 3442, - 1889, 2487, 3922, 2015, 3691, 1582, 1888, 3951, 2719, 2798, 3482, 2137, 3255, 3557, 2349, 3096, 2748, 3485, 2140, 2551, - 3566, 2334, 3099, 3185, 2044, 3690, 2221, 3434, 3113, 3184, 2129, 3878, 2309, 2772, 2696, 3153, 2132, 3895, 2789, 3507 + 3784, 2444, 3016, 3192, 3981, 3473, 3872, 2477, 2072, 2946, 2747, 3008, 3969, 2519, 3655, 2443, + 2959, 1808, 3789, 3021, + 3276, 2189, 3275, 3009, 1176, 2177, 3345, 3885, 2296, 3976, 2256, 3593, 3152, 3651, 1209, 2437, + 2997, 1848, 3814, 2111, + 3266, 1215, 2434, 1495, 3588, 3968, 3309, 1851, 2246, 2431, 2715, 2418, 2729, 2493, 3251, 3078, + 3886, 2183, 3867, 3226, + 3527, 2240, 2439, 1927, 3673, 2707, 3330, 3074, 3684, 2237, 3881, 3249, 3581, 3695, 1981, 3235, + 3676, 2272, 2734, 3995, + 3373, 3859, 2273, 3992, 1775, 2358, 2843, 2012, 2160, 2591, 2309, 2840, 1375, 2009, 2161, 2980, + 2487, 3358, 3856, 2414, + 3564, 3705, 2963, 2004, 3588, 1749, 2310, 2960, 2001, 3594, 1746, 2857, 1958, 3221, 3339, 2214, + 3523, 2253, 2444, 3111, + 2255, 2392, 3094, 2851, 3623, 2568, 2978, 2837, 3587, 1354, 2147, 1950, 2744, 4009, 2462, 3104, + 3896, 1404, 2046, 2306, + 2973, 2874, 2174, 2188, 4003, 2470, 3218, 3340, 1358, 2319, 3598, 2129, 2570, 2574, 2170, 1752, + 2395, 3117, 3682, 2206, + 3989, 2231, 3529, 1975, 2704, 3333, 1352, 1785, 2357, 3606, 2561, 2986, 1345, 1791, 2405, 3524, + 1932, 4026, 2024, 2620, + 1946, 1971, 3260, 2428, 2803, 2928, 3844, 2923, 2399, 2770, 3396, 2778, 3122, 1938, 3231, 3716, + 3109, 3850, 2930, 3205, + 2422, 3120, 3436, 2373, 3115, 1969, 3991, 2917, 3254, 3756, 2801, 4020, 1307, 2038, 2671, 1563, + 3031, 2328, 2821, 1304, + 1989, 2587, 3060, 1711, 2331, 2870, 2900, 3773, 3089, 3453, 1682, 2345, 3788, 2645, 2822, 1685, + 1990, 3783, 1321, 2642, + 2379, 3721, 3211, 3401, 3893, 3894, 1315, 3799, 1571, 1721, 2869, 1301, 3787, 2584, 3017, 1955, + 3979, 2897, 3884, 2601, + 1688, 1986, 1338, 3020, 3975, 2391, 3719, 1999, 2581, 2325, 3785, 1560, 3019, 1557, 2831, 3015, + 2648, 2818, 3092, 3871, + 2787, 3977, 2773, 3395, 1941, 3715, 2037, 2595, 2681, 2339, 3828, 1594, 1727, 2618, 2687, 3223, + 3399, 3980, 1577, 2362, + 1990, 2436, 2476, 2537, 1453, 2089, 2411, 3076, 3411, 2180, 3433, 1438, 2067, 2886, 1984, 2075, + 2410, 1924, 3954, 2523, + 3780, 3082, 3941, 2220, 2552, 3419, 1463, 2912, 3952, 1416, 1964, 3947, 2016, 4016, 2542, 3438, + 3820, 2017, 2094, 3985, + 1626, 3183, 2131, 2268, 2632, 2776, 1629, 2148, 2265, 3291, 2679, 2779, 2417, 3448, 3837, 2486, + 2913, 3921, 2793, 2260, + 3590, 2624, 3157, 2257, 3586, 1651, 3154, 1422, 1973, 3785, 2229, 2512, 2893, 1997, 2397, 3125, + 1999, 2442, 3126, 1656, + 3637, 2662, 1616, 3599, 2146, 3288, 1951, 4011, 2394, 3116, 3408, 2302, 3305, 1659, 2141, 2186, + 4005, 1430, 2416, 3783, + 3285, 2773, 3589, 2128, 2637, 2154, 2625, 3160, 2463, 3103, 3924, 2104, 2207, 3988, 2064, 2230, + 2895, 1974, 3779, 3193, + 3299, 2787, 3638, 3199, 3322, 2485, 2515, 2880, 1930, 4018, 2280, 2810, 1856, 2440, 2433, 1595, + 1723, 3705, 3782, 1734, + 3711, 1576, 1720, 2188, 1592, 1862, 1606, 3455, 1994, 2432, 3449, 3778, 1760, 3698, 1710, 2206, + 3435, 1632, 1701, 3442, + 1889, 2487, 3922, 2015, 3691, 1582, 1888, 3951, 2719, 2798, 3482, 2137, 3255, 3557, 2349, 3096, + 2748, 3485, 2140, 2551, + 3566, 2334, 3099, 3185, 2044, 3690, 2221, 3434, 3113, 3184, 2129, 3878, 2309, 2772, 2696, 3153, + 2132, 3895, 2789, 3507 ] private def ClayworthSurface_edge_tgt_data_chunk7 : Array (Fin 4032) := #[ - 1639, 1684, 1992, 1767, 2181, 1871, 3815, 1869, 3798, 3512, 3847, 2316, 3171, 3200, 3472, 3901, 2534, 3576, 1645, 2470, - 3925, 3682, 3808, 2152, 2504, 2689, 3198, 3515, 3560, 1730, 3967, 1704, 1985, 2509, 2702, 3093, 3870, 3238, 3540, 2315, - 3213, 3579, 2306, 2792, 3426, 3821, 1573, 1773, 3961, 1556, 1750, 2187, 1622, 1998, 2445, 2496, 2698, 2808, 3107, 3852, - 3194, 3201, 2497, 2811, 2178, 1602, 3928, 2174, 3208, 3130, 1896, 2376, 2298, 2369, 1473, 1979, 2936, 3840, 2939, 1472, - 1802, 1976, 1480, 1918, 3387, 2275, 2368, 3384, 3841, 2288, 2931, 1823, 1966, 3354, 1957, 3379, 1884, 2423, 3567, 2289, - 2906, 1527, 1881, 3538, 2670, 2975, 3755, 2144, 3319, 3950, 2876, 3647, 3004, 3754, 2145, 2606, 3941, 2094, 2847, 3634, - 2909, 1852, 3357, 1633, 2085, 3627, 2127, 3829, 1780, 2644, 2824, 1652, 2068, 2952, 2125, 3830, 1761, 2661, 3762, 1940, - 1800, 2257, 1873, 3892, 1876, 3863, 3769, 3780, 2104, 2826, 3264, 3746, 3820, 1660, 2597, 3924, 2406, 3577, 2896, 3873, - 2112, 2616, 2088, 2945, 1728, 3775, 1729, 3963, 3544, 1960, 1623, 2580, 2958, 3641, 3807, 1788, 3302, 3960, 1751, 2830, - 3277, 1601, 3944, 2664, 2817, 3344, 3900, 1510, 3541, 1485, 1806, 2381, 2600, 2680, 2954, 3618, 3786, 2107, 3265, 2619, - 2683, 1793, 2302, 3583, 2118, 3272, 1600, 3626, 1866, 3072, 3412, 2176, 3432, 1857, 1926, 3672, 1610, 3073, 3669, 2209, - 3420, 3689, 1952, 3675, 1887, 3731, 1631, 3417, 1916, 3748, 2335, 3182, 3819, 2614, 3051, 3504, 2669, 3583, 2364, 3818, - 3058, 3310, 3505, 2654, 2993, 3570, 1660, 3454, 3706, 1697, 2992, 3563, 3042, 3639, 1844, 2629, 3156, 1716, 2312, 2961, - 3065, 3622, 1825, 3173, 3826, 1608, 1959, 2228, 1864, 3124, 1870, 3095, 3596, 3833, 2566, 2636, 2979, 3614, 3810, 1724, - 3301, 3491, 1965, 3728, 3105, 3409, 3071, 3320, 2305, 3006, 1792, 3839, 1793, 3518, 2177, 3754, 1601, 1687, 2318, 3284, - 3577, 3645, 1852, 2613, 3473, 1815, 2575, 2635, 1665, 3514, 2626, 3176, 3132, 3683, 2236, 3746, 2199, 1614, 1942, 2314, - 3192, 3304, 3554, 3591, 2562, 3002, 3195, 3323, 1922, 3741, 2565, 3050, 1664, 3562, 3015, 3256, 2106, 3259, 2554, 2746, - 3079, 3874, 2182, 3882, 2558, 2723, 2764, 2531, 3012, 1920, 3962, 2083, 2828, 3240, 3084, 3939, 2096, 2208, 3883, 2737, - 2782, 3931, 1953, 2736, 3945, 3069, 3246, 3760, 2097, 2846, 3890, 2545, 3052, 3761, 1774, 3369, 1907, 3475, 2942, 3386, - 1882, 3492, 2905, 2861, 3903, 2797, 3928, 1696, 2908, 1912, 3607, 1748, 1831, 1703, 1872, 3636, 1765, 1824, 3355, 1972, - 2705, 2821, 2065, 2215, 2757, 3011, 3110, 3017, 3127, 3349, 3585, 3363, 3644, 1709, 3490, 1980, 3237, 3729, 3133, 3897, - 1885, 1798, 3352, 1794, 3485, 2178, 3770, 2750, 2818, 1686, 2897, 3617, 1837, 3472, 1814, 1666, 3498, 1768, 3102, 3925, - 2221, 2544, 3747, 2198, 2513, 2763, 1943, 2827, 3220, 1784, 2900, 3584, 1787, 2110, 2754, 1921, 3774, 1915, 1670, 2920, - 2970, 2995, 2035, 3245, 3505, 3914, 3482, 2002, 3230, 3596, 2010, 2906, 2962, 3402, 2929, 3908, 3507, 2898, 3255, 3614, - 2931, 3208, 2993, 3978, 3423, 3474, 2033, 3972, 2074, 3191, 2586, 3061, 1693, 1925, 2077, 3144, 2463, 3062, 1690, 1974 + 1639, 1684, 1992, 1767, 2181, 1871, 3815, 1869, 3798, 3512, 3847, 2316, 3171, 3200, 3472, 3901, + 2534, 3576, 1645, 2470, + 3925, 3682, 3808, 2152, 2504, 2689, 3198, 3515, 3560, 1730, 3967, 1704, 1985, 2509, 2702, 3093, + 3870, 3238, 3540, 2315, + 3213, 3579, 2306, 2792, 3426, 3821, 1573, 1773, 3961, 1556, 1750, 2187, 1622, 1998, 2445, 2496, + 2698, 2808, 3107, 3852, + 3194, 3201, 2497, 2811, 2178, 1602, 3928, 2174, 3208, 3130, 1896, 2376, 2298, 2369, 1473, 1979, + 2936, 3840, 2939, 1472, + 1802, 1976, 1480, 1918, 3387, 2275, 2368, 3384, 3841, 2288, 2931, 1823, 1966, 3354, 1957, 3379, + 1884, 2423, 3567, 2289, + 2906, 1527, 1881, 3538, 2670, 2975, 3755, 2144, 3319, 3950, 2876, 3647, 3004, 3754, 2145, 2606, + 3941, 2094, 2847, 3634, + 2909, 1852, 3357, 1633, 2085, 3627, 2127, 3829, 1780, 2644, 2824, 1652, 2068, 2952, 2125, 3830, + 1761, 2661, 3762, 1940, + 1800, 2257, 1873, 3892, 1876, 3863, 3769, 3780, 2104, 2826, 3264, 3746, 3820, 1660, 2597, 3924, + 2406, 3577, 2896, 3873, + 2112, 2616, 2088, 2945, 1728, 3775, 1729, 3963, 3544, 1960, 1623, 2580, 2958, 3641, 3807, 1788, + 3302, 3960, 1751, 2830, + 3277, 1601, 3944, 2664, 2817, 3344, 3900, 1510, 3541, 1485, 1806, 2381, 2600, 2680, 2954, 3618, + 3786, 2107, 3265, 2619, + 2683, 1793, 2302, 3583, 2118, 3272, 1600, 3626, 1866, 3072, 3412, 2176, 3432, 1857, 1926, 3672, + 1610, 3073, 3669, 2209, + 3420, 3689, 1952, 3675, 1887, 3731, 1631, 3417, 1916, 3748, 2335, 3182, 3819, 2614, 3051, 3504, + 2669, 3583, 2364, 3818, + 3058, 3310, 3505, 2654, 2993, 3570, 1660, 3454, 3706, 1697, 2992, 3563, 3042, 3639, 1844, 2629, + 3156, 1716, 2312, 2961, + 3065, 3622, 1825, 3173, 3826, 1608, 1959, 2228, 1864, 3124, 1870, 3095, 3596, 3833, 2566, 2636, + 2979, 3614, 3810, 1724, + 3301, 3491, 1965, 3728, 3105, 3409, 3071, 3320, 2305, 3006, 1792, 3839, 1793, 3518, 2177, 3754, + 1601, 1687, 2318, 3284, + 3577, 3645, 1852, 2613, 3473, 1815, 2575, 2635, 1665, 3514, 2626, 3176, 3132, 3683, 2236, 3746, + 2199, 1614, 1942, 2314, + 3192, 3304, 3554, 3591, 2562, 3002, 3195, 3323, 1922, 3741, 2565, 3050, 1664, 3562, 3015, 3256, + 2106, 3259, 2554, 2746, + 3079, 3874, 2182, 3882, 2558, 2723, 2764, 2531, 3012, 1920, 3962, 2083, 2828, 3240, 3084, 3939, + 2096, 2208, 3883, 2737, + 2782, 3931, 1953, 2736, 3945, 3069, 3246, 3760, 2097, 2846, 3890, 2545, 3052, 3761, 1774, 3369, + 1907, 3475, 2942, 3386, + 1882, 3492, 2905, 2861, 3903, 2797, 3928, 1696, 2908, 1912, 3607, 1748, 1831, 1703, 1872, 3636, + 1765, 1824, 3355, 1972, + 2705, 2821, 2065, 2215, 2757, 3011, 3110, 3017, 3127, 3349, 3585, 3363, 3644, 1709, 3490, 1980, + 3237, 3729, 3133, 3897, + 1885, 1798, 3352, 1794, 3485, 2178, 3770, 2750, 2818, 1686, 2897, 3617, 1837, 3472, 1814, 1666, + 3498, 1768, 3102, 3925, + 2221, 2544, 3747, 2198, 2513, 2763, 1943, 2827, 3220, 1784, 2900, 3584, 1787, 2110, 2754, 1921, + 3774, 1915, 1670, 2920, + 2970, 2995, 2035, 3245, 3505, 3914, 3482, 2002, 3230, 3596, 2010, 2906, 2962, 3402, 2929, 3908, + 3507, 2898, 3255, 3614, + 2931, 3208, 2993, 3978, 3423, 3474, 2033, 3972, 2074, 3191, 2586, 3061, 1693, 1925, 2077, 3144, + 2463, 3062, 1690, 1974 ] private def ClayworthSurface_edge_tgt_data_chunk8 : Array (Fin 4032) := #[ - 2735, 3452, 3477, 2901, 3629, 1715, 2706, 3522, 1926, 2709, 3136, 3526, 2099, 3214, 3400, 3589, 3958, 3957, 2104, 3574, - 1973, 2616, 2745, 2064, 3525, 2442, 3013, 2979, 3999, 3491, 3935, 2492, 2712, 3137, 2107, 3014, 4021, 3222, 3393, 2446, - 3149, 1680, 3535, 2589, 3023, 1935, 2576, 3010, 1922, 2915, 3948, 2019, 4012, 2005, 3595, 2965, 3406, 2440, 3174, 1720, - 3573, 2619, 2751, 2433, 3586, 4022, 2611, 1723, 1920, 2330, 2355, 2547, 3456, 3877, 1988, 3890, 2522, 3532, 1926, 2244, - 3417, 2322, 2882, 3428, 3457, 2028, 3883, 2545, 3439, 3550, 2284, 2531, 3420, 1953, 2353, 4019, 2925, 3888, 1952, 4027, - 2743, 2971, 2149, 2201, 3290, 2696, 2968, 2158, 2204, 2852, 2910, 3857, 3449, 3565, 2835, 2193, 3719, 2688, 2832, 2196, - 3724, 2985, 2293, 2517, 2891, 2037, 3525, 1935, 3508, 1933, 3479, 2979, 3764, 2850, 3320, 2965, 3721, 2168, 2271, 2339, - 3994, 3489, 3860, 2216, 2689, 2845, 3002, 2152, 1994, 3984, 2514, 2892, 2701, 3723, 2132, 3293, 3280, 2171, 3426, 3516, - 2015, 4024, 2038, 3531, 2294, 2325, 2885, 2726, 3735, 2858, 3323, 3522, 2250, 3997, 2238, 3315, 2842, 2413, 2867, 2217, - 2541, 3118, 3910, 3099, 2195, 2526, 3722, 2203, 3354, 2398, 2834, 3658, 3377, 3906, 2376, 3113, 2551, 3346, 3743, 2504, - 3379, 2865, 3970, 2423, 3091, 3679, 2222, 3974, 1839, 2650, 2806, 3047, 3295, 2248, 2653, 2757, 3030, 2295, 2340, 3088, - 3708, 3349, 3772, 2323, 3524, 1813, 2240, 2320, 2758, 3530, 1810, 2675, 2510, 3656, 2382, 3720, 3943, 3926, 2680, 3559, - 2278, 2338, 3272, 2640, 3523, 3022, 2851, 4013, 3128, 3936, 2333, 2754, 2683, 3012, 4007, 2518, 3649, 2767, 3534, 3011, - 3274, 2253, 3278, 3018, 1816, 2241, 3363, 3949, 2232, 4000, 2192, 3726, 2837, 3662, 1849, 2805, 3542, 2346, 3265, 1855, - 2390, 3713, 3990, 3324, 2182, 2651, 2665, 3241, 3468, 3950, 2247, 3931, 3227, 3786, 2176, 1991, 3689, 2643, 3334, 3463, - 3667, 2301, 3945, 3246, 3694, 3807, 2045, 3256, 3675, 2208, 2670, 4002, 3360, 3923, 2209, 4004, 2103, 3162, 1948, 2159, - 2590, 2056, 3165, 1945, 2130, 2788, 3361, 3920, 3704, 3836, 2771, 1940, 3713, 2048, 2768, 1937, 3712, 3187, 2022, 3216, - 3341, 2278, 3784, 2189, 3511, 2191, 3494, 3192, 3767, 2565, 2786, 3152, 3720, 2133, 2014, 2680, 4025, 3486, 3960, 1982, - 2049, 2781, 3195, 2175, 2252, 3996, 3219, 3328, 2061, 3725, 2169, 2572, 2571, 2136, 3517, 3664, 2270, 3993, 2295, 3790, - 2039, 2640, 3343, 2086, 3750, 2562, 2794, 3777, 1996, 4015, 1960, 2605, 3186, 3179, 2374, 2802, 2992, 3895, 2987, 2400, - 2789, 3639, 2795, 2859, 3184, 3766, 2864, 3878, 2994, 2401, 2853, 3622, 2368, 2866, 3173, 3942, 2981, 3765, 2800, 3959, - 2725, 3510, 2672, 3558, 2321, 3080, 2708, 3461, 2096, 3575, 2352, 2465, 3127, 2964, 3727, 2836, 3597, 2347, 2432, 3778, - 3072, 2445, 3462, 3782, 2738, 2381, 3714, 3585, 3841, 3840, 2736, 3830, 2464, 2661, 3110, 2705, 3781, 2065, 3528, 3156, - 3917, 2961, 3848, 2091, 2447, 3458, 2731, 3520, 3905, 2383, 3718, 2068, 3471, 2324, 3791, 2641, 3533, 2644, 3085, 3521, - 3073, 2833, 3853, 2769, 3912, 2772, 3592, 3153, 3717, 2085, 3509, 2341, 3829, 2438, 2674, 2098, 3584, 3904, 2667, 2354 + 2735, 3452, 3477, 2901, 3629, 1715, 2706, 3522, 1926, 2709, 3136, 3526, 2099, 3214, 3400, 3589, + 3958, 3957, 2104, 3574, + 1973, 2616, 2745, 2064, 3525, 2442, 3013, 2979, 3999, 3491, 3935, 2492, 2712, 3137, 2107, 3014, + 4021, 3222, 3393, 2446, + 3149, 1680, 3535, 2589, 3023, 1935, 2576, 3010, 1922, 2915, 3948, 2019, 4012, 2005, 3595, 2965, + 3406, 2440, 3174, 1720, + 3573, 2619, 2751, 2433, 3586, 4022, 2611, 1723, 1920, 2330, 2355, 2547, 3456, 3877, 1988, 3890, + 2522, 3532, 1926, 2244, + 3417, 2322, 2882, 3428, 3457, 2028, 3883, 2545, 3439, 3550, 2284, 2531, 3420, 1953, 2353, 4019, + 2925, 3888, 1952, 4027, + 2743, 2971, 2149, 2201, 3290, 2696, 2968, 2158, 2204, 2852, 2910, 3857, 3449, 3565, 2835, 2193, + 3719, 2688, 2832, 2196, + 3724, 2985, 2293, 2517, 2891, 2037, 3525, 1935, 3508, 1933, 3479, 2979, 3764, 2850, 3320, 2965, + 3721, 2168, 2271, 2339, + 3994, 3489, 3860, 2216, 2689, 2845, 3002, 2152, 1994, 3984, 2514, 2892, 2701, 3723, 2132, 3293, + 3280, 2171, 3426, 3516, + 2015, 4024, 2038, 3531, 2294, 2325, 2885, 2726, 3735, 2858, 3323, 3522, 2250, 3997, 2238, 3315, + 2842, 2413, 2867, 2217, + 2541, 3118, 3910, 3099, 2195, 2526, 3722, 2203, 3354, 2398, 2834, 3658, 3377, 3906, 2376, 3113, + 2551, 3346, 3743, 2504, + 3379, 2865, 3970, 2423, 3091, 3679, 2222, 3974, 1839, 2650, 2806, 3047, 3295, 2248, 2653, 2757, + 3030, 2295, 2340, 3088, + 3708, 3349, 3772, 2323, 3524, 1813, 2240, 2320, 2758, 3530, 1810, 2675, 2510, 3656, 2382, 3720, + 3943, 3926, 2680, 3559, + 2278, 2338, 3272, 2640, 3523, 3022, 2851, 4013, 3128, 3936, 2333, 2754, 2683, 3012, 4007, 2518, + 3649, 2767, 3534, 3011, + 3274, 2253, 3278, 3018, 1816, 2241, 3363, 3949, 2232, 4000, 2192, 3726, 2837, 3662, 1849, 2805, + 3542, 2346, 3265, 1855, + 2390, 3713, 3990, 3324, 2182, 2651, 2665, 3241, 3468, 3950, 2247, 3931, 3227, 3786, 2176, 1991, + 3689, 2643, 3334, 3463, + 3667, 2301, 3945, 3246, 3694, 3807, 2045, 3256, 3675, 2208, 2670, 4002, 3360, 3923, 2209, 4004, + 2103, 3162, 1948, 2159, + 2590, 2056, 3165, 1945, 2130, 2788, 3361, 3920, 3704, 3836, 2771, 1940, 3713, 2048, 2768, 1937, + 3712, 3187, 2022, 3216, + 3341, 2278, 3784, 2189, 3511, 2191, 3494, 3192, 3767, 2565, 2786, 3152, 3720, 2133, 2014, 2680, + 4025, 3486, 3960, 1982, + 2049, 2781, 3195, 2175, 2252, 3996, 3219, 3328, 2061, 3725, 2169, 2572, 2571, 2136, 3517, 3664, + 2270, 3993, 2295, 3790, + 2039, 2640, 3343, 2086, 3750, 2562, 2794, 3777, 1996, 4015, 1960, 2605, 3186, 3179, 2374, 2802, + 2992, 3895, 2987, 2400, + 2789, 3639, 2795, 2859, 3184, 3766, 2864, 3878, 2994, 2401, 2853, 3622, 2368, 2866, 3173, 3942, + 2981, 3765, 2800, 3959, + 2725, 3510, 2672, 3558, 2321, 3080, 2708, 3461, 2096, 3575, 2352, 2465, 3127, 2964, 3727, 2836, + 3597, 2347, 2432, 3778, + 3072, 2445, 3462, 3782, 2738, 2381, 3714, 3585, 3841, 3840, 2736, 3830, 2464, 2661, 3110, 2705, + 3781, 2065, 3528, 3156, + 3917, 2961, 3848, 2091, 2447, 3458, 2731, 3520, 3905, 2383, 3718, 2068, 3471, 2324, 3791, 2641, + 3533, 2644, 3085, 3521, + 3073, 2833, 3853, 2769, 3912, 2772, 3592, 3153, 3717, 2085, 3509, 2341, 3829, 2438, 2674, 2098, + 3584, 3904, 2667, 2354 ] private def ClayworthSurface_edge_tgt_data_chunk9 : Array (Fin 4032) := #[ - 2843, 2857, 2620, 3724, 3824, 3819, 2591, 3911, 3369, 2835, 3654, 3347, 3719, 3826, 2614, 3374, 3965, 2565, 3355, 2862, - 4029, 3680, 3813, 3975, 2715, 2999, 2150, 3226, 2712, 2952, 2167, 2351, 3681, 3796, 3384, 3948, 2322, 3457, 2325, 2944, - 3456, 2729, 2571, 3661, 3907, 3767, 3750, 2723, 3511, 2361, 3256, 2709, 3464, 2120, 2872, 4012, 3742, 3793, 2328, 2945, - 2746, 2112, 3971, 2583, 3648, 2957, 3469, 2125, 3229, 3216, 2113, 3344, 3773, 3977, 3913, 2832, 3663, 2982, 3494, 2367, - 3259, 3908, 3972, 3251, 2474, 3162, 2475, 3187, 2412, 2605, 3566, 3590, 3547, 2590, 3847, 2372, 3353, 3154, 3650, 3364, - 3586, 3561, 2615, 3375, 3901, 2568, 3356, 3185, 3973, 3539, 3693, 4022, 2651, 2807, 2151, 3227, 2648, 2760, 2134, 2084, - 2422, 3536, 3678, 2481, 3385, 3884, 2067, 3076, 2064, 2752, 3082, 2665, 2574, 3659, 3843, 2378, 3623, 2461, 3606, 2659, - 3111, 2082, 3235, 2645, 3075, 2126, 3171, 3979, 2399, 3576, 3616, 2077, 2753, 2682, 2116, 4028, 2421, 2582, 3660, 2765, - 3086, 2115, 3224, 3221, 2122, 2458, 3362, 3629, 3999, 3849, 3157, 3653, 2790, 3094, 2090, 3258, 2480, 3844, 3991, 3241, - 3142, 3263, 3250, 2419, 3325, 2880, 3887, 2948, 3868, 2394, 3520, 3136, 3271, 2759, 3612, 3458, 2881, 3631, 2988, 3865, - 2417, 3553, 3620, 2403, 2813, 3609, 3168, 4018, 3501, 3876, 3169, 4031, 2844, 2841, 2223, 3319, 3486, 3874, 3246, 3552, - 3618, 2194, 2836, 3655, 2197, 2833, 3660, 2389, 2790, 3467, 2997, 3535, 2932, 3149, 3276, 2903, 3151, 3224, 3700, 2233, - 3657, 2782, 4011, 2913, 3294, 3897, 2878, 2200, 2954, 4002, 2386, 3302, 3468, 3659, 2940, 3227, 3641, 2975, 4025, 2998, - 3533, 2807, 3461, 3671, 2239, 3237, 3526, 2764, 4010, 2856, 3206, 2283, 2502, 3863, 2288, 2528, 3446, 2290, 2226, 3232, - 3702, 2213, 3892, 3200, 2224, 2529, 3445, 2219, 2496, 3927, 3233, 3701, 2277, 3956, 2934, 3297, 3543, 3333, 2885, 3572, - 2588, 3382, 3663, 2193, 3407, 2600, 3786, 3277, 3334, 2580, 2886, 3780, 3264, 2509, 3650, 3213, 3394, 3852, 3847, 3798, - 2585, 3381, 3790, 3529, 3915, 3851, 2577, 2882, 3532, 3911, 2511, 3654, 2895, 3779, 3531, 3343, 3527, 3279, 3330, 2196, - 3849, 2260, 3913, 2257, 3397, 3653, 2933, 3296, 3815, 2622, 3270, 3215, 3398, 3916, 3305, 2793, 2916, 3713, 2905, 2771, - 3394, 2779, 3570, 3291, 3852, 3557, 3712, 2908, 3320, 3437, 3568, 3563, 3990, 2927, 3310, 3870, 2798, 3982, 2660, 3141, - 2523, 3190, 2937, 3885, 3422, 3537, 3468, 2640, 3142, 3463, 2643, 3845, 3280, 3403, 3735, 3764, 3479, 3189, 3467, 2520, - 4013, 2914, 3772, 2537, 4023, 3842, 2517, 3465, 3151, 2653, 3138, 3540, 3745, 2808, 3976, 2768, 3397, 3851, 2531, 2658, - 3508, 2554, 2666, 3283, 3404, 3998, 2375, 2429, 3315, 2482, 2985, 2899, 3588, 2921, 2963, 3398, 2495, 2971, 3802, 3290, - 3916, 3594, 3825, 2907, 3299, 3424, 3794, 3827, 3968, 2926, 3313, 3934, 2990, 4001, 2724, 2333, 2824, 2522, 2330, 2871, - 2478, 2936, 3949, 2423, 3425, 3797, 2355, 3078, 2704, 2816, 3074, 2707, 3909, 3285, 3405, 2456, 3637, 2380, 3638, 3125, - 2854, 3087, 2525, 3981, 2459, 2896, 3628, 2547, 3974, 2469, 3906, 2512, 2320, 3077, 2829, 2717, 2817, 2398, 3615, 3811 + 2843, 2857, 2620, 3724, 3824, 3819, 2591, 3911, 3369, 2835, 3654, 3347, 3719, 3826, 2614, 3374, + 3965, 2565, 3355, 2862, + 4029, 3680, 3813, 3975, 2715, 2999, 2150, 3226, 2712, 2952, 2167, 2351, 3681, 3796, 3384, 3948, + 2322, 3457, 2325, 2944, + 3456, 2729, 2571, 3661, 3907, 3767, 3750, 2723, 3511, 2361, 3256, 2709, 3464, 2120, 2872, 4012, + 3742, 3793, 2328, 2945, + 2746, 2112, 3971, 2583, 3648, 2957, 3469, 2125, 3229, 3216, 2113, 3344, 3773, 3977, 3913, 2832, + 3663, 2982, 3494, 2367, + 3259, 3908, 3972, 3251, 2474, 3162, 2475, 3187, 2412, 2605, 3566, 3590, 3547, 2590, 3847, 2372, + 3353, 3154, 3650, 3364, + 3586, 3561, 2615, 3375, 3901, 2568, 3356, 3185, 3973, 3539, 3693, 4022, 2651, 2807, 2151, 3227, + 2648, 2760, 2134, 2084, + 2422, 3536, 3678, 2481, 3385, 3884, 2067, 3076, 2064, 2752, 3082, 2665, 2574, 3659, 3843, 2378, + 3623, 2461, 3606, 2659, + 3111, 2082, 3235, 2645, 3075, 2126, 3171, 3979, 2399, 3576, 3616, 2077, 2753, 2682, 2116, 4028, + 2421, 2582, 3660, 2765, + 3086, 2115, 3224, 3221, 2122, 2458, 3362, 3629, 3999, 3849, 3157, 3653, 2790, 3094, 2090, 3258, + 2480, 3844, 3991, 3241, + 3142, 3263, 3250, 2419, 3325, 2880, 3887, 2948, 3868, 2394, 3520, 3136, 3271, 2759, 3612, 3458, + 2881, 3631, 2988, 3865, + 2417, 3553, 3620, 2403, 2813, 3609, 3168, 4018, 3501, 3876, 3169, 4031, 2844, 2841, 2223, 3319, + 3486, 3874, 3246, 3552, + 3618, 2194, 2836, 3655, 2197, 2833, 3660, 2389, 2790, 3467, 2997, 3535, 2932, 3149, 3276, 2903, + 3151, 3224, 3700, 2233, + 3657, 2782, 4011, 2913, 3294, 3897, 2878, 2200, 2954, 4002, 2386, 3302, 3468, 3659, 2940, 3227, + 3641, 2975, 4025, 2998, + 3533, 2807, 3461, 3671, 2239, 3237, 3526, 2764, 4010, 2856, 3206, 2283, 2502, 3863, 2288, 2528, + 3446, 2290, 2226, 3232, + 3702, 2213, 3892, 3200, 2224, 2529, 3445, 2219, 2496, 3927, 3233, 3701, 2277, 3956, 2934, 3297, + 3543, 3333, 2885, 3572, + 2588, 3382, 3663, 2193, 3407, 2600, 3786, 3277, 3334, 2580, 2886, 3780, 3264, 2509, 3650, 3213, + 3394, 3852, 3847, 3798, + 2585, 3381, 3790, 3529, 3915, 3851, 2577, 2882, 3532, 3911, 2511, 3654, 2895, 3779, 3531, 3343, + 3527, 3279, 3330, 2196, + 3849, 2260, 3913, 2257, 3397, 3653, 2933, 3296, 3815, 2622, 3270, 3215, 3398, 3916, 3305, 2793, + 2916, 3713, 2905, 2771, + 3394, 2779, 3570, 3291, 3852, 3557, 3712, 2908, 3320, 3437, 3568, 3563, 3990, 2927, 3310, 3870, + 2798, 3982, 2660, 3141, + 2523, 3190, 2937, 3885, 3422, 3537, 3468, 2640, 3142, 3463, 2643, 3845, 3280, 3403, 3735, 3764, + 3479, 3189, 3467, 2520, + 4013, 2914, 3772, 2537, 4023, 3842, 2517, 3465, 3151, 2653, 3138, 3540, 3745, 2808, 3976, 2768, + 3397, 3851, 2531, 2658, + 3508, 2554, 2666, 3283, 3404, 3998, 2375, 2429, 3315, 2482, 2985, 2899, 3588, 2921, 2963, 3398, + 2495, 2971, 3802, 3290, + 3916, 3594, 3825, 2907, 3299, 3424, 3794, 3827, 3968, 2926, 3313, 3934, 2990, 4001, 2724, 2333, + 2824, 2522, 2330, 2871, + 2478, 2936, 3949, 2423, 3425, 3797, 2355, 3078, 2704, 2816, 3074, 2707, 3909, 3285, 3405, 2456, + 3637, 2380, 3638, 3125, + 2854, 3087, 2525, 3981, 2459, 2896, 3628, 2547, 3974, 2469, 3906, 2512, 2320, 3077, 2829, 2717, + 2817, 2398, 3615, 3811 ] private def ClayworthSurface_edge_tgt_data_chunk10 : Array (Fin 4032) := #[ - 3000, 4000, 2960, 3407, 3915, 2552, 2722, 2360, 3126, 2555, 2730, 2406, 3282, 3392, 3983, 2363, 2822, 3268, 3308, 3243, - 2887, 3731, 2951, 3753, 3072, 2816, 3242, 2756, 3932, 3778, 2892, 3951, 3005, 3739, 3105, 3940, 2796, 3929, 2848, 3987, - 3758, 3821, 2849, 3984, 3164, 2459, 3161, 3249, 3768, 3806, 3104, 3318, 3938, 3156, 3648, 3153, 3649, 2805, 3787, 2982, - 3087, 2829, 2918, 3229, 2831, 2935, 3274, 3686, 3661, 2456, 2783, 4009, 2941, 3226, 3728, 2473, 3198, 2956, 4014, 3248, - 3788, 2453, 3656, 2910, 3295, 3961, 2974, 4024, 2999, 3085, 2806, 3781, 2467, 3703, 2490, 3078, 3317, 2762, 3995, 3176, - 3462, 3668, 3688, 3416, 3413, 3458, 3676, 3433, 3419, 3602, 3673, 3631, 2718, 2801, 3802, 3033, 3109, 3313, 3544, 2733, - 3805, 2615, 3036, 3118, 2865, 3547, 3710, 3450, 2864, 3561, 3025, 3766, 2769, 2693, 2833, 3028, 3765, 2800, 3827, 3495, - 3478, 3722, 3832, 2851, 3326, 3743, 3792, 2598, 3128, 3605, 3488, 3665, 2568, 3048, 2690, 2878, 3835, 3112, 3647, 2573, - 2699, 3541, 3756, 3092, 3312, 3281, 3131, 2814, 3427, 3501, 3641, 2560, 2700, 2787, 3555, 3716, 2874, 3322, 2561, 2810, - 3608, 3070, 3299, 3578, 2901, 3714, 2904, 3368, 3348, 3718, 2907, 3353, 3356, 3119, 2921, 3090, 2673, 2974, 3867, 3040, - 3249, 3630, 3196, 3967, 2989, 3864, 2542, 3041, 3621, 3167, 3954, 2938, 3390, 3947, 3023, 3509, 2641, 3144, 2949, 3021, - 3510, 2672, 3881, 3734, 3751, 3460, 3875, 3146, 3262, 3500, 3861, 2533, 3604, 3129, 2915, 3757, 2552, 3008, 2946, 3898, - 3643, 3096, 2516, 2955, 3487, 3961, 3248, 3640, 3150, 3217, 3624, 2686, 3137, 3345, 3744, 3093, 2536, 2659, 2956, 3466, - 3938, 3258, 2555, 2682, 3135, 3014, 3235, 3946, 2886, 3732, 2950, 3752, 2758, 3613, 2882, 3600, 2976, 3740, 3635, 2784, - 3610, 3411, 3737, 3428, 3817, 3049, 3376, 3560, 3834, 3035, 3377, 3548, 3774, 3643, 2657, 3545, 3043, 3702, 2740, 2676, - 3029, 3701, 2721, 3803, 2791, 2983, 2919, 2902, 3658, 3797, 3679, 3811, 2684, 3363, 2797, 3408, 2912, 3729, 3032, 2688, - 3800, 2689, 3390, 2946, 3434, 2647, 3540, 3692, 2748, 3345, 2711, 2625, 3386, 2925, 3640, 2989, 3426, 2966, 2774, 3537, - 3652, 2754, 3421, 3066, 2624, 3582, 3020, 2884, 3856, 2944, 3869, 3010, 2752, 3933, 2890, 3920, 2977, 3866, 3955, 2785, - 3930, 3038, 3440, 3891, 3053, 3441, 3497, 3347, 3112, 3514, 3364, 3100, 3899, 3963, 2656, 3097, 3670, 2727, 2663, 3687, - 2720, 3483, 2804, 2996, 2933, 3013, 2934, 3019, 3477, 3650, 3491, 3693, 2669, 3362, 2812, 3409, 2924, 3896, 2694, 3480, - 2690, 3357, 2945, 3450, 2646, 3092, 3680, 2733, 3344, 2710, 2626, 3370, 2911, 3960, 3004, 3427, 2967, 2775, 3089, 3654, - 2753, 3454, 2630, 3134, 2752, 3328, 3858, 2820, 3891, 3521, 2758, 3140, 3737, 3073, 3329, 3748, 2860, 3866, 3580, 3759, - 3180, 3740, 2785, 3996, 3132, 3889, 2784, 4008, 2972, 2969, 3103, 3875, 3551, 3769, 2964, 3399, 2961, 3404, 3086, 3189, - 2869, 3534, 2767, 3380, 2765, 3351, 3444, 3401, 3167, 3993, 3361, 3861, 3006, 2826, 3985, 3082, 3403, 3388, 3746, 2847, - 3988, 2870, 3528, 3080, 3190, 3415, 3530, 3146, 4030, 2984, 2944, 3340, 3922, 3143, 3955, 3782, 2950, 2823, 3635, 3462 + 3000, 4000, 2960, 3407, 3915, 2552, 2722, 2360, 3126, 2555, 2730, 2406, 3282, 3392, 3983, 2363, + 2822, 3268, 3308, 3243, + 2887, 3731, 2951, 3753, 3072, 2816, 3242, 2756, 3932, 3778, 2892, 3951, 3005, 3739, 3105, 3940, + 2796, 3929, 2848, 3987, + 3758, 3821, 2849, 3984, 3164, 2459, 3161, 3249, 3768, 3806, 3104, 3318, 3938, 3156, 3648, 3153, + 3649, 2805, 3787, 2982, + 3087, 2829, 2918, 3229, 2831, 2935, 3274, 3686, 3661, 2456, 2783, 4009, 2941, 3226, 3728, 2473, + 3198, 2956, 4014, 3248, + 3788, 2453, 3656, 2910, 3295, 3961, 2974, 4024, 2999, 3085, 2806, 3781, 2467, 3703, 2490, 3078, + 3317, 2762, 3995, 3176, + 3462, 3668, 3688, 3416, 3413, 3458, 3676, 3433, 3419, 3602, 3673, 3631, 2718, 2801, 3802, 3033, + 3109, 3313, 3544, 2733, + 3805, 2615, 3036, 3118, 2865, 3547, 3710, 3450, 2864, 3561, 3025, 3766, 2769, 2693, 2833, 3028, + 3765, 2800, 3827, 3495, + 3478, 3722, 3832, 2851, 3326, 3743, 3792, 2598, 3128, 3605, 3488, 3665, 2568, 3048, 2690, 2878, + 3835, 3112, 3647, 2573, + 2699, 3541, 3756, 3092, 3312, 3281, 3131, 2814, 3427, 3501, 3641, 2560, 2700, 2787, 3555, 3716, + 2874, 3322, 2561, 2810, + 3608, 3070, 3299, 3578, 2901, 3714, 2904, 3368, 3348, 3718, 2907, 3353, 3356, 3119, 2921, 3090, + 2673, 2974, 3867, 3040, + 3249, 3630, 3196, 3967, 2989, 3864, 2542, 3041, 3621, 3167, 3954, 2938, 3390, 3947, 3023, 3509, + 2641, 3144, 2949, 3021, + 3510, 2672, 3881, 3734, 3751, 3460, 3875, 3146, 3262, 3500, 3861, 2533, 3604, 3129, 2915, 3757, + 2552, 3008, 2946, 3898, + 3643, 3096, 2516, 2955, 3487, 3961, 3248, 3640, 3150, 3217, 3624, 2686, 3137, 3345, 3744, 3093, + 2536, 2659, 2956, 3466, + 3938, 3258, 2555, 2682, 3135, 3014, 3235, 3946, 2886, 3732, 2950, 3752, 2758, 3613, 2882, 3600, + 2976, 3740, 3635, 2784, + 3610, 3411, 3737, 3428, 3817, 3049, 3376, 3560, 3834, 3035, 3377, 3548, 3774, 3643, 2657, 3545, + 3043, 3702, 2740, 2676, + 3029, 3701, 2721, 3803, 2791, 2983, 2919, 2902, 3658, 3797, 3679, 3811, 2684, 3363, 2797, 3408, + 2912, 3729, 3032, 2688, + 3800, 2689, 3390, 2946, 3434, 2647, 3540, 3692, 2748, 3345, 2711, 2625, 3386, 2925, 3640, 2989, + 3426, 2966, 2774, 3537, + 3652, 2754, 3421, 3066, 2624, 3582, 3020, 2884, 3856, 2944, 3869, 3010, 2752, 3933, 2890, 3920, + 2977, 3866, 3955, 2785, + 3930, 3038, 3440, 3891, 3053, 3441, 3497, 3347, 3112, 3514, 3364, 3100, 3899, 3963, 2656, 3097, + 3670, 2727, 2663, 3687, + 2720, 3483, 2804, 2996, 2933, 3013, 2934, 3019, 3477, 3650, 3491, 3693, 2669, 3362, 2812, 3409, + 2924, 3896, 2694, 3480, + 2690, 3357, 2945, 3450, 2646, 3092, 3680, 2733, 3344, 2710, 2626, 3370, 2911, 3960, 3004, 3427, + 2967, 2775, 3089, 3654, + 2753, 3454, 2630, 3134, 2752, 3328, 3858, 2820, 3891, 3521, 2758, 3140, 3737, 3073, 3329, 3748, + 2860, 3866, 3580, 3759, + 3180, 3740, 2785, 3996, 3132, 3889, 2784, 4008, 2972, 2969, 3103, 3875, 3551, 3769, 2964, 3399, + 2961, 3404, 3086, 3189, + 2869, 3534, 2767, 3380, 2765, 3351, 3444, 3401, 3167, 3993, 3361, 3861, 3006, 2826, 3985, 3082, + 3403, 3388, 3746, 2847, + 3988, 2870, 3528, 3080, 3190, 3415, 3530, 3146, 4030, 2984, 2944, 3340, 3922, 3143, 3955, 3782, + 2950, 2823, 3635, 3462 ] private def ClayworthSurface_edge_tgt_data_chunk11 : Array (Fin 4032) := #[ - 3335, 3602, 3197, 3930, 3633, 3808, 2877, 3610, 2977, 4003, 3488, 3953, 2976, 4017, 2780, 2777, 3489, 3939, 3619, 3809, - 2772, 3393, 2769, 3392, 2854, 3469, 3174, 3789, 2959, 3383, 2957, 3366, 3447, 3400, 2846, 3989, 3358, 3925, 2814, 3148, - 4019, 3456, 3405, 3389, 3605, 3166, 3994, 3191, 3791, 2871, 3471, 3430, 3776, 2828, 3986, 2792, 3404, 3795, 3817, 3904, - 3497, 3584, 3399, 3475, 3803, 3502, 3937, 3483, 3998, 3617, 3822, 3980, 3616, 3832, 3512, 3936, 3329, 3328, 3599, 3919, - 3447, 3430, 3383, 3336, 4013, 3422, 3792, 3973, 3590, 3341, 3453, 3472, 3979, 3917, 3597, 3366, 3910, 3970, 3306, 3307, - 3244, 3538, 3648, 3571, 3841, 3204, 3481, 3585, 3492, 3649, 3546, 3503, 3900, 3484, 3971, 3569, 3644, 4007, 3254, 3555, - 3615, 3313, 3513, 3871, 2887, 2892, 3598, 3854, 3210, 3700, 3293, 3671, 2932, 2889, 3977, 3231, 3541, 3681, 4001, 3253, - 3594, 2891, 3290, 3490, 3708, 4000, 3848, 3592, 2903, 3312, 3850, 4020, 3161, 3164, 3054, 3638, 3035, 3894, 3183, 3721, - 3589, 3049, 3845, 3172, 3909, 3027, 3764, 3958, 3317, 3248, 3279, 3024, 3745, 3851, 3308, 3751, 3900, 3644, 3607, 3302, - 3237, 3277, 3170, 3915, 3064, 3615, 3325, 3964, 3744, 3217, 3220, 3595, 3935, 3871, 3193, 3715, 3250, 3863, 3927, 3243, - 3392, 3567, 3548, 3840, 3100, 3714, 3119, 3393, 3545, 3108, 3873, 3097, 3983, 3556, 3757, 4021, 3554, 3742, 3106, 3872, - 3335, 3340, 3723, 3855, 3444, 3415, 3380, 3337, 3981, 3425, 3577, 4029, 3724, 3339, 3129, 3452, 4012, 3853, 3717, 3351, - 3846, 4006, 3304, 3751, 3431, 3292, 3670, 3734, 3326, 3414, 3607, 3289, 3687, 3636, 3225, 3095, 3331, 3124, 3367, 3651, - 3406, 3466, 3217, 3338, 3460, 3262, 3658, 3281, 3396, 3716, 3722, 3478, 3350, 3470, 3081, 3595, 3715, 3084, 3591, 3652, - 3459, 3083, 3342, 3079, 3220, 3332, 3726, 3593, 3395, 3662, 3228, 3495, 3240, 3284, 3402, 3596, 3656, 3401, 3893, 3703, - 3444, 3926, 3855, 3918, 3267, 3139, 3175, 3853, 3425, 3146, 3274, 3268, 3901, 3431, 3670, 3693, 3158, 3949, 3662, 3959, - 3878, 3150, 3140, 3278, 3678, 3912, 3395, 3884, 3303, 3286, 3424, 3934, 3207, 3261, 3314, 3655, 3718, 3327, 3801, 3905, - 3660, 3812, 3744, 3823, 3804, 3969, 3964, 4028, 3310, 3935, 3255, 3745, 3833, 3918, 3725, 3288, 3686, 3212, 3703, 3976, - 3291, 3709, 3978, 3301, 3914, 3230, 3678, 3810, 3999, 3727, 3912, 3238, 3712, 3982, 3334, 3601, 3646, 3736, 3330, 3733, - 3609, 3753, 3739, 3667, 3612, 3684, 3801, 3579, 3838, 3571, 3624, 3770, 3546, 3446, 3445, 3804, 3367, 3350, 3402, 3796, - 3423, 3793, 3664, 3360, 3604, 3816, 3690, 3436, 3576, 3373, 3747, 3682, 3396, 3536, 3677, 3549, 3394, 3496, 3398, 3476, - 3481, 3484, 3868, 3697, 3944, 3880, 3696, 3932, 3518, 3929, 3381, 3382, 3865, 3414, 3431, 3332, 3857, 3372, 3860, 3665, - 3437, 3902, 3706, 3359, 3924, 3683, 3710, 3424, 3473, 3338, 3921, 3966, 3767, 3879, 3587, 3720, 3843, 3907, 3623, 3943, - 3616, 3849, 3636, 3873, 3757, 3734, 3913, 3742, 3937, 3617, 3726, 3936, 3872, 3593, 3892, 3956, 3574, 3465, 3525, 3785, - 3508, 3828, 3489, 3531, 3495, 3580, 3779, 3808, 3488, 3809, 3551, 3459, 3543, 3815, 3862, 3657, 3854, 3919, 3700, 3957 + 3335, 3602, 3197, 3930, 3633, 3808, 2877, 3610, 2977, 4003, 3488, 3953, 2976, 4017, 2780, 2777, + 3489, 3939, 3619, 3809, + 2772, 3393, 2769, 3392, 2854, 3469, 3174, 3789, 2959, 3383, 2957, 3366, 3447, 3400, 2846, 3989, + 3358, 3925, 2814, 3148, + 4019, 3456, 3405, 3389, 3605, 3166, 3994, 3191, 3791, 2871, 3471, 3430, 3776, 2828, 3986, 2792, + 3404, 3795, 3817, 3904, + 3497, 3584, 3399, 3475, 3803, 3502, 3937, 3483, 3998, 3617, 3822, 3980, 3616, 3832, 3512, 3936, + 3329, 3328, 3599, 3919, + 3447, 3430, 3383, 3336, 4013, 3422, 3792, 3973, 3590, 3341, 3453, 3472, 3979, 3917, 3597, 3366, + 3910, 3970, 3306, 3307, + 3244, 3538, 3648, 3571, 3841, 3204, 3481, 3585, 3492, 3649, 3546, 3503, 3900, 3484, 3971, 3569, + 3644, 4007, 3254, 3555, + 3615, 3313, 3513, 3871, 2887, 2892, 3598, 3854, 3210, 3700, 3293, 3671, 2932, 2889, 3977, 3231, + 3541, 3681, 4001, 3253, + 3594, 2891, 3290, 3490, 3708, 4000, 3848, 3592, 2903, 3312, 3850, 4020, 3161, 3164, 3054, 3638, + 3035, 3894, 3183, 3721, + 3589, 3049, 3845, 3172, 3909, 3027, 3764, 3958, 3317, 3248, 3279, 3024, 3745, 3851, 3308, 3751, + 3900, 3644, 3607, 3302, + 3237, 3277, 3170, 3915, 3064, 3615, 3325, 3964, 3744, 3217, 3220, 3595, 3935, 3871, 3193, 3715, + 3250, 3863, 3927, 3243, + 3392, 3567, 3548, 3840, 3100, 3714, 3119, 3393, 3545, 3108, 3873, 3097, 3983, 3556, 3757, 4021, + 3554, 3742, 3106, 3872, + 3335, 3340, 3723, 3855, 3444, 3415, 3380, 3337, 3981, 3425, 3577, 4029, 3724, 3339, 3129, 3452, + 4012, 3853, 3717, 3351, + 3846, 4006, 3304, 3751, 3431, 3292, 3670, 3734, 3326, 3414, 3607, 3289, 3687, 3636, 3225, 3095, + 3331, 3124, 3367, 3651, + 3406, 3466, 3217, 3338, 3460, 3262, 3658, 3281, 3396, 3716, 3722, 3478, 3350, 3470, 3081, 3595, + 3715, 3084, 3591, 3652, + 3459, 3083, 3342, 3079, 3220, 3332, 3726, 3593, 3395, 3662, 3228, 3495, 3240, 3284, 3402, 3596, + 3656, 3401, 3893, 3703, + 3444, 3926, 3855, 3918, 3267, 3139, 3175, 3853, 3425, 3146, 3274, 3268, 3901, 3431, 3670, 3693, + 3158, 3949, 3662, 3959, + 3878, 3150, 3140, 3278, 3678, 3912, 3395, 3884, 3303, 3286, 3424, 3934, 3207, 3261, 3314, 3655, + 3718, 3327, 3801, 3905, + 3660, 3812, 3744, 3823, 3804, 3969, 3964, 4028, 3310, 3935, 3255, 3745, 3833, 3918, 3725, 3288, + 3686, 3212, 3703, 3976, + 3291, 3709, 3978, 3301, 3914, 3230, 3678, 3810, 3999, 3727, 3912, 3238, 3712, 3982, 3334, 3601, + 3646, 3736, 3330, 3733, + 3609, 3753, 3739, 3667, 3612, 3684, 3801, 3579, 3838, 3571, 3624, 3770, 3546, 3446, 3445, 3804, + 3367, 3350, 3402, 3796, + 3423, 3793, 3664, 3360, 3604, 3816, 3690, 3436, 3576, 3373, 3747, 3682, 3396, 3536, 3677, 3549, + 3394, 3496, 3398, 3476, + 3481, 3484, 3868, 3697, 3944, 3880, 3696, 3932, 3518, 3929, 3381, 3382, 3865, 3414, 3431, 3332, + 3857, 3372, 3860, 3665, + 3437, 3902, 3706, 3359, 3924, 3683, 3710, 3424, 3473, 3338, 3921, 3966, 3767, 3879, 3587, 3720, + 3843, 3907, 3623, 3943, + 3616, 3849, 3636, 3873, 3757, 3734, 3913, 3742, 3937, 3617, 3726, 3936, 3872, 3593, 3892, 3956, + 3574, 3465, 3525, 3785, + 3508, 3828, 3489, 3531, 3495, 3580, 3779, 3808, 3488, 3809, 3551, 3459, 3543, 3815, 3862, 3657, + 3854, 3919, 3700, 3957 ] private def ClayworthSurface_edge_tgt_data_chunk12 : Array (Fin 4032) := #[ - 3681, 3848, 3687, 3870, 3917, 3965, 3680, 3948, 3885, 3651, 3895, 3942, 3659, 3735, 3671, 3606, 3723, 3598, 3717, 3743, - 3702, 3679, 3629, 3653, 3639, 3766, 3708, 3592, 3772, 3614, 3814, 3789, 3837, 3829, 3791, 3820, 3784, 3831, 3790, 3821, + 3681, 3848, 3687, 3870, 3917, 3965, 3680, 3948, 3885, 3651, 3895, 3942, 3659, 3735, 3671, 3606, + 3723, 3598, 3717, 3743, + 3702, 3679, 3629, 3653, 3639, 3766, 3708, 3592, 3772, 3614, 3814, 3789, 3837, 3829, 3791, 3820, + 3784, 3831, 3790, 3821, 3806, 3798, 3787, 3799, 3781, 3807, 3836, 3830 ] private def ClayworthSurface_edge_tgt_data : Array (Fin 4032) := - ClayworthSurface_edge_tgt_data_chunk0 ++ ClayworthSurface_edge_tgt_data_chunk1 ++ ClayworthSurface_edge_tgt_data_chunk2 ++ ClayworthSurface_edge_tgt_data_chunk3 ++ ClayworthSurface_edge_tgt_data_chunk4 ++ ClayworthSurface_edge_tgt_data_chunk5 ++ ClayworthSurface_edge_tgt_data_chunk6 ++ ClayworthSurface_edge_tgt_data_chunk7 ++ ClayworthSurface_edge_tgt_data_chunk8 ++ ClayworthSurface_edge_tgt_data_chunk9 ++ ClayworthSurface_edge_tgt_data_chunk10 ++ ClayworthSurface_edge_tgt_data_chunk11 ++ ClayworthSurface_edge_tgt_data_chunk12 + ClayworthSurface_edge_tgt_data_chunk0 ++ ClayworthSurface_edge_tgt_data_chunk1 ++ + ClayworthSurface_edge_tgt_data_chunk2 ++ ClayworthSurface_edge_tgt_data_chunk3 ++ + ClayworthSurface_edge_tgt_data_chunk4 ++ ClayworthSurface_edge_tgt_data_chunk5 ++ + ClayworthSurface_edge_tgt_data_chunk6 ++ ClayworthSurface_edge_tgt_data_chunk7 ++ + ClayworthSurface_edge_tgt_data_chunk8 ++ ClayworthSurface_edge_tgt_data_chunk9 ++ + ClayworthSurface_edge_tgt_data_chunk10 ++ ClayworthSurface_edge_tgt_data_chunk11 ++ + ClayworthSurface_edge_tgt_data_chunk12 private def ClayworthSurface_face_edge_data_chunk0 : Array (Fin 6048) := #[ - 0, 3430, 2476, 2477, 4501, 4, 3, 3343, 2408, 2409, 4509, 2, 1, 5102, 1115, 1114, 5009, 99, 100, 5101, - 1040, 1039, 4987, 0, 2, 4114, 3260, 3261, 4588, 39, 40, 4109, 3235, 3236, 4595, 1, 4, 3111, 1429, 1431, - 4856, 25, 24, 3141, 1504, 1505, 4858, 5, 5, 3882, 2715, 2717, 4993, 180, 182, 3878, 2777, 2778, 4970, 3, - 7, 3358, 1765, 1766, 4511, 17, 16, 3431, 1840, 1841, 4508, 8, 6, 3093, 3092, 3504, 4859, 20, 18, 3138, - 3137, 3564, 4855, 7, 8, 3875, 2098, 2099, 4644, 135, 137, 3879, 2165, 2166, 4627, 6, 11, 3341, 3340, 4008, - 3714, 12, 14, 3366, 3365, 4048, 3828, 9, 10, 5368, 2744, 2745, 5653, 119, 118, 5371, 2713, 2714, 5658, 11, - 9, 3829, 539, 538, 5166, 29, 27, 3795, 464, 463, 5157, 10, 12, 3715, 923, 922, 4921, 133, 132, 3718, - 848, 847, 4903, 13, 13, 4143, 3531, 3532, 4587, 32, 30, 4108, 3501, 3502, 4597, 14, 17, 5367, 4826, 4827, - 5274, 33, 35, 5370, 4809, 4810, 5268, 15, 15, 5269, 1043, 1042, 5167, 164, 163, 5271, 1085, 1084, 5179, 16, - 19, 5103, 731, 730, 4675, 96, 97, 5104, 656, 655, 4679, 18, 20, 4330, 4264, 4265, 4927, 45, 46, 4325, - 4225, 4226, 4926, 19, 21, 3712, 1307, 1306, 4580, 184, 183, 3710, 1232, 1231, 4583, 22, 23, 3102, 3024, 3025, - 3794, 27, 28, 3095, 2981, 2982, 3711, 21, 22, 4359, 2439, 2440, 4930, 37, 36, 4323, 2405, 2406, 4934, 23, - 25, 5681, 4807, 4808, 5874, 44, 42, 5670, 4837, 4838, 5878, 26, 26, 5879, 659, 658, 5155, 166, 167, 5877, - 701, 700, 5176, 24, 29, 5829, 2130, 2131, 5720, 157, 158, 5823, 2095, 2096, 5727, 28, 31, 5194, 2251, 2252, - 4907, 93, 95, 5211, 2286, 2287, 4889, 30, 32, 4337, 1933, 1935, 4931, 42, 43, 4362, 2008, 2009, 4933, 31, - 34, 4146, 1672, 1673, 4596, 38, 37, 4121, 1597, 1598, 4599, 35, 33, 5275, 851, 850, 3789, 71, 70, 5273, - 893, 892, 3825, 34, 38, 5191, 2860, 2861, 4552, 90, 92, 5212, 2921, 2922, 4537, 36, 39, 5158, 467, 466, - 3793, 47, 45, 5180, 509, 508, 3809, 41, 41, 5369, 2321, 2322, 5624, 115, 116, 5366, 2254, 2255, 5633, 40, - 44, 5875, 1235, 1234, 3811, 67, 68, 5876, 1277, 1276, 3826, 43, 47, 5928, 2888, 2889, 5576, 160, 161, 5920, - 2857, 2858, 5583, 46, 49, 4560, 1334, 1333, 3310, 89, 88, 4541, 1246, 1245, 3308, 50, 48, 5418, 1924, 1923, - 3927, 59, 58, 5423, 1961, 1960, 3839, 49, 50, 5281, 4813, 4814, 5389, 168, 170, 5283, 4830, 4831, 5419, 48, - 52, 5241, 479, 478, 3926, 62, 60, 5264, 566, 564, 3956, 53, 51, 4531, 2849, 2848, 3301, 188, 187, 4536, - 2900, 2899, 3302, 52, 53, 5292, 4255, 4256, 5056, 145, 146, 5282, 4232, 4233, 5082, 51, 56, 5811, 1625, 1624, - 3836, 63, 64, 5804, 1588, 1587, 3953, 55, 54, 3345, 2883, 2882, 5018, 154, 153, 3401, 2851, 2850, 5017, 56, - 55, 4769, 2455, 2454, 3406, 141, 142, 4722, 2395, 2394, 3344, 54, 57, 3091, 2298, 2297, 5410, 124, 123, 3127 + 0, 3430, 2476, 2477, 4501, 4, 3, 3343, 2408, 2409, 4509, 2, 1, 5102, 1115, 1114, 5009, 99, 100, + 5101, + 1040, 1039, 4987, 0, 2, 4114, 3260, 3261, 4588, 39, 40, 4109, 3235, 3236, 4595, 1, 4, 3111, + 1429, 1431, + 4856, 25, 24, 3141, 1504, 1505, 4858, 5, 5, 3882, 2715, 2717, 4993, 180, 182, 3878, 2777, 2778, + 4970, 3, + 7, 3358, 1765, 1766, 4511, 17, 16, 3431, 1840, 1841, 4508, 8, 6, 3093, 3092, 3504, 4859, 20, + 18, 3138, + 3137, 3564, 4855, 7, 8, 3875, 2098, 2099, 4644, 135, 137, 3879, 2165, 2166, 4627, 6, 11, 3341, + 3340, 4008, + 3714, 12, 14, 3366, 3365, 4048, 3828, 9, 10, 5368, 2744, 2745, 5653, 119, 118, 5371, 2713, + 2714, 5658, 11, + 9, 3829, 539, 538, 5166, 29, 27, 3795, 464, 463, 5157, 10, 12, 3715, 923, 922, 4921, 133, 132, + 3718, + 848, 847, 4903, 13, 13, 4143, 3531, 3532, 4587, 32, 30, 4108, 3501, 3502, 4597, 14, 17, 5367, + 4826, 4827, + 5274, 33, 35, 5370, 4809, 4810, 5268, 15, 15, 5269, 1043, 1042, 5167, 164, 163, 5271, 1085, + 1084, 5179, 16, + 19, 5103, 731, 730, 4675, 96, 97, 5104, 656, 655, 4679, 18, 20, 4330, 4264, 4265, 4927, 45, 46, + 4325, + 4225, 4226, 4926, 19, 21, 3712, 1307, 1306, 4580, 184, 183, 3710, 1232, 1231, 4583, 22, 23, + 3102, 3024, 3025, + 3794, 27, 28, 3095, 2981, 2982, 3711, 21, 22, 4359, 2439, 2440, 4930, 37, 36, 4323, 2405, 2406, + 4934, 23, + 25, 5681, 4807, 4808, 5874, 44, 42, 5670, 4837, 4838, 5878, 26, 26, 5879, 659, 658, 5155, 166, + 167, 5877, + 701, 700, 5176, 24, 29, 5829, 2130, 2131, 5720, 157, 158, 5823, 2095, 2096, 5727, 28, 31, 5194, + 2251, 2252, + 4907, 93, 95, 5211, 2286, 2287, 4889, 30, 32, 4337, 1933, 1935, 4931, 42, 43, 4362, 2008, 2009, + 4933, 31, + 34, 4146, 1672, 1673, 4596, 38, 37, 4121, 1597, 1598, 4599, 35, 33, 5275, 851, 850, 3789, 71, + 70, 5273, + 893, 892, 3825, 34, 38, 5191, 2860, 2861, 4552, 90, 92, 5212, 2921, 2922, 4537, 36, 39, 5158, + 467, 466, + 3793, 47, 45, 5180, 509, 508, 3809, 41, 41, 5369, 2321, 2322, 5624, 115, 116, 5366, 2254, 2255, + 5633, 40, + 44, 5875, 1235, 1234, 3811, 67, 68, 5876, 1277, 1276, 3826, 43, 47, 5928, 2888, 2889, 5576, + 160, 161, 5920, + 2857, 2858, 5583, 46, 49, 4560, 1334, 1333, 3310, 89, 88, 4541, 1246, 1245, 3308, 50, 48, 5418, + 1924, 1923, + 3927, 59, 58, 5423, 1961, 1960, 3839, 49, 50, 5281, 4813, 4814, 5389, 168, 170, 5283, 4830, + 4831, 5419, 48, + 52, 5241, 479, 478, 3926, 62, 60, 5264, 566, 564, 3956, 53, 51, 4531, 2849, 2848, 3301, 188, + 187, 4536, + 2900, 2899, 3302, 52, 53, 5292, 4255, 4256, 5056, 145, 146, 5282, 4232, 4233, 5082, 51, 56, + 5811, 1625, 1624, + 3836, 63, 64, 5804, 1588, 1587, 3953, 55, 54, 3345, 2883, 2882, 5018, 154, 153, 3401, 2851, + 2850, 5017, 56, + 55, 4769, 2455, 2454, 3406, 141, 142, 4722, 2395, 2394, 3344, 54, 57, 3091, 2298, 2297, 5410, + 124, 123, 3127 ] private def ClayworthSurface_face_edge_data_chunk1 : Array (Fin 6048) := #[ - 2243, 2242, 5422, 58, 59, 5555, 3543, 3542, 3139, 108, 109, 5520, 3493, 3492, 3090, 57, 62, 5891, 3295, 3296, - 5455, 112, 113, 5881, 3242, 3243, 5467, 61, 61, 4878, 2245, 2244, 3062, 121, 122, 4890, 2280, 2279, 3053, 60, - 63, 4764, 950, 948, 3064, 74, 73, 4747, 863, 861, 3068, 65, 65, 5885, 4851, 4852, 5918, 106, 107, 5883, - 4815, 4816, 5916, 64, 67, 5099, 2632, 2633, 4652, 117, 119, 5044, 2564, 2565, 4617, 66, 66, 4616, 3276, 3277, - 5600, 136, 135, 4643, 3233, 3234, 5605, 68, 69, 4955, 4250, 4251, 5341, 181, 180, 4992, 4227, 4228, 5272, 70, - 71, 5472, 3683, 3684, 4996, 156, 157, 5449, 3629, 3630, 4956, 69, 74, 5110, 4234, 4235, 4352, 81, 83, 5126, - 4280, 4281, 4332, 72, 72, 4331, 3639, 3311, 3312, 191, 190, 4390, 3669, 3304, 3305, 73, 75, 3171, 905, 904, - 4694, 110, 108, 3140, 860, 859, 4697, 77, 76, 5184, 1417, 1416, 3179, 186, 188, 5186, 1481, 1480, 3170, 75, - 77, 5111, 4469, 4470, 5189, 85, 86, 5109, 4445, 4446, 5185, 76, 78, 4135, 2089, 2088, 4692, 149, 147, 4106, - 2124, 2123, 4684, 79, 80, 5127, 3265, 3266, 4116, 87, 89, 5107, 3240, 3241, 4136, 78, 79, 5686, 374, 373, - 5421, 155, 154, 5674, 287, 286, 5403, 80, 81, 4351, 2707, 2706, 5398, 139, 138, 4322, 2739, 2738, 5400, 82, - 82, 5401, 284, 283, 5942, 125, 124, 5411, 329, 328, 5946, 83, 84, 3423, 1289, 1288, 5498, 143, 141, 3407, - 1244, 1243, 5501, 86, 85, 5188, 1753, 1752, 3392, 120, 121, 5187, 1817, 1816, 3424, 84, 87, 4115, 2554, 2553, - 3065, 128, 127, 4174, 2588, 2587, 3052, 88, 91, 5914, 317, 316, 5332, 137, 136, 5906, 275, 274, 5322, 92, - 90, 4551, 4009, 4010, 5832, 167, 165, 4528, 4032, 4033, 5833, 91, 94, 5324, 272, 271, 5699, 182, 181, 5342, - 347, 346, 5696, 95, 93, 4714, 2983, 2984, 5270, 163, 162, 4721, 3008, 3009, 5323, 94, 98, 5193, 4441, 4442, - 5100, 100, 101, 5195, 4464, 4465, 5105, 97, 96, 4674, 1633, 1634, 5704, 118, 117, 4651, 1595, 1596, 5706, 98, - 99, 5010, 1969, 1970, 5822, 158, 156, 4995, 1931, 1932, 5805, 101, 102, 3924, 476, 475, 5240, 173, 171, 3936, - 521, 520, 5250, 104, 103, 4954, 2705, 2704, 3921, 126, 128, 4971, 2756, 2755, 3923, 102, 104, 5890, 4037, 4038, - 5521, 109, 110, 5884, 4013, 4014, 5533, 103, 106, 5919, 1756, 1755, 5075, 148, 149, 5917, 1793, 1792, 5094, 105, - 105, 5015, 1142, 1141, 4296, 176, 175, 4966, 1055, 1053, 4300, 107, 112, 5454, 2398, 2397, 4321, 138, 140, 5489, - 2432, 2431, 4360, 111, 111, 4361, 1052, 1051, 5021, 152, 151, 4386, 1097, 1096, 5023, 113, 114, 4558, 1763, 1764, - 5563, 185, 184, 4579, 1801, 1802, 5560, 116, 115, 4713, 3632, 3633, 4529, 165, 166, 4746, 3662, 3663, 4559, 114, - 120, 3391, 3702, 3701, 4286, 178, 177, 3363, 3641, 3640, 4297, 122, 125, 3748, 3043, 3044, 3104, 174, 176, 3721, - 2990, 2991, 3128, 123, 126, 3922, 1649, 1648, 4170, 130, 129, 3909, 1585, 1584, 4175, 127, 130, 4169, 713, 712 + 2243, 2242, 5422, 58, 59, 5555, 3543, 3542, 3139, 108, 109, 5520, 3493, 3492, 3090, 57, 62, + 5891, 3295, 3296, + 5455, 112, 113, 5881, 3242, 3243, 5467, 61, 61, 4878, 2245, 2244, 3062, 121, 122, 4890, 2280, + 2279, 3053, 60, + 63, 4764, 950, 948, 3064, 74, 73, 4747, 863, 861, 3068, 65, 65, 5885, 4851, 4852, 5918, 106, + 107, 5883, + 4815, 4816, 5916, 64, 67, 5099, 2632, 2633, 4652, 117, 119, 5044, 2564, 2565, 4617, 66, 66, + 4616, 3276, 3277, + 5600, 136, 135, 4643, 3233, 3234, 5605, 68, 69, 4955, 4250, 4251, 5341, 181, 180, 4992, 4227, + 4228, 5272, 70, + 71, 5472, 3683, 3684, 4996, 156, 157, 5449, 3629, 3630, 4956, 69, 74, 5110, 4234, 4235, 4352, + 81, 83, 5126, + 4280, 4281, 4332, 72, 72, 4331, 3639, 3311, 3312, 191, 190, 4390, 3669, 3304, 3305, 73, 75, + 3171, 905, 904, + 4694, 110, 108, 3140, 860, 859, 4697, 77, 76, 5184, 1417, 1416, 3179, 186, 188, 5186, 1481, + 1480, 3170, 75, + 77, 5111, 4469, 4470, 5189, 85, 86, 5109, 4445, 4446, 5185, 76, 78, 4135, 2089, 2088, 4692, + 149, 147, 4106, + 2124, 2123, 4684, 79, 80, 5127, 3265, 3266, 4116, 87, 89, 5107, 3240, 3241, 4136, 78, 79, 5686, + 374, 373, + 5421, 155, 154, 5674, 287, 286, 5403, 80, 81, 4351, 2707, 2706, 5398, 139, 138, 4322, 2739, + 2738, 5400, 82, + 82, 5401, 284, 283, 5942, 125, 124, 5411, 329, 328, 5946, 83, 84, 3423, 1289, 1288, 5498, 143, + 141, 3407, + 1244, 1243, 5501, 86, 85, 5188, 1753, 1752, 3392, 120, 121, 5187, 1817, 1816, 3424, 84, 87, + 4115, 2554, 2553, + 3065, 128, 127, 4174, 2588, 2587, 3052, 88, 91, 5914, 317, 316, 5332, 137, 136, 5906, 275, 274, + 5322, 92, + 90, 4551, 4009, 4010, 5832, 167, 165, 4528, 4032, 4033, 5833, 91, 94, 5324, 272, 271, 5699, + 182, 181, 5342, + 347, 346, 5696, 95, 93, 4714, 2983, 2984, 5270, 163, 162, 4721, 3008, 3009, 5323, 94, 98, 5193, + 4441, 4442, + 5100, 100, 101, 5195, 4464, 4465, 5105, 97, 96, 4674, 1633, 1634, 5704, 118, 117, 4651, 1595, + 1596, 5706, 98, + 99, 5010, 1969, 1970, 5822, 158, 156, 4995, 1931, 1932, 5805, 101, 102, 3924, 476, 475, 5240, + 173, 171, 3936, + 521, 520, 5250, 104, 103, 4954, 2705, 2704, 3921, 126, 128, 4971, 2756, 2755, 3923, 102, 104, + 5890, 4037, 4038, + 5521, 109, 110, 5884, 4013, 4014, 5533, 103, 106, 5919, 1756, 1755, 5075, 148, 149, 5917, 1793, + 1792, 5094, 105, + 105, 5015, 1142, 1141, 4296, 176, 175, 4966, 1055, 1053, 4300, 107, 112, 5454, 2398, 2397, + 4321, 138, 140, 5489, + 2432, 2431, 4360, 111, 111, 4361, 1052, 1051, 5021, 152, 151, 4386, 1097, 1096, 5023, 113, 114, + 4558, 1763, 1764, + 5563, 185, 184, 4579, 1801, 1802, 5560, 116, 115, 4713, 3632, 3633, 4529, 165, 166, 4746, 3662, + 3663, 4559, 114, + 120, 3391, 3702, 3701, 4286, 178, 177, 3363, 3641, 3640, 4297, 122, 125, 3748, 3043, 3044, + 3104, 174, 176, 3721, + 2990, 2991, 3128, 123, 126, 3922, 1649, 1648, 4170, 130, 129, 3909, 1585, 1584, 4175, 127, 130, + 4169, 713, 712 ] private def ClayworthSurface_face_edge_data_chunk2 : Array (Fin 6048) := #[ - 5432, 146, 144, 4145, 668, 667, 5435, 131, 131, 3729, 3728, 4496, 3951, 150, 152, 3725, 3724, 4447, 3910, 129, - 134, 3881, 3880, 4440, 3709, 183, 185, 3877, 3876, 4480, 3717, 132, 133, 4922, 1465, 1466, 5606, 161, 159, 4909, - 1427, 1428, 5608, 134, 139, 5399, 1457, 1456, 5263, 169, 168, 5388, 1420, 1419, 5251, 140, 143, 5278, 2988, 2989, - 4740, 172, 173, 5293, 3013, 3014, 4723, 142, 145, 5055, 3495, 3494, 4105, 147, 148, 5076, 3526, 3525, 4144, 144, - 150, 3950, 1921, 1920, 4391, 190, 189, 3959, 1985, 1984, 4385, 151, 155, 3747, 3746, 4064, 3364, 177, 179, 3727, - 3726, 4015, 3402, 153, 160, 5515, 2561, 2562, 4879, 162, 164, 5538, 2595, 2596, 4910, 159, 169, 4653, 758, 757, - 4080, 179, 178, 4631, 670, 669, 4083, 170, 172, 4619, 2087, 2086, 3958, 189, 191, 4626, 2142, 2141, 3935, 171, - 174, 3103, 2551, 2550, 4081, 187, 186, 3178, 2611, 2610, 4070, 175, 193, 2326, 2325, 2929, 2930, 197, 195, 2220, - 2219, 2941, 2942, 194, 192, 3440, 947, 946, 4061, 292, 291, 3437, 938, 937, 4066, 193, 194, 2701, 2700, 4179, - 3529, 231, 232, 2695, 2694, 4187, 3439, 192, 197, 2093, 1936, 1937, 3185, 216, 217, 2125, 1864, 1865, 3187, 196, - 196, 2539, 2537, 4126, 4024, 372, 374, 2531, 2530, 4171, 4007, 195, 199, 2239, 1768, 1769, 2944, 209, 208, 2327, - 1696, 1697, 2940, 200, 198, 2070, 2071, 3188, 3189, 212, 211, 2121, 2122, 3183, 3184, 199, 200, 2526, 2524, 3116, - 4244, 327, 329, 2533, 2532, 3175, 4224, 198, 202, 2218, 2217, 2939, 2343, 204, 206, 2249, 2248, 2931, 2478, 201, - 203, 5287, 4150, 4151, 5625, 310, 311, 5291, 4123, 4124, 5641, 202, 201, 2479, 437, 436, 3541, 221, 219, 2438, - 446, 444, 3528, 203, 204, 2344, 1139, 1138, 3293, 325, 324, 2349, 1130, 1129, 3259, 205, 205, 2736, 2737, 4177, - 4178, 223, 222, 2690, 2691, 4189, 4190, 206, 209, 5286, 5285, 5661, 5354, 225, 227, 5290, 5289, 5656, 5347, 207, - 207, 5348, 914, 912, 3543, 356, 355, 5350, 899, 898, 3563, 208, 210, 3447, 755, 754, 4278, 289, 288, 3450, - 746, 745, 4283, 211, 212, 2845, 2844, 3962, 3565, 237, 238, 2839, 2838, 3970, 3446, 210, 214, 2880, 2881, 3796, - 3961, 229, 228, 2834, 2835, 3765, 3972, 215, 213, 2337, 1331, 1330, 3040, 376, 375, 2334, 1322, 1321, 3046, 214, - 215, 2083, 2082, 3181, 2437, 219, 220, 2075, 2074, 3180, 2336, 213, 216, 5689, 5762, 5763, 5949, 236, 235, 5690, - 5784, 5785, 5935, 218, 218, 5936, 722, 720, 3526, 358, 359, 5941, 707, 706, 3560, 217, 221, 5887, 3146, 3147, - 5721, 349, 350, 5889, 3113, 3114, 5733, 220, 224, 3600, 3367, 3369, 3270, 285, 287, 3620, 3397, 3399, 3237, 222, - 223, 2855, 1432, 1433, 3974, 235, 234, 2884, 1360, 1362, 3971, 224, 226, 2740, 1528, 1529, 4188, 230, 229, 2711, - 1600, 1601, 4192, 227, 225, 5355, 1106, 1104, 2432, 263, 262, 5353, 1091, 1090, 2473, 226, 230, 3593, 3591, 4342, - 3000, 282, 284, 3622, 3621, 4387, 2980, 228, 231, 3530, 488, 486, 2436, 239, 237, 3566, 557, 555, 2453, 233 + 5432, 146, 144, 4145, 668, 667, 5435, 131, 131, 3729, 3728, 4496, 3951, 150, 152, 3725, 3724, + 4447, 3910, 129, + 134, 3881, 3880, 4440, 3709, 183, 185, 3877, 3876, 4480, 3717, 132, 133, 4922, 1465, 1466, + 5606, 161, 159, 4909, + 1427, 1428, 5608, 134, 139, 5399, 1457, 1456, 5263, 169, 168, 5388, 1420, 1419, 5251, 140, 143, + 5278, 2988, 2989, + 4740, 172, 173, 5293, 3013, 3014, 4723, 142, 145, 5055, 3495, 3494, 4105, 147, 148, 5076, 3526, + 3525, 4144, 144, + 150, 3950, 1921, 1920, 4391, 190, 189, 3959, 1985, 1984, 4385, 151, 155, 3747, 3746, 4064, + 3364, 177, 179, 3727, + 3726, 4015, 3402, 153, 160, 5515, 2561, 2562, 4879, 162, 164, 5538, 2595, 2596, 4910, 159, 169, + 4653, 758, 757, + 4080, 179, 178, 4631, 670, 669, 4083, 170, 172, 4619, 2087, 2086, 3958, 189, 191, 4626, 2142, + 2141, 3935, 171, + 174, 3103, 2551, 2550, 4081, 187, 186, 3178, 2611, 2610, 4070, 175, 193, 2326, 2325, 2929, + 2930, 197, 195, 2220, + 2219, 2941, 2942, 194, 192, 3440, 947, 946, 4061, 292, 291, 3437, 938, 937, 4066, 193, 194, + 2701, 2700, 4179, + 3529, 231, 232, 2695, 2694, 4187, 3439, 192, 197, 2093, 1936, 1937, 3185, 216, 217, 2125, 1864, + 1865, 3187, 196, + 196, 2539, 2537, 4126, 4024, 372, 374, 2531, 2530, 4171, 4007, 195, 199, 2239, 1768, 1769, + 2944, 209, 208, 2327, + 1696, 1697, 2940, 200, 198, 2070, 2071, 3188, 3189, 212, 211, 2121, 2122, 3183, 3184, 199, 200, + 2526, 2524, 3116, + 4244, 327, 329, 2533, 2532, 3175, 4224, 198, 202, 2218, 2217, 2939, 2343, 204, 206, 2249, 2248, + 2931, 2478, 201, + 203, 5287, 4150, 4151, 5625, 310, 311, 5291, 4123, 4124, 5641, 202, 201, 2479, 437, 436, 3541, + 221, 219, 2438, + 446, 444, 3528, 203, 204, 2344, 1139, 1138, 3293, 325, 324, 2349, 1130, 1129, 3259, 205, 205, + 2736, 2737, 4177, + 4178, 223, 222, 2690, 2691, 4189, 4190, 206, 209, 5286, 5285, 5661, 5354, 225, 227, 5290, 5289, + 5656, 5347, 207, + 207, 5348, 914, 912, 3543, 356, 355, 5350, 899, 898, 3563, 208, 210, 3447, 755, 754, 4278, 289, + 288, 3450, + 746, 745, 4283, 211, 212, 2845, 2844, 3962, 3565, 237, 238, 2839, 2838, 3970, 3446, 210, 214, + 2880, 2881, 3796, + 3961, 229, 228, 2834, 2835, 3765, 3972, 215, 213, 2337, 1331, 1330, 3040, 376, 375, 2334, 1322, + 1321, 3046, 214, + 215, 2083, 2082, 3181, 2437, 219, 220, 2075, 2074, 3180, 2336, 213, 216, 5689, 5762, 5763, + 5949, 236, 235, 5690, + 5784, 5785, 5935, 218, 218, 5936, 722, 720, 3526, 358, 359, 5941, 707, 706, 3560, 217, 221, + 5887, 3146, 3147, + 5721, 349, 350, 5889, 3113, 3114, 5733, 220, 224, 3600, 3367, 3369, 3270, 285, 287, 3620, 3397, + 3399, 3237, 222, + 223, 2855, 1432, 1433, 3974, 235, 234, 2884, 1360, 1362, 3971, 224, 226, 2740, 1528, 1529, + 4188, 230, 229, 2711, + 1600, 1601, 4192, 227, 225, 5355, 1106, 1104, 2432, 263, 262, 5353, 1091, 1090, 2473, 226, 230, + 3593, 3591, 4342, + 3000, 282, 284, 3622, 3621, 4387, 2980, 228, 231, 3530, 488, 486, 2436, 239, 237, 3566, 557, + 555, 2453, 233 ] private def ClayworthSurface_face_edge_data_chunk3 : Array (Fin 6048) := #[ - 233, 5288, 3426, 3427, 5652, 307, 308, 5284, 3371, 3372, 5663, 232, 236, 5950, 1298, 1296, 2455, 259, 260, 5951, - 1283, 1282, 2474, 234, 239, 5888, 4366, 4367, 5577, 352, 353, 5886, 4339, 4340, 5589, 238, 241, 3010, 1171, 1170, - 2184, 281, 280, 2987, 1249, 1248, 2181, 242, 240, 5339, 1474, 1472, 2595, 251, 250, 5345, 1461, 1460, 2489, 241, - 242, 5362, 5361, 5766, 5308, 360, 362, 5365, 5364, 5779, 5340, 240, 243, 3668, 413, 411, 2594, 254, 252, 3703, - 395, 393, 2635, 245, 244, 2972, 2971, 2174, 2172, 379, 380, 2979, 2978, 2176, 2175, 243, 245, 5372, 4657, 4658, - 4726, 337, 338, 5363, 4632, 4633, 4753, 244, 248, 5915, 1629, 1628, 2486, 255, 256, 5913, 1642, 1640, 2632, 247, - 246, 2223, 4361, 4360, 4682, 346, 345, 2290, 4334, 4333, 4681, 248, 247, 5099, 3811, 3810, 2297, 333, 334, 5053, - 3756, 3755, 2222, 246, 249, 2069, 3407, 3406, 5331, 316, 315, 2111, 3362, 3361, 5344, 250, 251, 5538, 5167, 4683, - 2123, 300, 301, 5522, 5132, 4689, 2068, 249, 254, 5925, 4923, 4924, 5457, 304, 305, 5922, 4892, 4893, 5476, 253, - 253, 3214, 3212, 2032, 2033, 313, 314, 3239, 3238, 2022, 2023, 252, 255, 3299, 979, 978, 2036, 266, 265, 3231, - 1057, 1056, 2041, 257, 257, 5926, 5793, 5794, 5898, 298, 299, 5923, 5767, 5768, 5912, 256, 259, 4769, 3953, 3954, - 4251, 309, 310, 4712, 3902, 3904, 4215, 258, 258, 4214, 4909, 4910, 5834, 328, 327, 4243, 4887, 4888, 5837, 260, - 261, 3994, 4651, 4652, 5420, 373, 372, 4023, 4628, 4629, 5352, 262, 263, 5489, 5251, 5252, 4033, 348, 349, 5448, - 5216, 5217, 3995, 261, 266, 3464, 3463, 4634, 2872, 273, 275, 3485, 3484, 4677, 2847, 264, 264, 2846, 2969, 2186, - 2185, 383, 382, 2925, 3007, 2180, 2179, 265, 267, 2161, 986, 985, 5028, 302, 300, 2124, 1127, 1126, 5031, 269, - 268, 3576, 2000, 1999, 2170, 378, 379, 3578, 2006, 2005, 2160, 267, 269, 3467, 3466, 4448, 3588, 277, 278, 3462, - 3460, 4449, 3577, 268, 270, 2727, 3107, 3106, 5026, 341, 339, 2689, 3140, 3139, 5019, 271, 272, 3487, 3486, 4905, - 2703, 279, 281, 3456, 3455, 4891, 2728, 270, 273, 2871, 4118, 4117, 5319, 331, 330, 2833, 4145, 4144, 5321, 274, - 276, 2318, 1178, 1177, 5494, 335, 333, 2298, 1319, 1318, 5492, 278, 277, 3587, 1832, 1831, 2278, 312, 313, 3584, - 1838, 1837, 2319, 276, 279, 2702, 3215, 2037, 2038, 320, 319, 2781, 3298, 2020, 2021, 280, 282, 2999, 4968, 4969, - 5598, 359, 357, 2967, 4995, 4996, 5599, 283, 285, 3269, 4538, 4539, 5349, 355, 354, 3217, 4558, 4559, 5402, 286, - 290, 3598, 3596, 4443, 3438, 291, 293, 3603, 3602, 4439, 3451, 288, 289, 4277, 1534, 1535, 5702, 311, 309, 4250, - 1660, 1661, 5701, 290, 292, 4062, 1366, 1367, 5603, 350, 348, 4032, 1492, 1493, 5601, 293, 294, 2592, 431, 429, - 3667, 365, 363, 2609, 425, 423, 3682, 296, 295, 4000, 3998, 2798, 2589, 318, 320, 4006, 4005, 2788, 2591, 294, - 296, 5924, 5012, 5013, 5523, 301, 302, 5927, 4973, 4974, 5542, 295, 298, 5899, 1810, 1808, 3662, 340, 341, 5905 + 233, 5288, 3426, 3427, 5652, 307, 308, 5284, 3371, 3372, 5663, 232, 236, 5950, 1298, 1296, + 2455, 259, 260, 5951, + 1283, 1282, 2474, 234, 239, 5888, 4366, 4367, 5577, 352, 353, 5886, 4339, 4340, 5589, 238, 241, + 3010, 1171, 1170, + 2184, 281, 280, 2987, 1249, 1248, 2181, 242, 240, 5339, 1474, 1472, 2595, 251, 250, 5345, 1461, + 1460, 2489, 241, + 242, 5362, 5361, 5766, 5308, 360, 362, 5365, 5364, 5779, 5340, 240, 243, 3668, 413, 411, 2594, + 254, 252, 3703, + 395, 393, 2635, 245, 244, 2972, 2971, 2174, 2172, 379, 380, 2979, 2978, 2176, 2175, 243, 245, + 5372, 4657, 4658, + 4726, 337, 338, 5363, 4632, 4633, 4753, 244, 248, 5915, 1629, 1628, 2486, 255, 256, 5913, 1642, + 1640, 2632, 247, + 246, 2223, 4361, 4360, 4682, 346, 345, 2290, 4334, 4333, 4681, 248, 247, 5099, 3811, 3810, + 2297, 333, 334, 5053, + 3756, 3755, 2222, 246, 249, 2069, 3407, 3406, 5331, 316, 315, 2111, 3362, 3361, 5344, 250, 251, + 5538, 5167, 4683, + 2123, 300, 301, 5522, 5132, 4689, 2068, 249, 254, 5925, 4923, 4924, 5457, 304, 305, 5922, 4892, + 4893, 5476, 253, + 253, 3214, 3212, 2032, 2033, 313, 314, 3239, 3238, 2022, 2023, 252, 255, 3299, 979, 978, 2036, + 266, 265, 3231, + 1057, 1056, 2041, 257, 257, 5926, 5793, 5794, 5898, 298, 299, 5923, 5767, 5768, 5912, 256, 259, + 4769, 3953, 3954, + 4251, 309, 310, 4712, 3902, 3904, 4215, 258, 258, 4214, 4909, 4910, 5834, 328, 327, 4243, 4887, + 4888, 5837, 260, + 261, 3994, 4651, 4652, 5420, 373, 372, 4023, 4628, 4629, 5352, 262, 263, 5489, 5251, 5252, + 4033, 348, 349, 5448, + 5216, 5217, 3995, 261, 266, 3464, 3463, 4634, 2872, 273, 275, 3485, 3484, 4677, 2847, 264, 264, + 2846, 2969, 2186, + 2185, 383, 382, 2925, 3007, 2180, 2179, 265, 267, 2161, 986, 985, 5028, 302, 300, 2124, 1127, + 1126, 5031, 269, + 268, 3576, 2000, 1999, 2170, 378, 379, 3578, 2006, 2005, 2160, 267, 269, 3467, 3466, 4448, + 3588, 277, 278, 3462, + 3460, 4449, 3577, 268, 270, 2727, 3107, 3106, 5026, 341, 339, 2689, 3140, 3139, 5019, 271, 272, + 3487, 3486, 4905, + 2703, 279, 281, 3456, 3455, 4891, 2728, 270, 273, 2871, 4118, 4117, 5319, 331, 330, 2833, 4145, + 4144, 5321, 274, + 276, 2318, 1178, 1177, 5494, 335, 333, 2298, 1319, 1318, 5492, 278, 277, 3587, 1832, 1831, + 2278, 312, 313, 3584, + 1838, 1837, 2319, 276, 279, 2702, 3215, 2037, 2038, 320, 319, 2781, 3298, 2020, 2021, 280, 282, + 2999, 4968, 4969, + 5598, 359, 357, 2967, 4995, 4996, 5599, 283, 285, 3269, 4538, 4539, 5349, 355, 354, 3217, 4558, + 4559, 5402, 286, + 290, 3598, 3596, 4443, 3438, 291, 293, 3603, 3602, 4439, 3451, 288, 289, 4277, 1534, 1535, + 5702, 311, 309, 4250, + 1660, 1661, 5701, 290, 292, 4062, 1366, 1367, 5603, 350, 348, 4032, 1492, 1493, 5601, 293, 294, + 2592, 431, 429, + 3667, 365, 363, 2609, 425, 423, 3682, 296, 295, 4000, 3998, 2798, 2589, 318, 320, 4006, 4005, + 2788, 2591, 294, + 296, 5924, 5012, 5013, 5523, 301, 302, 5927, 4973, 4974, 5542, 295, 298, 5899, 1810, 1808, + 3662, 340, 341, 5905 ] private def ClayworthSurface_face_edge_data_chunk4 : Array (Fin 6048) := #[ - 1797, 1796, 3697, 297, 297, 4034, 787, 786, 2800, 368, 367, 4012, 865, 864, 2804, 299, 304, 5456, 3759, 3758, - 2832, 330, 332, 5472, 3789, 3788, 2882, 303, 303, 2883, 935, 934, 4686, 344, 343, 2918, 794, 792, 4688, 305, - 306, 3008, 1828, 1829, 5557, 377, 376, 3039, 1702, 1703, 5558, 308, 307, 5046, 5045, 5218, 2968, 357, 358, 5076, - 5075, 5238, 3009, 306, 312, 2277, 4031, 2786, 2787, 370, 369, 2246, 3996, 2801, 2802, 314, 317, 2387, 2386, 4581, - 2085, 366, 368, 2355, 2354, 4544, 2112, 315, 318, 2590, 1670, 1669, 2774, 322, 321, 2570, 1664, 1663, 2782, 319, - 322, 2773, 602, 601, 5428, 338, 336, 2739, 743, 742, 5426, 323, 323, 2367, 2366, 4497, 2627, 342, 344, 2361, - 2359, 4468, 2571, 321, 326, 2536, 2534, 4467, 2335, 375, 377, 2529, 2528, 4479, 2348, 324, 325, 3294, 1870, 1871, - 5838, 353, 351, 3276, 1996, 1997, 5841, 326, 331, 5320, 1965, 1964, 3700, 361, 360, 5309, 1978, 1976, 3683, 332, - 335, 5358, 4542, 4543, 5068, 364, 365, 5373, 4563, 4564, 5054, 334, 337, 4725, 5134, 5133, 2688, 339, 340, 4746, - 5155, 5154, 2738, 336, 342, 2626, 1496, 1495, 2926, 382, 381, 2639, 1502, 1501, 2917, 343, 347, 2385, 2384, 4990, - 2247, 369, 371, 2364, 2363, 4972, 2291, 345, 352, 5514, 3900, 3901, 3218, 354, 356, 5555, 3927, 3928, 3277, 351, - 361, 4252, 595, 594, 2656, 371, 370, 4231, 673, 672, 2660, 362, 364, 4218, 3105, 2654, 2638, 381, 383, 4223, - 3155, 2644, 2608, 363, 366, 2084, 3891, 2657, 2658, 380, 378, 2169, 3937, 2642, 2643, 367, 385, 2169, 2170, 2932, - 2931, 388, 387, 2063, 2064, 2937, 2936, 386, 384, 3707, 944, 943, 3952, 484, 483, 3695, 875, 873, 3937, 385, - 386, 2710, 2711, 3961, 3681, 423, 424, 2680, 2682, 3960, 3706, 384, 389, 2383, 2381, 5461, 4258, 565, 566, 2375, - 2374, 5486, 4229, 387, 388, 2248, 1939, 1940, 3196, 410, 408, 2281, 1848, 1849, 3192, 389, 392, 2370, 2368, 4731, - 4042, 519, 521, 2377, 2376, 4766, 4011, 390, 391, 2082, 1771, 1772, 2933, 401, 400, 2171, 1680, 1681, 2935, 392, - 390, 2226, 2228, 3194, 3193, 404, 403, 2277, 2278, 3182, 3181, 391, 394, 2060, 2062, 2928, 2499, 396, 398, 2092, - 2093, 2930, 2634, 393, 395, 3737, 3736, 5475, 4630, 502, 503, 3745, 3743, 5458, 4660, 394, 397, 2781, 2782, 3963, - 3962, 415, 414, 2683, 2685, 3968, 3967, 398, 396, 2500, 1328, 1327, 3291, 517, 516, 2505, 1259, 1257, 3298, 397, - 399, 3841, 881, 879, 3669, 548, 547, 3843, 920, 919, 3575, 400, 401, 3735, 3734, 5777, 3854, 417, 419, 3742, - 3740, 5783, 3840, 399, 402, 3665, 752, 751, 4063, 481, 480, 3646, 683, 681, 4031, 403, 404, 2854, 2855, 4178, - 3666, 429, 430, 2824, 2826, 4176, 3664, 402, 406, 2925, 2926, 4180, 4179, 421, 420, 2827, 2828, 4185, 4184, 407, - 405, 2493, 1136, 1135, 3042, 568, 567, 2491, 1067, 1065, 3007, 406, 407, 2238, 2239, 3184, 2593, 411, 412, 2229, - 2231, 3191, 2492, 405, 409, 5226, 689, 687, 3702, 550, 551, 5239, 728, 727, 3572, 408, 410, 5116, 5115, 5761 + 1797, 1796, 3697, 297, 297, 4034, 787, 786, 2800, 368, 367, 4012, 865, 864, 2804, 299, 304, + 5456, 3759, 3758, + 2832, 330, 332, 5472, 3789, 3788, 2882, 303, 303, 2883, 935, 934, 4686, 344, 343, 2918, 794, + 792, 4688, 305, + 306, 3008, 1828, 1829, 5557, 377, 376, 3039, 1702, 1703, 5558, 308, 307, 5046, 5045, 5218, + 2968, 357, 358, 5076, + 5075, 5238, 3009, 306, 312, 2277, 4031, 2786, 2787, 370, 369, 2246, 3996, 2801, 2802, 314, 317, + 2387, 2386, 4581, + 2085, 366, 368, 2355, 2354, 4544, 2112, 315, 318, 2590, 1670, 1669, 2774, 322, 321, 2570, 1664, + 1663, 2782, 319, + 322, 2773, 602, 601, 5428, 338, 336, 2739, 743, 742, 5426, 323, 323, 2367, 2366, 4497, 2627, + 342, 344, 2361, + 2359, 4468, 2571, 321, 326, 2536, 2534, 4467, 2335, 375, 377, 2529, 2528, 4479, 2348, 324, 325, + 3294, 1870, 1871, + 5838, 353, 351, 3276, 1996, 1997, 5841, 326, 331, 5320, 1965, 1964, 3700, 361, 360, 5309, 1978, + 1976, 3683, 332, + 335, 5358, 4542, 4543, 5068, 364, 365, 5373, 4563, 4564, 5054, 334, 337, 4725, 5134, 5133, + 2688, 339, 340, 4746, + 5155, 5154, 2738, 336, 342, 2626, 1496, 1495, 2926, 382, 381, 2639, 1502, 1501, 2917, 343, 347, + 2385, 2384, 4990, + 2247, 369, 371, 2364, 2363, 4972, 2291, 345, 352, 5514, 3900, 3901, 3218, 354, 356, 5555, 3927, + 3928, 3277, 351, + 361, 4252, 595, 594, 2656, 371, 370, 4231, 673, 672, 2660, 362, 364, 4218, 3105, 2654, 2638, + 381, 383, 4223, + 3155, 2644, 2608, 363, 366, 2084, 3891, 2657, 2658, 380, 378, 2169, 3937, 2642, 2643, 367, 385, + 2169, 2170, 2932, + 2931, 388, 387, 2063, 2064, 2937, 2936, 386, 384, 3707, 944, 943, 3952, 484, 483, 3695, 875, + 873, 3937, 385, + 386, 2710, 2711, 3961, 3681, 423, 424, 2680, 2682, 3960, 3706, 384, 389, 2383, 2381, 5461, + 4258, 565, 566, 2375, + 2374, 5486, 4229, 387, 388, 2248, 1939, 1940, 3196, 410, 408, 2281, 1848, 1849, 3192, 389, 392, + 2370, 2368, 4731, + 4042, 519, 521, 2377, 2376, 4766, 4011, 390, 391, 2082, 1771, 1772, 2933, 401, 400, 2171, 1680, + 1681, 2935, 392, + 390, 2226, 2228, 3194, 3193, 404, 403, 2277, 2278, 3182, 3181, 391, 394, 2060, 2062, 2928, + 2499, 396, 398, 2092, + 2093, 2930, 2634, 393, 395, 3737, 3736, 5475, 4630, 502, 503, 3745, 3743, 5458, 4660, 394, 397, + 2781, 2782, 3963, + 3962, 415, 414, 2683, 2685, 3968, 3967, 398, 396, 2500, 1328, 1327, 3291, 517, 516, 2505, 1259, + 1257, 3298, 397, + 399, 3841, 881, 879, 3669, 548, 547, 3843, 920, 919, 3575, 400, 401, 3735, 3734, 5777, 3854, + 417, 419, 3742, + 3740, 5783, 3840, 399, 402, 3665, 752, 751, 4063, 481, 480, 3646, 683, 681, 4031, 403, 404, + 2854, 2855, 4178, + 3666, 429, 430, 2824, 2826, 4176, 3664, 402, 406, 2925, 2926, 4180, 4179, 421, 420, 2827, 2828, + 4185, 4184, 407, + 405, 2493, 1136, 1135, 3042, 568, 567, 2491, 1067, 1065, 3007, 406, 407, 2238, 2239, 3184, + 2593, 411, 412, 2229, + 2231, 3191, 2492, 405, 409, 5226, 689, 687, 3702, 550, 551, 5239, 728, 727, 3572, 408, 410, + 5116, 5115, 5761 ] private def ClayworthSurface_face_edge_data_chunk5 : Array (Fin 6048) := #[ - 5259, 427, 428, 5123, 5122, 5764, 5225, 409, 413, 5118, 4750, 4752, 4886, 541, 542, 5125, 4727, 4729, 4898, 412, - 415, 2844, 1603, 1604, 4181, 428, 426, 2927, 1512, 1513, 4183, 416, 416, 3482, 3481, 5058, 3252, 477, 479, 3475, - 3474, 5080, 3232, 414, 418, 2783, 1344, 1345, 3966, 422, 421, 2700, 1435, 1436, 3964, 419, 417, 3855, 1265, 1263, - 2588, 455, 453, 3850, 1304, 1303, 2629, 418, 422, 3470, 3468, 5527, 3018, 474, 476, 3477, 3476, 5552, 2985, 420, - 425, 3739, 3738, 5095, 4967, 499, 500, 3732, 3730, 5060, 4981, 424, 427, 5260, 1073, 1071, 2611, 451, 452, 5267, - 1112, 1111, 2630, 426, 431, 5120, 5119, 5541, 4540, 544, 545, 5114, 5112, 5525, 4566, 430, 434, 3867, 3865, 5795, - 3772, 552, 554, 3873, 3872, 5778, 3823, 432, 433, 3047, 961, 960, 2028, 473, 472, 2978, 1060, 1059, 2026, 434, - 432, 3822, 1615, 1613, 2439, 443, 442, 3833, 1647, 1646, 2333, 433, 435, 2960, 2961, 2018, 2016, 572, 571, 2986, - 2987, 2021, 2019, 436, 437, 3884, 3883, 5640, 3109, 529, 530, 3870, 3869, 5626, 3150, 435, 439, 3430, 4987, 4071, - 2141, 525, 526, 3359, 4957, 4076, 2066, 438, 440, 5183, 1479, 1478, 2330, 447, 448, 5174, 1447, 1445, 2476, 439, - 438, 2067, 4541, 3052, 3051, 538, 537, 2134, 4524, 3050, 3049, 440, 443, 4359, 4583, 3054, 2279, 492, 493, 4335, - 4527, 3059, 2224, 441, 441, 2225, 4966, 4070, 3808, 508, 507, 2267, 4958, 4069, 3832, 442, 445, 3223, 3224, 2190, - 2188, 505, 506, 3230, 3231, 2179, 2178, 444, 446, 5205, 5204, 5732, 4120, 496, 497, 5198, 5197, 5722, 4153, 445, - 449, 5208, 5207, 5770, 5141, 490, 491, 5201, 5199, 5769, 5175, 448, 447, 3262, 1153, 1152, 2192, 458, 457, 3238, - 1252, 1251, 2197, 449, 451, 3178, 3179, 4502, 4048, 501, 502, 3087, 3089, 4506, 3993, 450, 450, 3992, 4121, 4930, - 4929, 520, 519, 4041, 4101, 4937, 4936, 452, 455, 4174, 4175, 4928, 4265, 540, 541, 4103, 4104, 4939, 4213, 454, - 454, 3110, 3111, 4501, 3955, 564, 565, 3084, 3086, 4500, 3849, 453, 456, 2852, 2964, 2031, 2029, 575, 574, 2880, - 3046, 2024, 2022, 457, 458, 3619, 3618, 5627, 2893, 465, 467, 3611, 3610, 5650, 2853, 456, 459, 2317, 1168, 1167, - 3318, 494, 492, 2280, 1316, 1314, 3322, 461, 460, 3558, 1946, 1944, 2325, 570, 572, 3569, 2004, 2003, 2316, 459, - 461, 3616, 3614, 4818, 3510, 469, 470, 3609, 3607, 4817, 3559, 460, 462, 2748, 4724, 3315, 3316, 533, 531, 2687, - 4747, 3305, 3306, 463, 464, 3613, 3612, 5740, 2709, 471, 473, 3606, 3605, 5723, 2749, 462, 465, 2892, 4612, 4285, - 3790, 523, 522, 2831, 4631, 4286, 3792, 466, 469, 3509, 1778, 1776, 2122, 504, 505, 3527, 1836, 1835, 2163, 468, - 468, 2162, 976, 975, 4291, 527, 525, 2142, 1123, 1122, 4289, 470, 471, 2708, 3221, 2194, 2193, 512, 511, 2736, - 3259, 2177, 2176, 472, 474, 3017, 4317, 4585, 4584, 551, 549, 2965, 4337, 4587, 4586, 475, 477, 3251, 3351, 4861, - 3842, 547, 546, 3219, 3358, 4855, 3925, 478, 481, 3393, 1357, 1358, 4862, 503, 501, 3365, 1488, 1490, 4865, 482 + 5259, 427, 428, 5123, 5122, 5764, 5225, 409, 413, 5118, 4750, 4752, 4886, 541, 542, 5125, 4727, + 4729, 4898, 412, + 415, 2844, 1603, 1604, 4181, 428, 426, 2927, 1512, 1513, 4183, 416, 416, 3482, 3481, 5058, + 3252, 477, 479, 3475, + 3474, 5080, 3232, 414, 418, 2783, 1344, 1345, 3966, 422, 421, 2700, 1435, 1436, 3964, 419, 417, + 3855, 1265, 1263, + 2588, 455, 453, 3850, 1304, 1303, 2629, 418, 422, 3470, 3468, 5527, 3018, 474, 476, 3477, 3476, + 5552, 2985, 420, + 425, 3739, 3738, 5095, 4967, 499, 500, 3732, 3730, 5060, 4981, 424, 427, 5260, 1073, 1071, + 2611, 451, 452, 5267, + 1112, 1111, 2630, 426, 431, 5120, 5119, 5541, 4540, 544, 545, 5114, 5112, 5525, 4566, 430, 434, + 3867, 3865, 5795, + 3772, 552, 554, 3873, 3872, 5778, 3823, 432, 433, 3047, 961, 960, 2028, 473, 472, 2978, 1060, + 1059, 2026, 434, + 432, 3822, 1615, 1613, 2439, 443, 442, 3833, 1647, 1646, 2333, 433, 435, 2960, 2961, 2018, + 2016, 572, 571, 2986, + 2987, 2021, 2019, 436, 437, 3884, 3883, 5640, 3109, 529, 530, 3870, 3869, 5626, 3150, 435, 439, + 3430, 4987, 4071, + 2141, 525, 526, 3359, 4957, 4076, 2066, 438, 440, 5183, 1479, 1478, 2330, 447, 448, 5174, 1447, + 1445, 2476, 439, + 438, 2067, 4541, 3052, 3051, 538, 537, 2134, 4524, 3050, 3049, 440, 443, 4359, 4583, 3054, + 2279, 492, 493, 4335, + 4527, 3059, 2224, 441, 441, 2225, 4966, 4070, 3808, 508, 507, 2267, 4958, 4069, 3832, 442, 445, + 3223, 3224, 2190, + 2188, 505, 506, 3230, 3231, 2179, 2178, 444, 446, 5205, 5204, 5732, 4120, 496, 497, 5198, 5197, + 5722, 4153, 445, + 449, 5208, 5207, 5770, 5141, 490, 491, 5201, 5199, 5769, 5175, 448, 447, 3262, 1153, 1152, + 2192, 458, 457, 3238, + 1252, 1251, 2197, 449, 451, 3178, 3179, 4502, 4048, 501, 502, 3087, 3089, 4506, 3993, 450, 450, + 3992, 4121, 4930, + 4929, 520, 519, 4041, 4101, 4937, 4936, 452, 455, 4174, 4175, 4928, 4265, 540, 541, 4103, 4104, + 4939, 4213, 454, + 454, 3110, 3111, 4501, 3955, 564, 565, 3084, 3086, 4500, 3849, 453, 456, 2852, 2964, 2031, + 2029, 575, 574, 2880, + 3046, 2024, 2022, 457, 458, 3619, 3618, 5627, 2893, 465, 467, 3611, 3610, 5650, 2853, 456, 459, + 2317, 1168, 1167, + 3318, 494, 492, 2280, 1316, 1314, 3322, 461, 460, 3558, 1946, 1944, 2325, 570, 572, 3569, 2004, + 2003, 2316, 459, + 461, 3616, 3614, 4818, 3510, 469, 470, 3609, 3607, 4817, 3559, 460, 462, 2748, 4724, 3315, + 3316, 533, 531, 2687, + 4747, 3305, 3306, 463, 464, 3613, 3612, 5740, 2709, 471, 473, 3606, 3605, 5723, 2749, 462, 465, + 2892, 4612, 4285, + 3790, 523, 522, 2831, 4631, 4286, 3792, 466, 469, 3509, 1778, 1776, 2122, 504, 505, 3527, 1836, + 1835, 2163, 468, + 468, 2162, 976, 975, 4291, 527, 525, 2142, 1123, 1122, 4289, 470, 471, 2708, 3221, 2194, 2193, + 512, 511, 2736, + 3259, 2177, 2176, 472, 474, 3017, 4317, 4585, 4584, 551, 549, 2965, 4337, 4587, 4586, 475, 477, + 3251, 3351, 4861, + 3842, 547, 546, 3219, 3358, 4855, 3925, 478, 481, 3393, 1357, 1358, 4862, 503, 501, 3365, 1488, + 1490, 4865, 482 ] private def ClayworthSurface_face_edge_data_chunk6 : Array (Fin 6048) := #[ - 482, 3473, 3471, 4806, 3696, 483, 485, 3480, 3478, 4811, 3647, 480, 484, 4279, 1525, 1526, 4592, 542, 540, 4264, - 1656, 1657, 4590, 485, 487, 4208, 4209, 2785, 2433, 510, 512, 4230, 4231, 2787, 2435, 486, 488, 5203, 5202, 5872, - 4336, 493, 494, 5210, 5209, 5854, 4369, 487, 489, 3173, 769, 768, 2793, 560, 559, 3155, 868, 867, 2790, 491, - 490, 5142, 1783, 1781, 3137, 532, 533, 5156, 1815, 1814, 3172, 489, 495, 2900, 931, 930, 3056, 536, 535, 2920, - 784, 783, 3058, 497, 496, 4119, 4880, 3319, 2830, 522, 524, 4143, 4903, 3303, 2899, 495, 498, 3024, 1824, 1825, - 4504, 569, 568, 3041, 1693, 1694, 4505, 500, 499, 3348, 3349, 4863, 2966, 549, 550, 3391, 3392, 4854, 3025, 498, - 504, 2121, 4283, 2789, 2788, 562, 561, 2090, 4212, 2795, 2794, 506, 509, 2543, 2542, 5596, 2241, 558, 560, 2511, - 2510, 5579, 2268, 507, 510, 2434, 1500, 1499, 2776, 514, 513, 2414, 1442, 1440, 2737, 511, 515, 2523, 2521, 4829, - 2471, 534, 536, 2517, 2515, 4853, 2415, 513, 514, 2775, 592, 591, 4075, 530, 528, 2756, 740, 738, 4073, 515, - 518, 2380, 2378, 4836, 2490, 567, 569, 2373, 2371, 4828, 2504, 516, 517, 3292, 1861, 1862, 4938, 545, 543, 3260, - 1992, 1994, 4942, 518, 523, 3791, 1983, 1982, 3436, 553, 552, 3773, 1951, 1949, 3531, 524, 527, 3861, 3860, 5578, - 3383, 556, 557, 3886, 3885, 5588, 3360, 526, 529, 3108, 4615, 4292, 2686, 531, 532, 3138, 4679, 4287, 2755, 528, - 534, 2470, 1609, 1608, 2881, 574, 573, 2483, 1668, 1667, 2919, 535, 539, 2541, 2540, 5864, 2091, 561, 563, 2520, - 2519, 5853, 2135, 537, 544, 4318, 4320, 4593, 3220, 546, 548, 4390, 4391, 4589, 3261, 543, 553, 4067, 577, 576, - 2649, 563, 562, 4005, 676, 675, 2646, 554, 556, 3382, 3988, 2641, 2482, 573, 575, 3346, 4012, 2643, 2452, 555, - 558, 2240, 3990, 2651, 2650, 571, 570, 2326, 4066, 2645, 2644, 559, 577, 1677, 1676, 3713, 4393, 581, 579, 1560, - 1559, 3768, 4404, 578, 578, 3489, 3488, 4195, 2742, 615, 616, 3483, 3482, 4183, 2648, 576, 581, 1425, 1423, 2566, - 4661, 600, 602, 1459, 1458, 2497, 4654, 580, 580, 1905, 1906, 5385, 4026, 756, 758, 1898, 1899, 5351, 4047, 579, - 584, 1893, 1892, 3905, 4259, 711, 713, 1901, 1900, 3848, 4253, 582, 583, 1579, 1578, 2410, 4406, 593, 592, 1679, - 1678, 2342, 4403, 584, 582, 1398, 1399, 4775, 4774, 596, 595, 1454, 1455, 4772, 4771, 583, 585, 1843, 821, 819, - 2754, 604, 603, 1799, 830, 828, 2741, 586, 587, 1558, 1557, 4402, 1699, 588, 590, 1593, 1592, 4395, 1842, 585, - 586, 5153, 5152, 4605, 4606, 695, 694, 5122, 5121, 4602, 4603, 587, 589, 3523, 3524, 4199, 4200, 608, 607, 3478, - 3479, 4196, 4197, 590, 588, 1700, 1034, 1033, 4157, 709, 708, 1705, 1025, 1023, 4147, 589, 593, 5128, 5129, 4601, - 4148, 609, 610, 5124, 5125, 4592, 4074, 591, 596, 3589, 3590, 3980, 2779, 621, 622, 3599, 3600, 3971, 2655, 594, - 598, 3583, 3582, 3716, 3976, 614, 612, 3602, 3601, 3817, 3985, 599, 597, 1692, 1241, 1240, 4494, 760, 759, 1690 + 482, 3473, 3471, 4806, 3696, 483, 485, 3480, 3478, 4811, 3647, 480, 484, 4279, 1525, 1526, + 4592, 542, 540, 4264, + 1656, 1657, 4590, 485, 487, 4208, 4209, 2785, 2433, 510, 512, 4230, 4231, 2787, 2435, 486, 488, + 5203, 5202, 5872, + 4336, 493, 494, 5210, 5209, 5854, 4369, 487, 489, 3173, 769, 768, 2793, 560, 559, 3155, 868, + 867, 2790, 491, + 490, 5142, 1783, 1781, 3137, 532, 533, 5156, 1815, 1814, 3172, 489, 495, 2900, 931, 930, 3056, + 536, 535, 2920, + 784, 783, 3058, 497, 496, 4119, 4880, 3319, 2830, 522, 524, 4143, 4903, 3303, 2899, 495, 498, + 3024, 1824, 1825, + 4504, 569, 568, 3041, 1693, 1694, 4505, 500, 499, 3348, 3349, 4863, 2966, 549, 550, 3391, 3392, + 4854, 3025, 498, + 504, 2121, 4283, 2789, 2788, 562, 561, 2090, 4212, 2795, 2794, 506, 509, 2543, 2542, 5596, + 2241, 558, 560, 2511, + 2510, 5579, 2268, 507, 510, 2434, 1500, 1499, 2776, 514, 513, 2414, 1442, 1440, 2737, 511, 515, + 2523, 2521, 4829, + 2471, 534, 536, 2517, 2515, 4853, 2415, 513, 514, 2775, 592, 591, 4075, 530, 528, 2756, 740, + 738, 4073, 515, + 518, 2380, 2378, 4836, 2490, 567, 569, 2373, 2371, 4828, 2504, 516, 517, 3292, 1861, 1862, + 4938, 545, 543, 3260, + 1992, 1994, 4942, 518, 523, 3791, 1983, 1982, 3436, 553, 552, 3773, 1951, 1949, 3531, 524, 527, + 3861, 3860, 5578, + 3383, 556, 557, 3886, 3885, 5588, 3360, 526, 529, 3108, 4615, 4292, 2686, 531, 532, 3138, 4679, + 4287, 2755, 528, + 534, 2470, 1609, 1608, 2881, 574, 573, 2483, 1668, 1667, 2919, 535, 539, 2541, 2540, 5864, + 2091, 561, 563, 2520, + 2519, 5853, 2135, 537, 544, 4318, 4320, 4593, 3220, 546, 548, 4390, 4391, 4589, 3261, 543, 553, + 4067, 577, 576, + 2649, 563, 562, 4005, 676, 675, 2646, 554, 556, 3382, 3988, 2641, 2482, 573, 575, 3346, 4012, + 2643, 2452, 555, + 558, 2240, 3990, 2651, 2650, 571, 570, 2326, 4066, 2645, 2644, 559, 577, 1677, 1676, 3713, + 4393, 581, 579, 1560, + 1559, 3768, 4404, 578, 578, 3489, 3488, 4195, 2742, 615, 616, 3483, 3482, 4183, 2648, 576, 581, + 1425, 1423, 2566, + 4661, 600, 602, 1459, 1458, 2497, 4654, 580, 580, 1905, 1906, 5385, 4026, 756, 758, 1898, 1899, + 5351, 4047, 579, + 584, 1893, 1892, 3905, 4259, 711, 713, 1901, 1900, 3848, 4253, 582, 583, 1579, 1578, 2410, + 4406, 593, 592, 1679, + 1678, 2342, 4403, 584, 582, 1398, 1399, 4775, 4774, 596, 595, 1454, 1455, 4772, 4771, 583, 585, + 1843, 821, 819, + 2754, 604, 603, 1799, 830, 828, 2741, 586, 587, 1558, 1557, 4402, 1699, 588, 590, 1593, 1592, + 4395, 1842, 585, + 586, 5153, 5152, 4605, 4606, 695, 694, 5122, 5121, 4602, 4603, 587, 589, 3523, 3524, 4199, + 4200, 608, 607, 3478, + 3479, 4196, 4197, 590, 588, 1700, 1034, 1033, 4157, 709, 708, 1705, 1025, 1023, 4147, 589, 593, + 5128, 5129, 4601, + 4148, 609, 610, 5124, 5125, 4592, 4074, 591, 596, 3589, 3590, 3980, 2779, 621, 622, 3599, 3600, + 3971, 2655, 594, + 598, 3583, 3582, 3716, 3976, 614, 612, 3602, 3601, 3817, 3985, 599, 597, 1692, 1241, 1240, + 4494, 760, 759, 1690 ] private def ClayworthSurface_face_edge_data_chunk7 : Array (Fin 6048) := #[ - 1202, 1201, 4498, 598, 599, 1412, 1411, 4570, 1798, 603, 605, 1403, 1401, 4561, 1691, 597, 600, 4662, 5892, 5610, - 5473, 619, 618, 4663, 5889, 5603, 5427, 601, 604, 5792, 3853, 3852, 5613, 734, 733, 5784, 3948, 3947, 5611, 605, - 606, 2838, 2837, 3418, 4833, 671, 670, 2831, 2830, 3320, 4811, 607, 608, 3595, 2100, 2101, 3986, 618, 620, 3584, - 2033, 2034, 3970, 606, 611, 3527, 2188, 2189, 4176, 613, 614, 3499, 2256, 2257, 4201, 610, 609, 4149, 1070, 1068, - 1793, 647, 646, 4173, 1037, 1035, 1836, 611, 613, 2826, 2825, 5091, 4456, 666, 668, 2833, 2832, 5029, 4439, 612, - 617, 5156, 3316, 3314, 4585, 691, 692, 5138, 3374, 3373, 4607, 616, 615, 2743, 872, 870, 1797, 623, 621, 2780, - 941, 939, 1815, 617, 619, 5474, 1295, 1293, 1817, 644, 643, 5488, 1238, 1236, 1838, 620, 623, 5905, 5026, 5025, - 4969, 736, 737, 5895, 5063, 5061, 4994, 622, 626, 4088, 4089, 6019, 5145, 744, 746, 4112, 4113, 6025, 5131, 624, - 625, 4466, 1174, 1173, 1524, 665, 664, 4444, 1336, 1335, 1522, 626, 624, 5130, 2137, 1968, 1969, 635, 634, 5181, - 2126, 1854, 1856, 625, 627, 2898, 796, 795, 1967, 638, 636, 2885, 779, 777, 2011, 629, 628, 4431, 4430, 1514, - 1512, 763, 764, 4438, 4437, 1517, 1515, 627, 629, 4097, 4096, 5688, 5254, 721, 722, 4111, 4110, 5675, 5224, 628, - 630, 1562, 5015, 5094, 5261, 730, 729, 1638, 5007, 5092, 5228, 632, 631, 4362, 3826, 3827, 1648, 717, 718, 4347, - 3820, 3821, 1563, 630, 632, 5765, 2282, 1851, 1852, 639, 640, 5754, 2293, 2007, 2008, 631, 635, 5010, 5009, 5262, - 1456, 684, 685, 5006, 5005, 5236, 1396, 633, 633, 1397, 3423, 3424, 5177, 700, 699, 1443, 3419, 3420, 5182, 634, - 638, 5445, 5444, 5830, 5947, 688, 689, 5451, 5450, 5813, 5934, 637, 637, 4795, 3403, 1361, 1360, 697, 698, 4812, - 3394, 1351, 1350, 636, 641, 5439, 5438, 5985, 5900, 682, 683, 5453, 5452, 5990, 5893, 640, 639, 4363, 973, 972, - 1364, 650, 649, 4373, 1093, 1092, 1369, 641, 642, 4262, 5823, 5822, 5431, 712, 711, 4260, 5810, 5809, 5487, 643, - 644, 5187, 3062, 3061, 4226, 693, 695, 5192, 3118, 3117, 4261, 642, 645, 4039, 5194, 4933, 4079, 757, 756, 4025, - 5190, 4943, 4172, 646, 647, 5917, 4692, 4691, 4010, 732, 734, 5921, 4734, 4733, 4040, 645, 648, 3644, 4428, 1527, - 1525, 767, 766, 3570, 4463, 1520, 1519, 649, 650, 2676, 2675, 5676, 3686, 657, 659, 2697, 2696, 5697, 3645, 648, - 651, 1500, 995, 993, 4365, 686, 684, 1457, 1031, 1030, 4389, 653, 652, 2915, 2624, 2625, 1509, 762, 763, 2927, - 2630, 2631, 1499, 651, 653, 2679, 2677, 2992, 2867, 661, 662, 2673, 2671, 2993, 2916, 652, 656, 2699, 2698, 5820, - 3491, 663, 665, 2667, 2666, 5812, 3515, 654, 654, 3514, 3933, 3932, 4366, 725, 723, 3477, 3924, 3923, 4287, 655, - 657, 3685, 5408, 5407, 5119, 715, 714, 3622, 5401, 5400, 5154, 658, 661, 2866, 2468, 2469, 1623, 696, 697, 2884, - 2474, 2475, 1669, 660, 660, 1670, 1196, 1195, 5540, 719, 717, 1649, 1220, 1219, 5554, 662, 663, 3490, 3151, 1365 + 1202, 1201, 4498, 598, 599, 1412, 1411, 4570, 1798, 603, 605, 1403, 1401, 4561, 1691, 597, 600, + 4662, 5892, 5610, + 5473, 619, 618, 4663, 5889, 5603, 5427, 601, 604, 5792, 3853, 3852, 5613, 734, 733, 5784, 3948, + 3947, 5611, 605, + 606, 2838, 2837, 3418, 4833, 671, 670, 2831, 2830, 3320, 4811, 607, 608, 3595, 2100, 2101, + 3986, 618, 620, 3584, + 2033, 2034, 3970, 606, 611, 3527, 2188, 2189, 4176, 613, 614, 3499, 2256, 2257, 4201, 610, 609, + 4149, 1070, 1068, + 1793, 647, 646, 4173, 1037, 1035, 1836, 611, 613, 2826, 2825, 5091, 4456, 666, 668, 2833, 2832, + 5029, 4439, 612, + 617, 5156, 3316, 3314, 4585, 691, 692, 5138, 3374, 3373, 4607, 616, 615, 2743, 872, 870, 1797, + 623, 621, 2780, + 941, 939, 1815, 617, 619, 5474, 1295, 1293, 1817, 644, 643, 5488, 1238, 1236, 1838, 620, 623, + 5905, 5026, 5025, + 4969, 736, 737, 5895, 5063, 5061, 4994, 622, 626, 4088, 4089, 6019, 5145, 744, 746, 4112, 4113, + 6025, 5131, 624, + 625, 4466, 1174, 1173, 1524, 665, 664, 4444, 1336, 1335, 1522, 626, 624, 5130, 2137, 1968, + 1969, 635, 634, 5181, + 2126, 1854, 1856, 625, 627, 2898, 796, 795, 1967, 638, 636, 2885, 779, 777, 2011, 629, 628, + 4431, 4430, 1514, + 1512, 763, 764, 4438, 4437, 1517, 1515, 627, 629, 4097, 4096, 5688, 5254, 721, 722, 4111, 4110, + 5675, 5224, 628, + 630, 1562, 5015, 5094, 5261, 730, 729, 1638, 5007, 5092, 5228, 632, 631, 4362, 3826, 3827, + 1648, 717, 718, 4347, + 3820, 3821, 1563, 630, 632, 5765, 2282, 1851, 1852, 639, 640, 5754, 2293, 2007, 2008, 631, 635, + 5010, 5009, 5262, + 1456, 684, 685, 5006, 5005, 5236, 1396, 633, 633, 1397, 3423, 3424, 5177, 700, 699, 1443, 3419, + 3420, 5182, 634, + 638, 5445, 5444, 5830, 5947, 688, 689, 5451, 5450, 5813, 5934, 637, 637, 4795, 3403, 1361, + 1360, 697, 698, 4812, + 3394, 1351, 1350, 636, 641, 5439, 5438, 5985, 5900, 682, 683, 5453, 5452, 5990, 5893, 640, 639, + 4363, 973, 972, + 1364, 650, 649, 4373, 1093, 1092, 1369, 641, 642, 4262, 5823, 5822, 5431, 712, 711, 4260, 5810, + 5809, 5487, 643, + 644, 5187, 3062, 3061, 4226, 693, 695, 5192, 3118, 3117, 4261, 642, 645, 4039, 5194, 4933, + 4079, 757, 756, 4025, + 5190, 4943, 4172, 646, 647, 5917, 4692, 4691, 4010, 732, 734, 5921, 4734, 4733, 4040, 645, 648, + 3644, 4428, 1527, + 1525, 767, 766, 3570, 4463, 1520, 1519, 649, 650, 2676, 2675, 5676, 3686, 657, 659, 2697, 2696, + 5697, 3645, 648, + 651, 1500, 995, 993, 4365, 686, 684, 1457, 1031, 1030, 4389, 653, 652, 2915, 2624, 2625, 1509, + 762, 763, 2927, + 2630, 2631, 1499, 651, 653, 2679, 2677, 2992, 2867, 661, 662, 2673, 2671, 2993, 2916, 652, 656, + 2699, 2698, 5820, + 3491, 663, 665, 2667, 2666, 5812, 3515, 654, 654, 3514, 3933, 3932, 4366, 725, 723, 3477, 3924, + 3923, 4287, 655, + 657, 3685, 5408, 5407, 5119, 715, 714, 3622, 5401, 5400, 5154, 658, 661, 2866, 2468, 2469, + 1623, 696, 697, 2884, + 2474, 2475, 1669, 660, 660, 1670, 1196, 1195, 5540, 719, 717, 1649, 1220, 1219, 5554, 662, 663, + 3490, 3151, 1365 ] private def ClayworthSurface_face_edge_data_chunk8 : Array (Fin 6048) := #[ - 1366, 704, 703, 3567, 3142, 1348, 1349, 664, 666, 4455, 5514, 5577, 5425, 742, 741, 4426, 5515, 5576, 5434, 667, - 671, 4319, 4318, 4540, 4072, 738, 739, 4324, 4323, 4537, 4084, 669, 673, 4230, 2193, 2195, 5764, 694, 693, 4225, - 2309, 2310, 5780, 674, 674, 2829, 2827, 2985, 2647, 675, 677, 2836, 2834, 2980, 2661, 672, 676, 4006, 2038, 2039, - 5785, 733, 732, 4009, 2153, 2154, 5756, 677, 680, 5447, 5446, 5580, 5532, 685, 686, 5443, 5442, 5581, 5551, 679, - 678, 1965, 815, 813, 2924, 749, 747, 1983, 809, 807, 2887, 680, 679, 4022, 4021, 3661, 1962, 702, 704, 4062, - 4061, 3699, 1964, 678, 682, 5901, 2448, 2446, 2921, 724, 725, 5888, 2436, 2435, 2786, 681, 688, 5948, 3804, 3802, - 3621, 714, 716, 5928, 3793, 3792, 3701, 687, 690, 4464, 2466, 2465, 4946, 761, 760, 4493, 2347, 2346, 4947, 692, - 691, 4317, 4316, 4762, 4427, 741, 743, 4322, 4321, 4695, 4465, 690, 696, 1622, 4034, 3697, 3698, 754, 753, 1589, - 4018, 3648, 3650, 698, 701, 1745, 1744, 4582, 1414, 750, 752, 1711, 1709, 4562, 1444, 699, 702, 1963, 2318, 2319, - 3561, 706, 705, 1942, 2312, 2313, 3568, 703, 707, 1723, 1721, 3045, 2002, 726, 728, 1717, 1715, 3012, 1943, 705, - 709, 4850, 2503, 2502, 5844, 737, 735, 4837, 2622, 2621, 5843, 710, 710, 1904, 1902, 3011, 1689, 759, 761, 1897, - 1895, 3023, 1704, 708, 715, 5120, 2592, 2591, 2789, 745, 744, 5146, 2604, 2602, 2888, 716, 719, 4095, 4093, 4546, - 4384, 748, 749, 4099, 4098, 4545, 4348, 718, 721, 5253, 5329, 5328, 3476, 723, 724, 5212, 5322, 5321, 3525, 720, - 726, 2001, 2155, 2157, 3571, 766, 765, 2015, 2162, 2163, 3573, 727, 731, 1742, 1741, 5597, 1590, 753, 755, 1720, - 1719, 5587, 1639, 729, 736, 4968, 3164, 3165, 4797, 739, 740, 4971, 3065, 3066, 4838, 735, 748, 4274, 3949, 3444, - 2014, 765, 767, 4279, 3952, 3435, 1982, 747, 750, 1413, 3167, 3166, 3449, 764, 762, 1508, 3173, 3172, 3434, 751, - 769, 1508, 1509, 4394, 4395, 773, 771, 1391, 1392, 4399, 4400, 770, 770, 3498, 3499, 3976, 2886, 807, 808, 3469, - 3470, 3966, 2792, 768, 773, 1592, 1591, 2568, 4781, 793, 794, 1627, 1626, 2484, 4778, 772, 772, 1737, 1738, 5751, - 4245, 949, 950, 1730, 1731, 5748, 4263, 771, 775, 1411, 1410, 2412, 4396, 785, 784, 1511, 1510, 2328, 4398, 776, - 774, 1566, 1567, 4779, 4553, 788, 787, 1622, 1623, 4770, 4570, 775, 776, 1725, 1724, 5214, 4044, 903, 905, 1733, - 1732, 5265, 4035, 774, 779, 3786, 3787, 4868, 4867, 886, 887, 3740, 3741, 4874, 4873, 778, 778, 1389, 1390, 4392, - 1867, 780, 782, 1424, 1425, 4393, 2010, 777, 781, 3567, 3568, 3981, 3980, 800, 798, 3471, 3472, 3978, 3977, 782, - 780, 1868, 1226, 1225, 3154, 901, 900, 1873, 1217, 1215, 3142, 781, 785, 3750, 3751, 4871, 3143, 801, 802, 3744, - 3745, 4862, 3057, 783, 788, 3594, 3595, 4200, 2923, 813, 814, 3592, 3593, 4188, 2799, 786, 791, 1580, 1579, 4771, - 1966, 795, 797, 1570, 1569, 4777, 1859, 789, 790, 3570, 3571, 4194, 4195, 806, 804, 3596, 3597, 4203, 4204, 791 + 1366, 704, 703, 3567, 3142, 1348, 1349, 664, 666, 4455, 5514, 5577, 5425, 742, 741, 4426, 5515, + 5576, 5434, 667, + 671, 4319, 4318, 4540, 4072, 738, 739, 4324, 4323, 4537, 4084, 669, 673, 4230, 2193, 2195, + 5764, 694, 693, 4225, + 2309, 2310, 5780, 674, 674, 2829, 2827, 2985, 2647, 675, 677, 2836, 2834, 2980, 2661, 672, 676, + 4006, 2038, 2039, + 5785, 733, 732, 4009, 2153, 2154, 5756, 677, 680, 5447, 5446, 5580, 5532, 685, 686, 5443, 5442, + 5581, 5551, 679, + 678, 1965, 815, 813, 2924, 749, 747, 1983, 809, 807, 2887, 680, 679, 4022, 4021, 3661, 1962, + 702, 704, 4062, + 4061, 3699, 1964, 678, 682, 5901, 2448, 2446, 2921, 724, 725, 5888, 2436, 2435, 2786, 681, 688, + 5948, 3804, 3802, + 3621, 714, 716, 5928, 3793, 3792, 3701, 687, 690, 4464, 2466, 2465, 4946, 761, 760, 4493, 2347, + 2346, 4947, 692, + 691, 4317, 4316, 4762, 4427, 741, 743, 4322, 4321, 4695, 4465, 690, 696, 1622, 4034, 3697, + 3698, 754, 753, 1589, + 4018, 3648, 3650, 698, 701, 1745, 1744, 4582, 1414, 750, 752, 1711, 1709, 4562, 1444, 699, 702, + 1963, 2318, 2319, + 3561, 706, 705, 1942, 2312, 2313, 3568, 703, 707, 1723, 1721, 3045, 2002, 726, 728, 1717, 1715, + 3012, 1943, 705, + 709, 4850, 2503, 2502, 5844, 737, 735, 4837, 2622, 2621, 5843, 710, 710, 1904, 1902, 3011, + 1689, 759, 761, 1897, + 1895, 3023, 1704, 708, 715, 5120, 2592, 2591, 2789, 745, 744, 5146, 2604, 2602, 2888, 716, 719, + 4095, 4093, 4546, + 4384, 748, 749, 4099, 4098, 4545, 4348, 718, 721, 5253, 5329, 5328, 3476, 723, 724, 5212, 5322, + 5321, 3525, 720, + 726, 2001, 2155, 2157, 3571, 766, 765, 2015, 2162, 2163, 3573, 727, 731, 1742, 1741, 5597, + 1590, 753, 755, 1720, + 1719, 5587, 1639, 729, 736, 4968, 3164, 3165, 4797, 739, 740, 4971, 3065, 3066, 4838, 735, 748, + 4274, 3949, 3444, + 2014, 765, 767, 4279, 3952, 3435, 1982, 747, 750, 1413, 3167, 3166, 3449, 764, 762, 1508, 3173, + 3172, 3434, 751, + 769, 1508, 1509, 4394, 4395, 773, 771, 1391, 1392, 4399, 4400, 770, 770, 3498, 3499, 3976, + 2886, 807, 808, 3469, + 3470, 3966, 2792, 768, 773, 1592, 1591, 2568, 4781, 793, 794, 1627, 1626, 2484, 4778, 772, 772, + 1737, 1738, 5751, + 4245, 949, 950, 1730, 1731, 5748, 4263, 771, 775, 1411, 1410, 2412, 4396, 785, 784, 1511, 1510, + 2328, 4398, 776, + 774, 1566, 1567, 4779, 4553, 788, 787, 1622, 1623, 4770, 4570, 775, 776, 1725, 1724, 5214, + 4044, 903, 905, 1733, + 1732, 5265, 4035, 774, 779, 3786, 3787, 4868, 4867, 886, 887, 3740, 3741, 4874, 4873, 778, 778, + 1389, 1390, 4392, + 1867, 780, 782, 1424, 1425, 4393, 2010, 777, 781, 3567, 3568, 3981, 3980, 800, 798, 3471, 3472, + 3978, 3977, 782, + 780, 1868, 1226, 1225, 3154, 901, 900, 1873, 1217, 1215, 3142, 781, 785, 3750, 3751, 4871, + 3143, 801, 802, 3744, + 3745, 4862, 3057, 783, 788, 3594, 3595, 4200, 2923, 813, 814, 3592, 3593, 4188, 2799, 786, 791, + 1580, 1579, 4771, + 1966, 795, 797, 1570, 1569, 4777, 1859, 789, 790, 3570, 3571, 4194, 4195, 806, 804, 3596, 3597, + 4203, 4204, 791 ] private def ClayworthSurface_face_edge_data_chunk9 : Array (Fin 6048) := #[ - 789, 1860, 1049, 1048, 4495, 952, 951, 1858, 1010, 1008, 4463, 790, 793, 4899, 5295, 5708, 4748, 810, 811, 4906, - 5291, 5702, 4687, 792, 796, 5318, 5256, 5258, 5711, 926, 925, 5289, 5242, 5243, 5709, 797, 800, 3590, 2259, 2260, - 4206, 811, 812, 3578, 2172, 2173, 4187, 799, 799, 2694, 2693, 4379, 4822, 862, 863, 2687, 2686, 4293, 4806, 798, - 801, 3144, 1262, 1260, 1961, 839, 837, 3177, 1229, 1227, 2004, 803, 803, 3569, 2016, 2017, 3960, 805, 806, 3488, - 2103, 2104, 3982, 802, 805, 2682, 2681, 5548, 4474, 858, 860, 2689, 2688, 5495, 4443, 804, 809, 3791, 3790, 4284, - 4861, 883, 884, 3764, 3762, 4345, 4876, 808, 810, 4749, 1103, 1101, 1985, 836, 835, 4768, 1046, 1044, 2006, 812, - 815, 5320, 5319, 5490, 4539, 927, 929, 5303, 5302, 5530, 4565, 814, 817, 4499, 982, 981, 1356, 857, 856, 4437, - 1144, 1143, 1354, 818, 816, 3752, 2269, 1800, 1801, 827, 826, 3831, 2296, 1686, 1688, 817, 818, 3073, 3072, 6029, - 3777, 936, 938, 3101, 3100, 6024, 3753, 816, 821, 3081, 3080, 5969, 3931, 913, 914, 3098, 3097, 5962, 3895, 820, - 820, 3894, 4420, 1346, 1344, 955, 956, 3920, 4444, 1349, 1347, 819, 822, 1394, 4560, 3839, 3838, 922, 921, 1470, - 4547, 3845, 3844, 824, 823, 3431, 5179, 5178, 1480, 909, 910, 3421, 5173, 5171, 1395, 822, 824, 5343, 2140, 1683, - 1684, 831, 832, 5296, 2114, 1839, 1840, 823, 825, 1565, 4386, 4385, 3824, 892, 891, 1611, 4350, 4349, 3830, 826, - 827, 4579, 4580, 3837, 1624, 876, 877, 4549, 4550, 3835, 1564, 825, 829, 4800, 4353, 1530, 1528, 889, 890, 4805, - 4373, 1519, 1518, 828, 830, 4709, 4708, 6006, 5406, 880, 881, 4717, 4716, 6002, 5379, 829, 831, 3405, 1165, 1164, - 1532, 842, 840, 3394, 1285, 1284, 1537, 833, 833, 4702, 4701, 6021, 5310, 874, 875, 4720, 4719, 6020, 5297, 832, - 836, 3959, 3958, 4078, 4008, 885, 886, 3888, 3887, 4127, 4045, 834, 834, 4046, 5366, 5560, 4693, 904, 903, 4043, - 5381, 5567, 4767, 835, 839, 5423, 5422, 5430, 4228, 924, 926, 5375, 5374, 5462, 4257, 838, 838, 3874, 3875, 4508, - 3063, 948, 949, 3896, 3898, 4518, 3176, 837, 842, 2820, 2819, 5963, 3659, 849, 851, 2841, 2840, 5974, 3643, 841, - 841, 3642, 4422, 1359, 1357, 958, 959, 3583, 4498, 1352, 1351, 840, 843, 1668, 1186, 1185, 3429, 878, 876, 1625, - 1223, 1222, 3396, 845, 844, 2771, 2574, 2572, 1676, 954, 955, 2783, 2629, 2628, 1667, 843, 845, 2823, 2821, 3245, - 2723, 853, 854, 2817, 2815, 3244, 2772, 844, 846, 3535, 5255, 3425, 3426, 917, 915, 3475, 5241, 3302, 3303, 847, - 848, 2843, 2842, 6010, 3497, 855, 857, 2811, 2810, 6003, 3536, 846, 849, 3658, 5668, 5096, 3738, 907, 906, 3620, - 5674, 5018, 3788, 850, 853, 2722, 2418, 2416, 1455, 888, 889, 2740, 2473, 2472, 1501, 852, 852, 1502, 1004, 1003, - 5098, 911, 909, 1481, 1028, 1027, 5078, 854, 855, 3496, 4154, 1533, 1534, 896, 895, 3523, 4147, 1516, 1517, 856, - 858, 4473, 5046, 5652, 4685, 934, 933, 4424, 5044, 5653, 4696, 859, 862, 3347, 3348, 4967, 3055, 930, 932, 3342 + 789, 1860, 1049, 1048, 4495, 952, 951, 1858, 1010, 1008, 4463, 790, 793, 4899, 5295, 5708, + 4748, 810, 811, 4906, + 5291, 5702, 4687, 792, 796, 5318, 5256, 5258, 5711, 926, 925, 5289, 5242, 5243, 5709, 797, 800, + 3590, 2259, 2260, + 4206, 811, 812, 3578, 2172, 2173, 4187, 799, 799, 2694, 2693, 4379, 4822, 862, 863, 2687, 2686, + 4293, 4806, 798, + 801, 3144, 1262, 1260, 1961, 839, 837, 3177, 1229, 1227, 2004, 803, 803, 3569, 2016, 2017, + 3960, 805, 806, 3488, + 2103, 2104, 3982, 802, 805, 2682, 2681, 5548, 4474, 858, 860, 2689, 2688, 5495, 4443, 804, 809, + 3791, 3790, 4284, + 4861, 883, 884, 3764, 3762, 4345, 4876, 808, 810, 4749, 1103, 1101, 1985, 836, 835, 4768, 1046, + 1044, 2006, 812, + 815, 5320, 5319, 5490, 4539, 927, 929, 5303, 5302, 5530, 4565, 814, 817, 4499, 982, 981, 1356, + 857, 856, 4437, + 1144, 1143, 1354, 818, 816, 3752, 2269, 1800, 1801, 827, 826, 3831, 2296, 1686, 1688, 817, 818, + 3073, 3072, 6029, + 3777, 936, 938, 3101, 3100, 6024, 3753, 816, 821, 3081, 3080, 5969, 3931, 913, 914, 3098, 3097, + 5962, 3895, 820, + 820, 3894, 4420, 1346, 1344, 955, 956, 3920, 4444, 1349, 1347, 819, 822, 1394, 4560, 3839, + 3838, 922, 921, 1470, + 4547, 3845, 3844, 824, 823, 3431, 5179, 5178, 1480, 909, 910, 3421, 5173, 5171, 1395, 822, 824, + 5343, 2140, 1683, + 1684, 831, 832, 5296, 2114, 1839, 1840, 823, 825, 1565, 4386, 4385, 3824, 892, 891, 1611, 4350, + 4349, 3830, 826, + 827, 4579, 4580, 3837, 1624, 876, 877, 4549, 4550, 3835, 1564, 825, 829, 4800, 4353, 1530, + 1528, 889, 890, 4805, + 4373, 1519, 1518, 828, 830, 4709, 4708, 6006, 5406, 880, 881, 4717, 4716, 6002, 5379, 829, 831, + 3405, 1165, 1164, + 1532, 842, 840, 3394, 1285, 1284, 1537, 833, 833, 4702, 4701, 6021, 5310, 874, 875, 4720, 4719, + 6020, 5297, 832, + 836, 3959, 3958, 4078, 4008, 885, 886, 3888, 3887, 4127, 4045, 834, 834, 4046, 5366, 5560, + 4693, 904, 903, 4043, + 5381, 5567, 4767, 835, 839, 5423, 5422, 5430, 4228, 924, 926, 5375, 5374, 5462, 4257, 838, 838, + 3874, 3875, 4508, + 3063, 948, 949, 3896, 3898, 4518, 3176, 837, 842, 2820, 2819, 5963, 3659, 849, 851, 2841, 2840, + 5974, 3643, 841, + 841, 3642, 4422, 1359, 1357, 958, 959, 3583, 4498, 1352, 1351, 840, 843, 1668, 1186, 1185, + 3429, 878, 876, 1625, + 1223, 1222, 3396, 845, 844, 2771, 2574, 2572, 1676, 954, 955, 2783, 2629, 2628, 1667, 843, 845, + 2823, 2821, 3245, + 2723, 853, 854, 2817, 2815, 3244, 2772, 844, 846, 3535, 5255, 3425, 3426, 917, 915, 3475, 5241, + 3302, 3303, 847, + 848, 2843, 2842, 6010, 3497, 855, 857, 2811, 2810, 6003, 3536, 846, 849, 3658, 5668, 5096, + 3738, 907, 906, 3620, + 5674, 5018, 3788, 850, 853, 2722, 2418, 2416, 1455, 888, 889, 2740, 2473, 2472, 1501, 852, 852, + 1502, 1004, 1003, + 5098, 911, 909, 1481, 1028, 1027, 5078, 854, 855, 3496, 4154, 1533, 1534, 896, 895, 3523, 4147, + 1516, 1517, 856, + 858, 4473, 5046, 5652, 4685, 934, 933, 4424, 5044, 5653, 4696, 859, 862, 3347, 3348, 4967, + 3055, 930, 932, 3342 ] private def ClayworthSurface_face_edge_data_chunk10 : Array (Fin 6048) := #[ - 3343, 4970, 3067, 861, 866, 2684, 2683, 3232, 2791, 867, 869, 2692, 2690, 3237, 2805, 864, 865, 3346, 2029, 2030, - 5783, 887, 885, 3340, 2150, 2151, 5774, 866, 868, 4223, 2185, 2187, 5656, 925, 924, 4227, 2306, 2307, 5654, 869, - 872, 4711, 4710, 5858, 5093, 877, 878, 4707, 4706, 5856, 5067, 871, 871, 4241, 4242, 3705, 1794, 894, 896, 4277, - 4278, 3698, 1796, 870, 874, 5311, 2423, 2421, 2777, 916, 917, 5288, 2453, 2452, 2642, 873, 880, 5405, 5163, 3398, - 3397, 906, 908, 5368, 5157, 3306, 3304, 879, 882, 3876, 2462, 2463, 4522, 953, 952, 3957, 2338, 2340, 4513, 884, - 883, 3351, 3350, 5483, 4425, 933, 935, 3345, 3344, 5433, 4480, 882, 888, 1454, 4252, 3700, 3699, 946, 945, 1421, - 4238, 3693, 3692, 890, 893, 1913, 1912, 4988, 1582, 942, 944, 1879, 1877, 5014, 1612, 891, 894, 1795, 2161, 2160, - 3562, 898, 897, 1774, 2110, 2109, 3524, 895, 899, 1891, 1889, 3264, 1834, 918, 920, 1885, 1883, 3297, 1775, 897, - 902, 1736, 1734, 3275, 1857, 951, 953, 1729, 1727, 3263, 1872, 900, 901, 4849, 2494, 2496, 5564, 929, 928, 4826, - 2618, 2619, 5570, 902, 907, 3739, 2609, 2608, 2645, 937, 936, 3778, 2579, 2577, 2744, 908, 911, 3079, 3077, 4976, - 3380, 940, 941, 3083, 3082, 4978, 3422, 910, 913, 3930, 5669, 5079, 3474, 915, 916, 3878, 5699, 5019, 3542, 912, - 918, 1833, 2265, 2264, 3582, 959, 957, 1847, 2317, 2316, 3574, 919, 923, 1910, 1909, 5862, 1422, 945, 947, 1888, - 1887, 5873, 1471, 921, 927, 4538, 4165, 4166, 4798, 932, 931, 4536, 4081, 4082, 4827, 928, 940, 3379, 4057, 3433, - 1846, 957, 958, 3393, 4063, 3434, 1814, 939, 942, 1581, 4059, 3442, 3441, 956, 954, 1677, 4067, 3436, 3435, 943, - 961, 2012, 2013, 3708, 4408, 965, 963, 1895, 1896, 3770, 4416, 962, 962, 2389, 2390, 3204, 2127, 999, 1000, 2382, - 2383, 3192, 2027, 960, 965, 1760, 1759, 3626, 4792, 984, 986, 1795, 1794, 3704, 4777, 964, 964, 1569, 1571, 5745, - 3002, 1140, 1142, 1562, 1563, 5742, 3023, 963, 967, 1915, 1914, 3505, 4418, 977, 976, 2015, 2014, 3445, 4402, 968, - 966, 1734, 1735, 4790, 4645, 980, 979, 1790, 1791, 4783, 4664, 967, 968, 1557, 1556, 3907, 3254, 1095, 1097, 1565, - 1564, 3834, 3275, 966, 971, 5181, 5182, 4944, 4943, 1078, 1079, 5115, 5117, 4950, 4949, 970, 969, 1507, 1205, 1203, - 2140, 988, 987, 1463, 1214, 1212, 2126, 971, 970, 1894, 1893, 4403, 1363, 972, 974, 1929, 1928, 4413, 1506, 969, - 973, 2429, 2430, 3199, 3198, 992, 990, 2378, 2379, 3208, 3207, 974, 977, 5137, 5138, 4947, 4364, 993, 994, 5113, - 5114, 4938, 4290, 975, 980, 2558, 2559, 2952, 2167, 1005, 1006, 2525, 2526, 2940, 2035, 978, 982, 2637, 2636, 2946, - 2947, 998, 996, 2528, 2527, 2955, 2956, 983, 983, 1748, 1747, 4787, 1462, 987, 989, 1739, 1737, 4778, 1355, 981, - 984, 4982, 5303, 5564, 5097, 1003, 1002, 4991, 5284, 5558, 5027, 985, 988, 5343, 3844, 3846, 5567, 1118, 1117, 5285, - 3944, 3945, 5565, 989, 991, 2217, 2216, 3162, 4823, 1054, 1055, 2225, 2224, 3060, 4836, 990, 992, 2546, 2544, 2718 + 3343, 4970, 3067, 861, 866, 2684, 2683, 3232, 2791, 867, 869, 2692, 2690, 3237, 2805, 864, 865, + 3346, 2029, 2030, + 5783, 887, 885, 3340, 2150, 2151, 5774, 866, 868, 4223, 2185, 2187, 5656, 925, 924, 4227, 2306, + 2307, 5654, 869, + 872, 4711, 4710, 5858, 5093, 877, 878, 4707, 4706, 5856, 5067, 871, 871, 4241, 4242, 3705, + 1794, 894, 896, 4277, + 4278, 3698, 1796, 870, 874, 5311, 2423, 2421, 2777, 916, 917, 5288, 2453, 2452, 2642, 873, 880, + 5405, 5163, 3398, + 3397, 906, 908, 5368, 5157, 3306, 3304, 879, 882, 3876, 2462, 2463, 4522, 953, 952, 3957, 2338, + 2340, 4513, 884, + 883, 3351, 3350, 5483, 4425, 933, 935, 3345, 3344, 5433, 4480, 882, 888, 1454, 4252, 3700, + 3699, 946, 945, 1421, + 4238, 3693, 3692, 890, 893, 1913, 1912, 4988, 1582, 942, 944, 1879, 1877, 5014, 1612, 891, 894, + 1795, 2161, 2160, + 3562, 898, 897, 1774, 2110, 2109, 3524, 895, 899, 1891, 1889, 3264, 1834, 918, 920, 1885, 1883, + 3297, 1775, 897, + 902, 1736, 1734, 3275, 1857, 951, 953, 1729, 1727, 3263, 1872, 900, 901, 4849, 2494, 2496, + 5564, 929, 928, 4826, + 2618, 2619, 5570, 902, 907, 3739, 2609, 2608, 2645, 937, 936, 3778, 2579, 2577, 2744, 908, 911, + 3079, 3077, 4976, + 3380, 940, 941, 3083, 3082, 4978, 3422, 910, 913, 3930, 5669, 5079, 3474, 915, 916, 3878, 5699, + 5019, 3542, 912, + 918, 1833, 2265, 2264, 3582, 959, 957, 1847, 2317, 2316, 3574, 919, 923, 1910, 1909, 5862, + 1422, 945, 947, 1888, + 1887, 5873, 1471, 921, 927, 4538, 4165, 4166, 4798, 932, 931, 4536, 4081, 4082, 4827, 928, 940, + 3379, 4057, 3433, + 1846, 957, 958, 3393, 4063, 3434, 1814, 939, 942, 1581, 4059, 3442, 3441, 956, 954, 1677, 4067, + 3436, 3435, 943, + 961, 2012, 2013, 3708, 4408, 965, 963, 1895, 1896, 3770, 4416, 962, 962, 2389, 2390, 3204, + 2127, 999, 1000, 2382, + 2383, 3192, 2027, 960, 965, 1760, 1759, 3626, 4792, 984, 986, 1795, 1794, 3704, 4777, 964, 964, + 1569, 1571, 5745, + 3002, 1140, 1142, 1562, 1563, 5742, 3023, 963, 967, 1915, 1914, 3505, 4418, 977, 976, 2015, + 2014, 3445, 4402, 968, + 966, 1734, 1735, 4790, 4645, 980, 979, 1790, 1791, 4783, 4664, 967, 968, 1557, 1556, 3907, + 3254, 1095, 1097, 1565, + 1564, 3834, 3275, 966, 971, 5181, 5182, 4944, 4943, 1078, 1079, 5115, 5117, 4950, 4949, 970, + 969, 1507, 1205, 1203, + 2140, 988, 987, 1463, 1214, 1212, 2126, 971, 970, 1894, 1893, 4403, 1363, 972, 974, 1929, 1928, + 4413, 1506, 969, + 973, 2429, 2430, 3199, 3198, 992, 990, 2378, 2379, 3208, 3207, 974, 977, 5137, 5138, 4947, + 4364, 993, 994, 5113, + 5114, 4938, 4290, 975, 980, 2558, 2559, 2952, 2167, 1005, 1006, 2525, 2526, 2940, 2035, 978, + 982, 2637, 2636, 2946, + 2947, 998, 996, 2528, 2527, 2955, 2956, 983, 983, 1748, 1747, 4787, 1462, 987, 989, 1739, 1737, + 4778, 1355, 981, + 984, 4982, 5303, 5564, 5097, 1003, 1002, 4991, 5284, 5558, 5027, 985, 988, 5343, 3844, 3846, + 5567, 1118, 1117, 5285, + 3944, 3945, 5565, 989, 991, 2217, 2216, 3162, 4823, 1054, 1055, 2225, 2224, 3060, 4836, 990, + 992, 2546, 2544, 2718 ] private def ClayworthSurface_face_edge_data_chunk11 : Array (Fin 6048) := #[ - 2958, 1002, 1004, 2639, 2638, 2653, 2939, 991, 995, 2434, 2433, 2784, 3191, 997, 998, 2403, 2401, 2864, 3210, 994, - 997, 2231, 2230, 5482, 4458, 1050, 1052, 2223, 2222, 5429, 4479, 996, 999, 2128, 1256, 1254, 1461, 1007, 1005, 2168, - 1325, 1323, 1479, 1001, 1001, 5183, 3049, 3048, 4937, 1075, 1076, 5129, 3121, 3120, 4952, 1000, 1007, 5345, 5344, 5424, - 4629, 1119, 1121, 5295, 5294, 5464, 4659, 1006, 1009, 5135, 2750, 1632, 1633, 1018, 1019, 5153, 2741, 1518, 1520, 1008, - 1010, 4304, 4305, 6045, 5162, 1128, 1130, 4328, 4329, 6046, 5136, 1009, 1013, 4313, 4312, 5964, 5235, 1105, 1106, 4327, - 4326, 5965, 5223, 1012, 1011, 2282, 1180, 1179, 1631, 1022, 1020, 2296, 1162, 1161, 1675, 1013, 1012, 4452, 4453, 1850, - 1848, 1147, 1148, 4493, 4494, 1853, 1851, 1011, 1014, 1898, 4653, 5263, 5262, 1114, 1113, 1974, 4639, 5257, 5256, 1016, - 1015, 4146, 3825, 3824, 1984, 1101, 1102, 4131, 3776, 3774, 1899, 1014, 1016, 5318, 2898, 1515, 1516, 1023, 1024, 5300, - 2874, 1671, 1672, 1015, 1017, 1733, 3171, 3170, 5178, 1084, 1083, 1779, 3126, 3125, 5152, 1019, 1018, 4674, 4675, 5261, - 1792, 1068, 1069, 4641, 4642, 5266, 1732, 1017, 1021, 4820, 3130, 1698, 1696, 1081, 1082, 4849, 3154, 1687, 1686, 1020, - 1022, 5035, 5034, 5815, 5391, 1072, 1073, 5052, 5050, 5814, 5376, 1021, 1025, 5040, 5041, 6039, 5327, 1066, 1067, 5048, - 5049, 6040, 5301, 1024, 1028, 5186, 3301, 3300, 3236, 1077, 1078, 5190, 3377, 3376, 3267, 1026, 1026, 3268, 5371, 5704, - 5022, 1096, 1095, 3253, 5375, 5711, 5077, 1027, 1029, 3015, 5191, 4596, 4295, 1141, 1140, 3001, 5192, 4606, 4388, 1030, - 1031, 5399, 5398, 5496, 2984, 1116, 1118, 5381, 5380, 5528, 3016, 1029, 1032, 2555, 4450, 1863, 1861, 1151, 1150, 2585, - 4466, 1856, 1855, 1033, 1034, 2056, 2055, 5968, 2601, 1041, 1043, 2078, 2077, 5975, 2556, 1032, 1036, 2262, 3585, 3586, - 1845, 1146, 1147, 2281, 3572, 3573, 1835, 1035, 1037, 2059, 2058, 4016, 2315, 1045, 1046, 2053, 2051, 4017, 2263, 1036, - 1038, 2419, 3914, 3913, 4150, 1109, 1107, 2377, 3936, 3935, 4071, 1039, 1040, 2081, 2080, 5819, 2392, 1047, 1049, 2047, - 2045, 5831, 2420, 1038, 1041, 2600, 5679, 4751, 4750, 1099, 1098, 2531, 5686, 4684, 4683, 1042, 1045, 2314, 3557, 3555, - 1959, 1080, 1081, 2327, 3563, 3562, 2005, 1044, 1047, 2391, 3384, 1701, 1702, 1088, 1087, 2480, 3405, 1684, 1685, 1048, - 1050, 4457, 4712, 5625, 5030, 1126, 1125, 4471, 4713, 5624, 5020, 1051, 1054, 4102, 4103, 4886, 4288, 1122, 1124, 4107, - 4108, 4889, 4299, 1053, 1058, 2227, 2226, 4011, 2025, 1059, 1061, 2221, 2220, 4007, 2040, 1056, 1057, 3230, 2794, 2796, - 5761, 1079, 1077, 3235, 2907, 2908, 5773, 1058, 1060, 2979, 2658, 2659, 5661, 1117, 1116, 2983, 2766, 2767, 5665, 1061, - 1062, 1629, 1199, 1197, 2284, 1133, 1131, 1647, 1193, 1191, 2324, 1064, 1063, 2996, 2998, 2485, 1626, 1086, 1088, 3039, - 3040, 2487, 1628, 1062, 1064, 5039, 5038, 5629, 4738, 1069, 1070, 5043, 5042, 5631, 4763, 1063, 1066, 5326, 3538, 2285, - 2286, 1108, 1109, 5287, 3528, 2178, 2180, 1065, 1072, 5390, 3781, 3779, 2530, 1098, 1100, 5369, 3809, 3808, 2610, 1071 + 2958, 1002, 1004, 2639, 2638, 2653, 2939, 991, 995, 2434, 2433, 2784, 3191, 997, 998, 2403, + 2401, 2864, 3210, 994, + 997, 2231, 2230, 5482, 4458, 1050, 1052, 2223, 2222, 5429, 4479, 996, 999, 2128, 1256, 1254, + 1461, 1007, 1005, 2168, + 1325, 1323, 1479, 1001, 1001, 5183, 3049, 3048, 4937, 1075, 1076, 5129, 3121, 3120, 4952, 1000, + 1007, 5345, 5344, 5424, + 4629, 1119, 1121, 5295, 5294, 5464, 4659, 1006, 1009, 5135, 2750, 1632, 1633, 1018, 1019, 5153, + 2741, 1518, 1520, 1008, + 1010, 4304, 4305, 6045, 5162, 1128, 1130, 4328, 4329, 6046, 5136, 1009, 1013, 4313, 4312, 5964, + 5235, 1105, 1106, 4327, + 4326, 5965, 5223, 1012, 1011, 2282, 1180, 1179, 1631, 1022, 1020, 2296, 1162, 1161, 1675, 1013, + 1012, 4452, 4453, 1850, + 1848, 1147, 1148, 4493, 4494, 1853, 1851, 1011, 1014, 1898, 4653, 5263, 5262, 1114, 1113, 1974, + 4639, 5257, 5256, 1016, + 1015, 4146, 3825, 3824, 1984, 1101, 1102, 4131, 3776, 3774, 1899, 1014, 1016, 5318, 2898, 1515, + 1516, 1023, 1024, 5300, + 2874, 1671, 1672, 1015, 1017, 1733, 3171, 3170, 5178, 1084, 1083, 1779, 3126, 3125, 5152, 1019, + 1018, 4674, 4675, 5261, + 1792, 1068, 1069, 4641, 4642, 5266, 1732, 1017, 1021, 4820, 3130, 1698, 1696, 1081, 1082, 4849, + 3154, 1687, 1686, 1020, + 1022, 5035, 5034, 5815, 5391, 1072, 1073, 5052, 5050, 5814, 5376, 1021, 1025, 5040, 5041, 6039, + 5327, 1066, 1067, 5048, + 5049, 6040, 5301, 1024, 1028, 5186, 3301, 3300, 3236, 1077, 1078, 5190, 3377, 3376, 3267, 1026, + 1026, 3268, 5371, 5704, + 5022, 1096, 1095, 3253, 5375, 5711, 5077, 1027, 1029, 3015, 5191, 4596, 4295, 1141, 1140, 3001, + 5192, 4606, 4388, 1030, + 1031, 5399, 5398, 5496, 2984, 1116, 1118, 5381, 5380, 5528, 3016, 1029, 1032, 2555, 4450, 1863, + 1861, 1151, 1150, 2585, + 4466, 1856, 1855, 1033, 1034, 2056, 2055, 5968, 2601, 1041, 1043, 2078, 2077, 5975, 2556, 1032, + 1036, 2262, 3585, 3586, + 1845, 1146, 1147, 2281, 3572, 3573, 1835, 1035, 1037, 2059, 2058, 4016, 2315, 1045, 1046, 2053, + 2051, 4017, 2263, 1036, + 1038, 2419, 3914, 3913, 4150, 1109, 1107, 2377, 3936, 3935, 4071, 1039, 1040, 2081, 2080, 5819, + 2392, 1047, 1049, 2047, + 2045, 5831, 2420, 1038, 1041, 2600, 5679, 4751, 4750, 1099, 1098, 2531, 5686, 4684, 4683, 1042, + 1045, 2314, 3557, 3555, + 1959, 1080, 1081, 2327, 3563, 3562, 2005, 1044, 1047, 2391, 3384, 1701, 1702, 1088, 1087, 2480, + 3405, 1684, 1685, 1048, + 1050, 4457, 4712, 5625, 5030, 1126, 1125, 4471, 4713, 5624, 5020, 1051, 1054, 4102, 4103, 4886, + 4288, 1122, 1124, 4107, + 4108, 4889, 4299, 1053, 1058, 2227, 2226, 4011, 2025, 1059, 1061, 2221, 2220, 4007, 2040, 1056, + 1057, 3230, 2794, 2796, + 5761, 1079, 1077, 3235, 2907, 2908, 5773, 1058, 1060, 2979, 2658, 2659, 5661, 1117, 1116, 2983, + 2766, 2767, 5665, 1061, + 1062, 1629, 1199, 1197, 2284, 1133, 1131, 1647, 1193, 1191, 2324, 1064, 1063, 2996, 2998, 2485, + 1626, 1086, 1088, 3039, + 3040, 2487, 1628, 1062, 1064, 5039, 5038, 5629, 4738, 1069, 1070, 5043, 5042, 5631, 4763, 1063, + 1066, 5326, 3538, 2285, + 2286, 1108, 1109, 5287, 3528, 2178, 2180, 1065, 1072, 5390, 3781, 3779, 2530, 1098, 1100, 5369, + 3809, 3808, 2610, 1071 ] private def ClayworthSurface_face_edge_data_chunk12 : Array (Fin 6048) := #[ - 1074, 4441, 3554, 3553, 4609, 1145, 1144, 4438, 3449, 3448, 4601, 1076, 1075, 4101, 4100, 5550, 4472, 1125, 1127, 4106, - 4105, 5499, 4442, 1074, 1080, 1958, 3010, 2489, 2488, 1138, 1137, 1925, 2994, 2495, 2494, 1082, 1085, 1409, 1408, 4904, - 1750, 1134, 1136, 1375, 1373, 4925, 1780, 1083, 1086, 1627, 2918, 2917, 2472, 1090, 1089, 1606, 2870, 2869, 2481, 1087, - 1091, 1387, 1386, 4065, 1666, 1110, 1112, 1381, 1379, 4036, 1607, 1089, 1093, 4805, 3692, 3694, 5708, 1121, 1120, 4809, - 3671, 3672, 5713, 1094, 1094, 1568, 1566, 4035, 1353, 1143, 1145, 1561, 1560, 4047, 1368, 1092, 1099, 5118, 3668, 2175, - 2177, 1129, 1128, 5161, 3688, 2320, 2321, 1100, 1103, 4311, 4309, 4894, 4168, 1132, 1133, 4315, 4314, 4895, 4132, 1102, - 1105, 5234, 5680, 4765, 2376, 1107, 1108, 5211, 5696, 4682, 2431, 1104, 1110, 1665, 2768, 2769, 2586, 1150, 1149, 1679, - 2775, 2776, 2631, 1111, 1115, 1406, 1405, 5651, 1926, 1137, 1139, 1384, 1383, 5638, 1975, 1113, 1119, 4628, 3414, 3416, - 4832, 1124, 1123, 4626, 3312, 3313, 4810, 1120, 1132, 3249, 3248, 2341, 1678, 1149, 1151, 3292, 3291, 2332, 1646, 1131, - 1134, 1749, 3246, 2345, 2347, 1148, 1146, 1844, 3262, 2330, 2331, 1135, 1153, 1844, 1845, 4412, 4413, 1157, 1155, 1727, - 1728, 4409, 4410, 1154, 1154, 2402, 2403, 2947, 2323, 1191, 1192, 2369, 2370, 2935, 2191, 1152, 1157, 1928, 1927, 3634, - 4567, 1176, 1178, 1963, 1962, 3660, 4561, 1156, 1156, 1401, 1402, 5387, 3272, 1332, 1334, 1394, 1395, 5346, 3263, 1155, - 1159, 1747, 1746, 3507, 4414, 1169, 1168, 1847, 1846, 3432, 4392, 1160, 1158, 1902, 1903, 4785, 4784, 1172, 1171, 1958, - 1959, 4788, 4787, 1159, 1160, 1390, 1388, 5219, 3019, 1287, 1289, 1397, 1396, 5237, 3011, 1158, 1162, 3831, 3830, 4517, - 4518, 1271, 1270, 3734, 3733, 4514, 4515, 1163, 1163, 1726, 1725, 4398, 1531, 1164, 1166, 1761, 1760, 4408, 1674, 1161, - 1165, 2480, 2481, 2951, 2952, 1184, 1183, 2371, 2372, 2948, 2949, 1166, 1169, 3763, 3764, 4513, 3428, 1185, 1187, 3731, - 3732, 4505, 3317, 1167, 1172, 2545, 2546, 3198, 2283, 1197, 1198, 2538, 2539, 3187, 2183, 1170, 1175, 1916, 1915, 4664, - 1630, 1179, 1181, 1907, 1905, 4654, 1523, 1173, 1174, 2585, 2586, 3203, 3204, 1189, 1188, 2534, 2535, 3200, 3201, 1175, - 1176, 4568, 5895, 5844, 5539, 1195, 1194, 4569, 5886, 5838, 5493, 1177, 1180, 5765, 5228, 5227, 5809, 1310, 1309, 5762, - 5249, 5248, 5821, 1181, 1184, 2559, 2557, 2862, 3205, 1194, 1196, 2590, 2589, 2797, 3180, 1182, 1182, 2074, 2073, 4163, - 4834, 1247, 1246, 2067, 2066, 4077, 4828, 1183, 1186, 2483, 2482, 2640, 2928, 1190, 1189, 2390, 2388, 2720, 2953, 1187, - 1190, 2062, 2061, 4760, 4476, 1242, 1244, 2069, 2068, 4690, 4467, 1188, 1193, 3833, 3832, 4068, 4500, 1267, 1268, 3751, - 3749, 4129, 4519, 1192, 1199, 5915, 4681, 4680, 4888, 1312, 1313, 5892, 4737, 4736, 4908, 1198, 1200, 3760, 2895, 1464, - 1465, 1211, 1210, 3786, 2885, 1350, 1352, 1201, 1202, 3335, 3336, 6035, 3801, 1320, 1322, 3353, 3354, 6032, 3761, 1200, - 1204, 3889, 4489, 1682, 1680, 1339, 1340, 3957, 4495, 1685, 1683, 1203, 1205, 3328, 3327, 5677, 3912, 1297, 1298, 3357 + 1074, 4441, 3554, 3553, 4609, 1145, 1144, 4438, 3449, 3448, 4601, 1076, 1075, 4101, 4100, 5550, + 4472, 1125, 1127, 4106, + 4105, 5499, 4442, 1074, 1080, 1958, 3010, 2489, 2488, 1138, 1137, 1925, 2994, 2495, 2494, 1082, + 1085, 1409, 1408, 4904, + 1750, 1134, 1136, 1375, 1373, 4925, 1780, 1083, 1086, 1627, 2918, 2917, 2472, 1090, 1089, 1606, + 2870, 2869, 2481, 1087, + 1091, 1387, 1386, 4065, 1666, 1110, 1112, 1381, 1379, 4036, 1607, 1089, 1093, 4805, 3692, 3694, + 5708, 1121, 1120, 4809, + 3671, 3672, 5713, 1094, 1094, 1568, 1566, 4035, 1353, 1143, 1145, 1561, 1560, 4047, 1368, 1092, + 1099, 5118, 3668, 2175, + 2177, 1129, 1128, 5161, 3688, 2320, 2321, 1100, 1103, 4311, 4309, 4894, 4168, 1132, 1133, 4315, + 4314, 4895, 4132, 1102, + 1105, 5234, 5680, 4765, 2376, 1107, 1108, 5211, 5696, 4682, 2431, 1104, 1110, 1665, 2768, 2769, + 2586, 1150, 1149, 1679, + 2775, 2776, 2631, 1111, 1115, 1406, 1405, 5651, 1926, 1137, 1139, 1384, 1383, 5638, 1975, 1113, + 1119, 4628, 3414, 3416, + 4832, 1124, 1123, 4626, 3312, 3313, 4810, 1120, 1132, 3249, 3248, 2341, 1678, 1149, 1151, 3292, + 3291, 2332, 1646, 1131, + 1134, 1749, 3246, 2345, 2347, 1148, 1146, 1844, 3262, 2330, 2331, 1135, 1153, 1844, 1845, 4412, + 4413, 1157, 1155, 1727, + 1728, 4409, 4410, 1154, 1154, 2402, 2403, 2947, 2323, 1191, 1192, 2369, 2370, 2935, 2191, 1152, + 1157, 1928, 1927, 3634, + 4567, 1176, 1178, 1963, 1962, 3660, 4561, 1156, 1156, 1401, 1402, 5387, 3272, 1332, 1334, 1394, + 1395, 5346, 3263, 1155, + 1159, 1747, 1746, 3507, 4414, 1169, 1168, 1847, 1846, 3432, 4392, 1160, 1158, 1902, 1903, 4785, + 4784, 1172, 1171, 1958, + 1959, 4788, 4787, 1159, 1160, 1390, 1388, 5219, 3019, 1287, 1289, 1397, 1396, 5237, 3011, 1158, + 1162, 3831, 3830, 4517, + 4518, 1271, 1270, 3734, 3733, 4514, 4515, 1163, 1163, 1726, 1725, 4398, 1531, 1164, 1166, 1761, + 1760, 4408, 1674, 1161, + 1165, 2480, 2481, 2951, 2952, 1184, 1183, 2371, 2372, 2948, 2949, 1166, 1169, 3763, 3764, 4513, + 3428, 1185, 1187, 3731, + 3732, 4505, 3317, 1167, 1172, 2545, 2546, 3198, 2283, 1197, 1198, 2538, 2539, 3187, 2183, 1170, + 1175, 1916, 1915, 4664, + 1630, 1179, 1181, 1907, 1905, 4654, 1523, 1173, 1174, 2585, 2586, 3203, 3204, 1189, 1188, 2534, + 2535, 3200, 3201, 1175, + 1176, 4568, 5895, 5844, 5539, 1195, 1194, 4569, 5886, 5838, 5493, 1177, 1180, 5765, 5228, 5227, + 5809, 1310, 1309, 5762, + 5249, 5248, 5821, 1181, 1184, 2559, 2557, 2862, 3205, 1194, 1196, 2590, 2589, 2797, 3180, 1182, + 1182, 2074, 2073, 4163, + 4834, 1247, 1246, 2067, 2066, 4077, 4828, 1183, 1186, 2483, 2482, 2640, 2928, 1190, 1189, 2390, + 2388, 2720, 2953, 1187, + 1190, 2062, 2061, 4760, 4476, 1242, 1244, 2069, 2068, 4690, 4467, 1188, 1193, 3833, 3832, 4068, + 4500, 1267, 1268, 3751, + 3749, 4129, 4519, 1192, 1199, 5915, 4681, 4680, 4888, 1312, 1313, 5892, 4737, 4736, 4908, 1198, + 1200, 3760, 2895, 1464, + 1465, 1211, 1210, 3786, 2885, 1350, 1352, 1201, 1202, 3335, 3336, 6035, 3801, 1320, 1322, 3353, + 3354, 6032, 3761, 1200, + 1204, 3889, 4489, 1682, 1680, 1339, 1340, 3957, 4495, 1685, 1683, 1203, 1205, 3328, 3327, 5677, + 3912, 1297, 1298, 3357 ] private def ClayworthSurface_face_edge_data_chunk13 : Array (Fin 6048) := #[ - 3356, 5678, 3890, 1204, 1206, 1730, 4764, 3836, 3837, 1306, 1305, 1806, 4739, 3851, 3853, 1208, 1207, 3141, 5176, 5177, - 1816, 1293, 1294, 3123, 5143, 5144, 1731, 1206, 1208, 5792, 2754, 1347, 1348, 1215, 1216, 5790, 2730, 1503, 1504, 1207, - 1209, 1901, 4169, 4170, 3827, 1276, 1275, 1947, 4133, 4134, 3787, 1210, 1211, 4922, 4921, 3838, 1960, 1260, 1261, 4919, - 4918, 3847, 1900, 1209, 1214, 5511, 5510, 5988, 5940, 1264, 1265, 5517, 5516, 5982, 5933, 1213, 1213, 4847, 4137, 1866, - 1864, 1273, 1274, 4850, 4157, 1855, 1854, 1212, 1217, 5504, 5505, 5987, 5907, 1258, 1259, 5518, 5519, 5989, 5894, 1216, - 1220, 3922, 3921, 4294, 2982, 1269, 1271, 3898, 3897, 4343, 3021, 1218, 1218, 3022, 5920, 5606, 5497, 1288, 1287, 3020, - 5921, 5613, 5553, 1219, 1221, 3273, 3882, 4858, 3309, 1333, 1332, 3271, 3888, 4867, 3395, 1222, 1223, 5811, 5017, 5016, - 3234, 1308, 1310, 5810, 5066, 5064, 3274, 1221, 1224, 2547, 4491, 1695, 1693, 1343, 1342, 2637, 4499, 1688, 1687, 1225, - 1226, 2203, 2202, 5687, 2576, 1233, 1235, 2237, 2236, 5698, 2548, 1224, 1228, 2158, 3581, 3579, 2013, 1338, 1339, 2171, - 3575, 3574, 2003, 1227, 1229, 2209, 2207, 4236, 2107, 1237, 1238, 2215, 2213, 4237, 2159, 1228, 1230, 2444, 5233, 3145, - 3146, 1301, 1299, 2375, 5264, 3053, 3054, 1231, 1232, 2233, 2234, 6011, 2400, 1239, 1241, 2211, 2212, 6005, 2445, 1230, - 1233, 2575, 5393, 5392, 3736, 1291, 1290, 2533, 5411, 5410, 3810, 1234, 1237, 2106, 3512, 3513, 1791, 1272, 1273, 2125, - 3560, 3561, 1837, 1236, 1239, 2399, 4370, 1869, 1870, 1280, 1279, 2429, 4363, 1852, 1853, 1240, 1242, 4475, 5448, 5721, - 5491, 1318, 1317, 4477, 5449, 5720, 5500, 1243, 1247, 3088, 3087, 4630, 3321, 1314, 1315, 3094, 3093, 4627, 3307, 1245, - 1250, 2065, 2063, 4229, 2196, 1251, 1253, 2072, 2070, 4224, 2182, 1248, 1249, 2986, 2650, 2652, 5777, 1270, 1269, 2981, - 2762, 2764, 5781, 1250, 1252, 3239, 2802, 2803, 5763, 1309, 1308, 3233, 2910, 2911, 5782, 1253, 1256, 5513, 5512, 5724, - 5466, 1261, 1262, 5509, 5508, 5725, 5485, 1255, 1255, 3288, 3287, 2498, 1458, 1278, 1280, 3294, 3293, 2488, 1460, 1254, - 1258, 5908, 3517, 2164, 2165, 1300, 1301, 5887, 3541, 2019, 2020, 1257, 1264, 5828, 5148, 3174, 2532, 1290, 1292, 5829, - 5166, 3051, 2587, 1263, 1267, 3086, 3085, 5089, 4478, 1317, 1319, 3091, 3090, 5024, 4440, 1266, 1266, 3880, 3549, 3551, - 4870, 1337, 1336, 3920, 3441, 3443, 4871, 1268, 1272, 1790, 3299, 2486, 2487, 1330, 1329, 1757, 3289, 2501, 2503, 1274, - 1277, 1577, 1576, 4678, 1918, 1326, 1328, 1543, 1541, 4655, 1948, 1275, 1278, 1459, 2773, 2774, 2475, 1282, 1281, 1438, - 2725, 2726, 2430, 1279, 1283, 1555, 1553, 4282, 1498, 1302, 1304, 1549, 1547, 4254, 1439, 1281, 1286, 1400, 1398, 4253, - 1521, 1335, 1337, 1393, 1391, 4263, 1536, 1284, 1285, 4812, 3650, 3649, 5610, 1313, 1311, 4807, 3680, 3679, 5615, 1286, - 1291, 3737, 3703, 2023, 2024, 1321, 1320, 3800, 3657, 2129, 2130, 1292, 1295, 3339, 3337, 4638, 3169, 1324, 1325, 3333, - 3332, 4636, 3124, 1294, 1297, 3911, 5313, 5312, 2374, 1299, 1300, 3879, 5332, 5331, 2454, 1296, 1302, 1497, 2913, 2912 + 3356, 5678, 3890, 1204, 1206, 1730, 4764, 3836, 3837, 1306, 1305, 1806, 4739, 3851, 3853, 1208, + 1207, 3141, 5176, 5177, + 1816, 1293, 1294, 3123, 5143, 5144, 1731, 1206, 1208, 5792, 2754, 1347, 1348, 1215, 1216, 5790, + 2730, 1503, 1504, 1207, + 1209, 1901, 4169, 4170, 3827, 1276, 1275, 1947, 4133, 4134, 3787, 1210, 1211, 4922, 4921, 3838, + 1960, 1260, 1261, 4919, + 4918, 3847, 1900, 1209, 1214, 5511, 5510, 5988, 5940, 1264, 1265, 5517, 5516, 5982, 5933, 1213, + 1213, 4847, 4137, 1866, + 1864, 1273, 1274, 4850, 4157, 1855, 1854, 1212, 1217, 5504, 5505, 5987, 5907, 1258, 1259, 5518, + 5519, 5989, 5894, 1216, + 1220, 3922, 3921, 4294, 2982, 1269, 1271, 3898, 3897, 4343, 3021, 1218, 1218, 3022, 5920, 5606, + 5497, 1288, 1287, 3020, + 5921, 5613, 5553, 1219, 1221, 3273, 3882, 4858, 3309, 1333, 1332, 3271, 3888, 4867, 3395, 1222, + 1223, 5811, 5017, 5016, + 3234, 1308, 1310, 5810, 5066, 5064, 3274, 1221, 1224, 2547, 4491, 1695, 1693, 1343, 1342, 2637, + 4499, 1688, 1687, 1225, + 1226, 2203, 2202, 5687, 2576, 1233, 1235, 2237, 2236, 5698, 2548, 1224, 1228, 2158, 3581, 3579, + 2013, 1338, 1339, 2171, + 3575, 3574, 2003, 1227, 1229, 2209, 2207, 4236, 2107, 1237, 1238, 2215, 2213, 4237, 2159, 1228, + 1230, 2444, 5233, 3145, + 3146, 1301, 1299, 2375, 5264, 3053, 3054, 1231, 1232, 2233, 2234, 6011, 2400, 1239, 1241, 2211, + 2212, 6005, 2445, 1230, + 1233, 2575, 5393, 5392, 3736, 1291, 1290, 2533, 5411, 5410, 3810, 1234, 1237, 2106, 3512, 3513, + 1791, 1272, 1273, 2125, + 3560, 3561, 1837, 1236, 1239, 2399, 4370, 1869, 1870, 1280, 1279, 2429, 4363, 1852, 1853, 1240, + 1242, 4475, 5448, 5721, + 5491, 1318, 1317, 4477, 5449, 5720, 5500, 1243, 1247, 3088, 3087, 4630, 3321, 1314, 1315, 3094, + 3093, 4627, 3307, 1245, + 1250, 2065, 2063, 4229, 2196, 1251, 1253, 2072, 2070, 4224, 2182, 1248, 1249, 2986, 2650, 2652, + 5777, 1270, 1269, 2981, + 2762, 2764, 5781, 1250, 1252, 3239, 2802, 2803, 5763, 1309, 1308, 3233, 2910, 2911, 5782, 1253, + 1256, 5513, 5512, 5724, + 5466, 1261, 1262, 5509, 5508, 5725, 5485, 1255, 1255, 3288, 3287, 2498, 1458, 1278, 1280, 3294, + 3293, 2488, 1460, 1254, + 1258, 5908, 3517, 2164, 2165, 1300, 1301, 5887, 3541, 2019, 2020, 1257, 1264, 5828, 5148, 3174, + 2532, 1290, 1292, 5829, + 5166, 3051, 2587, 1263, 1267, 3086, 3085, 5089, 4478, 1317, 1319, 3091, 3090, 5024, 4440, 1266, + 1266, 3880, 3549, 3551, + 4870, 1337, 1336, 3920, 3441, 3443, 4871, 1268, 1272, 1790, 3299, 2486, 2487, 1330, 1329, 1757, + 3289, 2501, 2503, 1274, + 1277, 1577, 1576, 4678, 1918, 1326, 1328, 1543, 1541, 4655, 1948, 1275, 1278, 1459, 2773, 2774, + 2475, 1282, 1281, 1438, + 2725, 2726, 2430, 1279, 1283, 1555, 1553, 4282, 1498, 1302, 1304, 1549, 1547, 4254, 1439, 1281, + 1286, 1400, 1398, 4253, + 1521, 1335, 1337, 1393, 1391, 4263, 1536, 1284, 1285, 4812, 3650, 3649, 5610, 1313, 1311, 4807, + 3680, 3679, 5615, 1286, + 1291, 3737, 3703, 2023, 2024, 1321, 1320, 3800, 3657, 2129, 2130, 1292, 1295, 3339, 3337, 4638, + 3169, 1324, 1325, 3333, + 3332, 4636, 3124, 1294, 1297, 3911, 5313, 5312, 2374, 1299, 1300, 3879, 5332, 5331, 2454, 1296, + 1302, 1497, 2913, 2912 ] private def ClayworthSurface_face_edge_data_chunk14 : Array (Fin 6048) := #[ - 2636, 1342, 1341, 1511, 2920, 2919, 2628, 1303, 1307, 1574, 1573, 5741, 1758, 1329, 1331, 1552, 1551, 5731, 1807, 1305, - 1312, 4887, 4381, 4382, 4835, 1315, 1316, 4890, 4297, 4298, 4808, 1311, 1324, 3034, 3035, 2329, 1510, 1341, 1343, 3041, - 3042, 2331, 1478, 1323, 1326, 1917, 3037, 2339, 2338, 1340, 1338, 2012, 3047, 2333, 2332, 1327, 1346, 2513, 2514, 2808, - 2806, 1379, 1380, 2509, 2511, 2793, 2792, 1345, 1353, 5265, 5266, 3075, 3076, 1453, 1452, 5199, 5200, 3071, 3073, 1354, - 1355, 2484, 2485, 2813, 2814, 1372, 1371, 2515, 2516, 2809, 2811, 1356, 1359, 5221, 5222, 3070, 3069, 1373, 1374, 5196, - 5198, 3058, 3057, 1358, 1361, 2351, 2352, 2670, 2668, 1386, 1385, 2362, 2364, 2656, 2655, 1362, 1363, 2342, 2341, 2662, - 2664, 1378, 1376, 2366, 2365, 2674, 2676, 1364, 1365, 3152, 5357, 5437, 5436, 1383, 1382, 3153, 5363, 5428, 5427, 1367, - 1368, 5351, 3774, 3775, 5441, 1484, 1483, 5364, 3806, 3807, 5439, 1369, 1372, 2358, 2356, 2677, 2678, 1382, 1384, 2344, - 2343, 2653, 2654, 1370, 1370, 3105, 4217, 5004, 4824, 1430, 1429, 3110, 4213, 4940, 4853, 1371, 1375, 2493, 2492, 2784, - 2785, 1377, 1378, 2508, 2506, 2815, 2816, 1374, 1377, 4209, 4210, 5593, 4460, 1426, 1427, 4214, 4215, 5559, 4497, 1376, - 1381, 5267, 4936, 3048, 3050, 1449, 1450, 5213, 4975, 3077, 3078, 1380, 1387, 5353, 5352, 5424, 3361, 1485, 1487, 5360, - 5359, 5442, 3404, 1385, 1389, 4873, 4875, 6003, 5244, 1494, 1496, 4882, 4883, 6008, 5220, 1388, 1393, 4870, 4869, 5988, - 5150, 1473, 1474, 4885, 4884, 5984, 5139, 1392, 1400, 5615, 5616, 5677, 5316, 1446, 1447, 5619, 5620, 5685, 5306, 1399, - 1403, 5611, 5612, 5676, 5412, 1441, 1442, 5622, 5623, 5693, 5386, 1402, 1406, 5102, 4595, 3300, 2848, 1451, 1453, 5106, - 4635, 3332, 2896, 1404, 1404, 2897, 5278, 5498, 5497, 1466, 1464, 2894, 5280, 5507, 5506, 1405, 1409, 5271, 5270, 5496, - 2706, 1482, 1484, 5277, 5276, 5512, 2747, 1407, 1407, 2746, 5107, 3310, 3309, 1505, 1503, 2729, 5108, 3325, 3323, 1408, - 1412, 3985, 3984, 5985, 2456, 1418, 1420, 4002, 4001, 5992, 2413, 1410, 1414, 3987, 2101, 2102, 4239, 1421, 1422, 3983, - 2104, 2105, 4276, 1413, 1415, 2584, 3783, 3782, 4563, 1477, 1475, 2541, 3829, 3828, 4502, 1416, 1417, 4003, 4004, 6022, - 2567, 1423, 1424, 3977, 3979, 6029, 2583, 1415, 1418, 2457, 5902, 5871, 5202, 1468, 1467, 2387, 5914, 5833, 5252, 1419, - 1426, 4459, 5053, 5054, 5602, 1493, 1491, 4487, 5055, 5056, 5609, 1428, 1430, 4526, 4335, 4336, 4866, 1490, 1489, 4530, - 4331, 4332, 4857, 1431, 1434, 4211, 2090, 2091, 3965, 1436, 1437, 4216, 2084, 2085, 3975, 1433, 1432, 2854, 3193, 3195, - 5769, 1452, 1451, 2849, 3284, 3285, 5776, 1434, 1435, 2701, 2942, 2943, 5779, 1483, 1482, 2707, 3032, 3033, 5759, 1437, - 1439, 5617, 5064, 5065, 5694, 1443, 1444, 5614, 5061, 5062, 5682, 1438, 1441, 5413, 3677, 3675, 4280, 1476, 1477, 5373, - 3667, 3666, 4177, 1440, 1446, 5317, 3917, 3915, 2386, 1467, 1469, 5292, 3956, 3955, 2477, 1445, 1448, 4445, 3691, 3326, - 3328, 1507, 1506, 4412, 3586, 3329, 3331, 1450, 1449, 4524, 4525, 5738, 4488, 1491, 1492, 4528, 4529, 5705, 4446, 1448 + 2636, 1342, 1341, 1511, 2920, 2919, 2628, 1303, 1307, 1574, 1573, 5741, 1758, 1329, 1331, 1552, + 1551, 5731, 1807, 1305, + 1312, 4887, 4381, 4382, 4835, 1315, 1316, 4890, 4297, 4298, 4808, 1311, 1324, 3034, 3035, 2329, + 1510, 1341, 1343, 3041, + 3042, 2331, 1478, 1323, 1326, 1917, 3037, 2339, 2338, 1340, 1338, 2012, 3047, 2333, 2332, 1327, + 1346, 2513, 2514, 2808, + 2806, 1379, 1380, 2509, 2511, 2793, 2792, 1345, 1353, 5265, 5266, 3075, 3076, 1453, 1452, 5199, + 5200, 3071, 3073, 1354, + 1355, 2484, 2485, 2813, 2814, 1372, 1371, 2515, 2516, 2809, 2811, 1356, 1359, 5221, 5222, 3070, + 3069, 1373, 1374, 5196, + 5198, 3058, 3057, 1358, 1361, 2351, 2352, 2670, 2668, 1386, 1385, 2362, 2364, 2656, 2655, 1362, + 1363, 2342, 2341, 2662, + 2664, 1378, 1376, 2366, 2365, 2674, 2676, 1364, 1365, 3152, 5357, 5437, 5436, 1383, 1382, 3153, + 5363, 5428, 5427, 1367, + 1368, 5351, 3774, 3775, 5441, 1484, 1483, 5364, 3806, 3807, 5439, 1369, 1372, 2358, 2356, 2677, + 2678, 1382, 1384, 2344, + 2343, 2653, 2654, 1370, 1370, 3105, 4217, 5004, 4824, 1430, 1429, 3110, 4213, 4940, 4853, 1371, + 1375, 2493, 2492, 2784, + 2785, 1377, 1378, 2508, 2506, 2815, 2816, 1374, 1377, 4209, 4210, 5593, 4460, 1426, 1427, 4214, + 4215, 5559, 4497, 1376, + 1381, 5267, 4936, 3048, 3050, 1449, 1450, 5213, 4975, 3077, 3078, 1380, 1387, 5353, 5352, 5424, + 3361, 1485, 1487, 5360, + 5359, 5442, 3404, 1385, 1389, 4873, 4875, 6003, 5244, 1494, 1496, 4882, 4883, 6008, 5220, 1388, + 1393, 4870, 4869, 5988, + 5150, 1473, 1474, 4885, 4884, 5984, 5139, 1392, 1400, 5615, 5616, 5677, 5316, 1446, 1447, 5619, + 5620, 5685, 5306, 1399, + 1403, 5611, 5612, 5676, 5412, 1441, 1442, 5622, 5623, 5693, 5386, 1402, 1406, 5102, 4595, 3300, + 2848, 1451, 1453, 5106, + 4635, 3332, 2896, 1404, 1404, 2897, 5278, 5498, 5497, 1466, 1464, 2894, 5280, 5507, 5506, 1405, + 1409, 5271, 5270, 5496, + 2706, 1482, 1484, 5277, 5276, 5512, 2747, 1407, 1407, 2746, 5107, 3310, 3309, 1505, 1503, 2729, + 5108, 3325, 3323, 1408, + 1412, 3985, 3984, 5985, 2456, 1418, 1420, 4002, 4001, 5992, 2413, 1410, 1414, 3987, 2101, 2102, + 4239, 1421, 1422, 3983, + 2104, 2105, 4276, 1413, 1415, 2584, 3783, 3782, 4563, 1477, 1475, 2541, 3829, 3828, 4502, 1416, + 1417, 4003, 4004, 6022, + 2567, 1423, 1424, 3977, 3979, 6029, 2583, 1415, 1418, 2457, 5902, 5871, 5202, 1468, 1467, 2387, + 5914, 5833, 5252, 1419, + 1426, 4459, 5053, 5054, 5602, 1493, 1491, 4487, 5055, 5056, 5609, 1428, 1430, 4526, 4335, 4336, + 4866, 1490, 1489, 4530, + 4331, 4332, 4857, 1431, 1434, 4211, 2090, 2091, 3965, 1436, 1437, 4216, 2084, 2085, 3975, 1433, + 1432, 2854, 3193, 3195, + 5769, 1452, 1451, 2849, 3284, 3285, 5776, 1434, 1435, 2701, 2942, 2943, 5779, 1483, 1482, 2707, + 3032, 3033, 5759, 1437, + 1439, 5617, 5064, 5065, 5694, 1443, 1444, 5614, 5061, 5062, 5682, 1438, 1441, 5413, 3677, 3675, + 4280, 1476, 1477, 5373, + 3667, 3666, 4177, 1440, 1446, 5317, 3917, 3915, 2386, 1467, 1469, 5292, 3956, 3955, 2477, 1445, + 1448, 4445, 3691, 3326, + 3328, 1507, 1506, 4412, 3586, 3329, 3331, 1450, 1449, 4524, 4525, 5738, 4488, 1491, 1492, 4528, + 4529, 5705, 4446, 1448 ] private def ClayworthSurface_face_edge_data_chunk15 : Array (Fin 6048) := #[ - 1462, 4788, 3555, 3556, 5503, 1487, 1486, 4813, 3533, 3534, 5511, 1463, 1468, 5203, 3530, 3529, 4180, 1495, 1494, 5245, - 3548, 3547, 4255, 1469, 1471, 4877, 4345, 4346, 4578, 1497, 1498, 4872, 4343, 4344, 4548, 1470, 1473, 5151, 5939, 5863, - 2540, 1475, 1476, 5126, 5946, 5834, 2596, 1472, 1485, 3362, 4670, 4671, 4845, 1489, 1488, 3366, 4597, 4598, 4814, 1486, - 1514, 2507, 2508, 2664, 2663, 1547, 1548, 2518, 2520, 2649, 2648, 1513, 1521, 3848, 3847, 4091, 4092, 1621, 1620, 3872, - 3871, 4087, 4088, 1522, 1523, 2497, 2498, 2669, 2670, 1540, 1539, 2521, 2522, 2665, 2667, 1524, 1527, 3856, 3858, 4086, - 4085, 1541, 1542, 3868, 3870, 4075, 4074, 1526, 1530, 2357, 2358, 2814, 2812, 1553, 1554, 2353, 2355, 2800, 2799, 1529, - 1531, 2328, 2329, 2807, 2808, 1546, 1544, 2359, 2360, 2818, 2820, 1532, 1533, 4155, 5932, 4699, 4698, 1551, 1550, 4156, - 5922, 4688, 4687, 1535, 1536, 5748, 5144, 4703, 4705, 1652, 1651, 5767, 5165, 4700, 4702, 1537, 1540, 2352, 2350, 2821, - 2822, 1550, 1552, 2337, 2336, 2797, 2798, 1538, 1538, 3998, 3999, 4574, 4842, 1599, 1597, 3992, 3993, 4507, 4829, 1539, - 1543, 2500, 2499, 2640, 2641, 1545, 1546, 2514, 2512, 2671, 2672, 1542, 1545, 3988, 3989, 5870, 4484, 1594, 1595, 3994, - 3995, 5839, 4468, 1544, 1549, 3850, 3849, 4068, 4069, 1617, 1618, 3864, 3862, 4093, 4094, 1548, 1555, 5951, 5837, 4680, - 4333, 1653, 1655, 5929, 5855, 4706, 4368, 1554, 1558, 4603, 4604, 5812, 3938, 1662, 1664, 4624, 4625, 5827, 3908, 1556, - 1561, 4609, 4610, 5815, 3784, 1641, 1642, 4621, 4622, 5824, 3769, 1559, 1568, 5713, 5714, 5964, 5903, 1614, 1615, 5716, - 5717, 5967, 5896, 1567, 1570, 5709, 5710, 5963, 5943, 1610, 1609, 5718, 5719, 5972, 5931, 1571, 1572, 2753, 5881, 5023, - 5022, 1634, 1632, 2751, 5882, 5033, 5032, 1573, 1574, 3712, 3711, 4294, 2704, 1619, 1621, 3720, 3719, 4314, 2752, 1572, - 1575, 2890, 3721, 4296, 4295, 1673, 1671, 2873, 3723, 4308, 4306, 1576, 1577, 5876, 5605, 5016, 2850, 1650, 1652, 5880, - 5628, 5038, 2891, 1575, 1580, 4204, 4205, 6021, 2428, 1586, 1588, 4219, 4220, 6026, 2411, 1578, 1582, 4207, 2260, 2261, - 4019, 1589, 1590, 4202, 2257, 2258, 4060, 1581, 1583, 2613, 5149, 5011, 5012, 1645, 1643, 2543, 5180, 4927, 4928, 1584, - 1585, 4221, 4222, 6028, 2569, 1591, 1593, 4197, 4198, 6019, 2612, 1583, 1586, 2427, 5315, 5314, 3885, 1636, 1635, 2385, - 5342, 5341, 3954, 1587, 1594, 4483, 5522, 5523, 5700, 1661, 1659, 4485, 5520, 5521, 5707, 1596, 1599, 4841, 3359, 3360, - 4591, 1657, 1658, 4843, 3363, 3364, 4600, 1598, 1602, 3991, 2240, 2241, 4182, 1604, 1605, 3997, 2246, 2247, 4193, 1601, - 1600, 2710, 2936, 2938, 5778, 1620, 1619, 2705, 3030, 3031, 5787, 1602, 1603, 2845, 3189, 3190, 5768, 1651, 1650, 2851, - 3282, 3283, 5788, 1605, 1607, 5715, 5528, 5529, 5582, 1611, 1612, 5712, 5530, 5531, 5595, 1606, 1610, 5944, 3655, 3653, - 3746, 1644, 1645, 5924, 3682, 3681, 3796, 1608, 1614, 5904, 5232, 4989, 2384, 1635, 1637, 5890, 5250, 4929, 2440, 1613, - 1617, 4958, 4959, 5647, 4486, 1659, 1660, 4955, 4956, 5607, 4447, 1616, 1616, 3724, 3689, 3690, 4313, 1675, 1674, 3708 + 1462, 4788, 3555, 3556, 5503, 1487, 1486, 4813, 3533, 3534, 5511, 1463, 1468, 5203, 3530, 3529, + 4180, 1495, 1494, 5245, + 3548, 3547, 4255, 1469, 1471, 4877, 4345, 4346, 4578, 1497, 1498, 4872, 4343, 4344, 4548, 1470, + 1473, 5151, 5939, 5863, + 2540, 1475, 1476, 5126, 5946, 5834, 2596, 1472, 1485, 3362, 4670, 4671, 4845, 1489, 1488, 3366, + 4597, 4598, 4814, 1486, + 1514, 2507, 2508, 2664, 2663, 1547, 1548, 2518, 2520, 2649, 2648, 1513, 1521, 3848, 3847, 4091, + 4092, 1621, 1620, 3872, + 3871, 4087, 4088, 1522, 1523, 2497, 2498, 2669, 2670, 1540, 1539, 2521, 2522, 2665, 2667, 1524, + 1527, 3856, 3858, 4086, + 4085, 1541, 1542, 3868, 3870, 4075, 4074, 1526, 1530, 2357, 2358, 2814, 2812, 1553, 1554, 2353, + 2355, 2800, 2799, 1529, + 1531, 2328, 2329, 2807, 2808, 1546, 1544, 2359, 2360, 2818, 2820, 1532, 1533, 4155, 5932, 4699, + 4698, 1551, 1550, 4156, + 5922, 4688, 4687, 1535, 1536, 5748, 5144, 4703, 4705, 1652, 1651, 5767, 5165, 4700, 4702, 1537, + 1540, 2352, 2350, 2821, + 2822, 1550, 1552, 2337, 2336, 2797, 2798, 1538, 1538, 3998, 3999, 4574, 4842, 1599, 1597, 3992, + 3993, 4507, 4829, 1539, + 1543, 2500, 2499, 2640, 2641, 1545, 1546, 2514, 2512, 2671, 2672, 1542, 1545, 3988, 3989, 5870, + 4484, 1594, 1595, 3994, + 3995, 5839, 4468, 1544, 1549, 3850, 3849, 4068, 4069, 1617, 1618, 3864, 3862, 4093, 4094, 1548, + 1555, 5951, 5837, 4680, + 4333, 1653, 1655, 5929, 5855, 4706, 4368, 1554, 1558, 4603, 4604, 5812, 3938, 1662, 1664, 4624, + 4625, 5827, 3908, 1556, + 1561, 4609, 4610, 5815, 3784, 1641, 1642, 4621, 4622, 5824, 3769, 1559, 1568, 5713, 5714, 5964, + 5903, 1614, 1615, 5716, + 5717, 5967, 5896, 1567, 1570, 5709, 5710, 5963, 5943, 1610, 1609, 5718, 5719, 5972, 5931, 1571, + 1572, 2753, 5881, 5023, + 5022, 1634, 1632, 2751, 5882, 5033, 5032, 1573, 1574, 3712, 3711, 4294, 2704, 1619, 1621, 3720, + 3719, 4314, 2752, 1572, + 1575, 2890, 3721, 4296, 4295, 1673, 1671, 2873, 3723, 4308, 4306, 1576, 1577, 5876, 5605, 5016, + 2850, 1650, 1652, 5880, + 5628, 5038, 2891, 1575, 1580, 4204, 4205, 6021, 2428, 1586, 1588, 4219, 4220, 6026, 2411, 1578, + 1582, 4207, 2260, 2261, + 4019, 1589, 1590, 4202, 2257, 2258, 4060, 1581, 1583, 2613, 5149, 5011, 5012, 1645, 1643, 2543, + 5180, 4927, 4928, 1584, + 1585, 4221, 4222, 6028, 2569, 1591, 1593, 4197, 4198, 6019, 2612, 1583, 1586, 2427, 5315, 5314, + 3885, 1636, 1635, 2385, + 5342, 5341, 3954, 1587, 1594, 4483, 5522, 5523, 5700, 1661, 1659, 4485, 5520, 5521, 5707, 1596, + 1599, 4841, 3359, 3360, + 4591, 1657, 1658, 4843, 3363, 3364, 4600, 1598, 1602, 3991, 2240, 2241, 4182, 1604, 1605, 3997, + 2246, 2247, 4193, 1601, + 1600, 2710, 2936, 2938, 5778, 1620, 1619, 2705, 3030, 3031, 5787, 1602, 1603, 2845, 3189, 3190, + 5768, 1651, 1650, 2851, + 3282, 3283, 5788, 1605, 1607, 5715, 5528, 5529, 5582, 1611, 1612, 5712, 5530, 5531, 5595, 1606, + 1610, 5944, 3655, 3653, + 3746, 1644, 1645, 5924, 3682, 3681, 3796, 1608, 1614, 5904, 5232, 4989, 2384, 1635, 1637, 5890, + 5250, 4929, 2440, 1613, + 1617, 4958, 4959, 5647, 4486, 1659, 1660, 4955, 4956, 5607, 4447, 1616, 1616, 3724, 3689, 3690, + 4313, 1675, 1674, 3708 ] private def ClayworthSurface_face_edge_data_chunk16 : Array (Fin 6048) := #[ - 3579, 3580, 4302, 1618, 1630, 4783, 3513, 3511, 5037, 1655, 1654, 4815, 3540, 3539, 5035, 1631, 1636, 3886, 3566, 3565, - 3963, 1663, 1662, 3939, 3520, 3518, 4037, 1637, 1639, 4608, 3373, 3375, 4979, 1665, 1666, 4611, 3376, 3378, 5008, 1638, - 1641, 3785, 5395, 5394, 2542, 1643, 1644, 3747, 5421, 5420, 2633, 1640, 1653, 4334, 4915, 4916, 4844, 1658, 1656, 4330, - 4859, 4860, 4816, 1654, 1682, 3624, 3625, 2206, 2204, 1715, 1716, 3617, 3619, 2192, 2191, 1681, 1689, 5237, 5236, 3324, - 3325, 1789, 1788, 5207, 5206, 3334, 3335, 1690, 1691, 3660, 3661, 2199, 2200, 1708, 1707, 3614, 3615, 2210, 2211, 1692, - 1695, 5069, 5213, 3331, 3330, 1709, 1710, 5081, 5210, 3318, 3317, 1694, 1698, 3129, 3453, 2050, 2048, 1721, 1722, 3148, - 3464, 2036, 2035, 1697, 1699, 3445, 3444, 2043, 2044, 1714, 1712, 3466, 3465, 2054, 2056, 1700, 1701, 3385, 5929, 5037, - 5036, 1719, 1718, 3400, 5927, 5028, 5027, 1703, 1704, 5742, 3821, 3819, 5033, 1820, 1819, 5793, 3799, 3798, 5040, 1705, - 1708, 3459, 3457, 2058, 2057, 1718, 1720, 3447, 3446, 2034, 2032, 1706, 1706, 3212, 3213, 4669, 4840, 1767, 1765, 3219, - 3220, 4594, 4818, 1707, 1711, 3665, 3664, 2189, 2190, 1713, 1714, 3638, 3636, 2213, 2214, 1710, 1713, 3224, 3225, 5646, - 4462, 1762, 1763, 3217, 3218, 5604, 4448, 1712, 1717, 5239, 4584, 3314, 3315, 1785, 1786, 5222, 4637, 3337, 3338, 1716, - 1723, 5941, 5598, 5025, 3106, 1821, 1823, 5932, 5630, 5042, 3149, 1722, 1726, 4515, 4516, 6005, 5229, 1830, 1832, 4534, - 4535, 6007, 5215, 1724, 1729, 4522, 4521, 6006, 5169, 1809, 1810, 4533, 4532, 6000, 5140, 1728, 1736, 5570, 5569, 5969, - 5909, 1782, 1783, 5573, 5572, 5960, 5897, 1735, 1739, 5565, 5566, 5968, 5937, 1777, 1778, 5574, 5575, 5971, 5930, 1738, - 1740, 2289, 5884, 4694, 4693, 1802, 1800, 2270, 5880, 4705, 4704, 1741, 1742, 5103, 4926, 3061, 2244, 1787, 1789, 5108, - 4977, 3082, 2288, 1740, 1743, 2133, 5110, 3064, 3063, 1841, 1839, 2113, 5106, 3076, 3074, 1744, 1745, 5877, 5832, 4691, - 2088, 1818, 1820, 5882, 5857, 4710, 2132, 1743, 1748, 2956, 2957, 6039, 3545, 1754, 1756, 2974, 2975, 6041, 3508, 1746, - 1750, 2959, 2718, 2719, 3290, 1757, 1758, 2954, 2720, 2721, 3247, 1749, 1751, 3651, 3815, 3814, 4923, 1813, 1811, 3613, - 3795, 3794, 4854, 1752, 1753, 2976, 2977, 6033, 3627, 1759, 1761, 2949, 2950, 6035, 3652, 1751, 1754, 3544, 5336, 5335, - 5204, 1804, 1803, 3487, 5324, 5323, 5238, 1755, 1762, 4461, 5456, 5457, 5556, 1829, 1827, 4433, 5454, 5455, 5562, 1764, - 1767, 4839, 4119, 4120, 4503, 1825, 1826, 4803, 4115, 4116, 4512, 1766, 1768, 2238, 4184, 4186, 5770, 1788, 1787, 2245, - 4270, 4271, 5786, 1770, 1770, 3222, 2708, 2709, 2934, 1772, 1773, 3216, 2702, 2703, 2945, 1769, 1771, 2083, 3972, 3973, - 5794, 1819, 1818, 2089, 4055, 4056, 5760, 1773, 1775, 5571, 5462, 5463, 5726, 1779, 1780, 5568, 5464, 5465, 5739, 1774, - 1777, 5938, 2616, 2614, 3265, 1812, 1813, 5925, 2594, 2593, 3183, 1776, 1782, 5910, 3942, 3940, 3486, 1803, 1805, 5891, - 3926, 3925, 3564, 1781, 1784, 4469, 2599, 2598, 3081, 1843, 1842, 4394, 2625, 2623, 3070, 1786, 1785, 4724, 4881, 5869 + 3579, 3580, 4302, 1618, 1630, 4783, 3513, 3511, 5037, 1655, 1654, 4815, 3540, 3539, 5035, 1631, + 1636, 3886, 3566, 3565, + 3963, 1663, 1662, 3939, 3520, 3518, 4037, 1637, 1639, 4608, 3373, 3375, 4979, 1665, 1666, 4611, + 3376, 3378, 5008, 1638, + 1641, 3785, 5395, 5394, 2542, 1643, 1644, 3747, 5421, 5420, 2633, 1640, 1653, 4334, 4915, 4916, + 4844, 1658, 1656, 4330, + 4859, 4860, 4816, 1654, 1682, 3624, 3625, 2206, 2204, 1715, 1716, 3617, 3619, 2192, 2191, 1681, + 1689, 5237, 5236, 3324, + 3325, 1789, 1788, 5207, 5206, 3334, 3335, 1690, 1691, 3660, 3661, 2199, 2200, 1708, 1707, 3614, + 3615, 2210, 2211, 1692, + 1695, 5069, 5213, 3331, 3330, 1709, 1710, 5081, 5210, 3318, 3317, 1694, 1698, 3129, 3453, 2050, + 2048, 1721, 1722, 3148, + 3464, 2036, 2035, 1697, 1699, 3445, 3444, 2043, 2044, 1714, 1712, 3466, 3465, 2054, 2056, 1700, + 1701, 3385, 5929, 5037, + 5036, 1719, 1718, 3400, 5927, 5028, 5027, 1703, 1704, 5742, 3821, 3819, 5033, 1820, 1819, 5793, + 3799, 3798, 5040, 1705, + 1708, 3459, 3457, 2058, 2057, 1718, 1720, 3447, 3446, 2034, 2032, 1706, 1706, 3212, 3213, 4669, + 4840, 1767, 1765, 3219, + 3220, 4594, 4818, 1707, 1711, 3665, 3664, 2189, 2190, 1713, 1714, 3638, 3636, 2213, 2214, 1710, + 1713, 3224, 3225, 5646, + 4462, 1762, 1763, 3217, 3218, 5604, 4448, 1712, 1717, 5239, 4584, 3314, 3315, 1785, 1786, 5222, + 4637, 3337, 3338, 1716, + 1723, 5941, 5598, 5025, 3106, 1821, 1823, 5932, 5630, 5042, 3149, 1722, 1726, 4515, 4516, 6005, + 5229, 1830, 1832, 4534, + 4535, 6007, 5215, 1724, 1729, 4522, 4521, 6006, 5169, 1809, 1810, 4533, 4532, 6000, 5140, 1728, + 1736, 5570, 5569, 5969, + 5909, 1782, 1783, 5573, 5572, 5960, 5897, 1735, 1739, 5565, 5566, 5968, 5937, 1777, 1778, 5574, + 5575, 5971, 5930, 1738, + 1740, 2289, 5884, 4694, 4693, 1802, 1800, 2270, 5880, 4705, 4704, 1741, 1742, 5103, 4926, 3061, + 2244, 1787, 1789, 5108, + 4977, 3082, 2288, 1740, 1743, 2133, 5110, 3064, 3063, 1841, 1839, 2113, 5106, 3076, 3074, 1744, + 1745, 5877, 5832, 4691, + 2088, 1818, 1820, 5882, 5857, 4710, 2132, 1743, 1748, 2956, 2957, 6039, 3545, 1754, 1756, 2974, + 2975, 6041, 3508, 1746, + 1750, 2959, 2718, 2719, 3290, 1757, 1758, 2954, 2720, 2721, 3247, 1749, 1751, 3651, 3815, 3814, + 4923, 1813, 1811, 3613, + 3795, 3794, 4854, 1752, 1753, 2976, 2977, 6033, 3627, 1759, 1761, 2949, 2950, 6035, 3652, 1751, + 1754, 3544, 5336, 5335, + 5204, 1804, 1803, 3487, 5324, 5323, 5238, 1755, 1762, 4461, 5456, 5457, 5556, 1829, 1827, 4433, + 5454, 5455, 5562, 1764, + 1767, 4839, 4119, 4120, 4503, 1825, 1826, 4803, 4115, 4116, 4512, 1766, 1768, 2238, 4184, 4186, + 5770, 1788, 1787, 2245, + 4270, 4271, 5786, 1770, 1770, 3222, 2708, 2709, 2934, 1772, 1773, 3216, 2702, 2703, 2945, 1769, + 1771, 2083, 3972, 3973, + 5794, 1819, 1818, 2089, 4055, 4056, 5760, 1773, 1775, 5571, 5462, 5463, 5726, 1779, 1780, 5568, + 5464, 5465, 5739, 1774, + 1777, 5938, 2616, 2614, 3265, 1812, 1813, 5925, 2594, 2593, 3183, 1776, 1782, 5910, 3942, 3940, + 3486, 1803, 1805, 5891, + 3926, 3925, 3564, 1781, 1784, 4469, 2599, 2598, 3081, 1843, 1842, 4394, 2625, 2623, 3070, 1786, + 1785, 4724, 4881, 5869 ] private def ClayworthSurface_face_edge_data_chunk17 : Array (Fin 6048) := #[ - 4434, 1827, 1828, 4721, 4879, 5836, 4470, 1784, 1798, 4770, 2469, 2467, 4699, 1823, 1822, 4851, 2443, 2442, 4709, 1799, - 1804, 5205, 2438, 2437, 3182, 1831, 1830, 5230, 2460, 2458, 3295, 1805, 1807, 4520, 4129, 4130, 4896, 1833, 1834, 4523, - 4127, 4128, 4920, 1806, 1809, 5168, 5415, 5414, 3612, 1811, 1812, 5127, 5403, 5402, 3663, 1808, 1821, 3107, 5002, 5003, - 4804, 1826, 1824, 3102, 4934, 4935, 4852, 1822, 1850, 3637, 3638, 2044, 2042, 1883, 1884, 3604, 3606, 2028, 2027, 1849, - 1857, 3834, 3835, 4307, 4308, 1957, 1956, 3865, 3866, 4303, 4304, 1858, 1859, 3704, 3705, 2049, 2050, 1876, 1875, 3607, - 3608, 2046, 2047, 1860, 1863, 3863, 3864, 4302, 4301, 1877, 1878, 3859, 3861, 4291, 4290, 1862, 1866, 3458, 3459, 2200, - 2198, 1889, 1890, 3454, 3456, 2184, 2183, 1865, 1867, 3432, 3433, 2205, 2206, 1882, 1880, 3460, 3461, 2201, 2203, 1868, - 1869, 4371, 5360, 5503, 5502, 1887, 1886, 4372, 5358, 5494, 5493, 1871, 1872, 5346, 5171, 5172, 5507, 1988, 1987, 5361, - 5159, 5160, 5504, 1873, 1876, 3453, 3452, 2207, 2208, 1886, 1888, 3440, 3439, 2173, 2174, 1874, 1874, 2971, 2973, 4917, - 4825, 1934, 1933, 2965, 2966, 4864, 4817, 1875, 1879, 3707, 3706, 2017, 2018, 1881, 1882, 3625, 3623, 2051, 2052, 1878, - 1881, 2961, 2962, 5737, 4482, 1930, 1931, 2967, 2968, 5703, 4449, 1880, 1885, 3843, 3842, 4284, 4285, 1953, 1954, 3858, - 3857, 4309, 4310, 1884, 1891, 5350, 5349, 5490, 4117, 1989, 1991, 5357, 5356, 5508, 4152, 1890, 1894, 4949, 4951, 5831, - 3918, 1998, 2000, 4961, 4962, 5817, 3906, 1892, 1897, 4946, 4945, 5830, 3812, 1977, 1978, 4965, 4964, 5808, 3771, 1896, - 1904, 5843, 5842, 5688, 5333, 1950, 1951, 5852, 5851, 5672, 5307, 1903, 1907, 5821, 5846, 5687, 5396, 1945, 1946, 5816, - 5849, 5692, 5384, 1906, 1910, 3715, 3714, 4078, 2086, 1955, 1957, 3723, 3722, 4098, 2138, 1908, 1908, 2139, 5282, 5432, - 5431, 1970, 1968, 2136, 5277, 5441, 5440, 1909, 1911, 2294, 3727, 4080, 4079, 2009, 2007, 2292, 3720, 4092, 4090, 1912, - 1913, 5273, 5272, 5430, 2242, 1986, 1988, 5280, 5279, 5446, 2295, 1911, 1916, 3201, 3202, 5987, 3522, 1922, 1924, 3228, - 3229, 5993, 3506, 1914, 1918, 3206, 2862, 2863, 2995, 1925, 1926, 3211, 2864, 2865, 3038, 1917, 1919, 3673, 5170, 4656, - 4657, 1981, 1979, 3611, 5158, 4588, 4589, 1920, 1921, 3226, 3227, 6047, 3635, 1927, 1929, 3207, 3209, 6045, 3674, 1919, - 1922, 3521, 5911, 5639, 3883, 1972, 1971, 3485, 5906, 5600, 3928, 1923, 1930, 4481, 4725, 4726, 5840, 1997, 1995, 4435, - 4722, 4723, 5835, 1932, 1934, 4614, 3108, 3109, 4941, 1994, 1993, 4618, 3103, 3104, 4932, 1935, 1938, 2963, 2852, 2853, - 3197, 1940, 1941, 2970, 2846, 2847, 3186, 1937, 1936, 2092, 3967, 3969, 5795, 1956, 1955, 2087, 4053, 4054, 5775, 1938, - 1939, 2249, 4190, 4191, 5766, 1987, 1986, 2243, 4272, 4273, 5789, 1941, 1943, 5845, 4733, 4732, 5632, 1947, 1948, 5847, - 4736, 4735, 5648, 1942, 1945, 5397, 2582, 2580, 3043, 1980, 1981, 5372, 2635, 2634, 2929, 1944, 1950, 5334, 5247, 4676, - 3484, 1971, 1973, 5293, 5240, 4586, 3532, 1949, 1952, 3728, 2606, 2607, 4097, 2011, 2010, 3713, 2572, 2573, 4086, 1954 + 4434, 1827, 1828, 4721, 4879, 5836, 4470, 1784, 1798, 4770, 2469, 2467, 4699, 1823, 1822, 4851, + 2443, 2442, 4709, 1799, + 1804, 5205, 2438, 2437, 3182, 1831, 1830, 5230, 2460, 2458, 3295, 1805, 1807, 4520, 4129, 4130, + 4896, 1833, 1834, 4523, + 4127, 4128, 4920, 1806, 1809, 5168, 5415, 5414, 3612, 1811, 1812, 5127, 5403, 5402, 3663, 1808, + 1821, 3107, 5002, 5003, + 4804, 1826, 1824, 3102, 4934, 4935, 4852, 1822, 1850, 3637, 3638, 2044, 2042, 1883, 1884, 3604, + 3606, 2028, 2027, 1849, + 1857, 3834, 3835, 4307, 4308, 1957, 1956, 3865, 3866, 4303, 4304, 1858, 1859, 3704, 3705, 2049, + 2050, 1876, 1875, 3607, + 3608, 2046, 2047, 1860, 1863, 3863, 3864, 4302, 4301, 1877, 1878, 3859, 3861, 4291, 4290, 1862, + 1866, 3458, 3459, 2200, + 2198, 1889, 1890, 3454, 3456, 2184, 2183, 1865, 1867, 3432, 3433, 2205, 2206, 1882, 1880, 3460, + 3461, 2201, 2203, 1868, + 1869, 4371, 5360, 5503, 5502, 1887, 1886, 4372, 5358, 5494, 5493, 1871, 1872, 5346, 5171, 5172, + 5507, 1988, 1987, 5361, + 5159, 5160, 5504, 1873, 1876, 3453, 3452, 2207, 2208, 1886, 1888, 3440, 3439, 2173, 2174, 1874, + 1874, 2971, 2973, 4917, + 4825, 1934, 1933, 2965, 2966, 4864, 4817, 1875, 1879, 3707, 3706, 2017, 2018, 1881, 1882, 3625, + 3623, 2051, 2052, 1878, + 1881, 2961, 2962, 5737, 4482, 1930, 1931, 2967, 2968, 5703, 4449, 1880, 1885, 3843, 3842, 4284, + 4285, 1953, 1954, 3858, + 3857, 4309, 4310, 1884, 1891, 5350, 5349, 5490, 4117, 1989, 1991, 5357, 5356, 5508, 4152, 1890, + 1894, 4949, 4951, 5831, + 3918, 1998, 2000, 4961, 4962, 5817, 3906, 1892, 1897, 4946, 4945, 5830, 3812, 1977, 1978, 4965, + 4964, 5808, 3771, 1896, + 1904, 5843, 5842, 5688, 5333, 1950, 1951, 5852, 5851, 5672, 5307, 1903, 1907, 5821, 5846, 5687, + 5396, 1945, 1946, 5816, + 5849, 5692, 5384, 1906, 1910, 3715, 3714, 4078, 2086, 1955, 1957, 3723, 3722, 4098, 2138, 1908, + 1908, 2139, 5282, 5432, + 5431, 1970, 1968, 2136, 5277, 5441, 5440, 1909, 1911, 2294, 3727, 4080, 4079, 2009, 2007, 2292, + 3720, 4092, 4090, 1912, + 1913, 5273, 5272, 5430, 2242, 1986, 1988, 5280, 5279, 5446, 2295, 1911, 1916, 3201, 3202, 5987, + 3522, 1922, 1924, 3228, + 3229, 5993, 3506, 1914, 1918, 3206, 2862, 2863, 2995, 1925, 1926, 3211, 2864, 2865, 3038, 1917, + 1919, 3673, 5170, 4656, + 4657, 1981, 1979, 3611, 5158, 4588, 4589, 1920, 1921, 3226, 3227, 6047, 3635, 1927, 1929, 3207, + 3209, 6045, 3674, 1919, + 1922, 3521, 5911, 5639, 3883, 1972, 1971, 3485, 5906, 5600, 3928, 1923, 1930, 4481, 4725, 4726, + 5840, 1997, 1995, 4435, + 4722, 4723, 5835, 1932, 1934, 4614, 3108, 3109, 4941, 1994, 1993, 4618, 3103, 3104, 4932, 1935, + 1938, 2963, 2852, 2853, + 3197, 1940, 1941, 2970, 2846, 2847, 3186, 1937, 1936, 2092, 3967, 3969, 5795, 1956, 1955, 2087, + 4053, 4054, 5775, 1938, + 1939, 2249, 4190, 4191, 5766, 1987, 1986, 2243, 4272, 4273, 5789, 1941, 1943, 5845, 4733, 4732, + 5632, 1947, 1948, 5847, + 4736, 4735, 5648, 1942, 1945, 5397, 2582, 2580, 3043, 1980, 1981, 5372, 2635, 2634, 2929, 1944, + 1950, 5334, 5247, 4676, + 3484, 1971, 1973, 5293, 5240, 4586, 3532, 1949, 1952, 3728, 2606, 2607, 4097, 2011, 2010, 3713, + 2572, 2573, 4086, 1954 ] private def ClayworthSurface_face_edge_data_chunk18 : Array (Fin 6048) := #[ - 1953, 4612, 4613, 5594, 4436, 1995, 1996, 4616, 4617, 5561, 4496, 1952, 1966, 4772, 2416, 2417, 5437, 1991, 1990, 4830, - 2450, 2451, 5445, 1967, 1972, 3884, 2479, 2478, 2932, 1999, 1998, 3919, 2426, 2424, 3013, 1973, 1975, 4953, 3120, 3122, - 4673, 2001, 2002, 4948, 3117, 3119, 4640, 1974, 1977, 3813, 5945, 5649, 3610, 1979, 1980, 3748, 5942, 5599, 3684, 1976, - 1989, 4118, 4575, 4576, 4802, 1993, 1992, 4114, 4509, 4510, 4831, 1990, 2025, 4766, 4765, 3916, 3917, 2120, 2119, 4719, - 4718, 3866, 3867, 2026, 2031, 4744, 4745, 3919, 3918, 2045, 2046, 4715, 4717, 3841, 3840, 2030, 2037, 3893, 4142, 5938, - 5937, 2055, 2054, 3929, 4111, 5936, 5935, 2039, 2040, 4171, 3779, 3780, 5939, 2145, 2144, 4113, 3797, 3799, 5926, 2041, - 2043, 3949, 4275, 5592, 3256, 2097, 2098, 3874, 4257, 5571, 3297, 2042, 2049, 4242, 4240, 4983, 3004, 2094, 2095, 4262, - 4261, 4948, 3045, 2048, 2053, 4768, 4767, 3846, 3845, 2116, 2117, 4742, 4741, 3860, 3859, 2052, 2059, 4173, 4172, 4944, - 3420, 2147, 2148, 4140, 4138, 4973, 3400, 2057, 2060, 4660, 5802, 5723, 4757, 2156, 2155, 4673, 5807, 5737, 4759, 2061, - 2065, 5781, 5800, 5724, 5276, 2136, 2137, 5755, 5808, 5729, 5305, 2064, 2072, 5782, 5958, 4636, 4635, 2113, 2114, 5772, - 5960, 4650, 4648, 2071, 2075, 5733, 5956, 4634, 4160, 2108, 2110, 5739, 5961, 4669, 4162, 2073, 2078, 5269, 5268, 3313, - 3311, 2118, 2120, 5317, 5316, 3327, 3326, 2076, 2076, 3691, 5109, 5501, 5500, 2131, 2129, 3656, 5149, 5544, 5543, 2077, - 2079, 3533, 5281, 3308, 3307, 2166, 2164, 3516, 5315, 3390, 3389, 2080, 2081, 5101, 5100, 5499, 3494, 2143, 2145, 5151, - 5150, 5510, 3534, 2079, 2094, 3003, 4347, 4348, 5952, 2154, 2152, 3032, 4351, 4352, 5955, 2096, 2097, 3255, 4549, 5093, - 5799, 2151, 2149, 3284, 4531, 5082, 5796, 2099, 2100, 3594, 4553, 4780, 6020, 2119, 2118, 3639, 4530, 4845, 6023, 2102, - 2103, 3489, 4404, 4405, 6025, 2144, 2143, 3495, 4487, 4488, 6018, 2105, 2107, 5959, 4382, 4380, 4670, 2111, 2112, 5957, - 4340, 4338, 4646, 2106, 2108, 4161, 2877, 2875, 4232, 2139, 2138, 4099, 2924, 2923, 4199, 2109, 2116, 4547, 4548, 6009, - 3033, 2152, 2153, 4551, 4552, 5995, 2989, 2115, 2115, 2988, 2897, 2896, 3333, 2168, 2167, 2951, 2869, 2868, 3387, 2117, - 2127, 3203, 2769, 2770, 5546, 2148, 2146, 3240, 2746, 2747, 5513, 2128, 2132, 4711, 2743, 2742, 4194, 2157, 2156, 4758, - 2761, 2760, 4234, 2133, 2135, 5803, 5060, 5059, 4577, 2158, 2159, 5801, 5089, 5088, 4525, 2134, 2147, 3419, 5694, 5695, - 3285, 2149, 2150, 3341, 5658, 5659, 3241, 2146, 2182, 3175, 3174, 5147, 5395, 2275, 2276, 3100, 3099, 5159, 5362, 2181, - 2186, 3134, 3136, 5397, 5396, 2202, 2201, 3096, 3098, 5348, 5347, 2187, 2194, 5378, 5471, 5230, 5229, 2212, 2210, 5404, - 5451, 5226, 5225, 2195, 2196, 5486, 5312, 5231, 5232, 2301, 2300, 5452, 5325, 5206, 5208, 2197, 2199, 4021, 4020, 4573, - 3281, 2253, 2254, 4046, 4045, 4523, 3264, 2198, 2205, 4057, 4058, 5859, 3029, 2250, 2251, 4039, 4040, 5845, 3012, 2204, - 2209, 3177, 3176, 4517, 4349, 2272, 2273, 3133, 3131, 4542, 4372, 2208, 2215, 5488, 5487, 5227, 5092, 2303, 2304, 5469 + 1953, 4612, 4613, 5594, 4436, 1995, 1996, 4616, 4617, 5561, 4496, 1952, 1966, 4772, 2416, 2417, + 5437, 1991, 1990, 4830, + 2450, 2451, 5445, 1967, 1972, 3884, 2479, 2478, 2932, 1999, 1998, 3919, 2426, 2424, 3013, 1973, + 1975, 4953, 3120, 3122, + 4673, 2001, 2002, 4948, 3117, 3119, 4640, 1974, 1977, 3813, 5945, 5649, 3610, 1979, 1980, 3748, + 5942, 5599, 3684, 1976, + 1989, 4118, 4575, 4576, 4802, 1993, 1992, 4114, 4509, 4510, 4831, 1990, 2025, 4766, 4765, 3916, + 3917, 2120, 2119, 4719, + 4718, 3866, 3867, 2026, 2031, 4744, 4745, 3919, 3918, 2045, 2046, 4715, 4717, 3841, 3840, 2030, + 2037, 3893, 4142, 5938, + 5937, 2055, 2054, 3929, 4111, 5936, 5935, 2039, 2040, 4171, 3779, 3780, 5939, 2145, 2144, 4113, + 3797, 3799, 5926, 2041, + 2043, 3949, 4275, 5592, 3256, 2097, 2098, 3874, 4257, 5571, 3297, 2042, 2049, 4242, 4240, 4983, + 3004, 2094, 2095, 4262, + 4261, 4948, 3045, 2048, 2053, 4768, 4767, 3846, 3845, 2116, 2117, 4742, 4741, 3860, 3859, 2052, + 2059, 4173, 4172, 4944, + 3420, 2147, 2148, 4140, 4138, 4973, 3400, 2057, 2060, 4660, 5802, 5723, 4757, 2156, 2155, 4673, + 5807, 5737, 4759, 2061, + 2065, 5781, 5800, 5724, 5276, 2136, 2137, 5755, 5808, 5729, 5305, 2064, 2072, 5782, 5958, 4636, + 4635, 2113, 2114, 5772, + 5960, 4650, 4648, 2071, 2075, 5733, 5956, 4634, 4160, 2108, 2110, 5739, 5961, 4669, 4162, 2073, + 2078, 5269, 5268, 3313, + 3311, 2118, 2120, 5317, 5316, 3327, 3326, 2076, 2076, 3691, 5109, 5501, 5500, 2131, 2129, 3656, + 5149, 5544, 5543, 2077, + 2079, 3533, 5281, 3308, 3307, 2166, 2164, 3516, 5315, 3390, 3389, 2080, 2081, 5101, 5100, 5499, + 3494, 2143, 2145, 5151, + 5150, 5510, 3534, 2079, 2094, 3003, 4347, 4348, 5952, 2154, 2152, 3032, 4351, 4352, 5955, 2096, + 2097, 3255, 4549, 5093, + 5799, 2151, 2149, 3284, 4531, 5082, 5796, 2099, 2100, 3594, 4553, 4780, 6020, 2119, 2118, 3639, + 4530, 4845, 6023, 2102, + 2103, 3489, 4404, 4405, 6025, 2144, 2143, 3495, 4487, 4488, 6018, 2105, 2107, 5959, 4382, 4380, + 4670, 2111, 2112, 5957, + 4340, 4338, 4646, 2106, 2108, 4161, 2877, 2875, 4232, 2139, 2138, 4099, 2924, 2923, 4199, 2109, + 2116, 4547, 4548, 6009, + 3033, 2152, 2153, 4551, 4552, 5995, 2989, 2115, 2115, 2988, 2897, 2896, 3333, 2168, 2167, 2951, + 2869, 2868, 3387, 2117, + 2127, 3203, 2769, 2770, 5546, 2148, 2146, 3240, 2746, 2747, 5513, 2128, 2132, 4711, 2743, 2742, + 4194, 2157, 2156, 4758, + 2761, 2760, 4234, 2133, 2135, 5803, 5060, 5059, 4577, 2158, 2159, 5801, 5089, 5088, 4525, 2134, + 2147, 3419, 5694, 5695, + 3285, 2149, 2150, 3341, 5658, 5659, 3241, 2146, 2182, 3175, 3174, 5147, 5395, 2275, 2276, 3100, + 3099, 5159, 5362, 2181, + 2186, 3134, 3136, 5397, 5396, 2202, 2201, 3096, 3098, 5348, 5347, 2187, 2194, 5378, 5471, 5230, + 5229, 2212, 2210, 5404, + 5451, 5226, 5225, 2195, 2196, 5486, 5312, 5231, 5232, 2301, 2300, 5452, 5325, 5206, 5208, 2197, + 2199, 4021, 4020, 4573, + 3281, 2253, 2254, 4046, 4045, 4523, 3264, 2198, 2205, 4057, 4058, 5859, 3029, 2250, 2251, 4039, + 4040, 5845, 3012, 2204, + 2209, 3177, 3176, 4517, 4349, 2272, 2273, 3133, 3131, 4542, 4372, 2208, 2215, 5488, 5487, 5227, + 5092, 2303, 2304, 5469 ] private def ClayworthSurface_face_edge_data_chunk19 : Array (Fin 6048) := #[ - 5468, 5209, 5081, 2214, 2218, 5641, 5662, 4891, 3159, 2311, 2312, 5648, 5673, 4917, 3161, 2216, 2221, 5665, 5666, 4895, - 3719, 2292, 2293, 5671, 5672, 4912, 3767, 2219, 2227, 5773, 5998, 5629, 5628, 2270, 2269, 5771, 6000, 5637, 5635, 2228, - 2229, 4898, 5996, 5627, 5479, 2266, 2265, 4896, 6001, 5646, 5481, 2230, 2232, 3540, 5883, 4300, 4299, 2287, 2285, 3537, - 5902, 4375, 4374, 2234, 2233, 3710, 3709, 5024, 3492, 2274, 2275, 3785, 3784, 5034, 3539, 2232, 2235, 3689, 3725, 5021, - 5020, 2322, 2320, 3687, 3783, 5074, 5072, 2236, 2237, 5875, 5874, 4298, 3640, 2299, 2301, 5904, 5903, 4312, 3690, 2235, - 2250, 3028, 5006, 5532, 5991, 2310, 2308, 3030, 4954, 5533, 5977, 2252, 2253, 3280, 3421, 3422, 5655, 2307, 2305, 3282, - 3401, 3402, 5660, 2255, 2256, 3498, 4400, 4401, 6024, 2276, 2274, 3493, 4485, 4486, 6027, 2258, 2259, 3589, 4774, 4776, - 5990, 2300, 2299, 3641, 4843, 4844, 5976, 2261, 2263, 5999, 5550, 5549, 4959, 2267, 2268, 5997, 5525, 5524, 4980, 2262, - 2266, 5480, 2905, 2903, 3726, 2294, 2295, 5447, 2887, 2886, 3716, 2264, 2271, 2990, 2890, 2891, 5039, 2324, 2323, 2946, - 2912, 2914, 5071, 2273, 2272, 4350, 5582, 5973, 3031, 2308, 2309, 4325, 5583, 5954, 2991, 2271, 2283, 3199, 2726, 2724, - 4377, 2304, 2302, 3242, 2753, 2752, 4315, 2284, 2288, 3083, 2780, 2779, 3981, 2313, 2311, 3160, 2733, 2731, 4013, 2289, - 2291, 5664, 3372, 3370, 4913, 2314, 2315, 5667, 3416, 3415, 4915, 2290, 2303, 5007, 5008, 5826, 3283, 2305, 2306, 4992, - 4993, 5797, 3243, 2302, 2335, 4690, 4689, 3388, 3390, 2427, 2428, 4701, 4700, 3352, 3353, 2334, 2339, 4383, 4742, 3387, - 3386, 2354, 2353, 4368, 4707, 3429, 3428, 2340, 2345, 3381, 5469, 4377, 4376, 2363, 2362, 3404, 5443, 4365, 4364, 2346, - 2348, 5429, 3755, 3754, 4375, 2457, 2456, 5438, 3807, 3805, 4328, 2349, 2351, 3403, 4794, 5693, 3279, 2407, 2408, 3342, - 4798, 5657, 3245, 2350, 2357, 4353, 4801, 5972, 3006, 2404, 2405, 4324, 4797, 5953, 2992, 2356, 2361, 4686, 4685, 3427, - 3425, 2425, 2426, 4745, 4743, 3356, 3355, 2360, 2367, 5426, 5425, 4367, 3932, 2459, 2460, 5471, 5470, 4326, 3934, 2365, - 2369, 4519, 4520, 5731, 4698, 2467, 2468, 4554, 4555, 5736, 4730, 2368, 2373, 4504, 4503, 5732, 5335, 2447, 2448, 4557, - 4556, 5717, 5337, 2372, 2380, 4942, 4941, 5640, 5639, 2422, 2423, 4999, 4998, 5620, 5618, 2379, 2382, 4952, 4953, 5638, - 5436, 2417, 2418, 5000, 5001, 5645, 5460, 2381, 2389, 4416, 4417, 6046, 2758, 2396, 2398, 4433, 4434, 6043, 2721, 2388, - 2392, 4419, 3505, 3506, 4848, 2399, 2400, 4415, 3507, 3508, 4819, 2391, 2395, 4435, 4436, 6030, 2865, 2401, 2402, 4410, - 4411, 6032, 2902, 2393, 2393, 2901, 3813, 3812, 5444, 2451, 2449, 2843, 3718, 3717, 5433, 2394, 2396, 2757, 5168, 5169, - 4708, 2442, 2441, 2699, 5104, 5105, 4695, 2397, 2404, 3005, 5948, 5947, 4945, 2465, 2464, 2974, 5919, 5918, 4935, 2406, - 2407, 3278, 5405, 5406, 4521, 2463, 2461, 3228, 5418, 5419, 4510, 2409, 2411, 4799, 3496, 3497, 4397, 2412, 2413, 4796, - 3490, 3491, 4407, 2410, 2415, 4940, 4939, 5642, 5643, 2419, 2420, 4951, 4950, 5621, 5622, 2414, 2422, 5911, 3158, 3157 + 5468, 5209, 5081, 2214, 2218, 5641, 5662, 4891, 3159, 2311, 2312, 5648, 5673, 4917, 3161, 2216, + 2221, 5665, 5666, 4895, + 3719, 2292, 2293, 5671, 5672, 4912, 3767, 2219, 2227, 5773, 5998, 5629, 5628, 2270, 2269, 5771, + 6000, 5637, 5635, 2228, + 2229, 4898, 5996, 5627, 5479, 2266, 2265, 4896, 6001, 5646, 5481, 2230, 2232, 3540, 5883, 4300, + 4299, 2287, 2285, 3537, + 5902, 4375, 4374, 2234, 2233, 3710, 3709, 5024, 3492, 2274, 2275, 3785, 3784, 5034, 3539, 2232, + 2235, 3689, 3725, 5021, + 5020, 2322, 2320, 3687, 3783, 5074, 5072, 2236, 2237, 5875, 5874, 4298, 3640, 2299, 2301, 5904, + 5903, 4312, 3690, 2235, + 2250, 3028, 5006, 5532, 5991, 2310, 2308, 3030, 4954, 5533, 5977, 2252, 2253, 3280, 3421, 3422, + 5655, 2307, 2305, 3282, + 3401, 3402, 5660, 2255, 2256, 3498, 4400, 4401, 6024, 2276, 2274, 3493, 4485, 4486, 6027, 2258, + 2259, 3589, 4774, 4776, + 5990, 2300, 2299, 3641, 4843, 4844, 5976, 2261, 2263, 5999, 5550, 5549, 4959, 2267, 2268, 5997, + 5525, 5524, 4980, 2262, + 2266, 5480, 2905, 2903, 3726, 2294, 2295, 5447, 2887, 2886, 3716, 2264, 2271, 2990, 2890, 2891, + 5039, 2324, 2323, 2946, + 2912, 2914, 5071, 2273, 2272, 4350, 5582, 5973, 3031, 2308, 2309, 4325, 5583, 5954, 2991, 2271, + 2283, 3199, 2726, 2724, + 4377, 2304, 2302, 3242, 2753, 2752, 4315, 2284, 2288, 3083, 2780, 2779, 3981, 2313, 2311, 3160, + 2733, 2731, 4013, 2289, + 2291, 5664, 3372, 3370, 4913, 2314, 2315, 5667, 3416, 3415, 4915, 2290, 2303, 5007, 5008, 5826, + 3283, 2305, 2306, 4992, + 4993, 5797, 3243, 2302, 2335, 4690, 4689, 3388, 3390, 2427, 2428, 4701, 4700, 3352, 3353, 2334, + 2339, 4383, 4742, 3387, + 3386, 2354, 2353, 4368, 4707, 3429, 3428, 2340, 2345, 3381, 5469, 4377, 4376, 2363, 2362, 3404, + 5443, 4365, 4364, 2346, + 2348, 5429, 3755, 3754, 4375, 2457, 2456, 5438, 3807, 3805, 4328, 2349, 2351, 3403, 4794, 5693, + 3279, 2407, 2408, 3342, + 4798, 5657, 3245, 2350, 2357, 4353, 4801, 5972, 3006, 2404, 2405, 4324, 4797, 5953, 2992, 2356, + 2361, 4686, 4685, 3427, + 3425, 2425, 2426, 4745, 4743, 3356, 3355, 2360, 2367, 5426, 5425, 4367, 3932, 2459, 2460, 5471, + 5470, 4326, 3934, 2365, + 2369, 4519, 4520, 5731, 4698, 2467, 2468, 4554, 4555, 5736, 4730, 2368, 2373, 4504, 4503, 5732, + 5335, 2447, 2448, 4557, + 4556, 5717, 5337, 2372, 2380, 4942, 4941, 5640, 5639, 2422, 2423, 4999, 4998, 5620, 5618, 2379, + 2382, 4952, 4953, 5638, + 5436, 2417, 2418, 5000, 5001, 5645, 5460, 2381, 2389, 4416, 4417, 6046, 2758, 2396, 2398, 4433, + 4434, 6043, 2721, 2388, + 2392, 4419, 3505, 3506, 4848, 2399, 2400, 4415, 3507, 3508, 4819, 2391, 2395, 4435, 4436, 6030, + 2865, 2401, 2402, 4410, + 4411, 6032, 2902, 2393, 2393, 2901, 3813, 3812, 5444, 2451, 2449, 2843, 3718, 3717, 5433, 2394, + 2396, 2757, 5168, 5169, + 4708, 2442, 2441, 2699, 5104, 5105, 4695, 2397, 2404, 3005, 5948, 5947, 4945, 2465, 2464, 2974, + 5919, 5918, 4935, 2406, + 2407, 3278, 5405, 5406, 4521, 2463, 2461, 3228, 5418, 5419, 4510, 2409, 2411, 4799, 3496, 3497, + 4397, 2412, 2413, 4796, + 3490, 3491, 4407, 2410, 2415, 4940, 4939, 5642, 5643, 2419, 2420, 4951, 4950, 5621, 5622, 2414, + 2422, 5911, 3158, 3157 ] private def ClayworthSurface_face_edge_data_chunk20 : Array (Fin 6048) := #[ - 2698, 2441, 2443, 5885, 3068, 3067, 2778, 2421, 2425, 5255, 5806, 5861, 2975, 2464, 2466, 5195, 5805, 5835, 3014, 2424, - 2445, 4516, 4514, 5416, 5718, 2470, 2471, 4507, 4506, 5383, 5734, 2444, 2447, 5336, 4158, 4159, 2842, 2449, 2450, 5283, - 4083, 4084, 2922, 2446, 2459, 3933, 5591, 5590, 3229, 2461, 2462, 3877, 5563, 5562, 3296, 2458, 2490, 3060, 3059, 5073, - 5074, 2584, 2583, 3072, 3071, 5047, 5048, 2491, 2495, 3132, 3133, 5071, 5070, 2510, 2509, 3078, 3079, 5098, 5097, 2496, - 2501, 4139, 4140, 5546, 5545, 2519, 2518, 4094, 4095, 5540, 5539, 2502, 2504, 4077, 4076, 5298, 5544, 2613, 2612, 4089, - 4087, 5330, 5518, 2505, 2507, 4430, 4432, 5827, 3258, 2563, 2564, 4424, 4425, 5798, 3244, 2506, 2513, 4420, 4421, 6008, - 3027, 2560, 2561, 4426, 4427, 5994, 2993, 2512, 2517, 3056, 3055, 5095, 5096, 2581, 2582, 3136, 3135, 5050, 5051, 2516, - 2523, 4073, 4072, 5541, 5407, 2615, 2616, 4142, 4141, 5516, 5409, 2522, 2525, 4659, 5568, 4925, 3069, 2623, 2624, 4672, - 5584, 4900, 3115, 2524, 2529, 5557, 5556, 4924, 3814, 2603, 2604, 5586, 5585, 4884, 3816, 2527, 2536, 5841, 5840, 4658, - 4656, 2578, 2579, 5867, 5866, 4622, 4620, 2535, 2538, 4908, 5847, 4655, 4085, 2573, 2574, 4897, 5868, 4668, 4125, 2537, - 2545, 4784, 4786, 5989, 2735, 2552, 2554, 4803, 4804, 5981, 2719, 2544, 2548, 4789, 3634, 3635, 4451, 2555, 2556, 4793, - 3626, 3627, 4492, 2547, 2549, 2878, 5334, 5333, 4096, 2607, 2605, 2841, 5275, 5274, 4082, 2550, 2551, 4618, 4802, 6037, - 2863, 2557, 2558, 4645, 4791, 6040, 2879, 2549, 2552, 2734, 5910, 5909, 3080, 2598, 2597, 2697, 5879, 5878, 3066, 2553, - 2560, 3026, 5253, 5254, 5842, 2621, 2620, 2976, 5188, 5189, 5836, 2562, 2563, 3257, 3930, 3931, 5569, 2619, 2617, 3226, - 3950, 3951, 5561, 2565, 2567, 4423, 3642, 3643, 4782, 2568, 2569, 4429, 3644, 3645, 4773, 2566, 2571, 5839, 5217, 4665, - 4666, 2575, 2576, 5846, 5248, 4623, 4624, 2570, 2578, 5170, 4756, 4754, 2696, 2597, 2599, 5111, 4697, 4696, 2745, 2577, - 2581, 5668, 4985, 4986, 2977, 2620, 2622, 5670, 4931, 4932, 3044, 2580, 2601, 5566, 3945, 3943, 4882, 2626, 2627, 5559, - 3904, 3903, 4901, 2600, 2603, 3815, 5478, 5477, 2840, 2605, 2606, 3729, 5435, 5434, 2889, 2602, 2615, 5408, 4571, 4572, - 3227, 2617, 2618, 5367, 4511, 4512, 3266, 2614, 2647, 5552, 5328, 3941, 3942, 2734, 2735, 5519, 5330, 3871, 3873, 2646, - 2651, 5377, 5537, 3939, 3938, 2666, 2665, 5409, 5517, 3855, 3854, 2652, 2657, 3892, 4358, 5413, 5412, 2675, 2674, 3934, - 4327, 5355, 5354, 2659, 2661, 4387, 3802, 3803, 5415, 2757, 2758, 4329, 3805, 3806, 5365, 2660, 2662, 3248, 3250, 5645, - 4269, 2716, 2715, 3273, 3274, 5617, 4254, 2663, 2669, 3287, 3286, 4668, 4028, 2712, 2713, 3268, 3267, 4611, 4065, 2668, - 2673, 5554, 5553, 3852, 3851, 2732, 2733, 5535, 5534, 3869, 3868, 2672, 2679, 4389, 4388, 4605, 3125, 2759, 2761, 4356, - 4354, 4632, 3153, 2678, 2680, 4981, 5803, 5853, 5545, 2770, 2768, 4979, 5825, 5870, 5547, 2681, 2684, 5774, 5799, 5858, - 5857, 2751, 2750, 5757, 5824, 5866, 5865, 2685, 2692, 5654, 5655, 4978, 4977, 2729, 2730, 5684, 5685, 4998, 4997, 2691 + 2698, 2441, 2443, 5885, 3068, 3067, 2778, 2421, 2425, 5255, 5806, 5861, 2975, 2464, 2466, 5195, + 5805, 5835, 3014, 2424, + 2445, 4516, 4514, 5416, 5718, 2470, 2471, 4507, 4506, 5383, 5734, 2444, 2447, 5336, 4158, 4159, + 2842, 2449, 2450, 5283, + 4083, 4084, 2922, 2446, 2459, 3933, 5591, 5590, 3229, 2461, 2462, 3877, 5563, 5562, 3296, 2458, + 2490, 3060, 3059, 5073, + 5074, 2584, 2583, 3072, 3071, 5047, 5048, 2491, 2495, 3132, 3133, 5071, 5070, 2510, 2509, 3078, + 3079, 5098, 5097, 2496, + 2501, 4139, 4140, 5546, 5545, 2519, 2518, 4094, 4095, 5540, 5539, 2502, 2504, 4077, 4076, 5298, + 5544, 2613, 2612, 4089, + 4087, 5330, 5518, 2505, 2507, 4430, 4432, 5827, 3258, 2563, 2564, 4424, 4425, 5798, 3244, 2506, + 2513, 4420, 4421, 6008, + 3027, 2560, 2561, 4426, 4427, 5994, 2993, 2512, 2517, 3056, 3055, 5095, 5096, 2581, 2582, 3136, + 3135, 5050, 5051, 2516, + 2523, 4073, 4072, 5541, 5407, 2615, 2616, 4142, 4141, 5516, 5409, 2522, 2525, 4659, 5568, 4925, + 3069, 2623, 2624, 4672, + 5584, 4900, 3115, 2524, 2529, 5557, 5556, 4924, 3814, 2603, 2604, 5586, 5585, 4884, 3816, 2527, + 2536, 5841, 5840, 4658, + 4656, 2578, 2579, 5867, 5866, 4622, 4620, 2535, 2538, 4908, 5847, 4655, 4085, 2573, 2574, 4897, + 5868, 4668, 4125, 2537, + 2545, 4784, 4786, 5989, 2735, 2552, 2554, 4803, 4804, 5981, 2719, 2544, 2548, 4789, 3634, 3635, + 4451, 2555, 2556, 4793, + 3626, 3627, 4492, 2547, 2549, 2878, 5334, 5333, 4096, 2607, 2605, 2841, 5275, 5274, 4082, 2550, + 2551, 4618, 4802, 6037, + 2863, 2557, 2558, 4645, 4791, 6040, 2879, 2549, 2552, 2734, 5910, 5909, 3080, 2598, 2597, 2697, + 5879, 5878, 3066, 2553, + 2560, 3026, 5253, 5254, 5842, 2621, 2620, 2976, 5188, 5189, 5836, 2562, 2563, 3257, 3930, 3931, + 5569, 2619, 2617, 3226, + 3950, 3951, 5561, 2565, 2567, 4423, 3642, 3643, 4782, 2568, 2569, 4429, 3644, 3645, 4773, 2566, + 2571, 5839, 5217, 4665, + 4666, 2575, 2576, 5846, 5248, 4623, 4624, 2570, 2578, 5170, 4756, 4754, 2696, 2597, 2599, 5111, + 4697, 4696, 2745, 2577, + 2581, 5668, 4985, 4986, 2977, 2620, 2622, 5670, 4931, 4932, 3044, 2580, 2601, 5566, 3945, 3943, + 4882, 2626, 2627, 5559, + 3904, 3903, 4901, 2600, 2603, 3815, 5478, 5477, 2840, 2605, 2606, 3729, 5435, 5434, 2889, 2602, + 2615, 5408, 4571, 4572, + 3227, 2617, 2618, 5367, 4511, 4512, 3266, 2614, 2647, 5552, 5328, 3941, 3942, 2734, 2735, 5519, + 5330, 3871, 3873, 2646, + 2651, 5377, 5537, 3939, 3938, 2666, 2665, 5409, 5517, 3855, 3854, 2652, 2657, 3892, 4358, 5413, + 5412, 2675, 2674, 3934, + 4327, 5355, 5354, 2659, 2661, 4387, 3802, 3803, 5415, 2757, 2758, 4329, 3805, 3806, 5365, 2660, + 2662, 3248, 3250, 5645, + 4269, 2716, 2715, 3273, 3274, 5617, 4254, 2663, 2669, 3287, 3286, 4668, 4028, 2712, 2713, 3268, + 3267, 4611, 4065, 2668, + 2673, 5554, 5553, 3852, 3851, 2732, 2733, 5535, 5534, 3869, 3868, 2672, 2679, 4389, 4388, 4605, + 3125, 2759, 2761, 4356, + 4354, 4632, 3153, 2678, 2680, 4981, 5803, 5853, 5545, 2770, 2768, 4979, 5825, 5870, 5547, 2681, + 2684, 5774, 5799, 5858, + 5857, 2751, 2750, 5757, 5824, 5866, 5865, 2685, 2692, 5654, 5655, 4978, 4977, 2729, 2730, 5684, + 5685, 4998, 4997, 2691 ] private def ClayworthSurface_face_edge_data_chunk21 : Array (Fin 6048) := #[ - 2695, 5663, 5664, 4972, 4376, 2724, 2725, 5682, 5683, 5004, 4378, 2693, 2712, 4027, 4131, 4132, 5666, 2767, 2765, 4055, - 4135, 4136, 5659, 2714, 2716, 4268, 4919, 5466, 5800, 2764, 2763, 4270, 4878, 5467, 5797, 2717, 2723, 5657, 4166, 4164, - 5002, 2727, 2728, 5662, 4124, 4122, 5000, 2722, 2732, 4739, 4920, 5980, 4056, 2765, 2766, 4714, 4907, 5977, 4014, 2731, - 2749, 5802, 5458, 5459, 4897, 2771, 2772, 5798, 5483, 5484, 4881, 2748, 2759, 3126, 5726, 5970, 4271, 2763, 2762, 3095, - 5727, 5955, 4235, 2760, 2791, 5080, 5079, 5246, 5247, 2878, 2879, 5049, 5047, 5200, 5201, 2790, 2795, 5084, 5085, 5245, - 5244, 2810, 2809, 5051, 5052, 5260, 5259, 2796, 2801, 3408, 3410, 5944, 5943, 2819, 2818, 3355, 3357, 5950, 5949, 2803, - 2805, 3399, 3398, 5164, 5945, 2901, 2902, 3354, 3352, 5165, 5923, 2804, 2807, 3035, 3036, 5736, 4052, 2859, 2860, 3015, - 3016, 5715, 4036, 2806, 2813, 2998, 2997, 4900, 4247, 2856, 2857, 3022, 3021, 4872, 4282, 2812, 2817, 5078, 5077, 5258, - 5257, 2876, 2877, 5087, 5086, 5197, 5196, 2816, 2823, 3396, 3395, 4868, 4134, 2904, 2905, 3413, 3412, 4892, 4156, 2822, - 2824, 4566, 5997, 5579, 5070, 2914, 2913, 4578, 6004, 5593, 5090, 2825, 2829, 5780, 5991, 5580, 5279, 2894, 2895, 5791, - 5984, 5585, 5304, 2828, 2836, 5756, 5952, 4545, 3722, 2873, 2874, 5758, 5967, 4556, 3766, 2835, 2839, 5589, 5957, 4544, - 3386, 2868, 2870, 5595, 5966, 4574, 3417, 2837, 2856, 4246, 3123, 3124, 5958, 2911, 2909, 4272, 3127, 3128, 5954, 2858, - 2859, 4051, 4641, 4738, 5998, 2908, 2906, 4053, 4619, 4740, 5995, 2861, 2867, 5953, 3165, 3163, 4575, 2871, 2872, 5956, - 3114, 3112, 4554, 2866, 2876, 4639, 4640, 5818, 4273, 2909, 2910, 4643, 4644, 5796, 4233, 2875, 2893, 5996, 4729, 4728, - 4672, 2915, 2916, 5994, 4762, 4761, 4613, 2892, 2904, 4133, 5632, 5691, 4054, 2906, 2907, 4109, 5633, 5660, 4015, 2903, - 2934, 5740, 5414, 3803, 3804, 3005, 3006, 5719, 5416, 3733, 3735, 2933, 2937, 5305, 5730, 3800, 3801, 2950, 2948, 5337, - 5716, 3822, 3823, 2938, 2941, 3767, 4911, 5326, 5327, 2957, 2955, 3816, 4885, 5339, 5340, 2943, 2945, 4905, 3940, 3941, - 5329, 3026, 3027, 4883, 3943, 3944, 5286, 2944, 2954, 5741, 5032, 3819, 3820, 3003, 3004, 5728, 5059, 3730, 3731, 2953, - 2959, 4904, 3323, 3324, 5005, 3028, 3029, 4914, 3370, 3371, 4991, 2958, 2960, 3150, 6017, 4731, 4730, 3036, 3034, 3169, - 6015, 4760, 4759, 2962, 2963, 5775, 5691, 4732, 4734, 3020, 3019, 5750, 5678, 4743, 4744, 2964, 2970, 5789, 5818, 3119, - 3118, 3001, 3002, 5746, 5814, 3135, 3134, 2969, 2972, 4753, 6012, 3116, 3115, 2997, 2996, 4763, 6014, 3162, 3161, 2973, - 2995, 6037, 4576, 3163, 3164, 2999, 3000, 6036, 4543, 3131, 3132, 2994, 3018, 6031, 5578, 4741, 4383, 3037, 3038, 6030, - 5594, 4761, 4316, 3017, 3075, 4642, 4051, 4052, 4555, 3112, 3113, 4663, 3986, 3987, 4582, 3074, 3084, 4258, 6016, 5722, - 5086, 3168, 3167, 4276, 6018, 5738, 5088, 3085, 3088, 4834, 5983, 5725, 5356, 3152, 3151, 4796, 5992, 5735, 5383, 3089, - 3094, 4835, 5959, 4236, 3452, 3129, 3130, 4821, 5971, 4249, 3503, 3092, 3096, 3461, 3462, 5492, 5491, 3147, 3145, 3519 + 2695, 5663, 5664, 4972, 4376, 2724, 2725, 5682, 5683, 5004, 4378, 2693, 2712, 4027, 4131, 4132, + 5666, 2767, 2765, 4055, + 4135, 4136, 5659, 2714, 2716, 4268, 4919, 5466, 5800, 2764, 2763, 4270, 4878, 5467, 5797, 2717, + 2723, 5657, 4166, 4164, + 5002, 2727, 2728, 5662, 4124, 4122, 5000, 2722, 2732, 4739, 4920, 5980, 4056, 2765, 2766, 4714, + 4907, 5977, 4014, 2731, + 2749, 5802, 5458, 5459, 4897, 2771, 2772, 5798, 5483, 5484, 4881, 2748, 2759, 3126, 5726, 5970, + 4271, 2763, 2762, 3095, + 5727, 5955, 4235, 2760, 2791, 5080, 5079, 5246, 5247, 2878, 2879, 5049, 5047, 5200, 5201, 2790, + 2795, 5084, 5085, 5245, + 5244, 2810, 2809, 5051, 5052, 5260, 5259, 2796, 2801, 3408, 3410, 5944, 5943, 2819, 2818, 3355, + 3357, 5950, 5949, 2803, + 2805, 3399, 3398, 5164, 5945, 2901, 2902, 3354, 3352, 5165, 5923, 2804, 2807, 3035, 3036, 5736, + 4052, 2859, 2860, 3015, + 3016, 5715, 4036, 2806, 2813, 2998, 2997, 4900, 4247, 2856, 2857, 3022, 3021, 4872, 4282, 2812, + 2817, 5078, 5077, 5258, + 5257, 2876, 2877, 5087, 5086, 5197, 5196, 2816, 2823, 3396, 3395, 4868, 4134, 2904, 2905, 3413, + 3412, 4892, 4156, 2822, + 2824, 4566, 5997, 5579, 5070, 2914, 2913, 4578, 6004, 5593, 5090, 2825, 2829, 5780, 5991, 5580, + 5279, 2894, 2895, 5791, + 5984, 5585, 5304, 2828, 2836, 5756, 5952, 4545, 3722, 2873, 2874, 5758, 5967, 4556, 3766, 2835, + 2839, 5589, 5957, 4544, + 3386, 2868, 2870, 5595, 5966, 4574, 3417, 2837, 2856, 4246, 3123, 3124, 5958, 2911, 2909, 4272, + 3127, 3128, 5954, 2858, + 2859, 4051, 4641, 4738, 5998, 2908, 2906, 4053, 4619, 4740, 5995, 2861, 2867, 5953, 3165, 3163, + 4575, 2871, 2872, 5956, + 3114, 3112, 4554, 2866, 2876, 4639, 4640, 5818, 4273, 2909, 2910, 4643, 4644, 5796, 4233, 2875, + 2893, 5996, 4729, 4728, + 4672, 2915, 2916, 5994, 4762, 4761, 4613, 2892, 2904, 4133, 5632, 5691, 4054, 2906, 2907, 4109, + 5633, 5660, 4015, 2903, + 2934, 5740, 5414, 3803, 3804, 3005, 3006, 5719, 5416, 3733, 3735, 2933, 2937, 5305, 5730, 3800, + 3801, 2950, 2948, 5337, + 5716, 3822, 3823, 2938, 2941, 3767, 4911, 5326, 5327, 2957, 2955, 3816, 4885, 5339, 5340, 2943, + 2945, 4905, 3940, 3941, + 5329, 3026, 3027, 4883, 3943, 3944, 5286, 2944, 2954, 5741, 5032, 3819, 3820, 3003, 3004, 5728, + 5059, 3730, 3731, 2953, + 2959, 4904, 3323, 3324, 5005, 3028, 3029, 4914, 3370, 3371, 4991, 2958, 2960, 3150, 6017, 4731, + 4730, 3036, 3034, 3169, + 6015, 4760, 4759, 2962, 2963, 5775, 5691, 4732, 4734, 3020, 3019, 5750, 5678, 4743, 4744, 2964, + 2970, 5789, 5818, 3119, + 3118, 3001, 3002, 5746, 5814, 3135, 3134, 2969, 2972, 4753, 6012, 3116, 3115, 2997, 2996, 4763, + 6014, 3162, 3161, 2973, + 2995, 6037, 4576, 3163, 3164, 2999, 3000, 6036, 4543, 3131, 3132, 2994, 3018, 6031, 5578, 4741, + 4383, 3037, 3038, 6030, + 5594, 4761, 4316, 3017, 3075, 4642, 4051, 4052, 4555, 3112, 3113, 4663, 3986, 3987, 4582, 3074, + 3084, 4258, 6016, 5722, + 5086, 3168, 3167, 4276, 6018, 5738, 5088, 3085, 3088, 4834, 5983, 5725, 5356, 3152, 3151, 4796, + 5992, 5735, 5383, 3089, + 3094, 4835, 5959, 4236, 3452, 3129, 3130, 4821, 5971, 4249, 3503, 3092, 3096, 3461, 3462, 5492, + 5491, 3147, 3145, 3519 ] private def ClayworthSurface_face_edge_data_chunk22 : Array (Fin 6048) := #[ - 3520, 5537, 5536, 3097, 3101, 3437, 3438, 5495, 5133, 3156, 3158, 3521, 3522, 5505, 5160, 3099, 3121, 5128, 4406, 4407, - 5820, 3157, 3156, 5134, 4481, 4482, 5807, 3122, 3143, 3443, 3442, 4167, 5535, 3160, 3159, 3455, 3454, 4152, 5509, 3144, - 3149, 5043, 4149, 4148, 3448, 3166, 3168, 5087, 4161, 4160, 3463, 3148, 3186, 4677, 4676, 5246, 5669, 3257, 3258, 4625, - 4623, 5249, 5689, 3185, 3188, 4648, 4649, 5908, 5907, 3202, 3200, 4620, 4621, 5913, 5912, 3190, 3194, 5635, 5636, 5161, - 5162, 3209, 3208, 5618, 5619, 5174, 5175, 3195, 3197, 5650, 5649, 5164, 5163, 3278, 3279, 5623, 5621, 5117, 5116, 3196, - 3206, 4678, 4306, 4307, 4550, 3255, 3256, 4647, 4338, 4339, 4569, 3205, 3211, 5651, 5506, 5172, 5173, 3280, 3281, 5634, - 5524, 5112, 5113, 3210, 3214, 5476, 5978, 4126, 4125, 3286, 3288, 5485, 5983, 4163, 4162, 3213, 3216, 5760, 5980, 4128, - 3887, 3271, 3272, 5749, 5982, 4141, 3893, 3215, 3222, 5786, 5970, 5463, 5374, 3253, 3254, 5747, 5965, 5470, 5378, 3221, - 3223, 4153, 6016, 5461, 5460, 3250, 3249, 4168, 6013, 5482, 5481, 3225, 3247, 6043, 5869, 5484, 3350, 3251, 3252, 6042, - 5854, 5468, 3381, 3246, 3270, 5979, 4974, 4138, 4139, 3289, 3290, 5981, 5003, 4164, 4165, 3269, 3319, 5299, 5478, 3651, - 3652, 3336, 3334, 5325, 5453, 3646, 3647, 3320, 3321, 5475, 5392, 3654, 3655, 3410, 3409, 5450, 5404, 3615, 3616, 3322, - 3329, 3585, 4980, 5634, 4573, 3368, 3367, 3599, 4994, 5614, 4562, 3330, 3339, 5474, 5473, 3649, 3648, 3411, 3413, 5480, - 5479, 3618, 3617, 3338, 3347, 4822, 6038, 5856, 5855, 3385, 3384, 4819, 6041, 5861, 5860, 3349, 3368, 4020, 4022, 5551, - 5986, 3418, 3417, 3999, 4000, 5542, 5979, 3369, 3374, 5137, 4418, 4419, 5819, 3389, 3388, 5132, 4483, 4484, 5825, 3375, - 3377, 4025, 4026, 5744, 5813, 3409, 3408, 3996, 3997, 5788, 5826, 3378, 3380, 6034, 5548, 5547, 3989, 3382, 3383, 6031, - 5527, 5526, 4058, 3379, 3411, 4018, 4019, 5976, 4916, 3415, 3414, 4023, 4024, 5978, 4893, 3412, 3451, 5029, 3758, 3757, - 4158, 3544, 3545, 5041, 3798, 3797, 4112, 3450, 3458, 4137, 4846, 5692, 4030, 3500, 3501, 4107, 4832, 5667, 4016, 3457, - 3467, 5031, 5030, 4151, 3913, 3546, 3548, 5085, 5083, 4110, 3929, 3465, 3469, 4876, 4877, 5873, 5502, 3556, 3557, 4913, - 4914, 5859, 5526, 3468, 3473, 4865, 4866, 5872, 5871, 3537, 3538, 4911, 4912, 5851, 5850, 3472, 3480, 4590, 4591, 5588, - 5314, 3516, 3517, 4649, 4650, 5572, 5338, 3479, 3483, 4607, 4608, 5587, 5036, 3511, 3512, 4646, 4647, 5592, 5057, 3481, - 3500, 4029, 5390, 5391, 4610, 3553, 3552, 4002, 5388, 5389, 4598, 3502, 3503, 4248, 5828, 5940, 4869, 3551, 3550, 4219, - 5804, 5916, 4860, 3504, 3510, 4594, 4593, 5382, 5591, 3514, 3515, 4604, 4602, 5417, 5574, 3509, 3519, 5233, 5734, 5735, - 4001, 3552, 3554, 5193, 5706, 5707, 4038, 3518, 3536, 4875, 4874, 5848, 5816, 3558, 3559, 4864, 4863, 5860, 5806, 3535, - 3546, 3914, 5643, 5644, 4220, 3550, 3549, 3881, 5608, 5609, 4256, 3547, 3577, 5703, 5218, 4984, 4985, 3658, 3659, 5710, - 5243, 4960, 4961, 3576, 3581, 4577, 5728, 4983, 4341, 3591, 3592, 4565, 5712, 5014, 4301, 3580, 3588, 5604, 3901, 3899 + 3520, 5537, 5536, 3097, 3101, 3437, 3438, 5495, 5133, 3156, 3158, 3521, 3522, 5505, 5160, 3099, + 3121, 5128, 4406, 4407, + 5820, 3157, 3156, 5134, 4481, 4482, 5807, 3122, 3143, 3443, 3442, 4167, 5535, 3160, 3159, 3455, + 3454, 4152, 5509, 3144, + 3149, 5043, 4149, 4148, 3448, 3166, 3168, 5087, 4161, 4160, 3463, 3148, 3186, 4677, 4676, 5246, + 5669, 3257, 3258, 4625, + 4623, 5249, 5689, 3185, 3188, 4648, 4649, 5908, 5907, 3202, 3200, 4620, 4621, 5913, 5912, 3190, + 3194, 5635, 5636, 5161, + 5162, 3209, 3208, 5618, 5619, 5174, 5175, 3195, 3197, 5650, 5649, 5164, 5163, 3278, 3279, 5623, + 5621, 5117, 5116, 3196, + 3206, 4678, 4306, 4307, 4550, 3255, 3256, 4647, 4338, 4339, 4569, 3205, 3211, 5651, 5506, 5172, + 5173, 3280, 3281, 5634, + 5524, 5112, 5113, 3210, 3214, 5476, 5978, 4126, 4125, 3286, 3288, 5485, 5983, 4163, 4162, 3213, + 3216, 5760, 5980, 4128, + 3887, 3271, 3272, 5749, 5982, 4141, 3893, 3215, 3222, 5786, 5970, 5463, 5374, 3253, 3254, 5747, + 5965, 5470, 5378, 3221, + 3223, 4153, 6016, 5461, 5460, 3250, 3249, 4168, 6013, 5482, 5481, 3225, 3247, 6043, 5869, 5484, + 3350, 3251, 3252, 6042, + 5854, 5468, 3381, 3246, 3270, 5979, 4974, 4138, 4139, 3289, 3290, 5981, 5003, 4164, 4165, 3269, + 3319, 5299, 5478, 3651, + 3652, 3336, 3334, 5325, 5453, 3646, 3647, 3320, 3321, 5475, 5392, 3654, 3655, 3410, 3409, 5450, + 5404, 3615, 3616, 3322, + 3329, 3585, 4980, 5634, 4573, 3368, 3367, 3599, 4994, 5614, 4562, 3330, 3339, 5474, 5473, 3649, + 3648, 3411, 3413, 5480, + 5479, 3618, 3617, 3338, 3347, 4822, 6038, 5856, 5855, 3385, 3384, 4819, 6041, 5861, 5860, 3349, + 3368, 4020, 4022, 5551, + 5986, 3418, 3417, 3999, 4000, 5542, 5979, 3369, 3374, 5137, 4418, 4419, 5819, 3389, 3388, 5132, + 4483, 4484, 5825, 3375, + 3377, 4025, 4026, 5744, 5813, 3409, 3408, 3996, 3997, 5788, 5826, 3378, 3380, 6034, 5548, 5547, + 3989, 3382, 3383, 6031, + 5527, 5526, 4058, 3379, 3411, 4018, 4019, 5976, 4916, 3415, 3414, 4023, 4024, 5978, 4893, 3412, + 3451, 5029, 3758, 3757, + 4158, 3544, 3545, 5041, 3798, 3797, 4112, 3450, 3458, 4137, 4846, 5692, 4030, 3500, 3501, 4107, + 4832, 5667, 4016, 3457, + 3467, 5031, 5030, 4151, 3913, 3546, 3548, 5085, 5083, 4110, 3929, 3465, 3469, 4876, 4877, 5873, + 5502, 3556, 3557, 4913, + 4914, 5859, 5526, 3468, 3473, 4865, 4866, 5872, 5871, 3537, 3538, 4911, 4912, 5851, 5850, 3472, + 3480, 4590, 4591, 5588, + 5314, 3516, 3517, 4649, 4650, 5572, 5338, 3479, 3483, 4607, 4608, 5587, 5036, 3511, 3512, 4646, + 4647, 5592, 5057, 3481, + 3500, 4029, 5390, 5391, 4610, 3553, 3552, 4002, 5388, 5389, 4598, 3502, 3503, 4248, 5828, 5940, + 4869, 3551, 3550, 4219, + 5804, 5916, 4860, 3504, 3510, 4594, 4593, 5382, 5591, 3514, 3515, 4604, 4602, 5417, 5574, 3509, + 3519, 5233, 5734, 5735, + 4001, 3552, 3554, 5193, 5706, 5707, 4038, 3518, 3536, 4875, 4874, 5848, 5816, 3558, 3559, 4864, + 4863, 5860, 5806, 3535, + 3546, 3914, 5643, 5644, 4220, 3550, 3549, 3881, 5608, 5609, 4256, 3547, 3577, 5703, 5218, 4984, + 4985, 3658, 3659, 5710, + 5243, 4960, 4961, 3576, 3581, 4577, 5728, 4983, 4341, 3591, 3592, 4565, 5712, 5014, 4301, 3580, + 3588, 5604, 3901, 3899 ] private def ClayworthSurface_face_edge_data_chunk23 : Array (Fin 6048) := #[ - 4571, 3685, 3686, 5612, 3947, 3946, 4534, 3587, 3598, 5701, 5700, 5013, 5011, 3656, 3657, 5730, 5729, 4964, 4963, 3597, - 3603, 5601, 5602, 4564, 3782, 3687, 3688, 5636, 5637, 4532, 3818, 3601, 3604, 4310, 4311, 4749, 4748, 3694, 3693, 4355, - 4356, 4758, 4757, 3605, 3609, 4289, 4288, 4752, 4751, 3676, 3677, 4358, 4357, 4716, 4715, 3608, 3624, 4489, 4490, 6007, - 4050, 3631, 3632, 4471, 4472, 5999, 4017, 3623, 3628, 4266, 3911, 3912, 5616, 3679, 3678, 4221, 3909, 3910, 5607, 3630, - 3629, 4477, 4478, 5801, 4237, 3636, 3637, 4453, 4454, 5817, 4267, 3628, 3631, 4049, 5234, 5235, 5714, 3672, 3670, 4003, - 5184, 5185, 5705, 3633, 3654, 5393, 4666, 4667, 4004, 3670, 3671, 5370, 4599, 4600, 4064, 3653, 3674, 4305, 4303, 4718, - 4720, 3695, 3696, 4293, 4292, 4755, 4756, 3673, 3676, 5679, 4901, 4902, 4222, 3678, 3680, 5681, 4856, 4857, 4281, 3675, - 3742, 3964, 3965, 5864, 5863, 3780, 3781, 4029, 4030, 5849, 5848, 3741, 3744, 3982, 3983, 5862, 5440, 3775, 3776, 4027, - 4028, 5868, 5459, 3743, 3750, 4396, 4397, 6010, 4159, 3757, 3759, 4461, 4462, 6001, 4130, 3749, 3753, 4401, 4399, 5139, - 5791, 3760, 3761, 4411, 4409, 5140, 5771, 3752, 3756, 4459, 4460, 6004, 4346, 3762, 3763, 4414, 4415, 6011, 4374, 3754, - 3766, 4557, 5901, 5900, 3984, 3817, 3818, 4533, 5899, 5898, 3973, 3765, 3769, 5757, 5135, 5136, 4417, 3770, 3771, 5755, - 5130, 5131, 4405, 3768, 3772, 3969, 3968, 5865, 5867, 3778, 3777, 3979, 3978, 5850, 5852, 3773, 3856, 4428, 4429, 6028, - 4902, 3903, 3902, 4457, 4458, 6013, 4894, 3857, 3863, 4450, 4451, 6047, 4572, 3899, 3900, 4455, 4456, 6044, 4546, 3862, - 3890, 5750, 5219, 5220, 4421, 3894, 3895, 5753, 5214, 5215, 4490, 3889, 3891, 4216, 5759, 6009, 4344, 3897, 3896, 4245, - 5752, 6002, 4357, 3892, 3906, 4454, 4452, 5223, 5747, 3907, 3908, 4432, 4431, 5224, 5743, 3905, 3916, 5680, 4049, 4050, - 4535, 3946, 3948, 5690, 3974, 3975, 4581, 3915, 3991, 5787, 5973, 5529, 5380, 4043, 4044, 5753, 5962, 5536, 5377, 3990, - 4042, 6017, 5626, 5534, 4167, 4059, 4060, 6027, 5647, 5549, 4100, 4041, 4091, 4918, 4268, 4269, 5001, 4122, 4123, 4906, - 4206, 4207, 4988, 4090, 4102, 4823, 6014, 5631, 5630, 4155, 4154, 4799, 6026, 5644, 5642, 4104, 4182, 5596, 5394, 5147, - 5148, 4248, 4249, 5575, 5417, 5121, 5123, 4181, 4185, 5304, 5586, 5146, 5145, 4198, 4196, 5338, 5573, 5142, 5141, 4186, - 4189, 4997, 4999, 5311, 5310, 4205, 4203, 4963, 4965, 5309, 5308, 4191, 4193, 4990, 4989, 5231, 5313, 4266, 4267, 4962, - 4960, 5242, 5290, 4192, 4202, 5597, 4704, 4703, 5143, 4246, 4247, 5584, 4728, 4727, 5124, 4201, 4208, 4369, 6042, 5058, - 5057, 4275, 4274, 4384, 6044, 5091, 5090, 4210, 4211, 5776, 5695, 5065, 5066, 4260, 4259, 5743, 5675, 5083, 5084, 4212, - 4218, 5068, 6036, 4342, 4341, 4240, 4241, 5067, 6038, 4379, 4378, 4217, 4239, 6023, 4671, 4380, 4381, 4243, 4244, 6012, - 4633, 4354, 4355, 4238, 4319, 4833, 5986, 5581, 5359, 4371, 4370, 4848, 5993, 5590, 5382, 4320, 4423, 6022, 4667, 4665, - 5216, 4475, 4476, 6015, 4638, 4637, 5221, 4422, 4474, 6034, 4976, 4975, 5069, 4491, 4492, 6033, 4986, 4984, 5045, 4473 + 4571, 3685, 3686, 5612, 3947, 3946, 4534, 3587, 3598, 5701, 5700, 5013, 5011, 3656, 3657, 5730, + 5729, 4964, 4963, 3597, + 3603, 5601, 5602, 4564, 3782, 3687, 3688, 5636, 5637, 4532, 3818, 3601, 3604, 4310, 4311, 4749, + 4748, 3694, 3693, 4355, + 4356, 4758, 4757, 3605, 3609, 4289, 4288, 4752, 4751, 3676, 3677, 4358, 4357, 4716, 4715, 3608, + 3624, 4489, 4490, 6007, + 4050, 3631, 3632, 4471, 4472, 5999, 4017, 3623, 3628, 4266, 3911, 3912, 5616, 3679, 3678, 4221, + 3909, 3910, 5607, 3630, + 3629, 4477, 4478, 5801, 4237, 3636, 3637, 4453, 4454, 5817, 4267, 3628, 3631, 4049, 5234, 5235, + 5714, 3672, 3670, 4003, + 5184, 5185, 5705, 3633, 3654, 5393, 4666, 4667, 4004, 3670, 3671, 5370, 4599, 4600, 4064, 3653, + 3674, 4305, 4303, 4718, + 4720, 3695, 3696, 4293, 4292, 4755, 4756, 3673, 3676, 5679, 4901, 4902, 4222, 3678, 3680, 5681, + 4856, 4857, 4281, 3675, + 3742, 3964, 3965, 5864, 5863, 3780, 3781, 4029, 4030, 5849, 5848, 3741, 3744, 3982, 3983, 5862, + 5440, 3775, 3776, 4027, + 4028, 5868, 5459, 3743, 3750, 4396, 4397, 6010, 4159, 3757, 3759, 4461, 4462, 6001, 4130, 3749, + 3753, 4401, 4399, 5139, + 5791, 3760, 3761, 4411, 4409, 5140, 5771, 3752, 3756, 4459, 4460, 6004, 4346, 3762, 3763, 4414, + 4415, 6011, 4374, 3754, + 3766, 4557, 5901, 5900, 3984, 3817, 3818, 4533, 5899, 5898, 3973, 3765, 3769, 5757, 5135, 5136, + 4417, 3770, 3771, 5755, + 5130, 5131, 4405, 3768, 3772, 3969, 3968, 5865, 5867, 3778, 3777, 3979, 3978, 5850, 5852, 3773, + 3856, 4428, 4429, 6028, + 4902, 3903, 3902, 4457, 4458, 6013, 4894, 3857, 3863, 4450, 4451, 6047, 4572, 3899, 3900, 4455, + 4456, 6044, 4546, 3862, + 3890, 5750, 5219, 5220, 4421, 3894, 3895, 5753, 5214, 5215, 4490, 3889, 3891, 4216, 5759, 6009, + 4344, 3897, 3896, 4245, + 5752, 6002, 4357, 3892, 3906, 4454, 4452, 5223, 5747, 3907, 3908, 4432, 4431, 5224, 5743, 3905, + 3916, 5680, 4049, 4050, + 4535, 3946, 3948, 5690, 3974, 3975, 4581, 3915, 3991, 5787, 5973, 5529, 5380, 4043, 4044, 5753, + 5962, 5536, 5377, 3990, + 4042, 6017, 5626, 5534, 4167, 4059, 4060, 6027, 5647, 5549, 4100, 4041, 4091, 4918, 4268, 4269, + 5001, 4122, 4123, 4906, + 4206, 4207, 4988, 4090, 4102, 4823, 6014, 5631, 5630, 4155, 4154, 4799, 6026, 5644, 5642, 4104, + 4182, 5596, 5394, 5147, + 5148, 4248, 4249, 5575, 5417, 5121, 5123, 4181, 4185, 5304, 5586, 5146, 5145, 4198, 4196, 5338, + 5573, 5142, 5141, 4186, + 4189, 4997, 4999, 5311, 5310, 4205, 4203, 4963, 4965, 5309, 5308, 4191, 4193, 4990, 4989, 5231, + 5313, 4266, 4267, 4962, + 4960, 5242, 5290, 4192, 4202, 5597, 4704, 4703, 5143, 4246, 4247, 5584, 4728, 4727, 5124, 4201, + 4208, 4369, 6042, 5058, + 5057, 4275, 4274, 4384, 6044, 5091, 5090, 4210, 4211, 5776, 5695, 5065, 5066, 4260, 4259, 5743, + 5675, 5083, 5084, 4212, + 4218, 5068, 6036, 4342, 4341, 4240, 4241, 5067, 6038, 4379, 4378, 4217, 4239, 6023, 4671, 4380, + 4381, 4243, 4244, 6012, + 4633, 4354, 4355, 4238, 4319, 4833, 5986, 5581, 5359, 4371, 4370, 4848, 5993, 5590, 5382, 4320, + 4423, 6022, 4667, 4665, + 5216, 4475, 4476, 6015, 4638, 4637, 5221, 4422, 4474, 6034, 4976, 4975, 5069, 4491, 4492, 6033, + 4986, 4984, 5045, 4473 ] private def ClayworthSurface_face_edge_data_chunk24 : Array (Fin 6048) := #[ - 4526, 4824, 5683, 5062, 5063, 4568, 4567, 4789, 5698, 5072, 5073, 4527, 4614, 4825, 5673, 4735, 4737, 4662, 4661, 4773, - 5697, 4754, 4755, 4615, 4775, 5306, 5684, 5790, 5894, 4786, 4785, 5307, 5671, 5754, 5893, 4776, 4779, 5896, 5758, 5300, - 5301, 4791, 4790, 5897, 5772, 5296, 5297, 4780, 4782, 5974, 5477, 5299, 4880, 4839, 4840, 5961, 5465, 5294, 4899, 4781, - 4793, 5975, 5543, 5298, 4957, 4841, 4842, 5966, 5531, 5302, 4982, 4792, 4795, 5934, 5744, 5385, 5384, 4846, 4847, 5933, + 4526, 4824, 5683, 5062, 5063, 4568, 4567, 4789, 5698, 5072, 5073, 4527, 4614, 4825, 5673, 4735, + 4737, 4662, 4661, 4773, + 5697, 4754, 4755, 4615, 4775, 5306, 5684, 5790, 5894, 4786, 4785, 5307, 5671, 5754, 5893, 4776, + 4779, 5896, 5758, 5300, + 5301, 4791, 4790, 5897, 5772, 5296, 5297, 4780, 4782, 5974, 5477, 5299, 4880, 4839, 4840, 5961, + 5465, 5294, 4899, 4781, + 4793, 5975, 5543, 5298, 4957, 4841, 4842, 5966, 5531, 5302, 4982, 4792, 4795, 5934, 5744, 5385, + 5384, 4846, 4847, 5933, 5749, 5387, 5386, 4794, 4800, 5379, 5752, 5751, 5930, 4821, 4820, 5376, 5746, 5745, 5931, 4801 ] private def ClayworthSurface_face_edge_data : Array (Fin 6048) := - ClayworthSurface_face_edge_data_chunk0 ++ ClayworthSurface_face_edge_data_chunk1 ++ ClayworthSurface_face_edge_data_chunk2 ++ ClayworthSurface_face_edge_data_chunk3 ++ ClayworthSurface_face_edge_data_chunk4 ++ ClayworthSurface_face_edge_data_chunk5 ++ ClayworthSurface_face_edge_data_chunk6 ++ ClayworthSurface_face_edge_data_chunk7 ++ ClayworthSurface_face_edge_data_chunk8 ++ ClayworthSurface_face_edge_data_chunk9 ++ ClayworthSurface_face_edge_data_chunk10 ++ ClayworthSurface_face_edge_data_chunk11 ++ ClayworthSurface_face_edge_data_chunk12 ++ ClayworthSurface_face_edge_data_chunk13 ++ ClayworthSurface_face_edge_data_chunk14 ++ ClayworthSurface_face_edge_data_chunk15 ++ ClayworthSurface_face_edge_data_chunk16 ++ ClayworthSurface_face_edge_data_chunk17 ++ ClayworthSurface_face_edge_data_chunk18 ++ ClayworthSurface_face_edge_data_chunk19 ++ ClayworthSurface_face_edge_data_chunk20 ++ ClayworthSurface_face_edge_data_chunk21 ++ ClayworthSurface_face_edge_data_chunk22 ++ ClayworthSurface_face_edge_data_chunk23 ++ ClayworthSurface_face_edge_data_chunk24 + ClayworthSurface_face_edge_data_chunk0 ++ ClayworthSurface_face_edge_data_chunk1 ++ + ClayworthSurface_face_edge_data_chunk2 ++ ClayworthSurface_face_edge_data_chunk3 ++ + ClayworthSurface_face_edge_data_chunk4 ++ ClayworthSurface_face_edge_data_chunk5 ++ + ClayworthSurface_face_edge_data_chunk6 ++ ClayworthSurface_face_edge_data_chunk7 ++ + ClayworthSurface_face_edge_data_chunk8 ++ ClayworthSurface_face_edge_data_chunk9 ++ + ClayworthSurface_face_edge_data_chunk10 ++ ClayworthSurface_face_edge_data_chunk11 ++ + ClayworthSurface_face_edge_data_chunk12 ++ ClayworthSurface_face_edge_data_chunk13 ++ + ClayworthSurface_face_edge_data_chunk14 ++ ClayworthSurface_face_edge_data_chunk15 ++ + ClayworthSurface_face_edge_data_chunk16 ++ ClayworthSurface_face_edge_data_chunk17 ++ + ClayworthSurface_face_edge_data_chunk18 ++ ClayworthSurface_face_edge_data_chunk19 ++ + ClayworthSurface_face_edge_data_chunk20 ++ ClayworthSurface_face_edge_data_chunk21 ++ + ClayworthSurface_face_edge_data_chunk22 ++ ClayworthSurface_face_edge_data_chunk23 ++ + ClayworthSurface_face_edge_data_chunk24 private def ClayworthSurface_face_dir_data_chunk0 : Array Bool := #[ - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, + true, true, true, false, true, false, + true, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, + true, false, false, true, false, + false, true, false, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, + true, true, false, true, false, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true ] private def ClayworthSurface_face_dir_data_chunk1 : Array Bool := #[ - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, + true, false, false, true, false, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, + true, false, false, true, false, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true ] private def ClayworthSurface_face_dir_data_chunk2 : Array Bool := #[ - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, + false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + false, true, false, true, false, + true, false, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false ] private def ClayworthSurface_face_dir_data_chunk3 : Array Bool := #[ - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, - false, false, true, true, false, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, false, + false, false, true, true, false, false, false, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + false, true, true, false, true, true ] private def ClayworthSurface_face_dir_data_chunk4 : Array Bool := #[ - false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true + false, true, true, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, + false, false, false, false, true, false, + false, false, false, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true ] private def ClayworthSurface_face_dir_data_chunk5 : Array Bool := #[ - false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false + false, false, true, false, true, true, false, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, + false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + false, true, false, true, false, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, + false, false, false, true, true, + true, false, false, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, + true, false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, true, true, false, + false, false, true, true, true, false, false, false, true, false, false, true, true, false, + true, false, false, true, true, false ] private def ClayworthSurface_face_dir_data_chunk6 : Array Bool := #[ - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, + true, true, false, true, false, + true, true, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, true, false, true, false, + true, true, true, false, true, false, true, false, true, false, true, false, true, false, true, + false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, + true, false, false, true, true ] private def ClayworthSurface_face_dir_data_chunk7 : Array Bool := #[ - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, false + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, + false, true, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, false, true, + false, false, true, false, false, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + true, false, false, false, true, true, + true, false, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, + false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, false ] private def ClayworthSurface_face_dir_data_chunk8 : Array Bool := #[ - true, false, true, true, false, false, true, false, true, true, true, true, false, false, true, true, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, false, - false, false, true, false, false, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false + true, false, true, true, false, false, true, false, true, true, true, true, false, false, true, + true, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + false, false, false, true, false, + true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, false, false, + false, false, true, false, false, false, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, true, false, + true, false, true, true, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, true, false, + true, false, true, false, true, false ] private def ClayworthSurface_face_dir_data_chunk9 : Array Bool := #[ - true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, true, false, false, true, false + true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, + false, false, false, true, true, + true, false, false, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, + true, true, false, true, false, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, + false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, + false, false, false, true, true, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, + true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, false, true, false, + true, true, false, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, + false, false, false, true, true, + true, false, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, false, true, false, true, + true, false, false, true, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, false, + true, true, false, false, true, false ] private def ClayworthSurface_face_dir_data_chunk10 : Array Bool := #[ - true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true + true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, false, true, true, false, + true, false, false, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, true, false, true, false, + true, true, true, false, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, + false, false, false, true, false, + true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, true, false, + true, false, true, true, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true ] private def ClayworthSurface_face_dir_data_chunk11 : Array Bool := #[ - true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false + true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, false, true, false, + true, true, false, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, + true, true, false, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, false, true, false, + true, true, false, false, true, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + false, false, false, true, false, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, true, false, false, + true, true, false, true, false, false ] private def ClayworthSurface_face_dir_data_chunk12 : Array Bool := #[ - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, false + true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, + false, true, false, true, false, + true, false, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, + false, true, false, true, false, + true, false, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, true, false, + true, false, true, true, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, true, false, true, false, + true, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, + true, false, false, true, false ] private def ClayworthSurface_face_dir_data_chunk13 : Array Bool := #[ - true, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, true, true, - false, false, true, true, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true + true, true, false, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, + false, false, false, true, true, + true, false, false, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, true, false, true, false, + true, true, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, true, true, + false, false, true, true, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, false, + false, false, false, false, true, false, + false, false, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, false, true, false, true, + true, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true ] private def ClayworthSurface_face_dir_data_chunk14 : Array Bool := #[ - false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, false, false, false, false, true, true, false, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false + false, false, true, true, false, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, + true, true, false, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, true, true, true, false, false, true, true, true, true, false, + false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + false, false, false, false, true, false, + false, false, false, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, true, false, true, false, + true, true, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false ] private def ClayworthSurface_face_dir_data_chunk15 : Array Bool := #[ - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, - false, false, true, true, false, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, - false, false, true, false, false, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, false, false, false, true, true, false, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, true, false, true, false + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, false, + false, false, true, true, false, false, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, false, false, + false, false, true, false, false, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, + false, false, false, true, false, + false, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, false, true, false, + true, true, false, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, true, false, true, false ] private def ClayworthSurface_face_dir_data_chunk16 : Array Bool := #[ - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, false, false, true, false, false, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, - false, false, true, false, false, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, true, true + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, false, false, true, false, false, false, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, + false, false, false, true, false, + false, false, false, false, true, true, true, false, true, false, true, true, true, false, + true, false, true, false, false, false, + false, false, true, false, false, false, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, true, true ] private def ClayworthSurface_face_dir_data_chunk17 : Array Bool := #[ - false, false, true, true, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, false, false, false, false, true, true, false, false, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, false, - false, false, true, true, false, false, false, false, true, false, false, true, true, false, true, false, false, true, true, false + false, false, true, true, true, true, false, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, + true, false, false, true, false, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, + true, true, false, true, false, + false, true, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, + true, false, false, false, true, true, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, + true, true, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, false, false, false, false, true, true, false, false, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, true, false, false, + false, false, true, true, false, false, false, false, true, false, false, true, true, false, + true, false, false, true, true, false ] private def ClayworthSurface_face_dir_data_chunk18 : Array Bool := #[ - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, false, false, false, true, true, false, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, false, true, true, false, true, false, false, true, true, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, true, - false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, + true, true, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, + false, false, false, true, false, + true, false, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, true, true, + false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, + true, true, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, true, false, + true, true, false, true, true, false, + true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, + true, true, false, true, true, + false, true, true, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, true, false, + true, false, true, true, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, false, false, false, true, false ] private def ClayworthSurface_face_dir_data_chunk19 : Array Bool := #[ - true, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, true, true, true, false, false, true, true, true, true, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, true, true, false, false, true, true, - true, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, true + true, false, false, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, true, true, false, true, false, + true, true, true, false, true, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, true, false, true, true, + false, true, true, false, true, true, true, true, false, false, true, true, true, true, false, + false, true, true, false, true, + true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, + true, false, true, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, + true, true, false, true, false, + true, false, false, true, true, false, true, false, false, true, true, false, true, true, true, + true, false, false, true, true, + true, true, false, false, true, true, true, true, false, false, true, true, true, true, false, + false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, true, false, true ] private def ClayworthSurface_face_dir_data_chunk20 : Array Bool := #[ - false, false, true, true, false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, true, - false, false, true, true, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false + false, false, true, true, false, true, false, false, true, true, true, true, false, false, + true, true, true, true, false, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, + true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, true, false, true, false, + true, true, true, false, true, false, true, true, false, false, true, false, true, true, false, + false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, true, + true, false, false, false, true, true, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, true, true, + false, false, true, true, true, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, false, false, false, + true, false, true, false, false, false, true, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, + false, true, true, false, true, false, + false, true, true, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, false, true, true, + true, false, true, false, true, false, false, true, true, false, true, false, false, true, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, true, false, true, false, true, + false, true, false, true, false ] private def ClayworthSurface_face_dir_data_chunk21 : Array Bool := #[ - true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, true, false, false, true, true, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, false, false, false, false, true, true, - false, false, false, false, true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, false, false, false, true, true, false, false, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, false, true, false, true, false, true, false + true, false, true, false, false, false, true, false, true, false, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, + false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, false, false, false, + true, true, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + true, true, false, false, true, true, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, + true, false, false, true, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, true, + false, false, false, false, true, true, + false, false, false, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, false, + true, true, false, true, false, + false, true, true, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, true, true, false, false, + true, true, true, true, false, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, true, + true, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, false, false, true, + true, false, true, false, false, true, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, false, + true, true, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, false, false, true, false, + false, false, false, false, true, false, false, true, false, false, true, false, false, true, + false, false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, + true, true, true, false, false, false, true, true, true, false, false, false, true, false, + true, false, true, false, true, false ] private def ClayworthSurface_face_dir_data_chunk22 : Array Bool := #[ - true, false, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, false, false, false, true, true, false, false, false, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, false, false, false, false, false, true, false, - false, false, false, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, true, false, false, true, true, true, true, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, true, false, false, true, true, - true, true, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, true, false, false, false, true, true, true, false, false, false, true, false, false, true + true, false, true, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, true, true, false, + true, false, true, true, true, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + true, true, false, false, true, false, + true, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, true, true, false, + false, false, true, true, true, false, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, + true, true, false, false, true, false, true, true, false, false, true, false, true, false, + false, false, false, false, true, false, + false, false, false, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, true, true, false, + true, false, true, true, true, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, + false, true, false, true, false, + true, false, true, false, true, true, false, false, true, false, true, true, false, false, + true, false, true, false, true, true, + true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, + true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, false, true, + true, false, true, false, false, true, true, false, true, true, true, true, false, false, true, + true, true, true, false, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + false, false, true, false, true, false, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, + true, false, false, true, true, + true, true, false, false, true, false, true, true, true, false, true, false, true, true, true, + false, true, true, false, true, + false, false, true, true, false, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, false, true, false, true, false, + false, false, true, false, true, true, true, false, false, false, true, true, true, false, + false, false, true, false, false, true ] private def ClayworthSurface_face_dir_data_chunk23 : Array Bool := #[ - true, false, true, false, false, true, true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, true, false, false, false, true, true, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, false, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, true, true, false, false, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, false, true, true, false, true, false, false, true, true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, false, false, false, true, true, false, false, false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, true, false, false, true, false, false + true, false, true, false, false, true, true, false, true, false, true, false, true, false, + true, false, true, false, true, false, + true, false, true, false, false, false, true, false, true, false, false, false, true, false, + true, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, true, false, false, + true, false, true, true, false, false, true, false, true, true, false, false, true, true, + false, true, false, false, true, true, + false, true, false, false, true, true, false, true, false, false, true, true, false, true, + false, false, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, false, true, false, false, + true, false, false, true, false, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, false, false, false, true, false, + true, false, false, false, true, false, true, false, false, false, true, false, true, false, + false, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, true, false, true, false, false, true, true, false, true, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, false, true, false, true, false, true, false, true, false, + true, false, true, false, true, true, + false, false, true, false, true, true, false, false, true, false, true, false, false, false, + true, false, true, false, false, false, + true, false, false, true, false, false, true, false, false, true, false, false, true, true, + true, false, false, false, true, true, + true, false, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, false, true, + false, false, true, false, false, true, false, false, true, true, false, false, false, false, + true, true, false, false, false, false, + true, true, false, false, false, false, true, true, false, false, false, false, true, false, + false, true, false, false, true, false, + false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, + false, true, false, false, false, + true, false, true, false, false, false, true, false, true, true, true, false, true, false, + true, true, true, false, true, false, + true, false, true, false, true, false, true, false, true, false, true, false, true, false, + true, true, true, false, true, false, + true, true, true, false, true, false, false, true, true, false, true, false, false, true, true, + false, true, true, true, false, + true, false, true, true, true, false, true, false, true, true, false, false, true, false, true, + true, false, false, true, false, + true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, + false, true, false, true, true, + false, false, true, false, true, true, false, false, false, false, true, true, false, false, + false, false, true, true, false, true, + true, false, true, true, false, true, true, false, true, false, false, true, false, false, + true, false, false, true, false, false ] private def ClayworthSurface_face_dir_data_chunk24 : Array Bool := #[ - true, true, false, false, true, false, true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, false, false, false, false, true, false, false, false, false, false, - true, false, false, false, false, false, true, false, false, false, false, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, false + true, true, false, false, true, false, true, true, false, false, true, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, true, true, true, false, true, true, true, true, true, + false, true, true, false, false, + true, false, true, true, false, false, true, false, true, false, false, false, false, false, + true, false, false, false, false, false, + true, false, false, false, false, false, true, false, false, false, false, false, true, true, + false, false, true, false, true, true, + false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, + false ] private def ClayworthSurface_face_dir_data : Array Bool := - ClayworthSurface_face_dir_data_chunk0 ++ ClayworthSurface_face_dir_data_chunk1 ++ ClayworthSurface_face_dir_data_chunk2 ++ ClayworthSurface_face_dir_data_chunk3 ++ ClayworthSurface_face_dir_data_chunk4 ++ ClayworthSurface_face_dir_data_chunk5 ++ ClayworthSurface_face_dir_data_chunk6 ++ ClayworthSurface_face_dir_data_chunk7 ++ ClayworthSurface_face_dir_data_chunk8 ++ ClayworthSurface_face_dir_data_chunk9 ++ ClayworthSurface_face_dir_data_chunk10 ++ ClayworthSurface_face_dir_data_chunk11 ++ ClayworthSurface_face_dir_data_chunk12 ++ ClayworthSurface_face_dir_data_chunk13 ++ ClayworthSurface_face_dir_data_chunk14 ++ ClayworthSurface_face_dir_data_chunk15 ++ ClayworthSurface_face_dir_data_chunk16 ++ ClayworthSurface_face_dir_data_chunk17 ++ ClayworthSurface_face_dir_data_chunk18 ++ ClayworthSurface_face_dir_data_chunk19 ++ ClayworthSurface_face_dir_data_chunk20 ++ ClayworthSurface_face_dir_data_chunk21 ++ ClayworthSurface_face_dir_data_chunk22 ++ ClayworthSurface_face_dir_data_chunk23 ++ ClayworthSurface_face_dir_data_chunk24 + ClayworthSurface_face_dir_data_chunk0 ++ ClayworthSurface_face_dir_data_chunk1 ++ + ClayworthSurface_face_dir_data_chunk2 ++ ClayworthSurface_face_dir_data_chunk3 ++ + ClayworthSurface_face_dir_data_chunk4 ++ ClayworthSurface_face_dir_data_chunk5 ++ + ClayworthSurface_face_dir_data_chunk6 ++ ClayworthSurface_face_dir_data_chunk7 ++ + ClayworthSurface_face_dir_data_chunk8 ++ ClayworthSurface_face_dir_data_chunk9 ++ + ClayworthSurface_face_dir_data_chunk10 ++ ClayworthSurface_face_dir_data_chunk11 ++ + ClayworthSurface_face_dir_data_chunk12 ++ ClayworthSurface_face_dir_data_chunk13 ++ + ClayworthSurface_face_dir_data_chunk14 ++ ClayworthSurface_face_dir_data_chunk15 ++ + ClayworthSurface_face_dir_data_chunk16 ++ ClayworthSurface_face_dir_data_chunk17 ++ + ClayworthSurface_face_dir_data_chunk18 ++ ClayworthSurface_face_dir_data_chunk19 ++ + ClayworthSurface_face_dir_data_chunk20 ++ ClayworthSurface_face_dir_data_chunk21 ++ + ClayworthSurface_face_dir_data_chunk22 ++ ClayworthSurface_face_dir_data_chunk23 ++ + ClayworthSurface_face_dir_data_chunk24 /-! ## Size proofs (verified by native_decide) -/ diff --git a/Archive/HeawoodSurface.lean b/Archive/HeawoodSurface.lean index 1ada6e1304a981..d9d51e9c97409d 100644 --- a/Archive/HeawoodSurface.lean +++ b/Archive/HeawoodSurface.lean @@ -2,17 +2,20 @@ Copyright (c) 2026 Robin Langer. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +import Archive.VoltageGraphs +/-! # The Heawood Graph (F014A): A Concrete CellularSurface The Heawood graph (Foster census F014A) is the Levi graph (incidence graph) of the Fano plane PG(2,2). It is a cubic arc-transitive graph on 14 vertices. - - **Sabidussi**: Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆ (order 42) - - **Tiling**: {6,3} — 7 hexagonal faces on the torus (genus 1) - - **CSS code**: [[21, 2, ≥ 3]] - - - [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/heawood-F014A.jpg) — the Heawood graph (F014A) +* **Sabidussi**: Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆ (order 42) +* **Tiling**: {6,3} — 7 hexagonal faces on the torus (genus 1) +* **CSS code**: [[21, 2, ≥ 3]] +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/heawood-F014A.jpg) Vertices 0–6 are the 7 points of the Fano plane. Vertices 7–13 are the 7 lines. @@ -21,9 +24,6 @@ Edge i connects a point to the line containing it. All axioms verified by the Lean kernel (`decide`). No sorry. -/ -import Mathlib.Combinatorics.CellularSurface -import Archive.VoltageGraphs - set_option linter.style.nativeDecide false open CellularSurface diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean index e499313ba6694e..bcb3f21e012eac 100644 --- a/Archive/KleinSurface.lean +++ b/Archive/KleinSurface.lean @@ -2,33 +2,32 @@ Copyright (c) 2026 Robin Langer. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +/-! # Klein Quartic (F056A): Array-backed CellularSurface -The Klein graph (Foster census F056A) is a cubic arc-transitive graph on 56 vertices -embedded on the Klein quartic surface of genus 3. +The Klein graph (Foster census F056A) is a cubic arc-transitive graph +on 56 vertices embedded on the Klein quartic surface of genus 3. - - **Sabidussi**: Sab(PSL(2,7), C₃), |PSL(2,7)| = 168. **Primitive** (no block system). - - **Tiling**: {7,3} — 24 heptagonal faces - - V = 56, E = 84, F = 24, genus = 3, χ = -4 - - **CSS code**: [[84, 6, ≥ 4]] - - - [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/klein-F056A.jpg) — symmetry-aware drawing +* **Sabidussi**: Sab(PSL(2,7), C₃), |PSL(2,7)| = 168. Primitive. +* **Tiling**: {7,3} — 24 heptagonal faces +* V = 56, E = 84, F = 24, genus = 3, χ = -4 +* **CSS code**: [[84, 6, ≥ 4]] +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/klein-F056A.jpg) Array-backed data (auto-generated by `generate_lean_surface.py`). --/ -import Mathlib.Combinatorics.CellularSurface +## Array-backed lookup +We store edge/face data in `Array` literals (flat memory, O(1) lookup) +rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration). +A helper converts `Array` + size proof → `Fin n → α`. +-/ set_option linter.style.nativeDecide false -/-! ## Array-backed lookup - - We store edge/face data in `Array` literals (flat memory, O(1) lookup) - rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration depth). - A helper converts `Array` + size proof → `Fin n → α`. -/ - /-- Convert an Array to a function on Fin, given a proof that the array has the right size. Uses `a[i]'h` for O(1) lookup. -/ def arrayToFin {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := @@ -69,14 +68,22 @@ private def KleinSurface_face_edge_data : Array (Fin 84) := private def KleinSurface_face_dir_data : Array Bool := #[ - true, true, true, true, true, false, false, true, false, false, false, false, false, false, true, true, true, true, false, false, - false, true, true, true, true, true, false, false, true, true, true, true, true, false, false, true, true, true, true, true, - false, false, true, true, true, true, true, false, false, true, true, true, true, true, false, false, true, true, false, true, - false, true, false, true, false, false, true, true, false, false, true, true, false, false, true, true, false, true, false, false, - true, true, false, false, true, true, false, false, true, true, false, true, false, false, true, true, false, false, true, true, - false, false, true, true, false, true, false, false, true, true, false, false, true, true, true, false, true, true, false, true, - false, true, false, false, false, false, true, true, false, true, false, false, false, true, false, true, false, false, false, false, - true, true, false, true, false, false, false, true, false, true, false, false, false, false, true, false, true, false, false, false, + true, true, true, true, true, false, false, true, false, false, false, false, false, false, + true, true, true, true, false, false, + false, true, true, true, true, true, false, false, true, true, true, true, true, false, false, + true, true, true, true, true, + false, false, true, true, true, true, true, false, false, true, true, true, true, true, false, + false, true, true, false, true, + false, true, false, true, false, false, true, true, false, false, true, true, false, false, + true, true, false, true, false, false, + true, true, false, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, false, true, true, + false, false, true, true, false, true, false, false, true, true, false, false, true, true, + true, false, true, true, false, true, + false, true, false, false, false, false, true, true, false, true, false, false, false, true, + false, true, false, false, false, false, + true, true, false, true, false, false, false, true, false, true, false, false, false, false, + true, false, true, false, false, false, false, true, false, true, false, false, false, false ] From f093609fc7d814ed3f04003c8137e4a546b8dd2e Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 00:09:54 +1000 Subject: [PATCH 20/35] fix: Mathlib.lean ordering + longFile option for ClayworthSurface - Move CellularSurface before Colex in Mathlib.lean (alphabetical) - Add set_option linter.style.longFile 4200 for the 4048-line Clayworth surface data file (genus 505, 4032 vertices) --- Archive/ClayworthSurface.lean | 1 + Mathlib.lean | 2 +- 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/Archive/ClayworthSurface.lean b/Archive/ClayworthSurface.lean index f0d33062842249..eba6641aa2decc 100644 --- a/Archive/ClayworthSurface.lean +++ b/Archive/ClayworthSurface.lean @@ -31,6 +31,7 @@ rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration). A helper converts `Array` + size proof → `Fin n → α`. -/ +set_option linter.style.longFile 4200 set_option linter.style.nativeDecide false /-- Convert an Array to a function on Fin, given a proof that the array has diff --git a/Mathlib.lean b/Mathlib.lean index 7215598808ea0e..d5e433b1aa99b0 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3491,9 +3491,9 @@ public import Mathlib.Combinatorics.Additive.RuzsaCovering public import Mathlib.Combinatorics.Additive.SmallTripling public import Mathlib.Combinatorics.Additive.SubsetSum public import Mathlib.Combinatorics.Additive.VerySmallDoubling +public import Mathlib.Combinatorics.CellularSurface public import Mathlib.Combinatorics.Colex public import Mathlib.Combinatorics.Compactness -public import Mathlib.Combinatorics.CellularSurface public import Mathlib.Combinatorics.Configuration public import Mathlib.Combinatorics.Derangements.Basic public import Mathlib.Combinatorics.Derangements.Exponential From 977e10a925b49f7bebfd6b091e9ee7ad902a5891 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 11:35:14 +1000 Subject: [PATCH 21/35] feat(Archive): Klein quartic graph is a Sabidussi coset graph MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Add kleinSabidussiIso: the Klein graph (56 vertices, cubic) is isomorphic to a coset graph via the Sabidussi representation theorem. PGL(2,7) (order 336) acts vertex-transitively with stabilizer of order 6: kleinGraph ≃g Sab(PGL(2,7), H₆, D) with 56 = 336/6 vertices. Generators computed by GAP (GRAPE AutGroupGraph) from the Lean edge data. --- Archive/KleinSurface.lean | 64 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 64 insertions(+) diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean index bcb3f21e012eac..3a791d10dbe84c 100644 --- a/Archive/KleinSurface.lean +++ b/Archive/KleinSurface.lean @@ -177,3 +177,67 @@ private def kleinZ7Data : Array (Fin 8) := -- Quotient graph theorems omitted; they depend on SimpleGraph.quotientGraph -- from the Sabidussi chain (#39551) and belong in a separate PR. + +/-! ## Sabidussi coset graph representation -/ + +section KleinSabidussi + +private def kG1F : Array (Fin 56) := #[0,6,26,48,41,34,27,16,39,52,36,18,46,29,9,45,54,50,30,12,23,5,33,49,17,55,42,1,4,40,11,15,44,51,21,3,47,8,38,37,13,28,2,25,53,31,19,10,35,20,24,22,14,32,7,43] +private def kG1I : Array (Fin 56) := #[0,27,42,35,28,21,1,54,37,14,47,30,19,40,52,31,7,24,11,46,49,34,51,20,50,43,2,6,41,13,18,45,53,22,5,48,10,39,38,8,29,4,26,55,32,15,12,36,3,23,17,33,9,44,16,25] +private def kG2F : Array (Fin 56) := #[1,0,6,5,4,3,2,11,10,9,8,7,13,12,19,18,17,16,15,14,20,27,26,25,24,23,22,21,42,48,47,46,45,44,43,35,41,40,39,38,37,36,28,34,33,32,31,30,29,52,51,50,49,55,54,53] +private def kG2I : Array (Fin 56) := #[1,0,6,5,4,3,2,11,10,9,8,7,13,12,19,18,17,16,15,14,20,27,26,25,24,23,22,21,42,48,47,46,45,44,43,35,41,40,39,38,37,36,28,34,33,32,31,30,29,52,51,50,49,55,54,53] +private theorem kG1F_s : kG1F.size = 56 := by native_decide +private theorem kG1I_s : kG1I.size = 56 := by native_decide +private theorem kG2F_s : kG2F.size = 56 := by native_decide +private theorem kG2I_s : kG2I.size = 56 := by native_decide +private def kG1 : Equiv.Perm (Fin 56) where + toFun i := kG1F[i.val]'(by have := kG1F_s; omega) + invFun i := kG1I[i.val]'(by have := kG1I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def kG2 : Equiv.Perm (Fin 56) where + toFun i := kG2F[i.val]'(by have := kG2F_s; omega) + invFun i := kG2I[i.val]'(by have := kG2I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def kGens : Fin 2 → Equiv.Perm (Fin 56) | 0 => kG1 | 1 => kG2 +private def kGroup : Subgroup (Equiv.Perm (Fin 56)) := Subgroup.closure (Set.range kGens) + +private def kWD : Array (List (Fin 4)) := #[ + [],[1],[1,0,1],[1,2,1,0,1],[1,0,1,2,1,0],[1,2,1,0],[1,0],[1,0,1,0,1,2,1,2,1,2], + [1,0,1,2,1,2,1,2,1],[1,2,1,2,1,0,1,0,1,2],[1,0,1,2,1,2,1,2],[1,0,1,2,1,2,1,0,1,0], + [1,2,1,0,1,0,1,2,1],[1,2,1,0,1,0,1,2],[1,2,1,2,1,0,1,0,1,0],[1,0,1,0,1,0,1,2,1,2], + [1,0,1,0,1,2,1,2,1],[1,0,1,0,1,2,1,2],[1,0,1,2,1,2,1,0,1,2],[1,2,1,0,1,0,1,2,1,2], + [1,2,1,2,1,0,1,2],[1,2,1],[1,0,1,0,1],[1,2,1,2,1,0,1],[1,0,1,0,1,2,1,0],[1,2,1,2,1,0], + [1,0,1,0],[1,2],[1,0,1,2,1],[1,2,1,0,1,0,1],[1,0,1,2,1,2,1,0,1],[1,0,1,0,1,0,1,2,1,0], + [1,0,1,0,1,0,1,2],[1,0,1,0,1,0],[1,2,1,2],[1,2,1,0,1,2],[1,0,1,2,1,2,1], + [1,2,1,0,1,0,1,0,1],[1,0,1,2,1,2,1,2,1,0,1],[1,0,1,2,1,2,1,2,1,0],[1,2,1,0,1,0,1,0], + [1,0,1,2,1,2],[1,0,1,2],[1,2,1,2,1],[1,0,1,0,1,0,1],[1,0,1,0,1,0,1,2,1], + [1,2,1,0,1,0,1,2,1,0],[1,0,1,2,1,2,1,0],[1,2,1,0,1,0],[1,2,1,2,1,0,1,0], + [1,0,1,0,1,2,1],[1,0,1,0,1,2],[1,2,1,2,1,0,1,0,1],[1,2,1,2,1,2,1],[1,0,1,0,1,2,1,2,1,0], + [1,2,1,2,1,2]] +private theorem kWD_s : kWD.size = 56 := by native_decide +private def kWit (v : Fin 56) : List (Fin 4) := kWD[v.val]'(by have := kWD_s; omega) +private theorem kWit_ok : ∀ v : Fin 56, applyWord' kGens (kWit v) 0 = v := by native_decide +private noncomputable instance : MulAction kGroup (Fin 56) := MulAction.compHom _ kGroup.subtype +private noncomputable instance : GraphAction kGroup (Fin 56) kleinGraph where + adj_smul g u v h := closureGraphAction kGens + (fun i => by match i with | 0 => exact (by native_decide) | 1 => exact (by native_decide)) + g.1 g.2 u v h +private noncomputable instance : MulAction.IsPretransitive kGroup (Fin 56) where + exists_smul_eq x y := + ⟨⟨_, kGroup.mul_mem (applyWord'_mem kGens _) (kGroup.inv_mem (applyWord'_mem kGens _))⟩, by + change ((applyWord' kGens (kWit x)).symm.trans (applyWord' kGens (kWit y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' kGens (kWit x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (kWit_ok x).symm]; exact kWit_ok y⟩ + +/-- **The Klein quartic graph is a Sabidussi coset graph**: `Sab(PGL(2,7), C₂₄, D)`. + +PGL(2,7) (order 336) acts vertex-transitively on the 56 vertices. +The stabilizer of vertex 0 has order 6, giving 336/6 = 56 vertices. -/ +noncomputable def kleinSabidussiIso : + kleinGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer kGroup (0 : Fin 56)) + (connectionSet kGroup kleinGraph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 +end KleinSabidussi From 35c6191945efeb3762fc7d5f237199b95c9dc052 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 14:29:24 +1000 Subject: [PATCH 22/35] feat(Archive): Zhou-3 and Zhou-6 Sabidussi isos + quotient proof MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Add SabidussiWitness.lean with shared helpers (applyWord', closureGraphAction, applyWord'_mem) for proving concrete graphs are Sabidussi coset graphs via generators and BFS witness words. Zhou-3 (182v): Sab(PSL(2,13), S₃) — two generators of order 7 and 2 Zhou-6 (91v): Sab(PSL(2,13), D₁₂) — two generators of order 7 and 3 Zhou quotient: zhou6Graph = zhouGraph.quotientGraph zhouBlockMap, proved via precomputed block representatives to avoid expensive existential quantifiers. Also fixes KleinSurface.lean import to reference SabidussiWitness. --- Archive/KleinSurface.lean | 1 + Archive/ZhouGraph.lean | 204 +++++++++++++++++- Mathlib.lean | 1 + .../SimpleGraph/SabidussiWitness.lean | 93 ++++++++ 4 files changed, 295 insertions(+), 4 deletions(-) create mode 100644 Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean index 3a791d10dbe84c..5ecd7a2cba0701 100644 --- a/Archive/KleinSurface.lean +++ b/Archive/KleinSurface.lean @@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer -/ import Mathlib.Combinatorics.CellularSurface +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness /-! # Klein Quartic (F056A): Array-backed CellularSurface diff --git a/Archive/ZhouGraph.lean b/Archive/ZhouGraph.lean index 6b578eb840d865..f6feff852663d7 100644 --- a/Archive/ZhouGraph.lean +++ b/Archive/ZhouGraph.lean @@ -5,6 +5,7 @@ Authors: Robin Langer -/ import Mathlib.Combinatorics.SimpleGraph.Basic import Mathlib.Combinatorics.SimpleGraph.QuotientGraph +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness /-! # The Zhou-3 graph (F182A) and its Z₂ quotient (Zhou-6) @@ -204,11 +205,206 @@ theorem zhou6Graph_edgeCount : /-! ### Quotient relationship The Zhou-6 graph is the Z₂ quotient of the Zhou-3 graph via `zhouBlockMap`. -The brute-force `native_decide` proof of `zhou6_eq_quotient` is too expensive -(existential over Fin 182² for each of 91² pairs). A structural proof via -PSL(2,13) generators (analogous to `G2Action.langer_eq_tutte12_distance2'`) -would scale better. -/ +Each block has size 2; we precompute both representatives per block and +reduce the existential to checking 4 pairs. -/ /-- The Z₂ quotient of the Zhou-3 graph (defined abstractly via quotientGraph). -/ def zhouQuotientGraph : SimpleGraph (Fin 91) := zhouGraph.quotientGraph zhouBlockMap + +/-- For each block `b ∈ Fin 91`, the two vertices `u₁, u₂ ∈ Fin 182` with +`zhouBlockMap u = b`. Precomputed to make the quotient proof decidable. -/ +private def zhouBlockReps : Array (Fin 182 × Fin 182) := #[ + (0,137),(5,92),(65,73),(4,147),(59,179),(32,103),(3,106),(51,169),(26,83),(2,116), + (64,138),(43,150),(117,157),(17,120),(1,162),(18,61),(58,96),(13,180),(40,112), + (7,166),(128,164),(15,80),(10,176),(60,102),(66,105),(8,56),(33,71),(50,156), + (28,87),(25,172),(70,123),(36,144),(12,62),(79,142),(20,89),(16,95),(63,84), + (52,99),(110,125),(24,129),(38,47),(27,68),(39,126),(19,155),(153,173),(69,85), + (30,53),(82,104),(109,167),(11,136),(6,161),(55,114),(115,170),(41,178),(94,108), + (76,127),(37,42),(54,133),(45,77),(159,165),(9,124),(44,90),(22,121),(148,154), + (21,49),(93,118),(78,171),(139,145),(23,91),(34,134),(46,160),(57,168),(75,163), + (107,158),(48,146),(14,149),(29,132),(135,143),(35,111),(31,74),(67,130),(88,101), + (97,152),(113,151),(98,174),(141,181),(119,131),(86,122),(81,177),(100,175),(72,140)] +private theorem zhouBlockReps_size : zhouBlockReps.size = 91 := by native_decide + +/-- The precomputed representatives are correct: both map to the given block. -/ +private theorem zhouBlockReps_correct : + ∀ b : Fin 91, + let r := zhouBlockReps[b.val]'(by have := zhouBlockReps_size; omega) + zhouBlockMap r.1 = b ∧ zhouBlockMap r.2 = b := by + native_decide + +/-- Every vertex maps to one of the two representatives for its block. -/ +private theorem zhouBlockMap_exhaustive : + ∀ v : Fin 182, + let r := zhouBlockReps[(zhouBlockMap v).val]'(by have := zhouBlockReps_size; omega) + v = r.1 ∨ v = r.2 := by + native_decide + +/-- **The Zhou-6 graph equals the Z₂ quotient of the Zhou-3 graph.** + +`zhou6Graph.Adj a b ↔ zhouGraph.quotientGraph(zhouBlockMap).Adj a b` for all `a b`. -/ +theorem zhou6_eq_quotient : zhou6Graph = zhouQuotientGraph := by + ext a b + simp only [zhouQuotientGraph, SimpleGraph.quotientGraph] + constructor + · intro h + refine ⟨by rintro rfl; exact (zhou6Graph.loopless.irrefl a) h, ?_⟩ + let ra := zhouBlockReps[a.val]'(by have := zhouBlockReps_size; omega) + let rb := zhouBlockReps[b.val]'(by have := zhouBlockReps_size; omega) + -- At least one of the 4 cross-block pairs must be adjacent in zhouGraph. + -- We prove this by native_decide on a Bool reformulation. + have : ∀ a b : Fin 91, zhou6Graph.Adj a b → + let ra := zhouBlockReps[a.val]'(by have := zhouBlockReps_size; omega) + let rb := zhouBlockReps[b.val]'(by have := zhouBlockReps_size; omega) + zhouGraph.Adj ra.1 rb.1 ∨ zhouGraph.Adj ra.1 rb.2 ∨ + zhouGraph.Adj ra.2 rb.1 ∨ zhouGraph.Adj ra.2 rb.2 := by native_decide + obtain h4 := this a b h + rcases h4 with h1 | h2 | h3 | h4 + · exact ⟨ra.1, rb.1, (zhouBlockReps_correct a).1, (zhouBlockReps_correct b).1, h1⟩ + · exact ⟨ra.1, rb.2, (zhouBlockReps_correct a).1, (zhouBlockReps_correct b).2, h2⟩ + · exact ⟨ra.2, rb.1, (zhouBlockReps_correct a).2, (zhouBlockReps_correct b).1, h3⟩ + · exact ⟨ra.2, rb.2, (zhouBlockReps_correct a).2, (zhouBlockReps_correct b).2, h4⟩ + · rintro ⟨hne, u, v, hu, hv, hadj⟩ + have key : ∀ u v : Fin 182, zhouGraph.Adj u v → + zhou6Graph.Adj (zhouBlockMap u) (zhouBlockMap v) := by native_decide + rw [← hu, ← hv]; exact key u v hadj + +/-! ## Sabidussi coset graph representations -/ + +section ZhouSabidussi + +/-! ### Zhou-3: Sab(PSL(2,13), S₃) -/ + +private def zG1F : Array (Fin 182) := #[120,121,114,109,118,45,13,116,115,101,110,76,104,49,12,117,105,111,112,15,103,11,113,108,46,106,48,72,73,8,74,75,44,47,102,100,119,14,107,165,174,95,149,156,34,179,97,158,178,136,85,161,129,31,147,130,170,171,138,70,36,40,82,7,1,71,57,122,140,153,181,38,172,33,163,150,135,59,26,87,157,61,164,146,166,173,148,65,96,32,134,94,77,81,5,66,64,132,133,24,155,58,144,90,128,168,167,145,92,176,68,175,98,9,67,52,55,137,177,20,35,151,154,141,88,27,159,143,126,160,86,89,56,4,60,51,127,17,162,142,25,91,28,169,131,79,41,93,63,62,50,124,29,30,84,80,69,0,139,37,152,180,22,43,39,42,2,10,78,6,99,83,3,53,54,19,125,18,16,123,21,23] +private def zG1I : Array (Fin 182) := #[157,64,166,172,133,94,169,63,29,113,167,21,14,6,37,19,178,137,177,175,119,180,162,181,99,140,78,125,142,152,153,53,89,73,44,120,60,159,71,164,61,146,165,163,32,5,24,33,26,13,150,135,115,173,174,116,132,66,101,77,134,81,149,148,96,87,95,114,110,156,59,65,27,28,30,31,11,92,168,145,155,93,62,171,154,50,130,79,124,131,103,141,108,147,91,41,88,46,112,170,35,9,34,20,12,16,25,38,23,3,10,17,18,22,2,8,7,15,4,36,0,1,67,179,151,176,128,136,104,52,55,144,97,98,90,76,49,117,58,158,68,123,139,127,102,107,83,54,86,42,75,121,160,69,122,100,43,80,47,126,129,51,138,74,82,39,84,106,105,143,56,57,72,85,40,111,109,118,48,45,161,70] +private def zG2F : Array (Fin 182) := #[150,163,172,135,115,33,94,166,157,64,133,156,59,26,87,110,132,101,134,77,65,96,148,173,32,116,13,114,149,95,174,165,24,5,61,66,146,81,164,175,167,178,177,137,90,155,158,128,144,58,136,104,52,98,176,68,117,168,49,12,76,34,179,97,9,20,35,67,55,151,145,92,142,89,159,162,60,19,78,140,125,37,169,180,152,113,119,14,120,73,44,153,71,181,6,29,21,63,53,99,126,17,127,129,51,111,143,160,161,112,15,105,109,85,27,4,25,56,141,86,88,154,131,139,138,80,100,102,47,103,130,122,16,10,18,3,50,43,124,123,79,118,72,106,48,70,36,170,22,28,0,69,84,91,121,45,11,8,46,74,107,108,75,1,38,31,7,40,57,82,147,171,2,23,30,39,54,42,41,62,83,93] +private def zG2I : Array (Fin 182) := #[150,163,172,135,115,33,94,166,157,64,133,156,59,26,87,110,132,101,134,77,65,96,148,173,32,116,13,114,149,95,174,165,24,5,61,66,146,81,164,175,167,178,177,137,90,155,158,128,144,58,136,104,52,98,176,68,117,168,49,12,76,34,179,97,9,20,35,67,55,151,145,92,142,89,159,162,60,19,78,140,125,37,169,180,152,113,119,14,120,73,44,153,71,181,6,29,21,63,53,99,126,17,127,129,51,111,143,160,161,112,15,105,109,85,27,4,25,56,141,86,88,154,131,139,138,80,100,102,47,103,130,122,16,10,18,3,50,43,124,123,79,118,72,106,48,70,36,170,22,28,0,69,84,91,121,45,11,8,46,74,107,108,75,1,38,31,7,40,57,82,147,171,2,23,30,39,54,42,41,62,83,93] +private theorem zG1F_s : zG1F.size = 182 := by native_decide +private theorem zG1I_s : zG1I.size = 182 := by native_decide +private theorem zG2F_s : zG2F.size = 182 := by native_decide +private theorem zG2I_s : zG2I.size = 182 := by native_decide +private def zG1 : Equiv.Perm (Fin 182) where + toFun i := zG1F[i.val]'(by have := zG1F_s; omega) + invFun i := zG1I[i.val]'(by have := zG1I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def zG2 : Equiv.Perm (Fin 182) where + toFun i := zG2F[i.val]'(by have := zG2F_s; omega) + invFun i := zG2I[i.val]'(by have := zG2I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def zGens : Fin 2 → Equiv.Perm (Fin 182) | 0 => zG1 | 1 => zG2 +private def zGroup : Subgroup (Equiv.Perm (Fin 182)) := Subgroup.closure (Set.range zGens) + +private def zWD : Array (List (Fin 4)) := #[ + [],[0,1,0,0,0],[2,2,1,0,1,2],[2,2,1,2,2,2],[2,1,0,1],[2,2,2,1,2],[1,0,1,2,2,2],[1,2,1,0,1,0,0], + [2,1],[0,1,0,0,1],[2,1,0,1,2,1],[0,1,0,1,0],[0,0,0,1,2,2,2],[1,0,1,2,2],[0,0,0,1,0,0,0],[1,2,2,1,2,1,0,0], + [0,0,1,0,1,2,2],[0,1,0,0,1,0,1],[1,2,2,1,0,1,0],[1,2,2,1,2,1,0],[2,1,0,0,0,1,2],[0,1,0,1],[1,2,1,0],[1,0,0,0,1], + [0,0,0,1,2,1,0,1,2],[1,0,1,0,0,1,2],[1,0,1,2,2,1],[2,2,1,0],[1,2,2,1,0,0,1],[2,1,2],[0,0,0,1,0,1,2],[1,2,2], + [1,0,1,0,1,2,2,2],[2,2,2,1,2,1],[1,0,1,0,1,2],[0,0],[0,0,1,2,2,2,1],[0,0,0,1,0,0],[1,2,2,1,2,2,1],[1,2,2,1,2], + [2,2,1,2,1,2,2],[0,0,1,2,2],[1,2,2,1,0],[0,1,0,0,0,1,0],[1,0,1,0,1,2,2],[2,2,2,1],[0,0,0,1,2,1,0,1],[0,0,0,1,2,1], + [0,0,1,2,2,1,2],[1,0,1,2],[1,0],[0,0,0,1,2,2,1],[2,1,0,0],[1,2,2,2],[2,2,1,2,1],[1,2,1,0,1,2,2,2], + [2,2,1,2,1,0,1,2],[0,0,1,0],[0,1,2,1,2],[0,0,0,1,2,2,2,1],[0,1,0,1,0,0,1],[1,0,1,0,1,2,1],[2,2,2,1,0,1],[1,2,1,0,1,0], + [0,1,0,0],[2,1,0,0,0,1,2,1],[0,0,1],[2,2,1,0,1,0],[2,1,0,1,2,1,0,0],[0,1,2,2,1],[1,0,0,0,1,2,2],[1,0,0,0,1,0,0,1], + [2,2,1,0,0],[2,2,2,1,2,1,2],[0,0,0,1,0,1],[1,2],[0,1,0,1,0,0],[1,0,0,0,1,0,0,0],[0,0,1,0,1,0],[2,1,2,2,2,1,0,0], + [2,2],[0,0,0,1,0,0,1],[1,0,1,0,0,0,1],[0,0,1,0,0,0],[2,1,2,2,1],[1,0,0],[1,2,1,0,1,2],[0,0,0,1,0,0,0,1], + [0,1],[1,0,1,0,1,0,0,0],[2,1,0,0,0,1,0],[0,1,2,2,1,0,1],[1,0,0,0,1,0,0],[1,0,0,0,1,2,1],[2,2,2,1,2,2],[0,0,1,2], + [0,1,0],[1,2,1,0,1,0,1],[1,2,2,2,1],[2,2,1,2,1,0,1,0],[0,0,0],[0,1,0,0,1,0],[1,0,1,0,1],[2,1,0,0,0,1], + [0,0,0,1,2,2],[0,0,1,0,1,2],[1,0,1,0,0,1],[2,1,2,2,2,1],[1,0,0,0,1,0],[2,2,1,2,2],[2,1,0,1,2,1,0],[0,0,1,0,1,2,1], + [1,2,2,2,1,2],[1,0,0,1],[2,2,1,0,1],[2,1,0],[1,0,1,0,0,1,2,1],[0,1,0,0,0,1,0,1,2],[2,1,0,1,0],[1,2,1,0,1,2,1], + [0],[0,1,2,2,2],[0,1,2,2,2,1,2],[2,2,2,1,0,0],[0,1,2],[2,2,1],[0,0,0,1],[1,0,1,0], + [0,0,0,1,2],[2,1,0,0,0],[1,2,1,0,1,2,2],[1,0,1,0,1,0,0],[0,0,1,0,1,2,2,1],[2,1,0,1,2],[0,1,0,1,0,0,1,2],[0,1,0,1,0,0,0], + [1,0,1],[0,1,0,0,0,1,0,1],[0,1,2,1],[2,2,1,0,0,1,2],[1,0,1,0,0,1,2,2],[2,1,0,1,0,1],[2,2,1,0,0,1],[1,0,1,0,0], + [1,0,1,0,1,0],[2,1,2,2,2,1,0],[0,0,1,2,2,2],[2,2,1,2,1,0],[1,2,1,0,1],[1,2,2,1,0,0],[1],[0,1,2,2], + [2,1,2,2],[0,1,2,2,1,0],[0,1,2,2,2,1],[2,2,2],[0,1,0,1,0,1],[2],[0,0,0,1,2,1,0],[0,0,0,1,0], + [2,1,2,2,2],[0,1,0,1,2,2],[1,2,1],[0,1,0,0,0,1],[1,2,2,1,2,2],[1,2,2,1],[2,1,2,2,1,0],[1,0,1,0,0,1,0], + [0,0,1,0,1],[1,0,1,0,0,0],[2,2,1,2,1,0,1],[0,0,1,0,0],[2,2,1,0,0,0],[1,0,0,0],[2,2,1,2,1,2],[1,2,2,1,2,1], + [2,2,1,2],[1,2,2,1,0,1],[0,0,1,2,2,1],[2,2,2,1,0],[0,1,0,1,2],[1,0,0,0,1,2]] +private theorem zWD_s : zWD.size = 182 := by native_decide +private def zWit (v : Fin 182) : List (Fin 4) := zWD[v.val]'(by have := zWD_s; omega) +private theorem zWit_ok : ∀ v : Fin 182, applyWord' zGens (zWit v) 0 = v := by native_decide +private noncomputable instance : MulAction zGroup (Fin 182) := MulAction.compHom _ zGroup.subtype +private noncomputable instance : GraphAction zGroup (Fin 182) zhouGraph where + adj_smul g u v h := closureGraphAction zGens + (fun i => by match i with | 0 => exact (by native_decide) | 1 => exact (by native_decide)) + g.1 g.2 u v h +private noncomputable instance : MulAction.IsPretransitive zGroup (Fin 182) where + exists_smul_eq x y := + ⟨⟨_, zGroup.mul_mem (applyWord'_mem zGens _) (zGroup.inv_mem (applyWord'_mem zGens _))⟩, by + change ((applyWord' zGens (zWit x)).symm.trans (applyWord' zGens (zWit y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' zGens (zWit x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (zWit_ok x).symm]; exact zWit_ok y⟩ + +/-- **The Zhou-3 graph is a Sabidussi coset graph**: `Sab(PSL(2,13), S₃, D)`. + +PSL(2,13) (order 1092) acts vertex-transitively on the 182 vertices. +The stabilizer of vertex 0 has order 6 (≅ S₃), giving 1092/6 = 182 vertices. -/ +noncomputable def zhouSabidussiIso : + zhouGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer zGroup (0 : Fin 182)) + (connectionSet zGroup zhouGraph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +/-! ### Zhou-6: Sab(PSL(2,13), D₁₂) -/ + +private def z6G1F : Array (Fin 91) := #[89,71,7,84,68,48,12,90,1,41,86,74,33,55,22,52,36,43,45,80,79,61,64,21,28,16,67,65,53,60,17,88,31,58,11,32,10,6,81,72,78,82,2,47,76,56,69,24,87,73,37,63,85,30,27,25,0,5,70,66,51,42,29,19,77,14,40,75,26,83,50,44,3,8,59,20,49,54,34,4,62,18,57,39,46,35,13,9,15,38,23] +private def z6G1I : Array (Fin 91) := #[56,8,42,72,79,57,37,2,73,87,36,34,6,86,65,88,25,30,81,63,75,23,14,90,47,55,68,54,24,62,53,32,35,12,78,85,16,50,89,83,66,9,61,17,71,18,84,43,5,76,70,60,15,28,77,13,45,82,33,74,29,21,80,51,22,27,59,26,4,46,58,1,39,49,11,67,44,64,40,20,19,38,41,69,3,52,10,48,31,0,7] +private def z6G2F : Array (Fin 91) := #[32,65,53,63,81,56,46,41,87,66,1,79,61,29,20,68,18,37,59,84,21,14,40,43,33,85,72,28,45,55,15,24,86,31,73,35,71,49,34,8,76,70,3,78,11,27,67,75,12,17,4,54,2,52,82,13,80,60,19,16,62,48,57,42,83,10,69,6,30,9,7,74,90,38,36,88,22,25,23,44,5,50,51,89,58,77,0,39,47,64,26] +private def z6G2I : Array (Fin 91) := #[86,10,52,42,50,80,67,70,39,69,65,44,48,55,21,30,59,49,16,58,14,20,76,78,31,77,90,45,27,13,68,33,0,24,38,35,74,17,73,87,22,7,63,23,79,28,6,88,61,37,81,82,53,2,51,29,5,62,84,18,57,12,60,3,89,1,9,46,15,66,41,36,26,34,71,47,40,85,43,11,56,4,54,64,19,25,32,8,75,83,72] +private theorem z6G1F_s : z6G1F.size = 91 := by native_decide +private theorem z6G1I_s : z6G1I.size = 91 := by native_decide +private theorem z6G2F_s : z6G2F.size = 91 := by native_decide +private theorem z6G2I_s : z6G2I.size = 91 := by native_decide +private def z6G1 : Equiv.Perm (Fin 91) where + toFun i := z6G1F[i.val]'(by have := z6G1F_s; omega) + invFun i := z6G1I[i.val]'(by have := z6G1I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def z6G2 : Equiv.Perm (Fin 91) where + toFun i := z6G2F[i.val]'(by have := z6G2F_s; omega) + invFun i := z6G2I[i.val]'(by have := z6G2I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def z6Gens : Fin 2 → Equiv.Perm (Fin 91) | 0 => z6G1 | 1 => z6G2 +private def z6Group : Subgroup (Equiv.Perm (Fin 91)) := Subgroup.closure (Set.range z6Gens) + +private def z6WD : Array (List (Fin 4)) := #[ + [],[3,2,1],[1,2,2,2,1],[0,3,0,0,0],[0,0,0,3],[2,3],[0,3,2,2,3],[0,0,0,1,2,1], + [0,0,3,0],[0,3,2,1],[3,2],[0,0,1,0],[1,0,3,2],[3,0],[0,1,2,2],[1,0,0,0],[2,2,2,3], + [0,0,3,2,1],[2,2,2],[2,1,2],[0,1,2,2,1],[0,1,2,2,3],[0,1,2],[0,0,1,2,1],[1,0,1], + [0,1,0,1],[0,3,0,0,3],[2,2,1],[2,2,3],[3,0,1],[1,0,0,0,3],[1,0],[1],[1,0,3],[0,0,1], + [1,2],[3,2,2],[0,0,0,1,0],[0,0],[0,3,0],[0,1,2,1],[0,3,2,1,0],[2,1,2,2,1], + [0,0,1,2,3],[0,0,1,0,3],[2,2],[0,3,2,2],[1,0,0,1],[2,3,0],[0,0,3,2],[0,0,0,1], + [0,1,0,0,3],[1,2,2,2],[2,2,3,0],[0,1,0,0],[3,0,0],[2],[2,3,2],[1,0,3,0],[2,2,2,1], + [2,1,0,3],[2,3,0,3],[2,1,0],[2,1,2,2],[0,1],[3,2,3],[0,3,2,3],[0,3,2,2,1], + [0,0,0,3,0],[0,3,2],[0,0,0,1,2],[3,2,1,0],[0,3,0,0],[0,0,3],[3,2,2,3],[1,0,0,3], + [0,1,2,3],[0,1,0],[0,0,1,2],[0,0,0,3,2],[2,1],[0,0,0],[2,3,2,2],[0,3],[2,1,2,1], + [1,2,2],[3],[0,3,0,3],[1,0,0],[0],[0,3,0,0,1]] +private theorem z6WD_s : z6WD.size = 91 := by native_decide +private def z6Wit (v : Fin 91) : List (Fin 4) := z6WD[v.val]'(by have := z6WD_s; omega) +private theorem z6Wit_ok : ∀ v : Fin 91, applyWord' z6Gens (z6Wit v) 0 = v := by native_decide +private noncomputable instance : MulAction z6Group (Fin 91) := MulAction.compHom _ z6Group.subtype +private noncomputable instance : GraphAction z6Group (Fin 91) zhou6Graph where + adj_smul g u v h := closureGraphAction z6Gens + (fun i => by match i with | 0 => exact (by native_decide) | 1 => exact (by native_decide)) + g.1 g.2 u v h +private noncomputable instance : MulAction.IsPretransitive z6Group (Fin 91) where + exists_smul_eq x y := + ⟨⟨_, z6Group.mul_mem (applyWord'_mem z6Gens _) (z6Group.inv_mem (applyWord'_mem z6Gens _))⟩, by + change ((applyWord' z6Gens (z6Wit x)).symm.trans (applyWord' z6Gens (z6Wit y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' z6Gens (z6Wit x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (z6Wit_ok x).symm]; exact z6Wit_ok y⟩ + +/-- **The Zhou-6 graph is a Sabidussi coset graph**: `Sab(PSL(2,13), D₁₂, D)`. + +PSL(2,13) (order 1092) acts vertex-transitively on the 91 vertices. +The stabilizer of vertex 0 has order 12 (≅ D₁₂), giving 1092/12 = 91 vertices. +D₁₂ is maximal in PSL(2,13), so the Zhou-6 graph is **primitive**. -/ +noncomputable def zhou6SabidussiIso : + zhou6Graph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer z6Group (0 : Fin 91)) + (connectionSet z6Group zhou6Graph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +end ZhouSabidussi diff --git a/Mathlib.lean b/Mathlib.lean index d5e433b1aa99b0..a2741e30f6eb84 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -3631,6 +3631,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Regularity.Increment public import Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma public import Mathlib.Combinatorics.SimpleGraph.Regularity.Uniform public import Mathlib.Combinatorics.SimpleGraph.Representation +public import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness public import Mathlib.Combinatorics.SimpleGraph.StronglyRegular public import Mathlib.Combinatorics.SimpleGraph.Subgraph public import Mathlib.Combinatorics.SimpleGraph.Sum diff --git a/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean b/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean new file mode 100644 index 00000000000000..dabea54904d5bc --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean @@ -0,0 +1,93 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Representation + +/-! +# Sabidussi witness helpers + +Standalone functions for proving concrete graphs are Sabidussi coset graphs. +Given `k` generators on `Fin n`, apply words (lists of generator/inverse indices), +prove closure membership, and prove the closure preserves adjacency. + +## Main definitions + +* `genOrInv'` — map word index to generator or inverse +* `applyWord'` — apply a word to get a permutation +* `applyWord'_mem` — word products lie in the generator closure +* `closureGraphAction` — closure elements preserve adjacency (pigeonhole for inverses) +-/ + +set_option linter.style.nativeDecide false + +variable {n k : ℕ} + +/-- Given `k` generators, map index `i : Fin (2k)` to a generator or inverse. +Indices `0, ..., k-1` are generators; `k, ..., 2k-1` are their inverses. -/ +def genOrInv' (gens : Fin k → Equiv.Perm (Fin n)) (i : Fin (2 * k)) : + Equiv.Perm (Fin n) := + if h : i.val < k then gens ⟨i.val, h⟩ + else (gens ⟨i.val - k, by omega⟩).symm + +/-- Apply a word (list of generator/inverse indices) to obtain a permutation. -/ +def applyWord' (gens : Fin k → Equiv.Perm (Fin n)) : + List (Fin (2 * k)) → Equiv.Perm (Fin n) + | [] => Equiv.refl _ + | i :: rest => (genOrInv' gens i).trans (applyWord' gens rest) + +/-- Each generator is in the closure of the generator set. -/ +private theorem gen_mem_closure' (gens : Fin k → Equiv.Perm (Fin n)) (i : Fin k) : + gens i ∈ Subgroup.closure (Set.range gens) := + Subgroup.subset_closure (Set.mem_range.mpr ⟨i, rfl⟩) + +/-- Each generator-or-inverse is in the closure of the generator set. -/ +private theorem genOrInv'_mem_closure (gens : Fin k → Equiv.Perm (Fin n)) + (i : Fin (2 * k)) : + genOrInv' gens i ∈ Subgroup.closure (Set.range gens) := by + unfold genOrInv' + split + · exact gen_mem_closure' gens ⟨_, ‹_›⟩ + · exact Subgroup.inv_mem _ (gen_mem_closure' gens ⟨_, by omega⟩) + +/-- Any word product lies in the closure of the generators. -/ +theorem applyWord'_mem (gens : Fin k → Equiv.Perm (Fin n)) + (w : List (Fin (2 * k))) : + applyWord' gens w ∈ Subgroup.closure (Set.range gens) := by + induction w with + | nil => exact Subgroup.one_mem _ + | cons i rest ih => + show (genOrInv' gens i).trans (applyWord' gens rest) ∈ _ + exact Subgroup.mul_mem _ ih (genOrInv'_mem_closure gens i) + +/-- If every generator preserves adjacency in `Γ`, then every element of the +closure preserves adjacency. The inverse case uses pigeonhole on directed edges. -/ +theorem closureGraphAction {Γ : SimpleGraph (Fin n)} + (gens : Fin k → Equiv.Perm (Fin n)) + (hgens : ∀ i : Fin k, ∀ u v : Fin n, Γ.Adj u v → Γ.Adj (gens i u) (gens i v)) + (σ : Equiv.Perm (Fin n)) (hσ : σ ∈ Subgroup.closure (Set.range gens)) : + ∀ u v : Fin n, Γ.Adj u v → Γ.Adj (σ u) (σ v) := by + induction hσ using Subgroup.closure_induction with + | mem x hx => + obtain ⟨i, rfl⟩ := Set.mem_range.mp hx + exact hgens i + | one => simp + | mul x y _ _ ihx ihy => + intro u v hadj + simp only [Equiv.Perm.mul_apply] + exact ihx _ _ (ihy u v hadj) + | inv x _ ih => + intro u v hadj + let f : { p : Fin n × Fin n // Γ.Adj p.1 p.2 } → + { p : Fin n × Fin n // Γ.Adj p.1 p.2 } := + fun ⟨⟨a, b⟩, hab⟩ => ⟨⟨x a, x b⟩, ih a b hab⟩ + have hf_surj : Function.Surjective f := Finite.surjective_of_injective (by + intro ⟨⟨a₁, b₁⟩, _⟩ ⟨⟨a₂, b₂⟩, _⟩ heq + simp only [f, Subtype.mk.injEq, Prod.mk.injEq] at heq + exact Subtype.ext (Prod.ext (x.injective heq.1) (x.injective heq.2))) + obtain ⟨⟨⟨a, b⟩, hab⟩, heq⟩ := hf_surj ⟨⟨u, v⟩, hadj⟩ + simp only [f, Subtype.mk.injEq, Prod.mk.injEq] at heq + rw [show a = x⁻¹ u from by rw [← heq.1]; simp, + show b = x⁻¹ v from by rw [← heq.2]; simp] at hab + exact hab From 9d08610e7fb4ce0dabedea92ce94bdcea96b5abc Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 14:35:39 +1000 Subject: [PATCH 23/35] doc: clarify Sabidussi theorem applies to arc-transitive graphs The representation theorem proves an isomorphism for any transitive graph action, but the classical Sabidussi coset graph Sab(G, H, HaH) with a single double coset specifically characterizes arc-transitive (symmetric) graphs. For merely vertex-transitive graphs the connection set may be a union of several double cosets. --- .../SimpleGraph/Representation.lean | 16 ++++++++++------ 1 file changed, 10 insertions(+), 6 deletions(-) diff --git a/Mathlib/Combinatorics/SimpleGraph/Representation.lean b/Mathlib/Combinatorics/SimpleGraph/Representation.lean index b1faf6b2f9bd21..f90039a6815f9b 100644 --- a/Mathlib/Combinatorics/SimpleGraph/Representation.lean +++ b/Mathlib/Combinatorics/SimpleGraph/Representation.lean @@ -12,10 +12,14 @@ public import Mathlib.Tactic.Group /-! # The Sabidussi representation theorem -Every vertex-transitive graph is isomorphic to a coset graph. More precisely, -if `G` acts vertex-transitively on a graph `Γ`, then for any basepoint `v`, -the orbit-stabilizer equivalence `V ≃ G ⧸ stabilizer G v` is a graph -isomorphism from `Γ` to `Sab(G, Gᵥ, D)`, where `D = {g ∈ G : Γ.Adj v (g • v)}`. +If a group `G` acts transitively on the vertices of a graph `Γ` while preserving +adjacency, then the orbit-stabilizer equivalence gives a graph isomorphism +`Γ ≃g Sab(G, Gᵥ, D)`, where `Gᵥ` is the stabilizer of a basepoint `v` and +`D = {g ∈ G : Γ.Adj v (g • v)}` is the connection set. + +For **arc-transitive** (symmetric) graphs, the connection set `D` is a single +double coset `HaH`, giving the classical Sabidussi coset graph `Sab(G, H, HaH)`. +For merely vertex-transitive graphs, `D` may be a union of several double cosets. ## Main definitions @@ -133,8 +137,8 @@ theorem sabidussiEquiv_symm_mk (g : G) : (sabidussiEquiv v).symm (QuotientGroup.mk g) = g • v := by rfl -/-- **Sabidussi's Representation Theorem**: Every vertex-transitive graph is -isomorphic to a coset graph. +/-- **Sabidussi's Representation Theorem**: A graph with a transitive group action +preserving adjacency is isomorphic to a coset graph. The orbit-stabilizer equivalence `V ≃ G ⧸ stabilizer G v` is a graph isomorphism from `Γ` to `cosetGraph (stabilizer G v) (connectionSet G Γ v)`. -/ From 281e258b77218b1b47d25a2260a2ce2a99b00bb6 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 15:03:35 +1000 Subject: [PATCH 24/35] =?UTF-8?q?feat(Archive):=20Bolza=20surface=20bridge?= =?UTF-8?q?=20to=20M=C3=B6bius-Kantor=20voltage=20graph?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Prove bolza_surface_eq_voltage: the Bolza CellularSurface graph (GP(8,3)) is isomorphic to mobiusKantorVoltage (voltageGraphK2 8 0 1 3) via a GAP-computed bijection. This connects all three descriptions: CellularSurface (genus 2) ↔ voltageGraphK2 8 {0,1,3} ↔ Sab(GL(2,3), C₃, D) --- Archive/BolzaSurface.lean | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) diff --git a/Archive/BolzaSurface.lean b/Archive/BolzaSurface.lean index bcff06d3241821..69880574118a63 100644 --- a/Archive/BolzaSurface.lean +++ b/Archive/BolzaSurface.lean @@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer -/ import Mathlib.Combinatorics.CellularSurface +import Archive.VoltageGraphs /-! # The Bolza Surface: Möbius-Kantor Graph (F016A) on Genus 2 @@ -59,3 +60,29 @@ theorem bolza_d1_mul_d2_eq_zero : bolzaSurface.d1 * bolzaSurface.d2 = 0 := /-- Euler characteristic confirms genus 2. -/ theorem bolza_euler : (16 : ℤ) - 24 + 6 = 2 - 2 * 2 := by norm_num + +/-! ### Bridge to voltage graph description + +The Bolza surface 1-skeleton is the Möbius-Kantor graph, which also has a +voltage graph description: `voltageGraphK2 8 0 1 3` (see `VoltageGraphs.lean`). +We prove these define the same graph via a GAP-computed bijection. -/ + +private def bolzaBijData : Array (Fin 2 × ZMod 8) := #[ + (0,0),(1,1),(0,1),(1,4),(0,4),(1,5),(0,5),(1,0), + (1,3),(0,6),(1,2),(0,3),(1,7),(0,2),(1,6),(0,7)] +private theorem bolzaBijData_size : bolzaBijData.size = 16 := by native_decide + +/-- The bijection `Fin 16 → Fin 2 × ZMod 8` making the Bolza surface graph +isomorphic to the Möbius-Kantor voltage graph. -/ +def bolzaBij (v : Fin 16) : Fin 2 × ZMod 8 := + bolzaBijData[v.val]'(by have := bolzaBijData_size; omega) + +/-- **Bridge theorem**: the Bolza `CellularSurface` graph equals the +Möbius-Kantor voltage graph under `bolzaBij`. -/ +theorem bolza_surface_eq_voltage : + ∀ u v : Fin 16, + (∃ e : Fin 24, + (bolzaSurface.edge_src e = u ∧ bolzaSurface.edge_tgt e = v) ∨ + (bolzaSurface.edge_src e = v ∧ bolzaSurface.edge_tgt e = u)) ↔ + mobiusKantorVoltage.Adj (bolzaBij u) (bolzaBij v) := by + native_decide From 0227757257c73ba02c5924882ed2529f63e9743b Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 15:37:20 +1000 Subject: [PATCH 25/35] fix: add module declaration to SabidussiWitness.lean MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Lean 4.30 requires all Mathlib/ files to declare `module` and use `public import`. Also fixes `show` → `change` for linter.style.show. --- Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean b/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean index dabea54904d5bc..b644af80347359 100644 --- a/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean +++ b/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean @@ -3,7 +3,9 @@ Copyright (c) 2026 Robin Langer. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer -/ -import Mathlib.Combinatorics.SimpleGraph.Representation +module + +public import Mathlib.Combinatorics.SimpleGraph.Representation /-! # Sabidussi witness helpers @@ -22,6 +24,8 @@ prove closure membership, and prove the closure preserves adjacency. set_option linter.style.nativeDecide false +@[expose] public section + variable {n k : ℕ} /-- Given `k` generators, map index `i : Fin (2k)` to a generator or inverse. @@ -58,7 +62,7 @@ theorem applyWord'_mem (gens : Fin k → Equiv.Perm (Fin n)) induction w with | nil => exact Subgroup.one_mem _ | cons i rest ih => - show (genOrInv' gens i).trans (applyWord' gens rest) ∈ _ + change (genOrInv' gens i).trans (applyWord' gens rest) ∈ _ exact Subgroup.mul_mem _ ih (genOrInv'_mem_closure gens i) /-- If every generator preserves adjacency in `Γ`, then every element of the From 945902e5eae1c38c6ca3c027e44329f94227bb35 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 16:01:49 +1000 Subject: [PATCH 26/35] =?UTF-8?q?feat(Archive):=20Clayworth=20graph=20Sabi?= =?UTF-8?q?dussi=20iso=20via=20G=E2=82=82(2)=20generators?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The Clayworth graph (4032 vertices, cubic, genus 505) is a Sabidussi coset graph: Sab(G₂(2), C₃). Two generators (orders 7 and 6) of G₂(2) ≤ Sym(4032) preserve adjacency, and BFS witness words prove vertex-transitivity. --- Archive.lean | 1 + Archive/ClayworthSabidussi.lean | 1817 +++++++++++++++++++++++++++++++ 2 files changed, 1818 insertions(+) create mode 100644 Archive/ClayworthSabidussi.lean diff --git a/Archive.lean b/Archive.lean index a87847989bef9d..7740ebf0a75cad 100644 --- a/Archive.lean +++ b/Archive.lean @@ -1,5 +1,6 @@ import Archive.Arithcc import Archive.BolzaSurface +import Archive.ClayworthSabidussi import Archive.ClayworthSurface import Archive.Examples.Eisenstein import Archive.Examples.IfNormalization.Result diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean new file mode 100644 index 00000000000000..efc82a78c3bdf6 --- /dev/null +++ b/Archive/ClayworthSabidussi.lean @@ -0,0 +1,1817 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Clayworth graph: Sabidussi coset graph on 4032 vertices + +The **Clayworth graph** (4032 vertices, cubic, genus 505) is `Sab(G₂(2), C₃)`. +`|G₂(2)| = 12096`, `|C₃| = 3`, `12096/3 = 4032` vertices. + +The graph is defined via O(1) neighbor lookup from precomputed adjacency data. +Two generators of G₂(2) (orders 7 and 6) are shown to preserve adjacency, +and BFS witness words prove transitivity. + +* **Main result**: `clayworthSabidussiIso` — the Clayworth graph is a Sabidussi + coset graph +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/clayworth-4032v.jpg) + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longFile 1900 +set_option linter.style.nativeDecide false + +/-! ## Neighbor data (O(3) adjacency lookup) -/ + +private def clayworthNeighborData_chunk0 : Array (Fin 4032) := #[ + 65, 1480, 2592, 192, 1809, 3703, 321, 1120, 3080, 640, 3323, 3345, 659, 2616, 3406, 338, 3665, 3770, 71, 669, 3308, 198, 348, 1123, 1088, 2555, 3074, 3264, 3388, 3995, + 842, 2806, 3210, 970, 2085, 2319, 997, 2068, 3096, 2774, 3247, 3383, 2534, 3079, 3858, 2899, 3379, 3980, 2390, 2495, 3422, 3143, 3723, 3941, 211, 1144, 1870, 82, 3320, 3595, + 2381, 3244, 3449, 2061, 3748, 3924, 699, 3238, 3349, 378, 2102, 3124, 1132, 1864, 3188, 2475, 3299, 3620, 2765, 2918, 3333, 980, 3090, 3879, 221, 327, 3669, 92, 646, 2595, + 2525, 3154, 3914, 2422, 2493, 4009, 1474, 2560, 2943, 1852, 3653, 3902, 1843, 2515, 3864, 1479, 2905, 3979, 2058, 2339, 3958, 869, 2378, 3237, 103, 854, 3596, 230, 1890, 2353, + 2133, 2789, 3639, 982, 1886, 2998, 2947, 3699, 3881, 2172, 2619, 2920, 852, 1496, 2405, 1847, 2336, 3926, 973, 1913, 2330, 845, 2772, 3607, 1014, 2966, 3886, 2129, 2762, 2927, + 2163, 2604, 3400, 2950, 3708, 3751, 1147, 2496, 3160, 2482, 3296, 4016, 678, 3259, 3426, 359, 2070, 3757, 1490, 2388, 4014, 1797, 2502, 3917, 251, 1813, 2347, 122, 886, 1524, + 2973, 3138, 3758, 2117, 2472, 3444, 1908, 2948, 3144, 2167, 2481, 3605, 193, 2180, 2874, 0, 2969, 3281, 833, 1349, 2528, 827, 994, 1600, 1619, 2176, 3956, 850, 1082, 2953, + 199, 812, 1629, 6, 860, 2531, 507, 1372, 2496, 768, 993, 1530, 650, 1930, 3894, 2058, 2250, 3557, 1367, 2277, 3540, 687, 1005, 3862, 486, 1351, 1986, 961, 1511, 3101, + 3183, 3775, 3964, 1035, 1240, 3044, 19, 2552, 2608, 210, 824, 1571, 684, 3146, 3921, 1060, 3019, 3533, 678, 1017, 1659, 890, 1399, 3574, 1262, 2540, 2601, 803, 1592, 3755, + 1018, 3076, 3853, 1346, 1992, 2260, 29, 839, 2997, 220, 1606, 2205, 477, 1234, 3029, 1500, 3174, 3773, 2226, 2855, 3104, 1996, 2963, 3324, 467, 2007, 3315, 1490, 2862, 3072, + 2085, 3020, 3530, 677, 1957, 3173, 231, 1551, 1942, 38, 2086, 2587, 1589, 3605, 3877, 2262, 2571, 3491, 2011, 2950, 3499, 2219, 3115, 3644, 1940, 2852, 3180, 2092, 3031, 3319, + 2095, 2253, 2572, 1545, 1933, 3860, 1998, 2294, 3488, 3122, 3601, 3850, 2208, 3635, 3928, 1063, 2947, 3505, 448, 1255, 2555, 800, 1473, 3762, 699, 1638, 3934, 871, 1069, 3542, + 1479, 2827, 3195, 454, 3063, 3269, 59, 2107, 3285, 250, 1974, 2861, 1070, 1278, 3482, 3589, 3752, 3966, 1257, 2606, 3471, 1567, 3639, 3761, 257, 836, 2694, 576, 1702, 3717, + 814, 1125, 1639, 1083, 1232, 2902, 832, 1059, 1784, 813 +] +private def clayworthNeighborData_chunk1 : Array (Fin 4032) := #[ + 2685, 3713, 263, 1024, 2893, 582, 807, 1108, 1098, 1646, 2414, 1277, 2934, 4020, 1994, 3410, 3787, 567, 1937, 2314, 533, 1624, 2341, 1269, 3416, 3822, 1641, 2409, 3965, 1279, + 2507, 3976, 1737, 2094, 3274, 2673, 3093, 3895, 595, 1142, 2835, 274, 2257, 2890, 1743, 3301, 3803, 524, 2664, 3845, 1068, 1247, 3817, 548, 779, 1618, 1110, 2841, 3123, 2075, + 2261, 2917, 1241, 2542, 3454, 1662, 2324, 3967, 605, 826, 3740, 284, 861, 1056, 2380, 3089, 3861, 2059, 3277, 3986, 882, 2541, 2717, 1723, 3763, 3947, 1708, 2416, 3954, 2532, + 2692, 3970, 535, 1941, 3891, 2021, 3284, 3788, 295, 2006, 2300, 614, 1971, 2854, 2245, 3261, 3438, 2326, 2856, 3391, 3378, 3754, 3953, 875, 2554, 3225, 2004, 2710, 3318, 1674, + 1975, 3900, 1980, 2317, 2863, 1997, 2291, 3431, 2358, 3389, 3944, 2535, 3263, 3433, 864, 1759, 3253, 2674, 3371, 3745, 1101, 2379, 3132, 2060, 2900, 3992, 1080, 1763, 3824, 523, + 804, 2687, 2742, 3286, 3975, 1701, 2395, 3857, 635, 1711, 1925, 314, 2038, 2691, 2667, 3127, 3377, 1781, 2089, 3231, 2879, 3077, 3368, 2096, 2295, 3216, 1, 1905, 4026, 64, + 785, 3519, 480, 1921, 2885, 1851, 2274, 3200, 1906, 3027, 3219, 1938, 2490, 3506, 7, 1836, 3229, 70, 483, 1948, 448, 1147, 2908, 1792, 2273, 2843, 330, 1610, 2043, 2339, + 3331, 3530, 2360, 2903, 3350, 1647, 1984, 2285, 1126, 2770, 2887, 1363, 2241, 2828, 1087, 1245, 3048, 2419, 2443, 3451, 83, 504, 2199, 18, 1848, 2123, 1220, 1644, 3055, 2313, + 2468, 3436, 1638, 2297, 3259, 1978, 2335, 2935, 492, 2188, 2369, 1067, 1827, 2148, 1382, 2016, 2298, 2791, 2882, 3341, 93, 1927, 3517, 28, 1899, 3206, 1117, 2373, 3430, 1085, + 1222, 2857, 1407, 1896, 4007, 828, 2814, 3496, 819, 1107, 2776, 1369, 2827, 4014, 2319, 3429, 3557, 357, 1270, 1637, 39, 342, 2124, 102, 2178, 3558, 1567, 2040, 2167, 2190, + 3343, 3689, 2793, 3505, 3708, 1384, 1597, 1919, 340, 1238, 4004, 823, 3402, 3564, 2184, 3337, 3567, 333, 2028, 2135, 2798, 3354, 3710, 1391, 1552, 2019, 1599, 1917, 3033, 2471, + 3499, 3699, 507, 1088, 2396, 1074, 1824, 2864, 1659, 3046, 3238, 1959, 2357, 2477, 1219, 2862, 3979, 773, 1094, 3439, 123, 789, 3579, 58, 374, 4013, 2410, 2478, 3690, 1064, + 1561, 3071, 2203, 2401, 3696, 1073, 1589, 2133, 329, 577, 3652, 128, 2921, 3328, 1985, 2404, 2462, 1580, 1915, 2338, 1583, 3648, 3859, 697, 2002, 3332, 583, 1595, 1900, 134, + 2012, 2413, 1211, 2379, 2484, 1856, 2337, 2704, 429, 1040 +] +private def clayworthNeighborData_chunk2 : Array (Fin 4032) := #[ + 3949, 535, 3515, 3628, 2492, 3500, 3640, 1055, 2349, 3940, 1190, 2456, 3025, 1649, 2305, 2708, 2625, 3125, 3840, 641, 1417, 2568, 147, 855, 2426, 594, 1912, 3171, 1061, 3081, + 3869, 698, 2612, 3503, 1080, 1573, 2361, 2042, 2449, 3493, 844, 1427, 2407, 1891, 2681, 3192, 1626, 2362, 3915, 2494, 3038, 3615, 157, 1991, 3357, 604, 1574, 3677, 1181, 1461, + 2574, 2682, 2738, 3103, 373, 1632, 3698, 2942, 3070, 3360, 1171, 2940, 3068, 345, 1643, 2742, 567, 2590, 3494, 441, 1044, 3087, 385, 615, 3151, 166, 519, 834, 2295, 3189, + 3943, 846, 3576, 3604, 3032, 3371, 3573, 1635, 2242, 3691, 326, 418, 3107, 517, 2617, 2922, 514, 840, 3621, 442, 3145, 3962, 3060, 3551, 3600, 1615, 2263, 3950, 2247, 3680, + 3878, 674, 3378, 3529, 1152, 1433, 2414, 1888, 2669, 2749, 1068, 1546, 3846, 685, 2023, 3466, 339, 2692, 3128, 1158, 2594, 2931, 187, 540, 2928, 323, 417, 634, 673, 1411, + 3535, 2268, 2657, 3899, 859, 1414, 3555, 2245, 2658, 3167, 641, 900, 1338, 2, 2432, 3704, 1703, 2049, 2929, 315, 1605, 2402, 896, 1602, 2804, 442, 2066, 2436, 300, 647, + 1628, 28, 2076, 2923, 1275, 1710, 2920, 256, 2401, 3130, 202, 1931, 3999, 842, 2719, 3531, 1688, 2741, 3566, 239, 2413, 3984, 1254, 1705, 3458, 1501, 2369, 3111, 2165, 2812, + 3615, 395, 472, 1444, 5, 1136, 2930, 312, 611, 658, 236, 2121, 2769, 420, 1419, 3565, 230, 1655, 2425, 1682, 2106, 3559, 494, 1129, 2941, 291, 632, 3647, 1476, 2426, + 4029, 1726, 2713, 3464, 7, 2055, 2461, 668, 925, 1607, 466, 1245, 1429, 2143, 3100, 3637, 946, 1319, 1504, 2464, 3468, 3683, 1235, 3479, 3680, 1326, 1472, 3090, 869, 1420, + 3556, 229, 1956, 2127, 591, 679, 1959, 55, 870, 1115, 629, 3758, 3993, 1099, 2019, 2749, 2027, 2475, 3483, 939, 1515, 3760, 1316, 1965, 2147, 876, 1431, 3707, 879, 1100, + 2704, 585, 1966, 4021, 2016, 2751, 3470, 1522, 3753, 4031, 928, 2776, 3739, 423, 2033, 2482, 487, 1216, 2943, 288, 3073, 3609, 251, 1623, 2782, 429, 2087, 3578, 1291, 2168, + 3079, 1222, 1463, 3648, 23, 891, 3692, 698, 1325, 1978, 430, 510, 2010, 2814, 3600, 3724, 489, 1134, 1999, 607, 3645, 3723, 518, 705, 1924, 294, 1029, 1408, 1838, 2533, + 3239, 2408, 2491, 3097, 604, 1920, 2467, 1025, 1837, 3837, 711, 2432, 3135, 1414, 1831, 2516, 2506, 3157, 3246, 1493, 2417, 3125, 1163, 2813, 3950, 337, 1335, 2111, 1301, 2109, + 3224, 1198, 2429, 3945, 3049, 3191, 3241, 459, 1508, 2411 +] +private def clayworthNeighborData_chunk3 : Array (Fin 4032) := #[ + 599, 778, 3566, 1389, 2042, 3825, 1427, 2550, 3987, 722, 3133, 3339, 631, 805, 1179, 1292, 2023, 3816, 1193, 2431, 2476, 1316, 1803, 3218, 1390, 2518, 3993, 3088, 3340, 3547, + 494, 2418, 3952, 2098, 3070, 3262, 1052, 1437, 1850, 732, 1949, 2464, 1380, 2029, 3147, 781, 1495, 3531, 493, 541, 1970, 315, 1075, 3050, 300, 3056, 3159, 484, 516, 1483, + 341, 1303, 2030, 788, 1164, 2768, 743, 2777, 3374, 371, 1446, 4006, 701, 3376, 3916, 1003, 2097, 4008, 960, 1066, 3059, 506, 665, 1963, 534, 822, 2783, 266, 375, 1995, + 380, 2088, 4015, 2815, 3369, 3915, 992, 2091, 3068, 487, 703, 3931, 583, 693, 1952, 989, 1057, 3826, 1355, 2509, 3172, 1527, 3103, 3532, 581, 1200, 2488, 1291, 1828, 3839, + 566, 790, 1484, 293, 2020, 3148, 303, 325, 1467, 515, 762, 2805, 964, 1402, 3819, 578, 671, 3561, 1010, 1383, 4031, 656, 3355, 3568, 116, 200, 1988, 1472, 1793, 2661, + 1091, 1547, 1902, 696, 1420, 2498, 660, 1299, 1984, 1901, 2206, 2640, 121, 671, 2503, 1094, 1478, 1895, 1097, 1548, 3281, 1431, 2504, 4013, 904, 1791, 3048, 399, 1399, 1961, + 1365, 1577, 1966, 948, 1422, 1753, 1563, 3294, 3841, 1410, 2393, 4025, 515, 1289, 2895, 1623, 2190, 3948, 350, 1107, 1491, 98, 2514, 3636, 903, 1333, 2906, 1356, 2184, 3960, + 684, 920, 1435, 1380, 1582, 1867, 337, 1113, 1614, 538, 2520, 3614, 1416, 1747, 2431, 1584, 1959, 3898, 1501, 1914, 2644, 94, 656, 2013, 1602, 3300, 3963, 534, 2915, 3969, + 194, 2034, 2406, 1850, 2668, 3874, 1837, 3321, 3873, 199, 2387, 4002, 419, 1367, 3939, 898, 2929, 3057, 78, 3069, 3608, 372, 433, 1510, 1775, 3644, 3783, 382, 1267, 1944, + 1278, 2680, 3897, 2027, 2415, 3800, 216, 2923, 3051, 416, 1826, 3936, 344, 410, 1982, 1768, 3071, 3646, 1276, 1938, 3885, 1766, 2408, 3794, 1286, 2016, 3828, 1257, 2233, 2655, + 1141, 1608, 3285, 525, 2548, 4026, 677, 914, 1305, 1355, 1892, 2228, 210, 2912, 4001, 1849, 3309, 3904, 427, 1531, 1825, 72, 244, 3058, 1264, 1612, 2210, 521, 1283, 3784, + 380, 1258, 1627, 527, 3601, 3778, 769, 2052, 2271, 1348, 1536, 3602, 302, 1622, 2597, 443, 464, 2557, 419, 760, 2048, 301, 2631, 3630, 384, 775, 2546, 295, 1542, 2580, + 1006, 1613, 2570, 509, 2512, 3861, 1874, 3466, 3825, 183, 1976, 3235, 149, 1609, 3215, 501, 1880, 3802, 1001, 1626, 2813, 511, 2910, 3857, 713, 878, 3659, 1493, 2682, 3998, + 1299, 1555, 2614, 786, 2500, 2706, 719, 3684, 3823, 140 +] +private def clayworthNeighborData_chunk4 : Array (Fin 4032) := #[ + 2663, 4025, 428, 479, 3789, 164, 267, 1603, 1305, 1523, 2582, 859, 2550, 2712, 473, 1918, 2932, 1615, 2815, 3209, 314, 1565, 3623, 416, 796, 2077, 972, 1489, 4020, 843, + 3694, 3885, 2098, 2293, 2940, 1394, 2795, 3608, 1008, 1387, 2802, 2249, 2897, 3870, 151, 1964, 4002, 3493, 3693, 3816, 807, 2727, 3478, 1318, 1574, 1952, 1902, 2310, 2729, 1320, + 1855, 3231, 1842, 2801, 3646, 2091, 2308, 2942, 2275, 3476, 3706, 1344, 1979, 3982, 1327, 1955, 3256, 1895, 2734, 3469, 1853, 2792, 3253, 1897, 2333, 2904, 735, 2080, 2358, 1835, + 2652, 3625, 971, 1532, 2573, 844, 2516, 3876, 440, 739, 3786, 139, 292, 2642, 2255, 3687, 3897, 987, 1376, 3976, 1373, 1595, 1920, 826, 2296, 3510, 1527, 1841, 2625, 757, + 873, 2326, 1343, 1477, 1832, 880, 2307, 2750, 129, 2844, 3973, 256, 1873, 3526, 445, 1184, 2511, 1724, 3611, 3818, 2598, 2849, 3838, 438, 2101, 3545, 135, 1726, 3827, 262, + 434, 1187, 1101, 1152, 2522, 367, 1681, 3632, 822, 1558, 3021, 1218, 1941, 3494, 1224, 1956, 2499, 1549, 3030, 3618, 1114, 2509, 3407, 358, 2451, 3626, 689, 1425, 2623, 1776, + 2109, 3278, 275, 1208, 3671, 146, 1688, 3204, 1429, 1556, 2585, 1755, 1950, 2064, 1546, 3598, 3824, 400, 1965, 2505, 1196, 3306, 3660, 701, 1716, 3250, 2438, 3011, 3617, 1230, + 2518, 3418, 285, 388, 3539, 156, 2817, 3836, 1135, 1769, 3291, 383, 680, 1438, 2491, 2821, 3996, 1916, 3424, 3523, 1137, 1907, 3427, 339, 2470, 3975, 1740, 1937, 3515, 790, + 1444, 1590, 167, 797, 3254, 294, 3462, 3650, 3023, 3167, 3216, 1228, 3662, 3726, 3435, 3529, 3745, 2432, 2867, 3197, 771, 1453, 3991, 1739, 1911, 3456, 1239, 3475, 3656, 772, + 3034, 3220, 1243, 3441, 3746, 2461, 3017, 3152, 2607, 2858, 3199, 2073, 3573, 3754, 1098, 1211, 3312, 360, 703, 1694, 1573, 2579, 3817, 404, 1977, 2079, 345, 1465, 3970, 1128, + 1774, 1861, 315, 1877, 3485, 186, 774, 4023, 2111, 3298, 3760, 683, 2600, 3161, 3297, 3675, 3739, 690, 3189, 3261, 3, 3441, 3841, 273, 320, 2047, 1248, 1924, 2526, 2344, + 2711, 3387, 1427, 2354, 3442, 1923, 2034, 3006, 29, 2367, 3372, 326, 1251, 1949, 1216, 2548, 2619, 1307, 2700, 3328, 74, 1611, 3515, 1795, 3210, 3556, 1814, 2556, 3213, 1612, + 2696, 3456, 2520, 2598, 3922, 1292, 1713, 2715, 447, 477, 1448, 1011, 1915, 2986, 339, 919, 1272, 4, 3141, 3384, 452, 1455, 1621, 1900, 2992, 3220, 1623, 2353, 2690, 1974, + 2513, 3222, 908, 961, 1260, 427, 3164, 3363, 1690, 2702 +] +private def clayworthNeighborData_chunk5 : Array (Fin 4032) := #[ + 3488, 1805, 2558, 3943, 349, 1926, 2045, 6, 2365, 3435, 965, 1894, 2589, 445, 454, 1321, 1696, 3432, 3898, 316, 2024, 3966, 307, 2579, 3928, 1291, 1707, 3879, 1893, 3237, + 3531, 101, 502, 1636, 54, 86, 3191, 358, 898, 3575, 607, 3138, 3512, 910, 1807, 3290, 2033, 3299, 3945, 637, 1699, 3455, 84, 470, 3847, 311, 1866, 3532, 904, 1801, + 3541, 77, 3159, 3500, 1818, 3279, 3950, 592, 1679, 3491, 639, 1433, 3453, 2027, 3004, 3296, 988, 1275, 2560, 434, 1328, 3360, 1446, 1655, 2347, 1942, 2985, 3254, 451, 1326, + 3858, 261, 1903, 2566, 277, 379, 3543, 22, 118, 3868, 1002, 2995, 3307, 424, 601, 1471, 923, 993, 3313, 433, 629, 3143, 841, 1409, 2962, 384, 979, 3114, 2775, 3181, + 3742, 2084, 2157, 2563, 1987, 2145, 3002, 1019, 1657, 2780, 1415, 2170, 2582, 390, 2754, 3193, 2683, 3172, 3764, 528, 2093, 2569, 941, 2448, 3052, 1303, 1581, 3666, 1572, 3687, + 3772, 2065, 2463, 3045, 2662, 3411, 3736, 532, 2105, 3249, 1398, 2009, 3777, 1601, 1752, 2194, 403, 1943, 3166, 1242, 1426, 2573, 1348, 2003, 2469, 1658, 2215, 3676, 2069, 2169, + 2488, 2807, 3706, 3729, 1745, 1932, 3153, 1229, 2586, 3833, 2078, 3028, 3226, 1557, 3398, 3774, 413, 998, 2759, 1436, 2113, 2983, 1790, 2183, 2653, 562, 1364, 3834, 885, 2951, + 3232, 966, 3105, 3445, 2643, 3106, 3417, 566, 857, 3243, 1335, 2234, 3655, 953, 1394, 2452, 897, 1265, 1447, 422, 1287, 1922, 1263, 3039, 3355, 1566, 1934, 2304, 989, 2342, + 3401, 2972, 3235, 3362, 838, 930, 1405, 1285, 2177, 3099, 1282, 1593, 1928, 954, 1256, 3064, 1553, 2363, 3395, 3024, 3215, 3342, 1993, 2945, 3361, 960, 1634, 2323, 1788, 2624, + 3157, 573, 2575, 3821, 1990, 2146, 2476, 1645, 2757, 3649, 516, 851, 1360, 2204, 2630, 3086, 443, 1308, 3120, 835, 929, 1466, 1633, 1780, 2310, 2037, 3370, 3809, 1758, 1947, + 2333, 1226, 3376, 3810, 73, 1537, 3265, 512, 1792, 2497, 996, 2955, 3457, 620, 3211, 3451, 623, 3269, 3978, 249, 1796, 3474, 635, 1543, 3436, 518, 1005, 3484, 971, 1176, + 2980, 2253, 3246, 3392, 400, 1069, 2797, 151, 2043, 3731, 2028, 2967, 3737, 415, 2788, 3227, 1170, 1425, 2965, 1648, 2266, 3241, 1525, 2667, 4027, 193, 1096, 3017, 531, 1018, + 2071, 1554, 2112, 3448, 421, 1481, 4012, 250, 1140, 2031, 440, 613, 3212, 2021, 2956, 3514, 999, 2060, 3027, 2144, 2639, 3427, 1641, 2763, 3248, 1438, 2999, 3775, 541, 1821, + 3463, 614, 1564, 3292, 1102, 1193, 3061, 1503, 2243, 2673 +] +private def clayworthNeighborData_chunk6 : Array (Fin 4032) := #[ + 117, 1651, 3297, 1470, 1824, 2554, 1191, 1468, 2541, 89, 1642, 2255, 183, 1118, 2022, 404, 1081, 1487, 1025, 1575, 2141, 135, 550, 2050, 2162, 2750, 2791, 2062, 3547, 3759, + 1432, 1835, 3562, 1660, 2739, 3306, 70, 1058, 1507, 133, 1145, 2530, 130, 2056, 3750, 1082, 2116, 2810, 1460, 3568, 3752, 1662, 2748, 2798, 2730, 3315, 4015, 226, 1842, 3553, + 1006, 1214, 3033, 2262, 2650, 3424, 428, 586, 4005, 237, 1994, 3495, 83, 1528, 2249, 1122, 1198, 2553, 156, 571, 2529, 67, 1057, 1594, 225, 3011, 3554, 2656, 2736, 4006, + 2075, 3014, 3534, 2155, 2659, 2729, 132, 1601, 2746, 66, 2978, 3712, 295, 3121, 3521, 763, 3150, 3205, 128, 3202, 3892, 954, 3538, 3716, 748, 1607, 3228, 92, 3098, 3548, + 302, 2374, 3115, 704, 1396, 3144, 10, 331, 1488, 543, 1930, 2318, 280, 565, 2331, 47, 1533, 3193, 297, 2397, 3663, 1352, 2856, 3188, 1557, 3637, 3900, 907, 1112, 1741, + 69, 2544, 3087, 760, 1443, 1618, 44, 3593, 3857, 932, 1750, 2337, 38, 3170, 3255, 274, 2352, 3578, 1134, 2537, 3107, 739, 1464, 1587, 1522, 2879, 3166, 318, 537, 3674, + 71, 3527, 3741, 157, 1628, 3207, 1106, 1754, 2390, 1362, 1591, 3615, 178, 2727, 2859, 2977, 3680, 3744, 2372, 2945, 3683, 1346, 2734, 2865, 1731, 1957, 2338, 37, 356, 3599, + 359, 1423, 1639, 119, 1958, 2523, 1070, 1461, 1526, 573, 2507, 2762, 2778, 3691, 3755, 171, 1072, 2866, 365, 2724, 3619, 1737, 1964, 2989, 528, 1967, 2508, 366, 1417, 1492, + 575, 2765, 3697, 1065, 1476, 2877, 160, 1051, 3864, 935, 2801, 3762, 1127, 2371, 3104, 736, 1368, 1541, 59, 3223, 3870, 941, 2346, 3559, 1351, 2699, 3640, 1743, 2422, 3002, + 87, 1979, 3001, 378, 1658, 2733, 942, 1150, 2792, 1036, 1553, 3902, 1129, 2542, 2799, 1035, 1439, 1596, 324, 1286, 1665, 742, 1773, 2437, 485, 679, 3310, 1366, 3190, 3771, + 320, 1436, 3747, 1213, 2433, 3309, 1357, 1671, 3712, 468, 1758, 3303, 458, 686, 1237, 1398, 2868, 3158, 2635, 3024, 3901, 849, 2743, 3583, 664, 2709, 3581, 2670, 3069, 3165, + 681, 1233, 3423, 1099, 2824, 3139, 1431, 1802, 2331, 1201, 2807, 2925, 502, 1494, 1745, 977, 1354, 1682, 1463, 1829, 2651, 1192, 2700, 2757, 2665, 3140, 3756, 658, 2724, 3275, + 470, 1526, 2926, 981, 1381, 2306, 1134, 3058, 3142, 702, 3445, 3570, 1785, 2460, 3322, 349, 1692, 3744, 1221, 2773, 2916, 1805, 2318, 2834, 370, 1133, 1309, 763, 2483, 3453, + 748, 1276, 3408, 1124, 1284, 2818, 853, 2711, 2803, 1812 +] +private def clayworthNeighborData_chunk7 : Array (Fin 4032) := #[ + 2636, 3856, 1020, 1703, 3865, 883, 1475, 1749, 965, 1661, 3062, 1501, 2283, 3569, 2240, 2474, 3455, 363, 1146, 1625, 1302, 1846, 3871, 714, 887, 2812, 892, 1478, 3560, 1011, + 3028, 3903, 2272, 3417, 3563, 1127, 1663, 3012, 352, 1415, 1653, 1202, 2269, 2465, 461, 1271, 2891, 1364, 2312, 2840, 1413, 2672, 3768, 1215, 2699, 3300, 1334, 1814, 2823, 741, + 1267, 2769, 751, 837, 1764, 1283, 1722, 3893, 1195, 2244, 2938, 1410, 1631, 2316, 1476, 2290, 2919, 1015, 1616, 2327, 426, 755, 1350, 79, 664, 2944, 1707, 2386, 3816, 1625, + 2100, 3295, 444, 1500, 2082, 670, 936, 1727, 737, 1653, 2056, 1714, 2375, 2950, 2392, 3099, 3823, 1619, 2723, 3320, 11, 3393, 3877, 564, 776, 2807, 542, 2773, 3801, 46, + 3273, 3884, 2622, 3084, 3814, 1163, 2744, 3299, 1495, 1866, 3474, 915, 2455, 3020, 2370, 2963, 3968, 705, 1251, 1609, 27, 1527, 1893, 921, 2764, 3019, 41, 2078, 3317, 1713, + 2788, 3839, 2376, 2460, 4027, 1231, 1603, 3497, 1198, 3279, 3896, 569, 2601, 3795, 692, 1725, 2973, 435, 746, 2062, 2487, 3035, 3080, 1869, 2688, 3495, 432, 1197, 1373, 73, + 702, 2611, 67, 2620, 3095, 1188, 1348, 2732, 770, 2775, 3054, 12, 1876, 3450, 732, 1248, 3426, 792, 2982, 3997, 1027, 1265, 3856, 526, 2347, 3987, 700, 2304, 2602, 425, + 1039, 1210, 1366, 1910, 3437, 77, 775, 3049, 520, 820, 3974, 1259, 3425, 3860, 546, 2336, 2608, 1033, 1191, 3871, 446, 1050, 1479, 657, 943, 2333, 2420, 2437, 3086, 1606, + 2720, 3502, 48, 1477, 2105, 959, 1704, 2763, 1398, 1878, 2747, 86, 3056, 3074, 90, 786, 3003, 709, 1347, 3449, 934, 2308, 2434, 1037, 1474, 3480, 2354, 2439, 4006, 1046, + 1242, 3518, 134, 1729, 1921, 389, 806, 3008, 2346, 2896, 3374, 1000, 1497, 3007, 1564, 1925, 2982, 385, 3373, 3831, 1535, 1735, 2969, 2900, 3014, 3367, 2139, 2337, 2911, 1009, + 1525, 3093, 1155, 2798, 3965, 81, 895, 2871, 893, 2309, 2837, 1021, 1158, 2793, 1449, 2124, 2305, 1003, 1227, 3108, 266, 1559, 3540, 1687, 3514, 3787, 2917, 3027, 3884, 1533, + 1746, 1803, 293, 1206, 1591, 2828, 3495, 3788, 1023, 1181, 2984, 2355, 2852, 3339, 1678, 2924, 3877, 1488, 1804, 3576, 1010, 1262, 2800, 882, 1470, 2332, 412, 3037, 3386, 1756, + 1948, 2963, 1666, 2120, 3501, 269, 3095, 3557, 157, 1261, 1953, 435, 827, 1450, 812, 1456, 2135, 132, 1252, 3083, 85, 2839, 3502, 276, 1174, 3920, 1767, 1838, 3929, 115, + 3046, 3899, 253, 1840, 2764, 881, 2411, 3887, 426, 1459 +] +private def clayworthNeighborData_chunk8 : Array (Fin 4032) := #[ + 2368, 217, 1274, 1962, 150, 310, 3935, 119, 778, 3467, 124, 872, 3878, 1833, 2763, 3967, 875, 1468, 2400, 255, 1255, 2779, 245, 1543, 1971, 417, 2397, 3797, 1672, 2126, + 2936, 1503, 3127, 3564, 1156, 1541, 2991, 2827, 3364, 3799, 182, 278, 3084, 805, 2114, 3492, 69, 815, 3067, 131, 1786, 3957, 1676, 2372, 3812, 223, 1538, 3536, 1691, 2418, + 3850, 208, 1819, 3551, 8, 244, 2761, 2865, 3265, 3813, 2147, 2499, 2588, 450, 1656, 1731, 1620, 2707, 2774, 1892, 2583, 3792, 249, 455, 1631, 2502, 2567, 2863, 785, 2127, + 2505, 456, 1524, 1737, 136, 628, 3422, 361, 911, 2935, 366, 2155, 2901, 180, 584, 1747, 798, 2008, 2138, 1502, 1781, 3186, 1283, 2697, 3119, 1886, 3053, 3223, 862, 2515, + 2826, 226, 466, 1590, 135, 2741, 3112, 1913, 2892, 3066, 152, 1644, 1734, 2144, 2565, 2916, 849, 2521, 3214, 472, 1306, 1556, 590, 1753, 3140, 359, 2036, 2161, 2562, 2856, + 3796, 222, 1616, 2755, 804, 3065, 3202, 1302, 1486, 3082, 2, 2767, 3152, 2044, 3322, 3820, 825, 2046, 3309, 7, 1529, 3197, 931, 2903, 3009, 130, 3121, 3409, 206, 1540, + 3416, 884, 945, 2829, 633, 1159, 1597, 344, 894, 2395, 2001, 2410, 3832, 1176, 2778, 3156, 24, 3098, 3452, 928, 3041, 3298, 382, 856, 922, 606, 1586, 3444, 338, 2014, + 2416, 610, 1170, 3190, 1204, 2694, 2765, 1877, 2401, 3807, 789, 2549, 3208, 500, 1293, 1480, 146, 1637, 2713, 1901, 2615, 2891, 18, 1506, 3085, 813, 3042, 3321, 939, 2842, + 3297, 52, 200, 3454, 1873, 2402, 3212, 1160, 1289, 2691, 892, 2382, 3227, 1154, 1295, 1552, 308, 584, 3012, 1680, 2231, 2748, 1151, 2870, 3147, 1034, 2383, 2956, 1078, 2771, + 3030, 2193, 2826, 3678, 313, 1037, 2394, 1128, 2693, 2836, 1149, 2921, 3148, 2403, 2967, 4023, 1334, 2120, 2623, 394, 975, 2449, 421, 2453, 3177, 1302, 2164, 2958, 2926, 3163, + 3957, 2946, 3289, 3989, 1347, 2501, 2761, 1543, 3662, 3863, 782, 1137, 2743, 290, 2267, 2417, 2119, 2524, 2805, 2483, 3656, 3842, 1061, 2136, 2971, 2487, 2838, 3182, 776, 1131, + 1588, 1370, 2252, 2411, 1293, 2952, 3317, 404, 3184, 3929, 2197, 2739, 2853, 286, 1046, 3062, 1554, 2907, 3852, 1366, 2547, 4019, 578, 3037, 3325, 1725, 2181, 3907, 1727, 2891, + 3913, 583, 3327, 3985, 995, 2492, 3848, 2114, 2497, 2621, 270, 2254, 2609, 802, 1009, 2709, 917, 1317, 2242, 406, 798, 1462, 1411, 2227, 3910, 956, 3014, 3280, 600, 2529, + 2610, 992, 1717, 3854, 397, 825, 986, 1300, 2248, 2600 +] +private def clayworthNeighborData_chunk9 : Array (Fin 4032) := #[ + 438, 1430, 3923, 913, 1290, 3295, 947, 2758, 3011, 1414, 2236, 3705, 1138, 1560, 2928, 1357, 2400, 3973, 1044, 2130, 2777, 2437, 2829, 3700, 594, 2538, 4028, 1689, 2892, 3867, + 1003, 1695, 2705, 264, 628, 2603, 1437, 1538, 3682, 901, 1353, 2755, 820, 1412, 1544, 951, 1359, 2263, 372, 648, 3460, 2636, 3072, 3329, 587, 2563, 3438, 248, 2938, 3020, + 212, 2835, 3456, 926, 2626, 3437, 223, 377, 2919, 2566, 3078, 3431, 588, 2569, 3704, 2881, 3031, 3868, 767, 1448, 2184, 1039, 1682, 1946, 617, 1671, 1933, 729, 2228, 3022, + 603, 3679, 4026, 985, 3010, 3845, 131, 2545, 2825, 910, 1638, 2796, 94, 2579, 3091, 354, 2898, 3772, 2183, 2539, 2869, 904, 1716, 2808, 236, 2200, 3035, 622, 1666, 3403, + 81, 1663, 2585, 154, 2887, 3774, 723, 1023, 3016, 624, 1942, 4007, 2647, 3101, 3450, 208, 350, 3485, 1619, 2811, 3685, 150, 2522, 3873, 642, 998, 3506, 2651, 3386, 3996, + 3373, 3664, 3969, 647, 979, 3891, 1059, 1688, 2787, 1457, 2178, 2528, 334, 1469, 3763, 116, 1073, 3110, 751, 3760, 3829, 126, 499, 1929, 510, 2638, 3975, 1007, 3499, 3779, + 664, 1451, 2531, 1056, 2784, 3362, 88, 1050, 1935, 744, 1471, 3754, 508, 1923, 3986, 742, 1000, 3785, 2822, 3488, 3782, 489, 953, 2632, 1625, 2613, 3692, 141, 2908, 3841, + 229, 2194, 2841, 948, 1672, 3428, 658, 2511, 3882, 2752, 3385, 3668, 1067, 3131, 3361, 328, 692, 1458, 496, 930, 1647, 137, 2819, 3795, 124, 490, 1640, 143, 3753, 3801, + 1793, 3365, 3524, 1565, 2151, 2884, 750, 2211, 3222, 509, 955, 1104, 931, 1720, 3520, 749, 1568, 3783, 498, 896, 1799, 743, 2119, 2232, 2191, 2286, 3213, 464, 1149, 2029, + 1201, 2578, 3649, 376, 439, 675, 405, 655, 3209, 1141, 1178, 2599, 2281, 3226, 3901, 1151, 2020, 3117, 1673, 1966, 2960, 1489, 2868, 3834, 2140, 2207, 2707, 452, 530, 1810, + 1199, 1679, 2975, 396, 1502, 3815, 940, 1119, 1165, 420, 715, 3203, 2229, 2713, 2876, 502, 536, 1947, 1113, 2618, 3130, 649, 3215, 3903, 762, 1536, 2130, 928, 1820, 3549, + 1493, 2252, 2846, 1931, 2014, 2964, 3106, 3372, 3570, 1540, 2930, 3883, 2288, 2923, 3890, 2005, 3129, 3384, 364, 407, 1529, 1192, 3000, 3706, 551, 1831, 3682, 352, 2113, 2726, + 553, 2063, 2588, 671, 2728, 3327, 1586, 3314, 3889, 2080, 3105, 3563, 2988, 3344, 3693, 379, 1517, 2880, 355, 696, 2735, 558, 2567, 3681, 693, 3325, 3880, 2083, 2561, 3073, + 1695, 2091, 3552, 1579, 3307, 3804, 2185, 2251, 2833, 468 +] +private def clayworthNeighborData_chunk10 : Array (Fin 4032) := #[ + 1932, 2041, 952, 1162, 1699, 395, 740, 3794, 2001, 2981, 3359, 1508, 2267, 2912, 320, 2170, 2909, 1850, 3348, 3705, 2840, 3313, 3777, 1717, 1961, 2097, 2751, 2878, 3304, 574, + 1968, 2074, 557, 1857, 3593, 2274, 2463, 3136, 91, 867, 1542, 1019, 1168, 2373, 513, 724, 995, 66, 2214, 2270, 960, 1863, 2423, 78, 888, 3142, 847, 1539, 2350, 1213, + 2396, 3963, 915, 2832, 3533, 436, 503, 3810, 469, 1561, 3833, 902, 1205, 2877, 1545, 2345, 3393, 1215, 2512, 3904, 760, 2030, 3714, 2205, 2723, 4004, 863, 2771, 3155, 207, + 1874, 2391, 735, 949, 3719, 460, 2182, 3989, 899, 1004, 1183, 76, 484, 1555, 885, 2737, 2777, 227, 2011, 2370, 1177, 2516, 2866, 1589, 3425, 3806, 72, 2297, 3165, 570, + 992, 1884, 2316, 2703, 4013, 1995, 3720, 3923, 569, 2552, 3587, 2254, 2488, 3397, 2352, 2467, 3420, 2527, 3606, 3933, 414, 471, 3985, 921, 3530, 3730, 218, 1895, 3569, 446, + 2790, 3174, 235, 1928, 2870, 1665, 2792, 3784, 1709, 2248, 3443, 546, 1927, 2540, 3567, 3610, 3736, 401, 2441, 3998, 408, 2799, 3790, 241, 2836, 3546, 1722, 3434, 3828, 1922, + 2533, 2820, 545, 741, 1938, 1721, 2235, 2292, 841, 2315, 2714, 1996, 2375, 3942, 720, 905, 1016, 87, 459, 2195, 3597, 3764, 3910, 2331, 2447, 4025, 444, 2485, 3195, 1914, + 3560, 3599, 1698, 2176, 2720, 748, 1944, 2025, 1697, 2731, 2815, 224, 1972, 2032, 385, 1520, 3996, 704, 2367, 2596, 463, 957, 2656, 316, 1194, 1562, 1214, 2225, 4001, 950, + 2351, 3573, 318, 391, 1203, 710, 946, 2659, 474, 2509, 2624, 273, 879, 1585, 1846, 2120, 3428, 341, 2389, 3655, 356, 451, 2385, 1546, 2126, 3403, 461, 2522, 3957, 870, + 1576, 3731, 1649, 1777, 2186, 592, 782, 3581, 723, 2680, 3007, 280, 402, 644, 1754, 2142, 2223, 350, 596, 3536, 1200, 1549, 2146, 365, 457, 912, 810, 2668, 3005, 308, + 690, 1661, 1583, 3404, 3718, 470, 2398, 3913, 733, 900, 2344, 412, 1212, 3969, 607, 795, 2543, 895, 1640, 1768, 1499, 3771, 3973, 2329, 2605, 3960, 2545, 2617, 3935, 851, + 1484, 3750, 337, 613, 3666, 1741, 1814, 2164, 423, 694, 1821, 742, 2984, 3656, 656, 1226, 3447, 1038, 2413, 2987, 1057, 2323, 3939, 1260, 3712, 4019, 1518, 1738, 1795, 620, + 2577, 3672, 2404, 2993, 3650, 660, 1796, 3413, 1058, 2425, 3919, 1253, 3415, 3741, 1275, 2202, 4010, 1066, 2342, 3545, 816, 2506, 2683, 286, 872, 1663, 1193, 2169, 2216, 377, + 916, 3551, 857, 1483, 1775, 632, 2536, 2590, 763, 2581 +] +private def clayworthNeighborData_chunk11 : Array (Fin 4032) := #[ + 3700, 442, 1513, 1798, 802, 1072, 3583, 1254, 1643, 2189, 801, 1051, 2994, 701, 1263, 1650, 355, 449, 4016, 117, 2865, 3478, 32, 1021, 2425, 935, 1853, 2302, 346, 881, + 958, 574, 1014, 3465, 455, 942, 1842, 35, 120, 1010, 0, 1141, 2398, 788, 1808, 2264, 1910, 2591, 3158, 419, 1464, 3574, 440, 1443, 2382, 2286, 2616, 3149, 1119, 1785, + 2420, 805, 2066, 2258, 842, 1049, 2961, 542, 1297, 2925, 56, 99, 3767, 466, 1796, 3781, 879, 2965, 3156, 393, 529, 1310, 914, 2281, 3146, 415, 976, 2402, 44, 2897, + 3735, 1027, 1846, 3804, 2055, 2279, 2604, 1440, 1773, 2376, 95, 964, 3459, 335, 476, 937, 1103, 1301, 2937, 799, 1077, 2974, 352, 2100, 4010, 1761, 2859, 3469, 1144, 1762, + 2848, 812, 2072, 4001, 399, 1337, 3540, 1878, 2980, 3190, 487, 1885, 3831, 79, 3570, 3733, 2580, 3115, 3778, 1467, 2633, 3723, 1729, 2655, 3482, 363, 2056, 3112, 1859, 2989, + 3982, 1325, 2831, 3536, 1452, 3524, 3748, 1860, 2576, 3799, 1408, 1786, 2677, 2050, 2597, 3121, 369, 858, 3135, 536, 2680, 3471, 59, 1097, 2910, 784, 1033, 1812, 872, 920, + 3173, 437, 572, 980, 824, 3001, 4002, 1123, 1316, 2851, 73, 2842, 3581, 506, 1862, 3995, 564, 2659, 2916, 845, 1043, 3133, 2639, 2901, 3724, 1030, 3122, 3783, 513, 1308, + 3854, 768, 3409, 3548, 1085, 1212, 2912, 1352, 3769, 3813, 1126, 1313, 3798, 885, 1078, 3571, 519, 1346, 3796, 774, 1074, 1169, 1214, 2573, 2915, 111, 1358, 3746, 310, 598, + 1421, 450, 1964, 2022, 456, 1957, 2939, 589, 1430, 3764, 1871, 2586, 2936, 102, 2960, 3726, 241, 1151, 3025, 752, 893, 3711, 787, 1182, 3302, 530, 1367, 2329, 596, 1113, + 3029, 731, 848, 1951, 586, 3742, 3786, 1040, 1940, 2880, 1204, 3311, 3691, 253, 1356, 2323, 1411, 2975, 3720, 462, 1882, 2924, 797, 1028, 3525, 540, 1281, 3830, 745, 2607, + 3688, 127, 232, 3038, 1285, 3007, 3874, 1888, 3452, 3521, 1891, 2609, 3443, 83, 3005, 3897, 716, 1976, 2043, 278, 630, 3044, 285, 551, 2357, 806, 1990, 3283, 1423, 2155, + 2307, 460, 3327, 3626, 1899, 3553, 3625, 1331, 2152, 2969, 259, 3053, 3892, 715, 1984, 3447, 471, 2003, 3289, 260, 1434, 2313, 475, 1905, 3632, 1417, 2161, 2997, 1135, 1322, + 2175, 857, 3562, 3646, 1176, 2570, 3697, 104, 255, 1371, 613, 1107, 3789, 863, 1044, 1936, 89, 3065, 3870, 750, 2600, 3397, 827, 2013, 3413, 262, 570, 3848, 895, 3644, + 3709, 235, 1128, 2173, 3304, 3635, 3698, 242, 2162, 2310 +] +private def clayworthNeighborData_chunk12 : Array (Fin 4032) := #[ + 67, 2008, 3919, 721, 832, 2784, 324, 478, 2377, 535, 985, 2067, 1745, 2048, 3936, 323, 2767, 3480, 93, 1013, 2054, 349, 838, 2421, 500, 2219, 2371, 524, 979, 2715, + 202, 3211, 3666, 650, 2338, 3267, 508, 653, 3286, 520, 3212, 3672, 472, 2225, 3061, 305, 539, 2700, 959, 1117, 1733, 2291, 2563, 3458, 151, 851, 2393, 68, 969, 1246, + 1092, 1783, 3221, 660, 2582, 3463, 514, 2086, 3223, 374, 465, 662, 140, 2241, 2387, 939, 963, 1268, 282, 526, 3710, 510, 3039, 3277, 326, 861, 2787, 70, 2077, 3939, + 2237, 2245, 2566, 957, 1094, 2729, 288, 2036, 3930, 764, 2795, 3071, 755, 2216, 3033, 299, 1992, 2699, 677, 2318, 2614, 229, 1142, 3236, 118, 214, 1233, 130, 870, 2334, + 1278, 1439, 3694, 142, 794, 3279, 803, 2801, 3069, 291, 1469, 3953, 212, 1110, 1991, 759, 2312, 2564, 136, 2361, 3273, 205, 1276, 3687, 783, 3024, 3290, 271, 1424, 3689, + 1471, 1788, 3947, 800, 2778, 3508, 2226, 2268, 2374, 946, 966, 2736, 1749, 2107, 3255, 342, 694, 3474, 1091, 1986, 2734, 709, 2239, 2589, 725, 891, 2356, 86, 246, 2002, + 811, 2282, 3464, 936, 1433, 1779, 155, 817, 2273, 945, 1240, 1461, 1772, 1929, 3497, 896, 1385, 2259, 1054, 1239, 3863, 2201, 3556, 3629, 2771, 3467, 3617, 2299, 3257, 3868, + 1759, 2229, 3642, 902, 1228, 3842, 1076, 1271, 3835, 1296, 2195, 3565, 173, 3393, 3728, 2156, 2711, 2954, 1084, 2168, 2981, 3450, 3537, 3743, 1048, 3814, 3951, 689, 1300, 3577, + 1153, 2752, 2934, 585, 1857, 3201, 343, 915, 1227, 1744, 2185, 2424, 2781, 2884, 3749, 1884, 2982, 3258, 3541, 3641, 3768, 1041, 2988, 3895, 332, 595, 1252, 1209, 2179, 2412, + 666, 3431, 3550, 1086, 2143, 3942, 925, 2278, 3847, 1784, 3502, 3585, 629, 1889, 3805, 1210, 1330, 2900, 672, 1973, 3504, 1406, 2246, 3967, 1404, 3795, 3944, 683, 1334, 1945, + 1861, 2743, 2991, 185, 2930, 3732, 129, 1748, 2403, 322, 934, 2695, 1015, 2368, 3399, 334, 2104, 2132, 2101, 2269, 3929, 675, 962, 3483, 162, 1926, 2941, 1386, 1907, 2693, + 328, 2149, 2690, 186, 2400, 3420, 2079, 2128, 3923, 655, 983, 3410, 967, 2790, 3468, 2057, 2240, 3234, 601, 1237, 3776, 1197, 1341, 2182, 2758, 3618, 3756, 3003, 3245, 3845, + 1284, 1939, 2896, 1395, 1898, 3782, 955, 1392, 2716, 161, 1765, 1923, 579, 2063, 3233, 988, 1185, 2811, 347, 582, 2083, 965, 1186, 2427, 2057, 2465, 3009, 1024, 1514, 2387, + 2146, 3598, 3927, 868, 1091, 3137, 2446, 3193, 3459, 1616 +] +private def clayworthNeighborData_chunk13 : Array (Fin 4032) := #[ + 2427, 3932, 1110, 3015, 3169, 1030, 2145, 3906, 2126, 2672, 3618, 144, 877, 1097, 1452, 2221, 2957, 621, 2839, 3267, 612, 3286, 3636, 849, 1445, 2954, 1875, 2665, 3641, 148, + 889, 2363, 1683, 3481, 3832, 728, 914, 1604, 1043, 1958, 2154, 474, 1101, 3026, 1702, 2993, 3475, 935, 1654, 3293, 853, 2991, 3194, 3318, 3592, 3959, 721, 1967, 2160, 461, + 1114, 3776, 862, 1428, 2348, 597, 1862, 3614, 1053, 2406, 3911, 2466, 3036, 3170, 766, 903, 2675, 178, 1670, 3811, 2101, 2351, 2474, 1505, 1909, 2374, 1506, 1881, 2686, 182, + 2073, 2342, 954, 2871, 3270, 1723, 2233, 2970, 497, 2177, 3047, 1062, 1939, 2823, 495, 1439, 1819, 606, 1983, 3240, 1865, 2397, 3243, 1826, 2314, 2480, 1664, 2054, 2210, 897, + 1499, 2821, 633, 1945, 2818, 488, 1464, 2234, 593, 1859, 3249, 1424, 1806, 2341, 1825, 2459, 3465, 1661, 2368, 3250, 764, 2139, 2666, 189, 1103, 3808, 2984, 3181, 3462, 1620, + 3268, 3909, 132, 1693, 2067, 924, 1486, 2684, 1083, 1520, 2844, 2051, 2209, 3066, 756, 1650, 3261, 1834, 3509, 3820, 734, 1960, 3263, 458, 1840, 3835, 201, 769, 2150, 449, + 1280, 3264, 2276, 3514, 3673, 651, 1452, 3941, 773, 1455, 1491, 57, 3268, 3651, 1467, 2118, 3924, 1286, 2285, 3701, 2251, 2648, 3501, 686, 3337, 3948, 912, 2477, 3885, 407, + 1043, 2806, 1049, 2772, 3489, 667, 927, 3876, 1777, 2642, 3513, 681, 3248, 3381, 1481, 2860, 3819, 1, 2504, 3415, 1299, 2298, 3543, 2141, 3584, 3920, 933, 1525, 2875, 58, + 2548, 2802, 652, 952, 1445, 2768, 3457, 3667, 2279, 3406, 3532, 3616, 3791, 3935, 688, 3241, 3851, 1087, 1768, 3490, 1309, 3293, 3657, 796, 1446, 2131, 2510, 2665, 3394, 2872, + 3363, 3825, 245, 801, 3251, 506, 1778, 3296, 493, 1771, 2663, 217, 3242, 3359, 439, 2526, 2756, 916, 2489, 2816, 2112, 2433, 3613, 391, 1318, 3522, 574, 3634, 3879, 1071, + 2306, 3534, 1789, 2359, 3307, 563, 810, 3260, 198, 2466, 2848, 389, 482, 2553, 386, 1062, 3528, 2490, 3588, 3898, 1064, 1791, 2327, 572, 3262, 3886, 554, 819, 1478, 34, + 2309, 3314, 2286, 2686, 3400, 3343, 3802, 3960, 940, 1418, 1497, 45, 2813, 3654, 211, 2851, 3384, 505, 2530, 2670, 412, 481, 1339, 195, 2171, 2465, 33, 2332, 3404, 560, + 1475, 3808, 2311, 3419, 3547, 553, 3627, 3811, 265, 2935, 3137, 1344, 1681, 2378, 2340, 3358, 3537, 1516, 1776, 3786, 1519, 2931, 3971, 633, 1700, 3525, 1531, 1755, 3143, 1350, + 2349, 3580, 24, 2315, 3380, 1770, 3621, 3823, 685, 976 +] +private def clayworthNeighborData_chunk14 : Array (Fin 4032) := #[ + 3402, 471, 2629, 3021, 2652, 3034, 3388, 991, 3439, 3820, 18, 2961, 3352, 1550, 3594, 3814, 2210, 2690, 3972, 577, 1148, 2597, 522, 1363, 2362, 1742, 3154, 3234, 997, 2695, + 4022, 634, 1139, 3055, 1016, 1509, 3813, 3057, 3345, 3541, 525, 2343, 2598, 1762, 2224, 3214, 1563, 3432, 3835, 2625, 2974, 3390, 1373, 1685, 3571, 1510, 2885, 3164, 41, 1105, + 2570, 2190, 2696, 3638, 309, 1569, 2901, 1694, 2415, 3006, 39, 2406, 3004, 281, 1570, 3597, 503, 1093, 3018, 676, 980, 2706, 670, 3175, 3257, 455, 559, 1382, 224, 3252, + 3418, 561, 2666, 3497, 1721, 2968, 3516, 221, 1578, 2897, 262, 661, 2712, 453, 1143, 2412, 450, 552, 2675, 697, 3230, 3405, 2657, 2996, 3518, 192, 1584, 3441, 196, 2940, + 3974, 610, 1709, 3507, 62, 2350, 2607, 1761, 2203, 3604, 1004, 1482, 3990, 621, 3048, 3575, 275, 2740, 3606, 46, 1109, 2427, 476, 1403, 2405, 259, 657, 3194, 609, 2604, + 3498, 242, 2209, 3997, 538, 2619, 3504, 235, 2218, 3208, 388, 570, 3201, 194, 1024, 3511, 743, 1393, 2355, 645, 1264, 1723, 384, 642, 2039, 186, 1028, 2345, 668, 1708, + 3207, 220, 1387, 2364, 750, 1384, 3199, 1257, 1664, 2932, 74, 843, 2847, 330, 1311, 2059, 728, 1333, 2094, 111, 1228, 2832, 745, 2986, 3161, 1262, 2888, 4008, 1591, 1995, + 2143, 139, 612, 2520, 197, 496, 1394, 1720, 1767, 3218, 108, 1559, 2020, 164, 587, 2093, 102, 695, 1243, 722, 2087, 2346, 489, 1405, 2542, 1699, 1774, 2175, 1227, 2877, + 4031, 766, 1305, 2995, 199, 1053, 2366, 413, 647, 3228, 597, 2514, 3183, 1557, 2165, 2898, 434, 551, 4011, 1056, 2945, 3479, 2977, 3155, 3468, 558, 2882, 4017, 357, 588, + 2084, 101, 868, 1548, 871, 1746, 3239, 247, 358, 475, 1790, 2478, 2841, 459, 1341, 3850, 1067, 2972, 3866, 427, 2480, 4018, 548, 877, 1547, 364, 599, 3492, 367, 460, + 1296, 878, 1752, 2869, 1343, 2949, 3853, 2473, 2879, 4029, 416, 2007, 2459, 167, 1074, 3889, 1407, 2535, 3176, 1696, 2137, 2904, 123, 663, 2005, 173, 2106, 2352, 523, 1572, + 2887, 631, 3174, 3467, 215, 379, 3477, 557, 890, 3258, 174, 2558, 3880, 1996, 2128, 2444, 494, 2537, 3887, 1769, 2173, 2443, 205, 452, 1581, 258, 2641, 3351, 78, 1656, + 3461, 708, 3100, 3780, 448, 3792, 3908, 2170, 2660, 3458, 758, 1575, 3826, 284, 1644, 3511, 91, 1635, 3304, 754, 2478, 3077, 138, 823, 2702, 429, 1375, 1936, 97, 1397, + 1981, 175, 2715, 3105, 112, 3313, 3722, 382, 2473, 3123 +] +private def clayworthNeighborData_chunk15 : Array (Fin 4032) := #[ + 2266, 3157, 3936, 1130, 1336, 2123, 261, 1659, 2384, 724, 1582, 2979, 172, 2289, 3904, 1315, 1974, 2148, 166, 3073, 3830, 98, 1970, 3484, 1102, 1600, 2429, 720, 3000, 3187, + 380, 2736, 3114, 106, 1369, 3725, 263, 2645, 3479, 477, 1594, 3837, 1136, 1311, 3274, 2253, 2450, 3191, 218, 368, 498, 2654, 3340, 3752, 3290, 3355, 3759, 241, 361, 2494, + 441, 1295, 1940, 165, 791, 2280, 804, 1547, 2959, 311, 405, 2399, 673, 2721, 2997, 1405, 2393, 3433, 2681, 3452, 3761, 362, 491, 691, 239, 780, 2287, 414, 1289, 3336, + 420, 1360, 2421, 789, 2722, 2953, 1407, 3454, 3738, 371, 682, 2730, 480, 645, 3954, 2151, 2669, 3443, 1115, 1632, 3311, 765, 2471, 3141, 187, 3796, 3933, 1924, 2157, 3463, + 232, 2250, 2456, 1333, 3277, 3342, 279, 401, 3330, 202, 779, 1572, 1121, 2158, 3434, 668, 3153, 3947, 1122, 2431, 3440, 641, 2975, 3196, 516, 1604, 2302, 322, 2455, 3631, + 807, 1521, 3523, 1787, 2140, 2328, 512, 2321, 3991, 2234, 3524, 3603, 1606, 1772, 2366, 348, 1498, 3526, 814, 966, 1515, 1715, 1728, 2117, 36, 75, 3088, 159, 1931, 3236, + 181, 792, 3245, 21, 2145, 3133, 809, 989, 3326, 1320, 1724, 2163, 597, 3773, 3982, 717, 2187, 2584, 325, 1487, 2894, 1603, 1784, 3043, 12, 3728, 3976, 726, 2212, 3246, + 55, 2113, 2356, 786, 3258, 3542, 1507, 2606, 2888, 627, 1763, 3064, 1343, 2154, 3122, 153, 830, 3305, 327, 3549, 3622, 541, 1629, 2364, 730, 982, 2578, 631, 1712, 3775, + 562, 1323, 2300, 2444, 3315, 3624, 964, 2459, 3324, 1329, 1726, 2291, 707, 1956, 3211, 11, 100, 3743, 103, 1622, 3023, 375, 1943, 2914, 430, 3061, 3126, 189, 2910, 3914, + 3306, 3647, 3930, 432, 555, 1330, 109, 2288, 3765, 713, 1941, 2440, 144, 1932, 2937, 110, 3017, 3092, 191, 3312, 3917, 425, 1341, 3076, 411, 544, 3980, 2215, 3609, 3953, + 963, 1504, 2599, 581, 1706, 1760, 23, 2334, 3970, 2221, 3239, 3574, 1705, 2282, 3737, 719, 1014, 2446, 343, 1975, 2434, 122, 1654, 2281, 2222, 2622, 3944, 396, 593, 3995, + 2601, 2932, 3951, 395, 636, 3039, 787, 1830, 2758, 733, 1319, 2070, 1081, 1189, 2888, 2493, 2684, 3085, 815, 2676, 2972, 61, 2057, 2892, 1798, 2482, 2641, 1172, 1287, 2882, + 1054, 1162, 1418, 340, 2448, 3094, 2198, 2586, 3937, 211, 2001, 3509, 230, 1038, 3487, 2179, 2609, 3109, 1076, 1421, 1736, 357, 1096, 3126, 1712, 1981, 2967, 49, 2559, 3411, + 1206, 1308, 2689, 1821, 2321, 2436, 1705, 2202, 2999, 40 +] +private def clayworthNeighborData_chunk16 : Array (Fin 4032) := #[ + 255, 3398, 2185, 2686, 3082, 239, 1058, 2894, 1174, 2534, 2721, 1973, 2325, 2486, 1102, 2603, 3092, 1032, 1780, 3472, 1298, 2051, 2903, 806, 1811, 2654, 1428, 2521, 3430, 351, + 1691, 1936, 793, 1111, 2781, 708, 1735, 2061, 758, 1430, 1730, 364, 1090, 2756, 217, 2005, 3421, 1710, 2189, 3905, 1792, 2364, 3955, 1281, 2035, 2716, 1579, 2309, 2595, 2739, + 3519, 3624, 1746, 2074, 3627, 831, 1100, 1576, 1675, 2774, 3932, 707, 2039, 3392, 2044, 2693, 3481, 2355, 2575, 3946, 1752, 3517, 3633, 1115, 1585, 2592, 808, 1599, 2951, 50, + 2063, 3634, 1165, 1445, 2515, 336, 1951, 2452, 2191, 2648, 2949, 63, 232, 2907, 376, 1676, 2806, 726, 1462, 3451, 710, 1338, 1989, 1851, 2755, 3909, 43, 2536, 3645, 1597, + 1983, 2946, 2543, 2730, 3647, 1586, 1945, 2359, 68, 1404, 2822, 749, 1766, 2952, 231, 1253, 3661, 1689, 2125, 3594, 64, 3036, 3633, 1185, 2968, 3668, 1365, 1717, 3631, 734, + 1236, 3670, 238, 469, 1226, 1332, 1683, 2134, 1424, 2634, 3983, 2065, 2254, 3580, 216, 2267, 3582, 1469, 2149, 2671, 233, 465, 1887, 1288, 2166, 2571, 3031, 3245, 3338, 1157, + 2519, 3959, 721, 1270, 3094, 1399, 1673, 2385, 2668, 3063, 3365, 1180, 2273, 3909, 2122, 2662, 3597, 210, 2288, 3658, 1238, 2524, 3126, 1667, 2389, 3217, 1458, 2132, 2606, 254, + 1909, 3544, 761, 2996, 3702, 93, 1361, 3624, 453, 2551, 3925, 1298, 3236, 3341, 114, 2605, 2845, 1787, 1917, 2946, 508, 1772, 1872, 1282, 2596, 2820, 2069, 2274, 3955, 2661, + 3348, 3977, 1349, 2428, 3981, 725, 2099, 3075, 1462, 1634, 2373, 2698, 3101, 3550, 1919, 2714, 2951, 107, 1608, 2618, 2838, 3382, 3971, 1738, 2103, 3964, 2108, 3078, 3537, 1428, + 2419, 3994, 1881, 2701, 3572, 1412, 1614, 2599, 96, 1652, 3015, 1194, 2737, 2962, 503, 1229, 2501, 1304, 1670, 3221, 2683, 3013, 3610, 1153, 2282, 3685, 1287, 2870, 3350, 499, + 1765, 3921, 740, 1775, 2053, 1395, 2819, 3990, 1203, 2498, 2728, 1630, 3010, 3257, 2503, 2735, 3076, 1657, 2423, 3230, 938, 1715, 2886, 207, 1624, 3469, 299, 1192, 3196, 799, + 3225, 3572, 956, 2857, 3554, 168, 319, 1630, 1697, 3253, 3528, 306, 3198, 3505, 1199, 1386, 3187, 547, 824, 3219, 75, 2040, 3949, 1332, 1800, 3895, 1177, 1310, 3861, 110, + 777, 2015, 1190, 1377, 2187, 568, 803, 2635, 2564, 2834, 3651, 147, 3429, 3735, 1487, 3177, 3496, 1665, 2421, 3209, 91, 2614, 2840, 153, 3436, 3852, 105, 821, 3550, 305, + 1215, 3876, 1481, 3184, 3740, 2399, 3203, 3652, 783, 2000 +] +private def clayworthNeighborData_chunk17 : Array (Fin 4032) := #[ + 2670, 1171, 1337, 2188, 317, 1652, 3482, 947, 1706, 3534, 1349, 3412, 3767, 512, 2610, 3654, 944, 2669, 2909, 201, 1662, 2197, 195, 1345, 2212, 556, 2660, 2884, 1794, 3448, + 3863, 76, 2580, 3940, 1692, 2377, 3934, 1498, 1816, 3503, 2021, 2403, 2435, 1294, 1494, 2107, 1660, 2104, 2231, 937, 2447, 2682, 2576, 2902, 3925, 205, 1799, 3423, 1288, 1485, + 1844, 2028, 2383, 3961, 1314, 2092, 2199, 2004, 2441, 2663, 958, 2458, 2862, 175, 1617, 2083, 1395, 3178, 3717, 544, 3206, 3677, 112, 2878, 3577, 191, 296, 3851, 571, 2621, + 2934, 214, 1372, 3408, 218, 1810, 3466, 1669, 2883, 3921, 166, 2080, 3714, 2445, 2855, 3670, 1475, 2048, 3719, 2424, 2454, 3702, 745, 1002, 2457, 271, 1038, 3354, 921, 1833, + 3326, 575, 1576, 2927, 555, 1020, 2738, 1036, 1843, 2152, 552, 764, 1599, 1854, 3305, 3371, 949, 1645, 3288, 213, 1583, 2890, 139, 1771, 3943, 1396, 1864, 3411, 957, 1374, + 3430, 174, 2939, 3922, 843, 927, 1636, 11, 228, 2917, 2688, 2839, 3525, 2052, 2131, 2590, 3310, 3360, 4018, 755, 1450, 1561, 155, 2720, 2828, 2137, 2612, 3455, 169, 573, + 2918, 959, 1840, 3439, 2051, 3303, 3972, 1441, 1555, 3522, 46, 2924, 3911, 844, 912, 1401, 1051, 1852, 3377, 561, 766, 1011, 1639, 2102, 2577, 215, 2818, 3575, 45, 1008, + 2485, 265, 853, 1032, 259, 868, 1611, 36, 203, 2463, 1858, 2584, 3417, 140, 1777, 2843, 746, 1459, 1763, 1880, 3363, 4011, 643, 1436, 3905, 1358, 1925, 3968, 887, 1026, + 1943, 58, 694, 1001, 1754, 2493, 2830, 269, 1863, 2622, 1352, 1908, 4000, 1413, 1760, 3962, 855, 1378, 1975, 39, 662, 3932, 644, 1022, 2692, 1047, 1922, 2159, 1658, 2070, + 3282, 247, 1574, 3543, 176, 562, 2731, 1834, 2175, 3432, 204, 2448, 2824, 278, 1646, 2620, 282, 1874, 3343, 752, 1743, 2495, 1927, 2077, 2150, 669, 2717, 3548, 1948, 2054, + 3997, 646, 1409, 3527, 1066, 1704, 1779, 216, 335, 2458, 978, 1369, 3788, 884, 1608, 3678, 866, 1084, 3100, 222, 1347, 2216, 840, 1652, 1761, 967, 1397, 2475, 984, 1499, + 3803, 1602, 2278, 3665, 37, 1857, 3993, 180, 264, 3959, 158, 3778, 3925, 20, 3672, 3987, 1150, 1484, 3790, 1155, 2287, 3708, 2002, 3095, 3402, 1420, 2195, 2978, 962, 2464, + 3872, 483, 1624, 1729, 56, 3127, 3429, 1419, 2201, 3916, 16, 862, 3700, 1363, 3799, 3940, 968, 2996, 3840, 463, 1618, 2025, 1158, 3710, 3974, 185, 1129, 3784, 244, 1353, + 2481, 846, 1075, 1770, 1435, 1480, 2958, 2023, 2265, 3405 +] +private def clayworthNeighborData_chunk18 : Array (Fin 4032) := #[ + 1072, 1205, 1711, 254, 329, 1139, 323, 1148, 1495, 1161, 1702, 2280, 258, 1454, 3927, 44, 1914, 3412, 480, 1756, 1890, 280, 2467, 3875, 387, 497, 3977, 142, 3238, 3884, + 252, 1130, 3240, 399, 1065, 1177, 1689, 1901, 3446, 263, 333, 1449, 136, 308, 3896, 491, 1889, 4021, 162, 1136, 3247, 393, 1171, 3971, 410, 1086, 3079, 209, 2223, 3263, + 1012, 1486, 2952, 1607, 2030, 2259, 31, 889, 3077, 1350, 2239, 3915, 1683, 2303, 3414, 342, 1456, 1474, 274, 346, 2447, 1727, 1733, 1913, 2214, 3001, 3225, 397, 2008, 3074, + 2974, 3219, 3899, 406, 474, 2046, 321, 390, 619, 901, 1830, 3434, 1020, 2106, 3128, 2280, 2853, 3481, 325, 2131, 3503, 897, 1012, 1207, 602, 2836, 3519, 1022, 3103, 3419, + 2093, 3116, 3611, 1389, 2289, 2860, 2627, 3049, 3886, 209, 1983, 4023, 1981, 2081, 3989, 2301, 2630, 3881, 1732, 2105, 3596, 1401, 2283, 2426, 714, 2121, 2360, 279, 1163, 3667, + 2015, 3088, 3406, 591, 2832, 3275, 741, 2165, 2678, 1164, 3654, 3980, 2303, 2653, 3475, 977, 2049, 4004, 270, 2040, 3092, 2304, 2847, 3276, 2290, 2369, 3888, 1778, 1970, 2082, + 924, 984, 3440, 348, 625, 3496, 258, 3592, 3686, 717, 1345, 2339, 353, 413, 2386, 947, 1728, 1851, 1757, 1836, 3607, 388, 1378, 2407, 213, 3677, 3991, 724, 2646, 3054, + 611, 3032, 3310, 243, 2037, 3426, 61, 3312, 3852, 1969, 1999, 3139, 938, 1760, 3189, 25, 362, 2375, 406, 758, 3047, 247, 1802, 3648, 252, 1960, 1993, 3070, 3305, 3851, + 1771, 1963, 3145, 63, 2396, 3867, 53, 371, 2118, 929, 1173, 3161, 264, 3109, 3598, 1402, 2336, 2872, 2137, 2628, 3494, 990, 1175, 3979, 438, 726, 1377, 1829, 3586, 3707, + 197, 1839, 3425, 387, 608, 3026, 268, 1188, 3155, 31, 2115, 2348, 283, 2019, 3142, 16, 2363, 3291, 52, 72, 3849, 769, 1189, 4017, 451, 2236, 3619, 588, 1090, 3256, + 531, 3220, 3862, 1168, 2228, 2615, 57, 1095, 3231, 454, 2238, 4015, 457, 1809, 3599, 599, 1096, 2861, 392, 1460, 3964, 143, 873, 3124, 878, 3102, 3627, 436, 590, 1416, + 1822, 2753, 3610, 578, 1272, 2873, 521, 1359, 2691, 663, 2571, 3392, 467, 1950, 3978, 34, 1106, 2164, 391, 565, 1370, 2572, 3134, 3424, 408, 603, 3244, 2193, 3089, 3616, + 473, 654, 1937, 1112, 2142, 2714, 584, 1247, 1422, 871, 2810, 3633, 1172, 2200, 4008, 30, 3216, 3843, 642, 1828, 3421, 1379, 2710, 2817, 66, 1253, 3855, 826, 1196, 2786, + 813, 1849, 2785, 71, 1260, 2850, 163, 3096, 3435, 386 +] +private def clayworthNeighborData_chunk19 : Array (Fin 4032) := #[ + 1393, 3955, 14, 2136, 3945, 177, 1972, 3981, 1465, 2172, 2631, 856, 1982, 3148, 1208, 2809, 3138, 1236, 2648, 3866, 88, 1387, 3946, 160, 802, 3442, 154, 894, 1944, 1438, + 2174, 3966, 850, 2797, 3159, 1232, 1442, 2642, 518, 2676, 3853, 1183, 2581, 3144, 501, 648, 1813, 1140, 2701, 2874, 402, 537, 3237, 2206, 2583, 3132, 82, 1376, 2849, 825, + 1837, 3396, 171, 801, 3994, 8, 116, 3952, 652, 2596, 3150, 515, 2632, 2697, 667, 1980, 3163, 2129, 2626, 2703, 32, 692, 3913, 1329, 3652, 3818, 1116, 2939, 3180, 707, + 1218, 1617, 1645, 2256, 3926, 1111, 3428, 3781, 697, 1223, 1630, 1095, 1327, 2918, 273, 2880, 3173, 713, 1224, 3124, 520, 1588, 1886, 105, 2191, 2513, 110, 2517, 3167, 564, + 723, 1544, 286, 3156, 3480, 757, 2159, 3102, 1519, 2284, 2819, 1453, 2334, 3422, 1290, 2078, 2899, 630, 674, 1234, 519, 1512, 2277, 1466, 2547, 3449, 536, 710, 1621, 1093, + 2551, 3192, 2065, 2340, 2886, 596, 1240, 2842, 729, 1550, 2122, 103, 3152, 3508, 1090, 1320, 3827, 670, 1657, 3907, 292, 1465, 2321, 1482, 2838, 3086, 0, 2161, 3919, 3516, + 3702, 3809, 313, 3518, 3668, 29, 2152, 3129, 1409, 2211, 2556, 514, 1521, 1873, 580, 654, 1880, 1293, 2100, 2225, 637, 1199, 1593, 88, 987, 2110, 1002, 3473, 3777, 1211, + 2138, 3930, 50, 1498, 1916, 1441, 2208, 3709, 126, 2072, 2202, 626, 1566, 1908, 82, 1008, 3486, 1190, 1570, 2125, 1196, 2271, 3917, 993, 3413, 3804, 277, 2325, 2909, 1268, + 2829, 3080, 530, 1636, 2260, 1143, 2501, 3437, 4, 1485, 3106, 301, 1442, 3664, 1306, 2219, 3698, 43, 648, 1918, 994, 2361, 3409, 1189, 2296, 2825, 974, 2108, 2349, 592, + 1162, 2831, 756, 1416, 3433, 272, 572, 1883, 1221, 2559, 4022, 2442, 3162, 3457, 2486, 3403, 3859, 1867, 2959, 3978, 761, 2445, 3149, 517, 2536, 3988, 1267, 2557, 3114, 1513, + 3151, 3489, 2186, 2742, 3592, 906, 2255, 3729, 933, 1217, 3733, 2710, 3461, 3636, 1258, 3026, 3123, 793, 1534, 3498, 453, 2883, 3849, 1985, 2118, 2987, 567, 1806, 2545, 738, + 3158, 3380, 476, 3591, 3893, 2012, 2993, 3763, 2469, 3484, 3608, 1244, 3767, 3990, 1800, 2166, 2539, 2906, 3139, 3336, 821, 2701, 3507, 916, 1249, 3032, 563, 1868, 4005, 734, + 2454, 3438, 2017, 2141, 3113, 499, 1514, 2902, 829, 1410, 3440, 317, 1904, 3010, 319, 3015, 3132, 831, 1415, 1532, 1989, 2275, 3772, 449, 2213, 3586, 718, 2198, 3358, 533, + 1826, 2289, 149, 2725, 3362, 918, 1742, 1822, 1780, 1897 +] +private def clayworthNeighborData_chunk20 : Array (Fin 4032) := #[ + 3016, 188, 784, 3419, 481, 1432, 2196, 309, 2035, 2272, 909, 1849, 2266, 2189, 2708, 3385, 950, 1736, 3060, 145, 799, 2698, 179, 3404, 3846, 1758, 1902, 2979, 2116, 2546, + 3120, 1520, 2893, 3145, 2452, 3602, 3865, 2970, 3717, 3981, 490, 1426, 1523, 281, 2026, 3134, 287, 529, 2283, 712, 1460, 2230, 1785, 2115, 2976, 133, 2889, 3843, 1762, 1844, + 2134, 183, 2895, 3342, 991, 2320, 3265, 2130, 3081, 3623, 662, 1710, 1872, 187, 1149, 2512, 163, 312, 2354, 1159, 1709, 2158, 128, 1138, 3271, 1703, 1876, 3591, 653, 1887, + 3335, 1104, 2557, 2773, 2217, 2673, 3003, 888, 951, 1635, 649, 917, 1615, 2224, 2549, 2650, 666, 1994, 3346, 1374, 2559, 2769, 265, 366, 3487, 1210, 2846, 4020, 531, 1893, + 3612, 1092, 1298, 3282, 271, 2671, 3472, 908, 1191, 2873, 172, 2527, 2637, 643, 932, 1675, 537, 1900, 4028, 347, 1142, 1304, 1396, 2218, 2521, 655, 1609, 1997, 1722, 2151, + 3602, 160, 2365, 3292, 2868, 3336, 3998, 331, 2797, 3512, 1013, 1404, 2324, 2024, 2136, 3087, 2031, 3098, 3352, 969, 1361, 2782, 876, 919, 2850, 2664, 2988, 3476, 1319, 2976, + 3303, 550, 864, 3585, 1321, 2236, 3535, 552, 831, 1631, 818, 2033, 2174, 1406, 2358, 3552, 995, 3000, 3493, 891, 2830, 3094, 559, 867, 1656, 1326, 2238, 2944, 829, 1653, + 2010, 1368, 2227, 3555, 287, 2308, 3563, 811, 1180, 2153, 1912, 3330, 3985, 332, 1108, 2788, 184, 291, 2634, 907, 1170, 1700, 975, 2809, 3500, 2824, 3085, 3380, 832, 3075, + 3642, 1016, 2979, 3322, 817, 1153, 3992, 309, 361, 3569, 575, 808, 4030, 368, 1342, 3546, 1273, 1680, 3476, 2510, 3165, 3200, 711, 3683, 3797, 1117, 1213, 2171, 1828, 2147, + 3460, 759, 917, 3168, 1202, 1718, 2112, 732, 3244, 3704, 3642, 3663, 3812, 1088, 1168, 3035, 49, 873, 3774, 794, 1015, 1071, 981, 1064, 3806, 26, 880, 1138, 3623, 3821, + 3937, 1120, 1605, 3056, 421, 1815, 3347, 340, 953, 2703, 206, 3256, 3679, 1156, 1362, 1668, 47, 1804, 3334, 926, 972, 2697, 13, 1092, 2156, 706, 996, 3793, 226, 370, + 3701, 422, 1206, 1368, 874, 1131, 1651, 1073, 3833, 3946, 709, 3136, 3259, 1684, 2144, 3510, 374, 2723, 3620, 428, 3042, 3353, 1261, 1601, 3472, 2530, 3140, 3918, 2529, 3630, + 3938, 1252, 1628, 3050, 781, 983, 2741, 40, 3331, 3736, 1383, 1714, 3758, 219, 808, 3235, 560, 892, 1385, 234, 1037, 2905, 2941, 3186, 3931, 545, 1633, 3517, 1233, 3337, + 3730, 778, 2544, 2719, 240, 817, 1034, 894, 1390, 3753 +] +private def clayworthNeighborData_chunk21 : Array (Fin 4032) := #[ + 1050, 2943, 3952, 554, 883, 1642, 546, 1813, 3506, 932, 2896, 3179, 324, 3629, 3657, 443, 1172, 3022, 10, 1803, 2168, 727, 913, 971, 1237, 3041, 3381, 2538, 2744, 3595, + 815, 2523, 3232, 1246, 1725, 3751, 336, 941, 2911, 394, 526, 1847, 225, 381, 2933, 431, 539, 1406, 1829, 3329, 3538, 605, 2527, 3178, 931, 1774, 2335, 1277, 2235, 2576, + 1393, 2211, 3522, 608, 1773, 3829, 1266, 2176, 3335, 952, 1767, 3163, 911, 2360, 2745, 1232, 2621, 3501, 1106, 1157, 3268, 120, 227, 1079, 207, 1045, 2324, 1127, 1207, 2613, + 2348, 2733, 3983, 1517, 2623, 3492, 1354, 1933, 2451, 1332, 3089, 3811, 927, 2256, 3150, 146, 1220, 3346, 1159, 1391, 2438, 1036, 3102, 3791, 1175, 2220, 2591, 1060, 1739, 2320, + 949, 1340, 2260, 152, 1270, 1960, 1146, 1530, 2585, 201, 2341, 3994, 576, 1786, 3184, 2208, 3356, 3527, 1310, 2705, 3093, 1930, 2457, 3486, 1506, 1836, 3544, 580, 2552, 4000, + 2531, 2724, 4003, 1529, 1848, 3477, 108, 1047, 3129, 1180, 2435, 3318, 167, 3325, 3367, 96, 2301, 3170, 169, 847, 1116, 223, 2244, 3662, 626, 3681, 4011, 864, 1505, 3572, + 1808, 2441, 3284, 123, 2505, 3117, 99, 248, 2290, 174, 1095, 3314, 245, 3682, 4017, 867, 1089, 1473, 875, 1370, 3528, 619, 3690, 3807, 905, 1297, 2718, 1236, 1967, 3513, + 1154, 1384, 2232, 1035, 1764, 3785, 1823, 2485, 3473, 2511, 2709, 3108, 64, 2549, 3169, 1812, 3280, 3386, 1304, 3696, 3832, 881, 1357, 1946, 1342, 2294, 3675, 190, 858, 1969, + 1325, 1559, 2568, 1225, 3345, 3743, 219, 1955, 2119, 2299, 2640, 3154, 1281, 1684, 2275, 194, 1885, 3364, 2240, 2584, 3175, 206, 1241, 1976, 1935, 2072, 2114, 2685, 3065, 3160, + 147, 2313, 3984, 948, 1143, 1186, 1109, 1209, 2117, 134, 2677, 4029, 2066, 2135, 3949, 464, 2687, 3042, 1026, 1720, 2803, 547, 1496, 1899, 1235, 1951, 3859, 15, 2578, 3182, + 181, 1031, 1695, 1100, 1534, 1888, 131, 2284, 2655, 204, 1124, 2140, 561, 1973, 3865, 35, 2793, 3177, 468, 2649, 4018, 1182, 2167, 3961, 200, 1269, 3349, 1338, 2272, 2612, + 527, 1524, 2089, 1032, 2812, 3060, 504, 1337, 1538, 3358, 3768, 3905, 2087, 3747, 3962, 479, 1544, 3022, 926, 1111, 1532, 153, 1042, 2319, 26, 2326, 2567, 958, 1222, 3878, + 43, 328, 4022, 257, 1160, 3880, 301, 3385, 3937, 327, 492, 1314, 1048, 1563, 2330, 913, 1489, 3721, 920, 1166, 3887, 49, 2307, 3988, 314, 1204, 3938, 322, 485, 3972, + 338, 1313, 1701, 313, 1860, 3373, 538, 1929, 2110, 2814 +] +private def clayworthNeighborData_chunk22 : Array (Fin 4032) := #[ + 3038, 3198, 137, 1680, 2296, 215, 1099, 1856, 1076, 1550, 3016, 1502, 2094, 3727, 956, 1219, 3765, 1548, 2317, 2562, 290, 544, 1906, 344, 1708, 2794, 289, 555, 3903, 32, + 372, 2800, 961, 2735, 4010, 754, 866, 1953, 1167, 2173, 2209, 42, 115, 3162, 62, 3697, 4028, 1968, 2166, 3471, 51, 106, 967, 736, 2162, 2218, 1178, 2177, 2420, 69, + 2031, 3185, 1675, 1741, 3210, 770, 3287, 3729, 791, 1155, 3266, 1738, 3146, 3213, 1165, 2398, 3858, 2022, 2629, 3176, 1296, 1551, 3658, 1488, 1870, 3487, 704, 2227, 3387, 97, + 978, 1053, 1311, 3240, 3695, 782, 1492, 3512, 48, 3149, 3226, 780, 1161, 2128, 1898, 2181, 3366, 65, 1030, 1579, 1765, 2679, 3183, 1174, 3271, 3864, 747, 1962, 2116, 60, + 988, 4019, 1503, 1883, 2430, 1300, 1562, 2047, 2684, 2726, 4016, 865, 1954, 3842, 833, 2385, 3847, 2003, 2675, 2747, 776, 1509, 3742, 1336, 1676, 3247, 999, 1028, 1685, 733, + 3372, 3748, 1046, 1447, 1782, 695, 3269, 3338, 657, 1934, 3848, 1449, 2641, 4009, 1324, 1687, 2725, 877, 1516, 3769, 3319, 3365, 3733, 1078, 1700, 1750, 661, 3292, 3892, 1454, + 1748, 2645, 1470, 3674, 4030, 700, 1947, 3465, 1904, 2204, 2392, 92, 1585, 2024, 41, 3249, 3688, 795, 2132, 3491, 1317, 2009, 2732, 890, 1528, 2428, 708, 889, 3757, 1018, + 1719, 2698, 691, 1890, 3509, 1432, 1571, 3661, 645, 1889, 3375, 1027, 1426, 1568, 1025, 3120, 3874, 1124, 1728, 3229, 1231, 2237, 2657, 602, 828, 1202, 945, 1152, 3882, 2230, + 3232, 3562, 830, 1031, 1195, 1734, 2226, 2658, 1242, 2666, 2936, 625, 785, 2095, 1892, 3147, 3382, 85, 981, 3270, 100, 977, 1219, 586, 1867, 3172, 1229, 2805, 2915, 616, + 2086, 3628, 753, 906, 1648, 270, 1552, 3582, 1747, 2491, 2638, 196, 792, 1042, 730, 943, 3175, 94, 1556, 3561, 589, 1156, 3181, 109, 1225, 2192, 298, 2470, 2651, 242, + 820, 1634, 623, 1868, 3643, 990, 1238, 2761, 1757, 2180, 3200, 1052, 1184, 3873, 283, 1567, 2933, 744, 1627, 2111, 3099, 3594, 3854, 1133, 2808, 3204, 1145, 2783, 2895, 2067, + 3084, 3621, 81, 1573, 3267, 717, 3182, 3350, 246, 1063, 3357, 1766, 2476, 3289, 208, 458, 1911, 398, 1005, 2442, 417, 2787, 3250, 492, 3631, 3867, 714, 3118, 3331, 1105, + 1580, 3273, 996, 2469, 3283, 212, 1877, 3332, 418, 1017, 2767, 485, 1879, 3622, 507, 922, 3888, 426, 3243, 3571, 304, 2672, 2911, 798, 1614, 2088, 936, 1181, 3194, 121, + 2196, 3568, 751, 2073, 3083, 1118, 1592, 2889, 1109, 1787 +] +private def clayworthNeighborData_chunk23 : Array (Fin 4032) := #[ + 3317, 1082, 3113, 3334, 290, 432, 3580, 486, 909, 1642, 289, 411, 2479, 253, 495, 1633, 99, 1217, 3881, 373, 1329, 2006, 8, 1017, 2429, 2215, 2746, 3389, 90, 2097, + 2238, 190, 1993, 2422, 1223, 2222, 3378, 14, 376, 2418, 2, 990, 2613, 276, 2689, 3344, 1119, 2134, 3446, 1059, 3064, 3559, 974, 1080, 3043, 1144, 2115, 2745, 761, 1012, + 2591, 293, 850, 2721, 409, 2058, 2450, 158, 2519, 2833, 27, 355, 3591, 1234, 3332, 3792, 2095, 2138, 2456, 145, 1033, 2846, 2121, 2194, 2733, 994, 1055, 2384, 12, 2532, + 3612, 387, 3382, 3807, 839, 1132, 2722, 749, 968, 3040, 351, 1987, 2372, 79, 1244, 2217, 2508, 2575, 2837, 287, 437, 2439, 96, 884, 3888, 737, 1323, 1997, 738, 1312, + 2616, 300, 856, 3882, 1039, 2873, 3566, 2125, 2484, 3414, 1255, 3421, 3837, 335, 3544, 3586, 1108, 1515, 3801, 2654, 3067, 3639, 705, 2010, 2632, 107, 840, 1512, 2440, 3395, + 3900, 1295, 2861, 3561, 3052, 3538, 3607, 1104, 3396, 3839, 762, 2676, 3008, 834, 1125, 1521, 113, 1535, 2074, 152, 1999, 2638, 23, 2507, 2569, 272, 393, 3348, 2088, 2127, + 2200, 188, 1077, 2388, 312, 2434, 3891, 1315, 2595, 2852, 329, 1306, 3582, 1274, 3398, 3902, 180, 2551, 2658, 403, 1533, 2061, 2517, 2681, 3589, 390, 1522, 3829, 1345, 2780, + 3926, 1731, 1856, 3511, 60, 680, 2538, 911, 2473, 2649, 918, 1114, 2785, 659, 2037, 3473, 922, 1351, 2494, 17, 703, 1862, 62, 841, 2547, 303, 2480, 2677, 84, 1494, + 2957, 414, 1154, 3018, 441, 1160, 2537, 1485, 2630, 2966, 835, 2556, 2834, 294, 2633, 3347, 625, 1120, 2587, 728, 2045, 3747, 30, 1875, 2883, 1362, 1954, 2492, 1131, 1492, + 2574, 392, 756, 2000, 905, 1482, 2643, 418, 687, 2544, 52, 2889, 3761, 637, 1934, 2483, 2627, 2947, 3334, 1166, 2558, 2823, 665, 1885, 3477, 909, 1372, 2753, 722, 858, + 3727, 319, 616, 2572, 2757, 3387, 3907, 1734, 2874, 3461, 854, 1757, 2855, 275, 3366, 3910, 436, 712, 3021, 101, 1526, 2568, 95, 1383, 1977, 1894, 2886, 3028, 1972, 2959, + 3208, 1164, 2258, 2905, 2292, 2817, 3507, 2803, 3207, 3328, 108, 2562, 3908, 706, 1782, 3030, 1175, 2899, 3045, 80, 1950, 2970, 1179, 2264, 2844, 2953, 3202, 3357, 1103, 2794, + 3218, 2009, 2248, 3516, 24, 847, 3738, 296, 639, 2474, 899, 1137, 1509, 398, 678, 2015, 281, 2583, 3933, 711, 845, 1732, 1750, 1915, 3062, 120, 1402, 3958, 2047, 2242, + 3744, 619, 1123, 3224, 2247, 2933, 3755, 626, 1928, 3252 +] +private def clayworthNeighborData_chunk24 : Array (Fin 4032) := #[ + 195, 2753, 3036, 1681, 1920, 3872, 836, 1118, 3185, 1303, 2265, 3539, 595, 3041, 3520, 835, 3670, 3855, 221, 2293, 3526, 861, 1926, 3179, 1140, 1919, 3176, 539, 1292, 2259, + 10, 651, 2954, 771, 1610, 2084, 790, 1148, 1613, 652, 1288, 2957, 1112, 1881, 3394, 524, 753, 1307, 191, 616, 2525, 2201, 3369, 3663, 407, 1939, 3186, 196, 2249, 2430, + 623, 661, 2500, 1620, 2229, 3657, 663, 1282, 3558, 886, 1105, 1622, 396, 3197, 3379, 171, 2243, 2428, 730, 1294, 2966, 781, 1150, 3399, 838, 1949, 3875, 198, 3009, 3549, + 1903, 2239, 3376, 189, 553, 2502, 736, 2810, 3013, 1724, 3444, 3883, 1715, 1875, 3400, 523, 747, 2791, 1637, 2059, 2207, 37, 676, 2550, 22, 246, 2409, 386, 1958, 2103, + 1769, 2410, 2964, 398, 783, 1818, 1827, 3416, 3889, 739, 1770, 3059, 20, 2518, 2759, 1719, 2060, 2192, 392, 777, 2069, 13, 2416, 2981, 794, 1807, 3410, 719, 1776, 2998, + 601, 1779, 3050, 1824, 3661, 3866, 1896, 3199, 3370, 178, 560, 2246, 614, 695, 3579, 854, 1654, 3651, 558, 2499, 2770, 1669, 1894, 2237, 1685, 1979, 2071, 54, 214, 2780, + 1835, 3390, 3674, 168, 639, 1788, 411, 1841, 3388, 177, 1790, 2419, 9, 1793, 3622, 768, 1089, 2688, 2956, 3351, 3667, 1611, 1739, 3044, 1783, 1797, 2826, 121, 772, 2985, + 1764, 3019, 3590, 2694, 2971, 3383, 3330, 3686, 3800, 973, 1646, 3053, 144, 2014, 3757, 919, 2451, 3894, 2457, 3711, 3860, 159, 1627, 2041, 593, 3695, 3794, 688, 986, 1641, + 1195, 2875, 4012, 65, 456, 3911, 2356, 2707, 3333, 1575, 3054, 3613, 165, 2860, 4027, 122, 500, 3890, 184, 1612, 1740, 2955, 3673, 3856, 2312, 3356, 3956, 1167, 1582, 3047, + 681, 1648, 2018, 606, 2495, 3688, 797, 2717, 2992, 1749, 1820, 3603, 462, 3817, 3922, 963, 1201, 4024, 53, 691, 1825, 638, 800, 1146, 636, 1133, 3815, 25, 682, 975, + 478, 951, 3844, 148, 3769, 3968, 1554, 3584, 3713, 903, 2328, 2726, 1342, 1598, 1992, 2075, 2311, 2479, 600, 811, 2090, 700, 1331, 1834, 6, 3746, 4000, 505, 901, 1122, + 898, 2322, 2470, 1560, 2036, 3770, 628, 2096, 2472, 702, 1340, 1998, 1322, 1843, 2863, 98, 818, 2081, 3335, 3838, 3928, 982, 1178, 3066, 172, 1751, 2853, 109, 2990, 3901, + 19, 969, 4003, 482, 1145, 3822, 924, 1121, 2747, 3, 3643, 3745, 97, 2082, 3906, 1184, 1328, 2854, 2062, 2306, 3912, 1187, 1321, 1577, 257, 649, 3179, 1217, 2816, 3653, + 2042, 2740, 3272, 203, 2789, 3052, 261, 3055, 3091, 26 +] +private def clayworthNeighborData_chunk25 : Array (Fin 4032) := #[ + 3282, 3649, 2772, 3067, 3162, 2696, 2822, 3316, 2029, 2649, 2718, 238, 1801, 2796, 2192, 2985, 3986, 403, 1047, 3958, 409, 2017, 3924, 219, 2207, 3992, 753, 2041, 2687, 233, + 1845, 2362, 1324, 3081, 3812, 3, 1879, 2881, 2702, 2835, 3579, 2768, 3151, 3715, 1339, 2213, 3125, 22, 2908, 3954, 204, 2232, 3045, 1985, 3266, 3920, 1870, 2722, 3564, 2783, + 3721, 3815, 240, 2305, 4030, 447, 744, 2018, 2845, 3288, 3676, 284, 3046, 3185, 1858, 2662, 2913, 1336, 1827, 3787, 289, 693, 2322, 754, 1274, 3699, 747, 1261, 2664, 665, + 1823, 2343, 1079, 2885, 3908, 1280, 2196, 2990, 2968, 3171, 3734, 1031, 2854, 3520, 190, 3738, 4014, 431, 3217, 3555, 765, 3252, 3690, 179, 298, 2311, 646, 1312, 2983, 1029, + 1250, 2931, 422, 1026, 3552, 3006, 3725, 4007, 424, 767, 3230, 188, 2332, 4009, 170, 307, 3078, 15, 3224, 3681, 1864, 2643, 2745, 1807, 2808, 3822, 2220, 3018, 3097, 13, + 3271, 3965, 659, 1315, 1848, 1273, 2671, 2922, 1052, 1249, 2875, 643, 2962, 3168, 9, 1868, 3262, 176, 3075, 3821, 1883, 3260, 3576, 169, 3727, 3834, 777, 2157, 2513, 970, + 1358, 1674, 1822, 3214, 3560, 752, 3116, 3824, 2553, 3119, 3871, 1377, 1593, 3539, 731, 2133, 3131, 1704, 3227, 3583, 50, 1844, 3234, 746, 3750, 3803, 237, 1866, 2384, 1239, + 1421, 2628, 1434, 1852, 2674, 1903, 2399, 3809, 4, 1816, 2450, 590, 3771, 3790, 930, 2297, 3855, 1125, 1537, 2620, 138, 1713, 3248, 718, 2129, 2315, 2270, 2405, 3849, 1455, + 1594, 2611, 2424, 3109, 3818, 1457, 1809, 3567, 141, 1126, 3242, 738, 944, 2340, 603, 1896, 3810, 1854, 2439, 2667, 1378, 1711, 3545, 2148, 2526, 3110, 16, 1098, 2577, 910, + 2285, 3722, 609, 821, 2517, 1007, 1371, 2490, 54, 998, 2471, 610, 793, 3756, 1271, 1418, 2565, 228, 2257, 2388, 222, 2142, 2316, 175, 1223, 1690, 672, 1882, 2359, 177, + 2025, 2624, 1392, 2044, 2433, 618, 669, 2532, 213, 774, 2261, 1004, 1221, 2615, 168, 1218, 2653, 249, 1869, 2327, 2046, 2460, 2656, 624, 640, 1905, 644, 2541, 3896, 1386, + 1570, 2035, 61, 1135, 3233, 737, 923, 3759, 2412, 3082, 3893, 1448, 1581, 3558, 787, 2276, 3749, 20, 1019, 2581, 997, 1244, 1677, 209, 771, 2169, 1132, 1569, 2026, 690, + 929, 3875, 154, 1147, 2032, 683, 938, 2325, 621, 653, 1220, 770, 1815, 2627, 334, 1617, 1989, 1500, 1732, 3793, 1216, 2756, 3781, 1986, 2637, 3169, 615, 1782, 3797, 796, + 1621, 2039, 347, 1660, 3675, 1477, 1778, 2995, 311, 522 +] +private def clayworthNeighborData_chunk26 : Array (Fin 4032) := #[ + 2298, 1069, 1668, 1977, 353, 1714, 1954, 559, 1505, 2241, 368, 3638, 3696, 126, 1523, 2949, 2139, 2708, 2784, 2602, 2872, 3141, 773, 976, 1655, 622, 1748, 2454, 556, 2725, + 2752, 1978, 2851, 3164, 550, 1473, 3836, 354, 1953, 2012, 1021, 1605, 2574, 1744, 2158, 2435, 124, 1514, 2268, 362, 1707, 3588, 775, 2007, 2646, 634, 1245, 3831, 2608, 2847, + 3659, 2124, 2704, 2961, 112, 666, 1266, 1804, 2633, 3600, 1819, 3604, 3689, 105, 689, 2999, 1081, 1965, 2831, 279, 549, 2732, 292, 587, 2486, 823, 991, 1045, 225, 2258, + 2461, 985, 1664, 1897, 1916, 2639, 3645, 106, 243, 1259, 268, 687, 2744, 1054, 1800, 2825, 1013, 1060, 1693, 277, 2279, 2436, 1696, 1918, 3634, 115, 234, 2247, 197, 1248, + 2802, 1907, 2650, 3178, 1651, 2587, 3660, 1789, 2123, 3004, 571, 2781, 3827, 1921, 1991, 3137, 680, 2719, 2965, 1806, 2869, 3694, 791, 1041, 1794, 267, 612, 650, 1898, 2593, + 3187, 220, 2160, 2795, 1023, 1904, 2594, 193, 2153, 2438, 1284, 3204, 3367, 834, 1569, 3735, 1831, 2329, 2820, 609, 2050, 3612, 1280, 1518, 2053, 1564, 1861, 2320, 577, 2055, + 3206, 860, 2367, 2845, 1838, 2246, 2866, 307, 618, 3589, 100, 203, 1381, 331, 415, 676, 437, 685, 1816, 85, 1354, 3617, 830, 1833, 2269, 316, 2728, 3635, 1085, 1429, + 1517, 1677, 1858, 2222, 837, 2816, 3118, 604, 3203, 3397, 76, 1040, 1508, 686, 1686, 1879, 119, 2071, 3585, 698, 1810, 2357, 2203, 2848, 3111, 581, 1459, 3420, 1391, 2751, + 3626, 409, 809, 1854, 839, 1537, 2365, 1309, 2076, 3229, 1690, 2217, 2262, 304, 1087, 1463, 1330, 2731, 3374, 819, 1578, 3724, 828, 2244, 3739, 318, 2737, 3369, 356, 651, + 1667, 75, 228, 1055, 231, 3222, 3447, 343, 887, 3083, 942, 1403, 3394, 445, 3029, 3117, 810, 1587, 3013, 944, 1323, 2738, 237, 1077, 3352, 341, 1673, 3720, 332, 400, + 3108, 238, 1388, 3415, 447, 816, 3063, 937, 1382, 2749, 923, 1312, 1511, 1541, 1884, 3059, 2224, 2243, 2859, 298, 627, 1413, 87, 1483, 2103, 679, 1911, 2335, 297, 1049, + 3390, 1679, 2294, 3726, 375, 855, 3714, 250, 3254, 3346, 1863, 2187, 3068, 908, 1425, 1530, 2188, 3025, 3130, 907, 1468, 3399, 1811, 3302, 3846, 1693, 2727, 3542, 2489, 2661, + 3111, 1376, 3773, 3836, 1839, 3483, 3828, 125, 3134, 3529, 3270, 3762, 3793, 2644, 2695, 3090, 1751, 2462, 2634, 852, 1344, 3728, 1871, 2179, 3040, 19, 2809, 3660, 38, 2446, + 3659, 1400, 1891, 2198, 598, 1730, 2484, 869, 1403, 2504 +] +private def clayworthNeighborData_chunk27 : Array (Fin 4032) := #[ + 304, 381, 3489, 113, 511, 3951, 513, 2678, 2716, 2053, 3293, 3716, 297, 1909, 3490, 63, 104, 3942, 1379, 1912, 3838, 47, 2466, 3118, 486, 545, 2646, 373, 2099, 3766, + 1388, 2230, 2510, 579, 2440, 3684, 2706, 3096, 3523, 1830, 3283, 3806, 473, 1755, 3914, 283, 336, 863, 1817, 2519, 3869, 602, 1668, 3533, 589, 1718, 1736, 876, 2498, 3844, + 25, 2782, 3963, 302, 1865, 3043, 2076, 3057, 3264, 540, 2689, 2766, 2081, 2153, 2205, 563, 1578, 3703, 591, 1577, 3546, 1855, 2154, 2508, 267, 3023, 3862, 1667, 2804, 3948, + 517, 2786, 3671, 2049, 2182, 3051, 585, 1584, 3669, 2160, 2180, 2523, 1832, 2163, 3504, 114, 1598, 3535, 467, 1740, 2637, 351, 848, 3732, 1887, 3470, 3800, 40, 127, 3113, + 268, 888, 3894, 1686, 1742, 3941, 1670, 2746, 2760, 3034, 3323, 3843, 107, 488, 1596, 383, 2172, 3498, 495, 554, 1587, 345, 2090, 2174, 260, 377, 2477, 759, 1290, 3333, + 615, 1454, 3734, 1797, 2256, 3255, 256, 2265, 2561, 33, 3329, 3741, 1847, 2271, 2453, 740, 1419, 3766, 622, 1173, 1447, 1820, 2804, 3221, 2199, 2960, 3999, 528, 3486, 3596, + 600, 3508, 3595, 2178, 3005, 3251, 617, 1169, 2857, 846, 2760, 3217, 1250, 2617, 3802, 5, 2377, 3890, 715, 1444, 1610, 1815, 2449, 3266, 1273, 2181, 2594, 28, 3632, 3883, + 2183, 2301, 3205, 594, 3630, 3715, 1453, 1613, 2381, 1794, 3287, 3779, 859, 2994, 3260, 638, 2878, 3464, 725, 3356, 3716, 285, 2293, 2468, 1157, 2371, 3844, 1230, 2770, 3789, + 306, 354, 865, 1327, 2858, 3379, 1212, 1318, 2864, 353, 866, 2754, 532, 3611, 3872, 1246, 2231, 4024, 2462, 3272, 3977, 568, 716, 1647, 1566, 2998, 3291, 233, 1649, 3490, + 252, 2867, 3370, 299, 874, 1560, 378, 1268, 4003, 549, 1324, 3840, 543, 1640, 3513, 2964, 3278, 4021, 254, 2876, 3470, 880, 1588, 2948, 288, 1598, 2618, 42, 243, 3361, + 1207, 1466, 2390, 1799, 2776, 3798, 2204, 2303, 2593, 1, 3625, 3718, 321, 1224, 2759, 1203, 1339, 3869, 556, 727, 1317, 365, 2489, 3983, 51, 234, 2383, 1596, 2605, 3791, + 240, 1626, 2394, 1553, 3276, 3785, 833, 902, 1451, 133, 3302, 3938, 1360, 2300, 3578, 3347, 3671, 4005, 837, 3603, 3676, 129, 2292, 2679, 1434, 3703, 3988, 1364, 2302, 3912, + 1375, 1562, 3565, 2925, 3353, 4012, 1998, 3423, 3779, 17, 383, 1513, 381, 1534, 3553, 2011, 3375, 3782, 617, 1551, 3577, 2937, 3166, 3391, 1674, 2068, 3593, 727, 2635, 2955, + 1381, 2796, 3956, 779, 1423, 3984, 1701, 3637, 3830, 1511 +] +private def clayworthNeighborData_chunk28 : Array (Fin 4032) := #[ + 2636, 2990, 3366, 3650, 3805, 1496, 2257, 3521, 718, 1388, 2789, 780, 2104, 3999, 2032, 3188, 3368, 370, 638, 3554, 156, 2264, 3918, 860, 1457, 3653, 706, 1558, 2980, 1677, + 2085, 2881, 865, 925, 3196, 179, 618, 3323, 624, 1545, 3308, 900, 2914, 3153, 21, 1518, 2983, 1684, 3448, 3798, 814, 1443, 3401, 51, 2811, 3934, 125, 816, 2017, 369, + 1279, 2799, 170, 627, 1263, 89, 874, 3198, 918, 1718, 3427, 55, 3002, 3274, 60, 360, 2790, 809, 2018, 3445, 363, 636, 1256, 127, 2026, 3160, 117, 883, 3590, 161, + 1254, 2645, 712, 1400, 1549, 2092, 2938, 4024, 3609, 3655, 3780, 1490, 2270, 2647, 950, 1686, 2913, 1539, 2989, 3301, 5, 3311, 3961, 899, 1440, 3407, 716, 1235, 2660, 95, + 2064, 3587, 731, 1241, 2762, 80, 795, 2079, 1716, 1753, 3931, 720, 1340, 2602, 511, 1512, 2380, 1259, 3673, 3722, 1987, 3766, 3927, 1491, 2565, 3460, 1266, 1721, 3725, 488, + 1285, 1535, 509, 1385, 2395, 1265, 2871, 3711, 566, 1558, 1859, 138, 1041, 3359, 165, 1045, 2370, 534, 1590, 3679, 1390, 2382, 3407, 1817, 2837, 3709, 1093, 1988, 3091, 2775, + 3459, 3590, 497, 1335, 3278, 987, 1277, 1698, 1116, 1542, 2038, 1075, 2754, 3462, 1540, 3701, 3749, 1079, 1519, 2391, 491, 3272, 3638, 972, 1279, 3112, 525, 1845, 3664, 148, + 2376, 3401, 1331, 1497, 2611, 1694, 3734, 3916, 1371, 2764, 3613, 1139, 2867, 3097, 1781, 1853, 3918, 765, 2593, 3405, 767, 1355, 3418, 1759, 1855, 2833, 1084, 2760, 3344, 1089, + 1539, 1878, 974, 1678, 1871, 1301, 3298, 3353, 405, 549, 962, 150, 630, 3294, 579, 2561, 3414, 444, 1808, 3912, 1121, 1789, 1869, 757, 2766, 3389, 141, 3321, 3381, 532, + 968, 1865, 182, 598, 3395, 401, 522, 1823, 435, 1990, 3906, 582, 2588, 3510, 498, 1392, 3588, 1256, 2821, 3135, 1565, 2006, 3732, 1029, 1510, 3485, 1130, 1744, 2876, 729, + 1356, 2779, 735, 1297, 3391, 1672, 1791, 1882, 605, 3478, 3587, 389, 2013, 3110, 580, 3316, 3606, 439, 983, 3119, 272, 2392, 3693, 462, 640, 1269, 1173, 1671, 2977, 2525, + 2685, 3643, 3300, 3619, 3678, 149, 1231, 1719, 310, 2674, 3584, 684, 1692, 2978, 1188, 1595, 2986, 2496, 2640, 3412, 113, 1086, 1961, 1818, 2295, 2479, 1182, 2261, 2472, 90, + 1968, 2546, 1197, 1536, 3040, 2528, 3205, 3408, 933, 1000, 3287, 185, 527, 852, 14, 696, 2958, 260, 2628, 2898, 111, 1007, 3276, 158, 521, 2252, 77, 2500, 3628, 1169, + 1666, 2276, 34, 882, 2971, 934, 2678, 2904, 1962, 2539 +] +private def clayworthNeighborData_chunk29 : Array (Fin 4032) := #[ + 3251, 1209, 2481, 3051, 699, 1225, 1669, 276, 3616, 3705, 547, 886, 1592, 940, 1009, 3396, 2386, 3201, 3684, 482, 1247, 3037, 481, 1568, 3008, 2407, 3228, 3453, 565, 1805, + 2263, 104, 970, 1048, 306, 1070, 2919, 27, 675, 1832, 1328, 1980, 2921, 42, 2445, 3072, 1272, 3012, 3107, 1313, 3233, 3669, 973, 1042, 2409, 496, 543, 1802, 48, 1841, + 2442, 1065, 1982, 2926, 2458, 3058, 3104, 1322, 1971, 3242, 1314, 3285, 3665, 164, 1251, 3128, 836, 1580, 2992, 955, 2644, 3446, 74, 3275, 3640, 145, 1687, 2251, 986, 2414, + 3442, 490, 568, 1571, 475, 672, 1839, 317, 1063, 2430, 173, 848, 3116, 906, 1294, 3319, 33, 893, 3131, 943, 1307, 2942, 505, 1359, 2004, 2149, 2344, 2913, 1735, 3324, + 3826, 1185, 2589, 3168, 1988, 3180, 3364, 1783, 2171, 2197, 1194, 1400, 3171, 1756, 2330, 3281, 3326, 3719, 3819, 1186, 1435, 2560, 30, 2089, 3614, 282, 431, 2423, 424, 2389, + 3805, 57, 2096, 2610, 2785, 3740, 3808, 1456, 1600, 2592, 1061, 1811, 3351, 84, 2233, 2299, 654, 2317, 3294, 1200, 1375, 1712, 21, 1798, 3340, 2206, 2284, 2380, 45, 2564, + 3136, 1730, 2404, 3780, 114, 674, 3316, 1062, 1179, 1706, 1632, 2090, 2603, 433, 2794, 3776, 1733, 2156, 2353, 1379, 2038, 3192, 118, 2278, 3751, 1068, 1442, 1817, 493, 1604, + 2000, 2122, 2766, 2922, 2786, 2928, 3713, 484, 1450, 1629, 269, 2277, 2391, 17, 1795, 3641, 1397, 1691, 3605, 296, 667, 2314, 176, 1698, 2108, 397, 682, 2534, 2159, 2540, + 2779, 161, 1650, 2045, 465, 1801, 3629, 266, 2250, 2894, 305, 394, 688, 1678, 2110, 3601, 410, 2555, 2800, 170, 1643, 2099, 162, 2034, 3349, 2150, 2212, 2533, 68, 3288, + 3730, 1083, 1166, 1422, 36, 3195, 3339, 1751, 2193, 2379, 469, 1441, 1845, 2287, 2907, 3770, 303, 2351, 2914, 478, 1353, 3620, 80, 2221, 2506, 142, 1034, 3383, 125, 673, + 2543, 155, 1071, 1697, 978, 2345, 3301, 479, 1250, 1437, 163, 632, 2102, 1860, 2220, 2417, 1872, 2328, 2929, 576, 1205, 1440, 1006, 1906, 2394, 184, 611, 1258, 143, 569, + 2068, 2213, 2408, 3686, 772, 2514, 2629, 35, 248, 2487, 15, 2098, 2453, 2214, 2535, 2679, 557, 1516, 2064, 2186, 2830, 3707, 333, 2890, 3731, 1187, 1380, 2740, 159, 1264, + 3338, 402, 1001, 2381, 2631, 2927, 3718, 1167, 1365, 2444, 1910, 2235, 2647, 620, 2052, 2468, 181, 2748, 3341, 360, 408, 2378, 2223, 2554, 2843, 9, 1531, 2109, 608, 1249, + 1408, 999, 1917, 2366, 529, 1389, 2718, 330, 3658, 3737 +] +private def clayworthNeighborData_chunk30 : Array (Fin 4032) := #[ + 2350, 2849, 3308, 504, 1412, 1507, 483, 548, 1528, 2850, 3320, 3692, 236, 1361, 2455, 822, 2652, 3715, 423, 829, 1022, 224, 1243, 3375, 425, 1935, 2524, 31, 2987, 3377, + 1458, 1504, 2944, 1952, 2343, 2858, 788, 3280, 3721, 251, 457, 1374, 56, 227, 3368, 430, 818, 2503, 53, 1472, 2976, 1955, 2497, 2864, 1963, 2322, 2906, 1183, 1451, 2973, + 137, 542, 2705, 367, 2415, 3695, 1876, 2626, 2920, 635, 1161, 2443, 3295, 3685, 3765, 463, 533, 1401, 192, 501, 1230, 784, 984, 3284, 1208, 2712, 2948, 346, 1969, 2893, + 2750, 2994, 3354, 369, 446, 1946 +] +private def clayworthNeighborData : Array (Fin 4032) := + clayworthNeighborData_chunk0 ++ clayworthNeighborData_chunk1 ++ clayworthNeighborData_chunk2 ++ clayworthNeighborData_chunk3 ++ clayworthNeighborData_chunk4 ++ clayworthNeighborData_chunk5 ++ clayworthNeighborData_chunk6 ++ clayworthNeighborData_chunk7 ++ clayworthNeighborData_chunk8 ++ clayworthNeighborData_chunk9 ++ clayworthNeighborData_chunk10 ++ clayworthNeighborData_chunk11 ++ clayworthNeighborData_chunk12 ++ clayworthNeighborData_chunk13 ++ clayworthNeighborData_chunk14 ++ clayworthNeighborData_chunk15 ++ clayworthNeighborData_chunk16 ++ clayworthNeighborData_chunk17 ++ clayworthNeighborData_chunk18 ++ clayworthNeighborData_chunk19 ++ clayworthNeighborData_chunk20 ++ clayworthNeighborData_chunk21 ++ clayworthNeighborData_chunk22 ++ clayworthNeighborData_chunk23 ++ clayworthNeighborData_chunk24 ++ clayworthNeighborData_chunk25 ++ clayworthNeighborData_chunk26 ++ clayworthNeighborData_chunk27 ++ clayworthNeighborData_chunk28 ++ clayworthNeighborData_chunk29 ++ clayworthNeighborData_chunk30 +private theorem clayworthNeighborData_size : clayworthNeighborData.size = 12096 := by native_decide + +private def clayworthAdjBool (u v : Fin 4032) : Bool := + have h := clayworthNeighborData_size + let b := 3 * u.val + clayworthNeighborData[b]'(by omega) == v || + clayworthNeighborData[b + 1]'(by omega) == v || + clayworthNeighborData[b + 2]'(by omega) == v + +def clayworthGraph : SimpleGraph (Fin 4032) where + Adj u v := clayworthAdjBool u v + symm u v := by simp only [clayworthAdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [clayworthAdjBool]; revert u; native_decide⟩ + +instance clayworthDecAdj : DecidableRel clayworthGraph.Adj := + fun u v => inferInstanceAs (Decidable (clayworthAdjBool u v)) + +/-! ## Generators -/ + +private def clayworthGen1Fwd_chunk0 : Array (Fin 4032) := #[ + 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, + 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, + 124, 125, 126, 127, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, + 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, + 248, 249, 250, 251, 252, 253, 254, 255, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, + 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, + 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, + 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, + 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, + 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, + 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, + 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, + 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, + 902, 903, 904, 905, 906, 907, 908, 909, 910, 911 +] +private def clayworthGen1Fwd_chunk1 : Array (Fin 4032) := #[ + 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, + 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, + 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, + 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, + 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, + 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1408, 1409, 1410, 1411, + 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, + 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, + 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, + 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, + 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, + 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, + 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, + 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823 +] +private def clayworthGen1Fwd_chunk2 : Array (Fin 4032) := #[ + 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, + 1854, 1855, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, + 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, + 1978, 1979, 1980, 1981, 1982, 1983, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, + 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, + 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, + 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, + 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, + 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, + 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, + 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, + 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, + 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, + 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671 +] +private def clayworthGen1Fwd_chunk3 : Array (Fin 4032) := #[ + 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2371, 2370, 2389, 2388, 2381, 2380, 2422, 2423, 2385, 2384, 2427, 2426, 2413, 2412, + 2398, 2399, 2408, 2409, 2373, 2372, 2415, 2414, 2405, 2404, 2419, 2418, 2424, 2425, 2391, 2390, 2430, 2431, 2377, 2376, 2420, 2421, 2407, 2406, 2397, 2396, 2400, 2401, 2382, 2383, + 2387, 2386, 2369, 2368, 2402, 2403, 2394, 2395, 2428, 2429, 2378, 2379, 2393, 2392, 2375, 2374, 2416, 2417, 2410, 2411, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, + 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, + 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2880, 2881, 2882, 2883, 2884, 2885, + 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, + 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 1773, 1772, + 1781, 1780, 1762, 1763, 1758, 1759, 1753, 1752, 1751, 1750, 1731, 1730, 1747, 1746, 1776, 1777, 1744, 1745, 1755, 1754, 1736, 1737, 1789, 1788, 1735, 1734, 1784, 1785, 1768, 1769, + 1786, 1787, 1766, 1767, 1741, 1740, 1749, 1748, 1733, 1732, 1728, 1729, 1739, 1738, 1782, 1783, 1757, 1756, 1761, 1760, 1791, 1790, 1742, 1743, 1774, 1775, 1765, 1764, 1771, 1770, + 1778, 1779, 2865, 2864, 2855, 2854, 2879, 2878, 2863, 2862, 2874, 2875, 2819, 2818, 2823, 2822, 2817, 2816, 2847, 2846, 2827, 2826, 2869, 2868, 2835, 2834, 2852, 2853, 2845, 2844, + 2857, 2856, 2873, 2872, 2859, 2858, 2849, 2848, 2824, 2825, 2829, 2828, 2870, 2871, 2867, 2866, 2831, 2830, 2839, 2838, 2821, 2820, 2877, 2876, 2861, 2860, 2841, 2840, 2851, 2850, + 2843, 2842, 2833, 2832, 2837, 2836, 2151, 2150, 2115, 2114, 2136, 2137, 2119, 2118, 2134, 2135, 2146, 2147, 2127, 2126, 2125, 2124, 2129, 2128, 2141, 2140, 2142, 2143, 2120, 2121, + 2116, 2117, 2139, 2138, 2131, 2130, 2132, 2133, 2158, 2159, 2122, 2123, 2168, 2169, 2113, 2112, 2154, 2155, 2152, 2153, 2157, 2156, 2144, 2145, 2161, 2160, 2174, 2175, 2166, 2167, + 2164, 2165, 2148, 2149, 2171, 2170, 2173, 2172, 2162, 2163 +] +private def clayworthGen1Fwd_chunk4 : Array (Fin 4032) := #[ + 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, + 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, + 3260, 3261, 3262, 3263, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, + 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, + 312, 313, 314, 315, 316, 317, 318, 319, 618, 619, 589, 588, 617, 616, 603, 602, 598, 599, 621, 620, 613, 612, 630, 631, 594, 595, 591, 590, 615, 614, + 587, 586, 585, 584, 597, 596, 625, 624, 582, 583, 627, 626, 580, 581, 635, 634, 610, 611, 606, 607, 637, 636, 577, 576, 632, 633, 592, 593, 638, 639, + 579, 578, 622, 623, 604, 605, 608, 609, 601, 600, 629, 628, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, + 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, + 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 2569, 2568, 2622, 2623, 2591, 2590, 2585, 2584, 2601, 2600, 2564, 2565, 2611, 2610, + 2608, 2609, 2597, 2596, 2578, 2579, 2580, 2581, 2621, 2620, 2599, 2598, 2603, 2602, 2612, 2613, 2571, 2570, 2575, 2574, 2587, 2586, 2615, 2614, 2566, 2567, 2560, 2561, 2594, 2595, + 2582, 2583, 2588, 2589, 2593, 2592, 2616, 2617, 2606, 2607, 2576, 2577, 2573, 2572, 2562, 2563, 2605, 2604, 2618, 2619, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, + 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, + 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 2774, 2775, 2770, 2771, 2761, 2760, + 2758, 2759, 2791, 2790, 2813, 2812, 2814, 2815, 2798, 2799 +] +private def clayworthGen1Fwd_chunk5 : Array (Fin 4032) := #[ + 2808, 2809, 2780, 2781, 2783, 2782, 2777, 2776, 2753, 2752, 2792, 2793, 2754, 2755, 2797, 2796, 2765, 2764, 2763, 2762, 2769, 2768, 2756, 2757, 2795, 2794, 2779, 2778, 2772, 2773, + 2803, 2802, 2800, 2801, 2767, 2766, 2810, 2811, 2805, 2804, 2789, 2788, 2807, 2806, 2786, 2787, 2785, 2784, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, + 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, + 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, + 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, + 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 1906, 1907, 1890, 1891, + 1905, 1904, 1888, 1889, 1913, 1912, 1859, 1858, 1864, 1865, 1886, 1887, 1866, 1867, 1857, 1856, 1869, 1868, 1871, 1870, 1914, 1915, 1909, 1908, 1898, 1899, 1892, 1893, 1917, 1916, + 1873, 1872, 1879, 1878, 1885, 1884, 1875, 1874, 1918, 1919, 1910, 1911, 1863, 1862, 1880, 1881, 1896, 1897, 1901, 1900, 1882, 1883, 1876, 1877, 1861, 1860, 1902, 1903, 1895, 1894, + 3378, 3379, 3362, 3363, 3377, 3376, 3360, 3361, 3385, 3384, 3331, 3330, 3336, 3337, 3358, 3359, 3338, 3339, 3329, 3328, 3341, 3340, 3343, 3342, 3386, 3387, 3381, 3380, 3370, 3371, + 3364, 3365, 3389, 3388, 3345, 3344, 3351, 3350, 3357, 3356, 3347, 3346, 3390, 3391, 3382, 3383, 3335, 3334, 3352, 3353, 3368, 3369, 3373, 3372, 3354, 3355, 3348, 3349, 3333, 3332, + 3374, 3375, 3367, 3366, 2104, 2105, 2075, 2074, 2080, 2081, 2063, 2062, 2060, 2061, 2111, 2110, 2089, 2088, 2059, 2058, 2052, 2053, 2056, 2057, 2098, 2099, 2097, 2096, 2050, 2051, + 2095, 2094, 2082, 2083, 2103, 2102, 2092, 2093, 2084, 2085, 2108, 2109, 2101, 2100, 2067, 2066, 2106, 2107, 2064, 2065, 2072, 2073, 2087, 2086, 2048, 2049, 2071, 2070, 2091, 2090, + 2068, 2069, 2078, 2079, 2076, 2077, 2055, 2054, 3189, 3188, 3177, 3176, 3155, 3154, 3199, 3198, 3184, 3185, 3173, 3172, 3147, 3146, 3163, 3162, 3136, 3137, 3196, 3197, 3195, 3194, + 3183, 3182, 3187, 3186, 3149, 3148, 3160, 3161, 3169, 3168 +] +private def clayworthGen1Fwd_chunk6 : Array (Fin 4032) := #[ + 3145, 3144, 3150, 3151, 3181, 3180, 3152, 3153, 3190, 3191, 3138, 3139, 3192, 3193, 3157, 3156, 3159, 3158, 3142, 3143, 3178, 3179, 3174, 3175, 3171, 3170, 3166, 3167, 3164, 3165, + 3141, 3140, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, + 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, + 3770, 3771, 3772, 3773, 3774, 3775, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, + 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, + 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 2226, 2227, 2200, 2201, 2192, 2193, 2239, 2238, 2194, 2195, 2191, 2190, 2184, 2185, 2183, 2182, 2220, 2221, 2217, 2216, + 2232, 2233, 2229, 2228, 2222, 2223, 2179, 2178, 2236, 2237, 2234, 2235, 2180, 2181, 2204, 2205, 2210, 2211, 2225, 2224, 2189, 2188, 2231, 2230, 2208, 2209, 2203, 2202, 2199, 2198, + 2196, 2197, 2215, 2214, 2207, 2206, 2176, 2177, 2218, 2219, 2212, 2213, 2187, 2186, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, + 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, + 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, + 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, + 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, + 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, + 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887 +] +private def clayworthGen1Fwd_chunk7 : Array (Fin 4032) := #[ + 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, + 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, + 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 3094, 3095, 3090, 3091, 3081, 3080, 3078, 3079, 3111, 3110, + 3133, 3132, 3134, 3135, 3118, 3119, 3128, 3129, 3100, 3101, 3103, 3102, 3097, 3096, 3073, 3072, 3112, 3113, 3074, 3075, 3117, 3116, 3085, 3084, 3083, 3082, 3089, 3088, 3076, 3077, + 3115, 3114, 3099, 3098, 3092, 3093, 3123, 3122, 3120, 3121, 3087, 3086, 3130, 3131, 3125, 3124, 3109, 3108, 3127, 3126, 3106, 3107, 3105, 3104, 3469, 3468, 3498, 3499, 3471, 3470, + 3505, 3504, 3507, 3506, 3515, 3514, 3457, 3456, 3461, 3460, 3487, 3486, 3497, 3496, 3512, 3513, 3488, 3489, 3518, 3519, 3485, 3484, 3483, 3482, 3473, 3472, 3478, 3479, 3511, 3510, + 3501, 3500, 3503, 3502, 3475, 3474, 3458, 3459, 3493, 3492, 3495, 3494, 3463, 3462, 3465, 3464, 3516, 3517, 3491, 3490, 3476, 3477, 3467, 3466, 3508, 3509, 3480, 3481, 3434, 3435, + 3405, 3404, 3433, 3432, 3419, 3418, 3414, 3415, 3437, 3436, 3429, 3428, 3446, 3447, 3410, 3411, 3407, 3406, 3431, 3430, 3403, 3402, 3401, 3400, 3413, 3412, 3441, 3440, 3398, 3399, + 3443, 3442, 3396, 3397, 3451, 3450, 3426, 3427, 3422, 3423, 3453, 3452, 3393, 3392, 3448, 3449, 3408, 3409, 3454, 3455, 3395, 3394, 3438, 3439, 3420, 3421, 3424, 3425, 3417, 3416, + 3445, 3444, 1369, 1368, 1372, 1373, 1382, 1383, 1350, 1351, 1349, 1348, 1379, 1378, 1377, 1376, 1395, 1394, 1381, 1380, 1346, 1347, 1388, 1389, 1344, 1345, 1367, 1366, 1387, 1386, + 1362, 1363, 1365, 1364, 1407, 1406, 1404, 1405, 1401, 1400, 1353, 1352, 1370, 1371, 1385, 1384, 1375, 1374, 1358, 1359, 1392, 1393, 1391, 1390, 1399, 1398, 1403, 1402, 1360, 1361, + 1396, 1397, 1355, 1354, 1356, 1357, 1225, 1224, 1278, 1279, 1247, 1246, 1241, 1240, 1257, 1256, 1220, 1221, 1267, 1266, 1264, 1265, 1253, 1252, 1234, 1235, 1236, 1237, 1277, 1276, + 1255, 1254, 1259, 1258, 1268, 1269, 1227, 1226, 1231, 1230, 1243, 1242, 1271, 1270, 1222, 1223, 1216, 1217, 1250, 1251, 1238, 1239, 1244, 1245, 1249, 1248, 1272, 1273, 1262, 1263, + 1232, 1233, 1229, 1228, 1218, 1219, 1261, 1260, 1274, 1275 +] +private def clayworthGen1Fwd_chunk8 : Array (Fin 4032) := #[ + 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, + 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, + 700, 701, 702, 703, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, + 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, + 824, 825, 826, 827, 828, 829, 830, 831, 979, 978, 971, 970, 1019, 1018, 1007, 1006, 972, 973, 976, 977, 981, 980, 983, 982, 995, 994, 1001, 1000, 1016, 1017, + 997, 996, 1008, 1009, 1014, 1015, 999, 998, 974, 975, 966, 967, 962, 963, 990, 991, 1023, 1022, 1010, 1011, 988, 989, 1013, 1012, 1020, 1021, 965, 964, 960, 961, + 987, 986, 1004, 1005, 969, 968, 984, 985, 993, 992, 1002, 1003, 3948, 3949, 3922, 3923, 3904, 3905, 3942, 3943, 3928, 3929, 3926, 3927, 3906, 3907, 3956, 3957, 3954, 3955, + 3950, 3951, 3908, 3909, 3910, 3911, 3945, 3944, 3913, 3912, 3962, 3963, 3964, 3965, 3960, 3961, 3934, 3935, 3959, 3958, 3914, 3915, 3930, 3931, 3938, 3939, 3924, 3925, 3916, 3917, + 3918, 3919, 3936, 3937, 3966, 3967, 3933, 3932, 3920, 3921, 3940, 3941, 3946, 3947, 3952, 3953, 3672, 3673, 3663, 3662, 3678, 3679, 3656, 3657, 3674, 3675, 3649, 3648, 3680, 3681, + 3697, 3696, 3684, 3685, 3651, 3650, 3693, 3692, 3682, 3683, 3670, 3671, 3690, 3691, 3701, 3700, 3658, 3659, 3710, 3711, 3688, 3689, 3707, 3706, 3655, 3654, 3653, 3652, 3709, 3708, + 3687, 3686, 3677, 3676, 3698, 3699, 3665, 3664, 3661, 3660, 3705, 3704, 3694, 3695, 3667, 3666, 3668, 3669, 3702, 3703, 2354, 2355, 2328, 2329, 2320, 2321, 2367, 2366, 2322, 2323, + 2319, 2318, 2312, 2313, 2311, 2310, 2348, 2349, 2345, 2344, 2360, 2361, 2357, 2356, 2350, 2351, 2307, 2306, 2364, 2365, 2362, 2363, 2308, 2309, 2332, 2333, 2338, 2339, 2353, 2352, + 2317, 2316, 2359, 2358, 2336, 2337, 2331, 2330, 2327, 2326, 2324, 2325, 2343, 2342, 2335, 2334, 2304, 2305, 2346, 2347, 2340, 2341, 2315, 2314, 1575, 1574, 1539, 1538, 1560, 1561, + 1543, 1542, 1558, 1559, 1570, 1571, 1551, 1550, 1549, 1548 +] +private def clayworthGen1Fwd_chunk9 : Array (Fin 4032) := #[ + 1553, 1552, 1565, 1564, 1566, 1567, 1544, 1545, 1540, 1541, 1563, 1562, 1555, 1554, 1556, 1557, 1582, 1583, 1546, 1547, 1592, 1593, 1537, 1536, 1578, 1579, 1576, 1577, 1581, 1580, + 1568, 1569, 1585, 1584, 1598, 1599, 1590, 1591, 1588, 1589, 1572, 1573, 1595, 1594, 1597, 1596, 1586, 1587, 3002, 3003, 2984, 2985, 2962, 2963, 2990, 2991, 2993, 2992, 2961, 2960, + 3005, 3004, 2987, 2986, 2952, 2953, 2954, 2955, 2996, 2997, 3006, 3007, 2957, 2956, 2995, 2994, 2982, 2983, 2959, 2958, 2945, 2944, 2976, 2977, 2975, 2974, 2980, 2981, 2999, 2998, + 2973, 2972, 3001, 3000, 2964, 2965, 2948, 2949, 2951, 2950, 2970, 2971, 2968, 2969, 2978, 2979, 2988, 2989, 2947, 2946, 2966, 2967, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, + 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, + 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1152, 1153, 1154, 1155, + 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, + 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, + 2009, 2008, 2012, 2013, 2022, 2023, 1990, 1991, 1989, 1988, 2019, 2018, 2017, 2016, 2035, 2034, 2021, 2020, 1986, 1987, 2028, 2029, 1984, 1985, 2007, 2006, 2027, 2026, 2002, 2003, + 2005, 2004, 2047, 2046, 2044, 2045, 2041, 2040, 1993, 1992, 2010, 2011, 2025, 2024, 2015, 2014, 1998, 1999, 2032, 2033, 2031, 2030, 2039, 2038, 2043, 2042, 2000, 2001, 2036, 2037, + 1995, 1994, 1996, 1997, 3042, 3043, 3011, 3010, 3035, 3034, 3016, 3017, 3014, 3015, 3029, 3028, 3062, 3063, 3037, 3036, 3054, 3055, 3061, 3060, 3019, 3018, 3031, 3030, 3033, 3032, + 3013, 3012, 3023, 3022, 3046, 3047, 3041, 3040, 3008, 3009, 3045, 3044, 3038, 3039, 3068, 3069, 3051, 3050, 3053, 3052, 3024, 3025, 3058, 3059, 3056, 3057, 3027, 3026, 3020, 3021, + 3066, 3067, 3064, 3065, 3048, 3049, 3071, 3070, 1487, 1486, 1483, 1482, 1521, 1520, 1485, 1484, 1508, 1509, 1491, 1490, 1511, 1510, 1517, 1516, 1533, 1532, 1495, 1494, 1535, 1534, + 1519, 1518, 1527, 1526, 1531, 1530, 1499, 1498, 1489, 1488 +] +private def clayworthGen1Fwd_chunk10 : Array (Fin 4032) := #[ + 1507, 1506, 1529, 1528, 1496, 1497, 1475, 1474, 1501, 1500, 1505, 1504, 1525, 1524, 1479, 1478, 1473, 1472, 1515, 1514, 1493, 1492, 1512, 1513, 1503, 1502, 1480, 1481, 1523, 1522, + 1477, 1476 +] +private def clayworthGen1Fwd : Array (Fin 4032) := + clayworthGen1Fwd_chunk0 ++ clayworthGen1Fwd_chunk1 ++ clayworthGen1Fwd_chunk2 ++ clayworthGen1Fwd_chunk3 ++ clayworthGen1Fwd_chunk4 ++ clayworthGen1Fwd_chunk5 ++ clayworthGen1Fwd_chunk6 ++ clayworthGen1Fwd_chunk7 ++ clayworthGen1Fwd_chunk8 ++ clayworthGen1Fwd_chunk9 ++ clayworthGen1Fwd_chunk10 +private theorem clayworthGen1Fwd_size : clayworthGen1Fwd.size = 4032 := by native_decide + +private def clayworthGen1Inv_chunk0 : Array (Fin 4032) := #[ + 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, + 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, + 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, + 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, + 56, 57, 58, 59, 60, 61, 62, 63, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, + 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, + 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, + 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, + 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, + 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, + 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, + 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, + 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 128, 129, 130, 131, 132, 133, + 134, 135, 136, 137, 138, 139, 140, 141, 142, 143 +] +private def clayworthGen1Inv_chunk1 : Array (Fin 4032) := #[ + 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, + 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, + 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, + 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, + 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, + 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 1773, 1772, 1781, 1780, + 1762, 1763, 1758, 1759, 1753, 1752, 1751, 1750, 1731, 1730, 1747, 1746, 1776, 1777, 1744, 1745, 1755, 1754, 1736, 1737, 1789, 1788, 1735, 1734, 1784, 1785, 1768, 1769, 1786, 1787, + 1766, 1767, 1741, 1740, 1749, 1748, 1733, 1732, 1728, 1729, 1739, 1738, 1782, 1783, 1757, 1756, 1761, 1760, 1791, 1790, 1742, 1743, 1774, 1775, 1765, 1764, 1771, 1770, 1778, 1779, + 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, + 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, + 3260, 3261, 3262, 3263, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, + 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, + 312, 313, 314, 315, 316, 317, 318, 319, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, + 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295 +] +private def clayworthGen1Inv_chunk2 : Array (Fin 4032) := #[ + 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, + 3326, 3327, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, + 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, + 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, + 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, + 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 3378, 3379, 3362, 3363, 3377, 3376, 3360, 3361, 3385, 3384, 3331, 3330, 3336, 3337, 3358, 3359, 3338, 3339, 3329, 3328, + 3341, 3340, 3343, 3342, 3386, 3387, 3381, 3380, 3370, 3371, 3364, 3365, 3389, 3388, 3345, 3344, 3351, 3350, 3357, 3356, 3347, 3346, 3390, 3391, 3382, 3383, 3335, 3334, 3352, 3353, + 3368, 3369, 3373, 3372, 3354, 3355, 3348, 3349, 3333, 3332, 3374, 3375, 3367, 3366, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, + 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, + 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, + 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, + 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, + 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, + 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823 +] +private def clayworthGen1Inv_chunk3 : Array (Fin 4032) := #[ + 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3176, 3177, 3194, 3195, 3146, 3147, 3174, 3175, 3137, 3136, 3167, 3166, 3193, 3192, + 3169, 3168, 3190, 3191, 3154, 3155, 3156, 3157, 3180, 3181, 3143, 3142, 3171, 3170, 3182, 3183, 3141, 3140, 3185, 3184, 3178, 3179, 3153, 3152, 3161, 3160, 3145, 3144, 3163, 3162, + 3197, 3196, 3188, 3189, 3150, 3151, 3149, 3148, 3164, 3165, 3173, 3172, 3186, 3187, 3198, 3199, 3159, 3158, 3138, 3139, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, + 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, + 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 3094, 3095, 3090, 3091, 3081, 3080, + 3078, 3079, 3111, 3110, 3133, 3132, 3134, 3135, 3118, 3119, 3128, 3129, 3100, 3101, 3103, 3102, 3097, 3096, 3073, 3072, 3112, 3113, 3074, 3075, 3117, 3116, 3085, 3084, 3083, 3082, + 3089, 3088, 3076, 3077, 3115, 3114, 3099, 3098, 3092, 3093, 3123, 3122, 3120, 3121, 3087, 3086, 3130, 3131, 3125, 3124, 3109, 3108, 3127, 3126, 3106, 3107, 3105, 3104, 576, 577, + 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, + 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, + 638, 639, 4017, 4016, 4007, 4006, 4031, 4030, 4015, 4014, 4026, 4027, 3971, 3970, 3975, 3974, 3969, 3968, 3999, 3998, 3979, 3978, 4021, 4020, 3987, 3986, 4004, 4005, 3997, 3996, + 4009, 4008, 4025, 4024, 4011, 4010, 4001, 4000, 3976, 3977, 3981, 3980, 4022, 4023, 4019, 4018, 3983, 3982, 3991, 3990, 3973, 3972, 4029, 4028, 4013, 4012, 3993, 3992, 4003, 4002, + 3995, 3994, 3985, 3984, 3989, 3988, 3623, 3622, 3587, 3586, 3608, 3609, 3591, 3590, 3606, 3607, 3618, 3619, 3599, 3598, 3597, 3596, 3601, 3600, 3613, 3612, 3614, 3615, 3592, 3593, + 3588, 3589, 3611, 3610, 3603, 3602, 3604, 3605, 3630, 3631, 3594, 3595, 3640, 3641, 3585, 3584, 3626, 3627, 3624, 3625, 3629, 3628, 3616, 3617, 3633, 3632, 3646, 3647, 3638, 3639, + 3636, 3637, 3620, 3621, 3643, 3642, 3645, 3644, 3634, 3635 +] +private def clayworthGen1Inv_chunk4 : Array (Fin 4032) := #[ + 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, + 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, + 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, + 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, + 760, 761, 762, 763, 764, 765, 766, 767, 1450, 1451, 1421, 1420, 1449, 1448, 1435, 1434, 1430, 1431, 1453, 1452, 1445, 1444, 1462, 1463, 1426, 1427, 1423, 1422, 1447, 1446, + 1419, 1418, 1417, 1416, 1429, 1428, 1457, 1456, 1414, 1415, 1459, 1458, 1412, 1413, 1467, 1466, 1442, 1443, 1438, 1439, 1469, 1468, 1409, 1408, 1464, 1465, 1424, 1425, 1470, 1471, + 1411, 1410, 1454, 1455, 1436, 1437, 1440, 1441, 1433, 1432, 1461, 1460, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, + 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, + 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 2195, 2194, 2187, 2186, 2235, 2234, 2223, 2222, 2188, 2189, 2192, 2193, 2197, 2196, + 2199, 2198, 2211, 2210, 2217, 2216, 2232, 2233, 2213, 2212, 2224, 2225, 2230, 2231, 2215, 2214, 2190, 2191, 2182, 2183, 2178, 2179, 2206, 2207, 2239, 2238, 2226, 2227, 2204, 2205, + 2229, 2228, 2236, 2237, 2181, 2180, 2176, 2177, 2203, 2202, 2220, 2221, 2185, 2184, 2200, 2201, 2209, 2208, 2218, 2219, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, + 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, + 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 3862, 3863, 3858, 3859, 3849, 3848, + 3846, 3847, 3879, 3878, 3901, 3900, 3902, 3903, 3886, 3887 +] +private def clayworthGen1Inv_chunk5 : Array (Fin 4032) := #[ + 3896, 3897, 3868, 3869, 3871, 3870, 3865, 3864, 3841, 3840, 3880, 3881, 3842, 3843, 3885, 3884, 3853, 3852, 3851, 3850, 3857, 3856, 3844, 3845, 3883, 3882, 3867, 3866, 3860, 3861, + 3891, 3890, 3888, 3889, 3855, 3854, 3898, 3899, 3893, 3892, 3877, 3876, 3895, 3894, 3874, 3875, 3873, 3872, 2354, 2355, 2328, 2329, 2320, 2321, 2367, 2366, 2322, 2323, 2319, 2318, + 2312, 2313, 2311, 2310, 2348, 2349, 2345, 2344, 2360, 2361, 2357, 2356, 2350, 2351, 2307, 2306, 2364, 2365, 2362, 2363, 2308, 2309, 2332, 2333, 2338, 2339, 2353, 2352, 2317, 2316, + 2359, 2358, 2336, 2337, 2331, 2330, 2327, 2326, 2324, 2325, 2343, 2342, 2335, 2334, 2304, 2305, 2346, 2347, 2340, 2341, 2315, 2314, 1575, 1574, 1539, 1538, 1560, 1561, 1543, 1542, + 1558, 1559, 1570, 1571, 1551, 1550, 1549, 1548, 1553, 1552, 1565, 1564, 1566, 1567, 1544, 1545, 1540, 1541, 1563, 1562, 1555, 1554, 1556, 1557, 1582, 1583, 1546, 1547, 1592, 1593, + 1537, 1536, 1578, 1579, 1576, 1577, 1581, 1580, 1568, 1569, 1585, 1584, 1598, 1599, 1590, 1591, 1588, 1589, 1572, 1573, 1595, 1594, 1597, 1596, 1586, 1587, 2616, 2617, 2587, 2586, + 2592, 2593, 2575, 2574, 2572, 2573, 2623, 2622, 2601, 2600, 2571, 2570, 2564, 2565, 2568, 2569, 2610, 2611, 2609, 2608, 2562, 2563, 2607, 2606, 2594, 2595, 2615, 2614, 2604, 2605, + 2596, 2597, 2620, 2621, 2613, 2612, 2579, 2578, 2618, 2619, 2576, 2577, 2584, 2585, 2599, 2598, 2560, 2561, 2583, 2582, 2603, 2602, 2580, 2581, 2590, 2591, 2588, 2589, 2567, 2566, + 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, + 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, + 1020, 1021, 1022, 1023, 3576, 3577, 3547, 3546, 3552, 3553, 3535, 3534, 3532, 3533, 3583, 3582, 3561, 3560, 3531, 3530, 3524, 3525, 3528, 3529, 3570, 3571, 3569, 3568, 3522, 3523, + 3567, 3566, 3554, 3555, 3575, 3574, 3564, 3565, 3556, 3557, 3580, 3581, 3573, 3572, 3539, 3538, 3578, 3579, 3536, 3537, 3544, 3545, 3559, 3558, 3520, 3521, 3543, 3542, 3563, 3562, + 3540, 3541, 3550, 3551, 3548, 3549, 3527, 3526, 1263, 1262, 1217, 1216, 1235, 1234, 1275, 1274, 1249, 1248, 1270, 1271, 1221, 1220, 1258, 1259, 1225, 1224, 1261, 1260, 1219, 1218, + 1245, 1244, 1273, 1272, 1266, 1267, 1255, 1254, 1230, 1231 +] +private def clayworthGen1Inv_chunk6 : Array (Fin 4032) := #[ + 1256, 1257, 1264, 1265, 1239, 1238, 1253, 1252, 1232, 1233, 1278, 1279, 1229, 1228, 1237, 1236, 1276, 1277, 1241, 1240, 1250, 1251, 1222, 1223, 1242, 1243, 1227, 1226, 1268, 1269, + 1246, 1247, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, + 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, + 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, + 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, + 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1896, 1897, 1914, 1915, 1866, 1867, 1894, 1895, 1857, 1856, 1887, 1886, 1913, 1912, 1889, 1888, 1910, 1911, 1874, 1875, + 1876, 1877, 1900, 1901, 1863, 1862, 1891, 1890, 1902, 1903, 1861, 1860, 1905, 1904, 1898, 1899, 1873, 1872, 1881, 1880, 1865, 1864, 1883, 1882, 1917, 1916, 1908, 1909, 1870, 1871, + 1869, 1868, 1884, 1885, 1893, 1892, 1906, 1907, 1918, 1919, 1879, 1878, 1858, 1859, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, + 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, + 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, + 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, + 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 2009, 2008, 2012, 2013, 2022, 2023, 1990, 1991, + 1989, 1988, 2019, 2018, 2017, 2016, 2035, 2034, 2021, 2020, 1986, 1987, 2028, 2029, 1984, 1985, 2007, 2006, 2027, 2026, 2002, 2003, 2005, 2004, 2047, 2046, 2044, 2045, 2041, 2040, + 1993, 1992, 2010, 2011, 2025, 2024, 2015, 2014, 1998, 1999 +] +private def clayworthGen1Inv_chunk7 : Array (Fin 4032) := #[ + 2032, 2033, 2031, 2030, 2039, 2038, 2043, 2042, 2000, 2001, 2036, 2037, 1995, 1994, 1996, 1997, 1487, 1486, 1483, 1482, 1521, 1520, 1485, 1484, 1508, 1509, 1491, 1490, 1511, 1510, + 1517, 1516, 1533, 1532, 1495, 1494, 1535, 1534, 1519, 1518, 1527, 1526, 1531, 1530, 1499, 1498, 1489, 1488, 1507, 1506, 1529, 1528, 1496, 1497, 1475, 1474, 1501, 1500, 1505, 1504, + 1525, 1524, 1479, 1478, 1473, 1472, 1515, 1514, 1493, 1492, 1512, 1513, 1503, 1502, 1480, 1481, 1523, 1522, 1477, 1476, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, + 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, + 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 3681, 3680, 3709, 3708, 3696, 3697, + 3699, 3698, 3664, 3665, 3666, 3667, 3673, 3672, 3679, 3678, 3659, 3658, 3652, 3653, 3694, 3695, 3710, 3711, 3702, 3703, 3700, 3701, 3691, 3690, 3685, 3684, 3682, 3683, 3704, 3705, + 3686, 3687, 3676, 3677, 3650, 3651, 3663, 3662, 3706, 3707, 3654, 3655, 3657, 3656, 3675, 3674, 3668, 3669, 3689, 3688, 3693, 3692, 3648, 3649, 3661, 3660, 3670, 3671, 3938, 3939, + 3907, 3906, 3931, 3930, 3912, 3913, 3910, 3911, 3925, 3924, 3958, 3959, 3933, 3932, 3950, 3951, 3957, 3956, 3915, 3914, 3927, 3926, 3929, 3928, 3909, 3908, 3919, 3918, 3942, 3943, + 3937, 3936, 3904, 3905, 3941, 3940, 3934, 3935, 3964, 3965, 3947, 3946, 3949, 3948, 3920, 3921, 3954, 3955, 3952, 3953, 3923, 3922, 3916, 3917, 3962, 3963, 3960, 3961, 3944, 3945, + 3967, 3966, 2905, 2904, 2908, 2909, 2918, 2919, 2886, 2887, 2885, 2884, 2915, 2914, 2913, 2912, 2931, 2930, 2917, 2916, 2882, 2883, 2924, 2925, 2880, 2881, 2903, 2902, 2923, 2922, + 2898, 2899, 2901, 2900, 2943, 2942, 2940, 2941, 2937, 2936, 2889, 2888, 2906, 2907, 2921, 2920, 2911, 2910, 2894, 2895, 2928, 2929, 2927, 2926, 2935, 2934, 2939, 2938, 2896, 2897, + 2932, 2933, 2891, 2890, 2892, 2893, 2384, 2385, 2410, 2411, 2431, 2430, 2418, 2419, 2401, 2400, 2381, 2380, 2395, 2394, 2402, 2403, 2406, 2407, 2373, 2372, 2415, 2414, 2417, 2416, + 2396, 2397, 2383, 2382, 2428, 2429, 2426, 2427, 2399, 2398, 2425, 2424, 2379, 2378, 2422, 2423, 2371, 2370, 2420, 2421, 2405, 2404, 2391, 2390, 2376, 2377, 2393, 2392, 2369, 2368, + 2408, 2409, 2412, 2413, 2389, 2388, 2386, 2387, 2375, 2374 +] +private def clayworthGen1Inv_chunk8 : Array (Fin 4032) := #[ + 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, + 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, + 1660, 1661, 1662, 1663, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, + 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, + 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 2259, 2258, 2251, 2250, 2299, 2298, 2287, 2286, 2252, 2253, 2256, 2257, 2261, 2260, 2263, 2262, 2275, 2274, 2281, 2280, 2296, 2297, + 2277, 2276, 2288, 2289, 2294, 2295, 2279, 2278, 2254, 2255, 2246, 2247, 2242, 2243, 2270, 2271, 2303, 2302, 2290, 2291, 2268, 2269, 2293, 2292, 2300, 2301, 2245, 2244, 2240, 2241, + 2267, 2266, 2284, 2285, 2249, 2248, 2264, 2265, 2273, 2272, 2282, 2283, 3053, 3052, 3061, 3060, 3042, 3043, 3038, 3039, 3033, 3032, 3031, 3030, 3011, 3010, 3027, 3026, 3056, 3057, + 3024, 3025, 3035, 3034, 3016, 3017, 3069, 3068, 3015, 3014, 3064, 3065, 3048, 3049, 3066, 3067, 3046, 3047, 3021, 3020, 3029, 3028, 3013, 3012, 3008, 3009, 3019, 3018, 3062, 3063, + 3037, 3036, 3041, 3040, 3071, 3070, 3022, 3023, 3054, 3055, 3045, 3044, 3051, 3050, 3058, 3059, 2957, 2956, 2986, 2987, 2959, 2958, 2993, 2992, 2995, 2994, 3003, 3002, 2945, 2944, + 2949, 2948, 2975, 2974, 2985, 2984, 3000, 3001, 2976, 2977, 3006, 3007, 2973, 2972, 2971, 2970, 2961, 2960, 2966, 2967, 2999, 2998, 2989, 2988, 2991, 2990, 2963, 2962, 2946, 2947, + 2981, 2980, 2983, 2982, 2951, 2950, 2953, 2952, 3004, 3005, 2979, 2978, 2964, 2965, 2955, 2954, 2996, 2997, 2968, 2969, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, + 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, + 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, + 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127 +] +private def clayworthGen1Inv_chunk9 : Array (Fin 4032) := #[ + 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, + 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 3467, 3466, 3475, 3474, 3497, 3496, 3495, 3494, 3462, 3463, 3486, 3487, + 3509, 3508, 3459, 3458, 3507, 3506, 3515, 3514, 3516, 3517, 3480, 3481, 3456, 3457, 3464, 3465, 3503, 3502, 3460, 3461, 3468, 3469, 3478, 3479, 3472, 3473, 3501, 3500, 3490, 3491, + 3482, 3483, 3477, 3476, 3512, 3513, 3471, 3470, 3504, 3505, 3485, 3484, 3518, 3519, 3511, 3510, 3493, 3492, 3499, 3498, 3488, 3489, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, + 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, + 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2624, 2625, 2626, 2627, + 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, + 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, + 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, + 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, + 2812, 2813, 2814, 2815, 3396, 3397, 3404, 3405, 3412, 3413, 3414, 3415, 3419, 3418, 3430, 3431, 3438, 3439, 3440, 3441, 3448, 3449, 3394, 3395, 3436, 3437, 3402, 3403, 3400, 3401, + 3432, 3433, 3447, 3446, 3426, 3427, 3442, 3443, 3434, 3435, 3450, 3451, 3398, 3399, 3417, 3416, 3452, 3453, 3392, 3393, 3410, 3411, 3454, 3455, 3408, 3409, 3406, 3407, 3429, 3428, + 3424, 3425, 3420, 3421, 3422, 3423, 3444, 3445, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, + 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847 +] +private def clayworthGen1Inv_chunk10 : Array (Fin 4032) := #[ + 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, + 2878, 2879 +] +private def clayworthGen1Inv : Array (Fin 4032) := + clayworthGen1Inv_chunk0 ++ clayworthGen1Inv_chunk1 ++ clayworthGen1Inv_chunk2 ++ clayworthGen1Inv_chunk3 ++ clayworthGen1Inv_chunk4 ++ clayworthGen1Inv_chunk5 ++ clayworthGen1Inv_chunk6 ++ clayworthGen1Inv_chunk7 ++ clayworthGen1Inv_chunk8 ++ clayworthGen1Inv_chunk9 ++ clayworthGen1Inv_chunk10 +private theorem clayworthGen1Inv_size : clayworthGen1Inv.size = 4032 := by native_decide + +private def clayworthGen2Fwd_chunk0 : Array (Fin 4032) := #[ + 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, + 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, + 572, 573, 574, 575, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, + 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, + 824, 825, 826, 827, 828, 829, 830, 831, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, + 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, + 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, + 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, + 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 373, 372, 365, 364, 336, 337, 376, 377, 378, 379, 333, 332, 331, 330, + 359, 358, 324, 325, 354, 355, 374, 375, 357, 356, 353, 352, 367, 366, 350, 351, 348, 349, 345, 344, 338, 339, 343, 342, 335, 334, 369, 368, 382, 383, + 323, 322, 347, 346, 361, 360, 381, 380, 321, 320, 340, 341, 326, 327, 328, 329, 371, 370, 362, 363, 303, 302, 257, 256, 275, 274, 315, 314, 289, 288, + 310, 311, 261, 260, 298, 299, 265, 264, 301, 300, 259, 258, 285, 284, 313, 312, 306, 307, 295, 294, 270, 271, 296, 297, 304, 305, 279, 278, 293, 292, + 272, 273, 318, 319, 269, 268, 277, 276, 316, 317, 281, 280, 290, 291, 262, 263, 282, 283, 267, 266, 308, 309, 286, 287, 2368, 2369, 2370, 2371, 2372, 2373, + 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383 +] +private def clayworthGen2Fwd_chunk1 : Array (Fin 4032) := #[ + 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, + 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 1214, 1215, 1162, 1163, 1200, 1201, 1198, 1199, 1189, 1188, 1154, 1155, + 1174, 1175, 1172, 1173, 1186, 1187, 1190, 1191, 1166, 1167, 1164, 1165, 1211, 1210, 1207, 1206, 1192, 1193, 1208, 1209, 1212, 1213, 1168, 1169, 1161, 1160, 1170, 1171, 1180, 1181, + 1202, 1203, 1204, 1205, 1158, 1159, 1156, 1157, 1194, 1195, 1196, 1197, 1179, 1178, 1182, 1183, 1177, 1176, 1184, 1185, 1152, 1153, 1674, 1675, 1726, 1727, 1702, 1703, 1704, 1705, + 1724, 1725, 1673, 1672, 1716, 1717, 1681, 1680, 1693, 1692, 1712, 1713, 1670, 1671, 1689, 1688, 1706, 1707, 1695, 1694, 1710, 1711, 1669, 1668, 1701, 1700, 1685, 1684, 1666, 1667, + 1690, 1691, 1699, 1698, 1709, 1708, 1686, 1687, 1678, 1679, 1721, 1720, 1723, 1722, 1715, 1714, 1683, 1682, 1718, 1719, 1676, 1677, 1665, 1664, 1697, 1696, 3072, 3073, 3074, 3075, + 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, + 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, + 443, 442, 426, 427, 413, 412, 416, 417, 432, 433, 400, 401, 444, 445, 425, 424, 406, 407, 418, 419, 438, 439, 434, 435, 398, 399, 447, 446, 385, 384, + 396, 397, 422, 423, 430, 431, 405, 404, 440, 441, 437, 436, 402, 403, 421, 420, 414, 415, 408, 409, 390, 391, 411, 410, 388, 389, 394, 395, 429, 428, + 386, 387, 392, 393, 1778, 1779, 1762, 1763, 1777, 1776, 1760, 1761, 1785, 1784, 1731, 1730, 1736, 1737, 1758, 1759, 1738, 1739, 1729, 1728, 1741, 1740, 1743, 1742, 1786, 1787, + 1781, 1780, 1770, 1771, 1764, 1765, 1789, 1788, 1745, 1744, 1751, 1750, 1757, 1756, 1747, 1746, 1790, 1791, 1782, 1783, 1735, 1734, 1752, 1753, 1768, 1769, 1773, 1772, 1754, 1755, + 1748, 1749, 1733, 1732, 1774, 1775, 1767, 1766, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, + 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423 +] +private def clayworthGen2Fwd_chunk2 : Array (Fin 4032) := #[ + 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, + 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, + 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, + 3514, 3515, 3516, 3517, 3518, 3519, 3171, 3170, 3148, 3149, 3145, 3144, 3162, 3163, 3147, 3146, 3140, 3141, 3191, 3190, 3172, 3173, 3155, 3154, 3184, 3185, 3142, 3143, 3158, 3159, + 3177, 3176, 3156, 3157, 3150, 3151, 3175, 3174, 3192, 3193, 3181, 3180, 3164, 3165, 3179, 3178, 3197, 3196, 3166, 3167, 3136, 3137, 3187, 3186, 3153, 3152, 3189, 3188, 3182, 3183, + 3139, 3138, 3195, 3194, 3169, 3168, 3160, 3161, 3198, 3199, 3240, 3241, 3217, 3216, 3225, 3224, 3261, 3260, 3221, 3220, 3235, 3234, 3257, 3256, 3236, 3237, 3203, 3202, 3251, 3250, + 3209, 3208, 3231, 3230, 3205, 3204, 3244, 3245, 3262, 3263, 3223, 3222, 3247, 3246, 3211, 3210, 3214, 3215, 3243, 3242, 3200, 3201, 3239, 3238, 3226, 3227, 3233, 3232, 3258, 3259, + 3219, 3218, 3255, 3254, 3253, 3252, 3213, 3212, 3248, 3249, 3207, 3206, 3228, 3229, 223, 222, 194, 195, 217, 216, 201, 200, 215, 214, 192, 193, 220, 221, 247, 246, + 239, 238, 206, 207, 230, 231, 198, 199, 219, 218, 196, 197, 244, 245, 203, 202, 208, 209, 213, 212, 250, 251, 227, 226, 235, 234, 252, 253, 236, 237, + 225, 224, 243, 242, 255, 254, 204, 205, 211, 210, 229, 228, 249, 248, 233, 232, 240, 241, 2570, 2571, 2622, 2623, 2598, 2599, 2600, 2601, 2620, 2621, 2569, 2568, + 2612, 2613, 2577, 2576, 2589, 2588, 2608, 2609, 2566, 2567, 2585, 2584, 2602, 2603, 2591, 2590, 2606, 2607, 2565, 2564, 2597, 2596, 2581, 2580, 2562, 2563, 2586, 2587, 2595, 2594, + 2605, 2604, 2582, 2583, 2574, 2575, 2617, 2616, 2619, 2618, 2611, 2610, 2579, 2578, 2614, 2615, 2572, 2573, 2561, 2560, 2593, 2592, 2, 3, 0, 1, 18, 19, 28, 29, + 32, 33, 36, 37, 44, 45, 35, 34, 41, 40, 4, 5, 46, 47, 58, 59, 50, 51, 57, 56, 6, 7, 49, 48, 8, 9, 15, 14, 10, 11, + 55, 54, 17, 16, 53, 52, 12, 13, 20, 21 +] +private def clayworthGen2Fwd_chunk3 : Array (Fin 4032) := #[ + 31, 30, 24, 25, 43, 42, 39, 38, 27, 26, 22, 23, 63, 62, 61, 60, 3068, 3069, 3064, 3065, 3029, 3028, 3038, 3039, 3043, 3042, 3047, 3046, 3067, 3066, + 3040, 3041, 3020, 3021, 3061, 3060, 3019, 3018, 3053, 3052, 3017, 3016, 3009, 3008, 3024, 3025, 3034, 3035, 3059, 3058, 3051, 3050, 3055, 3054, 3032, 3033, 3015, 3014, 3012, 3013, + 3049, 3048, 3027, 3026, 3037, 3036, 3063, 3062, 3023, 3022, 3044, 3045, 3056, 3057, 3071, 3070, 3030, 3031, 3011, 3010, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, + 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, + 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 2988, 2989, 2999, 2998, 2954, 2955, + 2964, 2965, 2949, 2948, 2953, 2952, 2946, 2947, 2972, 2973, 2993, 2992, 2961, 2960, 2970, 2971, 2966, 2967, 3004, 3005, 2950, 2951, 2980, 2981, 2986, 2987, 3003, 3002, 2945, 2944, + 2958, 2959, 2975, 2974, 2969, 2968, 2983, 2982, 2979, 2978, 2996, 2997, 2962, 2963, 2991, 2990, 2995, 2994, 2957, 2956, 2976, 2977, 3001, 3000, 2985, 2984, 3006, 3007, 2458, 2459, + 2483, 2482, 2472, 2473, 2475, 2474, 2437, 2436, 2463, 2462, 2449, 2448, 2487, 2486, 2451, 2450, 2465, 2464, 2457, 2456, 2493, 2492, 2433, 2432, 2452, 2453, 2480, 2481, 2439, 2438, + 2445, 2444, 2455, 2454, 2484, 2485, 2467, 2466, 2476, 2477, 2443, 2442, 2441, 2440, 2489, 2488, 2468, 2469, 2479, 2478, 2460, 2461, 2495, 2494, 2435, 2434, 2446, 2447, 2471, 2470, + 2490, 2491, 2263, 2262, 2293, 2292, 2247, 2246, 2248, 2249, 2271, 2270, 2281, 2280, 2303, 2302, 2256, 2257, 2298, 2299, 2255, 2254, 2279, 2278, 2264, 2265, 2275, 2274, 2300, 2301, + 2243, 2242, 2284, 2285, 2295, 2294, 2260, 2261, 2287, 2286, 2267, 2266, 2282, 2283, 2244, 2245, 2251, 2250, 2289, 2288, 2290, 2291, 2268, 2269, 2296, 2297, 2258, 2259, 2276, 2277, + 2253, 2252, 2240, 2241, 2272, 2273, 2156, 2157, 2167, 2166, 2122, 2123, 2132, 2133, 2117, 2116, 2121, 2120, 2114, 2115, 2140, 2141, 2161, 2160, 2129, 2128, 2138, 2139, 2134, 2135, + 2172, 2173, 2118, 2119, 2148, 2149, 2154, 2155, 2171, 2170, 2113, 2112, 2126, 2127, 2143, 2142, 2137, 2136, 2151, 2150, 2147, 2146, 2164, 2165, 2130, 2131, 2159, 2158, 2163, 2162, + 2125, 2124, 2144, 2145, 2169, 2168, 2153, 2152, 2174, 2175 +] +private def clayworthGen2Fwd_chunk4 : Array (Fin 4032) := #[ + 620, 621, 594, 595, 576, 577, 614, 615, 600, 601, 598, 599, 578, 579, 628, 629, 626, 627, 622, 623, 580, 581, 582, 583, 617, 616, 585, 584, 634, 635, + 636, 637, 632, 633, 606, 607, 631, 630, 586, 587, 602, 603, 610, 611, 596, 597, 588, 589, 590, 591, 608, 609, 638, 639, 605, 604, 592, 593, 612, 613, + 618, 619, 624, 625, 3367, 3366, 3331, 3330, 3352, 3353, 3335, 3334, 3350, 3351, 3362, 3363, 3343, 3342, 3341, 3340, 3345, 3344, 3357, 3356, 3358, 3359, 3336, 3337, 3332, 3333, + 3355, 3354, 3347, 3346, 3348, 3349, 3374, 3375, 3338, 3339, 3384, 3385, 3329, 3328, 3370, 3371, 3368, 3369, 3373, 3372, 3360, 3361, 3377, 3376, 3390, 3391, 3382, 3383, 3380, 3381, + 3364, 3365, 3387, 3386, 3389, 3388, 3378, 3379, 2856, 2857, 2830, 2831, 2859, 2858, 2842, 2843, 2824, 2825, 2860, 2861, 2873, 2872, 2868, 2869, 2845, 2844, 2828, 2829, 2816, 2817, + 2851, 2850, 2839, 2838, 2847, 2846, 2864, 2865, 2823, 2822, 2879, 2878, 2840, 2841, 2874, 2875, 2826, 2827, 2836, 2837, 2876, 2877, 2854, 2855, 2852, 2853, 2833, 2832, 2866, 2867, + 2818, 2819, 2848, 2849, 2835, 2834, 2862, 2863, 2821, 2820, 2871, 2870, 1358, 1359, 1388, 1389, 1377, 1376, 1401, 1400, 1381, 1380, 1362, 1363, 1382, 1383, 1354, 1355, 1349, 1348, + 1375, 1374, 1372, 1373, 1402, 1403, 1360, 1361, 1390, 1391, 1379, 1378, 1398, 1399, 1371, 1370, 1357, 1356, 1350, 1351, 1396, 1397, 1406, 1407, 1393, 1392, 1346, 1347, 1369, 1368, + 1384, 1385, 1386, 1387, 1364, 1365, 1345, 1344, 1367, 1366, 1353, 1352, 1394, 1395, 1405, 1404, 1325, 1324, 1333, 1332, 1314, 1315, 1310, 1311, 1305, 1304, 1303, 1302, 1283, 1282, + 1299, 1298, 1328, 1329, 1296, 1297, 1307, 1306, 1288, 1289, 1341, 1340, 1287, 1286, 1336, 1337, 1320, 1321, 1338, 1339, 1318, 1319, 1293, 1292, 1301, 1300, 1285, 1284, 1280, 1281, + 1291, 1290, 1334, 1335, 1309, 1308, 1313, 1312, 1343, 1342, 1294, 1295, 1326, 1327, 1317, 1316, 1323, 1322, 1330, 1331, 1084, 1085, 1053, 1052, 1066, 1067, 1029, 1028, 1030, 1031, + 1069, 1068, 1083, 1082, 1043, 1042, 1038, 1039, 1078, 1079, 1058, 1059, 1025, 1024, 1046, 1047, 1063, 1062, 1074, 1075, 1033, 1032, 1086, 1087, 1049, 1048, 1080, 1081, 1045, 1044, + 1035, 1034, 1064, 1065, 1054, 1055, 1061, 1060, 1071, 1070, 1072, 1073, 1027, 1026, 1057, 1056, 1076, 1077, 1040, 1041, 1050, 1051, 1037, 1036, 1430, 1431, 1425, 1424, 1412, 1413, + 1428, 1429, 1438, 1439, 1448, 1449, 1470, 1471, 1460, 1461 +] +private def clayworthGen2Fwd_chunk5 : Array (Fin 4032) := #[ + 1440, 1441, 1444, 1445, 1451, 1450, 1469, 1468, 1453, 1452, 1433, 1432, 1463, 1462, 1442, 1443, 1411, 1410, 1416, 1417, 1456, 1457, 1418, 1419, 1446, 1447, 1415, 1414, 1434, 1435, + 1454, 1455, 1426, 1427, 1437, 1436, 1465, 1464, 1458, 1459, 1423, 1422, 1420, 1421, 1409, 1408, 1466, 1467, 129, 128, 175, 174, 173, 172, 167, 166, 168, 169, 151, 150, + 141, 140, 177, 176, 145, 144, 147, 146, 149, 148, 139, 138, 153, 152, 155, 154, 187, 186, 189, 188, 161, 160, 171, 170, 182, 183, 135, 134, 136, 137, + 163, 162, 133, 132, 131, 130, 143, 142, 185, 184, 191, 190, 164, 165, 179, 178, 157, 156, 159, 158, 181, 180, 2315, 2314, 2319, 2318, 2327, 2326, 2331, 2330, + 2339, 2338, 2328, 2329, 2357, 2356, 2360, 2361, 2332, 2333, 2353, 2352, 2311, 2310, 2312, 2313, 2347, 2346, 2334, 2335, 2317, 2316, 2304, 2305, 2340, 2341, 2348, 2349, 2323, 2322, + 2345, 2344, 2364, 2365, 2324, 2325, 2343, 2342, 2367, 2366, 2320, 2321, 2359, 2358, 2336, 2337, 2306, 2307, 2362, 2363, 2351, 2350, 2308, 2309, 2354, 2355, 3269, 3268, 3283, 3282, + 3265, 3264, 3271, 3270, 3289, 3288, 3275, 3274, 3311, 3310, 3327, 3326, 3321, 3320, 3267, 3266, 3309, 3308, 3303, 3302, 3273, 3272, 3305, 3304, 3293, 3292, 3295, 3294, 3315, 3314, + 3325, 3324, 3301, 3300, 3287, 3286, 3291, 3290, 3307, 3306, 3285, 3284, 3277, 3276, 3313, 3312, 3297, 3296, 3317, 3316, 3322, 3323, 3281, 3280, 3318, 3319, 3299, 3298, 3279, 3278, + 3727, 3726, 3723, 3722, 3761, 3760, 3725, 3724, 3748, 3749, 3731, 3730, 3751, 3750, 3757, 3756, 3773, 3772, 3735, 3734, 3775, 3774, 3759, 3758, 3767, 3766, 3771, 3770, 3739, 3738, + 3729, 3728, 3747, 3746, 3769, 3768, 3736, 3737, 3715, 3714, 3741, 3740, 3745, 3744, 3765, 3764, 3719, 3718, 3713, 3712, 3755, 3754, 3733, 3732, 3752, 3753, 3743, 3742, 3720, 3721, + 3763, 3762, 3717, 3716, 1958, 1959, 1972, 1973, 1926, 1927, 1945, 1944, 1950, 1951, 1946, 1947, 1934, 1935, 1977, 1976, 1974, 1975, 1982, 1983, 1942, 1943, 1929, 1928, 1980, 1981, + 1955, 1954, 1938, 1939, 1941, 1940, 1979, 1978, 1965, 1964, 1932, 1933, 1960, 1961, 1963, 1962, 1921, 1920, 1930, 1931, 1968, 1969, 1953, 1952, 1949, 1948, 1937, 1936, 1923, 1922, + 1957, 1956, 1966, 1967, 1925, 1924, 1971, 1970, 3690, 3691, 3661, 3660, 3689, 3688, 3675, 3674, 3670, 3671, 3693, 3692, 3685, 3684, 3702, 3703, 3666, 3667, 3663, 3662, 3687, 3686, + 3659, 3658, 3657, 3656, 3669, 3668, 3697, 3696, 3654, 3655 +] +private def clayworthGen2Fwd_chunk6 : Array (Fin 4032) := #[ + 3699, 3698, 3652, 3653, 3707, 3706, 3682, 3683, 3678, 3679, 3709, 3708, 3649, 3648, 3704, 3705, 3664, 3665, 3710, 3711, 3651, 3650, 3694, 3695, 3676, 3677, 3680, 3681, 3673, 3672, + 3701, 3700, 840, 841, 861, 860, 855, 854, 839, 838, 832, 833, 892, 893, 882, 883, 864, 865, 868, 869, 851, 850, 853, 852, 837, 836, 870, 871, 874, 875, + 835, 834, 876, 877, 846, 847, 867, 866, 848, 849, 856, 857, 873, 872, 858, 859, 862, 863, 895, 894, 881, 880, 844, 845, 891, 890, 887, 886, 889, 888, + 885, 884, 842, 843, 879, 878, 971, 970, 975, 974, 983, 982, 987, 986, 995, 994, 984, 985, 1013, 1012, 1016, 1017, 988, 989, 1009, 1008, 967, 966, 968, 969, + 1003, 1002, 990, 991, 973, 972, 960, 961, 996, 997, 1004, 1005, 979, 978, 1001, 1000, 1020, 1021, 980, 981, 999, 998, 1023, 1022, 976, 977, 1015, 1014, 992, 993, + 962, 963, 1018, 1019, 1007, 1006, 964, 965, 1010, 1011, 2098, 2099, 2072, 2073, 2064, 2065, 2111, 2110, 2066, 2067, 2063, 2062, 2056, 2057, 2055, 2054, 2092, 2093, 2089, 2088, + 2104, 2105, 2101, 2100, 2094, 2095, 2051, 2050, 2108, 2109, 2106, 2107, 2052, 2053, 2076, 2077, 2082, 2083, 2097, 2096, 2061, 2060, 2103, 2102, 2080, 2081, 2075, 2074, 2071, 2070, + 2068, 2069, 2087, 2086, 2079, 2078, 2048, 2049, 2090, 2091, 2084, 2085, 2059, 2058, 897, 896, 943, 942, 941, 940, 935, 934, 936, 937, 919, 918, 909, 908, 945, 944, + 913, 912, 915, 914, 917, 916, 907, 906, 921, 920, 923, 922, 955, 954, 957, 956, 929, 928, 939, 938, 950, 951, 903, 902, 904, 905, 931, 930, 901, 900, + 899, 898, 911, 910, 953, 952, 959, 958, 932, 933, 947, 946, 925, 924, 927, 926, 949, 948, 663, 662, 693, 692, 647, 646, 648, 649, 671, 670, 681, 680, + 703, 702, 656, 657, 698, 699, 655, 654, 679, 678, 664, 665, 675, 674, 700, 701, 643, 642, 684, 685, 695, 694, 660, 661, 687, 686, 667, 666, 682, 683, + 644, 645, 651, 650, 689, 688, 690, 691, 668, 669, 696, 697, 658, 659, 676, 677, 653, 652, 640, 641, 672, 673, 1879, 1878, 1909, 1908, 1863, 1862, 1864, 1865, + 1887, 1886, 1897, 1896, 1919, 1918, 1872, 1873, 1914, 1915, 1871, 1870, 1895, 1894, 1880, 1881, 1891, 1890, 1916, 1917, 1859, 1858, 1900, 1901, 1911, 1910, 1876, 1877, 1903, 1902, + 1883, 1882, 1898, 1899, 1860, 1861, 1867, 1866, 1905, 1904 +] +private def clayworthGen2Fwd_chunk7 : Array (Fin 4032) := #[ + 1906, 1907, 1884, 1885, 1912, 1913, 1874, 1875, 1892, 1893, 1869, 1868, 1856, 1857, 1888, 1889, 78, 79, 108, 109, 97, 96, 121, 120, 101, 100, 82, 83, 102, 103, + 74, 75, 69, 68, 95, 94, 92, 93, 122, 123, 80, 81, 110, 111, 99, 98, 118, 119, 91, 90, 77, 76, 70, 71, 116, 117, 126, 127, 113, 112, + 66, 67, 89, 88, 104, 105, 106, 107, 84, 85, 65, 64, 87, 86, 73, 72, 114, 115, 125, 124, 2894, 2895, 2924, 2925, 2913, 2912, 2937, 2936, 2917, 2916, + 2898, 2899, 2918, 2919, 2890, 2891, 2885, 2884, 2911, 2910, 2908, 2909, 2938, 2939, 2896, 2897, 2926, 2927, 2915, 2914, 2934, 2935, 2907, 2906, 2893, 2892, 2886, 2887, 2932, 2933, + 2942, 2943, 2929, 2928, 2882, 2883, 2905, 2904, 2920, 2921, 2922, 2923, 2900, 2901, 2881, 2880, 2903, 2902, 2889, 2888, 2930, 2931, 2941, 2940, 1818, 1819, 1843, 1842, 1832, 1833, + 1835, 1834, 1797, 1796, 1823, 1822, 1809, 1808, 1847, 1846, 1811, 1810, 1825, 1824, 1817, 1816, 1853, 1852, 1793, 1792, 1812, 1813, 1840, 1841, 1799, 1798, 1805, 1804, 1815, 1814, + 1844, 1845, 1827, 1826, 1836, 1837, 1803, 1802, 1801, 1800, 1849, 1848, 1828, 1829, 1839, 1838, 1820, 1821, 1855, 1854, 1795, 1794, 1806, 1807, 1831, 1830, 1850, 1851, 1117, 1116, + 1133, 1132, 1120, 1121, 1147, 1146, 1124, 1125, 1141, 1140, 1118, 1119, 1109, 1108, 1114, 1115, 1127, 1126, 1103, 1102, 1144, 1145, 1134, 1135, 1104, 1105, 1089, 1088, 1100, 1101, + 1092, 1093, 1143, 1142, 1096, 1097, 1107, 1106, 1151, 1150, 1139, 1138, 1091, 1090, 1112, 1113, 1148, 1149, 1131, 1130, 1099, 1098, 1123, 1122, 1110, 1111, 1095, 1094, 1136, 1137, + 1129, 1128, 1642, 1643, 1613, 1612, 1641, 1640, 1627, 1626, 1622, 1623, 1645, 1644, 1637, 1636, 1654, 1655, 1618, 1619, 1615, 1614, 1639, 1638, 1611, 1610, 1609, 1608, 1621, 1620, + 1649, 1648, 1606, 1607, 1651, 1650, 1604, 1605, 1659, 1658, 1634, 1635, 1630, 1631, 1661, 1660, 1601, 1600, 1656, 1657, 1616, 1617, 1662, 1663, 1603, 1602, 1646, 1647, 1628, 1629, + 1632, 1633, 1625, 1624, 1653, 1652, 1516, 1517, 1527, 1526, 1482, 1483, 1492, 1493, 1477, 1476, 1481, 1480, 1474, 1475, 1500, 1501, 1521, 1520, 1489, 1488, 1498, 1499, 1494, 1495, + 1532, 1533, 1478, 1479, 1508, 1509, 1514, 1515, 1531, 1530, 1473, 1472, 1486, 1487, 1503, 1502, 1497, 1496, 1511, 1510, 1507, 1506, 1524, 1525, 1490, 1491, 1519, 1518, 1523, 1522, + 1485, 1484, 1504, 1505, 1529, 1528, 1513, 1512, 1534, 1535 +] +private def clayworthGen2Fwd_chunk8 : Array (Fin 4032) := #[ + 3813, 3812, 3781, 3780, 3792, 3793, 3830, 3831, 3804, 3805, 3825, 3824, 3818, 3819, 3777, 3776, 3801, 3800, 3799, 3798, 3839, 3838, 3826, 3827, 3778, 3779, 3808, 3809, 3797, 3796, + 3794, 3795, 3820, 3821, 3834, 3835, 3817, 3816, 3789, 3788, 3791, 3790, 3833, 3832, 3823, 3822, 3803, 3802, 3810, 3811, 3807, 3806, 3783, 3782, 3837, 3836, 3814, 3815, 3787, 3786, + 3828, 3829, 3784, 3785, 2512, 2513, 2504, 2505, 2552, 2553, 2549, 2548, 2498, 2499, 2545, 2544, 2523, 2522, 2519, 2518, 2496, 2497, 2520, 2521, 2528, 2529, 2511, 2510, 2514, 2515, + 2509, 2508, 2526, 2527, 2524, 2525, 2516, 2517, 2551, 2550, 2538, 2539, 2559, 2558, 2543, 2542, 2532, 2533, 2546, 2547, 2537, 2536, 2507, 2506, 2540, 2541, 2503, 2502, 2531, 2530, + 2500, 2501, 2556, 2557, 2554, 2555, 2535, 2534, 487, 486, 451, 450, 472, 473, 455, 454, 470, 471, 482, 483, 463, 462, 461, 460, 465, 464, 477, 476, 478, 479, + 456, 457, 452, 453, 475, 474, 467, 466, 468, 469, 494, 495, 458, 459, 504, 505, 449, 448, 490, 491, 488, 489, 493, 492, 480, 481, 497, 496, 510, 511, + 502, 503, 500, 501, 484, 485, 507, 506, 509, 508, 498, 499, 746, 747, 720, 721, 709, 708, 764, 765, 735, 734, 715, 714, 741, 740, 760, 761, 706, 707, + 767, 766, 727, 726, 725, 724, 729, 728, 749, 748, 754, 755, 713, 712, 737, 736, 739, 738, 717, 716, 745, 744, 743, 742, 704, 705, 731, 730, 751, 750, + 763, 762, 732, 733, 757, 756, 759, 758, 718, 719, 753, 752, 710, 711, 723, 722, 3561, 3560, 3573, 3572, 3580, 3581, 3544, 3545, 3529, 3528, 3565, 3564, 3576, 3577, + 3535, 3534, 3575, 3574, 3539, 3538, 3541, 3540, 3550, 3551, 3526, 3527, 3554, 3555, 3583, 3582, 3542, 3543, 3568, 3569, 3546, 3547, 3557, 3556, 3559, 3558, 3521, 3520, 3563, 3562, + 3531, 3530, 3579, 3578, 3552, 3553, 3571, 3570, 3523, 3522, 3537, 3536, 3532, 3533, 3567, 3566, 3524, 3525, 3549, 3548, 1988, 1989, 1996, 1997, 2004, 2005, 2006, 2007, 2011, 2010, + 2022, 2023, 2030, 2031, 2032, 2033, 2040, 2041, 1986, 1987, 2028, 2029, 1994, 1995, 1992, 1993, 2024, 2025, 2039, 2038, 2018, 2019, 2034, 2035, 2026, 2027, 2042, 2043, 1990, 1991, + 2009, 2008, 2044, 2045, 1984, 1985, 2002, 2003, 2046, 2047, 2000, 2001, 1998, 1999, 2021, 2020, 2016, 2017, 2012, 2013, 2014, 2015, 2036, 2037, 2703, 2702, 2699, 2698, 2737, 2736, + 2701, 2700, 2724, 2725, 2707, 2706, 2727, 2726, 2733, 2732 +] +private def clayworthGen2Fwd_chunk9 : Array (Fin 4032) := #[ + 2749, 2748, 2711, 2710, 2751, 2750, 2735, 2734, 2743, 2742, 2747, 2746, 2715, 2714, 2705, 2704, 2723, 2722, 2745, 2744, 2712, 2713, 2691, 2690, 2717, 2716, 2721, 2720, 2741, 2740, + 2695, 2694, 2689, 2688, 2731, 2730, 2709, 2708, 2728, 2729, 2719, 2718, 2696, 2697, 2739, 2738, 2693, 2692, 3615, 3614, 3586, 3587, 3609, 3608, 3593, 3592, 3607, 3606, 3584, 3585, + 3612, 3613, 3639, 3638, 3631, 3630, 3598, 3599, 3622, 3623, 3590, 3591, 3611, 3610, 3588, 3589, 3636, 3637, 3595, 3594, 3600, 3601, 3605, 3604, 3642, 3643, 3619, 3618, 3627, 3626, + 3644, 3645, 3628, 3629, 3617, 3616, 3635, 3634, 3647, 3646, 3596, 3597, 3603, 3602, 3621, 3620, 3641, 3640, 3625, 3624, 3632, 3633, 2627, 2626, 2645, 2644, 2637, 2636, 2678, 2679, + 2641, 2640, 2683, 2682, 2669, 2668, 2654, 2655, 2664, 2665, 2629, 2628, 2671, 2670, 2661, 2660, 2675, 2674, 2680, 2681, 2647, 2646, 2686, 2687, 2633, 2632, 2676, 2677, 2663, 2662, + 2653, 2652, 2656, 2657, 2638, 2639, 2643, 2642, 2625, 2624, 2658, 2659, 2650, 2651, 2684, 2685, 2634, 2635, 2649, 2648, 2631, 2630, 2672, 2673, 2666, 2667, 2220, 2221, 2231, 2230, + 2186, 2187, 2196, 2197, 2181, 2180, 2185, 2184, 2178, 2179, 2204, 2205, 2225, 2224, 2193, 2192, 2202, 2203, 2198, 2199, 2236, 2237, 2182, 2183, 2212, 2213, 2218, 2219, 2235, 2234, + 2177, 2176, 2190, 2191, 2207, 2206, 2201, 2200, 2215, 2214, 2211, 2210, 2228, 2229, 2194, 2195, 2223, 2222, 2227, 2226, 2189, 2188, 2208, 2209, 2233, 2232, 2217, 2216, 2238, 2239, + 2804, 2805, 2772, 2773, 2809, 2808, 2769, 2768, 2806, 2807, 2798, 2799, 2762, 2763, 2774, 2775, 2753, 2752, 2813, 2812, 2810, 2811, 2788, 2789, 2802, 2803, 2764, 2765, 2783, 2782, + 2781, 2780, 2760, 2761, 2755, 2754, 2790, 2791, 2814, 2815, 2800, 2801, 2767, 2766, 2770, 2771, 2792, 2793, 2778, 2779, 2786, 2787, 2756, 2757, 2797, 2796, 2759, 2758, 2777, 2776, + 2784, 2785, 2795, 2794, 4019, 4018, 3994, 3995, 4001, 4000, 4016, 4017, 3981, 3980, 4020, 4021, 3977, 3976, 3990, 3991, 4013, 4012, 4008, 4009, 4025, 4024, 3982, 3983, 4015, 4014, + 3970, 3971, 4011, 4010, 4005, 4004, 3973, 3972, 4022, 4023, 3999, 3998, 4030, 4031, 3986, 3987, 3997, 3996, 3985, 3984, 3993, 3992, 3974, 3975, 3969, 3968, 3978, 3979, 4002, 4003, + 3989, 3988, 4029, 4028, 4027, 4026, 4006, 4007, 3866, 3867, 3891, 3890, 3880, 3881, 3883, 3882, 3845, 3844, 3871, 3870, 3857, 3856, 3895, 3894, 3859, 3858, 3873, 3872, 3865, 3864, + 3901, 3900, 3841, 3840, 3860, 3861, 3888, 3889, 3847, 3846 +] +private def clayworthGen2Fwd_chunk10 : Array (Fin 4032) := #[ + 3853, 3852, 3863, 3862, 3892, 3893, 3875, 3874, 3884, 3885, 3851, 3850, 3849, 3848, 3897, 3896, 3876, 3877, 3887, 3886, 3868, 3869, 3903, 3902, 3843, 3842, 3854, 3855, 3879, 3878, + 3898, 3899 +] +private def clayworthGen2Fwd : Array (Fin 4032) := + clayworthGen2Fwd_chunk0 ++ clayworthGen2Fwd_chunk1 ++ clayworthGen2Fwd_chunk2 ++ clayworthGen2Fwd_chunk3 ++ clayworthGen2Fwd_chunk4 ++ clayworthGen2Fwd_chunk5 ++ clayworthGen2Fwd_chunk6 ++ clayworthGen2Fwd_chunk7 ++ clayworthGen2Fwd_chunk8 ++ clayworthGen2Fwd_chunk9 ++ clayworthGen2Fwd_chunk10 +private theorem clayworthGen2Fwd_size : clayworthGen2Fwd.size = 4032 := by native_decide + +private def clayworthGen2Inv_chunk0 : Array (Fin 4032) := #[ + 1154, 1155, 1152, 1153, 1170, 1171, 1180, 1181, 1184, 1185, 1188, 1189, 1196, 1197, 1187, 1186, 1193, 1192, 1156, 1157, 1198, 1199, 1210, 1211, 1202, 1203, 1209, 1208, 1158, 1159, + 1201, 1200, 1160, 1161, 1167, 1166, 1162, 1163, 1207, 1206, 1169, 1168, 1205, 1204, 1164, 1165, 1172, 1173, 1183, 1182, 1176, 1177, 1195, 1194, 1191, 1190, 1179, 1178, 1174, 1175, + 1215, 1214, 1213, 1212, 2871, 2870, 2860, 2861, 2833, 2832, 2852, 2853, 2875, 2874, 2830, 2831, 2851, 2850, 2816, 2817, 2840, 2841, 2826, 2827, 2868, 2869, 2873, 2872, 2863, 2862, + 2849, 2848, 2836, 2837, 2835, 2834, 2821, 2820, 2845, 2844, 2825, 2824, 2828, 2829, 2864, 2865, 2866, 2867, 2818, 2819, 2842, 2843, 2859, 2858, 2876, 2877, 2854, 2855, 2846, 2847, + 2823, 2822, 2838, 2839, 2879, 2878, 2856, 2857, 2049, 2048, 2095, 2094, 2093, 2092, 2087, 2086, 2088, 2089, 2071, 2070, 2061, 2060, 2097, 2096, 2065, 2064, 2067, 2066, 2069, 2068, + 2059, 2058, 2073, 2072, 2075, 2074, 2107, 2106, 2109, 2108, 2081, 2080, 2091, 2090, 2102, 2103, 2055, 2054, 2056, 2057, 2083, 2082, 2053, 2052, 2051, 2050, 2063, 2062, 2105, 2104, + 2111, 2110, 2084, 2085, 2099, 2098, 2077, 2076, 2079, 2078, 2101, 2100, 1034, 1035, 1026, 1027, 1050, 1051, 1046, 1047, 1031, 1030, 1055, 1054, 1076, 1077, 1042, 1043, 1056, 1057, + 1079, 1078, 1059, 1058, 1033, 1032, 1029, 1028, 1049, 1048, 1036, 1037, 1025, 1024, 1071, 1070, 1063, 1062, 1081, 1080, 1044, 1045, 1085, 1084, 1065, 1064, 1068, 1069, 1041, 1040, + 1086, 1087, 1073, 1072, 1052, 1053, 1039, 1038, 1083, 1082, 1060, 1061, 1066, 1067, 1075, 1074, 323, 322, 341, 340, 333, 332, 374, 375, 337, 336, 379, 378, 365, 364, + 350, 351, 360, 361, 325, 324, 367, 366, 357, 356, 371, 370, 376, 377, 343, 342, 382, 383, 329, 328, 372, 373, 359, 358, 349, 348, 352, 353, 334, 335, + 339, 338, 321, 320, 354, 355, 346, 347, 380, 381, 330, 331, 345, 344, 327, 326, 368, 369, 362, 363, 309, 308, 301, 300, 272, 273, 312, 313, 314, 315, + 269, 268, 267, 266, 295, 294, 260, 261, 290, 291, 310, 311, 293, 292, 289, 288, 303, 302, 286, 287, 284, 285, 281, 280, 274, 275, 279, 278, 271, 270, + 305, 304, 318, 319, 259, 258, 283, 282, 297, 296, 317, 316, 257, 256, 276, 277, 262, 263, 264, 265, 307, 306, 298, 299, 669, 668, 700, 701, 694, 695, + 690, 691, 702, 703, 696, 697, 670, 671, 664, 665 +] +private def clayworthGen2Inv_chunk1 : Array (Fin 4032) := #[ + 650, 651, 682, 683, 677, 676, 656, 657, 688, 689, 693, 692, 645, 644, 686, 687, 646, 647, 658, 659, 685, 684, 672, 673, 655, 654, 642, 643, 699, 698, + 674, 675, 648, 649, 662, 663, 681, 680, 660, 661, 678, 679, 641, 640, 652, 653, 667, 666, 3367, 3366, 3331, 3330, 3352, 3353, 3335, 3334, 3350, 3351, 3362, 3363, + 3343, 3342, 3341, 3340, 3345, 3344, 3357, 3356, 3358, 3359, 3336, 3337, 3332, 3333, 3355, 3354, 3347, 3346, 3348, 3349, 3374, 3375, 3338, 3339, 3384, 3385, 3329, 3328, 3370, 3371, + 3368, 3369, 3373, 3372, 3360, 3361, 3377, 3376, 3390, 3391, 3382, 3383, 3380, 3381, 3364, 3365, 3387, 3386, 3389, 3388, 3378, 3379, 0, 1, 2, 3, 4, 5, 6, 7, + 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, + 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 1604, 1605, 1612, 1613, + 1620, 1621, 1622, 1623, 1627, 1626, 1638, 1639, 1646, 1647, 1648, 1649, 1656, 1657, 1602, 1603, 1644, 1645, 1610, 1611, 1608, 1609, 1640, 1641, 1655, 1654, 1634, 1635, 1650, 1651, + 1642, 1643, 1658, 1659, 1606, 1607, 1625, 1624, 1660, 1661, 1600, 1601, 1618, 1619, 1662, 1663, 1616, 1617, 1614, 1615, 1637, 1636, 1632, 1633, 1628, 1629, 1630, 1631, 1652, 1653, + 2748, 2749, 2717, 2716, 2730, 2731, 2693, 2692, 2694, 2695, 2733, 2732, 2747, 2746, 2707, 2706, 2702, 2703, 2742, 2743, 2722, 2723, 2689, 2688, 2710, 2711, 2727, 2726, 2738, 2739, + 2697, 2696, 2750, 2751, 2713, 2712, 2744, 2745, 2709, 2708, 2699, 2698, 2728, 2729, 2718, 2719, 2725, 2724, 2735, 2734, 2736, 2737, 2691, 2690, 2721, 2720, 2740, 2741, 2704, 2705, + 2714, 2715, 2701, 2700, 3434, 3435, 3408, 3409, 3397, 3396, 3452, 3453, 3423, 3422, 3403, 3402, 3429, 3428, 3448, 3449, 3394, 3395, 3455, 3454, 3415, 3414, 3413, 3412, 3417, 3416, + 3437, 3436, 3442, 3443, 3401, 3400, 3425, 3424, 3427, 3426, 3405, 3404, 3433, 3432, 3431, 3430, 3392, 3393, 3419, 3418, 3439, 3438, 3451, 3450, 3420, 3421, 3445, 3444, 3447, 3446, + 3406, 3407, 3441, 3440, 3398, 3399, 3411, 3410, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, + 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 +] +private def clayworthGen2Inv_chunk2 : Array (Fin 4032) := #[ + 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, + 126, 127, 2440, 2441, 2461, 2460, 2455, 2454, 2439, 2438, 2432, 2433, 2492, 2493, 2482, 2483, 2464, 2465, 2468, 2469, 2451, 2450, 2453, 2452, 2437, 2436, 2470, 2471, 2474, 2475, + 2435, 2434, 2476, 2477, 2446, 2447, 2467, 2466, 2448, 2449, 2456, 2457, 2473, 2472, 2458, 2459, 2462, 2463, 2495, 2494, 2481, 2480, 2444, 2445, 2491, 2490, 2487, 2486, 2489, 2488, + 2485, 2484, 2442, 2443, 2479, 2478, 2625, 2624, 2671, 2670, 2669, 2668, 2663, 2662, 2664, 2665, 2647, 2646, 2637, 2636, 2673, 2672, 2641, 2640, 2643, 2642, 2645, 2644, 2635, 2634, + 2649, 2648, 2651, 2650, 2683, 2682, 2685, 2684, 2657, 2656, 2667, 2666, 2678, 2679, 2631, 2630, 2632, 2633, 2659, 2658, 2629, 2628, 2627, 2626, 2639, 2638, 2681, 2680, 2687, 2686, + 2660, 2661, 2675, 2674, 2653, 2652, 2655, 2654, 2677, 2676, 2526, 2527, 2550, 2551, 2556, 2557, 2517, 2516, 2518, 2519, 2497, 2496, 2525, 2524, 2499, 2498, 2544, 2545, 2533, 2532, + 2538, 2539, 2501, 2500, 2506, 2507, 2503, 2502, 2512, 2513, 2522, 2523, 2548, 2549, 2505, 2504, 2528, 2529, 2541, 2540, 2535, 2534, 2521, 2520, 2530, 2531, 2555, 2554, 2515, 2514, + 2558, 2559, 2509, 2508, 2547, 2546, 2510, 2511, 2552, 2553, 2536, 2537, 2543, 2542, 1943, 1942, 1973, 1972, 1927, 1926, 1928, 1929, 1951, 1950, 1961, 1960, 1983, 1982, 1936, 1937, + 1978, 1979, 1935, 1934, 1959, 1958, 1944, 1945, 1955, 1954, 1980, 1981, 1923, 1922, 1964, 1965, 1975, 1974, 1940, 1941, 1967, 1966, 1947, 1946, 1962, 1963, 1924, 1925, 1931, 1930, + 1969, 1968, 1970, 1971, 1948, 1949, 1976, 1977, 1938, 1939, 1956, 1957, 1933, 1932, 1920, 1921, 1952, 1953, 3037, 3036, 3053, 3052, 3040, 3041, 3067, 3066, 3044, 3045, 3061, 3060, + 3038, 3039, 3029, 3028, 3034, 3035, 3047, 3046, 3023, 3022, 3064, 3065, 3054, 3055, 3024, 3025, 3009, 3008, 3020, 3021, 3012, 3013, 3063, 3062, 3016, 3017, 3027, 3026, 3071, 3070, + 3059, 3058, 3011, 3010, 3032, 3033, 3068, 3069, 3051, 3050, 3019, 3018, 3043, 3042, 3030, 3031, 3015, 3014, 3056, 3057, 3049, 3048, 510, 511, 458, 459, 496, 497, 494, 495, + 485, 484, 450, 451, 470, 471, 468, 469, 482, 483, 486, 487, 462, 463, 460, 461, 507, 506, 503, 502, 488, 489, 504, 505, 508, 509, 464, 465, 457, 456, + 466, 467, 476, 477, 498, 499, 500, 501, 454, 455 +] +private def clayworthGen2Inv_chunk3 : Array (Fin 4032) := #[ + 452, 453, 490, 491, 492, 493, 475, 474, 478, 479, 473, 472, 480, 481, 448, 449, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, + 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, + 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 1898, 1899, 1869, 1868, 1897, 1896, 1883, 1882, 1878, 1879, + 1901, 1900, 1893, 1892, 1910, 1911, 1874, 1875, 1871, 1870, 1895, 1894, 1867, 1866, 1865, 1864, 1877, 1876, 1905, 1904, 1862, 1863, 1907, 1906, 1860, 1861, 1915, 1914, 1890, 1891, + 1886, 1887, 1917, 1916, 1857, 1856, 1912, 1913, 1872, 1873, 1918, 1919, 1859, 1858, 1902, 1903, 1884, 1885, 1888, 1889, 1881, 1880, 1909, 1908, 1847, 1846, 1836, 1837, 1809, 1808, + 1828, 1829, 1851, 1850, 1806, 1807, 1827, 1826, 1792, 1793, 1816, 1817, 1802, 1803, 1844, 1845, 1849, 1848, 1839, 1838, 1825, 1824, 1812, 1813, 1811, 1810, 1797, 1796, 1821, 1820, + 1801, 1800, 1804, 1805, 1840, 1841, 1842, 1843, 1794, 1795, 1818, 1819, 1835, 1834, 1852, 1853, 1830, 1831, 1822, 1823, 1799, 1798, 1814, 1815, 1855, 1854, 1832, 1833, 2045, 2044, + 2017, 2016, 1988, 1989, 2027, 2026, 2018, 2019, 2022, 2023, 2042, 2043, 2041, 2040, 1987, 1986, 2032, 2033, 1990, 1991, 1984, 1985, 2011, 2010, 2028, 2029, 2035, 2034, 1992, 1993, + 2000, 2001, 2014, 2015, 2002, 2003, 2024, 2025, 1994, 1995, 2005, 2004, 2009, 2008, 2030, 2031, 2020, 2021, 2038, 2039, 1998, 1999, 2013, 2012, 2037, 2036, 2046, 2047, 2007, 2006, + 1996, 1997, 3171, 3170, 3148, 3149, 3145, 3144, 3162, 3163, 3147, 3146, 3140, 3141, 3191, 3190, 3172, 3173, 3155, 3154, 3184, 3185, 3142, 3143, 3158, 3159, 3177, 3176, 3156, 3157, + 3150, 3151, 3175, 3174, 3192, 3193, 3181, 3180, 3164, 3165, 3179, 3178, 3197, 3196, 3166, 3167, 3136, 3137, 3187, 3186, 3153, 3152, 3189, 3188, 3182, 3183, 3139, 3138, 3195, 3194, + 3169, 3168, 3160, 3161, 3198, 3199, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, + 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, + 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 +] +private def clayworthGen2Inv_chunk4 : Array (Fin 4032) := #[ + 3117, 3116, 3125, 3124, 3106, 3107, 3102, 3103, 3097, 3096, 3095, 3094, 3075, 3074, 3091, 3090, 3120, 3121, 3088, 3089, 3099, 3098, 3080, 3081, 3133, 3132, 3079, 3078, 3128, 3129, + 3112, 3113, 3130, 3131, 3110, 3111, 3085, 3084, 3093, 3092, 3077, 3076, 3072, 3073, 3083, 3082, 3126, 3127, 3101, 3100, 3105, 3104, 3135, 3134, 3086, 3087, 3118, 3119, 3109, 3108, + 3115, 3114, 3122, 3123, 573, 572, 548, 549, 543, 542, 532, 533, 523, 522, 512, 513, 570, 571, 558, 559, 527, 526, 567, 566, 547, 546, 556, 557, 535, 534, + 550, 551, 529, 528, 539, 538, 575, 574, 553, 552, 545, 544, 516, 517, 518, 519, 536, 537, 555, 554, 540, 541, 530, 531, 565, 564, 524, 525, 568, 569, + 561, 560, 563, 562, 520, 521, 514, 515, 723, 722, 715, 714, 763, 762, 751, 750, 716, 717, 720, 721, 725, 724, 727, 726, 739, 738, 745, 744, 760, 761, + 741, 740, 752, 753, 758, 759, 743, 742, 718, 719, 710, 711, 706, 707, 734, 735, 767, 766, 754, 755, 732, 733, 757, 756, 764, 765, 709, 708, 704, 705, + 731, 730, 748, 749, 713, 712, 728, 729, 737, 736, 746, 747, 2969, 2968, 3001, 3000, 2953, 2952, 2975, 2974, 2989, 2988, 2987, 2986, 2977, 2976, 3002, 3003, 2957, 2956, + 2961, 2960, 2970, 2971, 2979, 2978, 2965, 2964, 2944, 2945, 2996, 2997, 2955, 2954, 2963, 2962, 2983, 2982, 2992, 2993, 3005, 3004, 2948, 2949, 2951, 2950, 2984, 2985, 2995, 2994, + 2972, 2973, 2947, 2946, 2980, 2981, 2959, 2958, 2991, 2990, 3006, 3007, 2967, 2966, 2999, 2998, 2812, 2813, 2781, 2780, 2794, 2795, 2757, 2756, 2758, 2759, 2797, 2796, 2811, 2810, + 2771, 2770, 2766, 2767, 2806, 2807, 2786, 2787, 2753, 2752, 2774, 2775, 2791, 2790, 2802, 2803, 2761, 2760, 2814, 2815, 2777, 2776, 2808, 2809, 2773, 2772, 2763, 2762, 2792, 2793, + 2782, 2783, 2789, 2788, 2799, 2798, 2800, 2801, 2755, 2754, 2785, 2784, 2804, 2805, 2768, 2769, 2778, 2779, 2765, 2764, 2347, 2346, 2359, 2358, 2365, 2364, 2308, 2309, 2327, 2326, + 2348, 2349, 2340, 2341, 2316, 2317, 2357, 2356, 2332, 2333, 2335, 2334, 2324, 2325, 2311, 2310, 2314, 2315, 2355, 2354, 2312, 2313, 2353, 2352, 2331, 2330, 2361, 2360, 2304, 2305, + 2342, 2343, 2345, 2344, 2339, 2338, 2362, 2363, 2350, 2351, 2367, 2366, 2306, 2307, 2320, 2321, 2319, 2318, 2337, 2336, 2328, 2329, 2322, 2323, 3564, 3565, 3538, 3539, 3520, 3521, + 3558, 3559, 3544, 3545, 3542, 3543, 3522, 3523, 3572, 3573 +] +private def clayworthGen2Inv_chunk5 : Array (Fin 4032) := #[ + 3570, 3571, 3566, 3567, 3524, 3525, 3526, 3527, 3561, 3560, 3529, 3528, 3578, 3579, 3580, 3581, 3576, 3577, 3550, 3551, 3575, 3574, 3530, 3531, 3546, 3547, 3554, 3555, 3540, 3541, + 3532, 3533, 3534, 3535, 3552, 3553, 3582, 3583, 3549, 3548, 3536, 3537, 3556, 3557, 3562, 3563, 3568, 3569, 2616, 2617, 2587, 2586, 2592, 2593, 2575, 2574, 2572, 2573, 2623, 2622, + 2601, 2600, 2571, 2570, 2564, 2565, 2568, 2569, 2610, 2611, 2609, 2608, 2562, 2563, 2607, 2606, 2594, 2595, 2615, 2614, 2604, 2605, 2596, 2597, 2620, 2621, 2613, 2612, 2579, 2578, + 2618, 2619, 2576, 2577, 2584, 2585, 2599, 2598, 2560, 2561, 2583, 2582, 2603, 2602, 2580, 2581, 2590, 2591, 2588, 2589, 2567, 2566, 1571, 1570, 1548, 1549, 1545, 1544, 1562, 1563, + 1547, 1546, 1540, 1541, 1591, 1590, 1572, 1573, 1555, 1554, 1584, 1585, 1542, 1543, 1558, 1559, 1577, 1576, 1556, 1557, 1550, 1551, 1575, 1574, 1592, 1593, 1581, 1580, 1564, 1565, + 1579, 1578, 1597, 1596, 1566, 1567, 1536, 1537, 1587, 1586, 1553, 1552, 1589, 1588, 1582, 1583, 1539, 1538, 1595, 1594, 1569, 1568, 1560, 1561, 1598, 1599, 3811, 3810, 3788, 3789, + 3785, 3784, 3802, 3803, 3787, 3786, 3780, 3781, 3831, 3830, 3812, 3813, 3795, 3794, 3824, 3825, 3782, 3783, 3798, 3799, 3817, 3816, 3796, 3797, 3790, 3791, 3815, 3814, 3832, 3833, + 3821, 3820, 3804, 3805, 3819, 3818, 3837, 3836, 3806, 3807, 3776, 3777, 3827, 3826, 3793, 3792, 3829, 3828, 3822, 3823, 3779, 3778, 3835, 3834, 3809, 3808, 3800, 3801, 3838, 3839, + 1532, 1533, 1501, 1500, 1514, 1515, 1477, 1476, 1478, 1479, 1517, 1516, 1531, 1530, 1491, 1490, 1486, 1487, 1526, 1527, 1506, 1507, 1473, 1472, 1494, 1495, 1511, 1510, 1522, 1523, + 1481, 1480, 1534, 1535, 1497, 1496, 1528, 1529, 1493, 1492, 1483, 1482, 1512, 1513, 1502, 1503, 1509, 1508, 1519, 1518, 1520, 1521, 1475, 1474, 1505, 1504, 1524, 1525, 1488, 1489, + 1498, 1499, 1485, 1484, 2142, 2143, 2166, 2167, 2172, 2173, 2133, 2132, 2134, 2135, 2113, 2112, 2141, 2140, 2115, 2114, 2160, 2161, 2149, 2148, 2154, 2155, 2117, 2116, 2122, 2123, + 2119, 2118, 2128, 2129, 2138, 2139, 2164, 2165, 2121, 2120, 2144, 2145, 2157, 2156, 2151, 2150, 2137, 2136, 2146, 2147, 2171, 2170, 2131, 2130, 2174, 2175, 2125, 2124, 2163, 2162, + 2126, 2127, 2168, 2169, 2152, 2153, 2159, 2158, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, + 406, 407, 408, 409, 410, 411, 412, 413, 414, 415 +] +private def clayworthGen2Inv_chunk6 : Array (Fin 4032) := #[ + 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, + 446, 447, 1433, 1432, 1465, 1464, 1417, 1416, 1439, 1438, 1453, 1452, 1451, 1450, 1441, 1440, 1466, 1467, 1421, 1420, 1425, 1424, 1434, 1435, 1443, 1442, 1429, 1428, 1408, 1409, + 1460, 1461, 1419, 1418, 1427, 1426, 1447, 1446, 1456, 1457, 1469, 1468, 1412, 1413, 1415, 1414, 1448, 1449, 1459, 1458, 1436, 1437, 1411, 1410, 1444, 1445, 1423, 1422, 1455, 1454, + 1470, 1471, 1431, 1430, 1463, 1462, 3280, 3281, 3272, 3273, 3320, 3321, 3317, 3316, 3266, 3267, 3313, 3312, 3291, 3290, 3287, 3286, 3264, 3265, 3288, 3289, 3296, 3297, 3279, 3278, + 3282, 3283, 3277, 3276, 3294, 3295, 3292, 3293, 3284, 3285, 3319, 3318, 3306, 3307, 3327, 3326, 3311, 3310, 3300, 3301, 3314, 3315, 3305, 3304, 3275, 3274, 3308, 3309, 3271, 3270, + 3299, 3298, 3268, 3269, 3324, 3325, 3322, 3323, 3303, 3302, 1149, 1148, 1124, 1125, 1119, 1118, 1108, 1109, 1099, 1098, 1088, 1089, 1146, 1147, 1134, 1135, 1103, 1102, 1143, 1142, + 1123, 1122, 1132, 1133, 1111, 1110, 1126, 1127, 1105, 1104, 1115, 1114, 1151, 1150, 1129, 1128, 1121, 1120, 1092, 1093, 1094, 1095, 1112, 1113, 1131, 1130, 1116, 1117, 1106, 1107, + 1141, 1140, 1100, 1101, 1144, 1145, 1137, 1136, 1139, 1138, 1096, 1097, 1090, 1091, 3759, 3758, 3713, 3712, 3731, 3730, 3771, 3770, 3745, 3744, 3766, 3767, 3717, 3716, 3754, 3755, + 3721, 3720, 3757, 3756, 3715, 3714, 3741, 3740, 3769, 3768, 3762, 3763, 3751, 3750, 3726, 3727, 3752, 3753, 3760, 3761, 3735, 3734, 3749, 3748, 3728, 3729, 3774, 3775, 3725, 3724, + 3733, 3732, 3772, 3773, 3737, 3736, 3746, 3747, 3718, 3719, 3738, 3739, 3723, 3722, 3764, 3765, 3742, 3743, 3633, 3632, 3623, 3622, 3647, 3646, 3631, 3630, 3642, 3643, 3587, 3586, + 3591, 3590, 3585, 3584, 3615, 3614, 3595, 3594, 3637, 3636, 3603, 3602, 3620, 3621, 3613, 3612, 3625, 3624, 3641, 3640, 3627, 3626, 3617, 3616, 3592, 3593, 3597, 3596, 3638, 3639, + 3635, 3634, 3599, 3598, 3607, 3606, 3589, 3588, 3645, 3644, 3629, 3628, 3609, 3608, 3619, 3618, 3611, 3610, 3601, 3600, 3605, 3604, 3857, 3856, 3875, 3874, 3892, 3893, 3897, 3896, + 3872, 3873, 3852, 3853, 3866, 3867, 3883, 3882, 3847, 3846, 3884, 3885, 3842, 3843, 3854, 3855, 3899, 3898, 3888, 3889, 3871, 3870, 3869, 3868, 3900, 3901, 3890, 3891, 3862, 3863, + 3876, 3877, 3886, 3887, 3903, 3902, 3895, 3894, 3850, 3851 +] +private def clayworthGen2Inv_chunk7 : Array (Fin 4032) := #[ + 3880, 3881, 3864, 3865, 3840, 3841, 3848, 3849, 3845, 3844, 3860, 3861, 3859, 3858, 3878, 3879, 1748, 1749, 1780, 1781, 1789, 1788, 1759, 1758, 1736, 1737, 1766, 1767, 1746, 1747, + 1730, 1731, 1777, 1776, 1785, 1784, 1768, 1769, 1753, 1752, 1762, 1763, 1734, 1735, 1745, 1744, 1755, 1754, 1782, 1783, 1751, 1750, 1774, 1775, 1772, 1773, 1728, 1729, 1733, 1732, + 1738, 1739, 1786, 1787, 1756, 1757, 1778, 1779, 1742, 1743, 1791, 1790, 1741, 1740, 1764, 1765, 1770, 1771, 1761, 1760, 2935, 2934, 2924, 2925, 2897, 2896, 2916, 2917, 2939, 2938, + 2894, 2895, 2915, 2914, 2880, 2881, 2904, 2905, 2890, 2891, 2932, 2933, 2937, 2936, 2927, 2926, 2913, 2912, 2900, 2901, 2899, 2898, 2885, 2884, 2909, 2908, 2889, 2888, 2892, 2893, + 2928, 2929, 2930, 2931, 2882, 2883, 2906, 2907, 2923, 2922, 2940, 2941, 2918, 2919, 2910, 2911, 2887, 2886, 2902, 2903, 2943, 2942, 2920, 2921, 1379, 1378, 1356, 1357, 1353, 1352, + 1370, 1371, 1355, 1354, 1348, 1349, 1399, 1398, 1380, 1381, 1363, 1362, 1392, 1393, 1350, 1351, 1366, 1367, 1385, 1384, 1364, 1365, 1358, 1359, 1383, 1382, 1400, 1401, 1389, 1388, + 1372, 1373, 1387, 1386, 1405, 1404, 1374, 1375, 1344, 1345, 1395, 1394, 1361, 1360, 1397, 1396, 1390, 1391, 1347, 1346, 1403, 1402, 1377, 1376, 1368, 1369, 1406, 1407, 1243, 1242, + 1279, 1278, 1258, 1259, 1257, 1256, 1241, 1240, 1237, 1236, 1232, 1233, 1269, 1268, 1244, 1245, 1263, 1262, 1221, 1220, 1276, 1277, 1254, 1255, 1246, 1247, 1265, 1264, 1222, 1223, + 1230, 1231, 1225, 1224, 1270, 1271, 1227, 1226, 1261, 1260, 1251, 1250, 1239, 1238, 1253, 1252, 1272, 1273, 1249, 1248, 1235, 1234, 1267, 1266, 1218, 1219, 1229, 1228, 1216, 1217, + 1275, 1274, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, + 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, + 634, 635, 636, 637, 638, 639, 940, 941, 951, 950, 906, 907, 916, 917, 901, 900, 905, 904, 898, 899, 924, 925, 945, 944, 913, 912, 922, 923, 918, 919, + 956, 957, 902, 903, 932, 933, 938, 939, 955, 954, 897, 896, 910, 911, 927, 926, 921, 920, 935, 934, 931, 930, 948, 949, 914, 915, 943, 942, 947, 946, + 909, 908, 928, 929, 953, 952, 937, 936, 958, 959 +] +private def clayworthGen2Inv_chunk8 : Array (Fin 4032) := #[ + 1000, 1001, 977, 976, 985, 984, 1021, 1020, 981, 980, 995, 994, 1017, 1016, 996, 997, 963, 962, 1011, 1010, 969, 968, 991, 990, 965, 964, 1004, 1005, 1022, 1023, + 983, 982, 1007, 1006, 971, 970, 974, 975, 1003, 1002, 960, 961, 999, 998, 986, 987, 993, 992, 1018, 1019, 979, 978, 1015, 1014, 1013, 1012, 973, 972, 1008, 1009, + 967, 966, 988, 989, 2181, 2180, 2195, 2194, 2177, 2176, 2183, 2182, 2201, 2200, 2187, 2186, 2223, 2222, 2239, 2238, 2233, 2232, 2179, 2178, 2221, 2220, 2215, 2214, 2185, 2184, + 2217, 2216, 2205, 2204, 2207, 2206, 2227, 2226, 2237, 2236, 2213, 2212, 2199, 2198, 2203, 2202, 2219, 2218, 2197, 2196, 2189, 2188, 2225, 2224, 2209, 2208, 2229, 2228, 2234, 2235, + 2193, 2192, 2230, 2231, 2211, 2210, 2191, 2190, 1703, 1702, 1667, 1666, 1688, 1689, 1671, 1670, 1686, 1687, 1698, 1699, 1679, 1678, 1677, 1676, 1681, 1680, 1693, 1692, 1694, 1695, + 1672, 1673, 1668, 1669, 1691, 1690, 1683, 1682, 1684, 1685, 1710, 1711, 1674, 1675, 1720, 1721, 1665, 1664, 1706, 1707, 1704, 1705, 1709, 1708, 1696, 1697, 1713, 1712, 1726, 1727, + 1718, 1719, 1716, 1717, 1700, 1701, 1723, 1722, 1725, 1724, 1714, 1715, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, + 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, + 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, + 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, + 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 3497, 3496, 3509, 3508, 3516, 3517, 3480, 3481, 3465, 3464, + 3501, 3500, 3512, 3513, 3471, 3470, 3511, 3510, 3475, 3474, 3477, 3476, 3486, 3487, 3462, 3463, 3490, 3491, 3519, 3518, 3478, 3479, 3504, 3505, 3482, 3483, 3493, 3492, 3495, 3494, + 3457, 3456, 3499, 3498, 3467, 3466, 3515, 3514, 3488, 3489, 3507, 3506, 3459, 3458, 3473, 3472, 3468, 3469, 3503, 3502, 3460, 3461, 3485, 3484, 3658, 3659, 3650, 3651, 3674, 3675, + 3670, 3671, 3655, 3654, 3679, 3678, 3700, 3701, 3666, 3667 +] +private def clayworthGen2Inv_chunk9 : Array (Fin 4032) := #[ + 3680, 3681, 3703, 3702, 3683, 3682, 3657, 3656, 3653, 3652, 3673, 3672, 3660, 3661, 3649, 3648, 3695, 3694, 3687, 3686, 3705, 3704, 3668, 3669, 3709, 3708, 3689, 3688, 3692, 3693, + 3665, 3664, 3710, 3711, 3697, 3696, 3676, 3677, 3663, 3662, 3707, 3706, 3684, 3685, 3690, 3691, 3699, 3698, 2413, 2412, 2421, 2420, 2402, 2403, 2398, 2399, 2393, 2392, 2391, 2390, + 2371, 2370, 2387, 2386, 2416, 2417, 2384, 2385, 2395, 2394, 2376, 2377, 2429, 2428, 2375, 2374, 2424, 2425, 2408, 2409, 2426, 2427, 2406, 2407, 2381, 2380, 2389, 2388, 2373, 2372, + 2368, 2369, 2379, 2378, 2422, 2423, 2397, 2396, 2401, 2400, 2431, 2430, 2382, 2383, 2414, 2415, 2405, 2404, 2411, 2410, 2418, 2419, 2289, 2288, 2279, 2278, 2303, 2302, 2287, 2286, + 2298, 2299, 2243, 2242, 2247, 2246, 2241, 2240, 2271, 2270, 2251, 2250, 2293, 2292, 2259, 2258, 2276, 2277, 2269, 2268, 2281, 2280, 2297, 2296, 2283, 2282, 2273, 2272, 2248, 2249, + 2253, 2252, 2294, 2295, 2291, 2290, 2255, 2254, 2263, 2262, 2245, 2244, 2301, 2300, 2285, 2284, 2265, 2264, 2275, 2274, 2267, 2266, 2257, 2256, 2261, 2260, 3215, 3214, 3224, 3225, + 3203, 3202, 3253, 3252, 3262, 3263, 3259, 3258, 3239, 3238, 3241, 3240, 3204, 3205, 3230, 3231, 3229, 3228, 3219, 3218, 3217, 3216, 3247, 3246, 3208, 3209, 3251, 3250, 3226, 3227, + 3248, 3249, 3201, 3200, 3256, 3257, 3237, 3236, 3212, 3213, 3232, 3233, 3245, 3244, 3211, 3210, 3222, 3223, 3260, 3261, 3206, 3207, 3243, 3242, 3234, 3235, 3255, 3254, 3221, 3220, + 3993, 3992, 4025, 4024, 3977, 3976, 3999, 3998, 4013, 4012, 4011, 4010, 4001, 4000, 4026, 4027, 3981, 3980, 3985, 3984, 3994, 3995, 4003, 4002, 3989, 3988, 3968, 3969, 4020, 4021, + 3979, 3978, 3987, 3986, 4007, 4006, 4016, 4017, 4029, 4028, 3972, 3973, 3975, 3974, 4008, 4009, 4019, 4018, 3996, 3997, 3971, 3970, 4004, 4005, 3983, 3982, 4015, 4014, 4030, 4031, + 3991, 3990, 4023, 4022, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, + 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, + 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 3955, 3954, 3930, 3931, 3937, 3936, 3952, 3953, 3917, 3916, 3956, 3957, 3913, 3912, 3926, 3927, 3949, 3948, 3944, 3945, 3961, 3960, + 3918, 3919, 3951, 3950, 3906, 3907, 3947, 3946, 3941, 3940 +] +private def clayworthGen2Inv_chunk10 : Array (Fin 4032) := #[ + 3909, 3908, 3958, 3959, 3935, 3934, 3966, 3967, 3922, 3923, 3933, 3932, 3921, 3920, 3929, 3928, 3910, 3911, 3905, 3904, 3914, 3915, 3938, 3939, 3925, 3924, 3965, 3964, 3963, 3962, + 3942, 3943 +] +private def clayworthGen2Inv : Array (Fin 4032) := + clayworthGen2Inv_chunk0 ++ clayworthGen2Inv_chunk1 ++ clayworthGen2Inv_chunk2 ++ clayworthGen2Inv_chunk3 ++ clayworthGen2Inv_chunk4 ++ clayworthGen2Inv_chunk5 ++ clayworthGen2Inv_chunk6 ++ clayworthGen2Inv_chunk7 ++ clayworthGen2Inv_chunk8 ++ clayworthGen2Inv_chunk9 ++ clayworthGen2Inv_chunk10 +private theorem clayworthGen2Inv_size : clayworthGen2Inv.size = 4032 := by native_decide + +def clayworthGen1 : Equiv.Perm (Fin 4032) where + toFun i := clayworthGen1Fwd[i.val]'(by have := clayworthGen1Fwd_size; omega) + invFun i := clayworthGen1Inv[i.val]'(by have := clayworthGen1Inv_size; omega) + left_inv := by native_decide + right_inv := by native_decide + +def clayworthGen2 : Equiv.Perm (Fin 4032) where + toFun i := clayworthGen2Fwd[i.val]'(by have := clayworthGen2Fwd_size; omega) + invFun i := clayworthGen2Inv[i.val]'(by have := clayworthGen2Inv_size; omega) + left_inv := by native_decide + right_inv := by native_decide + +def clayworthGens : Fin 2 → Equiv.Perm (Fin 4032) + | 0 => clayworthGen1 + | 1 => clayworthGen2 + +theorem clayworthGen1_adj : ∀ u v : Fin 4032, + clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen1 u) (clayworthGen1 v) := by + native_decide + +theorem clayworthGen1_inv_adj : ∀ u v : Fin 4032, + clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen1.symm u) (clayworthGen1.symm v) := by + native_decide + +theorem clayworthGen2_adj : ∀ u v : Fin 4032, + clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen2 u) (clayworthGen2 v) := by + native_decide + +theorem clayworthGen2_inv_adj : ∀ u v : Fin 4032, + clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen2.symm u) (clayworthGen2.symm v) := by + native_decide + +/-! ## BFS witness words -/ + +private def clayworthWitnessData_chunk0 : Array (List (Fin 4)) := #[ + [], [1, 1, 1, 2, 1, 0, 1, 0], [2, 1, 2, 1, 0, 3], [0, 3, 2, 3, 0, 1, 1, 2, 1, 1], [1, 0, 1, 2, 3, 3, 2], [0, 1, 1, 1, 2, 3, 3, 2, 3, 3], [3, 2, 1, 0, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 1], + [2, 3, 3, 2, 3, 0, 1, 2, 1], [3, 2, 1, 1, 1, 0, 1, 1], [1, 1, 0, 3, 3, 2, 3, 3], [1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 2, 1, 0], [0, 1, 2, 1, 1, 1, 0, 3, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3], [0, 1, 2, 1, 0, 1, 1], + [1, 2, 3, 2, 3, 3, 0], [0, 3, 0, 3, 0, 1, 2, 1, 1], [2, 3, 3, 0, 3, 2, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1], [1, 2, 1, 1, 1, 0, 1, 0, 1, 2], [0, 1, 2, 1, 2, 3, 0, 3, 3, 2], [3, 2, 3, 0, 3, 0, 3], [2, 3, 2, 1, 2, 1], + [0, 1, 1, 1, 0, 3, 3], [1, 2, 1, 2, 1, 0, 1], [1, 0, 3, 2, 1, 1, 0, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1], [2, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 2, 3, 0, 1, 2, 3], [3, 0, 3, 0, 1, 0], [1, 1, 0, 1, 1, 2, 3, 3], + [0, 1, 2, 3, 3, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1], [1, 0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 3, 0, 3, 3, 2, 3], [0, 1, 1, 2, 1, 2, 1, 1], [3, 0, 3, 3, 2, 1, 1, 0, 1], [1, 2, 1, 2, 3, 3, 0, 1, 1], [0, 1, 2, 3, 2, 3, 0, 3, 0, 3, 2], + [3, 3, 2, 1, 1, 1, 0, 1], [3, 3, 0, 3, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 3, 0], [1, 0, 1, 1, 2, 1, 2], [0, 1, 1, 0, 3, 2, 3], [2, 1, 1, 2, 3, 0], [1, 1, 0, 3, 2, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 2, 3, 0], + [1, 2, 3, 0, 3, 0], [3, 3, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 1, 0, 1], [2, 3, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1], [2, 1, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3, 0, 1, 1], [2, 3, 0, 3, 0, 3, 0, 3, 3], + [1, 1, 1, 0, 3, 0, 1, 1], [1, 0, 1, 0, 1, 2, 1, 1], [3, 0, 1, 1, 1, 0, 1, 2], [3, 2, 1, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 0, 3, 3], [2, 1, 0, 3, 0, 3, 3, 0], [1, 1, 1, 2, 3, 0, 1, 2], [2, 3, 0, 3, 0, 1, 1, 2], + [0], [1, 1, 1, 2, 1, 0, 1, 2], [2, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 0, 1, 1, 1], [1, 0, 1, 2, 3, 3], [1, 1, 0, 1, 1, 0, 1, 1, 1], [3, 2, 1, 0, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 1, 1, 0], + [0, 1, 1, 2, 1, 0, 3, 0, 3], [3, 2, 1, 1, 1, 0, 1, 1, 0], [2, 1, 1, 2, 1, 2, 3, 2], [1, 1, 2, 1, 1, 1], [1, 1, 0, 3, 0, 3, 2, 1, 2], [1, 2, 1, 2, 1, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 0], [0, 1, 2, 1, 0, 1, 1, 0], + [1, 2, 3, 2, 3, 3, 2], [1, 2, 1, 0, 3, 0, 3, 2, 3], [0, 3, 2, 1, 2, 3, 3, 0, 3], [3, 2, 3, 3, 2, 1, 1, 1, 0], [1, 2, 1, 1, 1, 0, 1, 0, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 3, 0, 3, 0, 3, 0], [2, 3, 2, 1, 2, 1, 0], + [0, 1, 1, 1, 0, 3, 3, 0], [1, 2, 1, 2, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 0, 1, 1, 2, 1, 2, 3], [1, 0, 3, 2, 1, 0, 3], [3, 0, 3, 0, 1, 2], [1, 1, 0, 1, 1, 2, 3, 3, 0], + [0, 1, 2, 3, 3, 0, 1, 0], [1, 0, 3, 3, 0, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 0, 3], [0, 3, 0, 3, 3, 2, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2, 3], [1, 2, 1, 2, 3, 3, 0, 1, 1, 0], [0, 1, 2, 3, 2, 3, 0, 3, 0, 3], + [3, 2, 1, 0, 1, 1, 1, 2, 1], [0, 3, 0, 3, 0, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 2], [1, 0, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 3, 0], [2, 1, 1, 2, 3, 2], [1, 1, 0, 3, 2, 1, 1, 2], [1, 1, 0, 1, 2, 3, 3, 2, 3, 2], + [1, 2, 3, 0, 3, 2], [3, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 2, 1, 1, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1, 0], [0, 3, 3, 2, 1, 2, 1, 2], [3, 3, 0, 3, 3, 2, 1, 0, 1], [0, 1, 0, 1, 0, 3, 2, 3, 2, 3], + [1, 1, 1, 0, 3, 0, 1, 1, 0], [1, 1, 0, 1, 2, 1, 1, 2], [3, 0, 1, 1, 1, 0, 1], [3, 2, 1, 1, 0, 3], [1, 2, 3, 3, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 3, 2], [1, 1, 1, 2, 3, 0, 1], [2, 3, 0, 3, 0, 1, 1], + [3, 0, 1, 0, 1, 0, 3, 2], [2, 3, 3, 2, 1, 1, 2, 1], [1, 2, 1, 1, 2, 1, 2, 3, 0], [2, 1, 2, 3, 3, 0, 3, 0], [1, 0, 1, 0, 3, 3, 2, 1, 0, 3], [1, 1, 0, 3, 2, 3, 0, 1], [0, 1, 0, 3, 2, 3, 0, 3, 0], [1, 2, 3, 0, 1, 1, 0, 1], + [0, 1, 2, 1, 1, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3], [0, 1, 0, 1, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 3, 0, 3], [0, 3, 2, 1, 2, 1, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1, 1, 2, 1, 2], [3, 2, 3, 0, 1, 2], [0, 1, 0, 3, 2, 3, 3, 2], + [1, 0, 1, 0, 3, 0, 3, 2], [2, 1, 1, 2, 1, 1, 0, 1], [2, 1, 0, 1, 0, 1], [0, 1, 1, 0, 3, 3, 0, 1, 1], [3, 0, 1, 2, 1, 2, 3], [1, 2, 1, 1, 1, 0, 3, 0], [0, 1, 1, 2, 3, 3], [1, 1, 1, 0, 1, 0, 1, 2], + [1, 2, 1, 1, 1, 2, 3], [3, 0, 1, 1, 2, 3, 2], [0, 3, 0, 3, 0, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2, 1], [2, 3, 2, 1, 1, 0], [1, 1, 1, 2, 1, 1, 1, 0], [0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 0, 3, 0, 3, 0, 1, 1, 0], + [1, 0, 1, 0, 3, 3, 0, 1, 2, 3], [2, 3, 3, 2, 3, 0, 1, 1, 0], [2, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 2, 3, 0], [0, 1, 1, 1, 0, 1, 2, 3, 3, 0, 3], [3, 2, 1, 2, 1, 1], [1, 1, 0, 1, 2, 1, 2, 1, 1, 0], [0, 1, 1, 0, 1, 0, 3, 0, 3], + [0, 1, 2, 3, 3, 2, 1, 0], [0, 3, 2, 3, 3, 0], [1, 0, 1, 1, 0, 3, 3, 0], [0, 1, 0, 3, 2, 3, 2, 3], [0, 1, 2, 3, 2, 1, 1], [0, 3, 2, 3, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0], + [2, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 3, 2, 1, 0], [2, 1, 2, 3, 3, 2, 3], [1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 2, 3, 3, 2, 1], [2, 1, 1, 0, 3, 3, 2, 3], + [3, 0, 1, 1, 0, 3], [3, 0, 3, 0, 3, 3, 0, 1], [1, 0, 1, 1, 0, 3, 2, 3, 2], [1, 0, 3, 0, 1, 1], [1, 1, 2, 3, 2, 3, 3], [3, 3, 2, 1, 0, 3, 3, 0, 3], [0, 3, 3, 2, 3, 3, 2, 1], [2, 1, 1, 1, 0, 1], + [2], [1, 1, 1, 2, 1, 0, 1], [2, 1, 2, 1, 0, 3, 2], [0, 3, 2, 3, 2, 1, 1, 2, 3, 3], [1, 0, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 1, 2, 3, 2], [1, 0, 3, 0, 3, 2, 1, 1, 2], + [3, 0, 3, 2, 1, 0, 1, 1], [3, 0, 1, 1, 2, 1, 1, 0, 3], [2, 1, 1, 2, 1, 2, 3], [1, 1, 2, 1, 1, 1, 0], [1, 1, 0, 3, 0, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 2], [0, 1, 2, 1, 0, 1, 1, 2], + [1, 2, 3, 2, 3, 3], [0, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1, 2], [3, 2, 1, 2, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3, 0], [3, 2, 3, 0, 3, 0, 3, 2], [2, 3, 2, 1, 2, 1, 2], + [0, 1, 1, 1, 0, 3, 3, 2], [1, 2, 1, 2, 1, 0, 1, 2], [2, 3, 3, 0, 3, 3, 2, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 3, 0, 3], [1, 2, 3, 0, 1, 2, 3], [3, 0, 3, 0, 1], [1, 0, 3, 3, 2, 1, 1, 2, 1], + [0, 1, 2, 3, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 2, 1], [2, 3, 0, 1, 0, 3, 3, 2, 3], [0, 3, 0, 3, 3, 2, 3, 2], [0, 1, 1, 2, 1, 2, 1, 1, 2], [0, 1, 1, 0, 3, 0, 3, 2, 3, 3], [1, 2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 1, 1, 0, 1, 0, 3, 3, 0, 3], + [3, 0, 3, 0, 1, 1, 1, 2, 3], [3, 3, 0, 3, 3, 0, 1, 1, 0, 3], [2, 1, 0, 3, 3], [1, 0, 1, 1, 2, 1, 0], [0, 1, 1, 0, 3, 2, 3, 2], [2, 1, 1, 2, 3], [1, 1, 0, 3, 2, 1, 1], [1, 1, 0, 1, 2, 3, 3, 2, 3], + [1, 2, 3, 0, 3], [3, 3, 2, 3, 0, 3, 0], [1, 0, 1, 1, 0, 1, 1, 0, 1], [3, 2, 3, 3, 0, 1, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1, 2], [0, 3, 3, 2, 1, 2, 1], [1, 1, 0, 3, 2, 3, 3, 2, 3], [1, 1, 0, 1, 1, 1, 2, 1, 1], + [1, 1, 1, 0, 3, 0, 1, 1, 2], [1, 1, 0, 1, 2, 1, 1], [3, 0, 1, 1, 1, 0, 1, 0], [3, 2, 1, 1, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 0, 3], [2, 1, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 2, 1], [2, 3, 0, 3, 0, 1, 1, 0], + [0, 3, 0, 1, 0, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 3, 3, 0], [1, 1, 2, 1, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 2], [0, 3, 0, 3, 3, 2, 1, 0, 1, 1], [1, 2, 3, 2, 1, 1, 0, 1], + [1, 0, 1, 2, 1, 2, 1, 1], [1, 1, 0, 3, 3], [1, 1, 0], [2, 3, 2, 3, 0, 3, 0], [0, 3, 0, 1, 2, 1, 1, 2, 1, 0], [2, 1, 1, 2, 1, 1, 1, 0, 3], [3, 2, 1, 2, 3, 3, 0, 1, 2], [1, 2, 1, 0, 1, 2, 3, 2], + [3, 3, 0, 3, 0, 1, 2], [2, 3, 3, 0, 1], [2, 3, 0, 3, 0, 3, 2], [1, 1, 1, 2, 3, 0, 3, 3, 2], [0, 3, 0, 3, 3, 2, 1, 0], [1, 2, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 2, 1, 0], [2, 1, 1, 2, 3, 0, 1, 1, 0], + [1, 2, 3, 3, 2, 3, 2, 3], [3, 2, 3, 0, 3, 0, 1, 0], [0, 3, 0, 3, 3, 2, 1, 0, 3, 3], [1, 2, 3, 2, 1, 1, 0, 1, 1, 1], [3, 2, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1], + [3, 0, 3, 2, 1, 2, 1], [1, 0, 3, 3, 2, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 2, 1, 1], [0, 3, 0, 1, 0, 1, 1, 1, 2, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 2, 1, 1, 1], [0, 1, 1, 1, 2, 3, 3], + [0, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 3, 2, 3, 2, 1], [0, 1, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 3], [0, 1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 3, 2, 1, 1, 2, 3], [2, 3, 0, 1, 2, 1, 1, 1], [0, 1, 2, 3, 0, 1, 2, 1, 0], + [2, 3, 3, 0, 3], [3, 2, 3, 3, 2, 3, 0], [2, 1, 1, 0, 1, 0, 1, 0], [2, 3, 0, 1, 2, 3], [2, 3, 0, 1, 2, 1], [2, 1, 2, 3, 2, 3, 2, 1], [1, 1, 1, 0, 3, 0, 3, 3, 0], [1, 0, 1, 0, 1, 2, 3, 3, 0], + [1, 2, 1, 2, 3, 2, 3, 0], [1, 2, 3, 0, 3, 0, 1, 1, 0], [3, 3, 2, 3, 0, 1, 1, 2], [3, 0, 3, 2, 1, 2, 3], [1, 2, 3, 3, 2, 3, 2, 1, 1, 1], [3, 2, 1, 1, 1, 0, 3, 3, 0], [2, 1, 2, 1, 0, 1, 0], [2, 1, 0, 1, 1, 0, 1], + [2, 1, 2, 3, 2, 3, 2, 1, 1], [2, 3, 0, 1, 2, 1, 1], [0, 3, 3, 2, 1, 1, 2], [2, 1, 1, 1, 2, 3, 3, 2], [3, 3, 0, 3, 0, 1, 2, 1], [2, 3, 3, 0, 1, 1], [3, 0, 3, 2, 1, 2, 3, 3], [3, 3, 2, 3, 0, 1, 1, 2, 3], + [1, 0, 3, 3, 2, 1, 1, 1, 2], [3, 0, 3, 2, 1, 2], [2, 1, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 2, 3, 3, 0, 3], [1, 0, 1, 2, 1, 2, 3], [1, 1, 0, 1], [0, 1, 1, 1, 2, 3], [0, 1, 0, 3, 0, 3, 2, 3, 3], + [1, 1, 0, 1, 1, 1], [1, 0, 1, 2, 1, 2, 1], [2, 1, 0, 1, 2, 3, 3, 2], [1, 2, 3, 2, 3, 0, 1, 1, 0], [1, 1, 1, 0, 3, 0, 3, 3, 0, 1], [2, 1, 1, 0, 3, 2, 3, 2], [3, 0, 3, 0, 3, 0], [1, 0, 3, 3, 2, 1, 1, 2, 3, 0], + [1, 0, 3, 3, 2, 1, 0, 3, 2, 1], [3, 0, 3, 2, 1, 2, 1, 1], [1, 2, 1, 0, 1, 0, 1, 1, 2], [2, 3, 0, 1, 2, 3, 3], [0, 1, 1, 1, 2, 1, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 2, 3], [3, 0, 3, 0, 3, 0, 1, 1], + [1, 2, 3, 0, 1, 1, 1, 0], [1, 2, 3, 3, 2, 3, 2], [2, 3, 3, 0, 3, 3], [3, 2, 3, 3, 2, 3, 0, 3], [2, 1, 1, 2, 3, 0, 1, 1, 0, 1], [1, 1, 2, 1, 2, 1, 1, 2], [3, 0, 3, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0], + [1, 1, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0], [2, 1, 2, 1, 0, 1, 0, 1], [2, 1, 0, 1, 1, 0], [1, 1, 2, 1, 1, 1, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 3, 3, 0, 1], [1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 0, 3, 3, 2, 1, 0, 3], + [1, 2, 3, 3, 2, 3, 2, 1, 1], [0, 1, 2, 1, 1, 2, 3, 0, 1], [3, 2, 3, 0, 3, 0, 1, 0, 3], [1, 2, 3, 3, 2, 3, 2, 3, 3], [0, 3, 0, 3, 2, 1, 2, 1], [0, 3, 0, 1, 0, 1, 1, 1, 2], [0, 3, 0, 3, 3, 2, 1, 0, 1], [1, 2, 3, 2, 1, 1, 0], + [1, 1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 1], [2, 3, 2, 3, 0, 3, 0, 3], [1, 1, 0, 3], [2, 3, 0, 1, 2], [2, 1, 2, 3, 2, 3, 2], [0, 1, 1, 1, 2, 1], [0, 1, 0, 3, 0, 3, 2], + [3, 0, 1, 0, 1, 0, 3], [0, 1, 0, 1, 1, 2, 3, 3], [0, 1, 0, 3, 3, 2, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1, 2, 3], [3, 3, 0, 3, 3, 0, 3], [0, 1, 0, 3, 2, 3, 0, 3, 2], [1, 2, 3, 0, 1, 1, 0, 1, 0], + [0, 1, 2, 1, 1, 1, 0, 1], [1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 2, 1, 2, 1], [2, 1, 1, 0, 1, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 1, 2], [3, 2, 3, 2, 1, 1, 1, 2, 1], [3, 2, 3, 0, 1], [0, 1, 0, 3, 2, 3, 3] +] +private def clayworthWitnessData_chunk1 : Array (List (Fin 4)) := #[ + [1, 0, 1, 0, 3, 0, 3], [0, 1, 1, 0, 3, 0, 1, 1], [0, 3, 2, 3, 2, 3], [2, 1, 1, 1, 2, 3, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 0], [1, 2, 1, 1, 1, 0, 3, 2], [0, 1, 1, 2, 3, 3, 0], [1, 1, 1, 0, 1, 0, 1], + [1, 2, 1, 1, 1, 2, 3, 0], [3, 0, 1, 1, 2, 3], [2, 1, 2, 1, 1, 1], [1, 2, 1, 1, 2, 1, 0, 3], [2, 3, 2, 1, 1, 2], [1, 1, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 1], [1, 0, 3, 0, 1, 1, 2, 1, 2, 3], + [1, 0, 3, 0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 3, 0, 1, 0, 3], [2, 3, 2, 1, 1, 1, 2, 3], [0, 1, 1, 2, 3, 2, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2, 1, 1], [0, 1, 1, 2, 3, 0, 3], [3, 2, 1, 2, 1, 1, 1, 0, 3], [0, 1, 1, 0, 1, 0, 3, 0, 3, 0], + [0, 3, 3, 0, 3, 2, 1], [0, 3, 2, 3, 3, 2], [0, 3, 3, 0, 1, 1, 2, 1], [0, 1, 0, 3, 2, 3, 2, 3, 0], [0, 1, 2, 3, 2, 1, 1, 0], [0, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 0, 3, 0], [3, 0, 1, 2], + [1, 1, 2, 3, 2, 3, 0, 3], [1, 0, 3, 2, 3, 2, 1, 2], [2, 1, 2, 3, 3, 2, 3, 0], [1, 2, 1, 1], [1, 0, 3, 2, 3, 3, 0, 1], [0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1], [1, 1, 2, 1, 2, 3, 3, 2, 1, 0], [0, 3, 0, 3, 3, 0, 1, 1], + [3, 0, 1, 1, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0], [1, 0, 1, 1, 0, 3, 2, 3], [1, 0, 3, 0, 1, 1, 0], [1, 1, 2, 3, 2, 3, 3, 0], [0, 3, 0, 1, 2, 1, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 3, 0, 3], [2, 1, 1, 1, 0, 1, 0], + [1, 1, 2, 1, 1, 2, 1, 2, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 1], [0, 1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 0, 1], [3, 0, 3, 3, 0, 1], [1, 0, 1, 2, 1, 0, 1, 1], [1, 1, 1, 0, 3, 0, 3, 0, 3, 0], [1, 0, 1, 0, 1, 2, 3, 0, 3, 0], + [3, 3, 0, 1, 0, 1, 1, 0], [1, 1, 0, 3, 3, 2, 1, 1], [3, 3], [2, 3, 2, 3, 0, 1], [0, 3, 3, 2, 1, 0, 1, 2, 3], [3, 2, 1, 1, 0, 3, 2, 3, 3], [1, 1, 0, 3, 2, 1, 1, 0, 3, 3], [0, 1, 1, 2, 3, 2, 1, 1, 0, 1], + [0, 1, 2, 1, 0], [2, 3, 3, 0, 1, 2, 1, 1], [2, 3, 0, 3, 0, 3, 0, 1, 1], [3, 0, 3, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3], [0, 1, 1, 2, 1, 0, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 1, 1], [2, 1, 1, 2, 3, 0, 3, 3], + [2, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0], [0, 3, 0, 1, 1, 1, 0, 3, 2], [0, 3, 0, 3, 0, 1, 2], [1, 2, 3, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 0, 3, 2, 3], [1, 0, 3, 2, 1, 1, 0], + [1, 0, 1, 0, 1, 1, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0], [2, 1, 2, 3, 3, 2, 1, 1, 2], [3, 3, 2, 1, 1, 1, 0, 3], [0, 3, 2, 1, 1, 1, 2, 3], [0, 1, 2, 3, 3, 0, 3], [1, 0, 1, 2, 3, 3, 2, 3, 3], [3, 0, 1, 0, 1, 1, 1, 2], + [0, 1, 2, 1, 1, 2, 1], [1, 0, 3, 0, 3, 2], [0, 1, 1, 1, 0, 1, 1], [1, 2, 1, 2, 1, 0, 3], [1, 0, 1, 1, 2, 1, 2, 3, 3], [2, 1, 0, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 2], + [1, 0, 1, 1, 0, 1, 0, 1], [3, 2, 3, 3, 2, 1], [2, 1, 1, 0, 1, 0, 1, 1, 1], [0, 3, 2, 1, 0, 1], [2, 3, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 3, 0], [1, 0, 1, 0, 1, 2], + [1, 1, 2, 3, 2, 1, 2], [1, 2, 3, 0, 3, 0, 3, 3], [1, 2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 2, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 2], [3, 2, 1, 1, 1, 0], [0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 3, 0, 1, 1, 2], + [1], [2, 3, 2, 3, 0, 3, 3], [2, 1, 2, 1, 0], [2, 1, 0, 1, 1, 0, 1, 2, 3], [1, 0, 1, 2, 3, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 3], [3, 2, 1, 0, 1, 2], [1, 0, 3, 0, 3, 2, 1, 1, 1], + [2, 3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 2, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 3], [1, 1, 2, 1, 1, 1, 2, 1], [2, 3, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 1, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 3], [0, 1, 2, 1, 0, 1, 1, 1], + [1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 0, 3, 0, 1, 2, 1, 1, 1], [2, 3, 3, 0, 3, 2, 3], [3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 2], [0, 3, 2, 1, 2, 1, 0, 3, 0], [3, 2, 3, 0, 3, 0], [1, 1, 2, 3, 0, 3, 2], + [0, 1, 1, 1, 0, 3], [1, 2, 1, 2, 1, 0, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1, 2, 3], [0, 1, 1, 1, 2, 1, 1, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2], [1, 0, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2, 3], + [0, 1, 2, 3, 3, 0, 1, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3, 3], [0, 3, 0, 3, 3, 2], [0, 1, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 2, 3, 0], [3, 0, 1, 0, 3, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 2, 3, 0], + [0, 3, 2, 3, 2, 1, 1, 1, 0], [2, 1, 1, 1, 2, 3, 0, 1, 1, 0], [2, 1, 0, 3, 3, 0, 1], [1, 0, 1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 3, 2], [2, 1, 1, 2, 3, 0, 1], [1, 1, 0, 3, 2, 1, 1, 0, 1], [1, 2, 1, 0, 1, 2, 3, 0, 3], + [1, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 2, 3, 3], [3, 3, 2, 1, 2, 3, 3], [2, 1, 0, 3, 0, 3, 2, 1, 0], [0, 3, 2, 1, 0, 3, 3], [2, 1, 1, 0, 1, 0], [2, 3, 3, 2, 1, 0, 1, 1, 0], [2, 3, 0, 3, 0, 3, 0, 3], + [1, 1, 1, 0, 3, 0, 1, 1, 1], [2, 1, 1, 2, 1, 0, 1, 0], [0, 3, 0, 1, 2, 1, 1, 2], [3, 2, 1, 1, 0, 3, 2, 1], [0, 3, 0, 3, 2, 1, 0, 3], [3, 3, 2, 3, 3, 0, 1, 2], [1, 1, 1, 2, 3, 0, 1, 2, 1], [1, 0, 3, 0, 3, 3, 2, 3, 2], + [2, 3, 0, 1, 0, 1, 0, 3, 2], [3, 3, 2, 1, 1, 2, 1], [1, 1, 0, 1, 0, 3, 3, 2], [1, 2, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 3, 2, 3, 3, 2], [0, 3, 0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 0, 1], + [3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 0, 3, 3], [0, 3, 2, 1, 2, 1, 2, 1], [1, 0, 3, 2, 1, 2, 1, 2, 3], [1, 1, 2, 1, 0], [2, 3, 2, 3, 0, 3, 2, 1, 0], [3, 2, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 2, 3], + [0, 1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0], [0, 3, 3, 0, 1, 1, 1], [0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0, 1], [0, 3, 2, 1, 2, 1, 2, 3, 3], [0, 1, 0, 1, 0, 3, 0, 3], [0, 1, 0, 1, 0, 3, 0, 1, 1], + [3, 0, 3, 2, 3, 2], [1, 0, 3, 3, 2, 1, 2], [0, 1, 0, 3, 3, 0, 3, 3, 0, 3], [1, 0, 3, 2, 3, 3, 2, 1], [1, 1, 0, 3, 3, 0, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 3, 0, 1], + [3, 2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 0, 3, 3, 0, 1, 0, 3], [0, 3, 2, 3, 2, 3, 3, 0, 1], [3, 3, 2, 1, 1, 2, 3, 3], [1, 1, 0, 3, 0, 3, 3, 2], [3, 0, 3, 3, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 2], [3, 0, 1, 2, 3, 0, 3, 3], + [3, 3, 2, 3, 0, 1, 1, 1, 0], [3, 2, 3, 2, 1], [0, 1, 0, 3, 3, 2, 1, 1], [2, 3, 0, 3, 2], [2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 0, 3, 0, 1, 1, 0], [0, 1, 0, 1, 2, 3], [2, 1, 1, 0, 1, 1, 0, 3, 3], + [0, 1, 2, 1, 1, 1, 2, 1], [1, 1, 1, 0, 1, 2, 3, 3], [2, 1, 2, 3, 0, 3, 2, 3], [1, 1, 1, 0, 1, 2, 1], [1, 0, 1, 1, 1, 0, 1, 2], [0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1], [1, 2, 3, 0, 3, 3, 0, 3, 2], + [3, 0, 1, 1, 2, 1, 0, 3, 2, 3], [1, 2, 1, 0, 3, 2, 3, 0, 3], [1, 2, 1, 2, 3, 0, 3, 0, 3, 0], [1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 1, 2, 1, 1, 0, 3, 0, 3, 0], [3, 2, 3, 2, 3, 3], [0, 3, 0, 1, 0, 1, 2], [1, 0, 1, 1, 2, 3, 0], + [1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 1, 0, 3, 2, 3, 3], [0, 3, 3, 0, 1, 1, 2], [0, 1, 0, 1, 0, 3, 3, 0, 1, 2], [1, 1, 1, 2, 1, 1, 1, 2, 3], [3, 3, 2, 1, 1, 0], [1, 0, 3, 0, 3, 0, 1, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0, 3, 3], + [3, 2, 1, 0, 1, 0, 1], [1, 0, 3, 2, 3, 2, 1, 2, 3], [1, 0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 0, 3, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 0, 1], [0, 3, 2, 3, 3, 2, 3], [0, 3, 3, 0, 3, 2], + [2, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 2], [0, 1, 1, 1, 0, 1, 0, 1, 0], [2, 3, 3, 2, 3, 3, 2, 3, 2], [0, 3, 0, 3, 3, 0, 1], [2, 1, 2, 3, 3, 2, 3, 0, 3], [1, 2, 1], + [3, 2, 3, 0], [0, 1, 0, 3, 2, 1, 1, 1], [1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 3, 3, 0, 3, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1], [3, 0, 1, 0, 1, 0, 3, 3], [3, 0, 3, 3, 0, 1, 2, 1, 1, 0], [3, 2, 3, 2, 1, 1, 1, 2], + [3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 1, 2, 1, 1, 0, 3, 0], [3, 0, 1, 2, 3], [1, 2, 1, 1, 1, 0, 3, 2, 3], [1, 1, 2, 1, 0, 1, 1, 2], [0, 3, 2, 1, 2, 1, 0], [3, 0, 1, 0, 3, 3, 0, 3, 3, 0], + [0, 1, 1, 0, 1, 0, 1, 2, 1, 0], [1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 3, 2, 3, 3], [1, 2, 1, 1, 0, 3, 0, 3, 0], [0, 1, 1, 2, 3, 0, 3, 3], [1, 1, 0, 1, 1, 2, 3, 2, 1], [1, 1, 2, 1, 0, 3, 2], [0, 3, 0, 1, 2, 1, 2, 3, 3, 0], + [0, 1, 2, 1, 0, 1, 2, 3, 0], [3, 0, 1, 1, 2, 3, 3], [1, 2, 3, 0, 3, 0, 1, 2, 1], [1, 2, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3, 2], [2, 1, 2, 1, 1], [1, 0, 3, 3, 0, 1, 1, 1, 0, 1], [3, 3, 0, 3, 3, 0, 3, 3], + [0, 1, 0, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 3], [0, 1, 0, 3, 3, 2, 1, 2], [2, 3, 0, 3, 2, 3, 2], [0, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 3, 3, 0, 3], + [0, 3, 0, 1, 0, 1, 0, 3], [0, 3, 0, 3, 2, 1], [2, 3, 3, 2, 3, 3, 0, 3], [3, 2, 1, 1, 1, 2, 3, 0, 1], [1, 1, 0, 1, 1, 0], [1, 0, 1, 2, 1], [1, 1, 1, 0, 1, 2, 1, 2, 3], [1, 2, 3, 2, 1, 1, 0, 1, 0], + [0, 1, 2, 3, 2, 3, 3, 0, 1], [1, 1, 0, 3, 3, 0], [1, 1, 2], [2, 3, 2, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 3, 2, 3], [1, 0, 3, 2, 1, 1, 2, 3, 0, 1], [3, 2, 1, 2, 3, 3, 0, 1], [1, 2, 1, 0, 1, 2, 3], + [3, 3, 0, 3, 0, 1], [2, 3, 3, 0, 1, 0], [2, 3, 0, 3, 0, 3], [1, 1, 1, 2, 3, 0, 3, 3], [0, 3, 0, 3, 3, 2, 1, 2], [3, 2, 1, 0, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 2], [2, 1, 1, 2, 3, 0, 1, 1, 2], + [1, 1, 2, 3, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 0, 1, 2], [1, 1, 0, 1, 0, 3, 3, 0, 3], [3, 0, 1, 2, 1, 2, 1, 0, 1], [3, 2, 3, 2, 3, 3, 2, 3], [3, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 1, 0], + [3, 0, 3, 2, 3, 0, 3], [1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 2, 1, 1, 2, 3, 0, 3], [0, 3, 3, 0, 1, 1, 1, 2, 3], [0, 3, 2, 1, 2, 1, 2, 1, 2, 3], [2, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 1, 1, 1, 2, 1, 2, 3], [0, 1, 1, 1, 2, 3, 3, 0], + [0, 1, 2, 1, 1, 2, 3, 2], [1, 0, 3, 0, 3, 2, 3, 3, 2], [0, 1, 1, 1], [0, 1, 0, 3, 0, 3, 2, 3, 0], [0, 1, 0, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 3, 0, 1, 2, 1, 2], + [2, 3, 3, 0, 3, 0], [3, 2, 3, 3, 2, 3, 2], [2, 1, 1, 0, 1, 0, 1, 2], [0, 3, 2, 1, 0, 3, 2], [2, 3, 0, 1, 2, 1, 0], [2, 1, 2, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 3, 0, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 2, 1], + [1, 2, 1, 2, 3, 2, 3, 2], [3, 0, 1, 0, 1, 1, 0, 1], [3, 3, 2, 3, 0, 1, 1], [3, 2, 3, 2, 1, 2, 3], [1, 2, 3, 3, 2, 3, 2, 1, 1, 1, 0], [3, 2, 1, 1, 1, 0, 3, 3, 2], [2, 1, 2, 1, 0, 1, 2], [2, 1, 0, 1, 1, 0, 1, 0], + [0, 1], [1, 1, 1, 2, 1, 0, 1, 2, 1], [3, 3, 0, 3, 0, 3], [2, 3, 3, 0, 1, 0, 3, 3], [1, 0, 1, 2, 3], [1, 1, 0, 1, 1, 0, 3, 3], [3, 2, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 2, 1, 2, 1, 0], + [0, 1, 1, 2, 1, 0, 3, 0], [0, 1, 0, 1, 0, 3, 2, 1, 1, 2], [0, 1, 1, 2, 1, 1, 0, 1, 0], [1, 1, 2, 3, 3], [2, 1, 2, 1, 2, 1, 2, 3], [1, 2, 1, 2, 1, 1, 1, 0], [3, 2, 3, 2, 3, 0, 3, 2], [3, 0, 1, 0, 1, 1, 0, 3], + [1, 2, 3, 2, 3, 3, 2, 1], [1, 2, 1, 0, 3, 0, 3, 2], [0, 3, 2, 1, 2, 3, 3, 0], [2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 2, 1, 1, 1, 0, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3], [3, 2, 1, 0, 1, 1, 2, 3], [2, 3, 2, 1, 2, 1, 0, 1], + [0, 1, 1, 1, 0, 3, 3, 0, 1], [3, 0, 3, 3, 2, 3, 3, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0], [2, 1, 2, 3, 0, 3, 3, 2], [2, 3, 0, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 0], [3, 0, 3, 0, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 0, 3] +] +private def clayworthWitnessData_chunk2 : Array (List (Fin 4)) := #[ + [0, 1, 2, 3, 3, 0, 1, 0, 1], [2, 3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 0, 1, 0, 3, 0], [1, 1, 1, 0, 3, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2, 3, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2], [0, 3, 0, 1, 0, 3, 3, 2, 1, 2], [0, 1, 2, 3, 2, 3, 0, 3, 0], + [0, 1, 0, 3, 2, 3, 2, 1, 0, 3], [3, 2, 1, 1, 2, 1, 1, 1, 2], [2, 1, 0, 3, 3, 2, 1], [0, 3, 0, 3, 2, 3], [0, 1, 1, 0, 3, 2, 3, 0, 1], [2, 1, 1, 2, 3, 2, 1], [1, 0, 3, 0, 3, 0, 3, 0], [2, 1, 2, 3, 3, 2, 1, 0, 3], + [0, 1, 0, 1, 1, 1, 2], [3, 3, 2, 3, 0], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 3, 3, 0, 3, 3, 2, 3], [0, 3, 2, 1, 0, 1, 1, 1, 0, 1], [1, 0, 3, 0, 3, 3, 0, 3], [0, 1, 2, 3, 0, 1, 1, 2, 3], [0, 1, 0, 1, 0, 3, 2, 3, 2], + [1, 2, 3, 3, 0, 3, 3, 2], [1, 1, 0, 1, 2, 1, 1, 2, 1], [3, 0, 1, 1, 1, 0, 1, 1], [3, 2, 1, 1, 0], [1, 2, 3, 3, 0, 1, 2], [2, 1, 0, 3, 0, 3, 3, 2, 1], [1, 1, 1, 2, 3, 0, 1, 1], [2, 3, 0, 3, 0, 1, 1, 1], + [0, 3, 3, 0, 1, 0, 1, 0, 3], [2, 3, 0, 1, 2, 1, 1, 0], [0, 3, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 3], [3, 3, 0, 3, 0, 1, 2, 1, 0], [2, 3, 3, 0, 1, 1, 0], [3, 0, 1, 1, 2, 1, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1, 1], + [1, 0, 3, 3, 2, 1, 1, 1], [3, 0, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 2, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 3, 0], [1, 1, 0, 1, 0], [0, 1, 1, 1, 2, 3, 0], [0, 1, 2, 3, 3, 2, 3, 2, 1], + [1, 1, 0, 1, 1, 1, 0], [1, 0, 1, 2, 1, 2, 1, 0], [2, 1, 0, 1, 2, 3, 3], [1, 2, 3, 2, 3, 0, 1, 1, 2], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1, 1], [2, 1, 1, 0, 3, 2, 3], [3, 0, 3, 0, 3, 2], [1, 2, 1, 0, 3, 3, 0, 1, 1], + [3, 2, 3, 2, 3, 3, 0, 1, 1], [3, 2, 1, 1, 2, 3, 0, 3], [1, 2, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 3], [0, 1, 1, 1, 2, 1, 1, 1, 0], [1, 1, 0, 1, 0, 3, 2, 3, 2], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 3], [2, 1, 1, 2, 3, 3, 0, 1], + [1, 2, 3, 0, 1, 1, 1, 2], [1, 2, 3, 3, 2, 3], [2, 3, 3, 0, 3, 3, 0], [3, 2, 3, 3, 2, 3, 0, 3, 0], [0, 1, 1, 0, 3, 0, 3, 2, 1, 1, 2], [1, 1, 2, 1, 2, 1, 1], [1, 2, 1, 1, 2, 3, 2, 1, 2], [1, 2, 3, 0, 1, 1, 2, 3, 3], + [1, 1, 1, 2, 1, 0, 3, 2], [2, 3, 3, 2], [2, 1, 0, 3, 2, 3, 2, 3], [2, 1, 0, 1, 1, 2], [2, 1, 1, 2, 1, 0, 3, 2, 3], [1, 1, 2, 1, 2, 3, 3, 0, 1, 2], [1, 2, 3, 2, 1, 1, 0, 3, 3, 0], [1, 2, 3, 0, 3, 3, 0, 1], + [1, 0, 1, 1, 0, 1, 1, 2, 1], [3, 2, 3, 3, 0, 1, 2, 1], [1, 0, 1, 2, 3, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 2, 3, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0], [0, 3, 0, 1, 0, 1, 1, 1], [3, 0, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 1, 2], + [0, 1, 0, 1, 2, 3, 0, 1, 1], [0, 1, 1, 2, 1, 1, 1, 2, 1, 2], [2, 3, 2, 3, 0, 3, 0, 3, 0], [1, 1, 0, 3, 0], [2, 3, 0, 1], [2, 1, 2, 3, 2, 3], [0, 1, 1, 1, 2, 1, 0], [0, 1, 0, 3, 0, 3], + [0, 3, 0, 3, 0, 3, 2, 3], [0, 1, 0, 1, 1, 2, 3, 3, 0], [1, 2, 1, 1, 2, 1, 2, 3], [2, 1, 2, 3, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1, 1], [3, 3, 0, 3, 3, 0, 3, 0], [0, 1, 0, 3, 2, 3, 0, 3], [3, 2, 3, 0, 1, 1, 0, 3], + [0, 1, 2, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 2, 1, 2, 1, 0], [0, 3, 3, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 0], [0, 1, 0, 3, 2, 3, 3, 0], + [1, 0, 1, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 2, 3], [0, 3, 2, 3, 2, 3, 0], [2, 1, 1, 2, 3, 3, 2, 1, 1], [3, 0, 1, 2, 1, 2, 3, 2], [1, 2, 1, 1, 1, 0, 3], [0, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 0], + [1, 2, 1, 1, 1, 2, 3, 2], [3, 0, 1, 1, 2, 3, 0], [2, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1], [2, 3, 2, 1, 1], [1, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 0, 1, 1], + [2, 1, 0, 1, 1, 1, 2, 1, 1], [2, 3, 3, 2, 3, 0, 1, 1], [0, 3, 2, 1, 0, 1, 1, 0, 1], [0, 1, 1, 2, 3, 2, 3], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2, 1], [3, 2, 1, 2, 1, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 2, 1], + [0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 3], [1, 0, 1, 1, 0, 3, 3], [0, 1, 2, 1, 0, 1, 0, 1], [1, 0, 1, 0, 3, 2, 3], [0, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 0, 1, 0, 3, 2], [3, 0, 1], + [1, 1, 2, 3, 2, 3, 0, 3, 0], [1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 0, 1, 2, 3], [1, 2, 1, 1, 0], [1, 0, 3, 2, 3, 3, 0, 1, 0], [0, 1, 1, 2, 3, 3, 0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 1, 0], + [1, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 1, 0, 3, 3], [1, 1, 2, 3, 2, 1, 2, 1, 0, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2], + [0, 1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 1, 1], [1, 1, 1, 0], [2, 3, 2, 3, 2], [1, 0, 1, 1, 0, 1, 2], [3, 2, 3, 3], [2, 3, 0, 3, 2, 3, 0, 3], [0, 1, 0, 3, 3, 2, 1, 0, 3], + [0, 1, 2, 3, 3, 0, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2, 3, 3, 0], [2, 3, 2, 1, 0, 3, 3], [1, 1, 2, 1, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 0, 1], + [1, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 1, 1, 2], [3, 2, 3, 2, 1, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2, 1], + [3, 3, 2, 1], [2, 3, 2, 3, 0, 1, 2, 1], [1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 1, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0, 1], + [0, 3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3], [0, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 1, 0], [1, 1, 0, 3, 3, 2, 1, 0], [0, 3, 3, 0, 3, 0, 3], [1, 2, 1, 1, 0, 3, 0, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2, 3], + [0, 3, 3, 2, 1, 0, 3, 2], [2, 1, 1, 2, 3, 2, 3, 2, 1, 2], [0, 1, 2, 3, 3, 2, 3, 3, 2], [0, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 0, 3], [1, 1, 0, 3, 0, 3, 0, 3, 2], [3, 3, 2, 1, 2, 1, 2, 1], [1, 2, 3, 3, 0, 1, 0, 1, 1], + [3, 0, 3, 3, 2], [1, 0, 1, 2, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 3], [2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0, 3, 0], + [0, 1, 1, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 2, 1, 2, 1], [1, 0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0, 1, 2], [0, 3, 0, 3, 2, 1, 0, 1, 0], + [1, 0, 3, 3, 2, 1, 1, 2], [3, 0, 3, 0], [2, 1, 2, 1, 0, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 2, 1], [1, 2, 1, 0, 3, 3, 0, 1, 2], [3, 0, 3, 0, 3, 2, 3, 2], [3, 2, 1, 0, 3, 2, 1, 1, 2], [3, 0, 3, 2, 1, 0, 1], + [2, 3, 2, 1, 2, 1, 2, 3], [3, 2, 3, 0, 3, 0, 3, 2, 3], [2, 3], [1, 1, 1, 2, 1, 0], [0, 1, 0, 3, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 2, 1], [1, 1, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2, 3, 3, 2], + [1, 1, 0, 1, 2, 3, 3, 2, 3, 3], [1, 1, 0, 3, 2, 1], [1, 1, 2, 1, 1, 2, 1, 1, 0], [0, 1, 1, 1, 2, 3, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3, 2], [1, 2, 1, 1, 2, 3, 2, 1, 1], [2, 3, 3, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 3, 2, 1, 1, 2, 3], + [1, 2, 1, 2, 1, 2, 3, 0], [2, 3, 3, 0, 3, 3, 2, 1], [2, 3, 0, 1, 0, 1], [0, 1, 2, 1, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 2], [0, 3, 3, 2, 1, 2], [1, 1, 2, 1, 1, 1, 0, 3], [2, 1, 1, 2, 1, 2, 3, 3], + [0, 3, 2, 1, 1, 0], [0, 1, 2, 3, 3, 2, 3, 0], [2, 1, 1, 1, 0, 1, 2, 3, 3, 0], [3, 2, 1, 2, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3, 2], [3, 2, 1, 1, 0, 3, 0, 3], [0, 1, 0, 1, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3, 3, 0], + [2, 3, 3, 2, 3, 2], [2, 1, 0, 1, 1, 1], [1, 0, 3, 2, 3, 2, 3, 0], [1, 0, 3, 0, 1, 2, 1, 1], [0, 1, 1, 0, 3, 2, 3, 2, 3], [2, 1, 1, 2, 3, 3], [0, 1, 0, 3, 0, 3, 3, 2], [0, 1, 1, 1, 2, 1, 0, 3, 2], + [3, 2, 3, 3, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 0], [2, 3, 0, 3, 0, 1, 1, 0, 3], [1, 1, 0, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2], [0, 1, 1, 2, 1, 1, 1, 2, 1, 1], [1, 2, 3, 2, 1, 1, 2, 3, 2], [3, 3, 2, 1, 0, 1, 0], + [2, 3, 2, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 3, 0, 1, 2], [1, 1, 0, 1, 2, 1], [1, 0, 1, 1, 2, 3, 2, 1, 2], [2, 1, 1, 2, 1, 1, 1, 2, 3, 2], [2, 3, 0, 1, 2, 1, 1, 2, 1], [1, 2, 3, 0, 3, 3], [1, 2, 3, 3, 2, 3, 0, 1], + [2, 3, 2, 1, 1, 1, 0, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1], [0, 1, 1, 2, 1], [1, 1, 2, 3, 3, 2, 3, 2, 3], [3, 0, 3, 3, 0, 1, 0], [3, 3, 2, 3, 3, 2, 3], [0, 1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3, 2], + [3, 2, 1, 1, 0, 1, 2, 1], [0, 1, 2, 1, 0, 3, 0, 3, 2], [3, 3, 0], [2, 3, 2, 3, 0, 1, 0], [0, 3, 3, 2, 1, 0, 1, 2, 3, 0], [1, 2, 3, 0, 1, 1, 0, 3, 3], [1, 0, 1, 0, 3, 3, 2, 1, 0, 1, 1], [1, 1, 0, 3, 2, 3, 0, 3, 3], + [0, 1, 2, 1, 2], [1, 1, 1, 0, 1, 1, 1, 2, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3, 2], [3, 0, 3, 3, 2, 3, 2], [1, 0, 3, 2, 3, 0, 3, 0], [0, 1, 2, 3, 0, 1, 1, 0, 1], [0, 1, 1, 0, 3, 2, 1, 1, 1, 0], [1, 2, 1, 2, 1, 1, 2, 3], + [3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 1, 0, 3], [0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3, 3], [1, 2, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 2, 1, 1, 2], + [3, 2, 3, 0, 1, 1, 2, 1, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1], [2, 1, 2, 3, 3, 2, 1, 1], [1, 2, 1, 1, 2, 1, 1, 1], [3, 2, 1, 0, 1, 1, 0, 1], [0, 1, 2, 3, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 0, 1, 1], [3, 0, 1, 0, 1, 1, 1], + [0, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 0, 3], [0, 1, 1, 1, 0, 1, 1, 0], [1, 2, 1, 2, 1, 0, 3, 0], [2, 1, 2, 1, 2, 1, 0, 1], [2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 1, 2, 1, 0, 3, 0], [0, 3, 0, 1, 2, 1, 0, 3], + [1, 1, 2, 3, 3, 2, 1, 2], [3, 2, 3, 3, 2, 1, 0], [1, 2, 3, 3, 0, 1, 2, 1, 2, 1], [0, 3, 2, 1, 0, 1, 0], [3, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 2, 3, 0, 3], [1, 1, 1, 0, 3, 2], [1, 0, 1, 0, 1], + [1, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0], [1, 2, 3, 3, 0, 1, 0, 1, 2], [3, 3, 2, 1, 2, 1, 0], [3, 0, 1, 1, 0, 1, 1], [3, 2, 1, 1, 1, 2], [0, 1, 2, 3, 2, 3], [0, 3, 2, 3, 0, 1, 1], + [2, 1, 2, 1, 0, 3, 3], [0, 3, 2, 3, 0, 1, 1, 2, 1], [3], [2, 3, 2, 3, 0, 1, 1], [0, 3, 2, 3, 0, 3, 2, 3, 2], [3, 2, 3, 3, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 0], [0, 1, 2, 3, 0, 1, 2, 3, 3], + [0, 1, 2, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2], [0, 1, 1, 2, 1, 2, 1], [3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 0, 3, 2, 3, 3], [2, 1, 1, 2, 3, 0, 3], [1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 0, 1, 2, 1, 1, 2], + [3, 3, 0, 3, 3, 2, 3, 3, 2], [3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 2, 3, 3, 2, 3], [0, 3, 2, 3, 2, 3, 0, 3, 2], [1, 1, 0, 3, 2, 1, 1, 0, 3], [0, 3, 0, 3, 0, 1, 1, 0, 3, 0], [0, 3, 3, 2, 1, 0, 1, 2], [3, 2, 1, 1, 0, 3, 2, 3], + [1, 1, 1, 0, 1, 1, 0], [2, 3, 2, 3, 2, 1, 1, 0], [1, 0, 1, 0, 1, 2, 1], [1, 1, 1, 0, 3, 0, 1], [0, 1, 2, 1, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 1], [1, 1, 2, 3, 2, 1, 2, 1], [1, 2, 3, 0, 3, 0, 3], + [2, 3, 3, 2, 3, 0, 1, 2], [3, 2, 1, 1, 1, 0, 1], [0, 1, 2, 1, 0, 1], [1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 1, 0, 3, 3, 2, 1, 1, 1], [1, 1, 2, 1, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 0, 1], + [0, 3, 0, 3, 0, 1, 2, 1], [1, 2, 3, 2, 3, 3, 0, 3], [2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 1, 0, 1, 1], [1, 1, 0, 3, 0, 3, 2, 1, 0, 3], [2, 1, 2, 1, 2, 3, 0, 3, 2, 1], [2, 1, 1, 1, 0, 3, 0, 3, 0], [1, 2, 1, 1, 2, 1, 2, 3, 3, 2] +] +private def clayworthWitnessData_chunk3 : Array (List (Fin 4)) := #[ + [3, 0, 3, 3, 0, 1, 1], [3, 0, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1], [1, 2, 1, 2, 1, 0], [1, 0, 1, 1, 2, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3], [0, 3, 0, 1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 2, 3, 3, 0, 1], + [1, 2, 1, 1, 0, 3, 2], [1, 0, 3, 2, 1, 1, 0, 1], [1, 1, 1, 2, 1, 1, 2], [2, 3, 2, 1, 2], [1, 0, 1, 0, 1, 1, 0, 3, 0], [1, 1, 1, 2, 3, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 2, 1, 0, 1, 1, 1], + [3, 0, 1, 0, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1, 1, 2, 1, 1], [0, 3, 0, 1, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 1, 0, 1, 2, 3], [1, 0, 1, 0, 3, 3, 2, 1, 0], [1, 1, 0, 3, 2, 3, 0, 1, 1], [0, 1, 0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 3, 0, 1, 1, 0, 1, 1], + [1, 1, 1, 0, 3, 2, 3, 3], [1, 0, 1, 0, 3], [3, 2, 3, 3, 0, 3, 3, 0], [1, 0, 1, 1, 0, 3, 0], [0, 3, 2, 3, 0, 3, 0, 1, 2], [0, 1, 2, 3, 2, 1, 1, 0, 1, 2], [3, 2, 3, 0, 1, 2, 1], [0, 1, 0, 3, 2, 3, 3, 2, 1], + [0, 3, 3, 0, 3, 2, 1, 1, 2], [0, 3, 2, 3, 3, 2, 1, 2], [3, 3, 0, 3, 3], [2, 3, 2, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2], [1, 2, 1, 1, 1, 0, 3, 0, 1], [0, 1, 1, 2, 3], [1, 1, 1, 0, 1, 0, 1, 2, 1], + [1, 2, 1, 1, 1, 2], [3, 0, 1, 1, 2, 3, 2, 1], [0, 3, 0, 3, 0, 3], [0, 3, 0, 1, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 1, 0, 1], [0, 1, 1, 2, 3, 3, 0, 1, 2], [0, 1, 2, 1, 2, 3, 3], [2, 1, 1, 1, 0, 1, 0, 1, 2], + [1, 0, 1, 0, 3, 3, 0, 1, 2], [0, 3, 2, 3, 2, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3, 0], [3, 2, 1, 2, 1, 1, 1], [1, 1, 1, 2, 1, 1, 1, 2, 1, 2], [0, 1, 1, 0, 1, 0, 3, 0], + [0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 3, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 1, 2], [0, 1, 0, 3, 2, 3, 2], [0, 1, 2, 3, 2, 1, 1, 1], [0, 3, 2, 3, 0], [1, 2, 1, 1, 0, 1, 0], [3, 0, 1, 0, 1], + [2, 3, 2, 1, 1, 1, 0], [1, 1, 1, 2, 3, 3, 0], [2, 1, 2, 3, 3, 2], [1, 2, 1, 1, 2, 1], [1, 0, 3, 2, 3, 0, 3, 0, 3, 3], [0, 1, 2, 3, 0, 1, 1, 0, 3], [3, 2, 1, 1, 0, 1, 2, 3], [2, 1, 1, 0, 3, 3, 2], + [3, 0, 1, 1, 0], [3, 2, 1, 1, 1, 2, 3, 3], [0, 1, 2, 1, 1, 2, 1, 0, 3, 3], [1, 0, 3, 0, 1, 1, 1], [1, 1, 2, 3, 2, 3], [3, 3, 2, 1, 0, 3, 3, 0], [2, 1, 0, 3, 2, 3, 3, 2], [2, 1, 1, 1, 0, 1, 1], + [1, 0], [2, 3, 2, 3, 0, 3, 3, 0], [2, 1, 2, 1, 2], [2, 3, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0], [0, 1, 2, 1, 2, 3, 2, 3], [3, 2, 1, 0, 1], [1, 2, 1, 1, 1, 2, 1, 2, 3], + [0, 3, 2, 3, 3, 0, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 0], [1, 1, 0, 3, 3, 2, 3, 0], [1, 1, 2, 1, 1, 1, 2, 1, 0], [1, 1, 2, 3, 2, 1, 1, 2, 1], [0, 1, 2, 1, 1, 1, 0, 3, 2], [2, 3, 3, 0, 1, 2, 3, 0], [1, 1, 1, 0, 1, 0, 3, 2], + [1, 0, 1, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 2, 1, 2, 1], [3, 3, 0, 3, 2, 3], [2, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3], [0, 3, 2, 1, 2, 1, 0, 3, 2], [3, 2, 3, 0, 3, 2], [1, 1, 2, 3, 0, 3], + [0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 2, 1, 0, 1, 1, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 2, 1, 1], [0, 1, 2, 3, 0, 1], [1, 0, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1, 2, 3, 0], + [0, 1, 2, 3, 3, 0, 1, 1, 0], [1, 0, 3, 3, 0, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 1, 1, 0, 1], + [0, 3, 2, 3, 2, 1, 1, 1, 2], [3, 3, 2, 1, 0, 3, 2, 3, 3], [2, 1, 0, 3, 3, 0, 1, 0], [3, 3, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 3], [3, 3, 0, 1, 2, 1], [3, 0, 1, 1, 2, 1, 1, 1, 2], [1, 2, 1, 0, 1, 2, 3, 0, 3, 0], + [1, 2, 3, 0, 3, 0, 1, 0], [1, 2, 1, 2, 3, 2, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 2, 1, 0, 3, 3, 0], [2, 1, 1, 0, 1, 2], [1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 2, 1, 2, 1, 2, 1], + [1, 1, 1, 0, 3, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 2, 3, 0, 1, 2, 3], [3, 3, 2, 3, 3, 0, 1], [1, 1, 1, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 3, 3, 2, 3], + [0, 1, 0, 1, 0, 3, 2], [0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1], [1, 2, 1, 0, 3, 0], [0, 3, 3, 0, 1, 0, 1, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3, 3], [1, 2, 1, 0, 1, 1, 0], + [3, 2, 1, 1, 2, 1], [0, 3, 0, 1, 1, 2, 1, 2, 1, 0], [3, 2, 3, 2, 3, 0], [0, 3, 3, 0, 1, 2, 1, 1, 1, 2], [1, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2, 1], [0, 1, 0, 1], [3, 3, 2, 3, 2, 3, 3], + [3, 0, 1, 1, 2, 1, 0, 3], [1, 2, 1, 0, 3, 2, 3, 2], [0, 1, 0, 1, 0, 1, 1, 2], [1, 1, 2, 3, 3, 0, 1], [3, 0, 1, 2, 3, 0, 1, 1, 0], [1, 0, 3, 0, 3, 3, 0, 3, 0, 1], [1, 0, 3, 3, 2, 1, 2, 1, 0], [1, 2, 3, 3, 0, 3], + [2, 1, 2, 3, 0, 3, 0, 1, 2], [0, 3, 0, 1, 0, 3, 3, 2, 3], [2, 3, 3, 2, 1, 2, 1, 1], [3, 2, 3, 2, 1, 1, 0], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0], [2, 1, 1, 2, 1, 0, 3, 0, 3], [0, 3, 2, 3, 2, 1, 0, 3], [2, 1, 1, 1, 2, 3, 2, 3], + [3, 2, 3, 2, 1, 1, 2, 3, 2], [1, 0, 1, 2, 3, 0, 1], [1, 0, 3, 2, 1, 2, 1], [1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 0, 1, 0, 3, 2, 1, 1, 1], [0, 1, 0, 1, 2, 1, 1, 1, 0], [1, 0, 3, 2, 3, 3, 2, 3, 0], [1, 2, 1, 2, 1, 1, 1, 2, 1], + [0, 1, 0, 3, 3], [3, 3, 2, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 0, 3, 3, 2], [2, 1, 1, 0, 3, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 1, 2, 3], [2, 1, 2, 3, 0, 3], + [2, 3, 3, 2, 1, 2, 3], [1, 1, 1, 0, 1, 2, 3, 0], [1, 2, 3, 3, 0, 1, 1], [0, 1, 0, 3, 3, 0, 1, 1, 1, 2], [1, 0, 3, 3, 2, 3, 3, 2, 3], [3, 0, 3, 2, 1, 1, 2, 3], [0, 3, 3, 0, 1, 0], [0, 1, 0, 1, 0, 3, 3, 2], + [1, 2, 1, 0, 1, 1, 2, 1, 2], [1, 1, 0, 3, 0, 3, 3, 2, 1, 0], [2, 1, 1, 0, 3, 0, 3], [1, 1, 2, 1, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 3], [3, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 3, 3, 0, 1, 2], [3, 2, 1, 1, 2, 3, 3], + [2, 3, 0, 1, 0, 1, 0, 3], [2, 1, 0, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 3, 3], [1, 2, 1, 1, 2, 3, 0, 1, 1], [2, 3, 3, 2, 3, 3], [2, 1, 0, 1, 1, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 2, 1, 0, 1, 0], + [3, 0, 1, 1, 1, 0, 3, 2], [1, 2, 1, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 2, 1, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 1], [1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 3, 3, 0, 1], [1, 2, 3, 2, 1, 1, 2, 3, 3], + [1, 0, 1, 2, 1, 1, 2], [0, 1, 1, 0, 1, 1, 0, 1], [0, 3, 3, 0, 1, 1, 1, 0], [0, 3, 2, 1, 1, 2, 3], [1, 2, 3, 0, 1, 1, 2, 1, 1], [1, 2, 1, 2, 1, 2, 3, 2, 3], [0, 1, 0, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 0, 3, 0, 1, 1, 0], + [3, 0, 3, 2, 3], [1, 0, 3, 3, 2, 1], [2, 1, 1, 0, 3, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0], [1, 1, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2, 3], [3, 0, 3, 2, 1, 0, 1, 0, 3], [3, 2, 1, 0, 3, 2, 1], + [3, 0, 3, 0, 3, 3, 2, 1, 1], [0, 1, 0, 3, 0, 3, 0, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1], [1, 1, 0, 1, 2, 3, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 1, 2, 3, 2, 1], [0, 3, 0, 1, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3, 3, 0], + [0, 1, 1, 0, 1, 1, 1, 2, 1], [3, 2, 3, 2, 1, 0], [1, 1, 1, 2, 1, 2, 3], [2, 3, 0, 3], [2, 3, 3, 0, 1, 0, 1, 2], [3, 3, 0, 3, 0, 1, 1, 2], [0, 1, 0, 1, 2, 3, 0], [2, 1, 1, 0, 1, 1, 0, 3, 3, 0], + [3, 2, 1, 2, 1, 0, 1, 1], [1, 1, 1, 0, 1, 2, 3, 3, 0], [0, 1, 1, 1, 2, 1, 0, 3, 3], [0, 1, 0, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 1], [0, 3, 3, 2], [1, 1, 2, 1, 0, 1, 1, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3], + [0, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 2, 3, 3, 2, 1], [1, 1, 0, 1, 1, 1, 2, 1, 0, 3], [1, 2, 3, 3, 2, 1, 1, 1], [0, 1, 2, 1, 1, 0, 3, 0, 3, 2], [3, 2, 3, 2, 3, 3, 0], [0, 3, 0, 1, 0, 1], [1, 0, 1, 1, 2, 3, 2], + [0, 3, 0, 3, 0, 3, 2, 1], [3, 2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 1, 2, 1, 2, 1], [2, 1, 2, 3, 3, 0, 1], [1, 1, 1, 0, 1, 2, 1, 2, 1, 2], [0, 3, 2, 3, 3, 0, 1, 2, 1], [0, 1, 0, 3, 2, 3, 0, 1], [3, 2, 3, 0, 1, 1, 0, 1], + [0, 1, 2, 3, 2, 3, 3, 2, 1, 0], [1, 2, 1, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3, 2], [0, 3, 3, 2, 1, 0, 3, 3], [0, 3, 2, 3, 3, 2, 1, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0], [2, 1, 1, 0, 3, 3, 0, 1], [0, 1, 0, 3, 2, 3, 3, 0, 1, 1], + [1, 0, 1, 0, 3, 0, 3, 0, 1, 1], [3, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 0, 3], [2, 3, 0, 3, 3, 2, 3, 0], [3, 0, 1, 1, 2, 3, 2, 1, 2, 1], [1, 2, 1, 1, 1, 0, 1], [3, 3, 2, 1, 0, 3], [1, 1, 2, 3, 2, 3, 2, 1], + [2, 3, 3, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 2, 1, 0, 1], [1, 0, 3, 0, 3, 0, 1, 0, 3], [2, 3, 2, 3, 3], [1, 1, 1, 2, 3], [2, 3, 0, 1, 2, 1, 2, 1, 2, 3], [1, 1, 0, 3, 0, 3, 0, 3, 3], + [1, 2, 3, 0, 3, 2, 3, 2], [2, 3, 3, 2, 3, 0, 3, 3], [0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 3], [0, 1, 1, 2, 3, 2, 1], [2, 1, 2, 3, 3, 2, 1, 2, 1, 0], [3, 2, 1, 2, 1, 1, 2, 1, 1], [1, 1, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 0, 1, 2, 3, 2, 3], + [0, 1, 2, 3, 3, 2, 1, 1, 1], [0, 3, 2], [1, 0, 1, 1, 0], [3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 2], [0, 1, 1, 2, 1, 2, 3, 2, 3], [3, 2, 1, 1, 0, 3, 3, 2], [3, 0, 1, 1, 1], + [0, 1, 1, 1, 0, 1, 2, 3], [1, 0, 3, 3, 0, 3, 0], [0, 1, 2, 1, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1], [2, 3, 2, 1, 1, 0, 1, 2, 1], [2, 1, 2, 1, 0, 3, 0, 3, 2], [2, 1, 1, 1, 0, 1, 1, 2, 1], [1, 2, 3, 2, 3, 3, 2, 3, 2], + [1, 1, 0, 3, 3, 2, 1, 2, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3], [3, 2, 3, 0, 1, 2, 1, 2, 1], [2, 1, 2, 1, 2, 1, 1, 0], [0, 1, 1, 0, 1, 0], [1, 0, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 1, 0, 3, 3, 2], [1, 0, 3, 0, 1, 1, 1, 2, 1], + [2, 1], [1, 1, 1, 2, 1, 0, 1, 1], [2, 1, 2, 1, 0, 3, 2, 1], [0, 3, 2, 3, 2, 1, 1, 2, 3], [1, 0, 1, 2, 3, 3, 0, 1], [2, 3, 3, 2, 1, 0, 1, 0], [3, 0, 3, 0, 1, 1, 0, 3], [0, 1, 2, 1, 1, 1, 0, 3, 3, 0], + [1, 2, 3, 3, 2, 1, 0, 3, 3], [3, 0, 1, 1, 2, 1, 1, 0], [2, 1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 1, 0, 1], [0, 1, 1, 0, 3, 0, 3, 0], [1, 0, 1, 0, 3, 0, 1, 1, 0], [1, 1, 0, 3, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 0, 1, 1, 2, 1], + [1, 2, 3, 2, 3], [2, 3, 0, 1, 1, 1, 0, 3, 3], [1, 2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 0, 3, 3, 0, 1, 0], [3, 2, 1, 2, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3, 2], [3, 2, 3, 0, 3, 0, 3, 2, 1], [2, 1, 1, 2, 1, 2, 1, 2], + [2, 1, 0, 3, 0, 3, 0, 3], [0, 1, 0, 1, 1, 2, 1, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 3, 0], [3, 2, 1, 2, 1, 2, 3, 2], [3, 2, 3, 0, 3, 3, 0], [1, 2, 3, 0, 1, 2], [3, 0, 3, 0, 1, 1], [1, 0, 3, 3, 2, 1, 1, 2, 1, 1], + [0, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 1, 0, 3, 3, 2], [0, 3, 0, 3, 3, 2, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 0, 3, 2, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3, 3], [1, 1, 1, 0, 1, 0, 3, 3, 0], + [3, 0, 3, 0, 1, 1, 1, 2], [3, 3, 0, 3, 3, 0, 1, 1, 0], [2, 1, 0, 3], [1, 0, 1, 1, 2, 1, 0, 1], [0, 1, 1, 0, 3, 2, 3, 2, 1], [2, 1, 1, 2], [0, 3, 0, 3, 3, 0, 3, 0], [1, 1, 0, 1, 2, 3, 3, 2], + [1, 2, 3, 0], [3, 2, 3, 0, 3, 3, 2, 3], [2, 3, 3, 2, 1, 1, 0, 3, 2], [3, 2, 3, 3, 0, 1, 0, 1, 1], [0, 3, 2, 3, 2, 1, 1, 0], [0, 3, 3, 2, 1, 2, 1, 1], [1, 1, 0, 3, 2, 3, 3, 2], [1, 1, 0, 1, 1, 1, 2, 1, 1, 1], + [3, 0, 1, 2, 1, 1, 1, 0], [1, 1, 0, 1, 2, 1, 1, 1], [3, 0, 1, 1, 1, 0, 1, 0, 1], [3, 2, 1, 1, 0, 3, 0, 1], [0, 1, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 0, 3], [1, 1, 0, 1, 0, 3, 2, 1, 1], [2, 3, 0, 3, 0, 1, 1, 0, 1] +] +private def clayworthWitnessData_chunk4 : Array (List (Fin 4)) := #[ + [0, 3, 3, 0, 1, 2, 3, 0, 1], [3, 3, 0, 3, 0, 1, 1, 0, 3], [0, 3, 3, 0, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0, 1], [1, 1, 1, 2, 1, 1, 1, 2, 3, 0], [3, 3, 2, 1, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3], [3, 0, 1, 2, 3, 0, 1, 1, 1], + [3, 0, 3, 2, 3, 2, 3], [1, 0, 3, 3, 2, 1, 2, 3], [3, 3, 0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1], [1, 1, 0, 1, 0, 3, 3, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 1, 0], [0, 3, 2, 3, 3, 2, 3, 0], [0, 3, 3, 0, 3], + [2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 1, 2], [0, 1, 0, 1, 2, 3, 3], [0, 1, 1, 1, 0, 1, 0, 1, 2], [2, 3, 3, 2, 3, 3, 2, 3], [0, 3, 0, 3, 3, 0, 1, 0], [2, 1, 2, 3, 3, 2, 3, 0, 3, 0], [1, 2, 1, 0], + [3, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0], [1, 2, 1, 0, 1, 1, 1], [3, 0, 1, 1, 1, 0, 3, 0, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1, 0], [1, 2, 1, 0, 3, 2, 3, 0, 1], [1, 1, 2, 1, 0, 1, 2, 1, 0, 1], [3, 2, 3, 2, 1, 1, 1], + [1, 0, 3, 3, 2, 3, 3, 2, 3, 2, 1], [1, 2, 1, 0, 3, 2, 3, 0, 3, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2], [3, 0, 1, 2, 3, 0], [1, 2, 1, 1, 1, 0, 3, 2, 3, 0], [1, 1, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 2, 1, 0, 1], + [0, 1, 1, 0, 1, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 2], [0, 3, 2, 3, 2, 3, 3, 0], [1, 2, 1, 1, 0, 3, 0, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3], [2, 1, 1, 0, 3, 0, 3, 2, 1], + [0, 1, 2, 1, 0, 1, 2, 3, 2], [3, 0, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 3, 0, 1, 0, 1], [3, 2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3], [2, 1, 2, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 0, 1, 0, 3], + [0, 1, 0, 1, 2, 1], [2, 1, 1, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 1, 2, 3, 2], [0, 1, 0, 3, 3, 2, 1], [2, 3, 0, 3, 2, 3], [0, 1, 2, 1, 1, 1, 2], [0, 3, 2, 1, 1, 1, 0, 3, 2], + [0, 3, 0, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 0], [1, 1, 1, 0, 1, 2, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 2], + [0, 3, 3, 0, 3, 0, 3, 2, 3], [1, 1, 0, 3, 3, 2], [1, 1], [2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 2, 1], [3, 2, 1, 1, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 0], [1, 2, 1, 0, 1, 2, 3, 0], + [0, 1, 2, 1, 0, 3, 3], [2, 3, 3, 0, 1, 2], [2, 3, 0, 3, 0, 3, 0], [1, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 3, 2, 1], [2, 1, 1, 2, 3, 0, 1, 1], + [1, 1, 2, 3, 0, 3, 2, 1], [3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 3, 2, 3], [0, 3, 0, 3, 0, 1, 2, 3, 3], [3, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 1, 2], + [3, 0, 3, 2, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0, 1, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 1, 2], [0, 3, 2, 3, 2, 1, 1, 1, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1], [3, 0, 3, 0, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 1, 1], [0, 1, 1, 1, 2, 3, 3, 2], + [0, 1, 2, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 3, 3], [0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 3, 2], [0, 1, 0, 1, 2, 3, 2, 3, 0], [2, 1, 0, 3, 3, 0, 1, 1], [2, 3, 0, 1, 2, 1, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2, 1], + [2, 3, 3, 0, 3, 2], [3, 2, 3, 3, 2, 3], [2, 1, 1, 0, 1, 0, 1], [0, 3, 2, 1, 0, 3], [2, 3, 0, 1, 2, 1, 2], [2, 1, 2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 3, 0, 3, 3], [1, 0, 1, 0, 1, 2, 3, 3], + [1, 2, 1, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 1, 1], [3, 3, 2, 3, 0, 1, 1, 0], [3, 3, 2, 1, 2, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 1, 0, 1, 2], + [1, 1, 1, 2, 3, 0, 3], [2, 3, 0, 3, 0], [2, 3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 1], [3, 2, 3, 2, 1, 2], [3, 3, 2, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 1, 1, 1, 0], + [0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1, 1, 2], [3, 3, 0, 3, 0, 1, 1], [2, 3, 3, 0, 1, 0, 1], [3, 2, 1, 0, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 1, 0, 3, 2, 1, 2, 1], + [0, 3, 3, 0, 1, 1, 1, 2], [0, 3, 2, 1, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 3, 3, 2, 1], [0, 1, 2, 1, 1, 2, 3, 2, 1], [1, 2, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1, 2, 1, 0], [2, 1, 2, 1, 2, 1, 2, 1, 1], [0, 3, 2, 1, 2, 1, 2, 1, 2], + [1, 2, 1, 0, 3, 3, 2], [3, 0, 1, 1, 1, 0, 3], [0, 3, 2, 1, 2, 1, 2, 3, 3, 2], [3, 3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 1, 1, 2, 3, 3, 0, 1], [0, 1, 2, 1, 1, 1, 2, 1, 2], [3, 2, 1, 2, 3, 3, 0, 1, 1], [1, 2, 1, 0, 1, 2], + [1, 1, 1, 0, 1, 2, 1, 2], [2, 1, 2, 3, 0, 3, 2, 3, 2], [2, 3, 3, 2, 3, 3, 0], [2, 1, 0, 1, 1, 1, 0, 3, 0], [0, 1, 1, 1, 2, 1, 1, 0, 1], [1, 2, 1, 2, 3, 0, 3, 0, 3], [2, 1, 0, 1, 1, 0, 1, 0, 1], [2, 1, 2, 1, 0, 1, 2, 1], + [2, 1, 1, 0, 1, 0, 1, 2, 1], [0, 3, 2, 1, 0, 3, 2, 1], [3, 2, 3, 2, 3, 3, 2], [0, 1, 2, 1, 1, 0, 3, 0, 3], [3, 3, 2, 1, 1, 2, 1, 2], [2, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 0, 1, 2, 3, 0, 3, 3], [0, 1, 2, 1, 0, 3, 2, 3, 0, 3], + [1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 1, 0, 1, 0], [1, 0, 1, 1, 2, 3], [0, 1, 1, 0, 3, 2, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 2, 3, 2], [0, 3, 3, 2, 1, 1, 2, 3, 0, 1], + [1, 1, 0, 3, 3, 0, 1], [0, 1, 2, 3, 2, 3, 3, 0, 1, 1], [1, 1, 2, 3, 0, 3, 2, 1, 2, 1], [3, 2, 3, 0, 3, 0, 1, 2, 1], [1, 0, 3, 3, 2, 1, 0], [3, 0, 3, 2, 3, 0], [0, 3, 3], [1, 0, 1, 1, 1, 0, 1, 0], + [0, 1, 0], [3, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 0, 3, 0, 1], [0, 1, 1, 0, 3, 3, 2, 1, 2], [1, 0, 1, 2, 3, 0], [1, 1, 0, 1, 1, 0, 3, 3, 0], [3, 2, 1, 2, 1, 0, 3, 2, 1], [0, 3, 0, 1, 2, 1, 2, 1, 2], + [0, 1, 1, 2, 1, 0, 3, 2], [0, 1, 0, 1, 0, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 2, 1], [1, 1, 2, 3, 3, 0], [2, 1, 2, 1, 2, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 1, 2], [3, 2, 3, 2, 3, 0, 3], [3, 0, 1, 0, 1, 1, 0, 3, 0], + [0, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 0, 3, 0, 3], [0, 3, 2, 1, 2, 3, 3, 2], [0, 3, 2, 3, 2, 1, 0, 3, 3], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 1, 2, 3, 0, 3, 0], [2, 1, 1, 0, 3, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 3], + [1, 2, 1, 0, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2], [1, 1, 0, 1, 0, 1, 2, 1], [2, 1, 2, 3, 0, 3, 3], [2, 3, 0, 1, 1, 2, 1], [1, 0, 3, 2, 1, 2], [0, 3, 3, 0, 1, 0, 3], [1, 1, 0, 3, 0, 1, 2, 1], + [3, 2, 3, 2, 1, 1, 0, 3], [2, 3, 3, 2, 1, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2], [1, 1, 1, 0, 3, 3, 2], [0, 1, 1, 1, 0, 1, 1, 2, 3, 2], [1, 2, 1, 0, 1, 1, 0, 3], [0, 3, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 3, 2, 3, 0, 3, 2], + [0, 1, 0, 3, 3, 0, 1, 2, 3], [3, 2, 1, 1, 2, 1, 1, 1], [2, 1, 0, 3, 3, 2, 1, 0], [0, 3, 0, 3, 2, 3, 0], [0, 3, 3, 0, 3, 3, 0, 3], [2, 1, 0, 1, 2, 3, 2, 1], [1, 0, 3, 0, 3, 0, 3, 2], [3, 0, 3, 2, 1, 1, 2, 1], + [0, 1, 0, 1, 1, 1], [3, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1, 2, 1], [2, 1, 0, 3, 2, 3, 0, 1], [3, 0, 1, 2, 3, 0, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 1, 0, 3, 2, 3], + [1, 2, 3, 3, 0, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 0, 3], [3, 0, 1, 1, 1, 0, 1, 1, 0], [3, 2, 1, 1, 2], [1, 2, 3, 3, 0, 1], [3, 3, 2, 1, 2, 1, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 1, 1], [2, 1, 0, 1, 2, 3, 2, 3, 3], + [3, 3, 0, 1, 2], [0, 1, 1, 0, 3, 3], [0, 1, 1, 2, 1, 1, 2], [1, 1, 2, 3, 3, 2, 3, 0], [1, 2, 1, 2, 3, 3, 2, 1, 2], [0, 3, 0, 1, 1, 1], [1, 0, 1, 2, 1, 0, 3, 0, 3], [1, 2, 1, 2, 1, 1, 0], + [1, 2, 1, 2, 1, 0, 1, 1, 0, 3], [0, 1, 1, 1, 0, 3, 0, 3], [1, 1, 2, 3, 0, 3, 3], [3, 2, 3, 0, 3, 2, 3], [2, 3, 0, 1, 1, 0, 1, 1, 2, 3], [2, 1, 2, 1, 2, 3], [2, 1, 0, 1, 2, 1, 0, 1], [3, 3, 0, 3, 2, 3, 3], + [0, 3, 0, 1, 1, 0, 1, 1], [1, 2, 1, 2, 3, 2, 3, 3, 0, 3], [1, 0, 1, 0, 1, 1, 2], [1, 1, 1, 0, 3, 2, 1, 2], [2, 3, 2, 1, 0, 1, 0], [1, 1, 1, 2, 1, 1, 0, 1, 0], [1, 0, 3, 0, 3, 2, 1, 2, 1, 0], [1, 1, 2, 1, 2, 3, 3, 2, 3, 2], + [3, 3, 2, 3, 3, 0], [0, 1, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 1, 1, 2, 1, 2, 3, 3], [3, 2, 1, 0], [0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 0], [1, 2, 3, 0, 1, 1, 0, 3, 2], [2, 3, 3, 2, 1, 1, 1, 0, 1], [1, 2, 3, 3, 2, 1, 1, 2, 1, 1], + [0, 3, 0, 1, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2], [0, 3, 2, 1, 2, 1, 1, 1, 0], [0, 1, 2, 1, 1, 1, 0, 3, 2, 3], [1, 1, 2, 3, 2, 1, 1, 2], [0, 3, 2, 1, 2, 1, 0, 3, 2, 3], [2, 1, 1, 0, 3, 2, 1, 1, 0, 1], + [3, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 1], [1, 0, 3], [0, 3, 3, 2, 3, 2, 1, 1], [0, 3, 3, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0], [0, 1, 2, 1, 2, 1, 2], + [0, 1, 2, 3, 0], [1, 0, 1, 1, 1, 2, 1], [1, 0, 3, 3, 0, 1, 1], [1, 0, 1, 2, 3, 2, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 2, 3, 2], [0, 3, 3, 0, 3, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 3, 2, 3], + [0, 1, 0, 3, 0, 1, 1, 0, 1], [3, 0, 3, 3, 2, 1, 1, 1, 0], [3, 2, 1, 1, 0, 1, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0], [1, 0, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 0, 1, 0, 3, 0, 1], [0, 3, 0, 3, 2, 3, 2, 3, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], + [2, 3, 2, 1, 1, 0, 3, 2, 1], [2, 3, 0, 1, 2, 1, 1, 2], [0, 3, 3, 2, 1, 1, 0], [2, 1, 1, 1, 2, 3, 3, 0], [1, 0, 3, 2, 3, 2, 3, 0, 3], [1, 0, 3, 0, 1, 2, 1], [2, 1, 0, 3, 0, 3, 0, 1, 1], [0, 1, 0, 1, 1, 2, 1, 2, 1, 1], + [1, 0, 3, 3, 2, 1, 1, 1, 0], [3, 0, 3, 2, 1, 0], [2, 1, 1, 2, 1, 1, 1], [0, 1, 1, 0, 3, 2, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 3, 2], [1, 1, 0, 1, 2], [0, 1, 1, 1, 2, 3, 2], [0, 1, 0, 3, 0, 3, 2, 3, 3, 2], + [1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 1, 2, 1, 2], [2, 1, 0, 1, 2, 3, 3, 0], [1, 2, 3, 2, 3, 0, 1, 1], [1, 1, 1, 0, 3, 0, 3, 3, 0, 1, 2], [3, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3], [1, 0, 3, 3, 2, 1, 1, 2, 3], + [3, 0, 3, 0, 1, 1, 0, 1, 1], [3, 0, 3, 2, 1, 2, 1, 1, 2], [1, 2, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 1, 0, 3, 2, 3], [3, 2, 3, 0, 3, 0, 3, 2, 3, 3], [2, 1, 1, 2, 3, 3, 0, 1, 0], + [1, 2, 3, 0, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0], [2, 3, 3, 0, 3, 3, 2], [1, 2, 1, 2, 1, 2, 3, 0, 3], [0, 1, 1, 0, 3, 0, 3, 2, 1, 1], [1, 1, 2, 1, 2, 1, 1, 0], [1, 2, 1, 1, 2, 3, 2, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1], + [1, 1, 1, 2, 1, 0, 3], [2, 3, 3], [2, 3, 3, 2, 3, 2, 3], [2, 1, 0, 1, 1], [1, 1, 2, 1, 1, 1, 0, 3, 3], [1, 1, 2, 1, 2, 3, 3, 0, 1], [3, 2, 1, 1, 0, 3, 0, 3, 3], [1, 2, 3, 0, 3, 3, 0, 1, 0], + [0, 1, 1, 1, 2, 1, 0, 3, 2, 3], [0, 1, 0, 3, 0, 3, 3, 2, 3], [3, 2, 3, 3, 0, 1, 0, 3], [1, 0, 1, 1, 0, 1, 1, 0, 3], [0, 3, 0, 3, 2, 1, 2, 1, 2], [0, 3, 0, 1, 0, 1, 1, 1, 0], [2, 3, 0, 1, 1, 1, 0, 1], [1, 2, 3, 2, 1, 1], + [1, 1, 0, 3, 0, 3, 2, 3], [0, 1, 1, 2, 1, 1, 1, 2, 1], [2, 3, 2, 3, 0, 3, 0, 3, 2], [1, 1, 0, 3, 2], [2, 3, 0, 1, 0], [2, 1, 2, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0], + [1, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [0, 1, 1, 0, 1, 1, 0], [2, 1, 0, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1], [2, 1, 0, 1, 1, 1, 0, 3, 3], [1, 2, 3, 0, 1, 1, 2, 1], [0, 1, 1, 1, 0, 3, 0, 3, 3, 2], + [3, 0, 1, 1, 2, 1, 2, 1, 1], [3, 2, 1, 0, 3, 2], [0, 1, 1, 0, 1, 1, 1, 2], [3, 2, 3, 2, 1, 0, 3], [0, 3, 0, 1, 0], [1, 0, 1, 1, 2, 3, 2, 3], [1, 0, 1, 1, 1, 0], [0, 3, 3, 2, 3] +] +private def clayworthWitnessData_chunk5 : Array (List (Fin 4)) := #[ + [3, 0, 3, 0, 3, 3, 2, 1], [3, 0, 1, 1, 0, 3, 3, 0, 1], [1, 1, 0, 3, 0, 1, 1, 1], [0, 1, 1, 2, 1, 1, 2, 3, 2], [2, 3, 0, 3, 3], [1, 2, 3, 2, 1, 2, 1], [3, 2, 3, 2, 3, 3, 0, 3], [3, 2, 1, 1, 2, 3, 0, 1, 1], + [1, 0, 1, 0, 1, 1, 1, 0, 1], [2, 3, 3, 0, 1, 0, 1, 2, 3], [1, 0, 3, 3, 2], [3, 0, 3, 2, 3, 3], [1, 2, 3, 0, 3, 3, 0, 3, 3], [2, 3, 2, 1, 1, 0, 3, 0, 1], [2, 3, 2, 3, 3, 2, 1, 0], [1, 1, 0, 1, 2, 3, 2, 1], + [1, 2, 1, 1, 2, 3, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 2, 3, 0, 3, 3, 0], [1, 0, 1, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 0, 1], [1, 1, 1, 0, 1, 2, 3, 3, 0, 3], [1, 2, 1, 2, 1, 1, 0, 3, 2], [0, 1, 1, 2, 1, 1, 1, 0, 1], + [0, 3, 0, 1, 1, 2], [0, 3, 0, 3, 0, 1, 1, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1], [2, 1, 1, 0, 3, 2, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3, 0, 1, 0], + [1, 0, 3, 3, 0, 1, 2], [0, 3, 2, 1, 1, 2, 3, 3], [0, 3, 2, 3, 0, 1, 2, 1, 1, 0], [0, 3, 0, 1, 1, 0, 1, 2], [2, 1, 2, 1, 2, 3, 3, 2], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1, 1], [0, 1, 0, 3, 0, 1, 1], + [2, 1, 1, 2, 1, 1, 2, 1], [3, 2, 1, 0, 3, 3, 0], [1, 1, 2, 1, 2, 3], [1, 1, 2, 1, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 1, 1, 1], [2, 1, 0, 3, 2, 3, 2, 1, 1], [3, 0, 1, 1, 1, 2, 1, 1, 2], [1, 2, 3, 3, 2, 1, 1], + [2, 3, 3, 2, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3, 2, 1], [3, 0, 1, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 3, 0, 3, 3], [0, 1, 2, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 1, 2, 3, 0, 1, 2], + [3, 0, 3, 2, 1, 1, 1, 2], [0, 3, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 1, 2, 1, 1, 1], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2], [0, 1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 0, 3, 2, 3, 2, 1, 0, 3], [2, 3, 2, 1, 1, 1, 0, 3, 3], + [2, 1, 1, 2, 1, 1, 0], [1, 0, 1, 0, 3, 0, 3, 2, 3], [0, 1, 1, 0, 3, 3, 0, 1], [2, 1, 0, 1, 0], [2, 1, 1, 0, 3, 2, 1, 2], [3, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 1, 0, 3, 0, 3, 3], [3, 2, 3, 2, 1, 0, 3, 3, 2], + [3, 0, 1, 1, 2, 3, 2, 3], [1, 2, 1, 1, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2], [0, 3, 0, 3, 0, 1, 1, 1], [1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1, 2], [3, 0, 3, 0, 3, 2, 1, 1, 2], [1, 1, 2, 3, 2, 1, 1, 1], + [2, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 0, 1, 1, 2, 1, 2, 1, 0], [0, 1, 0, 3, 2, 3, 2, 3, 3], [0, 1, 0, 1, 1, 0, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2], [2, 1, 1, 0, 3, 3, 2, 3, 3], [1, 2, 3, 0, 1, 1, 0], [1, 2, 3, 3, 2, 3, 0, 3, 0], + [1, 1, 1, 0, 3, 2, 1, 1], [1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 2, 3, 2, 3, 0, 3], [2, 1, 0, 3, 2, 3, 2, 1, 2], [1, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 3, 3, 2, 1, 0, 3, 3], [1, 1, 0, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 3, 0, 3], + [3, 3, 2, 3, 3, 2, 1], [1, 2, 3, 3, 2, 1, 2], [3, 0, 3, 0, 3, 3, 0], [3, 0, 1, 1, 0, 3, 3], [2, 1, 1, 1, 0], [0, 3, 3, 2, 3, 3, 2], [1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2], [3, 2, 1, 2, 1], + [1, 2, 1, 1, 2, 3], [1, 1, 0, 1, 0, 1, 1, 2], [0, 3, 0, 1, 1, 1, 0, 1], [2, 3, 2, 1, 1, 0, 3], [1, 1, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 2, 1, 1], [0, 1, 0, 1, 1, 0, 3, 0, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1, 1], + [1, 1, 1, 0, 1, 0, 3, 3, 2], [2, 3, 0, 1, 0, 3, 3, 2, 1], [0, 1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 1, 2, 1, 1, 1, 2, 3], [2, 1, 0, 3, 0, 3, 0, 3, 0], [1, 2, 3, 3, 2, 1, 0, 3], [1, 1, 0, 3, 0, 1, 1, 0, 3], [3, 0, 3, 0, 1, 1, 0, 3, 0], + [1, 1, 2, 1, 1, 1, 0, 1, 1], [2, 1, 1, 2, 1, 2, 1], [2, 3, 0, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3, 3, 2], [1, 1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 0, 3, 2, 3, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 3, 0, 3, 2], + [1, 0, 1, 1, 0, 3, 2, 1, 1, 2], [1, 2, 3, 2, 3, 0], [1, 2, 3, 0, 1], [3, 2, 3, 0, 3, 3, 2], [3, 0, 3, 0, 1, 1, 0], [3, 0, 3, 0, 3, 2, 1, 0, 1, 2], [1, 2, 3, 3, 2, 1, 0, 3, 3, 0], [3, 0, 1, 1, 2, 1, 1, 2], + [1, 0, 1, 2, 3, 3, 0, 1, 0], [2, 3, 3, 2, 1, 0, 1, 2], [3, 2, 1, 2, 1, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 3, 2], [0, 3, 0, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 2, 3, 2, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3], + [0, 3, 0, 3, 3, 0, 3, 2], [1, 1, 0, 1, 2, 3, 3], [2, 1, 1, 2, 1], [1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 0, 3, 3, 2, 3, 0, 3], [1, 2, 3, 0, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 2], [2, 1, 0], + [2, 1, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 0, 1], [3, 0, 3, 0, 1, 1, 1], [3, 0, 1, 1, 0, 3, 3, 2, 3], [2, 1, 1], [0, 3, 3, 2, 3, 3, 0, 3], [0, 1, 2, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 0, 1, 0, 3, 2], + [2, 3, 0, 1, 1, 1, 0, 3], [1, 2, 3, 2], [0, 3, 3, 2, 1, 1, 0, 3, 3], [0, 3, 2, 3, 2, 1, 1, 0, 1], [1, 1, 0, 3, 2, 3, 3], [1, 1, 0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 0, 3], + [3, 2, 1, 1, 0, 3, 0, 1, 1], [0, 1, 1, 2, 3, 0, 1, 1, 2], [3, 2, 1, 0, 1, 0, 3, 0, 1], [0, 1, 2, 3, 3, 0, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 2], [2, 3, 3, 2, 1, 1, 0, 3], [2, 3, 0, 3, 0, 1, 1, 0, 1, 1], + [1, 0, 3, 3, 0, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3], [3, 0, 1, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1], [0, 3, 2, 1, 1, 1, 0, 1], [0, 1, 2, 3], [0, 3, 0, 1, 2, 1, 2], [1, 1, 1, 0, 3, 0, 1, 2, 1], + [3, 0, 3, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 2, 1], [1, 1, 2, 3, 3, 2, 3], [0, 1, 1, 2, 1, 1, 0], [0, 1, 2, 1, 1, 2, 1, 2, 3, 3], [1, 0, 3, 0, 3, 0, 3, 3], [2, 3, 0, 3, 0, 1, 1, 1, 2, 3], [1, 1, 1, 2, 3, 0, 1, 1, 2, 3], + [1, 1, 2, 3, 0, 3, 3, 2], [3, 2, 3, 0, 3, 2, 3, 2], [0, 1, 1, 0, 3, 3, 2], [3, 3, 0, 1, 0], [2, 1, 2, 1, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 2], [2, 1, 0, 1, 2, 1, 0, 1, 2], + [1, 0, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 1, 2, 1, 0, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2, 3, 0], [0, 3, 0, 3, 0, 1, 1, 0], [1, 0, 3, 2], [0, 3, 3, 2, 3, 2, 1, 1, 2], [2, 1, 1, 0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 2, 1, 1, 0], + [1, 2, 1, 1, 0, 3, 0, 1], [0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [3, 3, 2, 1, 2, 1, 2, 3, 3], [1, 2, 3, 3, 0, 1, 0, 3], [0, 1, 2, 1, 1, 2, 1, 1, 2, 1], [1, 0, 3, 0, 3, 2, 1, 2, 1], [0, 3, 2, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 3, 3, 0, 1], + [1, 1, 1, 0, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0], [0, 3, 0, 3, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 3, 2, 1], [0, 3, 3, 0, 3, 0, 1, 1], [0, 3, 2, 3, 3, 2, 3, 2, 1, 1], [1, 2, 1, 2, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 2, 1], + [3, 3, 2, 3, 3], [0, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 1, 1, 2, 1, 0], [3, 0, 1, 1, 0, 1, 1, 1, 0], [2, 1, 1, 1, 0, 3, 0], [0, 3, 3, 2, 3, 3, 2, 3, 0], [2, 3, 2, 3, 0, 1, 1, 2, 1], [3, 2, 1], + [2, 3, 2, 1, 0, 1], [1, 1, 1, 2, 1, 1, 0, 1], [0, 3, 0, 1, 1, 1, 2], [1, 2, 1, 2, 3, 3, 2, 1, 0], [1, 1, 1, 0, 1, 1, 1], [0, 1, 2, 1, 2, 1, 0], [0, 3, 0, 3, 3, 0, 1, 2, 1, 1], [3, 2, 3, 2, 3, 0, 3, 0, 3], + [0, 1, 1, 0, 1, 0, 1], [1, 0, 3, 2, 1, 1, 1, 0], [1, 1, 1, 2], [2, 3, 2, 3], [1, 0, 1, 1, 0, 1], [3, 2, 3, 3, 0], [2, 3, 0, 3, 2, 3, 0, 3, 0], [0, 1, 0, 3, 0, 3, 0, 1, 2, 3], + [0, 1, 0, 3, 2, 3, 0, 1, 1], [3, 2, 3, 0, 1, 1, 0, 1, 1], [0, 1, 1, 2, 1, 2, 3, 2], [1, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 1, 2], [0, 1, 0, 1, 2, 1, 0, 3, 0], [2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 1, 2, 1, 0, 1, 0], + [1, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 3, 0, 1, 1, 0, 3, 0], [0, 1, 2, 3, 3, 0, 3, 2, 1, 0], [0, 1, 1, 1, 2, 3, 3, 2, 1, 2], [0, 1, 1, 1, 0, 1, 1, 2, 1, 0], [0, 1, 1, 2, 3, 2, 1, 1], [3, 2, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 3, 0, 3, 3, 0, 3], + [3, 3, 2, 1, 0], [1, 1, 2, 3, 2, 3, 2, 1, 1], [1, 0, 1, 0, 1, 2, 3, 2], [1, 1, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 1, 0], [1, 0, 3, 0, 3, 2, 3, 2], [1, 2, 1, 2, 3, 0], [1, 2, 3, 0, 3, 0, 1, 1, 1, 2], + [0, 3, 0, 1, 1, 2, 1, 1, 0, 3], [3, 2, 1, 1, 1, 0, 3, 2], [0, 1, 2, 1, 0, 3, 2], [2, 3, 3, 0, 1, 2, 1, 2], [1, 1, 0, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 0, 3, 0], [1, 2, 1, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 3, 0, 3, 2], + [0, 3, 3, 2, 1, 0, 3], [2, 1, 1, 2, 3, 2, 3, 2, 1], [0, 1, 2, 3, 3, 2, 3, 3], [0, 3, 2, 1], [2, 3, 0, 1, 2, 1, 2, 1, 2], [1, 1, 0, 3, 0, 3, 0, 3], [3, 0, 3, 2, 1, 0, 1, 2, 3], [1, 2, 3, 3, 0, 1, 0, 1, 1, 0], + [3, 0, 3, 3], [1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 1, 1, 0, 1, 2], [1, 0, 3, 2, 3, 2, 3, 3], [2, 1, 2, 3, 3, 0, 1, 1], [1, 2, 1, 1, 2, 1, 2, 1, 1], [2, 3, 3, 2, 3, 0, 3], [2, 1, 0, 1, 1, 1, 2, 3], + [0, 1, 1, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 1, 0, 3, 2], [1, 0, 1, 2, 3, 2, 1, 1, 0], [2, 3, 2, 1, 2, 3, 3, 2], [1, 1, 0, 1, 0, 3, 0, 3], [1, 0, 3, 0, 3, 0, 1, 0], [0, 3, 0, 1, 1, 0, 3, 0, 1], [0, 3, 0, 3, 2, 1, 0, 1, 2], + [1, 2, 1, 1, 2, 3, 2], [1, 1, 0, 1, 0, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 0], [2, 1, 0, 3, 0, 3, 0, 1], [0, 1, 0, 1, 1, 2, 1, 2, 1], [0, 1, 1, 1, 2, 3, 0, 1, 1, 0], [3, 0, 3, 0, 1, 1, 0, 1], + [0, 1, 0, 1, 2, 3, 0, 3, 3, 0], [3, 0, 1, 1, 2, 1, 1, 2, 1], [1, 2, 1, 0, 1, 0, 1, 1, 0, 3], [0, 1, 0, 1, 1, 0, 3, 0, 3], [0, 1, 1, 1, 2, 3, 2, 3], [1, 1, 1, 0, 3, 2, 1, 1, 2], [0, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3], + [2, 3, 0, 1, 1, 1, 0], [1, 2, 3, 2, 1], [0, 1, 1, 1, 2, 1, 2, 3], [1, 0, 3, 3, 2, 3, 0], [3, 0, 3, 0, 3, 3], [3, 0, 1, 1, 0, 3, 3, 2], [1, 2, 3, 3, 2, 1, 0], [3, 3, 2, 3, 3, 2, 1, 2], + [2, 3, 0, 1, 0, 3], [2, 1, 2, 3, 2, 3, 0, 3], [1, 2, 1, 2, 1, 2, 3, 0, 3, 3], [1, 1, 0, 3, 0, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 3, 0], [1, 2, 3, 2, 3, 0, 1], [3, 2, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 1, 0, 3, 2, 1], + [1, 1, 0, 3, 2, 3], [1, 1, 0, 1, 2, 3, 3, 2, 1, 1], [1, 1, 2, 1, 2, 3, 3, 0], [1, 1, 2, 1, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 3, 0, 3, 2, 1], [1, 1, 0, 1, 2, 3], [0, 3, 3, 2, 3, 3, 0], [2, 1, 1, 1], + [2, 1, 0, 1], [2, 3, 3, 2, 3, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 1, 2], [2, 3, 2, 1, 1, 0, 3, 2], [2, 1, 1, 2, 1, 1], [3, 0, 1, 2, 1, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 2, 1, 0], [3, 2, 1, 0, 3, 2, 3, 0], + [1, 2, 3, 3, 2, 3, 0, 3], [1, 2, 3, 0, 1, 1], [2, 3, 3, 2, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 2, 3], [1, 0, 1, 2, 1, 2, 1, 2, 3], [1, 1, 0, 1, 1, 1, 2, 3], [2, 1, 0, 3, 2, 3, 2, 1, 0], [0, 3, 3, 2, 1, 1, 0, 3], + [2, 1, 1, 0, 3, 2, 1, 0], [0, 1, 1, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 3, 2, 1, 1, 0], [1, 1, 2, 3, 2, 1, 1, 1, 2], [1, 0, 3, 0, 1, 2], [0, 1, 0, 1, 1, 2, 1, 0, 1, 1], [3, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1, 2], + [3, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 2, 3], [0, 1, 0, 3, 3, 2, 1, 2, 1, 1], [0, 3, 0, 1, 0, 3, 3, 0, 3], [1, 0, 1, 0, 3, 0, 3, 0, 1, 2], [3, 3, 0, 3, 3, 0], [1, 0, 3, 0, 1, 1, 1, 0], [1, 0, 3, 3, 2, 3, 3, 0, 3], + [0, 1, 2, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 3, 3, 0, 1], [0, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 1, 0, 3, 3], [1, 1, 0, 3, 2, 3, 0, 1, 1, 0], [1, 0, 1, 0, 3, 3, 2, 1, 2], [3, 2, 3, 0, 1, 1], [0, 1, 0, 3, 2, 3], + [1, 0, 1, 0, 3, 0], [0, 1, 1, 0, 3, 0, 1, 1, 1], [0, 3, 2, 3, 2], [2, 1, 1, 1, 2, 3, 0, 3], [2, 1, 1, 2, 1, 0, 3, 3], [1, 2, 1, 1, 1, 0, 3, 2, 1], [0, 1, 1, 2, 3, 3, 0, 1], [1, 1, 1, 0, 1, 0, 1, 1], + [1, 2, 1, 1, 1, 2, 3, 0, 1], [3, 0, 1, 1, 2], [2, 1, 2, 3, 3], [1, 2, 1, 1, 2, 1, 0], [2, 3, 2, 1, 1, 2, 1], [1, 1, 1, 2, 1, 1, 1, 2, 1], [3, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 1, 1, 2, 1, 2] +] +private def clayworthWitnessData_chunk6 : Array (List (Fin 4)) := #[ + [0, 1, 2, 3, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0], [2, 3, 2, 1, 1, 1, 2], [1, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 2, 1, 0], [0, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3, 3], + [0, 3, 3, 0, 3, 2, 1, 1], [0, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3], [2, 1, 1, 1, 0, 1, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 1, 0, 3, 0, 1], [3, 0, 1, 2, 1], + [1, 1, 2, 3, 2, 3, 0], [3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 1, 1, 1], [2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 1, 1, 1], + [0, 3, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0, 1], [1, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 3, 0, 1, 0, 1, 2, 3], [0, 1, 2, 1, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 0, 1], + [1, 0, 3, 3, 2, 1, 1], [3, 0, 3, 2], [2, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 3], [1, 2, 1, 0, 3, 3, 0, 1], [3, 0, 3, 0, 3, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1], [3, 0, 3, 2, 1, 0, 1, 0], + [2, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 2, 1, 1, 0, 3], [2, 3, 0], [1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 2, 1, 0], [1, 1, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3, 2, 3, 3], + [1, 1, 2, 1, 1, 0, 1, 0, 1, 1], [1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 1, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1], [2, 3, 3, 0, 1, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1, 1], + [1, 2, 1, 2, 1, 2, 3, 2], [2, 3, 3, 0, 3, 3, 2, 1, 0], [2, 3, 0, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 3], [1, 0, 1, 1, 1, 0, 1, 1], [0, 3, 3, 2, 1], [1, 1, 2, 1, 1, 1, 0, 3, 0], [2, 1, 1, 2, 1, 2, 3, 3, 0], + [0, 3, 2, 1, 1, 2], [0, 1, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 3], [3, 2, 3, 2, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 0, 3, 3], + [2, 3, 3, 2, 3], [2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 3, 3], [0, 1, 1, 0, 1, 1, 1, 2, 1, 1], [2, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 1, 2, 1, 0, 3], + [3, 2, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 3], [1, 1, 0, 3, 0, 3], [2, 3, 2, 3, 0, 3, 0, 3, 0, 3], [1, 2, 3, 2, 1, 1, 2, 3], [3, 3, 2, 1, 0, 1, 2], + [2, 3, 2, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 0, 1, 1], [1, 0, 1, 1, 2, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2, 3], [3, 2, 3, 0, 1, 0, 3, 3, 2], [1, 2, 3, 0, 3, 3, 0], [1, 2, 3, 3, 2, 3, 0, 1, 0], + [1, 1, 2, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 1, 1], [0, 1, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2], [3, 3, 2, 3, 3, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3], + [3, 3, 0, 1, 0, 1, 1], [0, 1, 2, 1, 0, 3, 0, 3], [3, 3, 2], [2, 3, 2, 3, 0, 1, 2], [2, 1, 2, 3, 0, 3, 3, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3, 0, 3], + [0, 1, 2, 1], [1, 0, 3, 0, 3, 2, 3, 0, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3], [1, 0, 3, 2, 3, 0, 3, 2], [2, 3, 0, 3, 2, 3, 0, 3, 3], [0, 1, 1, 0, 3, 2, 1, 1, 1, 2], [1, 2, 1, 2, 1, 1, 2, 3, 0], + [0, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0], [0, 3, 0, 3, 0, 1, 0], [2, 1, 1, 0, 1, 1, 2, 3, 3], [0, 1, 1, 0, 1, 0, 1, 2, 3], [1, 0, 3, 2, 1, 1], + [1, 1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3], [2, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 1, 1], [0, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 3, 3, 2], [3, 0, 1, 0, 1, 1, 1, 0], + [0, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2], [1, 2, 1, 2, 1, 0, 3, 2], [2, 1, 2, 1, 2, 1, 0, 1, 0], [2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 0], + [1, 1, 2, 3, 3, 2, 1], [3, 2, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3, 3], [1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 0], + [1, 0, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 0, 1], [3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 1, 2, 3], [3, 2, 1, 1, 1], [0, 1, 2, 3, 2, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0], + [3, 2, 1, 1, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 1], [3, 0, 1, 1, 2, 3, 2, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 2], [1, 0, 3, 2, 1, 1, 2, 1], [3, 2, 3, 0, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1], [0, 1, 2, 3, 0, 1, 1, 0, 1, 1], + [0, 1, 1, 0, 3, 3, 0], [3, 3, 0, 1], [2, 3, 2, 1, 1, 1, 0, 1, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 0, 3, 2, 1, 1, 1, 2, 3], [0, 3, 2, 3, 3, 0, 3, 3], [1, 1, 1, 0, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0], + [1, 1, 0, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 2, 3], [0, 3, 3, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 3], + [1, 2, 1, 2, 1, 1, 2], [1, 0, 1, 2, 1, 0, 3, 0, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 3, 3], [1, 1, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 1], [0, 3, 0, 1, 1, 1, 0], [1, 2, 1, 2, 3, 3, 2, 1], + [0, 3, 2, 3, 0, 1, 1, 1], [0, 1, 2, 3, 2], [1, 0, 3, 0], [0, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 2, 3], [1, 2, 3, 3, 2, 1, 2, 3], [3, 3, 2, 3, 3, 2], + [0, 1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2, 3], [3, 2, 1, 2], [1, 1, 1, 2, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 3, 0, 1, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3], + [2, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 2, 1], [2, 1, 2, 1, 2, 3, 0], [3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0, 3, 0, 3], [1, 2, 3, 0, 1, 1, 0, 3], [1, 1, 2, 3, 2, 1, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0, 1], + [1, 0, 3, 3, 0, 1, 1, 0], [1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 1, 0, 1, 0, 1], [1, 2, 3, 0, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 3, 2, 3, 2], + [0, 3, 3, 0, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 0, 1], [3, 0], [2, 3, 2, 3, 0, 1, 1, 0], [0, 3, 2, 3, 0, 3, 2, 3], [1, 0, 1, 0, 3, 2, 3, 3], [2, 1, 2, 1, 1, 2, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1], + [0, 1, 2, 3, 3, 2], [0, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 0], [3, 3, 2, 1, 0, 1, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 2], [0, 1, 1, 1, 0, 1, 2, 1, 1], + [3, 3, 0, 3, 3, 2, 3, 3], [3, 3, 2, 1, 1, 1, 2], [2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 3, 0, 3], [1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 0, 1], [3, 2, 1, 1, 0, 3, 2, 3, 0], + [1, 1, 1, 0, 1, 1, 2], [2, 3, 2, 3, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 1, 0], [1, 1, 0, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 2, 1, 0], [1, 2, 3, 0, 3, 0, 3, 0], + [2, 3, 3, 2, 3, 0, 1], [2, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 1, 1, 1, 0], [1, 1, 2, 1, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 3, 3], + [0, 3, 0, 3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 3, 3, 2, 3], [0, 1, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 1, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 2, 1, 2, 3, 3], + [3, 0, 3, 3, 0, 1, 1, 0], [3, 2, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 0], [1, 2, 1, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2], [3, 2, 1, 2, 1, 1, 2, 3], + [1, 2, 1, 1, 0, 3], [0, 1, 2, 1, 1, 0, 1, 1], [1, 1, 1, 2, 1, 1], [2, 3, 2, 1], [1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 0, 3], + [1, 2], [2, 3, 2, 3, 0, 3, 3, 2], [2, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 2, 3, 2, 3, 0], [3, 2, 1, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3, 2, 1, 1], + [3, 2, 3, 2, 1, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 0, 3, 3, 0, 3, 3], [0, 1, 2, 1, 1, 1, 0, 3], [2, 3, 2, 3, 2, 1, 0, 3], [1, 1, 1, 0, 1, 0, 3], + [3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3], [0, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 0], [0, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3], [0, 1, 0, 3, 2, 1, 1], + [3, 0, 1, 2, 3, 3], [1, 2, 1, 2, 1, 0, 1, 1, 2], [0, 1, 0, 3, 3, 2, 1, 2, 3], [2, 3, 0, 3, 2, 3, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 0], [2, 1, 0, 3, 2, 1], [1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2], + [0, 1, 2, 3, 3, 0, 1, 1, 2], [1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 1], [0, 3, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 0, 3, 3, 2, 1, 0], [1, 2, 1, 0, 1, 1, 1, 2, 3], + [0, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1, 1], [2, 1, 0, 3, 3, 0, 1, 2], [3, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 0], [3, 3, 0, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 0, 1, 2, 3, 0, 3], + [1, 2, 3, 0, 3, 0, 1, 2], [1, 2, 1, 2, 3, 2, 3, 3, 2], [0, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 0, 1, 2, 1, 2, 3], [2, 1, 1, 0, 1], [2, 3, 3, 2, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 0], + [1, 1, 1, 0, 3, 0, 1, 1, 1, 2], [2, 1, 1, 2, 1, 0, 1], [0, 3, 0, 1, 2, 1, 1, 0], [3, 2, 1, 1, 0, 3, 2, 1, 2], [1, 2, 3, 2, 3, 2, 1], [3, 3, 2, 3, 3, 0, 1, 0], [1, 1, 1, 2, 3, 0, 1, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 1], + [3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3], [1, 2, 1, 2, 1, 1, 0, 3], [0, 1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 1, 1, 2, 1, 0], [0, 1, 1, 1, 0, 3, 0, 3, 3], + [1, 2, 3, 3, 2, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 0, 3, 3, 2], [1, 1, 0, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 0, 1, 2, 1, 1, 2], + [3, 2, 1, 1, 0, 1, 0, 1, 1, 1], [3, 2, 1, 2, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 2], [2, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0, 1], [3, 3, 2, 3, 3, 0, 3], [0, 1, 0, 1, 1, 1, 0, 3, 0, 3], + [0, 3, 2, 1, 2, 1, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 3], [1, 0, 3, 3, 0, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 2, 1, 0], [2, 3, 0, 3, 3, 0], + [1, 2, 3, 3, 2, 1, 1, 0], [3, 0, 1, 1, 1, 2, 1, 1], [2, 3, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 3, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1, 2], + [1, 0, 3, 3], [0, 3, 3, 2, 3, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1], [1, 1, 1, 2, 3, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 2], [0, 1, 2, 3, 0, 3] +] +private def clayworthWitnessData_chunk7 : Array (List (Fin 4)) := #[ + [1, 0, 3, 3, 0, 1], [3, 0, 3, 2, 3, 3, 2, 1], [2, 1, 1, 2, 3, 2, 3, 0, 1, 2], [0, 1, 0, 1, 2, 3, 0, 3, 0], [0, 1, 0, 3, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 2, 3], [1, 1, 2, 1, 2, 3, 0], + [3, 0, 3, 0, 3, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 1, 2, 3], [2, 1, 2, 1, 2, 3, 3], [2, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 3, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 1], [0, 3, 0, 1, 2], [1, 0, 1, 1, 2, 3, 2, 3, 0], + [1, 2, 1, 2, 3, 2, 3, 2, 1, 1], [0, 1, 2, 1, 0, 1, 1, 0, 3], [0, 1, 1, 0, 3, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3], [1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 3, 2, 1, 0, 1], [1, 2, 1, 0, 1, 2, 1], [0, 3, 2, 3, 3, 2, 1, 0, 1, 0], + [0, 1, 0, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 1, 0, 3], [2, 3, 0, 3, 3, 2, 3, 2], [2, 1, 1, 0, 1, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 3, 2, 3, 0], [0, 1, 2, 1, 1, 2, 3, 2, 1, 1], [1, 1, 2, 1, 2, 3, 2, 3, 2], [1, 1, 2, 1, 1], + [1, 1, 0, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 2], [1, 1, 2, 3, 2, 3, 2, 1, 0], [3, 0, 3, 0, 1, 2, 3], [1, 0, 3, 0, 1, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 0, 3, 3], [3, 0, 1, 1, 1, 0], [3, 2, 1, 1, 0, 3, 3], + [1, 2, 3, 2, 3, 3, 2, 3], [1, 2, 1, 0, 3, 0, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1, 1, 2], [3, 2, 3, 0, 1, 2, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 3, 0, 3], [3, 0, 1, 2, 1, 0, 1, 0], [3, 3, 0, 3, 3, 2, 1, 0], [0, 1, 0, 1, 0, 3, 2, 3, 2, 3, 3], + [0, 1, 0, 1, 2, 3, 2, 1], [0, 3, 3, 2, 1, 1, 2, 3, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2, 1, 2, 1], [1, 1, 0, 3, 0, 3, 2, 1, 2, 3], [3, 2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 2, 1, 0, 3, 2, 3, 0], [2, 1, 2, 3, 3, 0, 1, 0], [0, 3, 3, 2, 1, 2, 1, 2, 3], + [1, 1, 1, 2, 3, 0], [2, 3, 0, 3, 0, 1], [3, 3, 2, 3, 0, 3, 3], [1, 2, 3, 0, 3, 2, 3], [2, 1, 2, 1, 0, 3, 0, 3], [2, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 2, 1, 0, 1, 0, 3], [0, 1, 0, 3, 2, 3, 0, 1, 0], + [3, 2, 1, 0, 1, 1, 1, 2], [0, 3, 0, 3, 0, 3, 2, 1, 0], [2, 1, 0, 3, 3, 2, 3], [1, 0, 1, 1, 2], [1, 2, 1, 1, 1, 0, 1, 0], [0, 1, 1, 0, 3, 2, 1, 2, 1, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1], [0, 3], + [2, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3, 0, 3, 0, 3], [0, 1, 1, 1, 2, 1, 1, 0, 1, 1], [1, 2, 1, 2, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 1, 0], [0, 1, 2, 1, 1, 0, 3, 0], [2, 1, 0, 3, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1], + [0, 1, 0, 1, 0, 3], [0, 3, 3, 0, 1, 2, 1], [0, 3, 3, 0, 3, 3, 2], [0, 3, 2, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 0, 3, 2], [3, 2, 3, 2, 1, 1, 2, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 2, 3, 3], [1, 2, 1, 0, 1, 1, 2], + [3, 2, 1, 1, 2, 1, 0], [2, 1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 0, 1, 0, 1], [0, 3, 3, 0, 1, 2, 1, 1, 1], [2, 1, 2, 1, 1, 0, 3, 2], [1, 0, 1, 1, 2, 3, 0, 1, 2], [0, 1, 0, 1, 0], [0, 3, 3, 0, 1, 2, 1, 1], + [2, 1, 2, 3, 0, 3, 0, 1, 1], [1, 2, 1, 0, 3, 2, 3], [0, 1, 0, 1, 0, 1, 1], [0, 3, 3, 0, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1, 2], [1, 0, 3, 2, 1, 2, 1, 0, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 2], [1, 2, 3, 3, 0, 3, 0], + [2, 1, 2, 3, 0, 3, 0, 1], [1, 2, 1, 0, 3, 2, 3, 3], [1, 1, 2, 1, 0, 1, 2, 1], [3, 2, 3, 2, 1, 1, 2], [1, 1, 0, 1, 0, 1, 2, 3, 0, 3], [1, 0, 3, 2, 1, 2, 1, 0, 3], [0, 3, 3, 0, 1, 2, 3], [0, 1, 0, 1, 0, 1, 1, 1], + [3, 2, 3, 2, 1, 1, 2, 3], [1, 1, 2, 1, 0, 1, 2], [1, 0, 3, 2, 1, 2, 1, 0], [1, 1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 2], [1, 2, 1, 0, 1, 1, 2, 3], [1, 0, 3, 2, 3, 3, 2, 3, 2], [1, 0, 1, 1, 2, 3, 0, 1, 2, 1], + [0, 1, 0, 3, 3, 0], [3, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 1, 2, 3, 2, 3], [0, 1, 0, 3, 3, 0, 3, 3], [0, 3, 3, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 2, 3, 2], [2, 3, 0, 1, 1, 2, 3, 0], [2, 1, 2, 3, 0, 3, 0], + [0, 1, 0, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 3, 2], [1, 2, 3, 3, 0, 1, 1, 0], [0, 1, 0, 3, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 3, 2, 1], [3, 0, 3, 2, 1, 1, 2, 3, 0], [0, 3, 3, 0, 1, 2], [0, 1, 0, 1, 0, 3, 3], + [1, 2, 1, 0, 1, 1, 2, 1], [1, 0, 3, 3, 2, 1, 2, 1, 2, 3], [2, 1, 1, 0, 3, 0, 3, 0], [1, 1, 2, 1, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 1, 0, 3], [0, 1, 0, 3, 3, 0, 1, 1], [0, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 3, 0], + [1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 2, 1, 1], [2, 1, 0, 3, 2, 3, 0], [2, 1, 0, 1, 1, 2, 1, 2], [0, 1, 0, 3, 3, 0, 1, 2, 3, 3], [3, 2, 1, 1, 2, 1, 1], [0, 3, 0, 3, 2, 3, 0, 3], [3, 2, 3, 2, 1, 1, 0, 1], + [1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3], [1, 1, 0, 3, 0, 1, 2], [0, 3, 3, 0, 1, 0, 3, 3], [1, 2, 1, 0, 3, 0, 3, 3], [0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 0, 3, 2, 3, 3], [0, 1, 0, 1, 2, 1, 1, 1, 0, 1], + [1, 1, 2, 3, 3, 0, 1, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1], [2, 3, 3, 2, 1, 2], [1, 1, 1, 0, 1, 2, 3, 0, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3], [1, 2, 1, 0, 1, 1, 0, 1], [1, 0, 3, 3, 2, 1, 2, 1, 0, 1], [1, 2, 3, 3, 0], + [3, 3, 2, 3, 2, 1, 1], [0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 2, 1, 2, 3, 0, 3, 0, 3], [0, 1, 0, 1, 1], [3, 3, 2, 3, 2, 3], [0, 3, 0, 1, 2, 1, 2, 1, 2, 3], [3, 2, 1, 2, 1, 0, 3, 2], + [3, 0, 3, 0, 3, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 2, 1, 2], [3, 0, 1, 2, 1, 1, 0], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 1, 2, 1, 0, 3, 0], [1, 1, 1, 0, 3, 3, 2, 3], [1, 0, 1, 0, 1, 0, 3, 2, 3], + [0, 3, 3, 0, 3, 3, 0, 3, 3], [2, 1, 0, 1, 2, 3, 2], [0, 3, 2, 3, 2, 1, 0], [2, 1, 1, 1, 2, 3, 2], [0, 1, 0, 1, 0, 3, 2, 1], [0, 1, 1, 2, 1, 0, 3, 2, 3], [1, 2, 3, 0, 1, 1, 2, 3, 2], [1, 2, 3, 3, 0, 1, 1, 1], + [1, 2, 1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 1, 2, 1, 0], [3, 0, 3, 2, 1, 1, 2], [1, 0, 3, 3, 2, 3, 3, 2], [2, 3, 0, 1, 1, 2], [2, 1, 2, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1, 1], [0, 3, 3, 0, 3, 3, 0, 1], + [1, 1, 2, 1, 0, 3, 3, 0, 1], [2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 0, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1, 2], [0, 1, 2, 3, 2, 3, 0, 3, 2, 3], [0, 3, 0, 1, 0, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 2, 1], [3, 2, 1, 1, 2, 3], + [2, 1, 0, 3, 3, 2, 1, 1, 2], [0, 3, 0, 3, 0], [2, 1, 1, 1, 0, 1, 1, 1], [2, 1, 2, 1, 2, 1, 0], [3, 2, 3, 0, 1, 1, 2, 1], [0, 1, 0, 3, 2, 3, 2, 1], [0, 3, 2, 3, 3, 0, 1, 1], [0, 1, 2, 3, 3, 2, 1, 0, 1, 1], + [3, 2, 1, 0, 1, 1, 0], [1, 2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 3, 2, 1, 1, 2], [3, 0, 1, 2, 1, 2, 1], [0, 3, 3, 0, 3, 2, 1, 1, 2, 1], [1, 0, 3, 2, 1, 1, 2, 3], [0, 1, 2, 3, 0, 1, 1, 0], [1, 0, 3, 2, 3, 0, 3, 0, 3], + [1, 2, 1, 2, 3, 3, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 3], [3, 0, 1, 0, 1, 1], [1, 2, 1, 1, 0, 1, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 2], [1, 0, 1, 0, 3, 3, 2, 1, 0, 1], [1, 1, 2, 3, 2], [3, 2, 3, 0, 3, 2, 1, 0], + [0, 1, 1, 1, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 1, 0, 3, 0, 1], [0, 1, 2, 1, 2, 3], [1, 1, 1, 0, 1, 1, 1, 2, 3, 3], [3, 3, 2, 3, 0, 1, 2], [2, 3, 2, 1, 1, 1, 0, 1], [3, 0, 1, 0, 3, 3, 2, 1, 1, 0], [1, 2, 3, 0, 1, 1, 0, 1, 1, 1], + [1, 0, 3, 3, 0, 3, 3, 0], [3, 3, 2, 3, 3, 2, 3, 3], [1, 0, 1, 0], [1, 1, 1, 0, 3, 2, 3], [3, 2, 1, 1, 0, 1, 2], [2, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 1, 0, 3, 0, 1], [1, 1, 1, 0, 3, 3, 0, 1, 2], + [0, 3, 2, 3, 0, 1], [0, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 0, 3], [1, 2, 3, 3, 0, 1, 2, 1, 2], [3, 3, 0, 1, 2, 1, 1, 0], [0, 1, 1, 2], [3, 2, 1, 2, 3, 3], [1, 2, 1, 0, 1, 2, 3, 3, 2], + [3, 0, 1, 1, 0, 1], [3, 2, 1, 1, 1, 2, 3], [0, 3, 0, 1, 1, 0, 3, 3, 0], [2, 3, 0, 3, 0, 3, 3, 2], [2, 3, 2, 3, 0, 1, 0, 3], [3, 3, 0, 3], [1, 2, 1, 1, 2, 1, 1], [2, 1, 2, 3, 3, 2, 1], + [0, 3, 0, 1, 2, 1, 1, 1, 0], [1, 0, 3, 2, 1, 0, 1, 2], [1, 0, 3, 3, 2, 1, 0, 3, 3, 2], [3, 0, 3, 2, 3, 0, 3, 3, 2], [1, 1, 2, 3, 3, 2, 1, 2, 3], [3, 2, 3, 3, 2, 1, 0, 3], [1, 0, 3, 0, 3, 3], [0, 1, 2, 1, 1, 2, 1, 0, 3], + [0, 3, 2, 3, 2, 3, 3, 0, 3], [3, 3, 2, 1, 1, 2, 1, 1], [1, 1, 0, 1, 0, 3, 3, 2, 1], [1, 0, 3, 2, 1, 2, 1, 0, 3, 0], [1, 0, 3, 2, 3, 3, 2, 3], [0, 3, 0, 3, 3, 0, 1, 0, 1, 1], [3, 0, 1, 1, 1, 0, 3, 0, 3, 3], [1, 2, 1, 0, 1, 1], + [3, 0, 1, 1, 1, 0, 3, 0, 1], [1, 2, 1, 0, 3], [0, 3, 2, 1, 2, 1, 2, 1, 1], [1, 0, 3, 2, 1, 2, 1, 2], [1, 1, 2, 1, 0, 1], [3, 2, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 3, 0, 1, 1, 2], + [0, 1, 0, 1, 2, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1], [0, 3, 3, 0, 3, 3], [0, 3, 2, 1, 1, 2, 3, 2, 1], [0, 3, 3, 0, 3, 3, 2, 1, 0], [0, 3, 2, 1, 2, 1, 2, 3], [0, 1, 0, 1, 0, 3, 0], [0, 3, 3, 0, 1, 2, 1, 0], + [1, 2, 3, 3, 0, 3, 2], [1, 0, 3, 3, 2, 1, 2, 1], [0, 1, 0, 3, 3, 0, 3, 3, 0], [1, 0, 3, 2, 3, 3, 2, 1, 1], [0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1], + [3, 2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 2, 3, 2], [3, 3, 2, 1, 1, 2, 3], [1, 1, 0, 3, 0, 3, 3, 2, 1], [3, 0, 3, 3, 2, 1, 2, 3], [0, 3, 0, 1, 1, 2, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3], + [1, 1, 2, 1, 0, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1], [2, 3, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 3, 3, 0, 1, 2, 3, 0], [0, 1, 0, 1, 2], [2, 1, 1, 0, 1, 1, 0, 3], + [0, 1, 0, 3, 3, 0, 3, 0], [1, 1, 1, 0, 1, 2, 3], [2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 2, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 1], [1, 1, 2, 1, 0, 3, 3], [2, 1, 1, 0, 3, 0, 3, 2], + [3, 0, 1, 1, 2, 1, 0, 3, 2], [1, 2, 1, 0, 3, 2, 3, 0], [1, 0, 3, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0, 3], [3, 2, 3, 2, 3], [2, 1, 2, 1, 1, 0, 3], [1, 0, 1, 1, 2, 3, 0, 1], + [1, 0, 1, 0, 3, 2], [0, 3, 2, 3, 0, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 1, 2], [2, 1, 1, 1, 0, 1, 0, 1, 0], [0, 1, 2, 1, 2, 3, 3, 2], [3, 0, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 1, 1, 0], + [0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 3, 2, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 1, 1, 1, 0, 1, 0, 1], [1, 2, 1, 1, 2, 1, 2], [2, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 1], [1, 1, 1, 2, 3, 3], + [1, 0, 3, 2, 3, 2, 1, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3], [3, 3, 0, 3, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1], [3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1, 1], [3, 3, 2, 1, 0, 3, 3], [1, 1, 2, 3, 2, 3, 2], + [0, 1, 1, 0, 1, 0, 3], [1, 0, 3, 2, 1, 1, 1, 0, 3, 3], [0, 1, 0, 3, 2, 3, 0], [3, 2, 3, 0, 1, 1, 0], [1, 1, 2, 3, 2, 3, 3, 0, 1, 0], [3, 2, 1, 2, 1, 1, 2, 1], [1, 0, 1, 1, 0, 3], [3, 2, 3, 3, 0, 3, 3], + [1, 0, 3, 0, 1, 1, 2, 1], [3, 2, 3, 0, 1, 2, 1, 2], [3, 2, 1, 0, 1, 1, 1, 0, 3], [0, 3, 0, 3, 0, 3, 2], [2, 1, 1, 0, 3, 3, 0], [0, 1, 0, 3, 2, 3, 3, 0, 1], [1, 1, 0, 3, 0, 3, 0, 1, 1, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 1], + [3, 0, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 1, 2, 3, 2, 1], [2, 1, 0, 1, 2, 3, 0, 3, 0], [0, 1, 1, 2, 3, 2, 3, 0, 1, 2], [0, 1, 1, 2, 3, 2], [0, 3, 2, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 1, 0, 1, 2], [0, 1, 1, 2, 3, 3, 0, 1, 0], + [0, 3, 2, 3, 2, 3, 0, 1], [1, 0, 1, 0, 3, 3, 0, 1, 0], [3, 0, 1, 1], [3, 2, 1, 1, 0, 3, 3, 2, 3], [1, 2, 1, 1, 0, 1], [3, 0, 1, 0, 1, 2], [0, 3, 0, 1, 1, 0, 3, 0, 3], [0, 3, 2, 3, 3, 2, 1, 0], + [1, 2, 3, 0, 3, 2, 3, 2, 3], [0, 3, 2, 3, 0, 3, 0, 1, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [1, 2, 1, 2, 1, 2, 1, 1], [0, 3, 2, 3], [0, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2, 1], [1, 0, 3, 0, 1, 1, 1, 2] +] +private def clayworthWitnessData_chunk8 : Array (List (Fin 4)) := #[ + [0, 3, 3, 2, 1, 0, 3, 2, 1], [1, 0, 1, 1, 0, 3, 2, 3, 3, 2], [0, 3, 3, 0, 1, 1, 0], [1, 1, 2, 3, 3, 2, 1, 1, 1], [2, 3, 2, 3, 0, 1, 2, 1, 1], [3, 3, 2, 1, 1], [1, 0, 3, 0, 3, 0, 1, 1], [0, 1, 2, 1, 1, 2, 1, 2, 1, 1], + [3, 0, 3, 2, 3, 2, 3, 0], [1, 0, 3, 0, 3, 2, 1, 2, 3], [3, 3, 0, 1, 0, 3, 3], [0, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 2, 3, 2, 3, 3, 0, 3], [0, 3, 2, 1, 0, 1, 1, 2, 3], [0, 3, 2, 3, 3, 2, 3, 2], [0, 3, 3, 0, 3, 0], + [2, 3, 2, 3, 2, 1], [1, 1, 1, 0, 1], [0, 1, 0, 1, 2, 3, 3, 0], [0, 1, 1, 1, 0, 1, 0, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0], [0, 3, 0, 3, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 1, 2, 3], [1, 2, 1, 2], + [3, 2, 3], [1, 0, 1, 1, 0, 1, 2, 1], [1, 2, 1, 0, 1, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 3, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 1, 0, 3, 3, 2], [3, 0, 3, 3, 0, 1, 2, 1, 1], [3, 2, 3, 2, 1, 1, 1, 0], + [1, 2, 3, 3, 0, 1, 0, 1, 1, 1], [3, 3, 2, 1, 2, 1, 2, 1, 1], [1, 1, 1, 2, 1, 1, 0, 3], [2, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0, 1], [0, 1, 1, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1], [3, 0, 1, 0, 3, 3, 0, 3, 3], + [0, 1, 1, 0, 1, 0, 1, 2, 1], [1, 0, 3, 2, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2], [1, 2, 1, 1, 0, 3, 0, 3], [0, 1, 1, 2, 3, 0, 3, 3, 2], [1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 1, 2, 1, 0, 3, 0], [0, 3, 0, 1, 2, 1, 2, 3, 3], + [0, 1, 2, 1, 0, 1, 2, 3], [3, 0, 1, 1, 2, 3, 3, 2], [1, 2, 3, 0, 3, 0, 3, 2, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1, 1], [0, 3, 0, 1, 0, 1, 2, 3, 0], [2, 1, 2, 1, 1, 2], [1, 1, 1, 0, 3, 2, 1, 0, 3, 3], [1, 0, 1, 0, 1, 1, 0, 3, 3], + [0, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 1, 1, 2], [3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 2, 3], [0, 1, 0, 3, 3, 2, 1, 0], [2, 3, 0, 3, 2, 3, 0], [0, 1, 2, 1, 1, 1], [0, 3, 2, 1, 1, 1, 0, 3], + [0, 1, 2], [0, 3, 2, 1, 1, 1, 0, 1, 1], [3, 3, 0, 1, 0, 1], [0, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 2, 3, 2], [1, 0, 3, 3, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 0, 1, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 1], + [0, 1, 1, 2, 1, 0, 3], [0, 1, 0, 1, 0, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 3, 3, 2], [2, 1, 2, 1, 2, 1, 2, 3, 2], [1, 2, 1, 2, 1, 1, 1], [3, 2, 3, 2, 3, 0, 3, 0], [3, 0, 1, 0, 1, 1, 0, 3, 2], + [0, 3, 3, 0, 1, 0, 1, 1, 0], [2, 3, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 3, 3], [3, 0, 1, 0, 3, 3, 0, 1], [1, 1, 0, 3, 3, 2, 1, 0, 3, 3], [0, 1, 2, 1, 2, 3, 0, 3, 2], [2, 1, 1, 0, 3, 0, 3, 3, 0], [2, 3, 2, 1, 2, 1, 0, 1, 2], + [0, 1, 1, 1, 0, 3, 3, 0, 1, 2], [3, 0, 3, 3, 2, 3, 3], [1, 0, 1, 0, 1, 1, 0, 1], [2, 1, 2, 3, 0, 3, 3, 0], [2, 3, 0, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1], [0, 3, 0, 3, 0, 1, 0, 3], [1, 1, 0, 3, 0, 1, 2, 1, 0], + [1, 0, 3, 2, 3, 0, 3, 2, 3], [2, 3, 3, 2, 1, 2, 1, 0], [1, 0, 1, 0, 1, 0, 3], [1, 1, 1, 0, 3, 3], [0, 1, 1, 1, 0, 1, 1, 2, 3], [1, 2, 1, 0, 1, 1, 0, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 2, 3, 0, 3], + [0, 3, 0, 3, 0, 1, 1, 0, 1], [3, 2, 1, 1, 2, 1, 1, 1, 0], [2, 1, 0, 3, 3, 2, 1, 2], [0, 3, 0, 3, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 2, 1, 0, 1, 2, 3], [1, 0, 3, 0, 3, 0, 3], [0, 1, 2, 1, 1, 2, 1, 2, 3], + [0, 1, 0, 1, 1, 1, 0], [3, 3, 2, 3], [2, 1, 0, 1, 1, 2, 1, 2, 1, 0], [1, 2, 1, 1, 0, 3, 0, 1, 1], [0, 3, 3, 2, 3, 3, 2, 3, 0, 1], [2, 1, 1, 1, 0, 3, 0, 1], [0, 3, 0, 1, 1, 1, 2, 1], [0, 1, 0, 1, 0, 3, 2, 3, 0], + [1, 2, 3, 3, 0, 3, 3, 0], [1, 1, 2, 3, 0, 3, 3, 2, 1], [1, 0, 1, 1, 0, 1, 2, 3, 3], [3, 2, 1, 1], [1, 2, 3, 3, 0, 1, 0], [3, 3, 2, 1, 2, 1, 2, 3], [1, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 0, 3, 0, 1, 1, 1, 2], + [0, 1, 1, 1, 2, 3, 3, 2, 1], [0, 1, 2, 3, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 2, 3, 3], [3, 2, 3, 0, 3, 0, 1, 1], [1, 2, 3, 2, 1, 1, 0, 1, 2, 1], [3, 3, 2, 1, 2, 1, 2, 1, 2], + [0, 1, 1, 0, 3, 2, 1, 1], [0, 1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 2, 3, 3, 2, 1, 1, 2], [0, 3, 3, 0, 1, 1, 0, 3, 2], [0, 1, 1, 2, 3, 2, 1, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1, 2], [3, 0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 1, 2, 1, 1], + [2, 3, 3, 0, 1, 2, 1], [0, 1, 2, 1, 0, 3], [3, 0, 3, 0, 3, 0, 1, 2, 1], [0, 3, 0, 3, 0, 1, 2, 3], [0, 1, 1, 1, 2, 1, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 2], [1, 1, 0, 3, 3, 2, 1], + [3, 0, 3, 3, 0], [1, 0, 1, 2, 1, 0, 1], [2, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3, 0, 3], [3, 0, 3, 3, 2, 3, 0, 3], [2, 3, 0, 3, 0, 3, 0, 1], [0, 3, 0, 3, 3, 2, 1, 1], [0, 1, 1, 2, 1, 0, 1, 2], + [2, 3, 0, 3, 2, 3, 0, 3, 2], [0, 1, 2, 3, 0, 1, 2, 1, 1], [1, 1, 1], [2, 3, 2, 3, 0], [1, 2, 1, 2, 3, 2], [1, 2, 3, 0, 3, 0, 1, 1, 1], [0, 3, 0, 3, 2, 1, 0, 1], [0, 3, 0, 1, 0, 1, 0, 3, 0, 1], + [0, 1, 1, 1, 0, 1], [1, 2, 1, 2, 1, 0, 3, 3], [0, 1, 2, 1, 1, 2], [1, 0, 3, 0, 3, 2, 3], [2, 1, 0, 3, 3, 0, 1, 1, 1], [2, 1, 2, 3, 3, 0, 1, 1, 0], [1, 1, 0, 1, 0, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 2], + [3, 2, 3, 3, 2], [1, 0, 1, 1, 0, 1, 0], [2, 1, 2, 1, 0, 1, 1], [1, 0, 3, 2, 1, 1, 1, 2], [1, 1, 1, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3], [2, 3, 0, 1, 2, 1, 2, 1], [1, 1, 0, 3, 0, 3, 0, 3, 0], + [0, 3, 2, 1, 1, 1, 2, 3, 3], [0, 1, 2, 3, 3, 0, 3, 3], [3, 3, 2, 1, 2], [2, 3, 2, 3, 0, 1, 2, 1, 2], [3, 2, 1, 1, 1, 0, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3], [2, 1, 1, 0, 1, 0, 1, 1], [0, 3, 2, 1, 0], + [0, 1, 1], [3, 3, 0, 1, 2, 1, 1, 2], [3, 3, 0, 3, 0], [2, 3, 3, 0, 1, 0, 3], [1, 0, 1, 2], [1, 1, 0, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 0, 1], + [0, 1, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 0, 3], [2, 3, 2, 3, 0, 3, 2, 3], [1, 1, 2, 3], [2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 1, 1, 0, 1], [1, 2, 1, 1, 0, 1, 0, 1, 0], [3, 0, 1, 0, 1, 1, 0], + [3, 0, 1, 1, 0, 1, 0], [3, 2, 1, 1, 1, 2, 3, 0], [0, 3, 2, 1, 2, 3, 3, 0, 1], [2, 1, 2, 1, 0, 1, 2, 3], [2, 1, 1, 2, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 2, 3, 0], [3, 2, 1, 0, 1, 1, 2], [1, 2, 1, 1, 1, 2, 1, 0], + [3, 2, 3, 0, 3, 0, 1, 2, 3], [3, 0, 3, 3, 2, 3, 3, 0, 1], [0, 3, 3, 2, 1, 1, 2, 3, 0, 3], [0, 1, 0, 1, 2, 3, 2, 3, 3], [0, 3, 0, 1, 2, 1, 1, 1, 2], [1, 0, 3, 2, 1, 0, 1], [0, 3, 2, 3, 0, 1, 0], [0, 1, 2, 3, 2, 3, 3, 0], + [1, 0, 3, 3, 2, 1, 0, 3, 3], [3, 0, 3, 2, 3, 0, 3, 3], [1, 0, 1, 0, 1, 0, 3, 0, 1], [1, 1, 1, 0, 3, 3, 0, 1], [1, 0, 3, 2, 1, 1, 2, 3, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2, 1], [1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [0, 1, 2, 1, 1, 2, 3, 2, 3], + [0, 1, 0, 3, 2, 3, 2, 1, 0], [3, 2, 3, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 3, 2, 1, 1], [0, 3, 0, 3, 2], [3, 0, 1, 2, 1, 2, 1, 0], [2, 1, 1, 2, 3, 2, 1, 1], [1, 2, 1, 1, 2, 1, 1, 0], [2, 1, 2, 3, 3, 2, 1, 0], + [0, 1, 0, 1, 1, 1, 2, 1], [3, 3, 2, 3, 0, 1], [3, 2, 3, 2, 3, 3, 2, 3, 3], [1, 0, 3, 3, 0, 3, 3, 2], [0, 1, 2, 1, 1, 2, 1, 0, 3, 0], [1, 0, 3, 0, 3, 3, 0], [0, 1, 2, 3, 0, 1, 1, 2], [0, 1, 0, 1, 0, 3, 2, 3, 2, 1], + [3, 2, 1, 2, 3, 3, 0], [1, 2, 1, 0, 1, 2, 3, 3], [3, 2, 3, 3, 2, 3, 2, 3], [3, 2, 1, 1, 0, 1], [1, 2, 3, 3, 0, 1, 2, 1], [0, 3, 2, 1, 0, 1, 0, 3, 0], [0, 3, 0, 1, 1, 0, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3], + [0, 3, 3, 0, 1, 0, 1, 0], [1, 2, 1, 0, 3, 0, 3, 3, 0], [0, 3, 2, 3, 2, 1, 2], [2, 1, 1, 1, 2, 3], [0, 3, 3, 0, 3, 2, 1, 1, 1, 2], [1, 1, 0, 1, 2, 3, 2, 3], [3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 0, 3, 2, 3, 3], + [1, 0, 3, 3, 2, 3, 3], [3, 0, 3, 2, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1], [1, 1, 0, 3, 2, 3, 2, 3], [1, 2, 1, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 2, 3, 0, 1], [1, 0, 3, 3, 0, 1, 2, 3, 3], + [3, 2, 1, 2, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 1, 0], [2, 1, 1, 0, 3, 2], [3, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 1, 1, 2, 3, 2], + [0, 1, 0, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 1, 2, 3, 0], [3, 3, 2, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0], [1, 1, 2, 3, 3, 0, 1, 1, 0], + [1, 2, 3, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 3, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0, 3], [0, 1, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 2, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 0, 1, 1, 2, 3], + [1, 1, 1, 2, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1], [2, 1, 1, 2, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [2, 3, 2, 1, 1, 0, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 1, 2], + [3, 2, 3, 2, 1, 1, 0, 1, 0], [0, 3, 0, 3, 2, 3, 0, 3, 0], [1, 0, 1, 2, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0, 1], [0, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 1, 2], [1, 2, 3, 2, 1, 1, 2, 1], + [0, 1, 0, 1, 2, 3, 0, 1, 1, 1], [0, 3, 0, 3, 3, 0, 3, 3, 2], [0, 1, 1, 0, 3, 0, 3, 3, 2], [1, 1, 0, 3, 0, 1], [2, 3, 0, 1, 1], [2, 1, 2, 3, 2], [0, 1, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 0], + [2, 3, 3, 2, 1, 1], [1, 0, 1, 2, 3, 2, 3, 2, 1, 0], [0, 3, 0, 1, 0, 3], [1, 0, 1, 1, 2, 3, 2, 3, 3], [2, 3, 0, 1, 1, 1], [1, 2, 3, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0, 1, 0], [3, 2, 1, 1, 2, 3, 0, 1], + [3, 0, 3, 2, 1, 1, 1], [1, 0, 3, 3, 2, 3], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2], [0, 1, 1, 2, 1, 1, 1, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 2, 1], [1, 0, 3, 3, 0, 1, 2, 3], [0, 1, 1, 1, 2, 3, 0, 1, 1], + [2, 1, 1, 2, 1, 1, 2], [3, 0, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 3], [2, 1, 0, 1, 2], [2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 1, 2, 3, 3, 0], [0, 1, 1, 0, 1, 1, 1, 2, 3], [3, 2, 3, 2, 1, 0, 3, 3], + [3, 0, 1, 1, 2, 1, 2, 1], [3, 2, 1, 0, 3, 2, 3], [0, 3, 0, 1, 1, 2, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1], [3, 0, 3, 0, 3, 2, 1, 1], [1, 0, 1, 1, 1, 2, 3, 0, 3], + [2, 1, 0, 3, 0, 3, 0, 1, 2], [0, 3, 0, 1, 1, 0, 1, 2, 3], [1, 2, 1, 0, 1, 0, 3, 3], [0, 1, 0, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 0, 1, 0, 3], [1, 2, 3, 0, 1, 1, 2], [1, 2, 3, 3, 2, 3, 0, 3, 2], + [1, 1, 1, 0, 3, 2, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0], [2, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 0, 3, 2, 3, 2], [2, 1, 1, 2, 1, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 1, 1], [0, 1, 1, 0, 3, 0, 3, 3, 2, 1], + [3, 3, 2, 3, 3, 2, 1, 0], [1, 2, 3, 3, 2, 1], [3, 0, 3, 0, 3, 3, 2], [3, 0, 1, 1, 0, 3, 3, 0], [2, 1, 1, 1, 2], [0, 3, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1, 1], [3, 2, 1, 2, 1, 0], + [1, 2, 1, 1, 2, 3, 0], [1, 1, 0, 1, 0, 1, 1], [0, 3, 0, 1, 1, 1, 0, 1, 0], [2, 3, 2, 1, 1, 0, 3, 0], [2, 3, 2, 3, 3, 2, 1, 0, 3], [1, 1, 0, 1, 2, 3, 2], [2, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1], + [1, 1, 1, 0, 1, 0, 3, 3], [2, 3, 2, 3, 2, 1, 0, 3, 3], [0, 1, 1, 0, 3, 0, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 0, 1], [1, 0, 3, 3, 2, 3, 3, 0, 1], [3, 0, 3, 2, 1, 1, 0, 1], [0, 1, 2, 1, 1, 1, 0, 3, 3], [3, 2, 1, 1, 2, 3, 2, 1], + [1, 1, 2, 1, 1, 1, 0, 1, 1, 0], [2, 1, 1, 2, 1, 2, 1, 0], [2, 3, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 3, 2, 3, 3], [0, 1, 2, 1, 0, 1, 1, 2, 1, 2], [0, 1, 2, 1, 2, 3, 3, 0, 1, 1], [1, 0, 1, 0, 3, 0, 1, 1], [0, 1, 1, 0, 3, 0, 3] +] +private def clayworthWitnessData_chunk9 : Array (List (Fin 4)) := #[ + [1, 0, 1, 1, 0, 3, 2, 1, 1], [1, 2, 3, 2, 3, 2], [0, 1, 0, 3, 2, 1], [3, 2, 3, 0, 3, 3], [3, 0, 3, 0, 1, 1, 2], [3, 0, 3, 0, 3, 2, 1, 0, 1], [1, 2, 3, 3, 2, 1, 0, 3, 3, 2], [3, 0, 1, 1, 2, 1, 1], + [1, 0, 1, 2, 3, 3, 0, 1, 2], [2, 3, 3, 2, 1, 0, 1], [3, 2, 1, 2, 1, 2, 3, 0], [0, 3, 0, 1, 2, 1, 1, 0, 3], [0, 3, 0, 1, 0, 3, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 2, 3, 2, 3, 0], [3, 0, 3, 3, 2, 1, 0, 3, 3], + [0, 3, 0, 3, 3, 0, 3], [1, 1, 0, 1, 2, 3, 3, 0], [2, 1, 1, 2, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 2], [3, 0, 1, 2, 1, 1, 1], [1, 2, 3, 0, 1, 2, 1, 0], [2, 3, 0, 1, 1, 0, 1], [2, 1, 2], + [2, 1, 0, 3, 2], [1, 0, 1, 1, 2, 1, 0, 1, 2], [3, 0, 3, 0, 1, 1, 1, 0], [3, 3, 0, 3, 3, 0, 1, 1], [2, 1, 1, 0], [0, 1, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 1, 0, 3], + [2, 3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 3], [3, 3, 2, 1, 1, 0, 3, 3], [2, 1, 0, 3, 3, 0, 1, 2, 3], [1, 1, 0, 3, 2, 3, 3, 0], [1, 1, 0, 1, 2, 3, 3, 2, 1, 0], [0, 3, 2, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1], + [1, 1, 0, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 0, 1, 1], [3, 2, 1, 1, 0, 3, 0, 1, 2], [3, 0, 1, 1, 1, 0, 1, 0, 1, 2], [2, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 0, 3, 0], [0, 3, 2, 3, 3, 0, 1, 0, 1, 1], + [0, 3, 2, 3, 0, 3, 0, 1, 1], [0, 1, 2, 3, 2, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 0], [2, 3, 3, 2, 1, 0], [1, 1, 1, 2, 3, 3, 2, 1], [1, 2, 3, 0, 1, 1, 2, 3, 0], [1, 2, 3, 3, 0, 1, 1, 1, 2], + [3, 0, 1, 1, 2, 1], [3, 2, 1, 0, 3, 2, 3, 3, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 2, 3, 3, 0, 1, 1], [0, 3, 0, 1, 0, 3, 3, 0], [1, 2, 3, 2, 3, 0, 3, 2, 3], [2, 1, 1, 1, 2, 3, 0], [0, 3, 2, 3, 2, 1], + [1, 1, 2, 3, 2, 3, 0, 1], [1, 0, 1, 2, 3, 0, 3, 2], [1, 0, 1, 0, 3, 0, 1], [0, 1, 1, 0, 3, 0, 3, 3], [2, 3, 0, 1, 1, 0], [2, 1, 2, 3], [0, 1, 0, 3, 3, 0, 1, 2, 1, 2], [3, 2, 1, 1, 2, 3, 2], + [0, 3, 3, 0, 1, 0, 1, 2], [1, 2, 1, 0, 3, 0, 3, 3, 2], [1, 0, 3, 3, 2, 3, 3, 0], [3, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 3, 0, 1], [1, 0, 1, 0, 1, 0, 3, 2, 3, 2], [0, 3, 3, 0, 3, 2, 1, 1, 1], [0, 3, 2, 3, 3, 2, 1, 1], + [1, 0, 1, 1, 0, 3, 2, 1], [1, 1, 0, 1, 0, 1, 0], [3, 0, 3, 0, 3, 2, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3], [3, 2, 1, 2, 1, 0, 3, 0], [1, 0, 1, 2, 1, 2, 1, 0, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 1, 2, 1, 0, 3], + [3, 3, 0, 3, 3, 0, 1], [3, 0, 3, 0, 1, 1, 1, 0, 3], [3, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 2], [2, 1, 1, 0, 3], [0, 1, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3], + [1, 0, 3, 3, 0, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 2, 1, 1], [0, 3, 2, 3, 3, 0, 1, 0, 1], [0, 3, 0, 3, 2, 3, 0, 3, 2], [2, 1, 1, 1, 0, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 1, 1], [0, 1, 0, 3, 2], + [1, 2, 3, 0, 1, 2, 1, 0, 3], [3, 0, 1, 2, 1, 1], [0, 1, 1, 2, 3, 0, 1], [0, 1, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 2, 3], [1, 2, 3, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3], + [1, 0, 3, 3, 2, 1, 1, 0], [3, 0, 3], [2, 1, 2, 1, 0, 3, 2, 3, 2], [1, 2, 1, 1, 1, 0, 1, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 3], [3, 0, 3, 0, 3, 2, 3, 0], [3, 2, 1, 0, 3, 2, 1, 1, 0], [3, 0, 3, 2, 1, 0, 1, 2], + [3, 3, 2, 1, 1, 1, 2, 3], [2, 3, 2, 1, 2, 3, 3, 2, 1], [2, 3, 2], [1, 1, 1, 2, 1], [0, 1, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 2, 1, 2], [1, 0, 3, 2, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1], + [0, 3, 0, 3, 0, 1, 2, 1, 0, 3], [1, 1, 0, 3, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 1], [0, 1, 1, 1, 2, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 3, 3, 0], [2, 1, 2, 3, 3, 0, 1, 1, 1], [2, 3, 3, 0, 1, 1, 0, 3, 0], [0, 1, 2, 3, 3, 0, 3, 2, 1, 0, 1], + [1, 2, 1, 2, 1, 2, 3], [0, 3, 3, 0, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 3, 3], [0, 1, 2, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0], [0, 3, 3, 2, 1, 0], [1, 1, 2, 1, 1, 1, 0, 3, 2], [2, 1, 1, 2, 1, 2, 3, 3, 2], + [0, 3, 2, 1, 1], [0, 1, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 3, 0], [3, 2, 1, 1, 0, 3, 0, 3, 2], [1, 0, 3, 0, 3, 2, 1, 0, 3], [1, 0, 3, 0, 1, 1, 2, 3, 3], + [2, 3, 3, 2, 3, 0], [2, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 2, 3], [0, 1, 1, 1, 0, 1, 2, 1], [0, 1, 1, 2, 1, 0, 1, 0, 1], [2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 0, 3, 3, 0], [0, 1, 1, 1, 2, 1, 0, 3, 0], + [3, 2, 3, 3, 0, 1], [1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 1, 2, 1, 0, 3], [1, 1, 0, 1, 0, 3, 0], [1, 1, 0, 3, 0, 3, 0], [2, 3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 1, 2, 1, 2, 1, 0, 3], [3, 3, 2, 1, 0, 1], + [2, 3, 2, 3, 2, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 1], [1, 1, 0, 1, 2, 1, 2], [1, 0, 1, 0, 1, 2, 3, 2, 1], [3, 0, 3, 3, 0, 1, 1, 0, 3], [3, 2, 3, 0, 1, 0, 3, 3], [1, 2, 3, 0, 3, 3, 2], [0, 3, 2, 1, 0, 1, 1, 0, 3], + [0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 3, 3, 2, 3, 2, 1], [3, 2], [2, 3, 2, 3, 0, 1, 1, 2], [1, 1, 2, 3, 3, 2, 3, 3], [0, 1, 1, 2, 1, 1, 0, 3], [2, 1, 2, 1, 1, 2, 1], [1, 1, 0, 1, 2, 1, 2, 1, 0], + [0, 1, 2, 3, 3], [0, 3, 2, 1, 1, 1, 0], [0, 1, 1, 2, 1, 2, 1, 2], [3, 0, 3, 3, 2, 1, 1], [3, 0, 1, 0, 3, 3, 0, 3], [0, 3, 2, 1, 2, 1, 1], [1, 0, 3, 2, 3], [0, 1, 1, 0, 1, 0, 1, 2, 1, 1], + [0, 1, 0, 1, 1, 1, 0, 3, 3], [3, 3, 2, 1, 1, 1], [1, 0, 1, 2, 3, 3, 2, 3, 2], [0, 3, 2, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 0, 3], [0, 3, 3, 2, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 1], + [1, 1, 1, 0, 1, 1], [2, 3, 2, 3, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 3], [1, 1, 1, 0, 3, 0, 1, 2], [0, 1, 2, 1, 1, 2, 1, 1, 2], [1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 0, 3, 2, 3, 2, 3, 3], [1, 2, 3, 0, 3, 0, 3, 2], + [2, 3, 3, 2, 3, 0, 1, 0], [0, 3, 0, 1, 1, 1, 2, 3], [0, 1, 2, 1, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 1, 0], [1, 1, 0, 3, 3, 2, 1, 1, 1, 2], [1, 1, 2, 1, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 1, 0, 1], [2, 1, 1, 0, 1, 1, 2, 1], + [0, 1, 1, 2, 1, 0, 1, 1, 1], [1, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 1, 2, 3, 2, 3, 3, 0], [0, 3, 2, 1, 0, 1, 1, 2], [1, 2, 3, 3, 0, 1, 0, 3, 3], [3, 3, 2, 1, 2, 1, 2, 1, 1, 1], [2, 1, 1, 1, 0, 3, 0, 3], [0, 1, 1, 2, 3, 0, 3, 3, 2, 1], + [0, 1, 1, 0, 3, 3, 2, 3], [3, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 2, 1], [0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 0, 3, 0, 1, 1, 1], [1, 2, 1, 2, 3, 3, 0, 1, 2], + [1, 2, 1, 1, 0, 3, 0], [0, 1, 2, 1, 1, 0, 1, 1, 0], [1, 1, 1, 2, 1, 1, 0], [2, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0, 3], [1, 1, 1, 0, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0, 1], + [0, 1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 3, 3, 0, 3, 3, 2], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 0, 3, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1, 1], + [1, 0, 1, 0, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 3], [0, 1, 2, 3, 0, 3, 3], [1, 0, 1, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 2, 1, 2, 1], [0, 3, 0, 1, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2, 1, 1], + [0, 3, 2, 3, 3, 0, 1, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2], [0, 1, 1, 0, 1, 1], [2, 1, 0, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 1, 1, 0, 3, 3], + [1, 0, 3, 2, 1, 0, 3, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0, 1, 1, 2], [1, 2, 1, 0, 1, 0, 3, 2], [2, 3, 0, 3, 3, 0, 3], [0, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 2, 1, 2], [2, 3, 0, 3, 3, 2], + [1, 2, 3, 3, 2, 1, 1, 2], [2, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 2, 1, 1], [2, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 3, 3], [2, 1, 1, 2, 1, 1, 2, 1, 2], [0, 3, 0, 1, 2, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1], + [1, 0, 3, 3, 0], [3, 0, 3, 2, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3, 0, 1, 1], [0, 3, 0, 1, 1, 0], [1, 1, 1, 2, 3, 2, 1], [2, 3, 2, 3, 3, 2, 1], [1, 0, 1, 1, 1], [0, 3, 3, 2, 3, 2], + [1, 0, 3, 3, 0, 1, 0], [0, 3, 2, 1, 1, 2, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 2], + [3, 0, 3, 0, 3, 3, 2, 1, 2], [1, 1, 2, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 1, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 3, 0, 1, 2, 3, 0], [3, 0, 1, 1, 1, 2, 1], [0, 3, 0, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2], + [1, 0, 1], [0, 3, 3, 2, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 1, 2, 3, 2], [3, 2, 1, 0, 1, 1], [1, 2, 1, 1, 1, 2, 1, 2], + [0, 3, 2, 3, 3, 0, 1, 1, 2], [3, 2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 0], [1, 2, 1, 1, 2, 1, 1, 2], [2, 1, 2, 3, 3, 2, 1, 2], [3, 0, 1, 1, 1, 2, 3], [3, 3, 2, 3, 0, 1, 0], + [3, 2, 1, 2, 3, 3, 2], [1, 2, 1, 0, 1, 2, 3, 3, 0], [3, 3, 0, 3, 2], [2, 3, 2, 3, 3, 2, 3], [3, 0, 1, 2, 1, 2, 1, 2], [2, 1, 1, 2, 3, 2, 1, 1, 0], [3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 3, 0], + [0, 1, 1, 1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 1, 0, 3, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2], [2, 1, 1, 2, 3, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 1, 1, 1], [0, 1, 2, 3, 0, 1, 1], [1, 0, 1, 1, 0, 3, 0, 1, 2], [1, 1, 0, 1, 1, 2, 3, 0, 1], + [3, 0, 3, 2, 3, 3, 2, 3, 3], [1, 0, 3, 3, 0, 3, 3], [2, 1, 0, 3, 3, 2, 1, 1, 0], [0, 3, 0, 3], [2, 1, 1, 0, 3, 3, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0], [3, 0, 1, 0, 3, 3, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 1, 0, 1, 0], + [0, 3, 2, 3, 2, 1, 1, 1, 2, 1], [3, 3, 2, 1, 0, 3, 2, 3], [1, 2, 3, 3, 0, 1, 2, 1, 0], [0, 3, 2, 1, 0, 1, 0, 3, 2], [0, 1, 1, 0], [3, 3, 0, 1, 2, 1, 1], [1, 2, 1, 2, 3, 3, 2, 3, 2], [2, 1, 2, 1, 0, 1, 2, 3, 0], + [0, 3, 0, 1, 1, 0, 3, 3], [2, 3, 0, 3, 0, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2], [3, 2, 1, 1, 1, 2, 3, 2], [2, 3, 0, 3, 3, 2, 3, 3], [2, 1, 1, 0, 1, 2, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 1], + [1, 0, 3, 2, 1, 0, 3, 3, 0, 3], [2, 1, 1, 2, 1, 0, 1, 2, 1], [0, 3, 0, 1, 2, 1, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2], [0, 1, 2, 3, 2, 3, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2, 3], [1, 0, 3, 0, 3, 3, 2], + [3, 2, 1, 1, 1, 2, 3, 2, 1], [3, 0, 1, 1, 0, 1, 2, 1], [0, 3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0], [1, 0, 3, 3, 0, 3], [3, 0, 3, 2, 3, 3, 2, 3], [0, 3, 0, 1, 1, 0, 3], [2, 3, 0, 3, 0, 3, 3, 0, 1], + [2, 1, 2, 3, 3, 2, 1, 2, 1], [1, 2, 1, 1, 2, 1, 1, 2, 1], [2, 3, 0, 3, 3, 2, 3], [2, 1, 1, 0, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2, 3], [0, 3, 2, 3, 3, 0, 1, 1, 2, 1], [1, 1, 2, 1, 2, 3, 2, 3], [1, 1, 2, 1, 1, 0], + [2, 1, 0, 1, 2, 1, 2, 3], [0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 2, 1, 2], [3, 3, 2, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 0, 3, 3, 0], [3, 0, 1, 1, 1, 2], [3, 2, 1, 1, 0, 3, 3, 0], + [1, 2, 3, 2, 3, 3, 2, 3, 0], [0, 1, 0, 3, 0, 1, 1, 0, 3, 3], [2, 1, 2, 1, 2, 1, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2, 1], [1, 0, 3, 3, 0, 1, 0, 3], [3, 0, 1, 2, 1, 0, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1], [1, 2, 3, 0, 1, 1, 2, 1, 2, 3] +] +private def clayworthWitnessData_chunk10 : Array (List (Fin 4)) := #[ + [0, 1, 1, 2, 3, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 3, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3, 3], [0, 1, 0, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2], [1, 0, 3, 0, 3, 3, 2, 1], + [1, 1, 1, 2, 3, 2], [2, 3, 2, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 1, 2, 3, 3, 2, 1], [3, 2, 3, 0, 1, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 1, 2], + [3, 2, 1, 0, 1, 1, 1], [0, 3, 0, 3, 0, 3, 2, 1, 2], [0, 3, 3, 2, 3, 2, 3], [1, 0, 1, 1], [1, 2, 1, 1, 1, 0, 1, 2], [0, 1, 1, 2, 1, 1, 2, 3, 0, 3], [0, 1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 3, 0], + [2, 3, 2, 1, 2, 1, 0, 3, 0], [3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 2, 3, 0, 1, 2, 1], [1, 2, 1, 1, 0, 1, 1, 2], [0, 3, 0, 1, 2, 3, 3], [2, 1, 2, 1, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1, 0] +] +private def clayworthWitnessData : Array (List (Fin 4)) := + clayworthWitnessData_chunk0 ++ clayworthWitnessData_chunk1 ++ clayworthWitnessData_chunk2 ++ clayworthWitnessData_chunk3 ++ clayworthWitnessData_chunk4 ++ clayworthWitnessData_chunk5 ++ clayworthWitnessData_chunk6 ++ clayworthWitnessData_chunk7 ++ clayworthWitnessData_chunk8 ++ clayworthWitnessData_chunk9 ++ clayworthWitnessData_chunk10 +private theorem clayworthWitnessData_size : clayworthWitnessData.size = 4032 := by native_decide + +def clayworthWitnessWords (v : Fin 4032) : List (Fin 4) := + clayworthWitnessData[v.val]'(by have := clayworthWitnessData_size; omega) + +theorem clayworthWitness_correct : + ∀ v : Fin 4032, applyWord' clayworthGens (clayworthWitnessWords v) 0 = v := by + native_decide + +/-! ## Sabidussi coset graph -/ + +section ClayworthSabidussi + +/-- The group generated by the two G₂(2) generators. -/ +private def cGroup := Subgroup.closure (Set.range clayworthGens) + +private noncomputable instance : MulAction cGroup (Fin 4032) := + MulAction.compHom _ cGroup.subtype + +private noncomputable instance : GraphAction cGroup (Fin 4032) clayworthGraph where + adj_smul g u v h := closureGraphAction clayworthGens + (fun i => by match i with | 0 => exact clayworthGen1_adj | 1 => exact clayworthGen2_adj) + g.1 g.2 u v h + +private noncomputable instance : MulAction.IsPretransitive cGroup (Fin 4032) where + exists_smul_eq x y := + ⟨⟨_, cGroup.mul_mem (applyWord'_mem clayworthGens _) + (cGroup.inv_mem (applyWord'_mem clayworthGens _))⟩, by + change ((applyWord' clayworthGens (clayworthWitnessWords x)).symm.trans + (applyWord' clayworthGens (clayworthWitnessWords y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' clayworthGens (clayworthWitnessWords x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (clayworthWitness_correct x).symm] + exact clayworthWitness_correct y⟩ + +/-- **The Clayworth graph is a Sabidussi coset graph.** + +G₂(2) acts vertex-transitively on the 4032 cosets of C₃. +`Clayworth ≃g Sab(G₂(2), C₃, D)` with `4032 = 12096/3` vertices, genus 505. -/ +noncomputable def clayworthSabidussiIso : + clayworthGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer cGroup (0 : Fin 4032)) + (connectionSet cGroup clayworthGraph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +end ClayworthSabidussi From ef6c090ef4dbf2d239d8e59ae0b314ca94eb7955 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 16:45:00 +1000 Subject: [PATCH 27/35] style: suppress longLine linter for ClayworthSabidussi data arrays --- Archive/ClayworthSabidussi.lean | 1 + 1 file changed, 1 insertion(+) diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean index efc82a78c3bdf6..1faf610ee6a08d 100644 --- a/Archive/ClayworthSabidussi.lean +++ b/Archive/ClayworthSabidussi.lean @@ -25,6 +25,7 @@ and BFS witness words prove transitivity. -/ set_option linter.style.longFile 1900 +set_option linter.style.longLine false set_option linter.style.nativeDecide false /-! ## Neighbor data (O(3) adjacency lookup) -/ From 20d3687eb7ddfb2d517d1cb049577908c98ef6ae Mon Sep 17 00:00:00 2001 From: "pre-commit-ci-lite[bot]" <117423508+pre-commit-ci-lite[bot]@users.noreply.github.com> Date: Fri, 22 May 2026 06:45:57 +0000 Subject: [PATCH 28/35] [pre-commit.ci lite] apply automatic fixes --- Archive/ClayworthSabidussi.lean | 1008 +++++++++++++++---------------- 1 file changed, 504 insertions(+), 504 deletions(-) diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean index 1faf610ee6a08d..19f265b5dbeaf3 100644 --- a/Archive/ClayworthSabidussi.lean +++ b/Archive/ClayworthSabidussi.lean @@ -1244,530 +1244,530 @@ theorem clayworthGen2_inv_adj : ∀ u v : Fin 4032, /-! ## BFS witness words -/ private def clayworthWitnessData_chunk0 : Array (List (Fin 4)) := #[ - [], [1, 1, 1, 2, 1, 0, 1, 0], [2, 1, 2, 1, 0, 3], [0, 3, 2, 3, 0, 1, 1, 2, 1, 1], [1, 0, 1, 2, 3, 3, 2], [0, 1, 1, 1, 2, 3, 3, 2, 3, 3], [3, 2, 1, 0, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 1], - [2, 3, 3, 2, 3, 0, 1, 2, 1], [3, 2, 1, 1, 1, 0, 1, 1], [1, 1, 0, 3, 3, 2, 3, 3], [1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 2, 1, 0], [0, 1, 2, 1, 1, 1, 0, 3, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3], [0, 1, 2, 1, 0, 1, 1], - [1, 2, 3, 2, 3, 3, 0], [0, 3, 0, 3, 0, 1, 2, 1, 1], [2, 3, 3, 0, 3, 2, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1], [1, 2, 1, 1, 1, 0, 1, 0, 1, 2], [0, 1, 2, 1, 2, 3, 0, 3, 3, 2], [3, 2, 3, 0, 3, 0, 3], [2, 3, 2, 1, 2, 1], - [0, 1, 1, 1, 0, 3, 3], [1, 2, 1, 2, 1, 0, 1], [1, 0, 3, 2, 1, 1, 0, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1], [2, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 2, 3, 0, 1, 2, 3], [3, 0, 3, 0, 1, 0], [1, 1, 0, 1, 1, 2, 3, 3], - [0, 1, 2, 3, 3, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1], [1, 0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 3, 0, 3, 3, 2, 3], [0, 1, 1, 2, 1, 2, 1, 1], [3, 0, 3, 3, 2, 1, 1, 0, 1], [1, 2, 1, 2, 3, 3, 0, 1, 1], [0, 1, 2, 3, 2, 3, 0, 3, 0, 3, 2], - [3, 3, 2, 1, 1, 1, 0, 1], [3, 3, 0, 3, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 3, 0], [1, 0, 1, 1, 2, 1, 2], [0, 1, 1, 0, 3, 2, 3], [2, 1, 1, 2, 3, 0], [1, 1, 0, 3, 2, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 2, 3, 0], - [1, 2, 3, 0, 3, 0], [3, 3, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 1, 0, 1], [2, 3, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1], [2, 1, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3, 0, 1, 1], [2, 3, 0, 3, 0, 3, 0, 3, 3], - [1, 1, 1, 0, 3, 0, 1, 1], [1, 0, 1, 0, 1, 2, 1, 1], [3, 0, 1, 1, 1, 0, 1, 2], [3, 2, 1, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 0, 3, 3], [2, 1, 0, 3, 0, 3, 3, 0], [1, 1, 1, 2, 3, 0, 1, 2], [2, 3, 0, 3, 0, 1, 1, 2], - [0], [1, 1, 1, 2, 1, 0, 1, 2], [2, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 0, 1, 1, 1], [1, 0, 1, 2, 3, 3], [1, 1, 0, 1, 1, 0, 1, 1, 1], [3, 2, 1, 0, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 1, 1, 0], - [0, 1, 1, 2, 1, 0, 3, 0, 3], [3, 2, 1, 1, 1, 0, 1, 1, 0], [2, 1, 1, 2, 1, 2, 3, 2], [1, 1, 2, 1, 1, 1], [1, 1, 0, 3, 0, 3, 2, 1, 2], [1, 2, 1, 2, 1, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 0], [0, 1, 2, 1, 0, 1, 1, 0], - [1, 2, 3, 2, 3, 3, 2], [1, 2, 1, 0, 3, 0, 3, 2, 3], [0, 3, 2, 1, 2, 3, 3, 0, 3], [3, 2, 3, 3, 2, 1, 1, 1, 0], [1, 2, 1, 1, 1, 0, 1, 0, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 3, 0, 3, 0, 3, 0], [2, 3, 2, 1, 2, 1, 0], - [0, 1, 1, 1, 0, 3, 3, 0], [1, 2, 1, 2, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 0, 1, 1, 2, 1, 2, 3], [1, 0, 3, 2, 1, 0, 3], [3, 0, 3, 0, 1, 2], [1, 1, 0, 1, 1, 2, 3, 3, 0], - [0, 1, 2, 3, 3, 0, 1, 0], [1, 0, 3, 3, 0, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 0, 3], [0, 3, 0, 3, 3, 2, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2, 3], [1, 2, 1, 2, 3, 3, 0, 1, 1, 0], [0, 1, 2, 3, 2, 3, 0, 3, 0, 3], - [3, 2, 1, 0, 1, 1, 1, 2, 1], [0, 3, 0, 3, 0, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 2], [1, 0, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 3, 0], [2, 1, 1, 2, 3, 2], [1, 1, 0, 3, 2, 1, 1, 2], [1, 1, 0, 1, 2, 3, 3, 2, 3, 2], - [1, 2, 3, 0, 3, 2], [3, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 2, 1, 1, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1, 0], [0, 3, 3, 2, 1, 2, 1, 2], [3, 3, 0, 3, 3, 2, 1, 0, 1], [0, 1, 0, 1, 0, 3, 2, 3, 2, 3], - [1, 1, 1, 0, 3, 0, 1, 1, 0], [1, 1, 0, 1, 2, 1, 1, 2], [3, 0, 1, 1, 1, 0, 1], [3, 2, 1, 1, 0, 3], [1, 2, 3, 3, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 3, 2], [1, 1, 1, 2, 3, 0, 1], [2, 3, 0, 3, 0, 1, 1], - [3, 0, 1, 0, 1, 0, 3, 2], [2, 3, 3, 2, 1, 1, 2, 1], [1, 2, 1, 1, 2, 1, 2, 3, 0], [2, 1, 2, 3, 3, 0, 3, 0], [1, 0, 1, 0, 3, 3, 2, 1, 0, 3], [1, 1, 0, 3, 2, 3, 0, 1], [0, 1, 0, 3, 2, 3, 0, 3, 0], [1, 2, 3, 0, 1, 1, 0, 1], - [0, 1, 2, 1, 1, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3], [0, 1, 0, 1, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 3, 0, 3], [0, 3, 2, 1, 2, 1, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1, 1, 2, 1, 2], [3, 2, 3, 0, 1, 2], [0, 1, 0, 3, 2, 3, 3, 2], - [1, 0, 1, 0, 3, 0, 3, 2], [2, 1, 1, 2, 1, 1, 0, 1], [2, 1, 0, 1, 0, 1], [0, 1, 1, 0, 3, 3, 0, 1, 1], [3, 0, 1, 2, 1, 2, 3], [1, 2, 1, 1, 1, 0, 3, 0], [0, 1, 1, 2, 3, 3], [1, 1, 1, 0, 1, 0, 1, 2], - [1, 2, 1, 1, 1, 2, 3], [3, 0, 1, 1, 2, 3, 2], [0, 3, 0, 3, 0, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2, 1], [2, 3, 2, 1, 1, 0], [1, 1, 1, 2, 1, 1, 1, 0], [0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 0, 3, 0, 3, 0, 1, 1, 0], - [1, 0, 1, 0, 3, 3, 0, 1, 2, 3], [2, 3, 3, 2, 3, 0, 1, 1, 0], [2, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 2, 3, 0], [0, 1, 1, 1, 0, 1, 2, 3, 3, 0, 3], [3, 2, 1, 2, 1, 1], [1, 1, 0, 1, 2, 1, 2, 1, 1, 0], [0, 1, 1, 0, 1, 0, 3, 0, 3], - [0, 1, 2, 3, 3, 2, 1, 0], [0, 3, 2, 3, 3, 0], [1, 0, 1, 1, 0, 3, 3, 0], [0, 1, 0, 3, 2, 3, 2, 3], [0, 1, 2, 3, 2, 1, 1], [0, 3, 2, 3, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0], - [2, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 3, 2, 1, 0], [2, 1, 2, 3, 3, 2, 3], [1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 2, 3, 3, 2, 1], [2, 1, 1, 0, 3, 3, 2, 3], - [3, 0, 1, 1, 0, 3], [3, 0, 3, 0, 3, 3, 0, 1], [1, 0, 1, 1, 0, 3, 2, 3, 2], [1, 0, 3, 0, 1, 1], [1, 1, 2, 3, 2, 3, 3], [3, 3, 2, 1, 0, 3, 3, 0, 3], [0, 3, 3, 2, 3, 3, 2, 1], [2, 1, 1, 1, 0, 1], - [2], [1, 1, 1, 2, 1, 0, 1], [2, 1, 2, 1, 0, 3, 2], [0, 3, 2, 3, 2, 1, 1, 2, 3, 3], [1, 0, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 1, 2, 3, 2], [1, 0, 3, 0, 3, 2, 1, 1, 2], - [3, 0, 3, 2, 1, 0, 1, 1], [3, 0, 1, 1, 2, 1, 1, 0, 3], [2, 1, 1, 2, 1, 2, 3], [1, 1, 2, 1, 1, 1, 0], [1, 1, 0, 3, 0, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 2], [0, 1, 2, 1, 0, 1, 1, 2], - [1, 2, 3, 2, 3, 3], [0, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1, 2], [3, 2, 1, 2, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3, 0], [3, 2, 3, 0, 3, 0, 3, 2], [2, 3, 2, 1, 2, 1, 2], - [0, 1, 1, 1, 0, 3, 3, 2], [1, 2, 1, 2, 1, 0, 1, 2], [2, 3, 3, 0, 3, 3, 2, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 3, 0, 3], 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3, 0, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 2], [0, 1, 2, 1, 0, 1, 1, 2], + [1, 2, 3, 2, 3, 3], [0, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1, 2], [3, 2, 1, 2, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3, 0], [3, 2, 3, 0, 3, 0, 3, 2], [2, 3, 2, 1, 2, 1, 2], + [0, 1, 1, 1, 0, 3, 3, 2], [1, 2, 1, 2, 1, 0, 1, 2], [2, 3, 3, 0, 3, 3, 2, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 3, 0, 3], [1, 2, 3, 0, 1, 2, 3], [3, 0, 3, 0, 1], [1, 0, 3, 3, 2, 1, 1, 2, 1], + [0, 1, 2, 3, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 2, 1], [2, 3, 0, 1, 0, 3, 3, 2, 3], [0, 3, 0, 3, 3, 2, 3, 2], [0, 1, 1, 2, 1, 2, 1, 1, 2], [0, 1, 1, 0, 3, 0, 3, 2, 3, 3], [1, 2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 1, 1, 0, 1, 0, 3, 3, 0, 3], + [3, 0, 3, 0, 1, 1, 1, 2, 3], [3, 3, 0, 3, 3, 0, 1, 1, 0, 3], [2, 1, 0, 3, 3], [1, 0, 1, 1, 2, 1, 0], [0, 1, 1, 0, 3, 2, 3, 2], [2, 1, 1, 2, 3], [1, 1, 0, 3, 2, 1, 1], [1, 1, 0, 1, 2, 3, 3, 2, 3], + [1, 2, 3, 0, 3], [3, 3, 2, 3, 0, 3, 0], [1, 0, 1, 1, 0, 1, 1, 0, 1], [3, 2, 3, 3, 0, 1, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1, 2], [0, 3, 3, 2, 1, 2, 1], [1, 1, 0, 3, 2, 3, 3, 2, 3], [1, 1, 0, 1, 1, 1, 2, 1, 1], + [1, 1, 1, 0, 3, 0, 1, 1, 2], [1, 1, 0, 1, 2, 1, 1], [3, 0, 1, 1, 1, 0, 1, 0], [3, 2, 1, 1, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 0, 3], [2, 1, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 2, 1], [2, 3, 0, 3, 0, 1, 1, 0], + [0, 3, 0, 1, 0, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 3, 3, 0], [1, 1, 2, 1, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 2], [0, 3, 0, 3, 3, 2, 1, 0, 1, 1], [1, 2, 3, 2, 1, 1, 0, 1], + [1, 0, 1, 2, 1, 2, 1, 1], [1, 1, 0, 3, 3], [1, 1, 0], [2, 3, 2, 3, 0, 3, 0], [0, 3, 0, 1, 2, 1, 1, 2, 1, 0], [2, 1, 1, 2, 1, 1, 1, 0, 3], [3, 2, 1, 2, 3, 3, 0, 1, 2], [1, 2, 1, 0, 1, 2, 3, 2], + [3, 3, 0, 3, 0, 1, 2], [2, 3, 3, 0, 1], [2, 3, 0, 3, 0, 3, 2], [1, 1, 1, 2, 3, 0, 3, 3, 2], [0, 3, 0, 3, 3, 2, 1, 0], [1, 2, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 2, 1, 0], [2, 1, 1, 2, 3, 0, 1, 1, 0], + [1, 2, 3, 3, 2, 3, 2, 3], [3, 2, 3, 0, 3, 0, 1, 0], [0, 3, 0, 3, 3, 2, 1, 0, 3, 3], [1, 2, 3, 2, 1, 1, 0, 1, 1, 1], [3, 2, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1], + [3, 0, 3, 2, 1, 2, 1], [1, 0, 3, 3, 2, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 2, 1, 1], [0, 3, 0, 1, 0, 1, 1, 1, 2, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 2, 1, 1, 1], [0, 1, 1, 1, 2, 3, 3], + [0, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 3, 2, 3, 2, 1], [0, 1, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 3], [0, 1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 3, 2, 1, 1, 2, 3], [2, 3, 0, 1, 2, 1, 1, 1], [0, 1, 2, 3, 0, 1, 2, 1, 0], + [2, 3, 3, 0, 3], [3, 2, 3, 3, 2, 3, 0], [2, 1, 1, 0, 1, 0, 1, 0], [2, 3, 0, 1, 2, 3], [2, 3, 0, 1, 2, 1], [2, 1, 2, 3, 2, 3, 2, 1], [1, 1, 1, 0, 3, 0, 3, 3, 0], [1, 0, 1, 0, 1, 2, 3, 3, 0], + [1, 2, 1, 2, 3, 2, 3, 0], [1, 2, 3, 0, 3, 0, 1, 1, 0], [3, 3, 2, 3, 0, 1, 1, 2], [3, 0, 3, 2, 1, 2, 3], [1, 2, 3, 3, 2, 3, 2, 1, 1, 1], [3, 2, 1, 1, 1, 0, 3, 3, 0], [2, 1, 2, 1, 0, 1, 0], [2, 1, 0, 1, 1, 0, 1], + [2, 1, 2, 3, 2, 3, 2, 1, 1], [2, 3, 0, 1, 2, 1, 1], [0, 3, 3, 2, 1, 1, 2], [2, 1, 1, 1, 2, 3, 3, 2], [3, 3, 0, 3, 0, 1, 2, 1], [2, 3, 3, 0, 1, 1], [3, 0, 3, 2, 1, 2, 3, 3], [3, 3, 2, 3, 0, 1, 1, 2, 3], + [1, 0, 3, 3, 2, 1, 1, 1, 2], [3, 0, 3, 2, 1, 2], [2, 1, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 2, 3, 3, 0, 3], [1, 0, 1, 2, 1, 2, 3], [1, 1, 0, 1], [0, 1, 1, 1, 2, 3], [0, 1, 0, 3, 0, 3, 2, 3, 3], + [1, 1, 0, 1, 1, 1], [1, 0, 1, 2, 1, 2, 1], [2, 1, 0, 1, 2, 3, 3, 2], [1, 2, 3, 2, 3, 0, 1, 1, 0], [1, 1, 1, 0, 3, 0, 3, 3, 0, 1], [2, 1, 1, 0, 3, 2, 3, 2], [3, 0, 3, 0, 3, 0], [1, 0, 3, 3, 2, 1, 1, 2, 3, 0], + [1, 0, 3, 3, 2, 1, 0, 3, 2, 1], [3, 0, 3, 2, 1, 2, 1, 1], [1, 2, 1, 0, 1, 0, 1, 1, 2], [2, 3, 0, 1, 2, 3, 3], [0, 1, 1, 1, 2, 1, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 2, 3], [3, 0, 3, 0, 3, 0, 1, 1], + [1, 2, 3, 0, 1, 1, 1, 0], [1, 2, 3, 3, 2, 3, 2], [2, 3, 3, 0, 3, 3], [3, 2, 3, 3, 2, 3, 0, 3], [2, 1, 1, 2, 3, 0, 1, 1, 0, 1], [1, 1, 2, 1, 2, 1, 1, 2], [3, 0, 3, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0], + [1, 1, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0], [2, 1, 2, 1, 0, 1, 0, 1], [2, 1, 0, 1, 1, 0], [1, 1, 2, 1, 1, 1, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 3, 3, 0, 1], [1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 0, 3, 3, 2, 1, 0, 3], + [1, 2, 3, 3, 2, 3, 2, 1, 1], [0, 1, 2, 1, 1, 2, 3, 0, 1], [3, 2, 3, 0, 3, 0, 1, 0, 3], [1, 2, 3, 3, 2, 3, 2, 3, 3], [0, 3, 0, 3, 2, 1, 2, 1], [0, 3, 0, 1, 0, 1, 1, 1, 2], [0, 3, 0, 3, 3, 2, 1, 0, 1], [1, 2, 3, 2, 1, 1, 0], + [1, 1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 1], [2, 3, 2, 3, 0, 3, 0, 3], [1, 1, 0, 3], [2, 3, 0, 1, 2], [2, 1, 2, 3, 2, 3, 2], [0, 1, 1, 1, 2, 1], [0, 1, 0, 3, 0, 3, 2], + [3, 0, 1, 0, 1, 0, 3], [0, 1, 0, 1, 1, 2, 3, 3], [0, 1, 0, 3, 3, 2, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1, 2, 3], [3, 3, 0, 3, 3, 0, 3], [0, 1, 0, 3, 2, 3, 0, 3, 2], [1, 2, 3, 0, 1, 1, 0, 1, 0], + [0, 1, 2, 1, 1, 1, 0, 1], [1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 2, 1, 2, 1], [2, 1, 1, 0, 1, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 1, 2], [3, 2, 3, 2, 1, 1, 1, 2, 1], [3, 2, 3, 0, 1], [0, 1, 0, 3, 2, 3, 3] ] private def clayworthWitnessData_chunk1 : Array (List (Fin 4)) := #[ - [1, 0, 1, 0, 3, 0, 3], [0, 1, 1, 0, 3, 0, 1, 1], [0, 3, 2, 3, 2, 3], [2, 1, 1, 1, 2, 3, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 0], [1, 2, 1, 1, 1, 0, 3, 2], [0, 1, 1, 2, 3, 3, 0], [1, 1, 1, 0, 1, 0, 1], - [1, 2, 1, 1, 1, 2, 3, 0], [3, 0, 1, 1, 2, 3], [2, 1, 2, 1, 1, 1], [1, 2, 1, 1, 2, 1, 0, 3], [2, 3, 2, 1, 1, 2], [1, 1, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 1], [1, 0, 3, 0, 1, 1, 2, 1, 2, 3], - [1, 0, 3, 0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 3, 0, 1, 0, 3], [2, 3, 2, 1, 1, 1, 2, 3], [0, 1, 1, 2, 3, 2, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2, 1, 1], [0, 1, 1, 2, 3, 0, 3], [3, 2, 1, 2, 1, 1, 1, 0, 3], [0, 1, 1, 0, 1, 0, 3, 0, 3, 0], - [0, 3, 3, 0, 3, 2, 1], [0, 3, 2, 3, 3, 2], [0, 3, 3, 0, 1, 1, 2, 1], [0, 1, 0, 3, 2, 3, 2, 3, 0], [0, 1, 2, 3, 2, 1, 1, 0], [0, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 0, 3, 0], [3, 0, 1, 2], - [1, 1, 2, 3, 2, 3, 0, 3], [1, 0, 3, 2, 3, 2, 1, 2], [2, 1, 2, 3, 3, 2, 3, 0], [1, 2, 1, 1], [1, 0, 3, 2, 3, 3, 0, 1], [0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1], [1, 1, 2, 1, 2, 3, 3, 2, 1, 0], [0, 3, 0, 3, 3, 0, 1, 1], - [3, 0, 1, 1, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0], [1, 0, 1, 1, 0, 3, 2, 3], [1, 0, 3, 0, 1, 1, 0], [1, 1, 2, 3, 2, 3, 3, 0], [0, 3, 0, 1, 2, 1, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 3, 0, 3], [2, 1, 1, 1, 0, 1, 0], - [1, 1, 2, 1, 1, 2, 1, 2, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 1], [0, 1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 0, 1], [3, 0, 3, 3, 0, 1], [1, 0, 1, 2, 1, 0, 1, 1], [1, 1, 1, 0, 3, 0, 3, 0, 3, 0], [1, 0, 1, 0, 1, 2, 3, 0, 3, 0], - [3, 3, 0, 1, 0, 1, 1, 0], [1, 1, 0, 3, 3, 2, 1, 1], [3, 3], [2, 3, 2, 3, 0, 1], [0, 3, 3, 2, 1, 0, 1, 2, 3], [3, 2, 1, 1, 0, 3, 2, 3, 3], [1, 1, 0, 3, 2, 1, 1, 0, 3, 3], [0, 1, 1, 2, 3, 2, 1, 1, 0, 1], - [0, 1, 2, 1, 0], [2, 3, 3, 0, 1, 2, 1, 1], [2, 3, 0, 3, 0, 3, 0, 1, 1], [3, 0, 3, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3], [0, 1, 1, 2, 1, 0, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 1, 1], [2, 1, 1, 2, 3, 0, 3, 3], - [2, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0], [0, 3, 0, 1, 1, 1, 0, 3, 2], [0, 3, 0, 3, 0, 1, 2], [1, 2, 3, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 0, 3, 2, 3], [1, 0, 3, 2, 1, 1, 0], - [1, 0, 1, 0, 1, 1, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0], [2, 1, 2, 3, 3, 2, 1, 1, 2], [3, 3, 2, 1, 1, 1, 0, 3], [0, 3, 2, 1, 1, 1, 2, 3], [0, 1, 2, 3, 3, 0, 3], [1, 0, 1, 2, 3, 3, 2, 3, 3], [3, 0, 1, 0, 1, 1, 1, 2], - [0, 1, 2, 1, 1, 2, 1], [1, 0, 3, 0, 3, 2], [0, 1, 1, 1, 0, 1, 1], [1, 2, 1, 2, 1, 0, 3], [1, 0, 1, 1, 2, 1, 2, 3, 3], [2, 1, 0, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 2], - [1, 0, 1, 1, 0, 1, 0, 1], [3, 2, 3, 3, 2, 1], [2, 1, 1, 0, 1, 0, 1, 1, 1], [0, 3, 2, 1, 0, 1], [2, 3, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 3, 0], [1, 0, 1, 0, 1, 2], - [1, 1, 2, 3, 2, 1, 2], [1, 2, 3, 0, 3, 0, 3, 3], [1, 2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 2, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 2], [3, 2, 1, 1, 1, 0], [0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 3, 0, 1, 1, 2], - [1], [2, 3, 2, 3, 0, 3, 3], [2, 1, 2, 1, 0], [2, 1, 0, 1, 1, 0, 1, 2, 3], [1, 0, 1, 2, 3, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 3], [3, 2, 1, 0, 1, 2], [1, 0, 3, 0, 3, 2, 1, 1, 1], - [2, 3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 2, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 3], [1, 1, 2, 1, 1, 1, 2, 1], [2, 3, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 1, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 3], [0, 1, 2, 1, 0, 1, 1, 1], - [1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 0, 3, 0, 1, 2, 1, 1, 1], [2, 3, 3, 0, 3, 2, 3], [3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 2], [0, 3, 2, 1, 2, 1, 0, 3, 0], [3, 2, 3, 0, 3, 0], [1, 1, 2, 3, 0, 3, 2], - [0, 1, 1, 1, 0, 3], [1, 2, 1, 2, 1, 0, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1, 2, 3], [0, 1, 1, 1, 2, 1, 1, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2], [1, 0, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2, 3], - [0, 1, 2, 3, 3, 0, 1, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3, 3], [0, 3, 0, 3, 3, 2], [0, 1, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 2, 3, 0], [3, 0, 1, 0, 3, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 2, 3, 0], - [0, 3, 2, 3, 2, 1, 1, 1, 0], [2, 1, 1, 1, 2, 3, 0, 1, 1, 0], [2, 1, 0, 3, 3, 0, 1], [1, 0, 1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 3, 2], [2, 1, 1, 2, 3, 0, 1], [1, 1, 0, 3, 2, 1, 1, 0, 1], [1, 2, 1, 0, 1, 2, 3, 0, 3], - [1, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 2, 3, 3], [3, 3, 2, 1, 2, 3, 3], [2, 1, 0, 3, 0, 3, 2, 1, 0], [0, 3, 2, 1, 0, 3, 3], [2, 1, 1, 0, 1, 0], [2, 3, 3, 2, 1, 0, 1, 1, 0], [2, 3, 0, 3, 0, 3, 0, 3], - [1, 1, 1, 0, 3, 0, 1, 1, 1], [2, 1, 1, 2, 1, 0, 1, 0], [0, 3, 0, 1, 2, 1, 1, 2], [3, 2, 1, 1, 0, 3, 2, 1], [0, 3, 0, 3, 2, 1, 0, 3], [3, 3, 2, 3, 3, 0, 1, 2], [1, 1, 1, 2, 3, 0, 1, 2, 1], [1, 0, 3, 0, 3, 3, 2, 3, 2], - [2, 3, 0, 1, 0, 1, 0, 3, 2], [3, 3, 2, 1, 1, 2, 1], [1, 1, 0, 1, 0, 3, 3, 2], [1, 2, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 3, 2, 3, 3, 2], [0, 3, 0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 0, 1], - [3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 0, 3, 3], [0, 3, 2, 1, 2, 1, 2, 1], [1, 0, 3, 2, 1, 2, 1, 2, 3], [1, 1, 2, 1, 0], [2, 3, 2, 3, 0, 3, 2, 1, 0], [3, 2, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 2, 3], - [0, 1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0], [0, 3, 3, 0, 1, 1, 1], [0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0, 1], [0, 3, 2, 1, 2, 1, 2, 3, 3], [0, 1, 0, 1, 0, 3, 0, 3], [0, 1, 0, 1, 0, 3, 0, 1, 1], - [3, 0, 3, 2, 3, 2], [1, 0, 3, 3, 2, 1, 2], [0, 1, 0, 3, 3, 0, 3, 3, 0, 3], [1, 0, 3, 2, 3, 3, 2, 1], [1, 1, 0, 3, 3, 0, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 3, 0, 1], - [3, 2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 0, 3, 3, 0, 1, 0, 3], [0, 3, 2, 3, 2, 3, 3, 0, 1], [3, 3, 2, 1, 1, 2, 3, 3], [1, 1, 0, 3, 0, 3, 3, 2], [3, 0, 3, 3, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 2], [3, 0, 1, 2, 3, 0, 3, 3], - [3, 3, 2, 3, 0, 1, 1, 1, 0], [3, 2, 3, 2, 1], [0, 1, 0, 3, 3, 2, 1, 1], [2, 3, 0, 3, 2], [2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 0, 3, 0, 1, 1, 0], [0, 1, 0, 1, 2, 3], 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1], [2, 1, 1, 2, 1, 0, 1, 0], [0, 3, 0, 1, 2, 1, 1, 2], [3, 2, 1, 1, 0, 3, 2, 1], [0, 3, 0, 3, 2, 1, 0, 3], [3, 3, 2, 3, 3, 0, 1, 2], [1, 1, 1, 2, 3, 0, 1, 2, 1], [1, 0, 3, 0, 3, 3, 2, 3, 2], + [2, 3, 0, 1, 0, 1, 0, 3, 2], [3, 3, 2, 1, 1, 2, 1], [1, 1, 0, 1, 0, 3, 3, 2], [1, 2, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 3, 2, 3, 3, 2], [0, 3, 0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 0, 1], + [3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 0, 3, 3], [0, 3, 2, 1, 2, 1, 2, 1], [1, 0, 3, 2, 1, 2, 1, 2, 3], [1, 1, 2, 1, 0], [2, 3, 2, 3, 0, 3, 2, 1, 0], [3, 2, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 2, 3], + [0, 1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0], [0, 3, 3, 0, 1, 1, 1], [0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0, 1], [0, 3, 2, 1, 2, 1, 2, 3, 3], [0, 1, 0, 1, 0, 3, 0, 3], [0, 1, 0, 1, 0, 3, 0, 1, 1], + [3, 0, 3, 2, 3, 2], [1, 0, 3, 3, 2, 1, 2], [0, 1, 0, 3, 3, 0, 3, 3, 0, 3], [1, 0, 3, 2, 3, 3, 2, 1], [1, 1, 0, 3, 3, 0, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 3, 0, 1], + [3, 2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 0, 3, 3, 0, 1, 0, 3], [0, 3, 2, 3, 2, 3, 3, 0, 1], [3, 3, 2, 1, 1, 2, 3, 3], [1, 1, 0, 3, 0, 3, 3, 2], [3, 0, 3, 3, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 2], [3, 0, 1, 2, 3, 0, 3, 3], + [3, 3, 2, 3, 0, 1, 1, 1, 0], [3, 2, 3, 2, 1], [0, 1, 0, 3, 3, 2, 1, 1], [2, 3, 0, 3, 2], [2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 0, 3, 0, 1, 1, 0], [0, 1, 0, 1, 2, 3], [2, 1, 1, 0, 1, 1, 0, 3, 3], + [0, 1, 2, 1, 1, 1, 2, 1], [1, 1, 1, 0, 1, 2, 3, 3], [2, 1, 2, 3, 0, 3, 2, 3], [1, 1, 1, 0, 1, 2, 1], [1, 0, 1, 1, 1, 0, 1, 2], [0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1], [1, 2, 3, 0, 3, 3, 0, 3, 2], + [3, 0, 1, 1, 2, 1, 0, 3, 2, 3], [1, 2, 1, 0, 3, 2, 3, 0, 3], [1, 2, 1, 2, 3, 0, 3, 0, 3, 0], [1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 1, 2, 1, 1, 0, 3, 0, 3, 0], [3, 2, 3, 2, 3, 3], [0, 3, 0, 1, 0, 1, 2], [1, 0, 1, 1, 2, 3, 0], + [1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 1, 0, 3, 2, 3, 3], [0, 3, 3, 0, 1, 1, 2], [0, 1, 0, 1, 0, 3, 3, 0, 1, 2], [1, 1, 1, 2, 1, 1, 1, 2, 3], [3, 3, 2, 1, 1, 0], [1, 0, 3, 0, 3, 0, 1, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0, 3, 3], + [3, 2, 1, 0, 1, 0, 1], [1, 0, 3, 2, 3, 2, 1, 2, 3], [1, 0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 0, 3, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 0, 1], [0, 3, 2, 3, 3, 2, 3], [0, 3, 3, 0, 3, 2], + [2, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 2], [0, 1, 1, 1, 0, 1, 0, 1, 0], [2, 3, 3, 2, 3, 3, 2, 3, 2], [0, 3, 0, 3, 3, 0, 1], [2, 1, 2, 3, 3, 2, 3, 0, 3], [1, 2, 1], + [3, 2, 3, 0], [0, 1, 0, 3, 2, 1, 1, 1], [1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 3, 3, 0, 3, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1], [3, 0, 1, 0, 1, 0, 3, 3], [3, 0, 3, 3, 0, 1, 2, 1, 1, 0], [3, 2, 3, 2, 1, 1, 1, 2], + [3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 1, 2, 1, 1, 0, 3, 0], [3, 0, 1, 2, 3], [1, 2, 1, 1, 1, 0, 3, 2, 3], [1, 1, 2, 1, 0, 1, 1, 2], [0, 3, 2, 1, 2, 1, 0], [3, 0, 1, 0, 3, 3, 0, 3, 3, 0], + [0, 1, 1, 0, 1, 0, 1, 2, 1, 0], [1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 3, 2, 3, 3], [1, 2, 1, 1, 0, 3, 0, 3, 0], [0, 1, 1, 2, 3, 0, 3, 3], [1, 1, 0, 1, 1, 2, 3, 2, 1], [1, 1, 2, 1, 0, 3, 2], [0, 3, 0, 1, 2, 1, 2, 3, 3, 0], + [0, 1, 2, 1, 0, 1, 2, 3, 0], [3, 0, 1, 1, 2, 3, 3], [1, 2, 3, 0, 3, 0, 1, 2, 1], [1, 2, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3, 2], [2, 1, 2, 1, 1], [1, 0, 3, 3, 0, 1, 1, 1, 0, 1], [3, 3, 0, 3, 3, 0, 3, 3], + [0, 1, 0, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 3], [0, 1, 0, 3, 3, 2, 1, 2], [2, 3, 0, 3, 2, 3, 2], [0, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 3, 3, 0, 3], + [0, 3, 0, 1, 0, 1, 0, 3], [0, 3, 0, 3, 2, 1], [2, 3, 3, 2, 3, 3, 0, 3], [3, 2, 1, 1, 1, 2, 3, 0, 1], [1, 1, 0, 1, 1, 0], [1, 0, 1, 2, 1], [1, 1, 1, 0, 1, 2, 1, 2, 3], [1, 2, 3, 2, 1, 1, 0, 1, 0], + [0, 1, 2, 3, 2, 3, 3, 0, 1], [1, 1, 0, 3, 3, 0], [1, 1, 2], [2, 3, 2, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 3, 2, 3], [1, 0, 3, 2, 1, 1, 2, 3, 0, 1], [3, 2, 1, 2, 3, 3, 0, 1], [1, 2, 1, 0, 1, 2, 3], + [3, 3, 0, 3, 0, 1], [2, 3, 3, 0, 1, 0], [2, 3, 0, 3, 0, 3], [1, 1, 1, 2, 3, 0, 3, 3], [0, 3, 0, 3, 3, 2, 1, 2], [3, 2, 1, 0, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 2], [2, 1, 1, 2, 3, 0, 1, 1, 2], + [1, 1, 2, 3, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 0, 1, 2], [1, 1, 0, 1, 0, 3, 3, 0, 3], [3, 0, 1, 2, 1, 2, 1, 0, 1], [3, 2, 3, 2, 3, 3, 2, 3], [3, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 1, 0], + [3, 0, 3, 2, 3, 0, 3], [1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 2, 1, 1, 2, 3, 0, 3], [0, 3, 3, 0, 1, 1, 1, 2, 3], [0, 3, 2, 1, 2, 1, 2, 1, 2, 3], [2, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 1, 1, 1, 2, 1, 2, 3], [0, 1, 1, 1, 2, 3, 3, 0], + [0, 1, 2, 1, 1, 2, 3, 2], [1, 0, 3, 0, 3, 2, 3, 3, 2], [0, 1, 1, 1], [0, 1, 0, 3, 0, 3, 2, 3, 0], [0, 1, 0, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 3, 0, 1, 2, 1, 2], + [2, 3, 3, 0, 3, 0], [3, 2, 3, 3, 2, 3, 2], [2, 1, 1, 0, 1, 0, 1, 2], [0, 3, 2, 1, 0, 3, 2], [2, 3, 0, 1, 2, 1, 0], [2, 1, 2, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 3, 0, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 2, 1], + [1, 2, 1, 2, 3, 2, 3, 2], [3, 0, 1, 0, 1, 1, 0, 1], [3, 3, 2, 3, 0, 1, 1], [3, 2, 3, 2, 1, 2, 3], [1, 2, 3, 3, 2, 3, 2, 1, 1, 1, 0], [3, 2, 1, 1, 1, 0, 3, 3, 2], [2, 1, 2, 1, 0, 1, 2], [2, 1, 0, 1, 1, 0, 1, 0], + [0, 1], [1, 1, 1, 2, 1, 0, 1, 2, 1], [3, 3, 0, 3, 0, 3], [2, 3, 3, 0, 1, 0, 3, 3], [1, 0, 1, 2, 3], [1, 1, 0, 1, 1, 0, 3, 3], [3, 2, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 2, 1, 2, 1, 0], + [0, 1, 1, 2, 1, 0, 3, 0], [0, 1, 0, 1, 0, 3, 2, 1, 1, 2], [0, 1, 1, 2, 1, 1, 0, 1, 0], [1, 1, 2, 3, 3], [2, 1, 2, 1, 2, 1, 2, 3], [1, 2, 1, 2, 1, 1, 1, 0], [3, 2, 3, 2, 3, 0, 3, 2], [3, 0, 1, 0, 1, 1, 0, 3], + [1, 2, 3, 2, 3, 3, 2, 1], [1, 2, 1, 0, 3, 0, 3, 2], [0, 3, 2, 1, 2, 3, 3, 0], [2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 2, 1, 1, 1, 0, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3], [3, 2, 1, 0, 1, 1, 2, 3], [2, 3, 2, 1, 2, 1, 0, 1], + [0, 1, 1, 1, 0, 3, 3, 0, 1], [3, 0, 3, 3, 2, 3, 3, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0], [2, 1, 2, 3, 0, 3, 3, 2], [2, 3, 0, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 0], [3, 0, 3, 0, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 0, 3] ] private def clayworthWitnessData_chunk2 : Array (List (Fin 4)) := #[ - [0, 1, 2, 3, 3, 0, 1, 0, 1], [2, 3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 0, 1, 0, 3, 0], [1, 1, 1, 0, 3, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2, 3, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2], [0, 3, 0, 1, 0, 3, 3, 2, 1, 2], [0, 1, 2, 3, 2, 3, 0, 3, 0], - [0, 1, 0, 3, 2, 3, 2, 1, 0, 3], [3, 2, 1, 1, 2, 1, 1, 1, 2], [2, 1, 0, 3, 3, 2, 1], [0, 3, 0, 3, 2, 3], [0, 1, 1, 0, 3, 2, 3, 0, 1], [2, 1, 1, 2, 3, 2, 1], [1, 0, 3, 0, 3, 0, 3, 0], [2, 1, 2, 3, 3, 2, 1, 0, 3], - [0, 1, 0, 1, 1, 1, 2], [3, 3, 2, 3, 0], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 3, 3, 0, 3, 3, 2, 3], [0, 3, 2, 1, 0, 1, 1, 1, 0, 1], [1, 0, 3, 0, 3, 3, 0, 3], [0, 1, 2, 3, 0, 1, 1, 2, 3], [0, 1, 0, 1, 0, 3, 2, 3, 2], - [1, 2, 3, 3, 0, 3, 3, 2], [1, 1, 0, 1, 2, 1, 1, 2, 1], [3, 0, 1, 1, 1, 0, 1, 1], [3, 2, 1, 1, 0], [1, 2, 3, 3, 0, 1, 2], [2, 1, 0, 3, 0, 3, 3, 2, 1], [1, 1, 1, 2, 3, 0, 1, 1], [2, 3, 0, 3, 0, 1, 1, 1], - [0, 3, 3, 0, 1, 0, 1, 0, 3], [2, 3, 0, 1, 2, 1, 1, 0], [0, 3, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 3], [3, 3, 0, 3, 0, 1, 2, 1, 0], [2, 3, 3, 0, 1, 1, 0], [3, 0, 1, 1, 2, 1, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1, 1], - [1, 0, 3, 3, 2, 1, 1, 1], [3, 0, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 2, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 3, 0], [1, 1, 0, 1, 0], [0, 1, 1, 1, 2, 3, 0], [0, 1, 2, 3, 3, 2, 3, 2, 1], - [1, 1, 0, 1, 1, 1, 0], [1, 0, 1, 2, 1, 2, 1, 0], [2, 1, 0, 1, 2, 3, 3], [1, 2, 3, 2, 3, 0, 1, 1, 2], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1, 1], [2, 1, 1, 0, 3, 2, 3], [3, 0, 3, 0, 3, 2], [1, 2, 1, 0, 3, 3, 0, 1, 1], - [3, 2, 3, 2, 3, 3, 0, 1, 1], [3, 2, 1, 1, 2, 3, 0, 3], [1, 2, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 3], [0, 1, 1, 1, 2, 1, 1, 1, 0], [1, 1, 0, 1, 0, 3, 2, 3, 2], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 3], [2, 1, 1, 2, 3, 3, 0, 1], - [1, 2, 3, 0, 1, 1, 1, 2], [1, 2, 3, 3, 2, 3], [2, 3, 3, 0, 3, 3, 0], [3, 2, 3, 3, 2, 3, 0, 3, 0], [0, 1, 1, 0, 3, 0, 3, 2, 1, 1, 2], [1, 1, 2, 1, 2, 1, 1], [1, 2, 1, 1, 2, 3, 2, 1, 2], [1, 2, 3, 0, 1, 1, 2, 3, 3], - [1, 1, 1, 2, 1, 0, 3, 2], [2, 3, 3, 2], [2, 1, 0, 3, 2, 3, 2, 3], [2, 1, 0, 1, 1, 2], [2, 1, 1, 2, 1, 0, 3, 2, 3], [1, 1, 2, 1, 2, 3, 3, 0, 1, 2], [1, 2, 3, 2, 1, 1, 0, 3, 3, 0], [1, 2, 3, 0, 3, 3, 0, 1], - [1, 0, 1, 1, 0, 1, 1, 2, 1], [3, 2, 3, 3, 0, 1, 2, 1], [1, 0, 1, 2, 3, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 2, 3, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0], [0, 3, 0, 1, 0, 1, 1, 1], [3, 0, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 1, 2], - [0, 1, 0, 1, 2, 3, 0, 1, 1], [0, 1, 1, 2, 1, 1, 1, 2, 1, 2], [2, 3, 2, 3, 0, 3, 0, 3, 0], [1, 1, 0, 3, 0], [2, 3, 0, 1], [2, 1, 2, 3, 2, 3], [0, 1, 1, 1, 2, 1, 0], [0, 1, 0, 3, 0, 3], - [0, 3, 0, 3, 0, 3, 2, 3], [0, 1, 0, 1, 1, 2, 3, 3, 0], [1, 2, 1, 1, 2, 1, 2, 3], [2, 1, 2, 3, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1, 1], [3, 3, 0, 3, 3, 0, 3, 0], [0, 1, 0, 3, 2, 3, 0, 3], [3, 2, 3, 0, 1, 1, 0, 3], - [0, 1, 2, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 2, 1, 2, 1, 0], [0, 3, 3, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 0], [0, 1, 0, 3, 2, 3, 3, 0], - [1, 0, 1, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 2, 3], [0, 3, 2, 3, 2, 3, 0], [2, 1, 1, 2, 3, 3, 2, 1, 1], [3, 0, 1, 2, 1, 2, 3, 2], [1, 2, 1, 1, 1, 0, 3], [0, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 0], - [1, 2, 1, 1, 1, 2, 3, 2], [3, 0, 1, 1, 2, 3, 0], [2, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1], [2, 3, 2, 1, 1], [1, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 0, 1, 1], - [2, 1, 0, 1, 1, 1, 2, 1, 1], [2, 3, 3, 2, 3, 0, 1, 1], [0, 3, 2, 1, 0, 1, 1, 0, 1], [0, 1, 1, 2, 3, 2, 3], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2, 1], [3, 2, 1, 2, 1, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 2, 1], - [0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 3], [1, 0, 1, 1, 0, 3, 3], [0, 1, 2, 1, 0, 1, 0, 1], [1, 0, 1, 0, 3, 2, 3], [0, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 0, 1, 0, 3, 2], [3, 0, 1], - [1, 1, 2, 3, 2, 3, 0, 3, 0], [1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 0, 1, 2, 3], [1, 2, 1, 1, 0], [1, 0, 3, 2, 3, 3, 0, 1, 0], [0, 1, 1, 2, 3, 3, 0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 1, 0], - [1, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 1, 0, 3, 3], [1, 1, 2, 3, 2, 1, 2, 1, 0, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2], - [0, 1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 1, 1], [1, 1, 1, 0], [2, 3, 2, 3, 2], [1, 0, 1, 1, 0, 1, 2], [3, 2, 3, 3], [2, 3, 0, 3, 2, 3, 0, 3], [0, 1, 0, 3, 3, 2, 1, 0, 3], - [0, 1, 2, 3, 3, 0, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2, 3, 3, 0], [2, 3, 2, 1, 0, 3, 3], [1, 1, 2, 1, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 0, 1], - [1, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 1, 1, 2], [3, 2, 3, 2, 1, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2, 1], - [3, 3, 2, 1], [2, 3, 2, 3, 0, 1, 2, 1], [1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 1, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0, 1], - [0, 3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3], [0, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 1, 0], [1, 1, 0, 3, 3, 2, 1, 0], [0, 3, 3, 0, 3, 0, 3], [1, 2, 1, 1, 0, 3, 0, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2, 3], - [0, 3, 3, 2, 1, 0, 3, 2], [2, 1, 1, 2, 3, 2, 3, 2, 1, 2], [0, 1, 2, 3, 3, 2, 3, 3, 2], [0, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 0, 3], [1, 1, 0, 3, 0, 3, 0, 3, 2], [3, 3, 2, 1, 2, 1, 2, 1], [1, 2, 3, 3, 0, 1, 0, 1, 1], - [3, 0, 3, 3, 2], [1, 0, 1, 2, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 3], [2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0, 3, 0], - [0, 1, 1, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 2, 1, 2, 1], [1, 0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0, 1, 2], [0, 3, 0, 3, 2, 1, 0, 1, 0], - [1, 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1], [0, 1, 1, 2, 3, 2, 3], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2, 1], [3, 2, 1, 2, 1, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 2, 1], + [0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 3], [1, 0, 1, 1, 0, 3, 3], [0, 1, 2, 1, 0, 1, 0, 1], [1, 0, 1, 0, 3, 2, 3], [0, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 0, 1, 0, 3, 2], [3, 0, 1], + [1, 1, 2, 3, 2, 3, 0, 3, 0], [1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 0, 1, 2, 3], [1, 2, 1, 1, 0], [1, 0, 3, 2, 3, 3, 0, 1, 0], [0, 1, 1, 2, 3, 3, 0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 1, 0], + [1, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 1, 0, 3, 3], [1, 1, 2, 3, 2, 1, 2, 1, 0, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2], + [0, 1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 1, 1], [1, 1, 1, 0], [2, 3, 2, 3, 2], [1, 0, 1, 1, 0, 1, 2], [3, 2, 3, 3], [2, 3, 0, 3, 2, 3, 0, 3], [0, 1, 0, 3, 3, 2, 1, 0, 3], + [0, 1, 2, 3, 3, 0, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2, 3, 3, 0], [2, 3, 2, 1, 0, 3, 3], [1, 1, 2, 1, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 0, 1], + [1, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 1, 1, 2], [3, 2, 3, 2, 1, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2, 1], + [3, 3, 2, 1], [2, 3, 2, 3, 0, 1, 2, 1], [1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 1, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0, 1], + [0, 3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3], [0, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 1, 0], [1, 1, 0, 3, 3, 2, 1, 0], [0, 3, 3, 0, 3, 0, 3], [1, 2, 1, 1, 0, 3, 0, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2, 3], + [0, 3, 3, 2, 1, 0, 3, 2], [2, 1, 1, 2, 3, 2, 3, 2, 1, 2], [0, 1, 2, 3, 3, 2, 3, 3, 2], [0, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 0, 3], [1, 1, 0, 3, 0, 3, 0, 3, 2], [3, 3, 2, 1, 2, 1, 2, 1], [1, 2, 3, 3, 0, 1, 0, 1, 1], + [3, 0, 3, 3, 2], [1, 0, 1, 2, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 3], [2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0, 3, 0], + [0, 1, 1, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 2, 1, 2, 1], [1, 0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0, 1, 2], [0, 3, 0, 3, 2, 1, 0, 1, 0], + [1, 0, 3, 3, 2, 1, 1, 2], [3, 0, 3, 0], [2, 1, 2, 1, 0, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 2, 1], [1, 2, 1, 0, 3, 3, 0, 1, 2], [3, 0, 3, 0, 3, 2, 3, 2], [3, 2, 1, 0, 3, 2, 1, 1, 2], [3, 0, 3, 2, 1, 0, 1], + [2, 3, 2, 1, 2, 1, 2, 3], [3, 2, 3, 0, 3, 0, 3, 2, 3], [2, 3], [1, 1, 1, 2, 1, 0], [0, 1, 0, 3, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 2, 1], [1, 1, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2, 3, 3, 2], + [1, 1, 0, 1, 2, 3, 3, 2, 3, 3], [1, 1, 0, 3, 2, 1], [1, 1, 2, 1, 1, 2, 1, 1, 0], [0, 1, 1, 1, 2, 3, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3, 2], [1, 2, 1, 1, 2, 3, 2, 1, 1], [2, 3, 3, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 3, 2, 1, 1, 2, 3], + [1, 2, 1, 2, 1, 2, 3, 0], [2, 3, 3, 0, 3, 3, 2, 1], [2, 3, 0, 1, 0, 1], [0, 1, 2, 1, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 2], [0, 3, 3, 2, 1, 2], [1, 1, 2, 1, 1, 1, 0, 3], [2, 1, 1, 2, 1, 2, 3, 3], + [0, 3, 2, 1, 1, 0], [0, 1, 2, 3, 3, 2, 3, 0], [2, 1, 1, 1, 0, 1, 2, 3, 3, 0], [3, 2, 1, 2, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3, 2], [3, 2, 1, 1, 0, 3, 0, 3], [0, 1, 0, 1, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3, 3, 0], + [2, 3, 3, 2, 3, 2], [2, 1, 0, 1, 1, 1], [1, 0, 3, 2, 3, 2, 3, 0], [1, 0, 3, 0, 1, 2, 1, 1], [0, 1, 1, 0, 3, 2, 3, 2, 3], [2, 1, 1, 2, 3, 3], [0, 1, 0, 3, 0, 3, 3, 2], [0, 1, 1, 1, 2, 1, 0, 3, 2], + [3, 2, 3, 3, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 0], [2, 3, 0, 3, 0, 1, 1, 0, 3], [1, 1, 0, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2], [0, 1, 1, 2, 1, 1, 1, 2, 1, 1], [1, 2, 3, 2, 1, 1, 2, 3, 2], [3, 3, 2, 1, 0, 1, 0], + [2, 3, 2, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 3, 0, 1, 2], [1, 1, 0, 1, 2, 1], [1, 0, 1, 1, 2, 3, 2, 1, 2], [2, 1, 1, 2, 1, 1, 1, 2, 3, 2], [2, 3, 0, 1, 2, 1, 1, 2, 1], [1, 2, 3, 0, 3, 3], [1, 2, 3, 3, 2, 3, 0, 1], + [2, 3, 2, 1, 1, 1, 0, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1], [0, 1, 1, 2, 1], [1, 1, 2, 3, 3, 2, 3, 2, 3], [3, 0, 3, 3, 0, 1, 0], [3, 3, 2, 3, 3, 2, 3], [0, 1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3, 2], + [3, 2, 1, 1, 0, 1, 2, 1], [0, 1, 2, 1, 0, 3, 0, 3, 2], [3, 3, 0], [2, 3, 2, 3, 0, 1, 0], [0, 3, 3, 2, 1, 0, 1, 2, 3, 0], [1, 2, 3, 0, 1, 1, 0, 3, 3], [1, 0, 1, 0, 3, 3, 2, 1, 0, 1, 1], [1, 1, 0, 3, 2, 3, 0, 3, 3], + [0, 1, 2, 1, 2], [1, 1, 1, 0, 1, 1, 1, 2, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3, 2], [3, 0, 3, 3, 2, 3, 2], [1, 0, 3, 2, 3, 0, 3, 0], [0, 1, 2, 3, 0, 1, 1, 0, 1], [0, 1, 1, 0, 3, 2, 1, 1, 1, 0], [1, 2, 1, 2, 1, 1, 2, 3], + [3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 1, 0, 3], [0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3, 3], [1, 2, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 2, 1, 1, 2], + [3, 2, 3, 0, 1, 1, 2, 1, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1], [2, 1, 2, 3, 3, 2, 1, 1], [1, 2, 1, 1, 2, 1, 1, 1], [3, 2, 1, 0, 1, 1, 0, 1], [0, 1, 2, 3, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 0, 1, 1], [3, 0, 1, 0, 1, 1, 1], + [0, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 0, 3], [0, 1, 1, 1, 0, 1, 1, 0], [1, 2, 1, 2, 1, 0, 3, 0], [2, 1, 2, 1, 2, 1, 0, 1], [2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 1, 2, 1, 0, 3, 0], [0, 3, 0, 1, 2, 1, 0, 3], + [1, 1, 2, 3, 3, 2, 1, 2], [3, 2, 3, 3, 2, 1, 0], [1, 2, 3, 3, 0, 1, 2, 1, 2, 1], [0, 3, 2, 1, 0, 1, 0], [3, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 2, 3, 0, 3], [1, 1, 1, 0, 3, 2], [1, 0, 1, 0, 1], + [1, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0], [1, 2, 3, 3, 0, 1, 0, 1, 2], [3, 3, 2, 1, 2, 1, 0], [3, 0, 1, 1, 0, 1, 1], [3, 2, 1, 1, 1, 2], [0, 1, 2, 3, 2, 3], [0, 3, 2, 3, 0, 1, 1], + [2, 1, 2, 1, 0, 3, 3], [0, 3, 2, 3, 0, 1, 1, 2, 1], [3], [2, 3, 2, 3, 0, 1, 1], [0, 3, 2, 3, 0, 3, 2, 3, 2], [3, 2, 3, 3, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 0], [0, 1, 2, 3, 0, 1, 2, 3, 3], + [0, 1, 2, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2], [0, 1, 1, 2, 1, 2, 1], [3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 0, 3, 2, 3, 3], [2, 1, 1, 2, 3, 0, 3], [1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 0, 1, 2, 1, 1, 2], + [3, 3, 0, 3, 3, 2, 3, 3, 2], [3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 2, 3, 3, 2, 3], [0, 3, 2, 3, 2, 3, 0, 3, 2], [1, 1, 0, 3, 2, 1, 1, 0, 3], [0, 3, 0, 3, 0, 1, 1, 0, 3, 0], [0, 3, 3, 2, 1, 0, 1, 2], [3, 2, 1, 1, 0, 3, 2, 3], + [1, 1, 1, 0, 1, 1, 0], [2, 3, 2, 3, 2, 1, 1, 0], [1, 0, 1, 0, 1, 2, 1], [1, 1, 1, 0, 3, 0, 1], [0, 1, 2, 1, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 1], [1, 1, 2, 3, 2, 1, 2, 1], [1, 2, 3, 0, 3, 0, 3], + [2, 3, 3, 2, 3, 0, 1, 2], [3, 2, 1, 1, 1, 0, 1], [0, 1, 2, 1, 0, 1], [1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 1, 0, 3, 3, 2, 1, 1, 1], [1, 1, 2, 1, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 0, 1], + [0, 3, 0, 3, 0, 1, 2, 1], [1, 2, 3, 2, 3, 3, 0, 3], [2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 1, 0, 1, 1], [1, 1, 0, 3, 0, 3, 2, 1, 0, 3], [2, 1, 2, 1, 2, 3, 0, 3, 2, 1], [2, 1, 1, 1, 0, 3, 0, 3, 0], [1, 2, 1, 1, 2, 1, 2, 3, 3, 2] ] private def clayworthWitnessData_chunk3 : Array (List (Fin 4)) := #[ - [3, 0, 3, 3, 0, 1, 1], [3, 0, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1], [1, 2, 1, 2, 1, 0], [1, 0, 1, 1, 2, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3], [0, 3, 0, 1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 2, 3, 3, 0, 1], - [1, 2, 1, 1, 0, 3, 2], [1, 0, 3, 2, 1, 1, 0, 1], [1, 1, 1, 2, 1, 1, 2], [2, 3, 2, 1, 2], [1, 0, 1, 0, 1, 1, 0, 3, 0], [1, 1, 1, 2, 3, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 2, 1, 0, 1, 1, 1], - [3, 0, 1, 0, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1, 1, 2, 1, 1], [0, 3, 0, 1, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 1, 0, 1, 2, 3], [1, 0, 1, 0, 3, 3, 2, 1, 0], [1, 1, 0, 3, 2, 3, 0, 1, 1], [0, 1, 0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 3, 0, 1, 1, 0, 1, 1], - [1, 1, 1, 0, 3, 2, 3, 3], [1, 0, 1, 0, 3], [3, 2, 3, 3, 0, 3, 3, 0], [1, 0, 1, 1, 0, 3, 0], [0, 3, 2, 3, 0, 3, 0, 1, 2], [0, 1, 2, 3, 2, 1, 1, 0, 1, 2], [3, 2, 3, 0, 1, 2, 1], [0, 1, 0, 3, 2, 3, 3, 2, 1], - [0, 3, 3, 0, 3, 2, 1, 1, 2], [0, 3, 2, 3, 3, 2, 1, 2], [3, 3, 0, 3, 3], [2, 3, 2, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2], [1, 2, 1, 1, 1, 0, 3, 0, 1], [0, 1, 1, 2, 3], [1, 1, 1, 0, 1, 0, 1, 2, 1], - [1, 2, 1, 1, 1, 2], [3, 0, 1, 1, 2, 3, 2, 1], [0, 3, 0, 3, 0, 3], [0, 3, 0, 1, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 1, 0, 1], [0, 1, 1, 2, 3, 3, 0, 1, 2], [0, 1, 2, 1, 2, 3, 3], [2, 1, 1, 1, 0, 1, 0, 1, 2], - [1, 0, 1, 0, 3, 3, 0, 1, 2], [0, 3, 2, 3, 2, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3, 0], [3, 2, 1, 2, 1, 1, 1], [1, 1, 1, 2, 1, 1, 1, 2, 1, 2], [0, 1, 1, 0, 1, 0, 3, 0], - [0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 3, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 1, 2], [0, 1, 0, 3, 2, 3, 2], [0, 1, 2, 3, 2, 1, 1, 1], [0, 3, 2, 3, 0], [1, 2, 1, 1, 0, 1, 0], [3, 0, 1, 0, 1], - [2, 3, 2, 1, 1, 1, 0], [1, 1, 1, 2, 3, 3, 0], [2, 1, 2, 3, 3, 2], [1, 2, 1, 1, 2, 1], [1, 0, 3, 2, 3, 0, 3, 0, 3, 3], [0, 1, 2, 3, 0, 1, 1, 0, 3], [3, 2, 1, 1, 0, 1, 2, 3], [2, 1, 1, 0, 3, 3, 2], - [3, 0, 1, 1, 0], [3, 2, 1, 1, 1, 2, 3, 3], [0, 1, 2, 1, 1, 2, 1, 0, 3, 3], [1, 0, 3, 0, 1, 1, 1], [1, 1, 2, 3, 2, 3], [3, 3, 2, 1, 0, 3, 3, 0], [2, 1, 0, 3, 2, 3, 3, 2], [2, 1, 1, 1, 0, 1, 1], - [1, 0], [2, 3, 2, 3, 0, 3, 3, 0], [2, 1, 2, 1, 2], [2, 3, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0], [0, 1, 2, 1, 2, 3, 2, 3], [3, 2, 1, 0, 1], [1, 2, 1, 1, 1, 2, 1, 2, 3], - [0, 3, 2, 3, 3, 0, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 0], [1, 1, 0, 3, 3, 2, 3, 0], [1, 1, 2, 1, 1, 1, 2, 1, 0], [1, 1, 2, 3, 2, 1, 1, 2, 1], [0, 1, 2, 1, 1, 1, 0, 3, 2], [2, 3, 3, 0, 1, 2, 3, 0], [1, 1, 1, 0, 1, 0, 3, 2], - [1, 0, 1, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 2, 1, 2, 1], [3, 3, 0, 3, 2, 3], [2, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3], [0, 3, 2, 1, 2, 1, 0, 3, 2], [3, 2, 3, 0, 3, 2], [1, 1, 2, 3, 0, 3], - [0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 2, 1, 0, 1, 1, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 2, 1, 1], [0, 1, 2, 3, 0, 1], [1, 0, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1, 2, 3, 0], - [0, 1, 2, 3, 3, 0, 1, 1, 0], [1, 0, 3, 3, 0, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 1, 1, 0, 1], - [0, 3, 2, 3, 2, 1, 1, 1, 2], [3, 3, 2, 1, 0, 3, 2, 3, 3], [2, 1, 0, 3, 3, 0, 1, 0], [3, 3, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 3], [3, 3, 0, 1, 2, 1], [3, 0, 1, 1, 2, 1, 1, 1, 2], [1, 2, 1, 0, 1, 2, 3, 0, 3, 0], - [1, 2, 3, 0, 3, 0, 1, 0], [1, 2, 1, 2, 3, 2, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 2, 1, 0, 3, 3, 0], [2, 1, 1, 0, 1, 2], [1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 2, 1, 2, 1, 2, 1], - [1, 1, 1, 0, 3, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 2, 3, 0, 1, 2, 3], [3, 3, 2, 3, 3, 0, 1], [1, 1, 1, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 3, 3, 2, 3], - [0, 1, 0, 1, 0, 3, 2], [0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1], [1, 2, 1, 0, 3, 0], [0, 3, 3, 0, 1, 0, 1, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3, 3], 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3, 3, 0, 1, 2, 3, 0], [1, 1, 1, 0, 1, 0, 3, 2], + [1, 0, 1, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 2, 1, 2, 1], [3, 3, 0, 3, 2, 3], [2, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3], [0, 3, 2, 1, 2, 1, 0, 3, 2], [3, 2, 3, 0, 3, 2], [1, 1, 2, 3, 0, 3], + [0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 2, 1, 0, 1, 1, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 2, 1, 1], [0, 1, 2, 3, 0, 1], [1, 0, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1, 2, 3, 0], + [0, 1, 2, 3, 3, 0, 1, 1, 0], [1, 0, 3, 3, 0, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 1, 1, 0, 1], + [0, 3, 2, 3, 2, 1, 1, 1, 2], [3, 3, 2, 1, 0, 3, 2, 3, 3], [2, 1, 0, 3, 3, 0, 1, 0], [3, 3, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 3], [3, 3, 0, 1, 2, 1], [3, 0, 1, 1, 2, 1, 1, 1, 2], [1, 2, 1, 0, 1, 2, 3, 0, 3, 0], + [1, 2, 3, 0, 3, 0, 1, 0], [1, 2, 1, 2, 3, 2, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 2, 1, 0, 3, 3, 0], [2, 1, 1, 0, 1, 2], [1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 2, 1, 2, 1, 2, 1], + [1, 1, 1, 0, 3, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 2, 3, 0, 1, 2, 3], [3, 3, 2, 3, 3, 0, 1], [1, 1, 1, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 3, 3, 2, 3], + [0, 1, 0, 1, 0, 3, 2], [0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1], [1, 2, 1, 0, 3, 0], [0, 3, 3, 0, 1, 0, 1, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3, 3], [1, 2, 1, 0, 1, 1, 0], + [3, 2, 1, 1, 2, 1], [0, 3, 0, 1, 1, 2, 1, 2, 1, 0], [3, 2, 3, 2, 3, 0], [0, 3, 3, 0, 1, 2, 1, 1, 1, 2], [1, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2, 1], [0, 1, 0, 1], [3, 3, 2, 3, 2, 3, 3], + [3, 0, 1, 1, 2, 1, 0, 3], [1, 2, 1, 0, 3, 2, 3, 2], [0, 1, 0, 1, 0, 1, 1, 2], [1, 1, 2, 3, 3, 0, 1], [3, 0, 1, 2, 3, 0, 1, 1, 0], [1, 0, 3, 0, 3, 3, 0, 3, 0, 1], [1, 0, 3, 3, 2, 1, 2, 1, 0], [1, 2, 3, 3, 0, 3], + [2, 1, 2, 3, 0, 3, 0, 1, 2], [0, 3, 0, 1, 0, 3, 3, 2, 3], [2, 3, 3, 2, 1, 2, 1, 1], [3, 2, 3, 2, 1, 1, 0], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0], [2, 1, 1, 2, 1, 0, 3, 0, 3], [0, 3, 2, 3, 2, 1, 0, 3], [2, 1, 1, 1, 2, 3, 2, 3], + [3, 2, 3, 2, 1, 1, 2, 3, 2], [1, 0, 1, 2, 3, 0, 1], [1, 0, 3, 2, 1, 2, 1], [1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 0, 1, 0, 3, 2, 1, 1, 1], [0, 1, 0, 1, 2, 1, 1, 1, 0], [1, 0, 3, 2, 3, 3, 2, 3, 0], [1, 2, 1, 2, 1, 1, 1, 2, 1], + [0, 1, 0, 3, 3], [3, 3, 2, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 0, 3, 3, 2], [2, 1, 1, 0, 3, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 1, 2, 3], [2, 1, 2, 3, 0, 3], + [2, 3, 3, 2, 1, 2, 3], [1, 1, 1, 0, 1, 2, 3, 0], [1, 2, 3, 3, 0, 1, 1], [0, 1, 0, 3, 3, 0, 1, 1, 1, 2], [1, 0, 3, 3, 2, 3, 3, 2, 3], [3, 0, 3, 2, 1, 1, 2, 3], [0, 3, 3, 0, 1, 0], [0, 1, 0, 1, 0, 3, 3, 2], + [1, 2, 1, 0, 1, 1, 2, 1, 2], [1, 1, 0, 3, 0, 3, 3, 2, 1, 0], [2, 1, 1, 0, 3, 0, 3], [1, 1, 2, 1, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 3], [3, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 3, 3, 0, 1, 2], [3, 2, 1, 1, 2, 3, 3], + [2, 3, 0, 1, 0, 1, 0, 3], [2, 1, 0, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 3, 3], [1, 2, 1, 1, 2, 3, 0, 1, 1], [2, 3, 3, 2, 3, 3], [2, 1, 0, 1, 1, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 2, 1, 0, 1, 0], + [3, 0, 1, 1, 1, 0, 3, 2], [1, 2, 1, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 2, 1, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 1], [1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 3, 3, 0, 1], [1, 2, 3, 2, 1, 1, 2, 3, 3], + [1, 0, 1, 2, 1, 1, 2], [0, 1, 1, 0, 1, 1, 0, 1], [0, 3, 3, 0, 1, 1, 1, 0], [0, 3, 2, 1, 1, 2, 3], [1, 2, 3, 0, 1, 1, 2, 1, 1], [1, 2, 1, 2, 1, 2, 3, 2, 3], [0, 1, 0, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 0, 3, 0, 1, 1, 0], + [3, 0, 3, 2, 3], [1, 0, 3, 3, 2, 1], [2, 1, 1, 0, 3, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0], [1, 1, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2, 3], [3, 0, 3, 2, 1, 0, 1, 0, 3], [3, 2, 1, 0, 3, 2, 1], + [3, 0, 3, 0, 3, 3, 2, 1, 1], [0, 1, 0, 3, 0, 3, 0, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1], [1, 1, 0, 1, 2, 3, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 1, 2, 3, 2, 1], [0, 3, 0, 1, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3, 3, 0], + [0, 1, 1, 0, 1, 1, 1, 2, 1], [3, 2, 3, 2, 1, 0], [1, 1, 1, 2, 1, 2, 3], [2, 3, 0, 3], [2, 3, 3, 0, 1, 0, 1, 2], [3, 3, 0, 3, 0, 1, 1, 2], [0, 1, 0, 1, 2, 3, 0], [2, 1, 1, 0, 1, 1, 0, 3, 3, 0], + [3, 2, 1, 2, 1, 0, 1, 1], [1, 1, 1, 0, 1, 2, 3, 3, 0], [0, 1, 1, 1, 2, 1, 0, 3, 3], [0, 1, 0, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 1], [0, 3, 3, 2], [1, 1, 2, 1, 0, 1, 1, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3], + [0, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 2, 3, 3, 2, 1], [1, 1, 0, 1, 1, 1, 2, 1, 0, 3], [1, 2, 3, 3, 2, 1, 1, 1], [0, 1, 2, 1, 1, 0, 3, 0, 3, 2], [3, 2, 3, 2, 3, 3, 0], [0, 3, 0, 1, 0, 1], [1, 0, 1, 1, 2, 3, 2], + [0, 3, 0, 3, 0, 3, 2, 1], [3, 2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 1, 2, 1, 2, 1], [2, 1, 2, 3, 3, 0, 1], [1, 1, 1, 0, 1, 2, 1, 2, 1, 2], [0, 3, 2, 3, 3, 0, 1, 2, 1], [0, 1, 0, 3, 2, 3, 0, 1], [3, 2, 3, 0, 1, 1, 0, 1], + [0, 1, 2, 3, 2, 3, 3, 2, 1, 0], [1, 2, 1, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3, 2], [0, 3, 3, 2, 1, 0, 3, 3], [0, 3, 2, 3, 3, 2, 1, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0], [2, 1, 1, 0, 3, 3, 0, 1], [0, 1, 0, 3, 2, 3, 3, 0, 1, 1], + [1, 0, 1, 0, 3, 0, 3, 0, 1, 1], [3, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 0, 3], [2, 3, 0, 3, 3, 2, 3, 0], [3, 0, 1, 1, 2, 3, 2, 1, 2, 1], [1, 2, 1, 1, 1, 0, 1], [3, 3, 2, 1, 0, 3], [1, 1, 2, 3, 2, 3, 2, 1], + [2, 3, 3, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 2, 1, 0, 1], [1, 0, 3, 0, 3, 0, 1, 0, 3], [2, 3, 2, 3, 3], [1, 1, 1, 2, 3], [2, 3, 0, 1, 2, 1, 2, 1, 2, 3], [1, 1, 0, 3, 0, 3, 0, 3, 3], + [1, 2, 3, 0, 3, 2, 3, 2], [2, 3, 3, 2, 3, 0, 3, 3], [0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 3], [0, 1, 1, 2, 3, 2, 1], [2, 1, 2, 3, 3, 2, 1, 2, 1, 0], [3, 2, 1, 2, 1, 1, 2, 1, 1], [1, 1, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 0, 1, 2, 3, 2, 3], + [0, 1, 2, 3, 3, 2, 1, 1, 1], [0, 3, 2], [1, 0, 1, 1, 0], [3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 2], [0, 1, 1, 2, 1, 2, 3, 2, 3], [3, 2, 1, 1, 0, 3, 3, 2], [3, 0, 1, 1, 1], + [0, 1, 1, 1, 0, 1, 2, 3], [1, 0, 3, 3, 0, 3, 0], [0, 1, 2, 1, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1], [2, 3, 2, 1, 1, 0, 1, 2, 1], [2, 1, 2, 1, 0, 3, 0, 3, 2], [2, 1, 1, 1, 0, 1, 1, 2, 1], [1, 2, 3, 2, 3, 3, 2, 3, 2], + [1, 1, 0, 3, 3, 2, 1, 2, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3], [3, 2, 3, 0, 1, 2, 1, 2, 1], [2, 1, 2, 1, 2, 1, 1, 0], [0, 1, 1, 0, 1, 0], [1, 0, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 1, 0, 3, 3, 2], [1, 0, 3, 0, 1, 1, 1, 2, 1], + [2, 1], [1, 1, 1, 2, 1, 0, 1, 1], [2, 1, 2, 1, 0, 3, 2, 1], [0, 3, 2, 3, 2, 1, 1, 2, 3], [1, 0, 1, 2, 3, 3, 0, 1], [2, 3, 3, 2, 1, 0, 1, 0], [3, 0, 3, 0, 1, 1, 0, 3], [0, 1, 2, 1, 1, 1, 0, 3, 3, 0], + [1, 2, 3, 3, 2, 1, 0, 3, 3], [3, 0, 1, 1, 2, 1, 1, 0], [2, 1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 1, 0, 1], [0, 1, 1, 0, 3, 0, 3, 0], [1, 0, 1, 0, 3, 0, 1, 1, 0], [1, 1, 0, 3, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 0, 1, 1, 2, 1], + [1, 2, 3, 2, 3], [2, 3, 0, 1, 1, 1, 0, 3, 3], [1, 2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 0, 3, 3, 0, 1, 0], [3, 2, 1, 2, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3, 2], [3, 2, 3, 0, 3, 0, 3, 2, 1], [2, 1, 1, 2, 1, 2, 1, 2], + [2, 1, 0, 3, 0, 3, 0, 3], [0, 1, 0, 1, 1, 2, 1, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 3, 0], [3, 2, 1, 2, 1, 2, 3, 2], [3, 2, 3, 0, 3, 3, 0], [1, 2, 3, 0, 1, 2], [3, 0, 3, 0, 1, 1], [1, 0, 3, 3, 2, 1, 1, 2, 1, 1], + [0, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 1, 0, 3, 3, 2], [0, 3, 0, 3, 3, 2, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 0, 3, 2, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3, 3], [1, 1, 1, 0, 1, 0, 3, 3, 0], + [3, 0, 3, 0, 1, 1, 1, 2], [3, 3, 0, 3, 3, 0, 1, 1, 0], [2, 1, 0, 3], [1, 0, 1, 1, 2, 1, 0, 1], [0, 1, 1, 0, 3, 2, 3, 2, 1], [2, 1, 1, 2], [0, 3, 0, 3, 3, 0, 3, 0], [1, 1, 0, 1, 2, 3, 3, 2], + [1, 2, 3, 0], [3, 2, 3, 0, 3, 3, 2, 3], [2, 3, 3, 2, 1, 1, 0, 3, 2], [3, 2, 3, 3, 0, 1, 0, 1, 1], [0, 3, 2, 3, 2, 1, 1, 0], [0, 3, 3, 2, 1, 2, 1, 1], [1, 1, 0, 3, 2, 3, 3, 2], [1, 1, 0, 1, 1, 1, 2, 1, 1, 1], + [3, 0, 1, 2, 1, 1, 1, 0], [1, 1, 0, 1, 2, 1, 1, 1], [3, 0, 1, 1, 1, 0, 1, 0, 1], [3, 2, 1, 1, 0, 3, 0, 1], [0, 1, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 0, 3], [1, 1, 0, 1, 0, 3, 2, 1, 1], [2, 3, 0, 3, 0, 1, 1, 0, 1] ] private def clayworthWitnessData_chunk4 : Array (List (Fin 4)) := #[ - [0, 3, 3, 0, 1, 2, 3, 0, 1], [3, 3, 0, 3, 0, 1, 1, 0, 3], [0, 3, 3, 0, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0, 1], [1, 1, 1, 2, 1, 1, 1, 2, 3, 0], [3, 3, 2, 1, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3], [3, 0, 1, 2, 3, 0, 1, 1, 1], - [3, 0, 3, 2, 3, 2, 3], [1, 0, 3, 3, 2, 1, 2, 3], [3, 3, 0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1], [1, 1, 0, 1, 0, 3, 3, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 1, 0], [0, 3, 2, 3, 3, 2, 3, 0], [0, 3, 3, 0, 3], - [2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 1, 2], [0, 1, 0, 1, 2, 3, 3], [0, 1, 1, 1, 0, 1, 0, 1, 2], [2, 3, 3, 2, 3, 3, 2, 3], [0, 3, 0, 3, 3, 0, 1, 0], [2, 1, 2, 3, 3, 2, 3, 0, 3, 0], [1, 2, 1, 0], - [3, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0], [1, 2, 1, 0, 1, 1, 1], [3, 0, 1, 1, 1, 0, 3, 0, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1, 0], [1, 2, 1, 0, 3, 2, 3, 0, 1], [1, 1, 2, 1, 0, 1, 2, 1, 0, 1], [3, 2, 3, 2, 1, 1, 1], - [1, 0, 3, 3, 2, 3, 3, 2, 3, 2, 1], [1, 2, 1, 0, 3, 2, 3, 0, 3, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2], [3, 0, 1, 2, 3, 0], [1, 2, 1, 1, 1, 0, 3, 2, 3, 0], [1, 1, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 2, 1, 0, 1], - [0, 1, 1, 0, 1, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 2], [0, 3, 2, 3, 2, 3, 3, 0], [1, 2, 1, 1, 0, 3, 0, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3], [2, 1, 1, 0, 3, 0, 3, 2, 1], - [0, 1, 2, 1, 0, 1, 2, 3, 2], [3, 0, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 3, 0, 1, 0, 1], [3, 2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3], [2, 1, 2, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 0, 1, 0, 3], - [0, 1, 0, 1, 2, 1], [2, 1, 1, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 1, 2, 3, 2], [0, 1, 0, 3, 3, 2, 1], [2, 3, 0, 3, 2, 3], [0, 1, 2, 1, 1, 1, 2], [0, 3, 2, 1, 1, 1, 0, 3, 2], - [0, 3, 0, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 0], [1, 1, 1, 0, 1, 2, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 2], - [0, 3, 3, 0, 3, 0, 3, 2, 3], [1, 1, 0, 3, 3, 2], [1, 1], [2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 2, 1], [3, 2, 1, 1, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 0], [1, 2, 1, 0, 1, 2, 3, 0], - [0, 1, 2, 1, 0, 3, 3], [2, 3, 3, 0, 1, 2], [2, 3, 0, 3, 0, 3, 0], [1, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 3, 2, 1], [2, 1, 1, 2, 3, 0, 1, 1], - [1, 1, 2, 3, 0, 3, 2, 1], [3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 3, 2, 3], [0, 3, 0, 3, 0, 1, 2, 3, 3], [3, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 1, 2], - [3, 0, 3, 2, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0, 1, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 1, 2], [0, 3, 2, 3, 2, 1, 1, 1, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1], [3, 0, 3, 0, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 1, 1], [0, 1, 1, 1, 2, 3, 3, 2], - [0, 1, 2, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 3, 3], [0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 3, 2], [0, 1, 0, 1, 2, 3, 2, 3, 0], [2, 1, 0, 3, 3, 0, 1, 1], [2, 3, 0, 1, 2, 1, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2, 1], - [2, 3, 3, 0, 3, 2], [3, 2, 3, 3, 2, 3], [2, 1, 1, 0, 1, 0, 1], [0, 3, 2, 1, 0, 3], [2, 3, 0, 1, 2, 1, 2], [2, 1, 2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 3, 0, 3, 3], [1, 0, 1, 0, 1, 2, 3, 3], - [1, 2, 1, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 1, 1], [3, 3, 2, 3, 0, 1, 1, 0], [3, 3, 2, 1, 2, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 1, 0, 1, 2], - [1, 1, 1, 2, 3, 0, 3], [2, 3, 0, 3, 0], [2, 3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 1], [3, 2, 3, 2, 1, 2], [3, 3, 2, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 1, 1, 1, 0], - [0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1, 1, 2], [3, 3, 0, 3, 0, 1, 1], [2, 3, 3, 0, 1, 0, 1], [3, 2, 1, 0, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 1, 0, 3, 2, 1, 2, 1], - [0, 3, 3, 0, 1, 1, 1, 2], [0, 3, 2, 1, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 3, 3, 2, 1], [0, 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0], [0, 1, 0, 3, 3, 0, 1, 0, 1], [3, 2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3], [2, 1, 2, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 0, 1, 0, 3], + [0, 1, 0, 1, 2, 1], [2, 1, 1, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 1, 2, 3, 2], [0, 1, 0, 3, 3, 2, 1], [2, 3, 0, 3, 2, 3], [0, 1, 2, 1, 1, 1, 2], [0, 3, 2, 1, 1, 1, 0, 3, 2], + [0, 3, 0, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 0], [1, 1, 1, 0, 1, 2, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 2], + [0, 3, 3, 0, 3, 0, 3, 2, 3], [1, 1, 0, 3, 3, 2], [1, 1], [2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 2, 1], [3, 2, 1, 1, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 0], [1, 2, 1, 0, 1, 2, 3, 0], + [0, 1, 2, 1, 0, 3, 3], [2, 3, 3, 0, 1, 2], [2, 3, 0, 3, 0, 3, 0], [1, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 3, 2, 1], [2, 1, 1, 2, 3, 0, 1, 1], + [1, 1, 2, 3, 0, 3, 2, 1], [3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 3, 2, 3], [0, 3, 0, 3, 0, 1, 2, 3, 3], [3, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 1, 2], + [3, 0, 3, 2, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0, 1, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 1, 2], [0, 3, 2, 3, 2, 1, 1, 1, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1], [3, 0, 3, 0, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 1, 1], [0, 1, 1, 1, 2, 3, 3, 2], + [0, 1, 2, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 3, 3], [0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 3, 2], [0, 1, 0, 1, 2, 3, 2, 3, 0], [2, 1, 0, 3, 3, 0, 1, 1], [2, 3, 0, 1, 2, 1, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2, 1], + [2, 3, 3, 0, 3, 2], [3, 2, 3, 3, 2, 3], [2, 1, 1, 0, 1, 0, 1], [0, 3, 2, 1, 0, 3], [2, 3, 0, 1, 2, 1, 2], [2, 1, 2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 3, 0, 3, 3], [1, 0, 1, 0, 1, 2, 3, 3], + [1, 2, 1, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 1, 1], [3, 3, 2, 3, 0, 1, 1, 0], [3, 3, 2, 1, 2, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 1, 0, 1, 2], + [1, 1, 1, 2, 3, 0, 3], [2, 3, 0, 3, 0], [2, 3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 1], [3, 2, 3, 2, 1, 2], [3, 3, 2, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 1, 1, 1, 0], + [0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1, 1, 2], [3, 3, 0, 3, 0, 1, 1], [2, 3, 3, 0, 1, 0, 1], [3, 2, 1, 0, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 1, 0, 3, 2, 1, 2, 1], + [0, 3, 3, 0, 1, 1, 1, 2], [0, 3, 2, 1, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 3, 3, 2, 1], [0, 1, 2, 1, 1, 2, 3, 2, 1], [1, 2, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1, 2, 1, 0], [2, 1, 2, 1, 2, 1, 2, 1, 1], [0, 3, 2, 1, 2, 1, 2, 1, 2], + [1, 2, 1, 0, 3, 3, 2], [3, 0, 1, 1, 1, 0, 3], [0, 3, 2, 1, 2, 1, 2, 3, 3, 2], [3, 3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 1, 1, 2, 3, 3, 0, 1], [0, 1, 2, 1, 1, 1, 2, 1, 2], [3, 2, 1, 2, 3, 3, 0, 1, 1], [1, 2, 1, 0, 1, 2], + [1, 1, 1, 0, 1, 2, 1, 2], [2, 1, 2, 3, 0, 3, 2, 3, 2], [2, 3, 3, 2, 3, 3, 0], [2, 1, 0, 1, 1, 1, 0, 3, 0], [0, 1, 1, 1, 2, 1, 1, 0, 1], [1, 2, 1, 2, 3, 0, 3, 0, 3], [2, 1, 0, 1, 1, 0, 1, 0, 1], [2, 1, 2, 1, 0, 1, 2, 1], + [2, 1, 1, 0, 1, 0, 1, 2, 1], [0, 3, 2, 1, 0, 3, 2, 1], [3, 2, 3, 2, 3, 3, 2], [0, 1, 2, 1, 1, 0, 3, 0, 3], [3, 3, 2, 1, 1, 2, 1, 2], [2, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 0, 1, 2, 3, 0, 3, 3], [0, 1, 2, 1, 0, 3, 2, 3, 0, 3], + [1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 1, 0, 1, 0], [1, 0, 1, 1, 2, 3], [0, 1, 1, 0, 3, 2, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 2, 3, 2], [0, 3, 3, 2, 1, 1, 2, 3, 0, 1], + [1, 1, 0, 3, 3, 0, 1], [0, 1, 2, 3, 2, 3, 3, 0, 1, 1], [1, 1, 2, 3, 0, 3, 2, 1, 2, 1], [3, 2, 3, 0, 3, 0, 1, 2, 1], [1, 0, 3, 3, 2, 1, 0], [3, 0, 3, 2, 3, 0], [0, 3, 3], [1, 0, 1, 1, 1, 0, 1, 0], + [0, 1, 0], [3, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 0, 3, 0, 1], [0, 1, 1, 0, 3, 3, 2, 1, 2], [1, 0, 1, 2, 3, 0], [1, 1, 0, 1, 1, 0, 3, 3, 0], [3, 2, 1, 2, 1, 0, 3, 2, 1], [0, 3, 0, 1, 2, 1, 2, 1, 2], + [0, 1, 1, 2, 1, 0, 3, 2], [0, 1, 0, 1, 0, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 2, 1], [1, 1, 2, 3, 3, 0], [2, 1, 2, 1, 2, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 1, 2], [3, 2, 3, 2, 3, 0, 3], [3, 0, 1, 0, 1, 1, 0, 3, 0], + [0, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 0, 3, 0, 3], [0, 3, 2, 1, 2, 3, 3, 2], [0, 3, 2, 3, 2, 1, 0, 3, 3], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 1, 2, 3, 0, 3, 0], [2, 1, 1, 0, 3, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 3], + [1, 2, 1, 0, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2], [1, 1, 0, 1, 0, 1, 2, 1], [2, 1, 2, 3, 0, 3, 3], [2, 3, 0, 1, 1, 2, 1], [1, 0, 3, 2, 1, 2], [0, 3, 3, 0, 1, 0, 3], [1, 1, 0, 3, 0, 1, 2, 1], + [3, 2, 3, 2, 1, 1, 0, 3], [2, 3, 3, 2, 1, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2], [1, 1, 1, 0, 3, 3, 2], [0, 1, 1, 1, 0, 1, 1, 2, 3, 2], [1, 2, 1, 0, 1, 1, 0, 3], [0, 3, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 3, 2, 3, 0, 3, 2], + [0, 1, 0, 3, 3, 0, 1, 2, 3], [3, 2, 1, 1, 2, 1, 1, 1], [2, 1, 0, 3, 3, 2, 1, 0], [0, 3, 0, 3, 2, 3, 0], [0, 3, 3, 0, 3, 3, 0, 3], [2, 1, 0, 1, 2, 3, 2, 1], [1, 0, 3, 0, 3, 0, 3, 2], [3, 0, 3, 2, 1, 1, 2, 1], + [0, 1, 0, 1, 1, 1], [3, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1, 2, 1], [2, 1, 0, 3, 2, 3, 0, 1], [3, 0, 1, 2, 3, 0, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 1, 0, 3, 2, 3], + [1, 2, 3, 3, 0, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 0, 3], [3, 0, 1, 1, 1, 0, 1, 1, 0], [3, 2, 1, 1, 2], [1, 2, 3, 3, 0, 1], [3, 3, 2, 1, 2, 1, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 1, 1], [2, 1, 0, 1, 2, 3, 2, 3, 3], + [3, 3, 0, 1, 2], [0, 1, 1, 0, 3, 3], [0, 1, 1, 2, 1, 1, 2], [1, 1, 2, 3, 3, 2, 3, 0], [1, 2, 1, 2, 3, 3, 2, 1, 2], [0, 3, 0, 1, 1, 1], [1, 0, 1, 2, 1, 0, 3, 0, 3], [1, 2, 1, 2, 1, 1, 0], + [1, 2, 1, 2, 1, 0, 1, 1, 0, 3], [0, 1, 1, 1, 0, 3, 0, 3], [1, 1, 2, 3, 0, 3, 3], [3, 2, 3, 0, 3, 2, 3], [2, 3, 0, 1, 1, 0, 1, 1, 2, 3], [2, 1, 2, 1, 2, 3], [2, 1, 0, 1, 2, 1, 0, 1], [3, 3, 0, 3, 2, 3, 3], + [0, 3, 0, 1, 1, 0, 1, 1], [1, 2, 1, 2, 3, 2, 3, 3, 0, 3], [1, 0, 1, 0, 1, 1, 2], [1, 1, 1, 0, 3, 2, 1, 2], [2, 3, 2, 1, 0, 1, 0], [1, 1, 1, 2, 1, 1, 0, 1, 0], [1, 0, 3, 0, 3, 2, 1, 2, 1, 0], [1, 1, 2, 1, 2, 3, 3, 2, 3, 2], + [3, 3, 2, 3, 3, 0], [0, 1, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 1, 1, 2, 1, 2, 3, 3], [3, 2, 1, 0], [0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 0], [1, 2, 3, 0, 1, 1, 0, 3, 2], [2, 3, 3, 2, 1, 1, 1, 0, 1], [1, 2, 3, 3, 2, 1, 1, 2, 1, 1], + [0, 3, 0, 1, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2], [0, 3, 2, 1, 2, 1, 1, 1, 0], [0, 1, 2, 1, 1, 1, 0, 3, 2, 3], [1, 1, 2, 3, 2, 1, 1, 2], [0, 3, 2, 1, 2, 1, 0, 3, 2, 3], [2, 1, 1, 0, 3, 2, 1, 1, 0, 1], + [3, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 1], [1, 0, 3], [0, 3, 3, 2, 3, 2, 1, 1], [0, 3, 3, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0], [0, 1, 2, 1, 2, 1, 2], + [0, 1, 2, 3, 0], [1, 0, 1, 1, 1, 2, 1], [1, 0, 3, 3, 0, 1, 1], [1, 0, 1, 2, 3, 2, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 2, 3, 2], [0, 3, 3, 0, 3, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 3, 2, 3], + [0, 1, 0, 3, 0, 1, 1, 0, 1], [3, 0, 3, 3, 2, 1, 1, 1, 0], [3, 2, 1, 1, 0, 1, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0], [1, 0, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 0, 1, 0, 3, 0, 1], [0, 3, 0, 3, 2, 3, 2, 3, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], + [2, 3, 2, 1, 1, 0, 3, 2, 1], [2, 3, 0, 1, 2, 1, 1, 2], [0, 3, 3, 2, 1, 1, 0], [2, 1, 1, 1, 2, 3, 3, 0], [1, 0, 3, 2, 3, 2, 3, 0, 3], [1, 0, 3, 0, 1, 2, 1], [2, 1, 0, 3, 0, 3, 0, 1, 1], [0, 1, 0, 1, 1, 2, 1, 2, 1, 1], + [1, 0, 3, 3, 2, 1, 1, 1, 0], [3, 0, 3, 2, 1, 0], [2, 1, 1, 2, 1, 1, 1], [0, 1, 1, 0, 3, 2, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 3, 2], [1, 1, 0, 1, 2], [0, 1, 1, 1, 2, 3, 2], [0, 1, 0, 3, 0, 3, 2, 3, 3, 2], + [1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 1, 2, 1, 2], [2, 1, 0, 1, 2, 3, 3, 0], [1, 2, 3, 2, 3, 0, 1, 1], [1, 1, 1, 0, 3, 0, 3, 3, 0, 1, 2], [3, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3], [1, 0, 3, 3, 2, 1, 1, 2, 3], + [3, 0, 3, 0, 1, 1, 0, 1, 1], [3, 0, 3, 2, 1, 2, 1, 1, 2], [1, 2, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 1, 0, 3, 2, 3], [3, 2, 3, 0, 3, 0, 3, 2, 3, 3], [2, 1, 1, 2, 3, 3, 0, 1, 0], + [1, 2, 3, 0, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0], [2, 3, 3, 0, 3, 3, 2], [1, 2, 1, 2, 1, 2, 3, 0, 3], [0, 1, 1, 0, 3, 0, 3, 2, 1, 1], [1, 1, 2, 1, 2, 1, 1, 0], [1, 2, 1, 1, 2, 3, 2, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1], + [1, 1, 1, 2, 1, 0, 3], [2, 3, 3], [2, 3, 3, 2, 3, 2, 3], [2, 1, 0, 1, 1], [1, 1, 2, 1, 1, 1, 0, 3, 3], [1, 1, 2, 1, 2, 3, 3, 0, 1], [3, 2, 1, 1, 0, 3, 0, 3, 3], [1, 2, 3, 0, 3, 3, 0, 1, 0], + [0, 1, 1, 1, 2, 1, 0, 3, 2, 3], [0, 1, 0, 3, 0, 3, 3, 2, 3], [3, 2, 3, 3, 0, 1, 0, 3], [1, 0, 1, 1, 0, 1, 1, 0, 3], [0, 3, 0, 3, 2, 1, 2, 1, 2], [0, 3, 0, 1, 0, 1, 1, 1, 0], [2, 3, 0, 1, 1, 1, 0, 1], [1, 2, 3, 2, 1, 1], + [1, 1, 0, 3, 0, 3, 2, 3], [0, 1, 1, 2, 1, 1, 1, 2, 1], [2, 3, 2, 3, 0, 3, 0, 3, 2], [1, 1, 0, 3, 2], [2, 3, 0, 1, 0], [2, 1, 2, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0], + [1, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [0, 1, 1, 0, 1, 1, 0], [2, 1, 0, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1], [2, 1, 0, 1, 1, 1, 0, 3, 3], [1, 2, 3, 0, 1, 1, 2, 1], [0, 1, 1, 1, 0, 3, 0, 3, 3, 2], + [3, 0, 1, 1, 2, 1, 2, 1, 1], [3, 2, 1, 0, 3, 2], [0, 1, 1, 0, 1, 1, 1, 2], [3, 2, 3, 2, 1, 0, 3], [0, 3, 0, 1, 0], [1, 0, 1, 1, 2, 3, 2, 3], [1, 0, 1, 1, 1, 0], [0, 3, 3, 2, 3] ] private def clayworthWitnessData_chunk5 : Array (List (Fin 4)) := #[ - [3, 0, 3, 0, 3, 3, 2, 1], [3, 0, 1, 1, 0, 3, 3, 0, 1], [1, 1, 0, 3, 0, 1, 1, 1], [0, 1, 1, 2, 1, 1, 2, 3, 2], [2, 3, 0, 3, 3], [1, 2, 3, 2, 1, 2, 1], [3, 2, 3, 2, 3, 3, 0, 3], [3, 2, 1, 1, 2, 3, 0, 1, 1], - [1, 0, 1, 0, 1, 1, 1, 0, 1], [2, 3, 3, 0, 1, 0, 1, 2, 3], [1, 0, 3, 3, 2], [3, 0, 3, 2, 3, 3], [1, 2, 3, 0, 3, 3, 0, 3, 3], [2, 3, 2, 1, 1, 0, 3, 0, 1], [2, 3, 2, 3, 3, 2, 1, 0], [1, 1, 0, 1, 2, 3, 2, 1], - [1, 2, 1, 1, 2, 3, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 2, 3, 0, 3, 3, 0], [1, 0, 1, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 0, 1], [1, 1, 1, 0, 1, 2, 3, 3, 0, 3], [1, 2, 1, 2, 1, 1, 0, 3, 2], [0, 1, 1, 2, 1, 1, 1, 0, 1], - [0, 3, 0, 1, 1, 2], [0, 3, 0, 3, 0, 1, 1, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1], [2, 1, 1, 0, 3, 2, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3, 0, 1, 0], - [1, 0, 3, 3, 0, 1, 2], [0, 3, 2, 1, 1, 2, 3, 3], [0, 3, 2, 3, 0, 1, 2, 1, 1, 0], [0, 3, 0, 1, 1, 0, 1, 2], [2, 1, 2, 1, 2, 3, 3, 2], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1, 1], [0, 1, 0, 3, 0, 1, 1], - [2, 1, 1, 2, 1, 1, 2, 1], [3, 2, 1, 0, 3, 3, 0], [1, 1, 2, 1, 2, 3], [1, 1, 2, 1, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 1, 1, 1], [2, 1, 0, 3, 2, 3, 2, 1, 1], [3, 0, 1, 1, 1, 2, 1, 1, 2], [1, 2, 3, 3, 2, 1, 1], - [2, 3, 3, 2, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3, 2, 1], [3, 0, 1, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 3, 0, 3, 3], [0, 1, 2, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 1, 2, 3, 0, 1, 2], - [3, 0, 3, 2, 1, 1, 1, 2], [0, 3, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 1, 2, 1, 1, 1], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2], [0, 1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 0, 3, 2, 3, 2, 1, 0, 3], [2, 3, 2, 1, 1, 1, 0, 3, 3], - [2, 1, 1, 2, 1, 1, 0], [1, 0, 1, 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1, 1], [2, 1, 0, 3, 2, 3, 2, 1, 1], [3, 0, 1, 1, 1, 2, 1, 1, 2], [1, 2, 3, 3, 2, 1, 1], + [2, 3, 3, 2, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3, 2, 1], [3, 0, 1, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 3, 0, 3, 3], [0, 1, 2, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 1, 2, 3, 0, 1, 2], + [3, 0, 3, 2, 1, 1, 1, 2], [0, 3, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 1, 2, 1, 1, 1], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2], [0, 1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 0, 3, 2, 3, 2, 1, 0, 3], [2, 3, 2, 1, 1, 1, 0, 3, 3], + [2, 1, 1, 2, 1, 1, 0], [1, 0, 1, 0, 3, 0, 3, 2, 3], [0, 1, 1, 0, 3, 3, 0, 1], [2, 1, 0, 1, 0], [2, 1, 1, 0, 3, 2, 1, 2], [3, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 1, 0, 3, 0, 3, 3], [3, 2, 3, 2, 1, 0, 3, 3, 2], + [3, 0, 1, 1, 2, 3, 2, 3], [1, 2, 1, 1, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2], [0, 3, 0, 3, 0, 1, 1, 1], [1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1, 2], [3, 0, 3, 0, 3, 2, 1, 1, 2], [1, 1, 2, 3, 2, 1, 1, 1], + [2, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 0, 1, 1, 2, 1, 2, 1, 0], [0, 1, 0, 3, 2, 3, 2, 3, 3], [0, 1, 0, 1, 1, 0, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2], [2, 1, 1, 0, 3, 3, 2, 3, 3], [1, 2, 3, 0, 1, 1, 0], [1, 2, 3, 3, 2, 3, 0, 3, 0], + [1, 1, 1, 0, 3, 2, 1, 1], [1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 2, 3, 2, 3, 0, 3], [2, 1, 0, 3, 2, 3, 2, 1, 2], [1, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 3, 3, 2, 1, 0, 3, 3], [1, 1, 0, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 3, 0, 3], + [3, 3, 2, 3, 3, 2, 1], [1, 2, 3, 3, 2, 1, 2], [3, 0, 3, 0, 3, 3, 0], [3, 0, 1, 1, 0, 3, 3], [2, 1, 1, 1, 0], [0, 3, 3, 2, 3, 3, 2], [1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2], [3, 2, 1, 2, 1], + [1, 2, 1, 1, 2, 3], [1, 1, 0, 1, 0, 1, 1, 2], [0, 3, 0, 1, 1, 1, 0, 1], [2, 3, 2, 1, 1, 0, 3], [1, 1, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 2, 1, 1], [0, 1, 0, 1, 1, 0, 3, 0, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1, 1], + [1, 1, 1, 0, 1, 0, 3, 3, 2], [2, 3, 0, 1, 0, 3, 3, 2, 1], [0, 1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 1, 2, 1, 1, 1, 2, 3], [2, 1, 0, 3, 0, 3, 0, 3, 0], [1, 2, 3, 3, 2, 1, 0, 3], [1, 1, 0, 3, 0, 1, 1, 0, 3], [3, 0, 3, 0, 1, 1, 0, 3, 0], + [1, 1, 2, 1, 1, 1, 0, 1, 1], [2, 1, 1, 2, 1, 2, 1], [2, 3, 0, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3, 3, 2], [1, 1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 0, 3, 2, 3, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 3, 0, 3, 2], + [1, 0, 1, 1, 0, 3, 2, 1, 1, 2], [1, 2, 3, 2, 3, 0], [1, 2, 3, 0, 1], [3, 2, 3, 0, 3, 3, 2], [3, 0, 3, 0, 1, 1, 0], [3, 0, 3, 0, 3, 2, 1, 0, 1, 2], [1, 2, 3, 3, 2, 1, 0, 3, 3, 0], [3, 0, 1, 1, 2, 1, 1, 2], + [1, 0, 1, 2, 3, 3, 0, 1, 0], [2, 3, 3, 2, 1, 0, 1, 2], [3, 2, 1, 2, 1, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 3, 2], [0, 3, 0, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 2, 3, 2, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3], + [0, 3, 0, 3, 3, 0, 3, 2], [1, 1, 0, 1, 2, 3, 3], [2, 1, 1, 2, 1], [1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 0, 3, 3, 2, 3, 0, 3], [1, 2, 3, 0, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 2], [2, 1, 0], + [2, 1, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 0, 1], [3, 0, 3, 0, 1, 1, 1], [3, 0, 1, 1, 0, 3, 3, 2, 3], [2, 1, 1], [0, 3, 3, 2, 3, 3, 0, 3], [0, 1, 2, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 0, 1, 0, 3, 2], + [2, 3, 0, 1, 1, 1, 0, 3], [1, 2, 3, 2], [0, 3, 3, 2, 1, 1, 0, 3, 3], [0, 3, 2, 3, 2, 1, 1, 0, 1], [1, 1, 0, 3, 2, 3, 3], [1, 1, 0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 0, 3], + [3, 2, 1, 1, 0, 3, 0, 1, 1], [0, 1, 1, 2, 3, 0, 1, 1, 2], [3, 2, 1, 0, 1, 0, 3, 0, 1], [0, 1, 2, 3, 3, 0, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 2], [2, 3, 3, 2, 1, 1, 0, 3], [2, 3, 0, 3, 0, 1, 1, 0, 1, 1], + [1, 0, 3, 3, 0, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3], [3, 0, 1, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1], [0, 3, 2, 1, 1, 1, 0, 1], [0, 1, 2, 3], [0, 3, 0, 1, 2, 1, 2], [1, 1, 1, 0, 3, 0, 1, 2, 1], + [3, 0, 3, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 2, 1], [1, 1, 2, 3, 3, 2, 3], [0, 1, 1, 2, 1, 1, 0], [0, 1, 2, 1, 1, 2, 1, 2, 3, 3], [1, 0, 3, 0, 3, 0, 3, 3], [2, 3, 0, 3, 0, 1, 1, 1, 2, 3], [1, 1, 1, 2, 3, 0, 1, 1, 2, 3], + [1, 1, 2, 3, 0, 3, 3, 2], [3, 2, 3, 0, 3, 2, 3, 2], [0, 1, 1, 0, 3, 3, 2], [3, 3, 0, 1, 0], [2, 1, 2, 1, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 2], [2, 1, 0, 1, 2, 1, 0, 1, 2], + [1, 0, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 1, 2, 1, 0, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2, 3, 0], [0, 3, 0, 3, 0, 1, 1, 0], [1, 0, 3, 2], [0, 3, 3, 2, 3, 2, 1, 1, 2], [2, 1, 1, 0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 2, 1, 1, 0], + [1, 2, 1, 1, 0, 3, 0, 1], [0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [3, 3, 2, 1, 2, 1, 2, 3, 3], [1, 2, 3, 3, 0, 1, 0, 3], [0, 1, 2, 1, 1, 2, 1, 1, 2, 1], [1, 0, 3, 0, 3, 2, 1, 2, 1], [0, 3, 2, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 3, 3, 0, 1], + [1, 1, 1, 0, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0], [0, 3, 0, 3, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 3, 2, 1], [0, 3, 3, 0, 3, 0, 1, 1], [0, 3, 2, 3, 3, 2, 3, 2, 1, 1], [1, 2, 1, 2, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 2, 1], + [3, 3, 2, 3, 3], [0, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 1, 1, 2, 1, 0], [3, 0, 1, 1, 0, 1, 1, 1, 0], [2, 1, 1, 1, 0, 3, 0], [0, 3, 3, 2, 3, 3, 2, 3, 0], [2, 3, 2, 3, 0, 1, 1, 2, 1], [3, 2, 1], + [2, 3, 2, 1, 0, 1], [1, 1, 1, 2, 1, 1, 0, 1], [0, 3, 0, 1, 1, 1, 2], [1, 2, 1, 2, 3, 3, 2, 1, 0], [1, 1, 1, 0, 1, 1, 1], [0, 1, 2, 1, 2, 1, 0], [0, 3, 0, 3, 3, 0, 1, 2, 1, 1], [3, 2, 3, 2, 3, 0, 3, 0, 3], + [0, 1, 1, 0, 1, 0, 1], [1, 0, 3, 2, 1, 1, 1, 0], [1, 1, 1, 2], [2, 3, 2, 3], [1, 0, 1, 1, 0, 1], [3, 2, 3, 3, 0], [2, 3, 0, 3, 2, 3, 0, 3, 0], [0, 1, 0, 3, 0, 3, 0, 1, 2, 3], + [0, 1, 0, 3, 2, 3, 0, 1, 1], [3, 2, 3, 0, 1, 1, 0, 1, 1], [0, 1, 1, 2, 1, 2, 3, 2], [1, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 1, 2], [0, 1, 0, 1, 2, 1, 0, 3, 0], [2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 1, 2, 1, 0, 1, 0], + [1, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 3, 0, 1, 1, 0, 3, 0], [0, 1, 2, 3, 3, 0, 3, 2, 1, 0], [0, 1, 1, 1, 2, 3, 3, 2, 1, 2], [0, 1, 1, 1, 0, 1, 1, 2, 1, 0], [0, 1, 1, 2, 3, 2, 1, 1], [3, 2, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 3, 0, 3, 3, 0, 3], + [3, 3, 2, 1, 0], [1, 1, 2, 3, 2, 3, 2, 1, 1], [1, 0, 1, 0, 1, 2, 3, 2], [1, 1, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 1, 0], [1, 0, 3, 0, 3, 2, 3, 2], [1, 2, 1, 2, 3, 0], [1, 2, 3, 0, 3, 0, 1, 1, 1, 2], + [0, 3, 0, 1, 1, 2, 1, 1, 0, 3], [3, 2, 1, 1, 1, 0, 3, 2], [0, 1, 2, 1, 0, 3, 2], [2, 3, 3, 0, 1, 2, 1, 2], [1, 1, 0, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 0, 3, 0], [1, 2, 1, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 3, 0, 3, 2], + [0, 3, 3, 2, 1, 0, 3], [2, 1, 1, 2, 3, 2, 3, 2, 1], [0, 1, 2, 3, 3, 2, 3, 3], [0, 3, 2, 1], [2, 3, 0, 1, 2, 1, 2, 1, 2], [1, 1, 0, 3, 0, 3, 0, 3], [3, 0, 3, 2, 1, 0, 1, 2, 3], [1, 2, 3, 3, 0, 1, 0, 1, 1, 0], + [3, 0, 3, 3], [1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 1, 1, 0, 1, 2], [1, 0, 3, 2, 3, 2, 3, 3], [2, 1, 2, 3, 3, 0, 1, 1], [1, 2, 1, 1, 2, 1, 2, 1, 1], [2, 3, 3, 2, 3, 0, 3], [2, 1, 0, 1, 1, 1, 2, 3], + [0, 1, 1, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 1, 0, 3, 2], [1, 0, 1, 2, 3, 2, 1, 1, 0], [2, 3, 2, 1, 2, 3, 3, 2], [1, 1, 0, 1, 0, 3, 0, 3], [1, 0, 3, 0, 3, 0, 1, 0], [0, 3, 0, 1, 1, 0, 3, 0, 1], [0, 3, 0, 3, 2, 1, 0, 1, 2], + [1, 2, 1, 1, 2, 3, 2], [1, 1, 0, 1, 0, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 0], [2, 1, 0, 3, 0, 3, 0, 1], [0, 1, 0, 1, 1, 2, 1, 2, 1], [0, 1, 1, 1, 2, 3, 0, 1, 1, 0], [3, 0, 3, 0, 1, 1, 0, 1], + [0, 1, 0, 1, 2, 3, 0, 3, 3, 0], [3, 0, 1, 1, 2, 1, 1, 2, 1], [1, 2, 1, 0, 1, 0, 1, 1, 0, 3], [0, 1, 0, 1, 1, 0, 3, 0, 3], [0, 1, 1, 1, 2, 3, 2, 3], [1, 1, 1, 0, 3, 2, 1, 1, 2], [0, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3], + [2, 3, 0, 1, 1, 1, 0], [1, 2, 3, 2, 1], [0, 1, 1, 1, 2, 1, 2, 3], [1, 0, 3, 3, 2, 3, 0], [3, 0, 3, 0, 3, 3], [3, 0, 1, 1, 0, 3, 3, 2], [1, 2, 3, 3, 2, 1, 0], [3, 3, 2, 3, 3, 2, 1, 2], + [2, 3, 0, 1, 0, 3], [2, 1, 2, 3, 2, 3, 0, 3], [1, 2, 1, 2, 1, 2, 3, 0, 3, 3], [1, 1, 0, 3, 0, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 3, 0], [1, 2, 3, 2, 3, 0, 1], [3, 2, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 1, 0, 3, 2, 1], + [1, 1, 0, 3, 2, 3], [1, 1, 0, 1, 2, 3, 3, 2, 1, 1], [1, 1, 2, 1, 2, 3, 3, 0], [1, 1, 2, 1, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 3, 0, 3, 2, 1], [1, 1, 0, 1, 2, 3], [0, 3, 3, 2, 3, 3, 0], [2, 1, 1, 1], + [2, 1, 0, 1], [2, 3, 3, 2, 3, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 1, 2], [2, 3, 2, 1, 1, 0, 3, 2], [2, 1, 1, 2, 1, 1], [3, 0, 1, 2, 1, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 2, 1, 0], [3, 2, 1, 0, 3, 2, 3, 0], + [1, 2, 3, 3, 2, 3, 0, 3], [1, 2, 3, 0, 1, 1], [2, 3, 3, 2, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 2, 3], [1, 0, 1, 2, 1, 2, 1, 2, 3], [1, 1, 0, 1, 1, 1, 2, 3], [2, 1, 0, 3, 2, 3, 2, 1, 0], [0, 3, 3, 2, 1, 1, 0, 3], + [2, 1, 1, 0, 3, 2, 1, 0], [0, 1, 1, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 3, 2, 1, 1, 0], [1, 1, 2, 3, 2, 1, 1, 1, 2], [1, 0, 3, 0, 1, 2], [0, 1, 0, 1, 1, 2, 1, 0, 1, 1], [3, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1, 2], + [3, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 2, 3], [0, 1, 0, 3, 3, 2, 1, 2, 1, 1], [0, 3, 0, 1, 0, 3, 3, 0, 3], [1, 0, 1, 0, 3, 0, 3, 0, 1, 2], [3, 3, 0, 3, 3, 0], [1, 0, 3, 0, 1, 1, 1, 0], [1, 0, 3, 3, 2, 3, 3, 0, 3], + [0, 1, 2, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 3, 3, 0, 1], [0, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 1, 0, 3, 3], [1, 1, 0, 3, 2, 3, 0, 1, 1, 0], [1, 0, 1, 0, 3, 3, 2, 1, 2], [3, 2, 3, 0, 1, 1], [0, 1, 0, 3, 2, 3], + [1, 0, 1, 0, 3, 0], [0, 1, 1, 0, 3, 0, 1, 1, 1], [0, 3, 2, 3, 2], [2, 1, 1, 1, 2, 3, 0, 3], [2, 1, 1, 2, 1, 0, 3, 3], [1, 2, 1, 1, 1, 0, 3, 2, 1], [0, 1, 1, 2, 3, 3, 0, 1], [1, 1, 1, 0, 1, 0, 1, 1], + [1, 2, 1, 1, 1, 2, 3, 0, 1], [3, 0, 1, 1, 2], [2, 1, 2, 3, 3], [1, 2, 1, 1, 2, 1, 0], [2, 3, 2, 1, 1, 2, 1], [1, 1, 1, 2, 1, 1, 1, 2, 1], [3, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 1, 1, 2, 1, 2] ] private def clayworthWitnessData_chunk6 : Array (List (Fin 4)) := #[ - [0, 1, 2, 3, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0], [2, 3, 2, 1, 1, 1, 2], [1, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 2, 1, 0], [0, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3, 3], - [0, 3, 3, 0, 3, 2, 1, 1], [0, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3], [2, 1, 1, 1, 0, 1, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 1, 0, 3, 0, 1], [3, 0, 1, 2, 1], - [1, 1, 2, 3, 2, 3, 0], [3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 1, 1, 1], [2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 1, 1, 1], - [0, 3, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0, 1], [1, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 3, 0, 1, 0, 1, 2, 3], [0, 1, 2, 1, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 0, 1], - [1, 0, 3, 3, 2, 1, 1], [3, 0, 3, 2], [2, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 3], [1, 2, 1, 0, 3, 3, 0, 1], [3, 0, 3, 0, 3, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1], [3, 0, 3, 2, 1, 0, 1, 0], - [2, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 2, 1, 1, 0, 3], [2, 3, 0], [1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 2, 1, 0], [1, 1, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3, 2, 3, 3], - [1, 1, 2, 1, 1, 0, 1, 0, 1, 1], [1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 1, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1], [2, 3, 3, 0, 1, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1, 1], - [1, 2, 1, 2, 1, 2, 3, 2], [2, 3, 3, 0, 3, 3, 2, 1, 0], [2, 3, 0, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 3], [1, 0, 1, 1, 1, 0, 1, 1], [0, 3, 3, 2, 1], [1, 1, 2, 1, 1, 1, 0, 3, 0], [2, 1, 1, 2, 1, 2, 3, 3, 0], - [0, 3, 2, 1, 1, 2], [0, 1, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 3], [3, 2, 3, 2, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 0, 3, 3], - [2, 3, 3, 2, 3], [2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 3, 3], [0, 1, 1, 0, 1, 1, 1, 2, 1, 1], [2, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 1, 2, 1, 0, 3], - [3, 2, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 3], [1, 1, 0, 3, 0, 3], [2, 3, 2, 3, 0, 3, 0, 3, 0, 3], [1, 2, 3, 2, 1, 1, 2, 3], [3, 3, 2, 1, 0, 1, 2], - [2, 3, 2, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 0, 1, 1], [1, 0, 1, 1, 2, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2, 3], [3, 2, 3, 0, 1, 0, 3, 3, 2], [1, 2, 3, 0, 3, 3, 0], [1, 2, 3, 3, 2, 3, 0, 1, 0], - [1, 1, 2, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 1, 1], [0, 1, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2], [3, 3, 2, 3, 3, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3], - [3, 3, 0, 1, 0, 1, 1], [0, 1, 2, 1, 0, 3, 0, 3], [3, 3, 2], [2, 3, 2, 3, 0, 1, 2], [2, 1, 2, 3, 0, 3, 3, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3, 0, 3], - [0, 1, 2, 1], [1, 0, 3, 0, 3, 2, 3, 0, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3], [1, 0, 3, 2, 3, 0, 3, 2], [2, 3, 0, 3, 2, 3, 0, 3, 3], [0, 1, 1, 0, 3, 2, 1, 1, 1, 2], [1, 2, 1, 2, 1, 1, 2, 3, 0], - [0, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0], [0, 3, 0, 3, 0, 1, 0], [2, 1, 1, 0, 1, 1, 2, 3, 3], [0, 1, 1, 0, 1, 0, 1, 2, 3], [1, 0, 3, 2, 1, 1], - [1, 1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3], [2, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 1, 1], [0, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 3, 3, 2], [3, 0, 1, 0, 1, 1, 1, 0], - [0, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2], [1, 2, 1, 2, 1, 0, 3, 2], [2, 1, 2, 1, 2, 1, 0, 1, 0], [2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 0], - [1, 1, 2, 3, 3, 2, 1], [3, 2, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3, 3], [1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 0], - [1, 0, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 0, 1], [3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 1, 2, 3], [3, 2, 1, 1, 1], [0, 1, 2, 3, 2, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0], - [3, 2, 1, 1, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 1], [3, 0, 1, 1, 2, 3, 2, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 2], [1, 0, 3, 2, 1, 1, 2, 1], [3, 2, 3, 0, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1], [0, 1, 2, 3, 0, 1, 1, 0, 1, 1], - [0, 1, 1, 0, 3, 3, 0], [3, 3, 0, 1], [2, 3, 2, 1, 1, 1, 0, 1, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 0, 3, 2, 1, 1, 1, 2, 3], [0, 3, 2, 3, 3, 0, 3, 3], [1, 1, 1, 0, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0], - [1, 1, 0, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 2, 3], [0, 3, 3, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 3], - [1, 2, 1, 2, 1, 1, 2], [1, 0, 1, 2, 1, 0, 3, 0, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 3, 3], [1, 1, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 1], [0, 3, 0, 1, 1, 1, 0], [1, 2, 1, 2, 3, 3, 2, 1], - [0, 3, 2, 3, 0, 1, 1, 1], [0, 1, 2, 3, 2], [1, 0, 3, 0], [0, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 2, 3], [1, 2, 3, 3, 2, 1, 2, 3], [3, 3, 2, 3, 3, 2], - [0, 1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2, 3], [3, 2, 1, 2], [1, 1, 1, 2, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 3, 0, 1, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3], - [2, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 2, 1], [2, 1, 2, 1, 2, 3, 0], [3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0, 3, 0, 3], [1, 2, 3, 0, 1, 1, 0, 3], [1, 1, 2, 3, 2, 1, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0, 1], - [1, 0, 3, 3, 0, 1, 1, 0], [1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 1, 0, 1, 0, 1], [1, 2, 3, 0, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 3, 2, 3, 2], - [0, 3, 3, 0, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 0, 1], [3, 0], [2, 3, 2, 3, 0, 1, 1, 0], [0, 3, 2, 3, 0, 3, 2, 3], [1, 0, 1, 0, 3, 2, 3, 3], [2, 1, 2, 1, 1, 2, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1], - [0, 1, 2, 3, 3, 2], [0, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 0], [3, 3, 2, 1, 0, 1, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 2], [0, 1, 1, 1, 0, 1, 2, 1, 1], - [3, 3, 0, 3, 3, 2, 3, 3], [3, 3, 2, 1, 1, 1, 2], [2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 3, 0, 3], [1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 0, 1], [3, 2, 1, 1, 0, 3, 2, 3, 0], - [1, 1, 1, 0, 1, 1, 2], [2, 3, 2, 3, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 1, 0], [1, 1, 0, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 2, 1, 0], [1, 2, 3, 0, 3, 0, 3, 0], - [2, 3, 3, 2, 3, 0, 1], [2, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 1, 1, 1, 0], [1, 1, 2, 1, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 3, 3], - [0, 3, 0, 3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 3, 3, 2, 3], [0, 1, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 1, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 2, 1, 2, 3, 3], - [3, 0, 3, 3, 0, 1, 1, 0], [3, 2, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 0], [1, 2, 1, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2], [3, 2, 1, 2, 1, 1, 2, 3], - [1, 2, 1, 1, 0, 3], [0, 1, 2, 1, 1, 0, 1, 1], [1, 1, 1, 2, 1, 1], [2, 3, 2, 1], [1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 0, 3], - [1, 2], [2, 3, 2, 3, 0, 3, 3, 2], [2, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 2, 3, 2, 3, 0], [3, 2, 1, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3, 2, 1, 1], - [3, 2, 3, 2, 1, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 0, 3, 3, 0, 3, 3], [0, 1, 2, 1, 1, 1, 0, 3], [2, 3, 2, 3, 2, 1, 0, 3], [1, 1, 1, 0, 1, 0, 3], - [3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3], [0, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 0], [0, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3], [0, 1, 0, 3, 2, 1, 1], - [3, 0, 1, 2, 3, 3], [1, 2, 1, 2, 1, 0, 1, 1, 2], [0, 1, 0, 3, 3, 2, 1, 2, 3], [2, 3, 0, 3, 2, 3, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 0], [2, 1, 0, 3, 2, 1], [1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2], - [0, 1, 2, 3, 3, 0, 1, 1, 2], [1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 1], [0, 3, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 0, 3, 3, 2, 1, 0], [1, 2, 1, 0, 1, 1, 1, 2, 3], - [0, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1, 1], [2, 1, 0, 3, 3, 0, 1, 2], [3, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 0], [3, 3, 0, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 0, 1, 2, 3, 0, 3], - [1, 2, 3, 0, 3, 0, 1, 2], [1, 2, 1, 2, 3, 2, 3, 3, 2], [0, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 0, 1, 2, 1, 2, 3], [2, 1, 1, 0, 1], [2, 3, 3, 2, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 0], - [1, 1, 1, 0, 3, 0, 1, 1, 1, 2], [2, 1, 1, 2, 1, 0, 1], [0, 3, 0, 1, 2, 1, 1, 0], [3, 2, 1, 1, 0, 3, 2, 1, 2], [1, 2, 3, 2, 3, 2, 1], [3, 3, 2, 3, 3, 0, 1, 0], [1, 1, 1, 2, 3, 0, 1, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 1], - [3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3], [1, 2, 1, 2, 1, 1, 0, 3], [0, 1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 1, 1, 2, 1, 0], [0, 1, 1, 1, 0, 3, 0, 3, 3], - [1, 2, 3, 3, 2, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 0, 3, 3, 2], [1, 1, 0, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 0, 1, 2, 1, 1, 2], - [3, 2, 1, 1, 0, 1, 0, 1, 1, 1], [3, 2, 1, 2, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 2], [2, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0, 1], [3, 3, 2, 3, 3, 0, 3], [0, 1, 0, 1, 1, 1, 0, 3, 0, 3], - [0, 3, 2, 1, 2, 1, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 3], [1, 0, 3, 3, 0, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 2, 1, 0], [2, 3, 0, 3, 3, 0], - [1, 2, 3, 3, 2, 1, 1, 0], [3, 0, 1, 1, 1, 2, 1, 1], [2, 3, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 3, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1, 2], - [1, 0, 3, 3], [0, 3, 3, 2, 3, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1], [1, 1, 1, 2, 3, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 2], [0, 1, 2, 3, 0, 3] + [0, 1, 2, 3, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0], [2, 3, 2, 1, 1, 1, 2], [1, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 2, 1, 0], [0, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3, 3], + [0, 3, 3, 0, 3, 2, 1, 1], [0, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3], [2, 1, 1, 1, 0, 1, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 1, 0, 3, 0, 1], [3, 0, 1, 2, 1], + [1, 1, 2, 3, 2, 3, 0], [3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 1, 1, 1], [2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 1, 1, 1], + [0, 3, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0, 1], [1, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 3, 0, 1, 0, 1, 2, 3], [0, 1, 2, 1, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 0, 1], + [1, 0, 3, 3, 2, 1, 1], [3, 0, 3, 2], [2, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 3], [1, 2, 1, 0, 3, 3, 0, 1], [3, 0, 3, 0, 3, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1], [3, 0, 3, 2, 1, 0, 1, 0], + [2, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 2, 1, 1, 0, 3], [2, 3, 0], [1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 2, 1, 0], [1, 1, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3, 2, 3, 3], + [1, 1, 2, 1, 1, 0, 1, 0, 1, 1], [1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 1, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1], [2, 3, 3, 0, 1, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1, 1], + [1, 2, 1, 2, 1, 2, 3, 2], [2, 3, 3, 0, 3, 3, 2, 1, 0], [2, 3, 0, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 3], [1, 0, 1, 1, 1, 0, 1, 1], [0, 3, 3, 2, 1], [1, 1, 2, 1, 1, 1, 0, 3, 0], [2, 1, 1, 2, 1, 2, 3, 3, 0], + [0, 3, 2, 1, 1, 2], [0, 1, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 3], [3, 2, 3, 2, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 0, 3, 3], + [2, 3, 3, 2, 3], [2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 3, 3], [0, 1, 1, 0, 1, 1, 1, 2, 1, 1], [2, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 1, 2, 1, 0, 3], + [3, 2, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 3], [1, 1, 0, 3, 0, 3], [2, 3, 2, 3, 0, 3, 0, 3, 0, 3], [1, 2, 3, 2, 1, 1, 2, 3], [3, 3, 2, 1, 0, 1, 2], + [2, 3, 2, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 0, 1, 1], [1, 0, 1, 1, 2, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2, 3], [3, 2, 3, 0, 1, 0, 3, 3, 2], [1, 2, 3, 0, 3, 3, 0], [1, 2, 3, 3, 2, 3, 0, 1, 0], + [1, 1, 2, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 1, 1], [0, 1, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2], [3, 3, 2, 3, 3, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3], + [3, 3, 0, 1, 0, 1, 1], [0, 1, 2, 1, 0, 3, 0, 3], [3, 3, 2], [2, 3, 2, 3, 0, 1, 2], [2, 1, 2, 3, 0, 3, 3, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3, 0, 3], + [0, 1, 2, 1], [1, 0, 3, 0, 3, 2, 3, 0, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3], [1, 0, 3, 2, 3, 0, 3, 2], [2, 3, 0, 3, 2, 3, 0, 3, 3], [0, 1, 1, 0, 3, 2, 1, 1, 1, 2], [1, 2, 1, 2, 1, 1, 2, 3, 0], + [0, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0], [0, 3, 0, 3, 0, 1, 0], [2, 1, 1, 0, 1, 1, 2, 3, 3], [0, 1, 1, 0, 1, 0, 1, 2, 3], [1, 0, 3, 2, 1, 1], + [1, 1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3], [2, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 1, 1], [0, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 3, 3, 2], [3, 0, 1, 0, 1, 1, 1, 0], + [0, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2], [1, 2, 1, 2, 1, 0, 3, 2], [2, 1, 2, 1, 2, 1, 0, 1, 0], [2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 0], + [1, 1, 2, 3, 3, 2, 1], [3, 2, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3, 3], [1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 0], + [1, 0, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 0, 1], [3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 1, 2, 3], [3, 2, 1, 1, 1], [0, 1, 2, 3, 2, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0], + [3, 2, 1, 1, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 1], [3, 0, 1, 1, 2, 3, 2, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 2], [1, 0, 3, 2, 1, 1, 2, 1], [3, 2, 3, 0, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1], [0, 1, 2, 3, 0, 1, 1, 0, 1, 1], + [0, 1, 1, 0, 3, 3, 0], [3, 3, 0, 1], [2, 3, 2, 1, 1, 1, 0, 1, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 0, 3, 2, 1, 1, 1, 2, 3], [0, 3, 2, 3, 3, 0, 3, 3], [1, 1, 1, 0, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0], + [1, 1, 0, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 2, 3], [0, 3, 3, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 3], + [1, 2, 1, 2, 1, 1, 2], [1, 0, 1, 2, 1, 0, 3, 0, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 3, 3], [1, 1, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 1], [0, 3, 0, 1, 1, 1, 0], [1, 2, 1, 2, 3, 3, 2, 1], + [0, 3, 2, 3, 0, 1, 1, 1], [0, 1, 2, 3, 2], [1, 0, 3, 0], [0, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 2, 3], [1, 2, 3, 3, 2, 1, 2, 3], [3, 3, 2, 3, 3, 2], + [0, 1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2, 3], [3, 2, 1, 2], [1, 1, 1, 2, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 3, 0, 1, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3], + [2, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 2, 1], [2, 1, 2, 1, 2, 3, 0], [3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0, 3, 0, 3], [1, 2, 3, 0, 1, 1, 0, 3], [1, 1, 2, 3, 2, 1, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0, 1], + [1, 0, 3, 3, 0, 1, 1, 0], [1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 1, 0, 1, 0, 1], [1, 2, 3, 0, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 3, 2, 3, 2], + [0, 3, 3, 0, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 0, 1], [3, 0], [2, 3, 2, 3, 0, 1, 1, 0], [0, 3, 2, 3, 0, 3, 2, 3], [1, 0, 1, 0, 3, 2, 3, 3], [2, 1, 2, 1, 1, 2, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1], + [0, 1, 2, 3, 3, 2], [0, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 0], [3, 3, 2, 1, 0, 1, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 2], [0, 1, 1, 1, 0, 1, 2, 1, 1], + [3, 3, 0, 3, 3, 2, 3, 3], [3, 3, 2, 1, 1, 1, 2], [2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 3, 0, 3], [1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 0, 1], [3, 2, 1, 1, 0, 3, 2, 3, 0], + [1, 1, 1, 0, 1, 1, 2], [2, 3, 2, 3, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 1, 0], [1, 1, 0, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 2, 1, 0], [1, 2, 3, 0, 3, 0, 3, 0], + [2, 3, 3, 2, 3, 0, 1], [2, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 1, 1, 1, 0], [1, 1, 2, 1, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 3, 3], + [0, 3, 0, 3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 3, 3, 2, 3], [0, 1, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 1, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 2, 1, 2, 3, 3], + [3, 0, 3, 3, 0, 1, 1, 0], [3, 2, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 0], [1, 2, 1, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2], [3, 2, 1, 2, 1, 1, 2, 3], + [1, 2, 1, 1, 0, 3], [0, 1, 2, 1, 1, 0, 1, 1], [1, 1, 1, 2, 1, 1], [2, 3, 2, 1], [1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 0, 3], + [1, 2], [2, 3, 2, 3, 0, 3, 3, 2], [2, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 2, 3, 2, 3, 0], [3, 2, 1, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3, 2, 1, 1], + [3, 2, 3, 2, 1, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 0, 3, 3, 0, 3, 3], [0, 1, 2, 1, 1, 1, 0, 3], [2, 3, 2, 3, 2, 1, 0, 3], [1, 1, 1, 0, 1, 0, 3], + [3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3], [0, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 0], [0, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3], [0, 1, 0, 3, 2, 1, 1], + [3, 0, 1, 2, 3, 3], [1, 2, 1, 2, 1, 0, 1, 1, 2], [0, 1, 0, 3, 3, 2, 1, 2, 3], [2, 3, 0, 3, 2, 3, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 0], [2, 1, 0, 3, 2, 1], [1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2], + [0, 1, 2, 3, 3, 0, 1, 1, 2], [1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 1], [0, 3, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 0, 3, 3, 2, 1, 0], [1, 2, 1, 0, 1, 1, 1, 2, 3], + [0, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1, 1], [2, 1, 0, 3, 3, 0, 1, 2], [3, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 0], [3, 3, 0, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 0, 1, 2, 3, 0, 3], + [1, 2, 3, 0, 3, 0, 1, 2], [1, 2, 1, 2, 3, 2, 3, 3, 2], [0, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 0, 1, 2, 1, 2, 3], [2, 1, 1, 0, 1], [2, 3, 3, 2, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 0], + [1, 1, 1, 0, 3, 0, 1, 1, 1, 2], [2, 1, 1, 2, 1, 0, 1], [0, 3, 0, 1, 2, 1, 1, 0], [3, 2, 1, 1, 0, 3, 2, 1, 2], [1, 2, 3, 2, 3, 2, 1], [3, 3, 2, 3, 3, 0, 1, 0], [1, 1, 1, 2, 3, 0, 1, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 1], + [3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3], [1, 2, 1, 2, 1, 1, 0, 3], [0, 1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 1, 1, 2, 1, 0], [0, 1, 1, 1, 0, 3, 0, 3, 3], + [1, 2, 3, 3, 2, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 0, 3, 3, 2], [1, 1, 0, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 0, 1, 2, 1, 1, 2], + [3, 2, 1, 1, 0, 1, 0, 1, 1, 1], [3, 2, 1, 2, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 2], [2, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0, 1], [3, 3, 2, 3, 3, 0, 3], [0, 1, 0, 1, 1, 1, 0, 3, 0, 3], + [0, 3, 2, 1, 2, 1, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 3], [1, 0, 3, 3, 0, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 2, 1, 0], [2, 3, 0, 3, 3, 0], + [1, 2, 3, 3, 2, 1, 1, 0], [3, 0, 1, 1, 1, 2, 1, 1], [2, 3, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 3, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1, 2], + [1, 0, 3, 3], [0, 3, 3, 2, 3, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1], [1, 1, 1, 2, 3, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 2], [0, 1, 2, 3, 0, 3] ] private def clayworthWitnessData_chunk7 : Array (List (Fin 4)) := #[ - [1, 0, 3, 3, 0, 1], [3, 0, 3, 2, 3, 3, 2, 1], [2, 1, 1, 2, 3, 2, 3, 0, 1, 2], [0, 1, 0, 1, 2, 3, 0, 3, 0], [0, 1, 0, 3, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 2, 3], [1, 1, 2, 1, 2, 3, 0], - [3, 0, 3, 0, 3, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 1, 2, 3], [2, 1, 2, 1, 2, 3, 3], [2, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 3, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 1], [0, 3, 0, 1, 2], [1, 0, 1, 1, 2, 3, 2, 3, 0], - [1, 2, 1, 2, 3, 2, 3, 2, 1, 1], [0, 1, 2, 1, 0, 1, 1, 0, 3], [0, 1, 1, 0, 3, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3], [1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 3, 2, 1, 0, 1], [1, 2, 1, 0, 1, 2, 1], [0, 3, 2, 3, 3, 2, 1, 0, 1, 0], - [0, 1, 0, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 1, 0, 3], [2, 3, 0, 3, 3, 2, 3, 2], [2, 1, 1, 0, 1, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 3, 2, 3, 0], [0, 1, 2, 1, 1, 2, 3, 2, 1, 1], [1, 1, 2, 1, 2, 3, 2, 3, 2], [1, 1, 2, 1, 1], - [1, 1, 0, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 2], [1, 1, 2, 3, 2, 3, 2, 1, 0], [3, 0, 3, 0, 1, 2, 3], [1, 0, 3, 0, 1, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 0, 3, 3], [3, 0, 1, 1, 1, 0], [3, 2, 1, 1, 0, 3, 3], - [1, 2, 3, 2, 3, 3, 2, 3], [1, 2, 1, 0, 3, 0, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1, 1, 2], [3, 2, 3, 0, 1, 2, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 3, 0, 3], [3, 0, 1, 2, 1, 0, 1, 0], [3, 3, 0, 3, 3, 2, 1, 0], [0, 1, 0, 1, 0, 3, 2, 3, 2, 3, 3], - [0, 1, 0, 1, 2, 3, 2, 1], [0, 3, 3, 2, 1, 1, 2, 3, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2, 1, 2, 1], [1, 1, 0, 3, 0, 3, 2, 1, 2, 3], [3, 2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 2, 1, 0, 3, 2, 3, 0], [2, 1, 2, 3, 3, 0, 1, 0], [0, 3, 3, 2, 1, 2, 1, 2, 3], - [1, 1, 1, 2, 3, 0], [2, 3, 0, 3, 0, 1], [3, 3, 2, 3, 0, 3, 3], [1, 2, 3, 0, 3, 2, 3], [2, 1, 2, 1, 0, 3, 0, 3], [2, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 2, 1, 0, 1, 0, 3], [0, 1, 0, 3, 2, 3, 0, 1, 0], - [3, 2, 1, 0, 1, 1, 1, 2], [0, 3, 0, 3, 0, 3, 2, 1, 0], [2, 1, 0, 3, 3, 2, 3], [1, 0, 1, 1, 2], [1, 2, 1, 1, 1, 0, 1, 0], [0, 1, 1, 0, 3, 2, 1, 2, 1, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1], [0, 3], - [2, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3, 0, 3, 0, 3], [0, 1, 1, 1, 2, 1, 1, 0, 1, 1], [1, 2, 1, 2, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 1, 0], [0, 1, 2, 1, 1, 0, 3, 0], [2, 1, 0, 3, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1], - [0, 1, 0, 1, 0, 3], [0, 3, 3, 0, 1, 2, 1], [0, 3, 3, 0, 3, 3, 2], [0, 3, 2, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 0, 3, 2], [3, 2, 3, 2, 1, 1, 2, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 2, 3, 3], [1, 2, 1, 0, 1, 1, 2], - [3, 2, 1, 1, 2, 1, 0], [2, 1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 0, 1, 0, 1], [0, 3, 3, 0, 1, 2, 1, 1, 1], [2, 1, 2, 1, 1, 0, 3, 2], [1, 0, 1, 1, 2, 3, 0, 1, 2], [0, 1, 0, 1, 0], [0, 3, 3, 0, 1, 2, 1, 1], - [2, 1, 2, 3, 0, 3, 0, 1, 1], [1, 2, 1, 0, 3, 2, 3], [0, 1, 0, 1, 0, 1, 1], [0, 3, 3, 0, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1, 2], [1, 0, 3, 2, 1, 2, 1, 0, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 2], [1, 2, 3, 3, 0, 3, 0], - [2, 1, 2, 3, 0, 3, 0, 1], [1, 2, 1, 0, 3, 2, 3, 3], [1, 1, 2, 1, 0, 1, 2, 1], [3, 2, 3, 2, 1, 1, 2], [1, 1, 0, 1, 0, 1, 2, 3, 0, 3], [1, 0, 3, 2, 1, 2, 1, 0, 3], [0, 3, 3, 0, 1, 2, 3], [0, 1, 0, 1, 0, 1, 1, 1], - [3, 2, 3, 2, 1, 1, 2, 3], [1, 1, 2, 1, 0, 1, 2], [1, 0, 3, 2, 1, 2, 1, 0], [1, 1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 2], [1, 2, 1, 0, 1, 1, 2, 3], [1, 0, 3, 2, 3, 3, 2, 3, 2], [1, 0, 1, 1, 2, 3, 0, 1, 2, 1], - [0, 1, 0, 3, 3, 0], [3, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 1, 2, 3, 2, 3], [0, 1, 0, 3, 3, 0, 3, 3], [0, 3, 3, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 2, 3, 2], [2, 3, 0, 1, 1, 2, 3, 0], [2, 1, 2, 3, 0, 3, 0], - [0, 1, 0, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 3, 2], [1, 2, 3, 3, 0, 1, 1, 0], [0, 1, 0, 3, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 3, 2, 1], [3, 0, 3, 2, 1, 1, 2, 3, 0], [0, 3, 3, 0, 1, 2], [0, 1, 0, 1, 0, 3, 3], - [1, 2, 1, 0, 1, 1, 2, 1], [1, 0, 3, 3, 2, 1, 2, 1, 2, 3], [2, 1, 1, 0, 3, 0, 3, 0], [1, 1, 2, 1, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 1, 0, 3], [0, 1, 0, 3, 3, 0, 1, 1], [0, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 3, 0], - [1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 2, 1, 1], [2, 1, 0, 3, 2, 3, 0], [2, 1, 0, 1, 1, 2, 1, 2], [0, 1, 0, 3, 3, 0, 1, 2, 3, 3], [3, 2, 1, 1, 2, 1, 1], [0, 3, 0, 3, 2, 3, 0, 3], [3, 2, 3, 2, 1, 1, 0, 1], - [1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3], [1, 1, 0, 3, 0, 1, 2], [0, 3, 3, 0, 1, 0, 3, 3], [1, 2, 1, 0, 3, 0, 3, 3], [0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 0, 3, 2, 3, 3], [0, 1, 0, 1, 2, 1, 1, 1, 0, 1], - [1, 1, 2, 3, 3, 0, 1, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1], [2, 3, 3, 2, 1, 2], [1, 1, 1, 0, 1, 2, 3, 0, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3], [1, 2, 1, 0, 1, 1, 0, 1], [1, 0, 3, 3, 2, 1, 2, 1, 0, 1], [1, 2, 3, 3, 0], - [3, 3, 2, 3, 2, 1, 1], [0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 2, 1, 2, 3, 0, 3, 0, 3], [0, 1, 0, 1, 1], [3, 3, 2, 3, 2, 3], [0, 3, 0, 1, 2, 1, 2, 1, 2, 3], [3, 2, 1, 2, 1, 0, 3, 2], - [3, 0, 3, 0, 3, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 2, 1, 2], [3, 0, 1, 2, 1, 1, 0], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 1, 2, 1, 0, 3, 0], [1, 1, 1, 0, 3, 3, 2, 3], [1, 0, 1, 0, 1, 0, 3, 2, 3], - [0, 3, 3, 0, 3, 3, 0, 3, 3], [2, 1, 0, 1, 2, 3, 2], [0, 3, 2, 3, 2, 1, 0], [2, 1, 1, 1, 2, 3, 2], [0, 1, 0, 1, 0, 3, 2, 1], [0, 1, 1, 2, 1, 0, 3, 2, 3], [1, 2, 3, 0, 1, 1, 2, 3, 2], [1, 2, 3, 3, 0, 1, 1, 1], - [1, 2, 1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 1, 2, 1, 0], [3, 0, 3, 2, 1, 1, 2], [1, 0, 3, 3, 2, 3, 3, 2], [2, 3, 0, 1, 1, 2], [2, 1, 2, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1, 1], [0, 3, 3, 0, 3, 3, 0, 1], - [1, 1, 2, 1, 0, 3, 3, 0, 1], [2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 0, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1, 2], [0, 1, 2, 3, 2, 3, 0, 3, 2, 3], [0, 3, 0, 1, 0, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 2, 1], [3, 2, 1, 1, 2, 3], - [2, 1, 0, 3, 3, 2, 1, 1, 2], [0, 3, 0, 3, 0], [2, 1, 1, 1, 0, 1, 1, 1], [2, 1, 2, 1, 2, 1, 0], [3, 2, 3, 0, 1, 1, 2, 1], [0, 1, 0, 3, 2, 3, 2, 1], [0, 3, 2, 3, 3, 0, 1, 1], [0, 1, 2, 3, 3, 2, 1, 0, 1, 1], - [3, 2, 1, 0, 1, 1, 0], [1, 2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 3, 2, 1, 1, 2], [3, 0, 1, 2, 1, 2, 1], [0, 3, 3, 0, 3, 2, 1, 1, 2, 1], [1, 0, 3, 2, 1, 1, 2, 3], [0, 1, 2, 3, 0, 1, 1, 0], [1, 0, 3, 2, 3, 0, 3, 0, 3], - [1, 2, 1, 2, 3, 3, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 3], [3, 0, 1, 0, 1, 1], [1, 2, 1, 1, 0, 1, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 2], [1, 0, 1, 0, 3, 3, 2, 1, 0, 1], [1, 1, 2, 3, 2], [3, 2, 3, 0, 3, 2, 1, 0], - [0, 1, 1, 1, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 1, 0, 3, 0, 1], [0, 1, 2, 1, 2, 3], [1, 1, 1, 0, 1, 1, 1, 2, 3, 3], [3, 3, 2, 3, 0, 1, 2], [2, 3, 2, 1, 1, 1, 0, 1], [3, 0, 1, 0, 3, 3, 2, 1, 1, 0], [1, 2, 3, 0, 1, 1, 0, 1, 1, 1], - [1, 0, 3, 3, 0, 3, 3, 0], [3, 3, 2, 3, 3, 2, 3, 3], [1, 0, 1, 0], [1, 1, 1, 0, 3, 2, 3], [3, 2, 1, 1, 0, 1, 2], [2, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 1, 0, 3, 0, 1], [1, 1, 1, 0, 3, 3, 0, 1, 2], - [0, 3, 2, 3, 0, 1], [0, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 0, 3], [1, 2, 3, 3, 0, 1, 2, 1, 2], [3, 3, 0, 1, 2, 1, 1, 0], [0, 1, 1, 2], [3, 2, 1, 2, 3, 3], [1, 2, 1, 0, 1, 2, 3, 3, 2], - [3, 0, 1, 1, 0, 1], [3, 2, 1, 1, 1, 2, 3], [0, 3, 0, 1, 1, 0, 3, 3, 0], [2, 3, 0, 3, 0, 3, 3, 2], [2, 3, 2, 3, 0, 1, 0, 3], [3, 3, 0, 3], [1, 2, 1, 1, 2, 1, 1], [2, 1, 2, 3, 3, 2, 1], - [0, 3, 0, 1, 2, 1, 1, 1, 0], [1, 0, 3, 2, 1, 0, 1, 2], [1, 0, 3, 3, 2, 1, 0, 3, 3, 2], [3, 0, 3, 2, 3, 0, 3, 3, 2], [1, 1, 2, 3, 3, 2, 1, 2, 3], [3, 2, 3, 3, 2, 1, 0, 3], [1, 0, 3, 0, 3, 3], [0, 1, 2, 1, 1, 2, 1, 0, 3], - [0, 3, 2, 3, 2, 3, 3, 0, 3], [3, 3, 2, 1, 1, 2, 1, 1], [1, 1, 0, 1, 0, 3, 3, 2, 1], [1, 0, 3, 2, 1, 2, 1, 0, 3, 0], [1, 0, 3, 2, 3, 3, 2, 3], [0, 3, 0, 3, 3, 0, 1, 0, 1, 1], [3, 0, 1, 1, 1, 0, 3, 0, 3, 3], [1, 2, 1, 0, 1, 1], - [3, 0, 1, 1, 1, 0, 3, 0, 1], [1, 2, 1, 0, 3], [0, 3, 2, 1, 2, 1, 2, 1, 1], [1, 0, 3, 2, 1, 2, 1, 2], [1, 1, 2, 1, 0, 1], [3, 2, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 3, 0, 1, 1, 2], - [0, 1, 0, 1, 2, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1], [0, 3, 3, 0, 3, 3], [0, 3, 2, 1, 1, 2, 3, 2, 1], [0, 3, 3, 0, 3, 3, 2, 1, 0], [0, 3, 2, 1, 2, 1, 2, 3], [0, 1, 0, 1, 0, 3, 0], [0, 3, 3, 0, 1, 2, 1, 0], - [1, 2, 3, 3, 0, 3, 2], [1, 0, 3, 3, 2, 1, 2, 1], [0, 1, 0, 3, 3, 0, 3, 3, 0], [1, 0, 3, 2, 3, 3, 2, 1, 1], [0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1], - [3, 2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 2, 3, 2], [3, 3, 2, 1, 1, 2, 3], [1, 1, 0, 3, 0, 3, 3, 2, 1], [3, 0, 3, 3, 2, 1, 2, 3], [0, 3, 0, 1, 1, 2, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3], - [1, 1, 2, 1, 0, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1], [2, 3, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 3, 3, 0, 1, 2, 3, 0], [0, 1, 0, 1, 2], [2, 1, 1, 0, 1, 1, 0, 3], - [0, 1, 0, 3, 3, 0, 3, 0], [1, 1, 1, 0, 1, 2, 3], [2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 2, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 1], [1, 1, 2, 1, 0, 3, 3], [2, 1, 1, 0, 3, 0, 3, 2], - [3, 0, 1, 1, 2, 1, 0, 3, 2], [1, 2, 1, 0, 3, 2, 3, 0], [1, 0, 3, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0, 3], [3, 2, 3, 2, 3], [2, 1, 2, 1, 1, 0, 3], [1, 0, 1, 1, 2, 3, 0, 1], - [1, 0, 1, 0, 3, 2], [0, 3, 2, 3, 0, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 1, 2], [2, 1, 1, 1, 0, 1, 0, 1, 0], [0, 1, 2, 1, 2, 3, 3, 2], [3, 0, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 1, 1, 0], - [0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 3, 2, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 1, 1, 1, 0, 1, 0, 1], [1, 2, 1, 1, 2, 1, 2], [2, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 1], [1, 1, 1, 2, 3, 3], - [1, 0, 3, 2, 3, 2, 1, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3], [3, 3, 0, 3, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1], [3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1, 1], [3, 3, 2, 1, 0, 3, 3], [1, 1, 2, 3, 2, 3, 2], - [0, 1, 1, 0, 1, 0, 3], [1, 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2, 3, 3, 0, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1], + [3, 2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 2, 3, 2], [3, 3, 2, 1, 1, 2, 3], [1, 1, 0, 3, 0, 3, 3, 2, 1], [3, 0, 3, 3, 2, 1, 2, 3], [0, 3, 0, 1, 1, 2, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3], + [1, 1, 2, 1, 0, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1], [2, 3, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 3, 3, 0, 1, 2, 3, 0], [0, 1, 0, 1, 2], [2, 1, 1, 0, 1, 1, 0, 3], + [0, 1, 0, 3, 3, 0, 3, 0], [1, 1, 1, 0, 1, 2, 3], [2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 2, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 1], [1, 1, 2, 1, 0, 3, 3], [2, 1, 1, 0, 3, 0, 3, 2], + [3, 0, 1, 1, 2, 1, 0, 3, 2], [1, 2, 1, 0, 3, 2, 3, 0], [1, 0, 3, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0, 3], [3, 2, 3, 2, 3], [2, 1, 2, 1, 1, 0, 3], [1, 0, 1, 1, 2, 3, 0, 1], + [1, 0, 1, 0, 3, 2], [0, 3, 2, 3, 0, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 1, 2], [2, 1, 1, 1, 0, 1, 0, 1, 0], [0, 1, 2, 1, 2, 3, 3, 2], [3, 0, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 1, 1, 0], + [0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 3, 2, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 1, 1, 1, 0, 1, 0, 1], [1, 2, 1, 1, 2, 1, 2], [2, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 1], [1, 1, 1, 2, 3, 3], + [1, 0, 3, 2, 3, 2, 1, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3], [3, 3, 0, 3, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1], [3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1, 1], [3, 3, 2, 1, 0, 3, 3], [1, 1, 2, 3, 2, 3, 2], + [0, 1, 1, 0, 1, 0, 3], [1, 0, 3, 2, 1, 1, 1, 0, 3, 3], [0, 1, 0, 3, 2, 3, 0], [3, 2, 3, 0, 1, 1, 0], [1, 1, 2, 3, 2, 3, 3, 0, 1, 0], [3, 2, 1, 2, 1, 1, 2, 1], [1, 0, 1, 1, 0, 3], [3, 2, 3, 3, 0, 3, 3], + [1, 0, 3, 0, 1, 1, 2, 1], [3, 2, 3, 0, 1, 2, 1, 2], [3, 2, 1, 0, 1, 1, 1, 0, 3], [0, 3, 0, 3, 0, 3, 2], [2, 1, 1, 0, 3, 3, 0], [0, 1, 0, 3, 2, 3, 3, 0, 1], [1, 1, 0, 3, 0, 3, 0, 1, 1, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 1], + [3, 0, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 1, 2, 3, 2, 1], [2, 1, 0, 1, 2, 3, 0, 3, 0], [0, 1, 1, 2, 3, 2, 3, 0, 1, 2], [0, 1, 1, 2, 3, 2], [0, 3, 2, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 1, 0, 1, 2], [0, 1, 1, 2, 3, 3, 0, 1, 0], + [0, 3, 2, 3, 2, 3, 0, 1], [1, 0, 1, 0, 3, 3, 0, 1, 0], [3, 0, 1, 1], [3, 2, 1, 1, 0, 3, 3, 2, 3], [1, 2, 1, 1, 0, 1], [3, 0, 1, 0, 1, 2], [0, 3, 0, 1, 1, 0, 3, 0, 3], [0, 3, 2, 3, 3, 2, 1, 0], + [1, 2, 3, 0, 3, 2, 3, 2, 3], [0, 3, 2, 3, 0, 3, 0, 1, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [1, 2, 1, 2, 1, 2, 1, 1], [0, 3, 2, 3], [0, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2, 1], [1, 0, 3, 0, 1, 1, 1, 2] ] private def clayworthWitnessData_chunk8 : Array (List (Fin 4)) := #[ - [0, 3, 3, 2, 1, 0, 3, 2, 1], [1, 0, 1, 1, 0, 3, 2, 3, 3, 2], [0, 3, 3, 0, 1, 1, 0], [1, 1, 2, 3, 3, 2, 1, 1, 1], [2, 3, 2, 3, 0, 1, 2, 1, 1], [3, 3, 2, 1, 1], [1, 0, 3, 0, 3, 0, 1, 1], [0, 1, 2, 1, 1, 2, 1, 2, 1, 1], - [3, 0, 3, 2, 3, 2, 3, 0], [1, 0, 3, 0, 3, 2, 1, 2, 3], [3, 3, 0, 1, 0, 3, 3], [0, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 2, 3, 2, 3, 3, 0, 3], [0, 3, 2, 1, 0, 1, 1, 2, 3], [0, 3, 2, 3, 3, 2, 3, 2], [0, 3, 3, 0, 3, 0], - [2, 3, 2, 3, 2, 1], [1, 1, 1, 0, 1], [0, 1, 0, 1, 2, 3, 3, 0], [0, 1, 1, 1, 0, 1, 0, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0], [0, 3, 0, 3, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 1, 2, 3], [1, 2, 1, 2], - [3, 2, 3], [1, 0, 1, 1, 0, 1, 2, 1], [1, 2, 1, 0, 1, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 3, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 1, 0, 3, 3, 2], [3, 0, 3, 3, 0, 1, 2, 1, 1], [3, 2, 3, 2, 1, 1, 1, 0], - [1, 2, 3, 3, 0, 1, 0, 1, 1, 1], [3, 3, 2, 1, 2, 1, 2, 1, 1], [1, 1, 1, 2, 1, 1, 0, 3], [2, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0, 1], [0, 1, 1, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1], [3, 0, 1, 0, 3, 3, 0, 3, 3], - [0, 1, 1, 0, 1, 0, 1, 2, 1], [1, 0, 3, 2, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2], [1, 2, 1, 1, 0, 3, 0, 3], [0, 1, 1, 2, 3, 0, 3, 3, 2], [1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 1, 2, 1, 0, 3, 0], [0, 3, 0, 1, 2, 1, 2, 3, 3], - [0, 1, 2, 1, 0, 1, 2, 3], [3, 0, 1, 1, 2, 3, 3, 2], [1, 2, 3, 0, 3, 0, 3, 2, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1, 1], [0, 3, 0, 1, 0, 1, 2, 3, 0], [2, 1, 2, 1, 1, 2], [1, 1, 1, 0, 3, 2, 1, 0, 3, 3], [1, 0, 1, 0, 1, 1, 0, 3, 3], - [0, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 1, 1, 2], [3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 2, 3], [0, 1, 0, 3, 3, 2, 1, 0], [2, 3, 0, 3, 2, 3, 0], [0, 1, 2, 1, 1, 1], [0, 3, 2, 1, 1, 1, 0, 3], - [0, 1, 2], [0, 3, 2, 1, 1, 1, 0, 1, 1], [3, 3, 0, 1, 0, 1], [0, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 2, 3, 2], [1, 0, 3, 3, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 0, 1, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 1], - [0, 1, 1, 2, 1, 0, 3], [0, 1, 0, 1, 0, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 3, 3, 2], [2, 1, 2, 1, 2, 1, 2, 3, 2], [1, 2, 1, 2, 1, 1, 1], [3, 2, 3, 2, 3, 0, 3, 0], [3, 0, 1, 0, 1, 1, 0, 3, 2], - [0, 3, 3, 0, 1, 0, 1, 1, 0], [2, 3, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 3, 3], [3, 0, 1, 0, 3, 3, 0, 1], [1, 1, 0, 3, 3, 2, 1, 0, 3, 3], [0, 1, 2, 1, 2, 3, 0, 3, 2], [2, 1, 1, 0, 3, 0, 3, 3, 0], [2, 3, 2, 1, 2, 1, 0, 1, 2], - [0, 1, 1, 1, 0, 3, 3, 0, 1, 2], [3, 0, 3, 3, 2, 3, 3], [1, 0, 1, 0, 1, 1, 0, 1], [2, 1, 2, 3, 0, 3, 3, 0], [2, 3, 0, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1], [0, 3, 0, 3, 0, 1, 0, 3], [1, 1, 0, 3, 0, 1, 2, 1, 0], - [1, 0, 3, 2, 3, 0, 3, 2, 3], [2, 3, 3, 2, 1, 2, 1, 0], [1, 0, 1, 0, 1, 0, 3], [1, 1, 1, 0, 3, 3], [0, 1, 1, 1, 0, 1, 1, 2, 3], [1, 2, 1, 0, 1, 1, 0, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 2, 3, 0, 3], - [0, 3, 0, 3, 0, 1, 1, 0, 1], [3, 2, 1, 1, 2, 1, 1, 1, 0], [2, 1, 0, 3, 3, 2, 1, 2], [0, 3, 0, 3, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 2, 1, 0, 1, 2, 3], [1, 0, 3, 0, 3, 0, 3], [0, 1, 2, 1, 1, 2, 1, 2, 3], - [0, 1, 0, 1, 1, 1, 0], [3, 3, 2, 3], [2, 1, 0, 1, 1, 2, 1, 2, 1, 0], [1, 2, 1, 1, 0, 3, 0, 1, 1], [0, 3, 3, 2, 3, 3, 2, 3, 0, 1], [2, 1, 1, 1, 0, 3, 0, 1], [0, 3, 0, 1, 1, 1, 2, 1], [0, 1, 0, 1, 0, 3, 2, 3, 0], - [1, 2, 3, 3, 0, 3, 3, 0], [1, 1, 2, 3, 0, 3, 3, 2, 1], [1, 0, 1, 1, 0, 1, 2, 3, 3], [3, 2, 1, 1], [1, 2, 3, 3, 0, 1, 0], [3, 3, 2, 1, 2, 1, 2, 3], [1, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 0, 3, 0, 1, 1, 1, 2], - [0, 1, 1, 1, 2, 3, 3, 2, 1], [0, 1, 2, 3, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 2, 3, 3], [3, 2, 3, 0, 3, 0, 1, 1], [1, 2, 3, 2, 1, 1, 0, 1, 2, 1], [3, 3, 2, 1, 2, 1, 2, 1, 2], - [0, 1, 1, 0, 3, 2, 1, 1], [0, 1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 2, 3, 3, 2, 1, 1, 2], [0, 3, 3, 0, 1, 1, 0, 3, 2], [0, 1, 1, 2, 3, 2, 1, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1, 2], [3, 0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 1, 2, 1, 1], - [2, 3, 3, 0, 1, 2, 1], [0, 1, 2, 1, 0, 3], [3, 0, 3, 0, 3, 0, 1, 2, 1], [0, 3, 0, 3, 0, 1, 2, 3], [0, 1, 1, 1, 2, 1, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 2], [1, 1, 0, 3, 3, 2, 1], - [3, 0, 3, 3, 0], [1, 0, 1, 2, 1, 0, 1], [2, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3, 0, 3], [3, 0, 3, 3, 2, 3, 0, 3], [2, 3, 0, 3, 0, 3, 0, 1], [0, 3, 0, 3, 3, 2, 1, 1], [0, 1, 1, 2, 1, 0, 1, 2], - [2, 3, 0, 3, 2, 3, 0, 3, 2], [0, 1, 2, 3, 0, 1, 2, 1, 1], [1, 1, 1], [2, 3, 2, 3, 0], [1, 2, 1, 2, 3, 2], [1, 2, 3, 0, 3, 0, 1, 1, 1], [0, 3, 0, 3, 2, 1, 0, 1], [0, 3, 0, 1, 0, 1, 0, 3, 0, 1], - [0, 1, 1, 1, 0, 1], [1, 2, 1, 2, 1, 0, 3, 3], [0, 1, 2, 1, 1, 2], [1, 0, 3, 0, 3, 2, 3], [2, 1, 0, 3, 3, 0, 1, 1, 1], [2, 1, 2, 3, 3, 0, 1, 1, 0], [1, 1, 0, 1, 0, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 2], - [3, 2, 3, 3, 2], [1, 0, 1, 1, 0, 1, 0], [2, 1, 2, 1, 0, 1, 1], [1, 0, 3, 2, 1, 1, 1, 2], [1, 1, 1, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3], [2, 3, 0, 1, 2, 1, 2, 1], [1, 1, 0, 3, 0, 3, 0, 3, 0], - [0, 3, 2, 1, 1, 1, 2, 3, 3], [0, 1, 2, 3, 3, 0, 3, 3], [3, 3, 2, 1, 2], [2, 3, 2, 3, 0, 1, 2, 1, 2], [3, 2, 1, 1, 1, 0, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3], [2, 1, 1, 0, 1, 0, 1, 1], [0, 3, 2, 1, 0], - [0, 1, 1], [3, 3, 0, 1, 2, 1, 1, 2], [3, 3, 0, 3, 0], [2, 3, 3, 0, 1, 0, 3], [1, 0, 1, 2], [1, 1, 0, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 0, 1], - [0, 1, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 0, 3], [2, 3, 2, 3, 0, 3, 2, 3], [1, 1, 2, 3], [2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 1, 1, 0, 1], [1, 2, 1, 1, 0, 1, 0, 1, 0], [3, 0, 1, 0, 1, 1, 0], - [3, 0, 1, 1, 0, 1, 0], [3, 2, 1, 1, 1, 2, 3, 0], [0, 3, 2, 1, 2, 3, 3, 0, 1], [2, 1, 2, 1, 0, 1, 2, 3], [2, 1, 1, 2, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 2, 3, 0], [3, 2, 1, 0, 1, 1, 2], [1, 2, 1, 1, 1, 2, 1, 0], - [3, 2, 3, 0, 3, 0, 1, 2, 3], [3, 0, 3, 3, 2, 3, 3, 0, 1], [0, 3, 3, 2, 1, 1, 2, 3, 0, 3], [0, 1, 0, 1, 2, 3, 2, 3, 3], [0, 3, 0, 1, 2, 1, 1, 1, 2], [1, 0, 3, 2, 1, 0, 1], [0, 3, 2, 3, 0, 1, 0], [0, 1, 2, 3, 2, 3, 3, 0], - [1, 0, 3, 3, 2, 1, 0, 3, 3], [3, 0, 3, 2, 3, 0, 3, 3], [1, 0, 1, 0, 1, 0, 3, 0, 1], [1, 1, 1, 0, 3, 3, 0, 1], [1, 0, 3, 2, 1, 1, 2, 3, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2, 1], [1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [0, 1, 2, 1, 1, 2, 3, 2, 3], - [0, 1, 0, 3, 2, 3, 2, 1, 0], [3, 2, 3, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 3, 2, 1, 1], [0, 3, 0, 3, 2], [3, 0, 1, 2, 1, 2, 1, 0], [2, 1, 1, 2, 3, 2, 1, 1], [1, 2, 1, 1, 2, 1, 1, 0], [2, 1, 2, 3, 3, 2, 1, 0], - [0, 1, 0, 1, 1, 1, 2, 1], [3, 3, 2, 3, 0, 1], [3, 2, 3, 2, 3, 3, 2, 3, 3], [1, 0, 3, 3, 0, 3, 3, 2], [0, 1, 2, 1, 1, 2, 1, 0, 3, 0], [1, 0, 3, 0, 3, 3, 0], [0, 1, 2, 3, 0, 1, 1, 2], [0, 1, 0, 1, 0, 3, 2, 3, 2, 1], - [3, 2, 1, 2, 3, 3, 0], [1, 2, 1, 0, 1, 2, 3, 3], [3, 2, 3, 3, 2, 3, 2, 3], [3, 2, 1, 1, 0, 1], [1, 2, 3, 3, 0, 1, 2, 1], [0, 3, 2, 1, 0, 1, 0, 3, 0], [0, 3, 0, 1, 1, 0, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3], - [0, 3, 3, 0, 1, 0, 1, 0], [1, 2, 1, 0, 3, 0, 3, 3, 0], [0, 3, 2, 3, 2, 1, 2], [2, 1, 1, 1, 2, 3], [0, 3, 3, 0, 3, 2, 1, 1, 1, 2], [1, 1, 0, 1, 2, 3, 2, 3], [3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 0, 3, 2, 3, 3], - [1, 0, 3, 3, 2, 3, 3], [3, 0, 3, 2, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1], [1, 1, 0, 3, 2, 3, 2, 3], [1, 2, 1, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 2, 3, 0, 1], [1, 0, 3, 3, 0, 1, 2, 3, 3], - [3, 2, 1, 2, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 1, 0], [2, 1, 1, 0, 3, 2], [3, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 1, 1, 2, 3, 2], - [0, 1, 0, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 1, 2, 3, 0], [3, 3, 2, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0], [1, 1, 2, 3, 3, 0, 1, 1, 0], - [1, 2, 3, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 3, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0, 3], [0, 1, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 2, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 0, 1, 1, 2, 3], - [1, 1, 1, 2, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1], [2, 1, 1, 2, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [2, 3, 2, 1, 1, 0, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 1, 2], - [3, 2, 3, 2, 1, 1, 0, 1, 0], [0, 3, 0, 3, 2, 3, 0, 3, 0], [1, 0, 1, 2, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0, 1], [0, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 1, 2], [1, 2, 3, 2, 1, 1, 2, 1], - [0, 1, 0, 1, 2, 3, 0, 1, 1, 1], [0, 3, 0, 3, 3, 0, 3, 3, 2], [0, 1, 1, 0, 3, 0, 3, 3, 2], [1, 1, 0, 3, 0, 1], [2, 3, 0, 1, 1], [2, 1, 2, 3, 2], [0, 1, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 0], - 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3], + [1, 0, 3, 3, 2, 3, 3], [3, 0, 3, 2, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1], [1, 1, 0, 3, 2, 3, 2, 3], [1, 2, 1, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 2, 3, 0, 1], [1, 0, 3, 3, 0, 1, 2, 3, 3], + [3, 2, 1, 2, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 1, 0], [2, 1, 1, 0, 3, 2], [3, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 1, 1, 2, 3, 2], + [0, 1, 0, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 1, 2, 3, 0], [3, 3, 2, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0], [1, 1, 2, 3, 3, 0, 1, 1, 0], + [1, 2, 3, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 3, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0, 3], [0, 1, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 2, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 0, 1, 1, 2, 3], + [1, 1, 1, 2, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1], [2, 1, 1, 2, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [2, 3, 2, 1, 1, 0, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 1, 2], + [3, 2, 3, 2, 1, 1, 0, 1, 0], [0, 3, 0, 3, 2, 3, 0, 3, 0], [1, 0, 1, 2, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0, 1], [0, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 1, 2], [1, 2, 3, 2, 1, 1, 2, 1], + [0, 1, 0, 1, 2, 3, 0, 1, 1, 1], [0, 3, 0, 3, 3, 0, 3, 3, 2], [0, 1, 1, 0, 3, 0, 3, 3, 2], [1, 1, 0, 3, 0, 1], [2, 3, 0, 1, 1], [2, 1, 2, 3, 2], [0, 1, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 0], + [2, 3, 3, 2, 1, 1], [1, 0, 1, 2, 3, 2, 3, 2, 1, 0], [0, 3, 0, 1, 0, 3], [1, 0, 1, 1, 2, 3, 2, 3, 3], [2, 3, 0, 1, 1, 1], [1, 2, 3, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0, 1, 0], [3, 2, 1, 1, 2, 3, 0, 1], + [3, 0, 3, 2, 1, 1, 1], [1, 0, 3, 3, 2, 3], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2], [0, 1, 1, 2, 1, 1, 1, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 2, 1], [1, 0, 3, 3, 0, 1, 2, 3], [0, 1, 1, 1, 2, 3, 0, 1, 1], + [2, 1, 1, 2, 1, 1, 2], [3, 0, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 3], [2, 1, 0, 1, 2], [2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 1, 2, 3, 3, 0], [0, 1, 1, 0, 1, 1, 1, 2, 3], [3, 2, 3, 2, 1, 0, 3, 3], + [3, 0, 1, 1, 2, 1, 2, 1], [3, 2, 1, 0, 3, 2, 3], [0, 3, 0, 1, 1, 2, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1], [3, 0, 3, 0, 3, 2, 1, 1], [1, 0, 1, 1, 1, 2, 3, 0, 3], + [2, 1, 0, 3, 0, 3, 0, 1, 2], [0, 3, 0, 1, 1, 0, 1, 2, 3], [1, 2, 1, 0, 1, 0, 3, 3], [0, 1, 0, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 0, 1, 0, 3], [1, 2, 3, 0, 1, 1, 2], [1, 2, 3, 3, 2, 3, 0, 3, 2], + [1, 1, 1, 0, 3, 2, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0], [2, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 0, 3, 2, 3, 2], [2, 1, 1, 2, 1, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 1, 1], [0, 1, 1, 0, 3, 0, 3, 3, 2, 1], + [3, 3, 2, 3, 3, 2, 1, 0], [1, 2, 3, 3, 2, 1], [3, 0, 3, 0, 3, 3, 2], [3, 0, 1, 1, 0, 3, 3, 0], [2, 1, 1, 1, 2], [0, 3, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1, 1], [3, 2, 1, 2, 1, 0], + [1, 2, 1, 1, 2, 3, 0], [1, 1, 0, 1, 0, 1, 1], [0, 3, 0, 1, 1, 1, 0, 1, 0], [2, 3, 2, 1, 1, 0, 3, 0], [2, 3, 2, 3, 3, 2, 1, 0, 3], [1, 1, 0, 1, 2, 3, 2], [2, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1], + [1, 1, 1, 0, 1, 0, 3, 3], [2, 3, 2, 3, 2, 1, 0, 3, 3], [0, 1, 1, 0, 3, 0, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 0, 1], [1, 0, 3, 3, 2, 3, 3, 0, 1], [3, 0, 3, 2, 1, 1, 0, 1], [0, 1, 2, 1, 1, 1, 0, 3, 3], [3, 2, 1, 1, 2, 3, 2, 1], + [1, 1, 2, 1, 1, 1, 0, 1, 1, 0], [2, 1, 1, 2, 1, 2, 1, 0], [2, 3, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 3, 2, 3, 3], [0, 1, 2, 1, 0, 1, 1, 2, 1, 2], [0, 1, 2, 1, 2, 3, 3, 0, 1, 1], [1, 0, 1, 0, 3, 0, 1, 1], [0, 1, 1, 0, 3, 0, 3] ] private def clayworthWitnessData_chunk9 : Array (List (Fin 4)) := #[ - [1, 0, 1, 1, 0, 3, 2, 1, 1], [1, 2, 3, 2, 3, 2], [0, 1, 0, 3, 2, 1], [3, 2, 3, 0, 3, 3], [3, 0, 3, 0, 1, 1, 2], [3, 0, 3, 0, 3, 2, 1, 0, 1], [1, 2, 3, 3, 2, 1, 0, 3, 3, 2], [3, 0, 1, 1, 2, 1, 1], - [1, 0, 1, 2, 3, 3, 0, 1, 2], [2, 3, 3, 2, 1, 0, 1], [3, 2, 1, 2, 1, 2, 3, 0], [0, 3, 0, 1, 2, 1, 1, 0, 3], [0, 3, 0, 1, 0, 3, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 2, 3, 2, 3, 0], [3, 0, 3, 3, 2, 1, 0, 3, 3], - [0, 3, 0, 3, 3, 0, 3], [1, 1, 0, 1, 2, 3, 3, 0], [2, 1, 1, 2, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 2], [3, 0, 1, 2, 1, 1, 1], [1, 2, 3, 0, 1, 2, 1, 0], [2, 3, 0, 1, 1, 0, 1], [2, 1, 2], - [2, 1, 0, 3, 2], [1, 0, 1, 1, 2, 1, 0, 1, 2], [3, 0, 3, 0, 1, 1, 1, 0], [3, 3, 0, 3, 3, 0, 1, 1], [2, 1, 1, 0], [0, 1, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 1, 0, 3], - [2, 3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 3], [3, 3, 2, 1, 1, 0, 3, 3], [2, 1, 0, 3, 3, 0, 1, 2, 3], [1, 1, 0, 3, 2, 3, 3, 0], [1, 1, 0, 1, 2, 3, 3, 2, 1, 0], [0, 3, 2, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1], - [1, 1, 0, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 0, 1, 1], [3, 2, 1, 1, 0, 3, 0, 1, 2], [3, 0, 1, 1, 1, 0, 1, 0, 1, 2], [2, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 0, 3, 0], [0, 3, 2, 3, 3, 0, 1, 0, 1, 1], - [0, 3, 2, 3, 0, 3, 0, 1, 1], [0, 1, 2, 3, 2, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 0], [2, 3, 3, 2, 1, 0], [1, 1, 1, 2, 3, 3, 2, 1], [1, 2, 3, 0, 1, 1, 2, 3, 0], [1, 2, 3, 3, 0, 1, 1, 1, 2], - [3, 0, 1, 1, 2, 1], [3, 2, 1, 0, 3, 2, 3, 3, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 2, 3, 3, 0, 1, 1], [0, 3, 0, 1, 0, 3, 3, 0], [1, 2, 3, 2, 3, 0, 3, 2, 3], [2, 1, 1, 1, 2, 3, 0], [0, 3, 2, 3, 2, 1], - [1, 1, 2, 3, 2, 3, 0, 1], [1, 0, 1, 2, 3, 0, 3, 2], [1, 0, 1, 0, 3, 0, 1], [0, 1, 1, 0, 3, 0, 3, 3], [2, 3, 0, 1, 1, 0], [2, 1, 2, 3], [0, 1, 0, 3, 3, 0, 1, 2, 1, 2], [3, 2, 1, 1, 2, 3, 2], - [0, 3, 3, 0, 1, 0, 1, 2], [1, 2, 1, 0, 3, 0, 3, 3, 2], [1, 0, 3, 3, 2, 3, 3, 0], [3, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 3, 0, 1], [1, 0, 1, 0, 1, 0, 3, 2, 3, 2], [0, 3, 3, 0, 3, 2, 1, 1, 1], [0, 3, 2, 3, 3, 2, 1, 1], - [1, 0, 1, 1, 0, 3, 2, 1], [1, 1, 0, 1, 0, 1, 0], [3, 0, 3, 0, 3, 2, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3], [3, 2, 1, 2, 1, 0, 3, 0], [1, 0, 1, 2, 1, 2, 1, 0, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 1, 2, 1, 0, 3], - [3, 3, 0, 3, 3, 0, 1], [3, 0, 3, 0, 1, 1, 1, 0, 3], [3, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 2], [2, 1, 1, 0, 3], [0, 1, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3], - [1, 0, 3, 3, 0, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 2, 1, 1], [0, 3, 2, 3, 3, 0, 1, 0, 1], [0, 3, 0, 3, 2, 3, 0, 3, 2], [2, 1, 1, 1, 0, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 1, 1], [0, 1, 0, 3, 2], - [1, 2, 3, 0, 1, 2, 1, 0, 3], [3, 0, 1, 2, 1, 1], [0, 1, 1, 2, 3, 0, 1], [0, 1, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 2, 3], [1, 2, 3, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3], - [1, 0, 3, 3, 2, 1, 1, 0], [3, 0, 3], [2, 1, 2, 1, 0, 3, 2, 3, 2], [1, 2, 1, 1, 1, 0, 1, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 3], [3, 0, 3, 0, 3, 2, 3, 0], [3, 2, 1, 0, 3, 2, 1, 1, 0], [3, 0, 3, 2, 1, 0, 1, 2], - [3, 3, 2, 1, 1, 1, 2, 3], [2, 3, 2, 1, 2, 3, 3, 2, 1], [2, 3, 2], [1, 1, 1, 2, 1], [0, 1, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 2, 1, 2], [1, 0, 3, 2, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1], - [0, 3, 0, 3, 0, 1, 2, 1, 0, 3], [1, 1, 0, 3, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 1], [0, 1, 1, 1, 2, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 3, 3, 0], [2, 1, 2, 3, 3, 0, 1, 1, 1], [2, 3, 3, 0, 1, 1, 0, 3, 0], [0, 1, 2, 3, 3, 0, 3, 2, 1, 0, 1], - [1, 2, 1, 2, 1, 2, 3], [0, 3, 3, 0, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 3, 3], [0, 1, 2, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0], [0, 3, 3, 2, 1, 0], [1, 1, 2, 1, 1, 1, 0, 3, 2], [2, 1, 1, 2, 1, 2, 3, 3, 2], - [0, 3, 2, 1, 1], [0, 1, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 3, 0], [3, 2, 1, 1, 0, 3, 0, 3, 2], [1, 0, 3, 0, 3, 2, 1, 0, 3], [1, 0, 3, 0, 1, 1, 2, 3, 3], - [2, 3, 3, 2, 3, 0], [2, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 2, 3], [0, 1, 1, 1, 0, 1, 2, 1], [0, 1, 1, 2, 1, 0, 1, 0, 1], [2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 0, 3, 3, 0], [0, 1, 1, 1, 2, 1, 0, 3, 0], - [3, 2, 3, 3, 0, 1], [1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 1, 2, 1, 0, 3], [1, 1, 0, 1, 0, 3, 0], [1, 1, 0, 3, 0, 3, 0], [2, 3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 1, 2, 1, 2, 1, 0, 3], [3, 3, 2, 1, 0, 1], - [2, 3, 2, 3, 2, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 1], [1, 1, 0, 1, 2, 1, 2], [1, 0, 1, 0, 1, 2, 3, 2, 1], [3, 0, 3, 3, 0, 1, 1, 0, 3], [3, 2, 3, 0, 1, 0, 3, 3], [1, 2, 3, 0, 3, 3, 2], [0, 3, 2, 1, 0, 1, 1, 0, 3], - [0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 3, 3, 2, 3, 2, 1], [3, 2], [2, 3, 2, 3, 0, 1, 1, 2], [1, 1, 2, 3, 3, 2, 3, 3], [0, 1, 1, 2, 1, 1, 0, 3], [2, 1, 2, 1, 1, 2, 1], [1, 1, 0, 1, 2, 1, 2, 1, 0], - [0, 1, 2, 3, 3], [0, 3, 2, 1, 1, 1, 0], [0, 1, 1, 2, 1, 2, 1, 2], [3, 0, 3, 3, 2, 1, 1], [3, 0, 1, 0, 3, 3, 0, 3], [0, 3, 2, 1, 2, 1, 1], [1, 0, 3, 2, 3], [0, 1, 1, 0, 1, 0, 1, 2, 1, 1], - [0, 1, 0, 1, 1, 1, 0, 3, 3], [3, 3, 2, 1, 1, 1], [1, 0, 1, 2, 3, 3, 2, 3, 2], [0, 3, 2, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 0, 3], [0, 3, 3, 2, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 1], - [1, 1, 1, 0, 1, 1], [2, 3, 2, 3, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 3], [1, 1, 1, 0, 3, 0, 1, 2], [0, 1, 2, 1, 1, 2, 1, 1, 2], [1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 0, 3, 2, 3, 2, 3, 3], [1, 2, 3, 0, 3, 0, 3, 2], - [2, 3, 3, 2, 3, 0, 1, 0], [0, 3, 0, 1, 1, 1, 2, 3], [0, 1, 2, 1, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 1, 0], [1, 1, 0, 3, 3, 2, 1, 1, 1, 2], [1, 1, 2, 1, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 1, 0, 1], [2, 1, 1, 0, 1, 1, 2, 1], - [0, 1, 1, 2, 1, 0, 1, 1, 1], [1, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 1, 2, 3, 2, 3, 3, 0], [0, 3, 2, 1, 0, 1, 1, 2], [1, 2, 3, 3, 0, 1, 0, 3, 3], [3, 3, 2, 1, 2, 1, 2, 1, 1, 1], [2, 1, 1, 1, 0, 3, 0, 3], [0, 1, 1, 2, 3, 0, 3, 3, 2, 1], - [0, 1, 1, 0, 3, 3, 2, 3], [3, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 2, 1], [0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 0, 3, 0, 1, 1, 1], [1, 2, 1, 2, 3, 3, 0, 1, 2], - [1, 2, 1, 1, 0, 3, 0], [0, 1, 2, 1, 1, 0, 1, 1, 0], [1, 1, 1, 2, 1, 1, 0], [2, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0, 3], [1, 1, 1, 0, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0, 1], - [0, 1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 3, 3, 0, 3, 3, 2], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 0, 3, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1, 1], - [1, 0, 1, 0, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 3], [0, 1, 2, 3, 0, 3, 3], [1, 0, 1, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 2, 1, 2, 1], [0, 3, 0, 1, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2, 1, 1], - [0, 3, 2, 3, 3, 0, 1, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2], [0, 1, 1, 0, 1, 1], [2, 1, 0, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 1, 1, 0, 3, 3], - [1, 0, 3, 2, 1, 0, 3, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0, 1, 1, 2], [1, 2, 1, 0, 1, 0, 3, 2], [2, 3, 0, 3, 3, 0, 3], [0, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 2, 1, 2], [2, 3, 0, 3, 3, 2], - [1, 2, 3, 3, 2, 1, 1, 2], [2, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 2, 1, 1], [2, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 3, 3], [2, 1, 1, 2, 1, 1, 2, 1, 2], [0, 3, 0, 1, 2, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1], - [1, 0, 3, 3, 0], [3, 0, 3, 2, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3, 0, 1, 1], [0, 3, 0, 1, 1, 0], [1, 1, 1, 2, 3, 2, 1], [2, 3, 2, 3, 3, 2, 1], [1, 0, 1, 1, 1], [0, 3, 3, 2, 3, 2], - [1, 0, 3, 3, 0, 1, 0], [0, 3, 2, 1, 1, 2, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 2], - [3, 0, 3, 0, 3, 3, 2, 1, 2], [1, 1, 2, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 1, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 3, 0, 1, 2, 3, 0], [3, 0, 1, 1, 1, 2, 1], [0, 3, 0, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2], - [1, 0, 1], [0, 3, 3, 2, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 1, 2, 3, 2], [3, 2, 1, 0, 1, 1], [1, 2, 1, 1, 1, 2, 1, 2], - [0, 3, 2, 3, 3, 0, 1, 1, 2], [3, 2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 0], [1, 2, 1, 1, 2, 1, 1, 2], [2, 1, 2, 3, 3, 2, 1, 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2, 3, 0, 3, 3, 2, 1], + [0, 1, 1, 0, 3, 3, 2, 3], [3, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 2, 1], [0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 0, 3, 0, 1, 1, 1], [1, 2, 1, 2, 3, 3, 0, 1, 2], + [1, 2, 1, 1, 0, 3, 0], [0, 1, 2, 1, 1, 0, 1, 1, 0], [1, 1, 1, 2, 1, 1, 0], [2, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0, 3], [1, 1, 1, 0, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0, 1], + [0, 1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 3, 3, 0, 3, 3, 2], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 0, 3, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1, 1], + [1, 0, 1, 0, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 3], [0, 1, 2, 3, 0, 3, 3], [1, 0, 1, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 2, 1, 2, 1], [0, 3, 0, 1, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2, 1, 1], + [0, 3, 2, 3, 3, 0, 1, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2], [0, 1, 1, 0, 1, 1], [2, 1, 0, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 1, 1, 0, 3, 3], + [1, 0, 3, 2, 1, 0, 3, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0, 1, 1, 2], [1, 2, 1, 0, 1, 0, 3, 2], [2, 3, 0, 3, 3, 0, 3], [0, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 2, 1, 2], [2, 3, 0, 3, 3, 2], + [1, 2, 3, 3, 2, 1, 1, 2], [2, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 2, 1, 1], [2, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 3, 3], [2, 1, 1, 2, 1, 1, 2, 1, 2], [0, 3, 0, 1, 2, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1], + [1, 0, 3, 3, 0], [3, 0, 3, 2, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3, 0, 1, 1], [0, 3, 0, 1, 1, 0], [1, 1, 1, 2, 3, 2, 1], [2, 3, 2, 3, 3, 2, 1], [1, 0, 1, 1, 1], [0, 3, 3, 2, 3, 2], + [1, 0, 3, 3, 0, 1, 0], [0, 3, 2, 1, 1, 2, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 2], + [3, 0, 3, 0, 3, 3, 2, 1, 2], [1, 1, 2, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 1, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 3, 0, 1, 2, 3, 0], [3, 0, 1, 1, 1, 2, 1], [0, 3, 0, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2], + [1, 0, 1], [0, 3, 3, 2, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 1, 2, 3, 2], [3, 2, 1, 0, 1, 1], [1, 2, 1, 1, 1, 2, 1, 2], + [0, 3, 2, 3, 3, 0, 1, 1, 2], [3, 2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 0], [1, 2, 1, 1, 2, 1, 1, 2], [2, 1, 2, 3, 3, 2, 1, 2], [3, 0, 1, 1, 1, 2, 3], [3, 3, 2, 3, 0, 1, 0], + [3, 2, 1, 2, 3, 3, 2], [1, 2, 1, 0, 1, 2, 3, 3, 0], [3, 3, 0, 3, 2], [2, 3, 2, 3, 3, 2, 3], [3, 0, 1, 2, 1, 2, 1, 2], [2, 1, 1, 2, 3, 2, 1, 1, 0], [3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 3, 0], + [0, 1, 1, 1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 1, 0, 3, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2], [2, 1, 1, 2, 3, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 1, 1, 1], [0, 1, 2, 3, 0, 1, 1], [1, 0, 1, 1, 0, 3, 0, 1, 2], [1, 1, 0, 1, 1, 2, 3, 0, 1], + [3, 0, 3, 2, 3, 3, 2, 3, 3], [1, 0, 3, 3, 0, 3, 3], [2, 1, 0, 3, 3, 2, 1, 1, 0], [0, 3, 0, 3], [2, 1, 1, 0, 3, 3, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0], [3, 0, 1, 0, 3, 3, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 1, 0, 1, 0], + [0, 3, 2, 3, 2, 1, 1, 1, 2, 1], [3, 3, 2, 1, 0, 3, 2, 3], [1, 2, 3, 3, 0, 1, 2, 1, 0], [0, 3, 2, 1, 0, 1, 0, 3, 2], [0, 1, 1, 0], [3, 3, 0, 1, 2, 1, 1], [1, 2, 1, 2, 3, 3, 2, 3, 2], [2, 1, 2, 1, 0, 1, 2, 3, 0], + [0, 3, 0, 1, 1, 0, 3, 3], [2, 3, 0, 3, 0, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2], [3, 2, 1, 1, 1, 2, 3, 2], [2, 3, 0, 3, 3, 2, 3, 3], [2, 1, 1, 0, 1, 2, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 1], + [1, 0, 3, 2, 1, 0, 3, 3, 0, 3], [2, 1, 1, 2, 1, 0, 1, 2, 1], [0, 3, 0, 1, 2, 1, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2], [0, 1, 2, 3, 2, 3, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2, 3], [1, 0, 3, 0, 3, 3, 2], + [3, 2, 1, 1, 1, 2, 3, 2, 1], [3, 0, 1, 1, 0, 1, 2, 1], [0, 3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0], [1, 0, 3, 3, 0, 3], [3, 0, 3, 2, 3, 3, 2, 3], [0, 3, 0, 1, 1, 0, 3], [2, 3, 0, 3, 0, 3, 3, 0, 1], + [2, 1, 2, 3, 3, 2, 1, 2, 1], [1, 2, 1, 1, 2, 1, 1, 2, 1], [2, 3, 0, 3, 3, 2, 3], [2, 1, 1, 0, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2, 3], [0, 3, 2, 3, 3, 0, 1, 1, 2, 1], [1, 1, 2, 1, 2, 3, 2, 3], [1, 1, 2, 1, 1, 0], + [2, 1, 0, 1, 2, 1, 2, 3], [0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 2, 1, 2], [3, 3, 2, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 0, 3, 3, 0], [3, 0, 1, 1, 1, 2], [3, 2, 1, 1, 0, 3, 3, 0], + [1, 2, 3, 2, 3, 3, 2, 3, 0], [0, 1, 0, 3, 0, 1, 1, 0, 3, 3], [2, 1, 2, 1, 2, 1, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2, 1], [1, 0, 3, 3, 0, 1, 0, 3], [3, 0, 1, 2, 1, 0, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1], [1, 2, 3, 0, 1, 1, 2, 1, 2, 3] ] private def clayworthWitnessData_chunk10 : Array (List (Fin 4)) := #[ - [0, 1, 1, 2, 3, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 3, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3, 3], [0, 1, 0, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2], [1, 0, 3, 0, 3, 3, 2, 1], - [1, 1, 1, 2, 3, 2], [2, 3, 2, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 1, 2, 3, 3, 2, 1], [3, 2, 3, 0, 1, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 1, 2], - [3, 2, 1, 0, 1, 1, 1], [0, 3, 0, 3, 0, 3, 2, 1, 2], [0, 3, 3, 2, 3, 2, 3], [1, 0, 1, 1], [1, 2, 1, 1, 1, 0, 1, 2], [0, 1, 1, 2, 1, 1, 2, 3, 0, 3], [0, 1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 3, 0], - [2, 3, 2, 1, 2, 1, 0, 3, 0], [3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 2, 3, 0, 1, 2, 1], [1, 2, 1, 1, 0, 1, 1, 2], [0, 3, 0, 1, 2, 3, 3], [2, 1, 2, 1, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1, 0] + [0, 1, 1, 2, 3, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 3, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3, 3], [0, 1, 0, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2], [1, 0, 3, 0, 3, 3, 2, 1], + [1, 1, 1, 2, 3, 2], [2, 3, 2, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 1, 2, 3, 3, 2, 1], [3, 2, 3, 0, 1, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 1, 2], + [3, 2, 1, 0, 1, 1, 1], [0, 3, 0, 3, 0, 3, 2, 1, 2], [0, 3, 3, 2, 3, 2, 3], [1, 0, 1, 1], [1, 2, 1, 1, 1, 0, 1, 2], [0, 1, 1, 2, 1, 1, 2, 3, 0, 3], [0, 1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 3, 0], + [2, 3, 2, 1, 2, 1, 0, 3, 0], [3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 2, 3, 0, 1, 2, 1], [1, 2, 1, 1, 0, 1, 1, 2], [0, 3, 0, 1, 2, 3, 3], [2, 1, 2, 1, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1, 0] ] private def clayworthWitnessData : Array (List (Fin 4)) := clayworthWitnessData_chunk0 ++ clayworthWitnessData_chunk1 ++ clayworthWitnessData_chunk2 ++ clayworthWitnessData_chunk3 ++ clayworthWitnessData_chunk4 ++ clayworthWitnessData_chunk5 ++ clayworthWitnessData_chunk6 ++ clayworthWitnessData_chunk7 ++ clayworthWitnessData_chunk8 ++ clayworthWitnessData_chunk9 ++ clayworthWitnessData_chunk10 From 482447f141316f4cebeda4f482e9bc089a9c66ec Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 17:15:17 +1000 Subject: [PATCH 29/35] fix: add maxRecDepth/maxHeartbeats for ClayworthSabidussi The 4032-vertex IsPretransitive and sabidussiIso need increased maxRecDepth (deep unfolding of Subgroup.closure) and maxHeartbeats (elaboration of group membership proofs with large data). --- Archive/ClayworthSabidussi.lean | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean index 19f265b5dbeaf3..d57037d10b6945 100644 --- a/Archive/ClayworthSabidussi.lean +++ b/Archive/ClayworthSabidussi.lean @@ -1795,6 +1795,8 @@ private noncomputable instance : GraphAction cGroup (Fin 4032) clayworthGraph wh (fun i => by match i with | 0 => exact clayworthGen1_adj | 1 => exact clayworthGen2_adj) g.1 g.2 u v h +set_option maxRecDepth 8192 in +set_option maxHeartbeats 800000 in private noncomputable instance : MulAction.IsPretransitive cGroup (Fin 4032) where exists_smul_eq x y := ⟨⟨_, cGroup.mul_mem (applyWord'_mem clayworthGens _) @@ -1810,6 +1812,8 @@ private noncomputable instance : MulAction.IsPretransitive cGroup (Fin 4032) whe G₂(2) acts vertex-transitively on the 4032 cosets of C₃. `Clayworth ≃g Sab(G₂(2), C₃, D)` with `4032 = 12096/3` vertices, genus 505. -/ +set_option maxRecDepth 8192 in +set_option maxHeartbeats 800000 in noncomputable def clayworthSabidussiIso : clayworthGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer cGroup (0 : Fin 4032)) (connectionSet cGroup clayworthGraph 0) (connectionSet.isConnectionSet 0) := From 0e8c7e399b2bfe1dc14c88f6ad7b9d283c2c276e Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 18:13:49 +1000 Subject: [PATCH 30/35] =?UTF-8?q?fix(Archive):=20CI=20fixes=20=E2=80=94=20?= =?UTF-8?q?Klein=20docstring,=20Clayworth=20heartbeats,=20Klein=20longLine?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - KleinSurface.lean: "Primitive" → "Imprimitive" (C₃ not maximal in PSL(2,7)) - KleinSurface.lean: add `set_option linter.style.longLine false` - ClayworthSabidussi.lean: bump maxHeartbeats 800000 → 1600000 for CI --- Archive/ClayworthSabidussi.lean | 4 ++-- Archive/KleinSurface.lean | 3 ++- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean index d57037d10b6945..f4f0803ce6bbce 100644 --- a/Archive/ClayworthSabidussi.lean +++ b/Archive/ClayworthSabidussi.lean @@ -1796,7 +1796,7 @@ private noncomputable instance : GraphAction cGroup (Fin 4032) clayworthGraph wh g.1 g.2 u v h set_option maxRecDepth 8192 in -set_option maxHeartbeats 800000 in +set_option maxHeartbeats 1600000 in private noncomputable instance : MulAction.IsPretransitive cGroup (Fin 4032) where exists_smul_eq x y := ⟨⟨_, cGroup.mul_mem (applyWord'_mem clayworthGens _) @@ -1813,7 +1813,7 @@ private noncomputable instance : MulAction.IsPretransitive cGroup (Fin 4032) whe G₂(2) acts vertex-transitively on the 4032 cosets of C₃. `Clayworth ≃g Sab(G₂(2), C₃, D)` with `4032 = 12096/3` vertices, genus 505. -/ set_option maxRecDepth 8192 in -set_option maxHeartbeats 800000 in +set_option maxHeartbeats 1600000 in noncomputable def clayworthSabidussiIso : clayworthGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer cGroup (0 : Fin 4032)) (connectionSet cGroup clayworthGraph 0) (connectionSet.isConnectionSet 0) := diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean index 5ecd7a2cba0701..deb4cd51adfe6e 100644 --- a/Archive/KleinSurface.lean +++ b/Archive/KleinSurface.lean @@ -12,7 +12,7 @@ import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness The Klein graph (Foster census F056A) is a cubic arc-transitive graph on 56 vertices embedded on the Klein quartic surface of genus 3. -* **Sabidussi**: Sab(PSL(2,7), C₃), |PSL(2,7)| = 168. Primitive. +* **Sabidussi**: Sab(PSL(2,7), C₃), |PSL(2,7)| = 168. Imprimitive (C₃ not maximal). * **Tiling**: {7,3} — 24 heptagonal faces * V = 56, E = 84, F = 24, genus = 3, χ = -4 * **CSS code**: [[84, 6, ≥ 4]] @@ -27,6 +27,7 @@ rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration). A helper converts `Array` + size proof → `Fin n → α`. -/ +set_option linter.style.longLine false set_option linter.style.nativeDecide false /-- Convert an Array to a function on Fin, given a proof that the array has From 7bbc77dd0e15325027473f92d1241bf19c30ae85 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 18:39:22 +1000 Subject: [PATCH 31/35] perf: O(n) adjacency proofs for ClayworthSabidussi (1300x speedup) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Replace 4 native_decide proofs checking ∀ u v : Fin 4032 (16M pairs each) with O(n) edge-list checks: for each vertex, verify its 3 neighbors map to neighbors under the generator. 12096 checks instead of 16M per theorem. Build time: 40+ minutes → estimated <1 minute. --- Archive/ClayworthSabidussi.lean | 65 ++++++++++++++++++++++++++++++++- 1 file changed, 64 insertions(+), 1 deletion(-) diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean index f4f0803ce6bbce..007cc5c2fc8c75 100644 --- a/Archive/ClayworthSabidussi.lean +++ b/Archive/ClayworthSabidussi.lean @@ -1225,21 +1225,84 @@ def clayworthGens : Fin 2 → Equiv.Perm (Fin 4032) | 0 => clayworthGen1 | 1 => clayworthGen2 +/-! ### O(n) adjacency preservation + +Instead of checking `∀ u v : Fin 4032, Adj u v → Adj (g u) (g v)` directly +(which iterates 4032² = 16M pairs), we check only the 12096 actual directed +edges: for each vertex `u`, verify that `g` maps each of `u`'s 3 neighbors +to a neighbor of `g(u)`. This is 1300× faster. -/ + +private theorem clayworthGen1_adj_edges : ∀ u : Fin 4032, + have h := clayworthNeighborData_size + let b := 3 * u.val + clayworthAdjBool (clayworthGen1 u) + (clayworthGen1 (clayworthNeighborData[b]'(by omega))) ∧ + clayworthAdjBool (clayworthGen1 u) + (clayworthGen1 (clayworthNeighborData[b + 1]'(by omega))) ∧ + clayworthAdjBool (clayworthGen1 u) + (clayworthGen1 (clayworthNeighborData[b + 2]'(by omega))) := by + native_decide + theorem clayworthGen1_adj : ∀ u v : Fin 4032, clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen1 u) (clayworthGen1 v) := by + intro u v h + have ⟨h1, h2, h3⟩ := clayworthGen1_adj_edges u + simp only [clayworthGraph, clayworthAdjBool] at h ⊢ + rcases h with h | h | h <;> (subst h; assumption) + +private theorem clayworthGen1_inv_adj_edges : ∀ u : Fin 4032, + have h := clayworthNeighborData_size + let b := 3 * u.val + clayworthAdjBool (clayworthGen1.symm u) + (clayworthGen1.symm (clayworthNeighborData[b]'(by omega))) ∧ + clayworthAdjBool (clayworthGen1.symm u) + (clayworthGen1.symm (clayworthNeighborData[b + 1]'(by omega))) ∧ + clayworthAdjBool (clayworthGen1.symm u) + (clayworthGen1.symm (clayworthNeighborData[b + 2]'(by omega))) := by native_decide theorem clayworthGen1_inv_adj : ∀ u v : Fin 4032, clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen1.symm u) (clayworthGen1.symm v) := by + intro u v h + have ⟨h1, h2, h3⟩ := clayworthGen1_inv_adj_edges u + simp only [clayworthGraph, clayworthAdjBool] at h ⊢ + rcases h with h | h | h <;> (subst h; assumption) + +private theorem clayworthGen2_adj_edges : ∀ u : Fin 4032, + have h := clayworthNeighborData_size + let b := 3 * u.val + clayworthAdjBool (clayworthGen2 u) + (clayworthGen2 (clayworthNeighborData[b]'(by omega))) ∧ + clayworthAdjBool (clayworthGen2 u) + (clayworthGen2 (clayworthNeighborData[b + 1]'(by omega))) ∧ + clayworthAdjBool (clayworthGen2 u) + (clayworthGen2 (clayworthNeighborData[b + 2]'(by omega))) := by native_decide theorem clayworthGen2_adj : ∀ u v : Fin 4032, clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen2 u) (clayworthGen2 v) := by + intro u v h + have ⟨h1, h2, h3⟩ := clayworthGen2_adj_edges u + simp only [clayworthGraph, clayworthAdjBool] at h ⊢ + rcases h with h | h | h <;> (subst h; assumption) + +private theorem clayworthGen2_inv_adj_edges : ∀ u : Fin 4032, + have h := clayworthNeighborData_size + let b := 3 * u.val + clayworthAdjBool (clayworthGen2.symm u) + (clayworthGen2.symm (clayworthNeighborData[b]'(by omega))) ∧ + clayworthAdjBool (clayworthGen2.symm u) + (clayworthGen2.symm (clayworthNeighborData[b + 1]'(by omega))) ∧ + clayworthAdjBool (clayworthGen2.symm u) + (clayworthGen2.symm (clayworthNeighborData[b + 2]'(by omega))) := by native_decide theorem clayworthGen2_inv_adj : ∀ u v : Fin 4032, clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen2.symm u) (clayworthGen2.symm v) := by - native_decide + intro u v h + have ⟨h1, h2, h3⟩ := clayworthGen2_inv_adj_edges u + simp only [clayworthGraph, clayworthAdjBool] at h ⊢ + rcases h with h | h | h <;> (subst h; assumption) /-! ## BFS witness words -/ From a7819433e4ee2cc003ded67441bc656e7e7c3941 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 21:36:09 +1000 Subject: [PATCH 32/35] =?UTF-8?q?refactor(Archive):=20Clayworth=20surface?= =?UTF-8?q?=20via=20triangle=20group=20=CE=94(2,3,12)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Replace the 4048-line array-backed ClayworthSurface with an algebraic construction from the triangle group Δ(2,3,12). The face rotation R (order 12) and vertex rotation S (order 3) generate G₂(2) in its regular representation on 12096 darts. Vertices, edges, and faces arise as left cosets of ⟨S⟩, ⟨T⟩, ⟨R⟩ respectively. The general TriangleGroupSurface construction derives a CellularSurface from any finite quotient of Δ(2,3,r), with face_closed following from the identity T = RS (the "other end" of a dart has the same vertex as its R-successor, because S preserves vertex cosets). Build time drops from >30 minutes (CI timeout) to ~50 seconds. --- Archive.lean | 1 + Archive/ClayworthSurface.lean | 4333 ++--------------------------- Archive/TriangleGroupSurface.lean | 144 + 3 files changed, 449 insertions(+), 4029 deletions(-) create mode 100644 Archive/TriangleGroupSurface.lean diff --git a/Archive.lean b/Archive.lean index 7740ebf0a75cad..69e7336c8236d8 100644 --- a/Archive.lean +++ b/Archive.lean @@ -72,6 +72,7 @@ import Archive.MiuLanguage.DecisionNec import Archive.MiuLanguage.DecisionSuf import Archive.OxfordInvariants.Summer2021.Week3P1 import Archive.Sensitivity +import Archive.TriangleGroupSurface import Archive.VoltageGraphs import Archive.Wiedijk100Theorems.AbelRuffini import Archive.Wiedijk100Theorems.AreaOfACircle diff --git a/Archive/ClayworthSurface.lean b/Archive/ClayworthSurface.lean index eba6641aa2decc..cc81077e28dc09 100644 --- a/Archive/ClayworthSurface.lean +++ b/Archive/ClayworthSurface.lean @@ -3,4046 +3,321 @@ Copyright (c) 2026 Robin Langer. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Langer -/ -import Mathlib.Combinatorics.CellularSurface +import Archive.TriangleGroupSurface /-! -# Clayworth Surface (G₂(2)/C₃): Array-backed CellularSurface +# Clayworth Surface: Δ(2,3,12) on G₂(2) The Clayworth graph is a cubic arc-transitive graph on 4032 vertices, -embedded on a surface of genus 505. +`Sab(G₂(2), C₃)`, embedded on a surface of genus 505 via the triangle +group Δ(2,3,12). The face rotation R (order 12) and vertex rotation S +(order 3) satisfy `(RS)² = 1` and generate G₂(2) (order 12096). -* **Sabidussi**: Sab(G₂(2), C₃), |G₂(2)| = 12096, the exceptional - Chevalley group. The C₃ is from conjugacy class 1 (28 conjugates), - which fixes zero points of GH(2,2). -* **Tiling**: {12,3} — 1008 dodecagonal faces -* V = 4032, E = 6048, F = 1008, genus = 505, χ = -1008 -* **CSS code**: [[6048, 1010, ≥ 12]] -* **Imprimitive**: has block systems, but all quotients are degenerate - (K₂₈, 63×K₄, edgeless). The Langer graph is NOT a quotient. -* **Sibling** of the Langer graph (see `LangerGraph.lean`): both are - children of G₂(2) but from different conjugacy classes of C₃. +* V = 4032 = |G₂(2)|/3, E = 6048 = |G₂(2)|/2, F = 1008 = |G₂(2)|/12 +* χ = 4032 − 6048 + 1008 = −1008 = 2 − 2 × 505 +* Tiling: {12,3} — 1008 dodecagonal faces on a genus 505 surface +* CSS code: [[6048, 1010, ≥ 12]] -Array-backed data (auto-generated by `generate_lean_surface.py`). +The data (R, S as permutations of 12096 darts, plus coset maps) was +computed by GAP and verified: all triangle group relations hold, all +face boundaries visit distinct edges, and all edges connect distinct vertices. -## Array-backed lookup +## References -We store edge/face data in `Array` literals (flat memory, O(1) lookup) -rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration). -A helper converts `Array` + size proof → `Fin n → α`. +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 -/ -set_option linter.style.longFile 4200 +set_option linter.style.longLine false set_option linter.style.nativeDecide false - -/-- Convert an Array to a function on Fin, given a proof that the array has - the right size. Uses `a[i]'h` for O(1) lookup. -/ -def arrayToFin₂ {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := - a[i.val]'(by omega) - -/-! ## Raw data arrays -/ - -private def ClayworthSurface_edge_src_data_chunk0 : Array (Fin 4032) := - #[ - 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, - 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, - 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, - 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, - 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 32, 32, 32, 33, - 33, 33, 34, 34, 34, 35, 35, 35, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 39, - 40, 40, 40, 41, 41, 41, 42, 42, 42, 43, 43, 43, 44, 44, 44, 45, 45, 45, 46, 46, - 46, 47, 47, 47, 48, 48, 48, 49, 49, 49, 50, 50, 50, 51, 51, 51, 52, 52, 52, 53, - 53, 53, 54, 54, 54, 55, 55, 55, 56, 56, 56, 57, 57, 57, 58, 58, 58, 59, 59, 59, - 60, 60, 60, 61, 61, 61, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, - 66, 67, 67, 67, 68, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 72, 72, 72, 73, - 73, 73, 74, 74, 74, 75, 75, 75, 76, 76, 76, 77, 77, 77, 78, 78, 78, 79, 79, 79, - 80, 80, 80, 81, 81, 81, 82, 82, 82, 83, 83, 83, 84, 84, 84, 85, 85, 85, 86, 86, - 86, 87, 87, 87, 88, 88, 88, 89, 89, 89, 90, 90, 90, 91, 91, 91, 92, 92, 92, 93, - 93, 93, 94, 94, 94, 95, 95, 95, 96, 96, 96, 97, 97, 97, 98, 98, 98, 99, 99, 99, - 100, 100, 100, 101, 101, 101, 102, 102, 102, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, - 106, - 106, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 111, 111, 111, 112, 112, 112, - 113, - 113, 113, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 119, 119, - 119, - 120, 120, 120, 121, 121, 121, 122, 122, 122, 123, 123, 123, 124, 124, 124, 125, 125, 125, 126, - 126, - 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, - 133, - 133, 133, 134, 134, 134, 135, 135, 135, 136, 136, 136, 137, 137, 137, 138, 138, 138, 139, 139, - 139, - 140, 140, 140, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 145, 145, 145, 146, - 146, - 146, 147, 147, 147, 148, 148, 148, 149, 149, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, - 153, - 153, 153, 154, 154, 154, 155, 155, 155, 156, 156, 156, 157, 157, 157, 158, 158, 158, 159, 159, - 159, - 160, 160, 160, 161, 161, 161, 162, 162, 162, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, - 166 - ] - -private def ClayworthSurface_edge_src_data_chunk1 : Array (Fin 4032) := - #[ - 166, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 171, 171, 171, 172, 172, 172, - 173, - 173, 173, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 178, 178, 178, 179, 179, - 179, - 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 186, - 186, - 186, 187, 187, 187, 188, 188, 188, 189, 189, 189, 190, 190, 190, 191, 191, 191, 192, 192, 192, - 193, - 193, 193, 194, 194, 194, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 199, 199, - 199, - 200, 200, 200, 201, 201, 201, 202, 202, 202, 203, 203, 203, 204, 204, 204, 205, 205, 205, 206, - 206, - 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 212, - 213, - 213, 213, 214, 214, 214, 215, 215, 215, 216, 216, 216, 217, 217, 217, 218, 218, 218, 219, 219, - 219, - 220, 220, 220, 221, 221, 221, 222, 222, 222, 223, 223, 223, 224, 224, 224, 225, 225, 225, 226, - 226, - 226, 227, 227, 227, 228, 228, 228, 229, 229, 229, 230, 230, 230, 231, 231, 231, 232, 232, 232, - 233, - 233, 233, 234, 234, 234, 235, 235, 235, 236, 236, 236, 237, 237, 237, 238, 238, 238, 239, 239, - 239, - 240, 240, 240, 241, 241, 241, 242, 242, 242, 243, 243, 243, 244, 244, 244, 245, 245, 245, 246, - 246, - 246, 247, 247, 247, 248, 248, 248, 249, 249, 249, 250, 250, 250, 251, 251, 251, 252, 252, 252, - 253, - 253, 253, 254, 254, 254, 255, 255, 255, 256, 256, 256, 257, 257, 257, 258, 258, 258, 259, 259, - 259, - 260, 260, 260, 261, 261, 261, 262, 262, 262, 263, 263, 263, 264, 264, 264, 265, 265, 265, 266, - 266, - 266, 267, 267, 267, 268, 268, 268, 269, 269, 269, 270, 270, 270, 271, 271, 271, 272, 272, 272, - 273, - 273, 273, 274, 274, 274, 275, 275, 275, 276, 276, 276, 277, 277, 277, 278, 278, 278, 279, 279, - 279, - 280, 280, 280, 281, 281, 281, 282, 282, 282, 283, 283, 283, 284, 284, 284, 285, 285, 285, 286, - 286, - 286, 287, 287, 287, 288, 288, 288, 289, 289, 289, 290, 290, 290, 291, 291, 291, 292, 292, 292, - 293, - 293, 293, 294, 294, 294, 295, 295, 295, 296, 296, 296, 297, 297, 297, 298, 298, 298, 299, 299, - 299, - 300, 300, 300, 301, 301, 301, 302, 302, 302, 303, 303, 303, 304, 304, 304, 305, 305, 305, 306, - 306, - 306, 307, 307, 307, 308, 308, 308, 309, 309, 309, 310, 310, 310, 311, 311, 311, 312, 312, 312, - 313, - 313, 313, 314, 314, 314, 315, 315, 315, 316, 316, 316, 317, 317, 317, 318, 318, 318, 319, 319, - 319, - 320, 320, 320, 321, 321, 321, 322, 322, 322, 323, 323, 323, 324, 324, 324, 325, 325, 325, 326, - 326, - 326, 327, 327, 327, 328, 328, 328, 329, 329, 329, 330, 330, 330, 331, 331, 331, 332, 332, 332, - 333 - ] - -private def ClayworthSurface_edge_src_data_chunk2 : Array (Fin 4032) := - #[ - 333, 333, 334, 334, 334, 335, 335, 335, 336, 336, 336, 337, 337, 337, 338, 338, 338, 339, 339, - 339, - 340, 340, 340, 341, 341, 341, 342, 342, 342, 343, 343, 343, 344, 344, 344, 345, 345, 345, 346, - 346, - 346, 347, 347, 347, 348, 348, 348, 349, 349, 349, 350, 350, 350, 351, 351, 351, 352, 352, 352, - 353, - 353, 353, 354, 354, 354, 355, 355, 355, 356, 356, 356, 357, 357, 357, 358, 358, 358, 359, 359, - 359, - 360, 360, 360, 361, 361, 361, 362, 362, 362, 363, 363, 363, 364, 364, 364, 365, 365, 365, 366, - 366, - 366, 367, 367, 367, 368, 368, 368, 369, 369, 369, 370, 370, 370, 371, 371, 371, 372, 372, 372, - 373, - 373, 373, 374, 374, 374, 375, 375, 375, 376, 376, 376, 377, 377, 377, 378, 378, 378, 379, 379, - 379, - 380, 380, 380, 381, 381, 381, 382, 382, 382, 383, 383, 383, 384, 384, 384, 385, 385, 385, 386, - 386, - 386, 387, 387, 387, 388, 388, 388, 389, 389, 389, 390, 390, 390, 391, 391, 391, 392, 392, 392, - 393, - 393, 393, 394, 394, 394, 395, 395, 395, 396, 396, 396, 397, 397, 397, 398, 398, 398, 399, 399, - 399, - 400, 400, 400, 401, 401, 401, 402, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, - 406, - 406, 407, 407, 407, 408, 408, 408, 409, 409, 409, 410, 410, 410, 411, 411, 411, 412, 412, 412, - 413, - 413, 413, 414, 414, 414, 415, 415, 415, 416, 416, 416, 417, 417, 417, 418, 418, 418, 419, 419, - 419, - 420, 420, 420, 421, 421, 421, 422, 422, 422, 423, 423, 423, 424, 424, 424, 425, 425, 425, 426, - 426, - 426, 427, 427, 427, 428, 428, 428, 429, 429, 429, 430, 430, 430, 431, 431, 431, 432, 432, 432, - 433, - 433, 433, 434, 434, 434, 435, 435, 435, 436, 436, 436, 437, 437, 437, 438, 438, 438, 439, 439, - 439, - 440, 440, 440, 441, 441, 441, 442, 442, 442, 443, 443, 443, 444, 444, 444, 445, 445, 445, 446, - 446, - 446, 447, 447, 447, 448, 448, 448, 449, 449, 449, 450, 450, 450, 451, 451, 452, 452, 453, 453, - 453, - 454, 454, 454, 455, 455, 456, 456, 456, 457, 457, 458, 458, 458, 459, 459, 459, 460, 460, 460, - 461, - 461, 461, 462, 462, 462, 463, 463, 463, 464, 464, 464, 465, 465, 465, 466, 466, 467, 467, 468, - 468, - 468, 469, 469, 469, 470, 470, 470, 471, 471, 471, 472, 472, 472, 473, 473, 474, 474, 474, 475, - 475, - 475, 476, 476, 477, 477, 477, 478, 478, 478, 479, 479, 479, 480, 480, 480, 481, 481, 481, 482, - 482, - 483, 483, 483, 484, 484, 485, 485, 485, 486, 486, 486, 487, 487, 487, 488, 488, 489, 489, 490, - 490, - 491, 491, 492, 492, 493, 493, 493, 494, 494, 494, 495, 495, 496, 496, 496, 497, 497, 497, 498, - 498, - 499, 499, 500, 500, 500, 501, 501, 501, 502, 502, 502, 503, 503, 503, 504, 504, 504, 505, 505, - 506 - ] - -private def ClayworthSurface_edge_src_data_chunk3 : Array (Fin 4032) := - #[ - 506, 507, 507, 508, 508, 508, 509, 509, 510, 510, 511, 511, 512, 512, 512, 513, 513, 513, 514, - 514, - 514, 515, 515, 516, 516, 517, 517, 517, 518, 518, 518, 519, 519, 520, 520, 520, 521, 521, 522, - 522, - 522, 523, 523, 523, 524, 524, 524, 525, 525, 525, 526, 526, 526, 527, 527, 527, 528, 528, 528, - 529, - 529, 529, 530, 530, 531, 531, 532, 532, 532, 533, 533, 533, 534, 534, 534, 535, 535, 535, 536, - 536, - 536, 537, 537, 538, 538, 538, 539, 539, 539, 540, 540, 541, 541, 541, 542, 542, 542, 543, 543, - 543, - 544, 544, 544, 545, 545, 545, 546, 546, 547, 547, 547, 548, 548, 549, 549, 549, 550, 550, 550, - 551, - 551, 551, 552, 552, 553, 553, 554, 554, 555, 555, 556, 556, 557, 557, 557, 558, 558, 558, 559, - 559, - 560, 560, 560, 561, 561, 561, 562, 562, 563, 563, 564, 564, 564, 565, 565, 565, 566, 566, 566, - 567, - 567, 567, 568, 568, 568, 569, 569, 570, 570, 571, 571, 572, 572, 572, 573, 573, 574, 574, 575, - 575, - 576, 576, 576, 577, 577, 577, 578, 578, 578, 579, 579, 580, 580, 581, 581, 581, 582, 582, 582, - 583, - 583, 584, 584, 584, 585, 585, 586, 586, 586, 587, 587, 587, 588, 588, 588, 589, 589, 589, 590, - 590, - 590, 591, 591, 591, 592, 592, 592, 593, 593, 593, 594, 594, 595, 595, 596, 596, 596, 597, 597, - 597, - 598, 598, 598, 599, 599, 599, 600, 600, 600, 601, 601, 602, 602, 602, 603, 603, 603, 604, 604, - 605, - 605, 605, 606, 606, 606, 607, 607, 607, 608, 608, 608, 609, 609, 609, 610, 610, 611, 611, 611, - 612, - 612, 613, 613, 613, 614, 614, 614, 615, 615, 615, 616, 616, 617, 617, 618, 618, 619, 619, 620, - 620, - 621, 621, 621, 622, 622, 622, 623, 623, 624, 624, 624, 625, 625, 625, 626, 626, 627, 627, 628, - 628, - 628, 629, 629, 629, 630, 630, 630, 631, 631, 631, 632, 632, 632, 633, 633, 634, 634, 635, 635, - 636, - 636, 636, 637, 637, 638, 638, 639, 639, 640, 640, 640, 641, 641, 641, 642, 642, 642, 643, 643, - 644, - 644, 645, 645, 645, 646, 646, 646, 647, 647, 648, 648, 648, 649, 649, 650, 650, 650, 651, 651, - 651, - 652, 652, 652, 653, 653, 653, 654, 654, 654, 655, 655, 655, 656, 656, 656, 657, 657, 657, 658, - 658, - 659, 659, 660, 660, 660, 661, 661, 661, 662, 662, 662, 663, 663, 663, 664, 664, 664, 665, 665, - 666, - 666, 666, 667, 667, 667, 668, 668, 669, 669, 669, 670, 670, 670, 671, 671, 671, 672, 672, 672, - 673, - 673, 673, 674, 674, 675, 675, 675, 676, 676, 677, 677, 677, 678, 678, 678, 679, 679, 679, 680, - 680, - 681, 681, 682, 682, 683, 683, 684, 684, 685, 685, 685, 686, 686, 686, 687, 687, 688, 688, 688, - 689, - 689, 689, 690, 690, 691, 691, 692, 692, 692, 693, 693, 693, 694, 694, 694, 695, 695, 695, 696, - 696 - ] - -private def ClayworthSurface_edge_src_data_chunk4 : Array (Fin 4032) := - #[ - 696, 697, 697, 698, 698, 699, 699, 700, 700, 700, 701, 701, 702, 702, 703, 703, 704, 704, 704, - 705, - 705, 705, 706, 706, 706, 707, 707, 708, 708, 709, 709, 709, 710, 710, 710, 711, 711, 712, 712, - 712, - 713, 713, 714, 714, 714, 715, 715, 715, 716, 716, 716, 717, 717, 717, 718, 718, 718, 719, 719, - 719, - 720, 720, 720, 721, 721, 721, 722, 722, 723, 723, 724, 724, 724, 725, 725, 725, 726, 726, 726, - 727, - 727, 727, 728, 728, 729, 729, 730, 730, 731, 731, 732, 732, 733, 733, 734, 734, 734, 735, 735, - 735, - 736, 736, 736, 737, 737, 737, 738, 738, 739, 739, 739, 740, 740, 741, 741, 742, 742, 742, 743, - 743, - 743, 744, 744, 745, 745, 746, 747, 748, 748, 749, 749, 749, 750, 750, 751, 751, 752, 752, 753, - 753, - 754, 755, 755, 756, 756, 756, 757, 757, 757, 758, 758, 758, 759, 759, 759, 760, 760, 760, 761, - 761, - 762, 762, 763, 763, 764, 764, 764, 765, 765, 766, 766, 767, 768, 768, 768, 769, 769, 769, 770, - 770, - 770, 771, 771, 772, 772, 773, 773, 773, 774, 774, 774, 775, 775, 776, 776, 776, 777, 777, 778, - 778, - 778, 779, 779, 779, 780, 780, 780, 781, 781, 781, 782, 782, 782, 783, 783, 783, 784, 784, 784, - 785, - 785, 785, 786, 786, 787, 787, 788, 788, 788, 789, 789, 789, 790, 790, 790, 791, 791, 791, 792, - 792, - 793, 793, 794, 794, 795, 795, 796, 796, 797, 797, 798, 798, 798, 799, 799, 799, 800, 800, 800, - 801, - 801, 801, 802, 802, 803, 803, 803, 804, 804, 805, 805, 806, 806, 806, 807, 807, 807, 808, 808, - 809, - 809, 810, 811, 812, 812, 813, 813, 813, 814, 814, 815, 815, 816, 816, 817, 817, 818, 819, 819, - 820, - 820, 820, 821, 821, 821, 822, 822, 822, 823, 823, 823, 824, 824, 824, 825, 825, 826, 826, 827, - 827, - 828, 828, 828, 829, 829, 830, 830, 831, 832, 832, 833, 833, 834, 834, 835, 835, 836, 836, 837, - 837, - 837, 838, 838, 839, 839, 840, 840, 840, 841, 841, 842, 842, 842, 843, 843, 843, 844, 844, 844, - 845, - 845, 845, 846, 846, 846, 847, 847, 847, 848, 848, 848, 849, 849, 849, 850, 850, 851, 851, 852, - 852, - 852, 853, 853, 853, 854, 854, 855, 855, 856, 856, 856, 857, 857, 858, 858, 858, 859, 859, 859, - 860, - 860, 861, 861, 861, 862, 862, 862, 863, 863, 863, 864, 864, 865, 865, 866, 866, 867, 867, 867, - 868, - 868, 869, 869, 869, 870, 870, 870, 871, 871, 872, 872, 873, 873, 874, 874, 875, 875, 876, 876, - 877, - 877, 878, 878, 878, 879, 879, 880, 880, 880, 881, 881, 881, 882, 882, 883, 883, 884, 884, 885, - 885, - 885, 886, 886, 886, 887, 887, 887, 888, 888, 888, 889, 889, 890, 890, 891, 891, 892, 892, 893, - 893, - 894, 894, 895, 895, 896, 896, 897, 897, 898, 898, 899, 899, 900, 900, 901, 901, 901, 902, 902, - 903 - ] - -private def ClayworthSurface_edge_src_data_chunk5 : Array (Fin 4032) := - #[ - 903, 904, 904, 904, 905, 905, 906, 906, 906, 907, 907, 907, 908, 908, 908, 909, 909, 909, 910, - 910, - 910, 911, 911, 911, 912, 912, 912, 913, 913, 913, 914, 914, 915, 915, 916, 916, 916, 917, 917, - 917, - 918, 918, 919, 919, 920, 920, 920, 921, 921, 922, 922, 922, 923, 923, 923, 924, 924, 925, 925, - 925, - 926, 926, 926, 927, 927, 927, 928, 928, 929, 929, 930, 930, 931, 931, 931, 932, 932, 933, 933, - 933, - 934, 934, 934, 935, 935, 936, 936, 937, 937, 938, 938, 939, 939, 940, 940, 941, 941, 942, 942, - 942, - 943, 943, 944, 944, 944, 945, 945, 945, 946, 946, 947, 947, 948, 948, 949, 949, 949, 950, 950, - 950, - 951, 951, 951, 952, 952, 952, 953, 953, 954, 954, 955, 955, 956, 956, 957, 957, 958, 958, 959, - 959, - 960, 960, 961, 961, 962, 962, 963, 963, 964, 964, 965, 965, 965, 966, 966, 967, 967, 968, 968, - 968, - 969, 969, 970, 970, 970, 971, 971, 971, 972, 972, 972, 973, 973, 973, 974, 974, 974, 975, 975, - 975, - 976, 976, 976, 977, 977, 977, 978, 978, 979, 979, 980, 980, 980, 981, 981, 981, 982, 982, 983, - 983, - 984, 984, 985, 985, 986, 986, 987, 987, 988, 988, 989, 989, 990, 990, 990, 991, 991, 991, 992, - 992, - 993, 993, 994, 994, 995, 995, 995, 996, 996, 997, 997, 998, 998, 998, 999, 999, 1000, 1000, - 1001, 1001, - 1002, 1003, 1004, 1004, 1005, 1005, 1006, 1006, 1007, 1007, 1008, 1008, 1009, 1009, 1010, 1011, - 1011, 1012, 1012, 1013, - 1013, 1013, 1014, 1014, 1014, 1015, 1015, 1015, 1016, 1016, 1016, 1017, 1017, 1018, 1018, 1019, - 1019, 1020, 1020, 1021, - 1021, 1022, 1022, 1023, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1028, 1029, 1029, - 1029, 1030, 1030, 1031, - 1031, 1032, 1032, 1032, 1033, 1033, 1034, 1034, 1034, 1035, 1035, 1035, 1036, 1036, 1036, 1037, - 1037, 1037, 1038, 1038, - 1038, 1039, 1039, 1039, 1040, 1040, 1040, 1041, 1041, 1041, 1042, 1042, 1043, 1043, 1044, 1044, - 1044, 1045, 1045, 1045, - 1046, 1046, 1047, 1047, 1048, 1048, 1049, 1049, 1050, 1050, 1051, 1051, 1052, 1052, 1053, 1053, - 1054, 1054, 1054, 1055, - 1055, 1055, 1056, 1056, 1057, 1057, 1058, 1058, 1059, 1059, 1059, 1060, 1060, 1061, 1061, 1062, - 1062, 1062, 1063, 1063, - 1064, 1064, 1065, 1065, 1066, 1067, 1068, 1068, 1069, 1069, 1070, 1070, 1071, 1071, 1072, 1072, - 1073, 1073, 1074, 1075, - 1075, 1076, 1076, 1077, 1077, 1077, 1078, 1078, 1078, 1079, 1079, 1079, 1080, 1080, 1080, 1081, - 1081, 1082, 1082, 1083, - 1083, 1084, 1084, 1085, 1085, 1086, 1086, 1087, 1088, 1089, 1089, 1090, 1090, 1091, 1091, 1092, - 1093, 1093, 1093, 1094, - 1095, 1096, 1096, 1096, 1097, 1097, 1098, 1098, 1099, 1099, 1099, 1100, 1100, 1101, 1101, 1102, - 1102, 1102, 1103, 1103, - 1104, 1104, 1104, 1105, 1105, 1106, 1106, 1107, 1107, 1108, 1108, 1109, 1109, 1109, 1110, 1110, - 1111, 1111, 1112, 1112, - 1113, 1114, 1114, 1115, 1115, 1116, 1117, 1117, 1118, 1118, 1119, 1119, 1120, 1121, 1122, 1122, - 1123, 1123, 1123, 1124 - ] - -private def ClayworthSurface_edge_src_data_chunk6 : Array (Fin 4032) := - #[ - 1124, 1125, 1125, 1126, 1126, 1127, 1127, 1128, 1129, 1129, 1130, 1131, 1132, 1133, 1133, 1134, - 1134, 1135, 1135, 1136, - 1136, 1137, 1137, 1138, 1139, 1139, 1140, 1140, 1141, 1141, 1142, 1142, 1143, 1143, 1144, 1144, - 1144, 1145, 1145, 1146, - 1146, 1147, 1147, 1148, 1148, 1149, 1150, 1151, 1152, 1152, 1152, 1153, 1153, 1154, 1154, 1155, - 1155, 1156, 1156, 1157, - 1157, 1158, 1158, 1159, 1159, 1160, 1160, 1161, 1161, 1162, 1162, 1163, 1163, 1163, 1164, 1164, - 1164, 1165, 1165, 1165, - 1166, 1166, 1167, 1167, 1168, 1168, 1168, 1169, 1169, 1169, 1171, 1171, 1172, 1172, 1172, 1173, - 1174, 1174, 1174, 1175, - 1175, 1175, 1176, 1177, 1177, 1178, 1179, 1179, 1180, 1180, 1181, 1181, 1182, 1182, 1182, 1183, - 1183, 1184, 1184, 1184, - 1185, 1185, 1185, 1186, 1186, 1187, 1187, 1188, 1188, 1189, 1189, 1190, 1190, 1190, 1191, 1191, - 1191, 1192, 1192, 1193, - 1193, 1194, 1195, 1196, 1196, 1197, 1197, 1197, 1198, 1198, 1199, 1200, 1200, 1201, 1202, 1203, - 1204, 1204, 1204, 1205, - 1205, 1206, 1206, 1207, 1207, 1207, 1208, 1208, 1208, 1209, 1210, 1210, 1211, 1211, 1212, 1212, - 1213, 1213, 1214, 1214, - 1216, 1217, 1217, 1218, 1218, 1219, 1219, 1220, 1221, 1221, 1221, 1222, 1223, 1224, 1224, 1224, - 1225, 1225, 1226, 1226, - 1227, 1227, 1227, 1228, 1228, 1229, 1229, 1230, 1230, 1230, 1231, 1231, 1232, 1232, 1232, 1233, - 1233, 1234, 1234, 1235, - 1235, 1236, 1236, 1237, 1237, 1237, 1238, 1238, 1239, 1239, 1240, 1240, 1241, 1242, 1242, 1243, - 1243, 1244, 1245, 1245, - 1246, 1246, 1247, 1247, 1248, 1249, 1250, 1250, 1251, 1251, 1251, 1252, 1252, 1253, 1253, 1254, - 1254, 1255, 1255, 1256, - 1257, 1257, 1258, 1259, 1260, 1261, 1261, 1262, 1262, 1263, 1263, 1264, 1264, 1265, 1265, 1266, - 1267, 1267, 1268, 1268, - 1269, 1269, 1270, 1270, 1271, 1271, 1272, 1272, 1272, 1273, 1273, 1274, 1274, 1275, 1275, 1276, - 1276, 1277, 1278, 1279, - 1280, 1280, 1281, 1281, 1282, 1282, 1282, 1283, 1283, 1284, 1284, 1285, 1285, 1285, 1286, 1286, - 1286, 1287, 1287, 1288, - 1288, 1289, 1289, 1290, 1290, 1290, 1291, 1291, 1291, 1292, 1292, 1292, 1293, 1293, 1294, 1294, - 1294, 1295, 1295, 1295, - 1296, 1296, 1297, 1297, 1298, 1298, 1299, 1300, 1300, 1300, 1301, 1301, 1302, 1302, 1302, 1303, - 1303, 1303, 1304, 1305, - 1305, 1306, 1306, 1308, 1308, 1309, 1309, 1310, 1310, 1310, 1311, 1311, 1311, 1312, 1312, 1312, - 1313, 1313, 1313, 1314, - 1314, 1315, 1316, 1316, 1317, 1317, 1318, 1318, 1319, 1319, 1319, 1320, 1320, 1322, 1323, 1324, - 1324, 1325, 1325, 1325, - 1326, 1327, 1327, 1328, 1329, 1330, 1331, 1331, 1332, 1332, 1332, 1333, 1333, 1333, 1334, 1334, - 1334, 1335, 1335, 1336, - 1336, 1337, 1337, 1339, 1339, 1340, 1340, 1340, 1341, 1341, 1342, 1343, 1344, 1344, 1345, 1346, - 1346, 1347, 1347, 1348, - 1348, 1349, 1349, 1349, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1353, 1354, 1354, 1355, 1355, - 1355, 1356, 1356, 1356, - 1357, 1357, 1357, 1358, 1358, 1359, 1359, 1359, 1360, 1360, 1360, 1361, 1361, 1361, 1362, 1362, - 1363, 1363, 1364, 1364, - 1364, 1365, 1365, 1365, 1366, 1366, 1367, 1367, 1368, 1368, 1369, 1369, 1370, 1370, 1371, 1371, - 1372, 1372, 1373, 1373 - ] - -private def ClayworthSurface_edge_src_data_chunk7 : Array (Fin 4032) := - #[ - 1374, 1374, 1374, 1375, 1375, 1376, 1376, 1377, 1377, 1378, 1378, 1379, 1379, 1379, 1380, 1380, - 1381, 1381, 1382, 1382, - 1382, 1383, 1383, 1384, 1384, 1385, 1385, 1386, 1387, 1388, 1388, 1389, 1389, 1390, 1390, 1391, - 1391, 1392, 1392, 1393, - 1393, 1394, 1395, 1395, 1396, 1396, 1397, 1397, 1397, 1398, 1398, 1398, 1399, 1399, 1399, 1400, - 1400, 1400, 1401, 1401, - 1402, 1402, 1403, 1403, 1404, 1405, 1405, 1406, 1406, 1407, 1408, 1408, 1409, 1409, 1410, 1410, - 1411, 1411, 1412, 1413, - 1413, 1413, 1414, 1414, 1415, 1416, 1416, 1417, 1417, 1418, 1418, 1419, 1419, 1419, 1420, 1420, - 1421, 1421, 1421, 1422, - 1422, 1423, 1423, 1423, 1424, 1424, 1424, 1425, 1425, 1425, 1426, 1426, 1427, 1427, 1428, 1428, - 1428, 1429, 1429, 1429, - 1430, 1431, 1431, 1432, 1432, 1432, 1433, 1433, 1434, 1434, 1434, 1435, 1435, 1435, 1436, 1436, - 1437, 1437, 1437, 1438, - 1439, 1439, 1440, 1440, 1441, 1441, 1442, 1442, 1443, 1443, 1443, 1444, 1444, 1445, 1445, 1445, - 1446, 1446, 1447, 1447, - 1448, 1448, 1449, 1449, 1450, 1450, 1451, 1451, 1452, 1453, 1454, 1454, 1454, 1455, 1455, 1456, - 1456, 1456, 1457, 1457, - 1457, 1458, 1458, 1459, 1459, 1460, 1460, 1461, 1461, 1462, 1462, 1463, 1464, 1464, 1464, 1465, - 1465, 1466, 1466, 1467, - 1467, 1468, 1468, 1469, 1470, 1470, 1471, 1471, 1472, 1475, 1475, 1476, 1476, 1478, 1479, 1479, - 1480, 1481, 1481, 1482, - 1482, 1483, 1484, 1484, 1485, 1485, 1486, 1486, 1487, 1487, 1488, 1488, 1488, 1489, 1489, 1489, - 1490, 1490, 1491, 1491, - 1492, 1492, 1492, 1493, 1493, 1493, 1494, 1494, 1495, 1496, 1496, 1496, 1497, 1497, 1498, 1498, - 1498, 1499, 1499, 1499, - 1500, 1500, 1501, 1501, 1501, 1502, 1502, 1503, 1504, 1504, 1505, 1505, 1506, 1506, 1507, 1507, - 1507, 1508, 1508, 1509, - 1509, 1509, 1510, 1510, 1511, 1511, 1512, 1512, 1513, 1513, 1514, 1514, 1515, 1515, 1516, 1516, - 1517, 1518, 1518, 1518, - 1519, 1519, 1520, 1520, 1520, 1521, 1521, 1521, 1522, 1522, 1523, 1523, 1524, 1524, 1525, 1525, - 1526, 1527, 1527, 1528, - 1528, 1528, 1529, 1529, 1530, 1530, 1531, 1531, 1533, 1533, 1534, 1534, 1535, 1535, 1536, 1536, - 1537, 1537, 1538, 1538, - 1539, 1539, 1540, 1540, 1541, 1541, 1541, 1542, 1542, 1543, 1543, 1544, 1544, 1544, 1545, 1545, - 1546, 1546, 1546, 1547, - 1547, 1547, 1548, 1548, 1548, 1549, 1549, 1549, 1550, 1550, 1550, 1551, 1551, 1551, 1552, 1552, - 1553, 1553, 1554, 1555, - 1556, 1556, 1557, 1558, 1558, 1559, 1559, 1560, 1560, 1561, 1561, 1562, 1562, 1563, 1564, 1564, - 1565, 1565, 1565, 1566, - 1566, 1566, 1567, 1567, 1567, 1568, 1568, 1569, 1569, 1570, 1570, 1572, 1572, 1573, 1573, 1574, - 1574, 1574, 1575, 1575, - 1576, 1578, 1578, 1579, 1579, 1580, 1580, 1581, 1581, 1582, 1583, 1583, 1584, 1584, 1585, 1586, - 1586, 1587, 1588, 1588, - 1589, 1589, 1589, 1590, 1590, 1590, 1591, 1591, 1591, 1592, 1593, 1593, 1595, 1596, 1596, 1597, - 1597, 1598, 1599, 1599, - 1600, 1601, 1602, 1602, 1603, 1603, 1604, 1605, 1605, 1605, 1606, 1607, 1608, 1608, 1609, 1609, - 1610, 1611, 1611, 1611, - 1612, 1612, 1613, 1613, 1614, 1614, 1615, 1615, 1616, 1616, 1617, 1617, 1618, 1618, 1619, 1619, - 1620, 1620, 1621, 1621 - ] - -private def ClayworthSurface_edge_src_data_chunk8 : Array (Fin 4032) := - #[ - 1621, 1622, 1622, 1623, 1623, 1624, 1624, 1625, 1626, 1627, 1627, 1628, 1629, 1630, 1630, 1631, - 1632, 1633, 1634, 1634, - 1635, 1635, 1635, 1636, 1636, 1637, 1637, 1638, 1638, 1639, 1639, 1640, 1641, 1641, 1642, 1643, - 1644, 1645, 1645, 1646, - 1646, 1647, 1647, 1648, 1648, 1649, 1649, 1650, 1651, 1652, 1652, 1653, 1653, 1654, 1654, 1655, - 1655, 1656, 1656, 1657, - 1657, 1658, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1664, 1665, 1666, 1667, 1667, 1668, 1668, - 1669, 1669, 1670, 1671, - 1671, 1672, 1672, 1673, 1673, 1674, 1674, 1675, 1675, 1675, 1676, 1676, 1676, 1677, 1677, 1677, - 1678, 1678, 1679, 1679, - 1680, 1680, 1681, 1681, 1681, 1683, 1683, 1684, 1684, 1685, 1686, 1686, 1687, 1687, 1688, 1689, - 1689, 1691, 1691, 1692, - 1692, 1693, 1694, 1694, 1694, 1695, 1695, 1696, 1696, 1697, 1697, 1698, 1698, 1699, 1699, 1700, - 1700, 1701, 1702, 1702, - 1702, 1703, 1703, 1704, 1705, 1705, 1706, 1707, 1708, 1708, 1709, 1709, 1710, 1711, 1712, 1712, - 1713, 1714, 1716, 1716, - 1717, 1717, 1718, 1718, 1719, 1719, 1719, 1720, 1721, 1722, 1722, 1724, 1725, 1725, 1726, 1726, - 1728, 1729, 1729, 1730, - 1730, 1731, 1731, 1732, 1733, 1733, 1733, 1734, 1735, 1736, 1736, 1736, 1737, 1737, 1738, 1738, - 1739, 1739, 1739, 1740, - 1740, 1741, 1741, 1742, 1742, 1742, 1743, 1743, 1744, 1744, 1744, 1745, 1745, 1746, 1747, 1747, - 1748, 1749, 1749, 1750, - 1750, 1751, 1751, 1752, 1753, 1754, 1754, 1755, 1755, 1756, 1757, 1757, 1758, 1758, 1759, 1759, - 1760, 1761, 1762, 1762, - 1763, 1763, 1763, 1764, 1764, 1765, 1766, 1766, 1767, 1767, 1769, 1769, 1770, 1771, 1772, 1773, - 1773, 1774, 1775, 1776, - 1776, 1777, 1777, 1778, 1779, 1779, 1780, 1780, 1781, 1781, 1782, 1782, 1783, 1783, 1784, 1784, - 1785, 1786, 1786, 1787, - 1788, 1788, 1789, 1790, 1792, 1792, 1793, 1794, 1795, 1795, 1796, 1796, 1797, 1797, 1798, 1799, - 1799, 1800, 1800, 1801, - 1801, 1802, 1802, 1803, 1803, 1803, 1804, 1804, 1804, 1805, 1805, 1805, 1806, 1806, 1807, 1807, - 1808, 1808, 1809, 1809, - 1809, 1811, 1811, 1812, 1812, 1813, 1814, 1814, 1815, 1815, 1816, 1817, 1817, 1819, 1819, 1820, - 1820, 1821, 1822, 1822, - 1822, 1823, 1823, 1824, 1824, 1825, 1825, 1826, 1826, 1827, 1827, 1828, 1828, 1829, 1830, 1830, - 1830, 1831, 1831, 1832, - 1833, 1833, 1834, 1835, 1836, 1836, 1837, 1837, 1838, 1839, 1840, 1840, 1841, 1842, 1844, 1844, - 1845, 1845, 1846, 1846, - 1847, 1847, 1847, 1848, 1849, 1850, 1850, 1852, 1853, 1853, 1854, 1854, 1856, 1857, 1858, 1858, - 1859, 1859, 1860, 1861, - 1861, 1861, 1862, 1863, 1864, 1864, 1865, 1865, 1866, 1867, 1867, 1867, 1868, 1868, 1869, 1869, - 1870, 1870, 1871, 1871, - 1872, 1872, 1873, 1873, 1874, 1874, 1875, 1875, 1876, 1876, 1877, 1877, 1877, 1878, 1878, 1879, - 1879, 1880, 1880, 1881, - 1882, 1883, 1883, 1884, 1885, 1886, 1886, 1887, 1888, 1889, 1890, 1890, 1891, 1891, 1891, 1892, - 1892, 1893, 1893, 1894, - 1894, 1895, 1895, 1896, 1897, 1897, 1898, 1899, 1900, 1901, 1901, 1902, 1902, 1903, 1903, 1904, - 1904, 1905, 1905, 1906, - 1907, 1908, 1908, 1909, 1909, 1910, 1910, 1911, 1911, 1912, 1912, 1913, 1913, 1914, 1914, 1915, - 1916, 1917, 1918, 1919 - ] - -private def ClayworthSurface_edge_src_data_chunk9 : Array (Fin 4032) := - #[ - 1920, 1921, 1922, 1923, 1923, 1924, 1925, 1925, 1927, 1928, 1928, 1929, 1929, 1930, 1931, 1931, - 1931, 1932, 1932, 1933, - 1933, 1934, 1934, 1935, 1936, 1936, 1937, 1937, 1939, 1939, 1940, 1941, 1942, 1942, 1943, 1943, - 1944, 1945, 1947, 1947, - 1948, 1949, 1950, 1950, 1951, 1952, 1953, 1954, 1954, 1955, 1955, 1956, 1956, 1957, 1958, 1958, - 1959, 1959, 1961, 1961, - 1962, 1963, 1964, 1965, 1965, 1966, 1967, 1968, 1968, 1969, 1970, 1972, 1972, 1973, 1974, 1975, - 1975, 1976, 1977, 1978, - 1978, 1980, 1981, 1982, 1984, 1984, 1985, 1985, 1986, 1986, 1987, 1987, 1988, 1989, 1989, 1990, - 1991, 1992, 1992, 1993, - 1993, 1994, 1995, 1995, 1995, 1996, 1996, 1997, 1997, 1998, 1998, 1999, 2000, 2000, 2001, 2001, - 2003, 2003, 2004, 2005, - 2006, 2006, 2006, 2007, 2007, 2007, 2008, 2009, 2011, 2011, 2012, 2013, 2014, 2014, 2015, 2016, - 2016, 2017, 2017, 2018, - 2018, 2019, 2019, 2020, 2020, 2021, 2022, 2022, 2023, 2023, 2023, 2025, 2025, 2026, 2027, 2028, - 2029, 2029, 2029, 2030, - 2031, 2032, 2032, 2033, 2034, 2036, 2036, 2036, 2037, 2038, 2039, 2039, 2040, 2041, 2042, 2042, - 2044, 2044, 2045, 2046, - 2048, 2048, 2049, 2050, 2050, 2051, 2051, 2052, 2052, 2053, 2053, 2054, 2054, 2055, 2055, 2056, - 2057, 2057, 2058, 2058, - 2059, 2059, 2059, 2060, 2060, 2060, 2061, 2061, 2062, 2062, 2063, 2063, 2065, 2068, 2069, 2070, - 2070, 2070, 2071, 2071, - 2071, 2072, 2073, 2073, 2075, 2076, 2076, 2078, 2078, 2078, 2079, 2079, 2080, 2080, 2080, 2081, - 2081, 2081, 2082, 2083, - 2084, 2086, 2086, 2087, 2087, 2087, 2088, 2089, 2092, 2092, 2093, 2093, 2093, 2095, 2100, 2100, - 2100, 2101, 2101, 2102, - 2102, 2103, 2103, 2105, 2106, 2108, 2108, 2109, 2109, 2110, 2113, 2114, 2114, 2115, 2117, 2117, - 2117, 2118, 2119, 2120, - 2120, 2121, 2121, 2122, 2123, 2123, 2123, 2124, 2124, 2125, 2126, 2126, 2127, 2127, 2128, 2128, - 2129, 2130, 2131, 2132, - 2133, 2133, 2134, 2135, 2135, 2136, 2137, 2138, 2138, 2139, 2139, 2140, 2141, 2142, 2142, 2143, - 2143, 2144, 2145, 2146, - 2147, 2147, 2148, 2149, 2150, 2151, 2153, 2153, 2155, 2156, 2157, 2157, 2158, 2159, 2160, 2161, - 2162, 2163, 2163, 2164, - 2164, 2165, 2165, 2166, 2166, 2167, 2168, 2168, 2169, 2170, 2171, 2172, 2172, 2173, 2177, 2178, - 2179, 2179, 2180, 2181, - 2181, 2182, 2183, 2184, 2184, 2185, 2185, 2186, 2186, 2187, 2187, 2188, 2189, 2190, 2190, 2190, - 2191, 2191, 2192, 2194, - 2196, 2197, 2198, 2198, 2199, 2199, 2201, 2202, 2202, 2204, 2205, 2206, 2207, 2207, 2208, 2209, - 2210, 2211, 2212, 2213, - 2214, 2215, 2215, 2216, 2220, 2221, 2222, 2223, 2225, 2227, 2227, 2228, 2228, 2229, 2229, 2230, - 2230, 2231, 2232, 2232, - 2233, 2235, 2235, 2236, 2236, 2237, 2240, 2241, 2241, 2242, 2242, 2243, 2243, 2244, 2245, 2245, - 2246, 2246, 2247, 2248, - 2248, 2249, 2249, 2250, 2250, 2251, 2251, 2252, 2253, 2254, 2254, 2254, 2255, 2255, 2256, 2258, - 2258, 2260, 2261, 2261, - 2262, 2262, 2262, 2263, 2263, 2263, 2264, 2265, 2266, 2266, 2268, 2269, 2270, 2271, 2271, 2272, - 2272, 2273, 2273, 2274, - 2275, 2276, 2277, 2278, 2279, 2279, 2279, 2280, 2284, 2285, 2285, 2286, 2287, 2287, 2289, 2291, - 2291, 2292, 2292, 2292 - ] - -private def ClayworthSurface_edge_src_data_chunk10 : Array (Fin 4032) := - #[ - 2293, 2293, 2294, 2294, 2295, 2296, 2296, 2297, 2297, 2299, 2299, 2300, 2300, 2300, 2301, 2303, - 2304, 2304, 2305, 2306, - 2307, 2307, 2308, 2308, 2309, 2310, 2310, 2311, 2311, 2312, 2313, 2313, 2314, 2314, 2315, 2315, - 2316, 2316, 2317, 2317, - 2318, 2318, 2319, 2319, 2321, 2324, 2324, 2326, 2326, 2326, 2327, 2327, 2327, 2329, 2329, 2332, - 2332, 2334, 2334, 2335, - 2335, 2336, 2336, 2336, 2337, 2337, 2337, 2338, 2340, 2341, 2342, 2342, 2343, 2343, 2343, 2344, - 2344, 2348, 2348, 2349, - 2349, 2350, 2351, 2356, 2356, 2356, 2357, 2357, 2358, 2358, 2359, 2359, 2360, 2361, 2363, 2364, - 2364, 2365, 2365, 2366, - 2371, 2371, 2372, 2375, 2377, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2384, 2384, 2385, - 2385, 2385, 2386, 2387, - 2387, 2388, 2388, 2388, 2389, 2389, 2390, 2391, 2392, 2392, 2393, 2393, 2394, 2395, 2395, 2396, - 2396, 2397, 2397, 2400, - 2401, 2402, 2402, 2403, 2403, 2404, 2404, 2405, 2405, 2406, 2407, 2407, 2408, 2408, 2409, 2409, - 2410, 2411, 2412, 2414, - 2414, 2415, 2415, 2416, 2416, 2417, 2418, 2419, 2420, 2420, 2421, 2424, 2424, 2424, 2425, 2425, - 2426, 2426, 2427, 2427, - 2429, 2430, 2430, 2431, 2435, 2435, 2436, 2439, 2441, 2441, 2442, 2443, 2444, 2445, 2446, 2447, - 2448, 2448, 2448, 2449, - 2449, 2449, 2450, 2450, 2451, 2451, 2452, 2452, 2452, 2453, 2453, 2454, 2455, 2456, 2457, 2457, - 2458, 2458, 2459, 2460, - 2460, 2461, 2461, 2464, 2465, 2466, 2466, 2467, 2467, 2468, 2468, 2469, 2469, 2470, 2471, 2471, - 2472, 2472, 2473, 2474, - 2475, 2476, 2478, 2478, 2479, 2479, 2480, 2480, 2481, 2481, 2482, 2483, 2483, 2484, 2484, 2485, - 2488, 2488, 2488, 2489, - 2489, 2490, 2491, 2491, 2493, 2494, 2494, 2495, 2499, 2499, 2500, 2500, 2503, 2503, 2505, 2505, - 2506, 2506, 2507, 2508, - 2508, 2509, 2510, 2511, 2512, 2513, 2513, 2514, 2515, 2516, 2516, 2517, 2518, 2519, 2520, 2520, - 2521, 2521, 2522, 2523, - 2524, 2524, 2525, 2525, 2526, 2527, 2528, 2529, 2530, 2530, 2532, 2532, 2533, 2533, 2534, 2534, - 2535, 2535, 2536, 2538, - 2538, 2539, 2539, 2540, 2540, 2542, 2543, 2543, 2544, 2544, 2545, 2546, 2546, 2548, 2548, 2549, - 2549, 2550, 2551, 2553, - 2553, 2557, 2557, 2558, 2559, 2559, 2560, 2563, 2563, 2564, 2564, 2566, 2567, 2567, 2569, 2569, - 2570, 2570, 2571, 2572, - 2572, 2573, 2573, 2574, 2575, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2584, - 2585, 2586, 2587, 2588, - 2589, 2589, 2590, 2591, 2592, 2592, 2593, 2593, 2594, 2594, 2596, 2596, 2597, 2597, 2598, 2598, - 2599, 2599, 2602, 2602, - 2603, 2603, 2604, 2604, 2606, 2607, 2607, 2608, 2608, 2609, 2610, 2610, 2612, 2612, 2613, 2613, - 2614, 2615, 2617, 2617, - 2621, 2621, 2623, 2623, 2624, 2627, 2627, 2628, 2628, 2629, 2630, 2631, 2631, 2632, 2633, 2633, - 2634, 2634, 2635, 2635, - 2636, 2636, 2637, 2637, 2638, 2638, 2639, 2639, 2641, 2644, 2646, 2646, 2647, 2647, 2649, 2649, - 2652, 2652, 2654, 2654, - 2655, 2655, 2656, 2656, 2657, 2657, 2658, 2660, 2662, 2662, 2663, 2663, 2664, 2668, 2668, 2669, - 2671, 2676, 2676, 2677, - 2677, 2678, 2678, 2679, 2679, 2681, 2684, 2685, 2685, 2686, 2688, 2691, 2691, 2692, 2692, 2693, - 2694, 2695, 2695, 2696 - ] - -private def ClayworthSurface_edge_src_data_chunk11 : Array (Fin 4032) := - #[ - 2697, 2697, 2698, 2698, 2699, 2699, 2700, 2700, 2701, 2701, 2702, 2702, 2703, 2703, 2705, 2708, - 2710, 2710, 2711, 2711, - 2713, 2713, 2716, 2716, 2718, 2718, 2719, 2719, 2720, 2720, 2721, 2721, 2722, 2724, 2726, 2726, - 2727, 2727, 2728, 2732, - 2732, 2733, 2735, 2740, 2740, 2741, 2741, 2742, 2742, 2743, 2743, 2745, 2748, 2749, 2749, 2750, - 2755, 2755, 2756, 2757, - 2759, 2760, 2761, 2761, 2762, 2763, 2763, 2764, 2765, 2766, 2766, 2767, 2774, 2774, 2775, 2775, - 2777, 2780, 2782, 2783, - 2784, 2785, 2786, 2788, 2790, 2791, 2791, 2796, 2797, 2799, 2804, 2804, 2805, 2806, 2807, 2809, - 2812, 2813, 2816, 2817, - 2818, 2819, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2825, 2826, 2827, 2827, 2828, 2829, 2830, - 2830, 2831, 2838, 2838, - 2838, 2839, 2839, 2839, 2841, 2844, 2846, 2847, 2848, 2848, 2849, 2849, 2850, 2852, 2854, 2855, - 2855, 2855, 2860, 2861, - 2861, 2863, 2868, 2868, 2868, 2869, 2870, 2871, 2873, 2876, 2876, 2877, 2880, 2881, 2883, 2883, - 2884, 2885, 2888, 2888, - 2889, 2890, 2891, 2893, 2893, 2894, 2894, 2895, 2896, 2897, 2899, 2902, 2902, 2903, 2909, 2910, - 2911, 2912, 2913, 2914, - 2915, 2916, 2918, 2918, 2919, 2919, 2922, 2924, 2925, 2928, 2929, 2932, 2933, 2934, 2935, 2935, - 2938, 2940, 2941, 2942, - 2947, 2947, 2948, 2949, 2951, 2952, 2953, 2953, 2954, 2955, 2955, 2956, 2957, 2958, 2958, 2959, - 2966, 2966, 2967, 2967, - 2969, 2972, 2974, 2975, 2976, 2977, 2978, 2980, 2982, 2983, 2983, 2988, 2989, 2991, 2996, 2996, - 2997, 2998, 2999, 3001, - 3004, 3005, 3009, 3011, 3013, 3016, 3016, 3017, 3018, 3019, 3021, 3022, 3022, 3023, 3024, 3025, - 3026, 3028, 3029, 3030, - 3031, 3033, 3034, 3034, 3036, 3037, 3038, 3039, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, - 3047, 3051, 3052, 3053, - 3055, 3056, 3057, 3058, 3059, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3067, 3068, 3068, 3069, - 3075, 3077, 3080, 3081, - 3083, 3085, 3086, 3087, 3088, 3090, 3093, 3094, 3095, 3098, 3098, 3101, 3102, 3103, 3104, 3105, - 3107, 3110, 3111, 3116, - 3117, 3121, 3123, 3123, 3124, 3125, 3126, 3127, 3128, 3131, 3132, 3133, 3136, 3137, 3138, 3139, - 3141, 3142, 3143, 3144, - 3145, 3145, 3147, 3147, 3148, 3149, 3150, 3151, 3158, 3158, 3159, 3159, 3159, 3166, 3167, 3168, - 3168, 3169, 3169, 3174, - 3175, 3175, 3180, 3181, 3181, 3188, 3188, 3188, 3189, 3190, 3191, 3196, 3196, 3197, 3203, 3203, - 3204, 3207, 3209, 3209, - 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3218, 3219, 3221, 3222, 3223, 3224, 3225, 3228, 3229, - 3232, 3233, 3234, 3234, - 3236, 3236, 3238, 3239, 3239, 3242, 3244, 3247, 3247, 3252, 3252, 3253, 3257, 3257, 3261, 3263, - 3267, 3271, 3273, 3273, - 3275, 3276, 3280, 3281, 3282, 3283, 3284, 3285, 3287, 3288, 3289, 3292, 3293, 3296, 3297, 3298, - 3298, 3300, 3300, 3301, - 3303, 3306, 3307, 3311, 3311, 3312, 3314, 3316, 3316, 3321, 3321, 3327, 3331, 3333, 3336, 3337, - 3339, 3341, 3342, 3343, - 3350, 3351, 3358, 3359, 3360, 3361, 3366, 3367, 3372, 3373, 3380, 3381, 3382, 3383, 3388, 3389, - 3397, 3400, 3403, 3405, - 3406, 3407, 3414, 3415, 3422, 3423, 3430, 3436, 3437, 3445, 3446, 3447, 3452, 3453, 3461, 3464, - 3467, 3469, 3470, 3471 - ] - -private def ClayworthSurface_edge_src_data_chunk12 : Array (Fin 4032) := - #[ - 3478, 3479, 3486, 3487, 3494, 3500, 3501, 3509, 3510, 3511, 3516, 3517, 3523, 3528, 3529, 3533, - 3534, 3535, 3542, 3550, - 3552, 3553, 3558, 3559, 3564, 3565, 3572, 3573, 3575, 3581, 3597, 3599, 3622, 3628, 3637, 3645, - 3661, 3663, 3686, 3692, - 3701, 3709, 3725, 3727, 3750, 3756, 3765, 3773 - ] - -private def ClayworthSurface_edge_src_data : Array (Fin 4032) := - ClayworthSurface_edge_src_data_chunk0 ++ ClayworthSurface_edge_src_data_chunk1 ++ - ClayworthSurface_edge_src_data_chunk2 ++ ClayworthSurface_edge_src_data_chunk3 ++ - ClayworthSurface_edge_src_data_chunk4 ++ ClayworthSurface_edge_src_data_chunk5 ++ - ClayworthSurface_edge_src_data_chunk6 ++ ClayworthSurface_edge_src_data_chunk7 ++ - ClayworthSurface_edge_src_data_chunk8 ++ ClayworthSurface_edge_src_data_chunk9 ++ - ClayworthSurface_edge_src_data_chunk10 ++ ClayworthSurface_edge_src_data_chunk11 ++ - ClayworthSurface_edge_src_data_chunk12 - -private def ClayworthSurface_edge_tgt_data_chunk0 : Array (Fin 4032) := - #[ - 2280, 2372, 2835, 2268, 2857, 2905, 2009, 2793, 3369, 1533, 3112, 3183, 1479, 2216, 3154, 2499, - 2810, 3347, 2046, 2375, - 2771, 1476, 1982, 2963, 2874, 2916, 3209, 1516, 2980, 3131, 2204, 2921, 3187, 2505, 3002, 3364, - 1945, 2985, 3353, 2412, - 2852, 3514, 2899, 3195, 3203, 2429, 2788, 3518, 2617, 2746, 3411, 2351, 2476, 3774, 1298, 2110, - 3268, 1171, 2623, 2750, - 2493, 2660, 3770, 2106, 3267, 3684, 2003, 3176, 3204, 2258, 2503, 3006, 1817, 2089, 3673, 1210, - 2435, 3631, 1700, 3325, - 3450, 1828, 2603, 3710, 1339, 2441, 3602, 1689, 2729, 3433, 1956, 3261, 3390, 2223, 2540, 2938, - 2042, 2377, 3119, 2299, - 2371, 3090, 1579, 2724, 3624, 2363, 3273, 3667, 1193, 2713, 3612, 1833, 2649, 3753, 1961, 2841, - 3497, 2025, 3100, 3164, - 1320, 2439, 2643, 1188, 2610, 3706, 1578, 1726, 2707, 1570, 1722, 3748, 1481, 2235, 3492, 2020, - 3244, 3386, 1811, 2602, - 2686, 1331, 2073, 3635, 1705, 2332, 3737, 1683, 2344, 3271, 1593, 1850, 3731, 1327, 3308, 3454, - 2291, 2969, 3123, 2227, - 2777, 3481, 2194, 2500, 2814, 1939, 2878, 3207, 2594, 2682, 3428, 1586, 2084, 3643, 1177, 2355, - 3689, 1308, 2665, 3417, - 2287, 2557, 2942, 1475, 1978, 3475, 1214, 2322, 2436, 1599, 1854, 2067, 1348, 1662, 3155, 1625, - 2923, 3177, 1753, 2803, - 3371, 893, 2863, 3560, 839, 1256, 2834, 2563, 2811, 3376, 1351, 1790, 2770, 836, 1150, 2962, - 2928, 3194, 3298, 876, - 2991, 3579, 1244, 2867, 2906, 2569, 3003, 3377, 1113, 2995, 3354, 1388, 3172, 3834, 2875, 2929, - 3321, 1405, 2799, 3838, - 2553, 2747, 3440, 1452, 2095, 3899, 786, 2366, 3263, 723, 2559, 2728, 1469, 2671, 3880, 2362, - 3257, 3696, 1747, 2856, - 3327, 1619, 2567, 2984, 1049, 2345, 3691, 762, 1411, 3951, 996, 3243, 3434, 1060, 2539, 3690, - 827, 1417, 3922, 985, - 2739, 3435, 1124, 3307, 3357, 1263, 2604, 2909, 1353, 1786, 3567, 1347, 1658, 3538, 939, 2735, - 3944, 2107, 3234, 3697, - 745, 2716, 3932, 1065, 2652, 3868, 1129, 3161, 3817, 1769, 2844, 3548, 808, 1415, 2642, 740, - 2546, 3677, 938, 1022, - 2706, 930, 1018, 3858, 841, 1275, 3812, 1764, 3314, 3370, 1043, 2538, 2664, 819, 2329, 3955, - 1001, 2076, 3891, 979, - 2088, 3242, 953, 1082, 3887, 815, 3250, 3421, 1641, 2972, 3571, 1267, 2780, 3801, 1234, 2564, - 2792, 1107, 3198, 3306, - 2530, 2683, 3441, 946, 2340, 3963, 729, 2099, 3674, 796, 2675, 3418, 1636, 2621, 2922, 835, - 1146, 3795, 766, 1412, - 2066, 959, 1086, 2323, 1471, 1768, 2259, 1756, 2281, 3122, 1628, 1971, 3499, 957, 2031, 3583, - 903, 1278, 2002, 1539, - 1979, 3504, 1450, 1640, 1938, 900, 1128, 2195, 2298, 2466, 3109, 940, 2212, 3544, 1241, 2035, - 3099, 1545, 2234, 3505, - 1116, 2217, 3482, 1458, 2276, 3818, 2043, 2489, 3118, 1451, 1967, 3805, 1529, 1851, 3760, 1199, - 1394, 3903, 722, 1342, - 2431, 787, 1535, 1832, 1387, 1711, 3864, 1338, 2425, 3621, 1618, 2024, 2495, 1543, 1746, 2238, - 1052, 1321, 3634, 826, - 1401, 3941, 1007, 2411, 3754, 1071, 1515, 3647, 763, 1378, 3950, 988, 1843, 3755, 1135, 2475, - 3485, 1252, 1580, 3096, - 1442, 1659, 3557, 1465, 1787, 3566, 875, 1839, 3967, 1211, 2402, 3630, 809, 1820, 3954, 1075, - 1692, 3867, 1139, 2265 - ] - -private def ClayworthSurface_edge_tgt_data_chunk1 : Array (Fin 4032) := - #[ - 3819, 1651, 2012, 3570, 744, 1386, 1682, 804, 1522, 3608, 874, 1000, 1810, 866, 1019, 3877, - 905, 1274, 3825, 1647, - 2482, 3498, 1042, 1514, 1704, 755, 1305, 3931, 1011, 1180, 3890, 978, 1192, 2410, 889, 1083, - 3886, 751, 2418, 3741, - 1779, 2201, 3547, 1257, 1948, 3802, 1235, 1540, 1960, 1106, 2302, 2474, 1506, 1723, 3761, 882, - 1316, 3928, 793, 1203, - 3611, 732, 1715, 3738, 1597, 1775, 3135, 899, 1147, 3824, 830, 1170, 1407, 895, 1064, 1299, - 964, 1663, 3184, 1650, - 2027, 3179, 1771, 2283, 2859, 637, 3048, 3375, 583, 2152, 3346, 1668, 2282, 2864, 967, 1770, - 2288, 580, 1918, 3474, - 2032, 2628, 3178, 620, 3067, 3503, 2010, 2140, 3379, 1708, 2865, 3515, 1881, 2842, 3507, 1004, - 3185, 3835, 2033, 2668, - 3387, 1021, 2289, 3816, 2393, 2731, 3439, 1074, 2465, 3888, 530, 1834, 3262, 467, 2430, 2730, - 1067, 3297, 3889, 1835, - 3225, 3759, 1777, 2685, 3368, 1646, 1725, 3496, 1441, 1842, 3730, 506, 1081, 4015, 1380, 3241, - 3413, 1460, 2409, 3733, - 571, 1058, 3986, 1369, 2738, 3410, 1892, 2633, 2845, 1673, 2013, 2159, 969, 1757, 3055, 963, - 1624, 3026, 683, 2745, - 4008, 2492, 3236, 3769, 489, 2722, 3996, 1468, 3316, 3875, 1897, 3162, 3827, 1754, 3036, 3356, - 552, 1066, 3264, 484, - 2426, 3736, 682, 1406, 2751, 674, 1402, 3902, 585, 2171, 3823, 1776, 2631, 2858, 1431, 2387, - 3287, 563, 1826, 4019, - 1385, 2484, 3857, 1363, 2455, 3219, 697, 1409, 3898, 559, 3258, 3416, 1627, 3059, 3484, 2163, - 2266, 3804, 1667, 2130, - 2269, 1875, 2627, 3165, 2404, 3324, 3449, 690, 1849, 4027, 473, 2433, 3775, 540, 3265, 3455, - 1637, 1671, 2026, 579, - 1914, 3794, 510, 1087, 2432, 703, 1408, 1855, 1028, 1791, 2789, 1778, 2226, 2802, 1643, 1970, - 2987, 701, 2927, 3071, - 647, 2174, 2898, 1156, 1983, 2992, 1031, 1642, 1957, 644, 1896, 3091, 2052, 2213, 2815, 684, - 3032, 3108, 2137, 2203, - 2931, 1196, 2993, 3130, 1884, 2970, 3113, 1068, 2798, 3839, 2092, 2222, 2939, 1085, 1966, 3800, - 1497, 2354, 3695, 1010, - 1564, 3859, 466, 1343, 2558, 531, 1534, 2367, 1003, 2588, 3876, 1330, 2521, 3620, 1649, 2109, - 2920, 1213, 1774, 3134, - 1323, 1440, 3603, 570, 1017, 4005, 1391, 2537, 3669, 1447, 1513, 3600, 507, 994, 4014, 1372, - 2347, 3666, 1903, 2057, - 2973, 1161, 2148, 2200, 1033, 1629, 3045, 1027, 1752, 3054, 619, 2338, 4031, 1587, 2532, 3618, - 553, 2361, 4018, 1453, - 2607, 3874, 1907, 2779, 3826, 1626, 2908, 3058, 488, 1002, 2600, 548, 1530, 3613, 618, 1384, - 2346, 610, 1403, 3869, - 649, 2170, 3822, 1648, 2055, 2986, 1430, 1491, 2578, 499, 1337, 3995, 1395, 1583, 3856, 1362, - 1554, 2515, 633, 1410, - 3882, 495, 2554, 3672, 1755, 3035, 3097, 1947, 2153, 3803, 1155, 1944, 2131, 1874, 2051, 2776, - 1508, 2611, 3705, 626, - 1314, 3992, 537, 1595, 3626, 476, 2619, 3711, 1159, 1765, 2239, 643, 1915, 3813, 574, 1023, - 1576, 639, 1322, 1414, - 708, 1151, 2981, 1138, 2290, 2994, 1266, 2034, 2795, 509, 2926, 3070, 455, 2175, 2917, 1796, - 2047, 2800, 711, 1279, - 2021, 452, 1919, 3493, 2277, 2311, 3007, 492, 3066, 3502, 2162, 2267, 2930, 1836, 2801, 3519, - 1906, 2778, 3506, 748 - ] - -private def ClayworthSurface_edge_tgt_data_chunk2 : Array (Fin 4032) := - #[ - 2990, 3578, 2286, 2365, 2943, 765, 2030, 3582, 2091, 2396, 3694, 811, 2464, 3923, 658, 1706, - 2536, 595, 2090, 2408, - 818, 2585, 3940, 1707, 2524, 3758, 1262, 2348, 2904, 1134, 1853, 3480, 924, 1714, 3749, 634, - 802, 3997, 868, 2547, - 3668, 943, 2419, 3732, 699, 825, 4010, 857, 2098, 3685, 1893, 2307, 2781, 1801, 2149, 2264, - 713, 1240, 3044, 707, - 1112, 3027, 555, 2105, 3987, 2477, 2543, 3768, 617, 2082, 3984, 947, 2596, 3938, 1883, 2971, - 3561, 1243, 2907, 3033, - 680, 831, 2622, 612, 2427, 3752, 554, 894, 2111, 546, 890, 3933, 457, 2136, 3556, 1253, 2308, - 2794, 914, 2386, - 2579, 691, 1698, 4002, 873, 2471, 3920, 851, 2454, 2514, 569, 955, 3946, 687, 2555, 3688, 1115, - 3049, 3483, 2011, - 2139, 3545, 1795, 2008, 2158, 1902, 2313, 2968, 2415, 2601, 3704, 562, 1721, 4004, 601, 2434, - 3771, 668, 2618, 3707, - 1125, 1799, 2303, 451, 1880, 3539, 638, 810, 2438, 575, 936, 1727, 775, 1258, 2853, 1259, 1963, - 2866, 1131, 2219, - 3186, 573, 3050, 3374, 519, 2154, 3365, 1287, 2218, 3173, 772, 1130, 2224, 516, 1898, 3120, - 1968, 2692, 2879, 556, - 3037, 3121, 1946, 2155, 3378, 1341, 3114, 3182, 1899, 3115, 3163, 829, 2862, 3562, 1969, 2732, - 3391, 812, 2225, 3549, - 1500, 2667, 3438, 754, 1561, 3952, 594, 1194, 3240, 659, 1512, 2666, 747, 3296, 3953, 1195, - 3228, 3633, 1137, 2749, - 3352, 1265, 1324, 3101, 921, 1202, 3632, 698, 761, 4026, 879, 3251, 3412, 932, 1523, 3601, 635, - 738, 4030, 860, - 2674, 3429, 1904, 2697, 3160, 1283, 1949, 2160, 771, 1117, 3056, 777, 1245, 3057, 491, 2681, - 4017, 1577, 3247, 3619, - 681, 2658, 4003, 937, 3303, 3939, 1882, 2843, 3563, 1114, 3051, 3355, 616, 746, 3270, 676, - 1531, 3646, 490, 872, - 2687, 482, 891, 3966, 521, 2141, 3569, 1136, 2695, 3199, 915, 1490, 3286, 627, 1186, 3985, 883, - 1572, 3921, 850, - 1555, 3218, 505, 954, 3962, 623, 3259, 3432, 1242, 3034, 3098, 2138, 2202, 3546, 1289, 2161, - 2205, 1905, 2691, 2840, - 1519, 3309, 3448, 498, 1209, 4016, 665, 1594, 3642, 604, 3266, 3451, 1264, 1284, 1962, 515, - 1885, 3568, 702, 767, - 1598, 511, 958, 1215, 1023, 1604, 2725, 1010, 1195, 2738, 1067, 1323, 2667, 3014, 3695, 2119, - 3666, 1322, 2183, 2672, - 1066, 1328, 1607, 1863, 3730, 1200, 2751, 2820, 3010, 3759, 1178, 2173, 3699, 2237, 2673, 3771, - 1917, 2650, 3763, 1644, - 2734, 3946, 1201, 2860, 3707, 1329, 1661, 3933, 2460, 2927, 3186, 1778, 2400, 3568, 1962, 2560, - 2472, 3199, 1771, 2528, - 3569, 1963, 2593, 3503, 1073, 2877, 3688, 1006, 2220, 3752, 865, 1970, 3474, 1785, 3972, 935, - 2620, 2901, 884, 2483, - 3477, 1762, 3978, 928, 2898, 3179, 1894, 2653, 2825, 1181, 2150, 2179, 1053, 1609, 3047, 984, - 1603, 3030, 3170, 4007, - 2413, 2612, 3513, 3193, 3971, 892, 2535, 3555, 1886, 2715, 3947, 1050, 3040, 3676, 1770, 2502, - 2491, 3480, 902, 3178, - 898, 3582, 2124, 3953, 1072, 2666, 2823, 855, 2450, 2518, 1954, 3982, 941, 2407, 3537, 918, - 2390, 2583, 833, 3578, - 2561, 2904, 987, 3053, 3740, 1306, 2142, 3930, 1309, 2167, 2185, 1911, 2712, 2819, 2479, 2541, - 2937, 1977, 3990, 2370 - ] - -private def ClayworthSurface_edge_tgt_data_chunk3 : Array (Fin 4032) := - #[ - 3519, 2498, 2943, 997, 1194, 2180, 1868, 3952, 1791, 2374, 832, 1983, 1087, 1732, 2352, 1074, - 1707, 2347, 1003, 1842, - 2091, 3012, 3439, 2116, 3410, 1855, 1988, 2096, 1002, 1735, 1829, 1860, 3603, 1712, 2346, 2948, - 3018, 3620, 1690, 2156, - 3443, 2028, 2097, 3642, 1900, 2074, 3625, 1772, 2353, 3962, 1713, 2988, 3451, 1789, 1838, 3966, - 1569, 2795, 3375, 1504, - 1650, 3539, 2303, 3304, 1536, 2794, 1643, 3232, 3556, 2290, 3108, 3292, 1009, 3005, 3432, 1070, - 2045, 3646, 864, 2283, - 3091, 1657, 3974, 948, 3315, 3349, 871, 1596, 3088, 1634, 3970, 929, 2802, 3346, 1909, 2077, - 2953, 1693, 1993, 2165, - 989, 1737, 3061, 1048, 1731, 3062, 2809, 4021, 1517, 3106, 3311, 2786, 3983, 877, 3239, 3554, - 1887, 2330, 3945, 986, - 3052, 3420, 1642, 3206, 1537, 3101, 896, 2815, 897, 3549, 2122, 3940, 1008, 2090, 2951, 854, - 1559, 3222, 2297, 3973, - 956, 1511, 3536, 919, 1494, 3282, 834, 3562, 3323, 3352, 1051, 3039, 3609, 1819, 2143, 3929, - 1816, 1987, 2166, 1910, - 2333, 2947, 1588, 3245, 3385, 2274, 4022, 1474, 3114, 3202, 3391, 1061, 1706, 1991, 1866, 3923, - 1478, 1663, 838, 2282, - 767, 1092, 2085, 754, 1330, 2098, 818, 1202, 2354, 3008, 3438, 2112, 3429, 1215, 1924, 2341, - 831, 1095, 1189, 1862, - 3749, 1317, 2111, 2756, 3009, 3758, 1307, 2145, 3442, 1964, 2350, 3775, 1888, 2331, 3762, 1132, - 2094, 3898, 1326, 2796, - 3455, 1149, 1198, 3902, 2457, 2987, 3374, 1259, 2401, 3813, 2239, 3326, 2494, 2986, 1266, 3233, - 3822, 2226, 3289, 3502, - 814, 2813, 3416, 750, 1981, 3736, 1377, 2219, 3493, 1250, 4023, 1444, 3305, 3348, 1396, 2473, - 3476, 1273, 4006, 1433, - 2994, 3365, 1895, 2328, 2761, 1304, 1929, 2164, 792, 1097, 3060, 728, 1091, 3031, 3001, 3980, - 2428, 3300, 3512, 2978, - 3998, 1404, 3252, 3832, 1901, 2075, 3881, 795, 3041, 3419, 1279, 3200, 2490, 3496, 1470, 3007, - 1466, 3816, 2113, 3876, - 805, 2367, 2759, 1367, 2451, 3223, 2233, 4029, 1449, 2420, 3796, 1427, 2391, 3283, 1345, 3835, - 3322, 3368, 731, 3068, - 3739, 1179, 2172, 3865, 1176, 1923, 2135, 1878, 2072, 2755, 2468, 3260, 3384, 2210, 3975, 2369, - 3515, 3201, 3387, 741, - 1343, 1927, 1858, 3859, 1258, 2368, 1344, 2218, 810, 1223, 2661, 811, 1835, 2674, 747, 1714, - 2731, 3015, 3694, 2118, - 3685, 1727, 2247, 2736, 746, 1220, 1701, 1856, 3632, 1840, 2687, 3143, 3020, 3633, 1818, 2144, - 3698, 2301, 2737, 3626, - 1889, 2714, 3627, 1277, 2670, 3882, 1841, 3197, 3711, 1260, 1710, 3869, 1568, 2859, 2926, 1138, - 1505, 3794, 2026, 2566, - 1542, 2858, 1131, 2529, 3823, 2027, 2592, 3121, 753, 3180, 3672, 817, 2284, 3613, 1376, 2034, - 3120, 1145, 3991, 1455, - 2605, 2900, 1383, 1581, 3089, 1122, 4020, 1436, 2866, 2917, 1908, 2717, 3139, 1821, 2151, 2243, - 733, 1219, 3046, 797, - 1225, 3063, 2873, 3969, 1532, 2599, 3107, 2850, 4028, 1389, 2548, 3833, 1916, 2651, 3883, 730, - 3069, 3675, 1130, 2496, - 1538, 3134, 1448, 2879, 1467, 3800, 2114, 3889, 752, 2730, 3140, 1366, 1558, 2519, 2018, 4001, - 1459, 1524, 3797, 1426, - 1495, 2582, 1346, 3839, 2562, 2920, 794, 3038, 3610, 1691, 2157, 3866, 1688, 2134, 2249, 1879, - 2648, 3145, 1575, 2556 - ] - -private def ClayworthSurface_edge_tgt_data_chunk4 : Array (Fin 4032) := - #[ - 2936, 2041, 3968, 1473, 3130, 2497, 2939, 816, 1834, 2244, 1857, 3888, 1151, 1472, 1350, 2047, - 1407, 1600, 2714, 1394, - 1577, 2739, 1321, 1469, 3309, 3526, 3760, 1223, 3755, 1299, 3079, 3294, 1307, 1415, 1606, 1095, - 3691, 1563, 2706, 3332, - 3522, 3696, 1277, 1592, 3762, 3133, 3319, 3685, 1149, 3272, 3698, 1633, 2737, 4010, 1582, 3372, - 3749, 1326, 1632, 3997, - 2031, 2102, 3163, 1756, 2527, 3056, 1669, 1949, 2053, 3160, 1753, 2399, 3057, 1718, 1946, 2991, - 1463, 3389, 3732, 1390, - 3116, 3668, 1971, 2962, 1748, 3908, 1670, 2005, 2054, 2965, 1745, 3914, 2002, 3177, 1126, 3278, - 3337, 1254, 1552, 3075, - 1420, 1615, 3559, 1368, 1613, 3542, 3171, 3943, 1717, 2504, 3001, 3157, 3907, 2378, 3043, 1118, - 2723, 4011, 1438, 3552, - 3729, 1790, 2428, 2050, 2968, 3194, 3070, 1228, 4017, 1446, 3286, 3335, 2063, 2382, 1936, 3918, - 2506, 3025, 1679, 2510, - 3066, 1666, 2008, 1371, 3565, 3665, 1246, 1336, 3994, 1271, 1296, 3081, 1143, 2709, 3331, 2041, - 2101, 2376, 1976, 3926, - 2497, 3007, 2047, 2369, 1381, 1555, 3076, 1100, 4016, 1768, 2556, 1979, 1412, 1734, 1818, 1452, - 1843, 2601, 1387, 2345, - 2477, 3440, 3524, 1220, 3435, 2323, 2462, 2884, 1386, 1728, 2331, 1092, 3634, 1810, 2587, 3460, - 3530, 3621, 1260, 2616, - 3442, 2487, 2924, 3632, 1132, 2440, 3627, 1760, 1841, 4026, 2606, 3429, 3500, 1761, 2350, 4030, - 1206, 2267, 2863, 1503, - 1625, 3027, 2629, 2781, 1157, 2264, 1628, 3044, 3231, 2212, 2678, 2778, 1393, 3412, 3517, 1462, - 2941, 3601, 2195, 2803, - 1617, 3910, 2630, 2837, 1158, 2192, 1620, 3906, 2281, 2834, 1141, 2446, 3465, 1269, 2576, 2889, - 1373, 1741, 3573, 1418, - 1743, 3574, 2275, 3957, 1480, 2210, 2677, 2261, 3919, 3042, 3210, 1119, 1827, 4009, 1370, 3409, - 3564, 1640, 3260, 1154, - 2205, 2298, 3037, 1226, 4004, 1392, 2454, 3463, 1167, 3214, 2768, 3909, 1482, 3024, 1486, 2639, - 3050, 2626, 2840, 1439, - 3551, 3604, 1247, 2360, 3993, 1270, 2320, 2883, 1142, 1813, 3459, 1205, 2873, 3208, 2808, 3958, - 1473, 2218, 2879, 3201, - 1461, 2579, 2887, 1098, 3987, 1532, 1662, 2811, 1860, 2437, 1338, 2434, 1594, 1851, 3448, 3520, - 1216, 3451, 1598, 1848, - 1930, 1571, 1863, 1094, 3707, 1315, 2252, 2438, 3521, 3704, 1249, 1328, 3443, 1838, 1951, 3674, - 1120, 1829, 3699, 1900, - 2486, 3887, 1329, 2270, 3418, 1585, 1917, 3858, 2079, 2862, 3499, 2155, 2550, 3824, 2684, 3135, - 2108, 3498, 2162, 3254, - 3825, 2655, 2990, 3122, 2285, 3421, 1980, 3677, 993, 2981, 3115, 2146, 3959, 1076, 2632, 2836, - 1012, 2056, 2964, 2169, - 3942, 1057, 2853, 3506, 1127, 1812, 2245, 1268, 1297, 1928, 1865, 3572, 1859, 3543, 3513, 3916, - 2502, 2634, 3000, 3490, - 3934, 1020, 3253, 3811, 1133, 2485, 3897, 3408, 3553, 2175, 3205, 2049, 2984, 1024, 3519, 1025, - 3838, 1217, 3864, 1832, - 2242, 983, 2062, 3215, 3129, 3965, 1084, 2549, 3793, 1047, 2511, 2638, 961, 3834, 2625, 2856, - 3580, 3664, 1276, 1584, - 3861, 1239, 1553, 1934, 1110, 2251, 2447, 2058, 2872, 3206, 3106, 3911, 2498, 3003, 2875, 3202, - 1342, 1921, 1090, 3903, - 2154, 2501, 960, 3114, 2119, 3269, 2362, 3266, 2618, 2747, 3527, 3768, 1222, 3771, 2622, 2744, - 2762, 2116, 2595, 1088 - ] - -private def ClayworthSurface_edge_tgt_data_chunk5 : Array (Fin 4032) := - #[ - 3642, 2339, 3148, 3270, 3532, 3619, 1248, 2352, 3763, 2734, 2783, 3611, 1121, 2725, 3625, 2173, - 3318, 3886, 2353, 3166, - 3738, 2156, 2609, 3877, 1183, 2030, 3371, 1526, 1906, 3795, 1724, 2922, 1212, 3370, 1899, 2422, - 3812, 1695, 2225, 2923, - 3181, 3741, 2812, 3608, 992, 2224, 2930, 1913, 3927, 1063, 1672, 2004, 999, 1160, 2193, 1890, - 3956, 1056, 2021, 3378, - 1140, 2708, 3141, 1255, 2321, 2760, 2115, 3558, 2121, 3575, 3385, 3905, 1478, 1674, 2211, 3362, - 3964, 1005, 2421, 3810, - 1148, 3317, 3896, 3581, 3728, 1898, 2373, 1153, 2238, 1030, 3391, 1026, 3805, 1218, 3880, 2728, - 3138, 982, 1166, 2383, - 2914, 3937, 1069, 1525, 3792, 1046, 1487, 1678, 962, 3818, 1665, 2024, 3550, 3605, 1261, 2608, - 3860, 1238, 2577, 2766, - 1111, 3147, 3279, 1162, 2040, 2374, 2937, 3904, 1474, 2234, 2043, 2370, 2366, 2753, 1089, 3899, - 1477, 1919, 966, 2943, - 1088, 2074, 1587, 2099, 1203, 2611, 3761, 3776, 1732, 3738, 1170, 2586, 3084, 1094, 1178, 1607, - 3418, 1562, 2066, 2890, - 3441, 3777, 1571, 1772, 3763, 2609, 3102, 3410, 1661, 2595, 3443, 1121, 2097, 3986, 1585, 2911, - 3730, 1120, 1201, 4015, - 2276, 2742, 2970, 1241, 3045, 3230, 1797, 2200, 2693, 2973, 1244, 2398, 3054, 1846, 2203, 3172, - 2940, 3733, 3117, 3413, - 2217, 3155, 1233, 3842, 1798, 2256, 2694, 3152, 1236, 3846, 2259, 2995, 1638, 2581, 2888, 1557, - 1781, 3077, 1103, 3828, - 1101, 3799, 3000, 3894, 1845, 3170, 3205, 2960, 3845, 2380, 3064, 1630, 2083, 3989, 3747, 3809, - 1256, 2413, 2690, 3165, - 3003, 3048, 1738, 4031, 2578, 2881, 2379, 2703, 2197, 3855, 3028, 3212, 1807, 3211, 3067, 1794, - 2269, 3427, 3836, 1187, - 1759, 4025, 1173, 1782, 3083, 1655, 2069, 2894, 2274, 2373, 2741, 2211, 3893, 3178, 3202, 2282, - 2370, 1554, 3074, 1612, - 3992, 1278, 3245, 2234, 1222, 2650, 2492, 2675, 1715, 3324, 3630, 3788, 1604, 3611, 1682, 3295, - 3466, 1216, 1690, 1735, - 3674, 2463, 2642, 3338, 3697, 3783, 1644, 2437, 3625, 3318, 3487, 3666, 1789, 3269, 3699, 1248, - 2673, 4014, 2486, 3359, - 3603, 1249, 1713, 4005, 1967, 2359, 2842, 1116, 2526, 3055, 1288, 2013, 2312, 2845, 1113, 1502, - 3026, 1335, 2010, 2799, - 3388, 3600, 3516, 3669, 2035, 2770, 1108, 3844, 1280, 1941, 2304, 2773, 1105, 3850, 1938, 2867, - 1766, 3275, 3336, 1653, - 2443, 3464, 1229, 3831, 1231, 3814, 2872, 3879, 1318, 2501, 2809, 2832, 3843, 1484, 3029, 1758, - 2659, 4024, 3640, 3806, - 1150, 1517, 2305, 2776, 2875, 3071, 1610, 4008, 3287, 3329, 1483, 2317, 2000, 3854, 2508, 3065, - 1293, 2507, 3032, 1281, - 1944, 3683, 3837, 1631, 1699, 3988, 1654, 1685, 3470, 1783, 2645, 3342, 1477, 1977, 2342, 2040, - 3862, 2498, 2815, 1474, - 1983, 2455, 3457, 1740, 4027, 1128, 2541, 2043, 3163, 1532, 3177, 2281, 2556, 3504, 3846, 3499, - 2259, 2527, 3591, 2267, - 3371, 1503, 3155, 3652, 3376, 3842, 1477, 3506, 2550, 3365, 3645, 2501, 3378, 3182, 4006, 1526, - 3493, 3692, 2286, 4023, - 1199, 2714, 2998, 3046, 3294, 1821, 2184, 2717, 2949, 2462, 3063, 1818, 2095, 2231, 3476, 3709, - 3348, 3628, 1843, 2066, - 3777, 1173, 2176, 2069, 2950, 3776, 1170, 2739, 2507, 3657, 1483, 3587, 3879, 3862, 2744, 3831, - 2105, 2214, 3269, 2704 - ] - -private def ClayworthSurface_edge_tgt_data_chunk6 : Array (Fin 4032) := - #[ - 3784, 2444, 3016, 3192, 3981, 3473, 3872, 2477, 2072, 2946, 2747, 3008, 3969, 2519, 3655, 2443, - 2959, 1808, 3789, 3021, - 3276, 2189, 3275, 3009, 1176, 2177, 3345, 3885, 2296, 3976, 2256, 3593, 3152, 3651, 1209, 2437, - 2997, 1848, 3814, 2111, - 3266, 1215, 2434, 1495, 3588, 3968, 3309, 1851, 2246, 2431, 2715, 2418, 2729, 2493, 3251, 3078, - 3886, 2183, 3867, 3226, - 3527, 2240, 2439, 1927, 3673, 2707, 3330, 3074, 3684, 2237, 3881, 3249, 3581, 3695, 1981, 3235, - 3676, 2272, 2734, 3995, - 3373, 3859, 2273, 3992, 1775, 2358, 2843, 2012, 2160, 2591, 2309, 2840, 1375, 2009, 2161, 2980, - 2487, 3358, 3856, 2414, - 3564, 3705, 2963, 2004, 3588, 1749, 2310, 2960, 2001, 3594, 1746, 2857, 1958, 3221, 3339, 2214, - 3523, 2253, 2444, 3111, - 2255, 2392, 3094, 2851, 3623, 2568, 2978, 2837, 3587, 1354, 2147, 1950, 2744, 4009, 2462, 3104, - 3896, 1404, 2046, 2306, - 2973, 2874, 2174, 2188, 4003, 2470, 3218, 3340, 1358, 2319, 3598, 2129, 2570, 2574, 2170, 1752, - 2395, 3117, 3682, 2206, - 3989, 2231, 3529, 1975, 2704, 3333, 1352, 1785, 2357, 3606, 2561, 2986, 1345, 1791, 2405, 3524, - 1932, 4026, 2024, 2620, - 1946, 1971, 3260, 2428, 2803, 2928, 3844, 2923, 2399, 2770, 3396, 2778, 3122, 1938, 3231, 3716, - 3109, 3850, 2930, 3205, - 2422, 3120, 3436, 2373, 3115, 1969, 3991, 2917, 3254, 3756, 2801, 4020, 1307, 2038, 2671, 1563, - 3031, 2328, 2821, 1304, - 1989, 2587, 3060, 1711, 2331, 2870, 2900, 3773, 3089, 3453, 1682, 2345, 3788, 2645, 2822, 1685, - 1990, 3783, 1321, 2642, - 2379, 3721, 3211, 3401, 3893, 3894, 1315, 3799, 1571, 1721, 2869, 1301, 3787, 2584, 3017, 1955, - 3979, 2897, 3884, 2601, - 1688, 1986, 1338, 3020, 3975, 2391, 3719, 1999, 2581, 2325, 3785, 1560, 3019, 1557, 2831, 3015, - 2648, 2818, 3092, 3871, - 2787, 3977, 2773, 3395, 1941, 3715, 2037, 2595, 2681, 2339, 3828, 1594, 1727, 2618, 2687, 3223, - 3399, 3980, 1577, 2362, - 1990, 2436, 2476, 2537, 1453, 2089, 2411, 3076, 3411, 2180, 3433, 1438, 2067, 2886, 1984, 2075, - 2410, 1924, 3954, 2523, - 3780, 3082, 3941, 2220, 2552, 3419, 1463, 2912, 3952, 1416, 1964, 3947, 2016, 4016, 2542, 3438, - 3820, 2017, 2094, 3985, - 1626, 3183, 2131, 2268, 2632, 2776, 1629, 2148, 2265, 3291, 2679, 2779, 2417, 3448, 3837, 2486, - 2913, 3921, 2793, 2260, - 3590, 2624, 3157, 2257, 3586, 1651, 3154, 1422, 1973, 3785, 2229, 2512, 2893, 1997, 2397, 3125, - 1999, 2442, 3126, 1656, - 3637, 2662, 1616, 3599, 2146, 3288, 1951, 4011, 2394, 3116, 3408, 2302, 3305, 1659, 2141, 2186, - 4005, 1430, 2416, 3783, - 3285, 2773, 3589, 2128, 2637, 2154, 2625, 3160, 2463, 3103, 3924, 2104, 2207, 3988, 2064, 2230, - 2895, 1974, 3779, 3193, - 3299, 2787, 3638, 3199, 3322, 2485, 2515, 2880, 1930, 4018, 2280, 2810, 1856, 2440, 2433, 1595, - 1723, 3705, 3782, 1734, - 3711, 1576, 1720, 2188, 1592, 1862, 1606, 3455, 1994, 2432, 3449, 3778, 1760, 3698, 1710, 2206, - 3435, 1632, 1701, 3442, - 1889, 2487, 3922, 2015, 3691, 1582, 1888, 3951, 2719, 2798, 3482, 2137, 3255, 3557, 2349, 3096, - 2748, 3485, 2140, 2551, - 3566, 2334, 3099, 3185, 2044, 3690, 2221, 3434, 3113, 3184, 2129, 3878, 2309, 2772, 2696, 3153, - 2132, 3895, 2789, 3507 - ] - -private def ClayworthSurface_edge_tgt_data_chunk7 : Array (Fin 4032) := - #[ - 1639, 1684, 1992, 1767, 2181, 1871, 3815, 1869, 3798, 3512, 3847, 2316, 3171, 3200, 3472, 3901, - 2534, 3576, 1645, 2470, - 3925, 3682, 3808, 2152, 2504, 2689, 3198, 3515, 3560, 1730, 3967, 1704, 1985, 2509, 2702, 3093, - 3870, 3238, 3540, 2315, - 3213, 3579, 2306, 2792, 3426, 3821, 1573, 1773, 3961, 1556, 1750, 2187, 1622, 1998, 2445, 2496, - 2698, 2808, 3107, 3852, - 3194, 3201, 2497, 2811, 2178, 1602, 3928, 2174, 3208, 3130, 1896, 2376, 2298, 2369, 1473, 1979, - 2936, 3840, 2939, 1472, - 1802, 1976, 1480, 1918, 3387, 2275, 2368, 3384, 3841, 2288, 2931, 1823, 1966, 3354, 1957, 3379, - 1884, 2423, 3567, 2289, - 2906, 1527, 1881, 3538, 2670, 2975, 3755, 2144, 3319, 3950, 2876, 3647, 3004, 3754, 2145, 2606, - 3941, 2094, 2847, 3634, - 2909, 1852, 3357, 1633, 2085, 3627, 2127, 3829, 1780, 2644, 2824, 1652, 2068, 2952, 2125, 3830, - 1761, 2661, 3762, 1940, - 1800, 2257, 1873, 3892, 1876, 3863, 3769, 3780, 2104, 2826, 3264, 3746, 3820, 1660, 2597, 3924, - 2406, 3577, 2896, 3873, - 2112, 2616, 2088, 2945, 1728, 3775, 1729, 3963, 3544, 1960, 1623, 2580, 2958, 3641, 3807, 1788, - 3302, 3960, 1751, 2830, - 3277, 1601, 3944, 2664, 2817, 3344, 3900, 1510, 3541, 1485, 1806, 2381, 2600, 2680, 2954, 3618, - 3786, 2107, 3265, 2619, - 2683, 1793, 2302, 3583, 2118, 3272, 1600, 3626, 1866, 3072, 3412, 2176, 3432, 1857, 1926, 3672, - 1610, 3073, 3669, 2209, - 3420, 3689, 1952, 3675, 1887, 3731, 1631, 3417, 1916, 3748, 2335, 3182, 3819, 2614, 3051, 3504, - 2669, 3583, 2364, 3818, - 3058, 3310, 3505, 2654, 2993, 3570, 1660, 3454, 3706, 1697, 2992, 3563, 3042, 3639, 1844, 2629, - 3156, 1716, 2312, 2961, - 3065, 3622, 1825, 3173, 3826, 1608, 1959, 2228, 1864, 3124, 1870, 3095, 3596, 3833, 2566, 2636, - 2979, 3614, 3810, 1724, - 3301, 3491, 1965, 3728, 3105, 3409, 3071, 3320, 2305, 3006, 1792, 3839, 1793, 3518, 2177, 3754, - 1601, 1687, 2318, 3284, - 3577, 3645, 1852, 2613, 3473, 1815, 2575, 2635, 1665, 3514, 2626, 3176, 3132, 3683, 2236, 3746, - 2199, 1614, 1942, 2314, - 3192, 3304, 3554, 3591, 2562, 3002, 3195, 3323, 1922, 3741, 2565, 3050, 1664, 3562, 3015, 3256, - 2106, 3259, 2554, 2746, - 3079, 3874, 2182, 3882, 2558, 2723, 2764, 2531, 3012, 1920, 3962, 2083, 2828, 3240, 3084, 3939, - 2096, 2208, 3883, 2737, - 2782, 3931, 1953, 2736, 3945, 3069, 3246, 3760, 2097, 2846, 3890, 2545, 3052, 3761, 1774, 3369, - 1907, 3475, 2942, 3386, - 1882, 3492, 2905, 2861, 3903, 2797, 3928, 1696, 2908, 1912, 3607, 1748, 1831, 1703, 1872, 3636, - 1765, 1824, 3355, 1972, - 2705, 2821, 2065, 2215, 2757, 3011, 3110, 3017, 3127, 3349, 3585, 3363, 3644, 1709, 3490, 1980, - 3237, 3729, 3133, 3897, - 1885, 1798, 3352, 1794, 3485, 2178, 3770, 2750, 2818, 1686, 2897, 3617, 1837, 3472, 1814, 1666, - 3498, 1768, 3102, 3925, - 2221, 2544, 3747, 2198, 2513, 2763, 1943, 2827, 3220, 1784, 2900, 3584, 1787, 2110, 2754, 1921, - 3774, 1915, 1670, 2920, - 2970, 2995, 2035, 3245, 3505, 3914, 3482, 2002, 3230, 3596, 2010, 2906, 2962, 3402, 2929, 3908, - 3507, 2898, 3255, 3614, - 2931, 3208, 2993, 3978, 3423, 3474, 2033, 3972, 2074, 3191, 2586, 3061, 1693, 1925, 2077, 3144, - 2463, 3062, 1690, 1974 - ] - -private def ClayworthSurface_edge_tgt_data_chunk8 : Array (Fin 4032) := - #[ - 2735, 3452, 3477, 2901, 3629, 1715, 2706, 3522, 1926, 2709, 3136, 3526, 2099, 3214, 3400, 3589, - 3958, 3957, 2104, 3574, - 1973, 2616, 2745, 2064, 3525, 2442, 3013, 2979, 3999, 3491, 3935, 2492, 2712, 3137, 2107, 3014, - 4021, 3222, 3393, 2446, - 3149, 1680, 3535, 2589, 3023, 1935, 2576, 3010, 1922, 2915, 3948, 2019, 4012, 2005, 3595, 2965, - 3406, 2440, 3174, 1720, - 3573, 2619, 2751, 2433, 3586, 4022, 2611, 1723, 1920, 2330, 2355, 2547, 3456, 3877, 1988, 3890, - 2522, 3532, 1926, 2244, - 3417, 2322, 2882, 3428, 3457, 2028, 3883, 2545, 3439, 3550, 2284, 2531, 3420, 1953, 2353, 4019, - 2925, 3888, 1952, 4027, - 2743, 2971, 2149, 2201, 3290, 2696, 2968, 2158, 2204, 2852, 2910, 3857, 3449, 3565, 2835, 2193, - 3719, 2688, 2832, 2196, - 3724, 2985, 2293, 2517, 2891, 2037, 3525, 1935, 3508, 1933, 3479, 2979, 3764, 2850, 3320, 2965, - 3721, 2168, 2271, 2339, - 3994, 3489, 3860, 2216, 2689, 2845, 3002, 2152, 1994, 3984, 2514, 2892, 2701, 3723, 2132, 3293, - 3280, 2171, 3426, 3516, - 2015, 4024, 2038, 3531, 2294, 2325, 2885, 2726, 3735, 2858, 3323, 3522, 2250, 3997, 2238, 3315, - 2842, 2413, 2867, 2217, - 2541, 3118, 3910, 3099, 2195, 2526, 3722, 2203, 3354, 2398, 2834, 3658, 3377, 3906, 2376, 3113, - 2551, 3346, 3743, 2504, - 3379, 2865, 3970, 2423, 3091, 3679, 2222, 3974, 1839, 2650, 2806, 3047, 3295, 2248, 2653, 2757, - 3030, 2295, 2340, 3088, - 3708, 3349, 3772, 2323, 3524, 1813, 2240, 2320, 2758, 3530, 1810, 2675, 2510, 3656, 2382, 3720, - 3943, 3926, 2680, 3559, - 2278, 2338, 3272, 2640, 3523, 3022, 2851, 4013, 3128, 3936, 2333, 2754, 2683, 3012, 4007, 2518, - 3649, 2767, 3534, 3011, - 3274, 2253, 3278, 3018, 1816, 2241, 3363, 3949, 2232, 4000, 2192, 3726, 2837, 3662, 1849, 2805, - 3542, 2346, 3265, 1855, - 2390, 3713, 3990, 3324, 2182, 2651, 2665, 3241, 3468, 3950, 2247, 3931, 3227, 3786, 2176, 1991, - 3689, 2643, 3334, 3463, - 3667, 2301, 3945, 3246, 3694, 3807, 2045, 3256, 3675, 2208, 2670, 4002, 3360, 3923, 2209, 4004, - 2103, 3162, 1948, 2159, - 2590, 2056, 3165, 1945, 2130, 2788, 3361, 3920, 3704, 3836, 2771, 1940, 3713, 2048, 2768, 1937, - 3712, 3187, 2022, 3216, - 3341, 2278, 3784, 2189, 3511, 2191, 3494, 3192, 3767, 2565, 2786, 3152, 3720, 2133, 2014, 2680, - 4025, 3486, 3960, 1982, - 2049, 2781, 3195, 2175, 2252, 3996, 3219, 3328, 2061, 3725, 2169, 2572, 2571, 2136, 3517, 3664, - 2270, 3993, 2295, 3790, - 2039, 2640, 3343, 2086, 3750, 2562, 2794, 3777, 1996, 4015, 1960, 2605, 3186, 3179, 2374, 2802, - 2992, 3895, 2987, 2400, - 2789, 3639, 2795, 2859, 3184, 3766, 2864, 3878, 2994, 2401, 2853, 3622, 2368, 2866, 3173, 3942, - 2981, 3765, 2800, 3959, - 2725, 3510, 2672, 3558, 2321, 3080, 2708, 3461, 2096, 3575, 2352, 2465, 3127, 2964, 3727, 2836, - 3597, 2347, 2432, 3778, - 3072, 2445, 3462, 3782, 2738, 2381, 3714, 3585, 3841, 3840, 2736, 3830, 2464, 2661, 3110, 2705, - 3781, 2065, 3528, 3156, - 3917, 2961, 3848, 2091, 2447, 3458, 2731, 3520, 3905, 2383, 3718, 2068, 3471, 2324, 3791, 2641, - 3533, 2644, 3085, 3521, - 3073, 2833, 3853, 2769, 3912, 2772, 3592, 3153, 3717, 2085, 3509, 2341, 3829, 2438, 2674, 2098, - 3584, 3904, 2667, 2354 - ] - -private def ClayworthSurface_edge_tgt_data_chunk9 : Array (Fin 4032) := - #[ - 2843, 2857, 2620, 3724, 3824, 3819, 2591, 3911, 3369, 2835, 3654, 3347, 3719, 3826, 2614, 3374, - 3965, 2565, 3355, 2862, - 4029, 3680, 3813, 3975, 2715, 2999, 2150, 3226, 2712, 2952, 2167, 2351, 3681, 3796, 3384, 3948, - 2322, 3457, 2325, 2944, - 3456, 2729, 2571, 3661, 3907, 3767, 3750, 2723, 3511, 2361, 3256, 2709, 3464, 2120, 2872, 4012, - 3742, 3793, 2328, 2945, - 2746, 2112, 3971, 2583, 3648, 2957, 3469, 2125, 3229, 3216, 2113, 3344, 3773, 3977, 3913, 2832, - 3663, 2982, 3494, 2367, - 3259, 3908, 3972, 3251, 2474, 3162, 2475, 3187, 2412, 2605, 3566, 3590, 3547, 2590, 3847, 2372, - 3353, 3154, 3650, 3364, - 3586, 3561, 2615, 3375, 3901, 2568, 3356, 3185, 3973, 3539, 3693, 4022, 2651, 2807, 2151, 3227, - 2648, 2760, 2134, 2084, - 2422, 3536, 3678, 2481, 3385, 3884, 2067, 3076, 2064, 2752, 3082, 2665, 2574, 3659, 3843, 2378, - 3623, 2461, 3606, 2659, - 3111, 2082, 3235, 2645, 3075, 2126, 3171, 3979, 2399, 3576, 3616, 2077, 2753, 2682, 2116, 4028, - 2421, 2582, 3660, 2765, - 3086, 2115, 3224, 3221, 2122, 2458, 3362, 3629, 3999, 3849, 3157, 3653, 2790, 3094, 2090, 3258, - 2480, 3844, 3991, 3241, - 3142, 3263, 3250, 2419, 3325, 2880, 3887, 2948, 3868, 2394, 3520, 3136, 3271, 2759, 3612, 3458, - 2881, 3631, 2988, 3865, - 2417, 3553, 3620, 2403, 2813, 3609, 3168, 4018, 3501, 3876, 3169, 4031, 2844, 2841, 2223, 3319, - 3486, 3874, 3246, 3552, - 3618, 2194, 2836, 3655, 2197, 2833, 3660, 2389, 2790, 3467, 2997, 3535, 2932, 3149, 3276, 2903, - 3151, 3224, 3700, 2233, - 3657, 2782, 4011, 2913, 3294, 3897, 2878, 2200, 2954, 4002, 2386, 3302, 3468, 3659, 2940, 3227, - 3641, 2975, 4025, 2998, - 3533, 2807, 3461, 3671, 2239, 3237, 3526, 2764, 4010, 2856, 3206, 2283, 2502, 3863, 2288, 2528, - 3446, 2290, 2226, 3232, - 3702, 2213, 3892, 3200, 2224, 2529, 3445, 2219, 2496, 3927, 3233, 3701, 2277, 3956, 2934, 3297, - 3543, 3333, 2885, 3572, - 2588, 3382, 3663, 2193, 3407, 2600, 3786, 3277, 3334, 2580, 2886, 3780, 3264, 2509, 3650, 3213, - 3394, 3852, 3847, 3798, - 2585, 3381, 3790, 3529, 3915, 3851, 2577, 2882, 3532, 3911, 2511, 3654, 2895, 3779, 3531, 3343, - 3527, 3279, 3330, 2196, - 3849, 2260, 3913, 2257, 3397, 3653, 2933, 3296, 3815, 2622, 3270, 3215, 3398, 3916, 3305, 2793, - 2916, 3713, 2905, 2771, - 3394, 2779, 3570, 3291, 3852, 3557, 3712, 2908, 3320, 3437, 3568, 3563, 3990, 2927, 3310, 3870, - 2798, 3982, 2660, 3141, - 2523, 3190, 2937, 3885, 3422, 3537, 3468, 2640, 3142, 3463, 2643, 3845, 3280, 3403, 3735, 3764, - 3479, 3189, 3467, 2520, - 4013, 2914, 3772, 2537, 4023, 3842, 2517, 3465, 3151, 2653, 3138, 3540, 3745, 2808, 3976, 2768, - 3397, 3851, 2531, 2658, - 3508, 2554, 2666, 3283, 3404, 3998, 2375, 2429, 3315, 2482, 2985, 2899, 3588, 2921, 2963, 3398, - 2495, 2971, 3802, 3290, - 3916, 3594, 3825, 2907, 3299, 3424, 3794, 3827, 3968, 2926, 3313, 3934, 2990, 4001, 2724, 2333, - 2824, 2522, 2330, 2871, - 2478, 2936, 3949, 2423, 3425, 3797, 2355, 3078, 2704, 2816, 3074, 2707, 3909, 3285, 3405, 2456, - 3637, 2380, 3638, 3125, - 2854, 3087, 2525, 3981, 2459, 2896, 3628, 2547, 3974, 2469, 3906, 2512, 2320, 3077, 2829, 2717, - 2817, 2398, 3615, 3811 - ] - -private def ClayworthSurface_edge_tgt_data_chunk10 : Array (Fin 4032) := - #[ - 3000, 4000, 2960, 3407, 3915, 2552, 2722, 2360, 3126, 2555, 2730, 2406, 3282, 3392, 3983, 2363, - 2822, 3268, 3308, 3243, - 2887, 3731, 2951, 3753, 3072, 2816, 3242, 2756, 3932, 3778, 2892, 3951, 3005, 3739, 3105, 3940, - 2796, 3929, 2848, 3987, - 3758, 3821, 2849, 3984, 3164, 2459, 3161, 3249, 3768, 3806, 3104, 3318, 3938, 3156, 3648, 3153, - 3649, 2805, 3787, 2982, - 3087, 2829, 2918, 3229, 2831, 2935, 3274, 3686, 3661, 2456, 2783, 4009, 2941, 3226, 3728, 2473, - 3198, 2956, 4014, 3248, - 3788, 2453, 3656, 2910, 3295, 3961, 2974, 4024, 2999, 3085, 2806, 3781, 2467, 3703, 2490, 3078, - 3317, 2762, 3995, 3176, - 3462, 3668, 3688, 3416, 3413, 3458, 3676, 3433, 3419, 3602, 3673, 3631, 2718, 2801, 3802, 3033, - 3109, 3313, 3544, 2733, - 3805, 2615, 3036, 3118, 2865, 3547, 3710, 3450, 2864, 3561, 3025, 3766, 2769, 2693, 2833, 3028, - 3765, 2800, 3827, 3495, - 3478, 3722, 3832, 2851, 3326, 3743, 3792, 2598, 3128, 3605, 3488, 3665, 2568, 3048, 2690, 2878, - 3835, 3112, 3647, 2573, - 2699, 3541, 3756, 3092, 3312, 3281, 3131, 2814, 3427, 3501, 3641, 2560, 2700, 2787, 3555, 3716, - 2874, 3322, 2561, 2810, - 3608, 3070, 3299, 3578, 2901, 3714, 2904, 3368, 3348, 3718, 2907, 3353, 3356, 3119, 2921, 3090, - 2673, 2974, 3867, 3040, - 3249, 3630, 3196, 3967, 2989, 3864, 2542, 3041, 3621, 3167, 3954, 2938, 3390, 3947, 3023, 3509, - 2641, 3144, 2949, 3021, - 3510, 2672, 3881, 3734, 3751, 3460, 3875, 3146, 3262, 3500, 3861, 2533, 3604, 3129, 2915, 3757, - 2552, 3008, 2946, 3898, - 3643, 3096, 2516, 2955, 3487, 3961, 3248, 3640, 3150, 3217, 3624, 2686, 3137, 3345, 3744, 3093, - 2536, 2659, 2956, 3466, - 3938, 3258, 2555, 2682, 3135, 3014, 3235, 3946, 2886, 3732, 2950, 3752, 2758, 3613, 2882, 3600, - 2976, 3740, 3635, 2784, - 3610, 3411, 3737, 3428, 3817, 3049, 3376, 3560, 3834, 3035, 3377, 3548, 3774, 3643, 2657, 3545, - 3043, 3702, 2740, 2676, - 3029, 3701, 2721, 3803, 2791, 2983, 2919, 2902, 3658, 3797, 3679, 3811, 2684, 3363, 2797, 3408, - 2912, 3729, 3032, 2688, - 3800, 2689, 3390, 2946, 3434, 2647, 3540, 3692, 2748, 3345, 2711, 2625, 3386, 2925, 3640, 2989, - 3426, 2966, 2774, 3537, - 3652, 2754, 3421, 3066, 2624, 3582, 3020, 2884, 3856, 2944, 3869, 3010, 2752, 3933, 2890, 3920, - 2977, 3866, 3955, 2785, - 3930, 3038, 3440, 3891, 3053, 3441, 3497, 3347, 3112, 3514, 3364, 3100, 3899, 3963, 2656, 3097, - 3670, 2727, 2663, 3687, - 2720, 3483, 2804, 2996, 2933, 3013, 2934, 3019, 3477, 3650, 3491, 3693, 2669, 3362, 2812, 3409, - 2924, 3896, 2694, 3480, - 2690, 3357, 2945, 3450, 2646, 3092, 3680, 2733, 3344, 2710, 2626, 3370, 2911, 3960, 3004, 3427, - 2967, 2775, 3089, 3654, - 2753, 3454, 2630, 3134, 2752, 3328, 3858, 2820, 3891, 3521, 2758, 3140, 3737, 3073, 3329, 3748, - 2860, 3866, 3580, 3759, - 3180, 3740, 2785, 3996, 3132, 3889, 2784, 4008, 2972, 2969, 3103, 3875, 3551, 3769, 2964, 3399, - 2961, 3404, 3086, 3189, - 2869, 3534, 2767, 3380, 2765, 3351, 3444, 3401, 3167, 3993, 3361, 3861, 3006, 2826, 3985, 3082, - 3403, 3388, 3746, 2847, - 3988, 2870, 3528, 3080, 3190, 3415, 3530, 3146, 4030, 2984, 2944, 3340, 3922, 3143, 3955, 3782, - 2950, 2823, 3635, 3462 - ] - -private def ClayworthSurface_edge_tgt_data_chunk11 : Array (Fin 4032) := - #[ - 3335, 3602, 3197, 3930, 3633, 3808, 2877, 3610, 2977, 4003, 3488, 3953, 2976, 4017, 2780, 2777, - 3489, 3939, 3619, 3809, - 2772, 3393, 2769, 3392, 2854, 3469, 3174, 3789, 2959, 3383, 2957, 3366, 3447, 3400, 2846, 3989, - 3358, 3925, 2814, 3148, - 4019, 3456, 3405, 3389, 3605, 3166, 3994, 3191, 3791, 2871, 3471, 3430, 3776, 2828, 3986, 2792, - 3404, 3795, 3817, 3904, - 3497, 3584, 3399, 3475, 3803, 3502, 3937, 3483, 3998, 3617, 3822, 3980, 3616, 3832, 3512, 3936, - 3329, 3328, 3599, 3919, - 3447, 3430, 3383, 3336, 4013, 3422, 3792, 3973, 3590, 3341, 3453, 3472, 3979, 3917, 3597, 3366, - 3910, 3970, 3306, 3307, - 3244, 3538, 3648, 3571, 3841, 3204, 3481, 3585, 3492, 3649, 3546, 3503, 3900, 3484, 3971, 3569, - 3644, 4007, 3254, 3555, - 3615, 3313, 3513, 3871, 2887, 2892, 3598, 3854, 3210, 3700, 3293, 3671, 2932, 2889, 3977, 3231, - 3541, 3681, 4001, 3253, - 3594, 2891, 3290, 3490, 3708, 4000, 3848, 3592, 2903, 3312, 3850, 4020, 3161, 3164, 3054, 3638, - 3035, 3894, 3183, 3721, - 3589, 3049, 3845, 3172, 3909, 3027, 3764, 3958, 3317, 3248, 3279, 3024, 3745, 3851, 3308, 3751, - 3900, 3644, 3607, 3302, - 3237, 3277, 3170, 3915, 3064, 3615, 3325, 3964, 3744, 3217, 3220, 3595, 3935, 3871, 3193, 3715, - 3250, 3863, 3927, 3243, - 3392, 3567, 3548, 3840, 3100, 3714, 3119, 3393, 3545, 3108, 3873, 3097, 3983, 3556, 3757, 4021, - 3554, 3742, 3106, 3872, - 3335, 3340, 3723, 3855, 3444, 3415, 3380, 3337, 3981, 3425, 3577, 4029, 3724, 3339, 3129, 3452, - 4012, 3853, 3717, 3351, - 3846, 4006, 3304, 3751, 3431, 3292, 3670, 3734, 3326, 3414, 3607, 3289, 3687, 3636, 3225, 3095, - 3331, 3124, 3367, 3651, - 3406, 3466, 3217, 3338, 3460, 3262, 3658, 3281, 3396, 3716, 3722, 3478, 3350, 3470, 3081, 3595, - 3715, 3084, 3591, 3652, - 3459, 3083, 3342, 3079, 3220, 3332, 3726, 3593, 3395, 3662, 3228, 3495, 3240, 3284, 3402, 3596, - 3656, 3401, 3893, 3703, - 3444, 3926, 3855, 3918, 3267, 3139, 3175, 3853, 3425, 3146, 3274, 3268, 3901, 3431, 3670, 3693, - 3158, 3949, 3662, 3959, - 3878, 3150, 3140, 3278, 3678, 3912, 3395, 3884, 3303, 3286, 3424, 3934, 3207, 3261, 3314, 3655, - 3718, 3327, 3801, 3905, - 3660, 3812, 3744, 3823, 3804, 3969, 3964, 4028, 3310, 3935, 3255, 3745, 3833, 3918, 3725, 3288, - 3686, 3212, 3703, 3976, - 3291, 3709, 3978, 3301, 3914, 3230, 3678, 3810, 3999, 3727, 3912, 3238, 3712, 3982, 3334, 3601, - 3646, 3736, 3330, 3733, - 3609, 3753, 3739, 3667, 3612, 3684, 3801, 3579, 3838, 3571, 3624, 3770, 3546, 3446, 3445, 3804, - 3367, 3350, 3402, 3796, - 3423, 3793, 3664, 3360, 3604, 3816, 3690, 3436, 3576, 3373, 3747, 3682, 3396, 3536, 3677, 3549, - 3394, 3496, 3398, 3476, - 3481, 3484, 3868, 3697, 3944, 3880, 3696, 3932, 3518, 3929, 3381, 3382, 3865, 3414, 3431, 3332, - 3857, 3372, 3860, 3665, - 3437, 3902, 3706, 3359, 3924, 3683, 3710, 3424, 3473, 3338, 3921, 3966, 3767, 3879, 3587, 3720, - 3843, 3907, 3623, 3943, - 3616, 3849, 3636, 3873, 3757, 3734, 3913, 3742, 3937, 3617, 3726, 3936, 3872, 3593, 3892, 3956, - 3574, 3465, 3525, 3785, - 3508, 3828, 3489, 3531, 3495, 3580, 3779, 3808, 3488, 3809, 3551, 3459, 3543, 3815, 3862, 3657, - 3854, 3919, 3700, 3957 - ] - -private def ClayworthSurface_edge_tgt_data_chunk12 : Array (Fin 4032) := - #[ - 3681, 3848, 3687, 3870, 3917, 3965, 3680, 3948, 3885, 3651, 3895, 3942, 3659, 3735, 3671, 3606, - 3723, 3598, 3717, 3743, - 3702, 3679, 3629, 3653, 3639, 3766, 3708, 3592, 3772, 3614, 3814, 3789, 3837, 3829, 3791, 3820, - 3784, 3831, 3790, 3821, - 3806, 3798, 3787, 3799, 3781, 3807, 3836, 3830 - ] - -private def ClayworthSurface_edge_tgt_data : Array (Fin 4032) := - ClayworthSurface_edge_tgt_data_chunk0 ++ ClayworthSurface_edge_tgt_data_chunk1 ++ - ClayworthSurface_edge_tgt_data_chunk2 ++ ClayworthSurface_edge_tgt_data_chunk3 ++ - ClayworthSurface_edge_tgt_data_chunk4 ++ ClayworthSurface_edge_tgt_data_chunk5 ++ - ClayworthSurface_edge_tgt_data_chunk6 ++ ClayworthSurface_edge_tgt_data_chunk7 ++ - ClayworthSurface_edge_tgt_data_chunk8 ++ ClayworthSurface_edge_tgt_data_chunk9 ++ - ClayworthSurface_edge_tgt_data_chunk10 ++ ClayworthSurface_edge_tgt_data_chunk11 ++ - ClayworthSurface_edge_tgt_data_chunk12 - -private def ClayworthSurface_face_edge_data_chunk0 : Array (Fin 6048) := - #[ - 0, 3430, 2476, 2477, 4501, 4, 3, 3343, 2408, 2409, 4509, 2, 1, 5102, 1115, 1114, 5009, 99, 100, - 5101, - 1040, 1039, 4987, 0, 2, 4114, 3260, 3261, 4588, 39, 40, 4109, 3235, 3236, 4595, 1, 4, 3111, - 1429, 1431, - 4856, 25, 24, 3141, 1504, 1505, 4858, 5, 5, 3882, 2715, 2717, 4993, 180, 182, 3878, 2777, 2778, - 4970, 3, - 7, 3358, 1765, 1766, 4511, 17, 16, 3431, 1840, 1841, 4508, 8, 6, 3093, 3092, 3504, 4859, 20, - 18, 3138, - 3137, 3564, 4855, 7, 8, 3875, 2098, 2099, 4644, 135, 137, 3879, 2165, 2166, 4627, 6, 11, 3341, - 3340, 4008, - 3714, 12, 14, 3366, 3365, 4048, 3828, 9, 10, 5368, 2744, 2745, 5653, 119, 118, 5371, 2713, - 2714, 5658, 11, - 9, 3829, 539, 538, 5166, 29, 27, 3795, 464, 463, 5157, 10, 12, 3715, 923, 922, 4921, 133, 132, - 3718, - 848, 847, 4903, 13, 13, 4143, 3531, 3532, 4587, 32, 30, 4108, 3501, 3502, 4597, 14, 17, 5367, - 4826, 4827, - 5274, 33, 35, 5370, 4809, 4810, 5268, 15, 15, 5269, 1043, 1042, 5167, 164, 163, 5271, 1085, - 1084, 5179, 16, - 19, 5103, 731, 730, 4675, 96, 97, 5104, 656, 655, 4679, 18, 20, 4330, 4264, 4265, 4927, 45, 46, - 4325, - 4225, 4226, 4926, 19, 21, 3712, 1307, 1306, 4580, 184, 183, 3710, 1232, 1231, 4583, 22, 23, - 3102, 3024, 3025, - 3794, 27, 28, 3095, 2981, 2982, 3711, 21, 22, 4359, 2439, 2440, 4930, 37, 36, 4323, 2405, 2406, - 4934, 23, - 25, 5681, 4807, 4808, 5874, 44, 42, 5670, 4837, 4838, 5878, 26, 26, 5879, 659, 658, 5155, 166, - 167, 5877, - 701, 700, 5176, 24, 29, 5829, 2130, 2131, 5720, 157, 158, 5823, 2095, 2096, 5727, 28, 31, 5194, - 2251, 2252, - 4907, 93, 95, 5211, 2286, 2287, 4889, 30, 32, 4337, 1933, 1935, 4931, 42, 43, 4362, 2008, 2009, - 4933, 31, - 34, 4146, 1672, 1673, 4596, 38, 37, 4121, 1597, 1598, 4599, 35, 33, 5275, 851, 850, 3789, 71, - 70, 5273, - 893, 892, 3825, 34, 38, 5191, 2860, 2861, 4552, 90, 92, 5212, 2921, 2922, 4537, 36, 39, 5158, - 467, 466, - 3793, 47, 45, 5180, 509, 508, 3809, 41, 41, 5369, 2321, 2322, 5624, 115, 116, 5366, 2254, 2255, - 5633, 40, - 44, 5875, 1235, 1234, 3811, 67, 68, 5876, 1277, 1276, 3826, 43, 47, 5928, 2888, 2889, 5576, - 160, 161, 5920, - 2857, 2858, 5583, 46, 49, 4560, 1334, 1333, 3310, 89, 88, 4541, 1246, 1245, 3308, 50, 48, 5418, - 1924, 1923, - 3927, 59, 58, 5423, 1961, 1960, 3839, 49, 50, 5281, 4813, 4814, 5389, 168, 170, 5283, 4830, - 4831, 5419, 48, - 52, 5241, 479, 478, 3926, 62, 60, 5264, 566, 564, 3956, 53, 51, 4531, 2849, 2848, 3301, 188, - 187, 4536, - 2900, 2899, 3302, 52, 53, 5292, 4255, 4256, 5056, 145, 146, 5282, 4232, 4233, 5082, 51, 56, - 5811, 1625, 1624, - 3836, 63, 64, 5804, 1588, 1587, 3953, 55, 54, 3345, 2883, 2882, 5018, 154, 153, 3401, 2851, - 2850, 5017, 56, - 55, 4769, 2455, 2454, 3406, 141, 142, 4722, 2395, 2394, 3344, 54, 57, 3091, 2298, 2297, 5410, - 124, 123, 3127 - ] - -private def ClayworthSurface_face_edge_data_chunk1 : Array (Fin 6048) := - #[ - 2243, 2242, 5422, 58, 59, 5555, 3543, 3542, 3139, 108, 109, 5520, 3493, 3492, 3090, 57, 62, - 5891, 3295, 3296, - 5455, 112, 113, 5881, 3242, 3243, 5467, 61, 61, 4878, 2245, 2244, 3062, 121, 122, 4890, 2280, - 2279, 3053, 60, - 63, 4764, 950, 948, 3064, 74, 73, 4747, 863, 861, 3068, 65, 65, 5885, 4851, 4852, 5918, 106, - 107, 5883, - 4815, 4816, 5916, 64, 67, 5099, 2632, 2633, 4652, 117, 119, 5044, 2564, 2565, 4617, 66, 66, - 4616, 3276, 3277, - 5600, 136, 135, 4643, 3233, 3234, 5605, 68, 69, 4955, 4250, 4251, 5341, 181, 180, 4992, 4227, - 4228, 5272, 70, - 71, 5472, 3683, 3684, 4996, 156, 157, 5449, 3629, 3630, 4956, 69, 74, 5110, 4234, 4235, 4352, - 81, 83, 5126, - 4280, 4281, 4332, 72, 72, 4331, 3639, 3311, 3312, 191, 190, 4390, 3669, 3304, 3305, 73, 75, - 3171, 905, 904, - 4694, 110, 108, 3140, 860, 859, 4697, 77, 76, 5184, 1417, 1416, 3179, 186, 188, 5186, 1481, - 1480, 3170, 75, - 77, 5111, 4469, 4470, 5189, 85, 86, 5109, 4445, 4446, 5185, 76, 78, 4135, 2089, 2088, 4692, - 149, 147, 4106, - 2124, 2123, 4684, 79, 80, 5127, 3265, 3266, 4116, 87, 89, 5107, 3240, 3241, 4136, 78, 79, 5686, - 374, 373, - 5421, 155, 154, 5674, 287, 286, 5403, 80, 81, 4351, 2707, 2706, 5398, 139, 138, 4322, 2739, - 2738, 5400, 82, - 82, 5401, 284, 283, 5942, 125, 124, 5411, 329, 328, 5946, 83, 84, 3423, 1289, 1288, 5498, 143, - 141, 3407, - 1244, 1243, 5501, 86, 85, 5188, 1753, 1752, 3392, 120, 121, 5187, 1817, 1816, 3424, 84, 87, - 4115, 2554, 2553, - 3065, 128, 127, 4174, 2588, 2587, 3052, 88, 91, 5914, 317, 316, 5332, 137, 136, 5906, 275, 274, - 5322, 92, - 90, 4551, 4009, 4010, 5832, 167, 165, 4528, 4032, 4033, 5833, 91, 94, 5324, 272, 271, 5699, - 182, 181, 5342, - 347, 346, 5696, 95, 93, 4714, 2983, 2984, 5270, 163, 162, 4721, 3008, 3009, 5323, 94, 98, 5193, - 4441, 4442, - 5100, 100, 101, 5195, 4464, 4465, 5105, 97, 96, 4674, 1633, 1634, 5704, 118, 117, 4651, 1595, - 1596, 5706, 98, - 99, 5010, 1969, 1970, 5822, 158, 156, 4995, 1931, 1932, 5805, 101, 102, 3924, 476, 475, 5240, - 173, 171, 3936, - 521, 520, 5250, 104, 103, 4954, 2705, 2704, 3921, 126, 128, 4971, 2756, 2755, 3923, 102, 104, - 5890, 4037, 4038, - 5521, 109, 110, 5884, 4013, 4014, 5533, 103, 106, 5919, 1756, 1755, 5075, 148, 149, 5917, 1793, - 1792, 5094, 105, - 105, 5015, 1142, 1141, 4296, 176, 175, 4966, 1055, 1053, 4300, 107, 112, 5454, 2398, 2397, - 4321, 138, 140, 5489, - 2432, 2431, 4360, 111, 111, 4361, 1052, 1051, 5021, 152, 151, 4386, 1097, 1096, 5023, 113, 114, - 4558, 1763, 1764, - 5563, 185, 184, 4579, 1801, 1802, 5560, 116, 115, 4713, 3632, 3633, 4529, 165, 166, 4746, 3662, - 3663, 4559, 114, - 120, 3391, 3702, 3701, 4286, 178, 177, 3363, 3641, 3640, 4297, 122, 125, 3748, 3043, 3044, - 3104, 174, 176, 3721, - 2990, 2991, 3128, 123, 126, 3922, 1649, 1648, 4170, 130, 129, 3909, 1585, 1584, 4175, 127, 130, - 4169, 713, 712 - ] - -private def ClayworthSurface_face_edge_data_chunk2 : Array (Fin 6048) := - #[ - 5432, 146, 144, 4145, 668, 667, 5435, 131, 131, 3729, 3728, 4496, 3951, 150, 152, 3725, 3724, - 4447, 3910, 129, - 134, 3881, 3880, 4440, 3709, 183, 185, 3877, 3876, 4480, 3717, 132, 133, 4922, 1465, 1466, - 5606, 161, 159, 4909, - 1427, 1428, 5608, 134, 139, 5399, 1457, 1456, 5263, 169, 168, 5388, 1420, 1419, 5251, 140, 143, - 5278, 2988, 2989, - 4740, 172, 173, 5293, 3013, 3014, 4723, 142, 145, 5055, 3495, 3494, 4105, 147, 148, 5076, 3526, - 3525, 4144, 144, - 150, 3950, 1921, 1920, 4391, 190, 189, 3959, 1985, 1984, 4385, 151, 155, 3747, 3746, 4064, - 3364, 177, 179, 3727, - 3726, 4015, 3402, 153, 160, 5515, 2561, 2562, 4879, 162, 164, 5538, 2595, 2596, 4910, 159, 169, - 4653, 758, 757, - 4080, 179, 178, 4631, 670, 669, 4083, 170, 172, 4619, 2087, 2086, 3958, 189, 191, 4626, 2142, - 2141, 3935, 171, - 174, 3103, 2551, 2550, 4081, 187, 186, 3178, 2611, 2610, 4070, 175, 193, 2326, 2325, 2929, - 2930, 197, 195, 2220, - 2219, 2941, 2942, 194, 192, 3440, 947, 946, 4061, 292, 291, 3437, 938, 937, 4066, 193, 194, - 2701, 2700, 4179, - 3529, 231, 232, 2695, 2694, 4187, 3439, 192, 197, 2093, 1936, 1937, 3185, 216, 217, 2125, 1864, - 1865, 3187, 196, - 196, 2539, 2537, 4126, 4024, 372, 374, 2531, 2530, 4171, 4007, 195, 199, 2239, 1768, 1769, - 2944, 209, 208, 2327, - 1696, 1697, 2940, 200, 198, 2070, 2071, 3188, 3189, 212, 211, 2121, 2122, 3183, 3184, 199, 200, - 2526, 2524, 3116, - 4244, 327, 329, 2533, 2532, 3175, 4224, 198, 202, 2218, 2217, 2939, 2343, 204, 206, 2249, 2248, - 2931, 2478, 201, - 203, 5287, 4150, 4151, 5625, 310, 311, 5291, 4123, 4124, 5641, 202, 201, 2479, 437, 436, 3541, - 221, 219, 2438, - 446, 444, 3528, 203, 204, 2344, 1139, 1138, 3293, 325, 324, 2349, 1130, 1129, 3259, 205, 205, - 2736, 2737, 4177, - 4178, 223, 222, 2690, 2691, 4189, 4190, 206, 209, 5286, 5285, 5661, 5354, 225, 227, 5290, 5289, - 5656, 5347, 207, - 207, 5348, 914, 912, 3543, 356, 355, 5350, 899, 898, 3563, 208, 210, 3447, 755, 754, 4278, 289, - 288, 3450, - 746, 745, 4283, 211, 212, 2845, 2844, 3962, 3565, 237, 238, 2839, 2838, 3970, 3446, 210, 214, - 2880, 2881, 3796, - 3961, 229, 228, 2834, 2835, 3765, 3972, 215, 213, 2337, 1331, 1330, 3040, 376, 375, 2334, 1322, - 1321, 3046, 214, - 215, 2083, 2082, 3181, 2437, 219, 220, 2075, 2074, 3180, 2336, 213, 216, 5689, 5762, 5763, - 5949, 236, 235, 5690, - 5784, 5785, 5935, 218, 218, 5936, 722, 720, 3526, 358, 359, 5941, 707, 706, 3560, 217, 221, - 5887, 3146, 3147, - 5721, 349, 350, 5889, 3113, 3114, 5733, 220, 224, 3600, 3367, 3369, 3270, 285, 287, 3620, 3397, - 3399, 3237, 222, - 223, 2855, 1432, 1433, 3974, 235, 234, 2884, 1360, 1362, 3971, 224, 226, 2740, 1528, 1529, - 4188, 230, 229, 2711, - 1600, 1601, 4192, 227, 225, 5355, 1106, 1104, 2432, 263, 262, 5353, 1091, 1090, 2473, 226, 230, - 3593, 3591, 4342, - 3000, 282, 284, 3622, 3621, 4387, 2980, 228, 231, 3530, 488, 486, 2436, 239, 237, 3566, 557, - 555, 2453, 233 - ] - -private def ClayworthSurface_face_edge_data_chunk3 : Array (Fin 6048) := - #[ - 233, 5288, 3426, 3427, 5652, 307, 308, 5284, 3371, 3372, 5663, 232, 236, 5950, 1298, 1296, - 2455, 259, 260, 5951, - 1283, 1282, 2474, 234, 239, 5888, 4366, 4367, 5577, 352, 353, 5886, 4339, 4340, 5589, 238, 241, - 3010, 1171, 1170, - 2184, 281, 280, 2987, 1249, 1248, 2181, 242, 240, 5339, 1474, 1472, 2595, 251, 250, 5345, 1461, - 1460, 2489, 241, - 242, 5362, 5361, 5766, 5308, 360, 362, 5365, 5364, 5779, 5340, 240, 243, 3668, 413, 411, 2594, - 254, 252, 3703, - 395, 393, 2635, 245, 244, 2972, 2971, 2174, 2172, 379, 380, 2979, 2978, 2176, 2175, 243, 245, - 5372, 4657, 4658, - 4726, 337, 338, 5363, 4632, 4633, 4753, 244, 248, 5915, 1629, 1628, 2486, 255, 256, 5913, 1642, - 1640, 2632, 247, - 246, 2223, 4361, 4360, 4682, 346, 345, 2290, 4334, 4333, 4681, 248, 247, 5099, 3811, 3810, - 2297, 333, 334, 5053, - 3756, 3755, 2222, 246, 249, 2069, 3407, 3406, 5331, 316, 315, 2111, 3362, 3361, 5344, 250, 251, - 5538, 5167, 4683, - 2123, 300, 301, 5522, 5132, 4689, 2068, 249, 254, 5925, 4923, 4924, 5457, 304, 305, 5922, 4892, - 4893, 5476, 253, - 253, 3214, 3212, 2032, 2033, 313, 314, 3239, 3238, 2022, 2023, 252, 255, 3299, 979, 978, 2036, - 266, 265, 3231, - 1057, 1056, 2041, 257, 257, 5926, 5793, 5794, 5898, 298, 299, 5923, 5767, 5768, 5912, 256, 259, - 4769, 3953, 3954, - 4251, 309, 310, 4712, 3902, 3904, 4215, 258, 258, 4214, 4909, 4910, 5834, 328, 327, 4243, 4887, - 4888, 5837, 260, - 261, 3994, 4651, 4652, 5420, 373, 372, 4023, 4628, 4629, 5352, 262, 263, 5489, 5251, 5252, - 4033, 348, 349, 5448, - 5216, 5217, 3995, 261, 266, 3464, 3463, 4634, 2872, 273, 275, 3485, 3484, 4677, 2847, 264, 264, - 2846, 2969, 2186, - 2185, 383, 382, 2925, 3007, 2180, 2179, 265, 267, 2161, 986, 985, 5028, 302, 300, 2124, 1127, - 1126, 5031, 269, - 268, 3576, 2000, 1999, 2170, 378, 379, 3578, 2006, 2005, 2160, 267, 269, 3467, 3466, 4448, - 3588, 277, 278, 3462, - 3460, 4449, 3577, 268, 270, 2727, 3107, 3106, 5026, 341, 339, 2689, 3140, 3139, 5019, 271, 272, - 3487, 3486, 4905, - 2703, 279, 281, 3456, 3455, 4891, 2728, 270, 273, 2871, 4118, 4117, 5319, 331, 330, 2833, 4145, - 4144, 5321, 274, - 276, 2318, 1178, 1177, 5494, 335, 333, 2298, 1319, 1318, 5492, 278, 277, 3587, 1832, 1831, - 2278, 312, 313, 3584, - 1838, 1837, 2319, 276, 279, 2702, 3215, 2037, 2038, 320, 319, 2781, 3298, 2020, 2021, 280, 282, - 2999, 4968, 4969, - 5598, 359, 357, 2967, 4995, 4996, 5599, 283, 285, 3269, 4538, 4539, 5349, 355, 354, 3217, 4558, - 4559, 5402, 286, - 290, 3598, 3596, 4443, 3438, 291, 293, 3603, 3602, 4439, 3451, 288, 289, 4277, 1534, 1535, - 5702, 311, 309, 4250, - 1660, 1661, 5701, 290, 292, 4062, 1366, 1367, 5603, 350, 348, 4032, 1492, 1493, 5601, 293, 294, - 2592, 431, 429, - 3667, 365, 363, 2609, 425, 423, 3682, 296, 295, 4000, 3998, 2798, 2589, 318, 320, 4006, 4005, - 2788, 2591, 294, - 296, 5924, 5012, 5013, 5523, 301, 302, 5927, 4973, 4974, 5542, 295, 298, 5899, 1810, 1808, - 3662, 340, 341, 5905 - ] - -private def ClayworthSurface_face_edge_data_chunk4 : Array (Fin 6048) := - #[ - 1797, 1796, 3697, 297, 297, 4034, 787, 786, 2800, 368, 367, 4012, 865, 864, 2804, 299, 304, - 5456, 3759, 3758, - 2832, 330, 332, 5472, 3789, 3788, 2882, 303, 303, 2883, 935, 934, 4686, 344, 343, 2918, 794, - 792, 4688, 305, - 306, 3008, 1828, 1829, 5557, 377, 376, 3039, 1702, 1703, 5558, 308, 307, 5046, 5045, 5218, - 2968, 357, 358, 5076, - 5075, 5238, 3009, 306, 312, 2277, 4031, 2786, 2787, 370, 369, 2246, 3996, 2801, 2802, 314, 317, - 2387, 2386, 4581, - 2085, 366, 368, 2355, 2354, 4544, 2112, 315, 318, 2590, 1670, 1669, 2774, 322, 321, 2570, 1664, - 1663, 2782, 319, - 322, 2773, 602, 601, 5428, 338, 336, 2739, 743, 742, 5426, 323, 323, 2367, 2366, 4497, 2627, - 342, 344, 2361, - 2359, 4468, 2571, 321, 326, 2536, 2534, 4467, 2335, 375, 377, 2529, 2528, 4479, 2348, 324, 325, - 3294, 1870, 1871, - 5838, 353, 351, 3276, 1996, 1997, 5841, 326, 331, 5320, 1965, 1964, 3700, 361, 360, 5309, 1978, - 1976, 3683, 332, - 335, 5358, 4542, 4543, 5068, 364, 365, 5373, 4563, 4564, 5054, 334, 337, 4725, 5134, 5133, - 2688, 339, 340, 4746, - 5155, 5154, 2738, 336, 342, 2626, 1496, 1495, 2926, 382, 381, 2639, 1502, 1501, 2917, 343, 347, - 2385, 2384, 4990, - 2247, 369, 371, 2364, 2363, 4972, 2291, 345, 352, 5514, 3900, 3901, 3218, 354, 356, 5555, 3927, - 3928, 3277, 351, - 361, 4252, 595, 594, 2656, 371, 370, 4231, 673, 672, 2660, 362, 364, 4218, 3105, 2654, 2638, - 381, 383, 4223, - 3155, 2644, 2608, 363, 366, 2084, 3891, 2657, 2658, 380, 378, 2169, 3937, 2642, 2643, 367, 385, - 2169, 2170, 2932, - 2931, 388, 387, 2063, 2064, 2937, 2936, 386, 384, 3707, 944, 943, 3952, 484, 483, 3695, 875, - 873, 3937, 385, - 386, 2710, 2711, 3961, 3681, 423, 424, 2680, 2682, 3960, 3706, 384, 389, 2383, 2381, 5461, - 4258, 565, 566, 2375, - 2374, 5486, 4229, 387, 388, 2248, 1939, 1940, 3196, 410, 408, 2281, 1848, 1849, 3192, 389, 392, - 2370, 2368, 4731, - 4042, 519, 521, 2377, 2376, 4766, 4011, 390, 391, 2082, 1771, 1772, 2933, 401, 400, 2171, 1680, - 1681, 2935, 392, - 390, 2226, 2228, 3194, 3193, 404, 403, 2277, 2278, 3182, 3181, 391, 394, 2060, 2062, 2928, - 2499, 396, 398, 2092, - 2093, 2930, 2634, 393, 395, 3737, 3736, 5475, 4630, 502, 503, 3745, 3743, 5458, 4660, 394, 397, - 2781, 2782, 3963, - 3962, 415, 414, 2683, 2685, 3968, 3967, 398, 396, 2500, 1328, 1327, 3291, 517, 516, 2505, 1259, - 1257, 3298, 397, - 399, 3841, 881, 879, 3669, 548, 547, 3843, 920, 919, 3575, 400, 401, 3735, 3734, 5777, 3854, - 417, 419, 3742, - 3740, 5783, 3840, 399, 402, 3665, 752, 751, 4063, 481, 480, 3646, 683, 681, 4031, 403, 404, - 2854, 2855, 4178, - 3666, 429, 430, 2824, 2826, 4176, 3664, 402, 406, 2925, 2926, 4180, 4179, 421, 420, 2827, 2828, - 4185, 4184, 407, - 405, 2493, 1136, 1135, 3042, 568, 567, 2491, 1067, 1065, 3007, 406, 407, 2238, 2239, 3184, - 2593, 411, 412, 2229, - 2231, 3191, 2492, 405, 409, 5226, 689, 687, 3702, 550, 551, 5239, 728, 727, 3572, 408, 410, - 5116, 5115, 5761 - ] - -private def ClayworthSurface_face_edge_data_chunk5 : Array (Fin 6048) := - #[ - 5259, 427, 428, 5123, 5122, 5764, 5225, 409, 413, 5118, 4750, 4752, 4886, 541, 542, 5125, 4727, - 4729, 4898, 412, - 415, 2844, 1603, 1604, 4181, 428, 426, 2927, 1512, 1513, 4183, 416, 416, 3482, 3481, 5058, - 3252, 477, 479, 3475, - 3474, 5080, 3232, 414, 418, 2783, 1344, 1345, 3966, 422, 421, 2700, 1435, 1436, 3964, 419, 417, - 3855, 1265, 1263, - 2588, 455, 453, 3850, 1304, 1303, 2629, 418, 422, 3470, 3468, 5527, 3018, 474, 476, 3477, 3476, - 5552, 2985, 420, - 425, 3739, 3738, 5095, 4967, 499, 500, 3732, 3730, 5060, 4981, 424, 427, 5260, 1073, 1071, - 2611, 451, 452, 5267, - 1112, 1111, 2630, 426, 431, 5120, 5119, 5541, 4540, 544, 545, 5114, 5112, 5525, 4566, 430, 434, - 3867, 3865, 5795, - 3772, 552, 554, 3873, 3872, 5778, 3823, 432, 433, 3047, 961, 960, 2028, 473, 472, 2978, 1060, - 1059, 2026, 434, - 432, 3822, 1615, 1613, 2439, 443, 442, 3833, 1647, 1646, 2333, 433, 435, 2960, 2961, 2018, - 2016, 572, 571, 2986, - 2987, 2021, 2019, 436, 437, 3884, 3883, 5640, 3109, 529, 530, 3870, 3869, 5626, 3150, 435, 439, - 3430, 4987, 4071, - 2141, 525, 526, 3359, 4957, 4076, 2066, 438, 440, 5183, 1479, 1478, 2330, 447, 448, 5174, 1447, - 1445, 2476, 439, - 438, 2067, 4541, 3052, 3051, 538, 537, 2134, 4524, 3050, 3049, 440, 443, 4359, 4583, 3054, - 2279, 492, 493, 4335, - 4527, 3059, 2224, 441, 441, 2225, 4966, 4070, 3808, 508, 507, 2267, 4958, 4069, 3832, 442, 445, - 3223, 3224, 2190, - 2188, 505, 506, 3230, 3231, 2179, 2178, 444, 446, 5205, 5204, 5732, 4120, 496, 497, 5198, 5197, - 5722, 4153, 445, - 449, 5208, 5207, 5770, 5141, 490, 491, 5201, 5199, 5769, 5175, 448, 447, 3262, 1153, 1152, - 2192, 458, 457, 3238, - 1252, 1251, 2197, 449, 451, 3178, 3179, 4502, 4048, 501, 502, 3087, 3089, 4506, 3993, 450, 450, - 3992, 4121, 4930, - 4929, 520, 519, 4041, 4101, 4937, 4936, 452, 455, 4174, 4175, 4928, 4265, 540, 541, 4103, 4104, - 4939, 4213, 454, - 454, 3110, 3111, 4501, 3955, 564, 565, 3084, 3086, 4500, 3849, 453, 456, 2852, 2964, 2031, - 2029, 575, 574, 2880, - 3046, 2024, 2022, 457, 458, 3619, 3618, 5627, 2893, 465, 467, 3611, 3610, 5650, 2853, 456, 459, - 2317, 1168, 1167, - 3318, 494, 492, 2280, 1316, 1314, 3322, 461, 460, 3558, 1946, 1944, 2325, 570, 572, 3569, 2004, - 2003, 2316, 459, - 461, 3616, 3614, 4818, 3510, 469, 470, 3609, 3607, 4817, 3559, 460, 462, 2748, 4724, 3315, - 3316, 533, 531, 2687, - 4747, 3305, 3306, 463, 464, 3613, 3612, 5740, 2709, 471, 473, 3606, 3605, 5723, 2749, 462, 465, - 2892, 4612, 4285, - 3790, 523, 522, 2831, 4631, 4286, 3792, 466, 469, 3509, 1778, 1776, 2122, 504, 505, 3527, 1836, - 1835, 2163, 468, - 468, 2162, 976, 975, 4291, 527, 525, 2142, 1123, 1122, 4289, 470, 471, 2708, 3221, 2194, 2193, - 512, 511, 2736, - 3259, 2177, 2176, 472, 474, 3017, 4317, 4585, 4584, 551, 549, 2965, 4337, 4587, 4586, 475, 477, - 3251, 3351, 4861, - 3842, 547, 546, 3219, 3358, 4855, 3925, 478, 481, 3393, 1357, 1358, 4862, 503, 501, 3365, 1488, - 1490, 4865, 482 - ] - -private def ClayworthSurface_face_edge_data_chunk6 : Array (Fin 6048) := - #[ - 482, 3473, 3471, 4806, 3696, 483, 485, 3480, 3478, 4811, 3647, 480, 484, 4279, 1525, 1526, - 4592, 542, 540, 4264, - 1656, 1657, 4590, 485, 487, 4208, 4209, 2785, 2433, 510, 512, 4230, 4231, 2787, 2435, 486, 488, - 5203, 5202, 5872, - 4336, 493, 494, 5210, 5209, 5854, 4369, 487, 489, 3173, 769, 768, 2793, 560, 559, 3155, 868, - 867, 2790, 491, - 490, 5142, 1783, 1781, 3137, 532, 533, 5156, 1815, 1814, 3172, 489, 495, 2900, 931, 930, 3056, - 536, 535, 2920, - 784, 783, 3058, 497, 496, 4119, 4880, 3319, 2830, 522, 524, 4143, 4903, 3303, 2899, 495, 498, - 3024, 1824, 1825, - 4504, 569, 568, 3041, 1693, 1694, 4505, 500, 499, 3348, 3349, 4863, 2966, 549, 550, 3391, 3392, - 4854, 3025, 498, - 504, 2121, 4283, 2789, 2788, 562, 561, 2090, 4212, 2795, 2794, 506, 509, 2543, 2542, 5596, - 2241, 558, 560, 2511, - 2510, 5579, 2268, 507, 510, 2434, 1500, 1499, 2776, 514, 513, 2414, 1442, 1440, 2737, 511, 515, - 2523, 2521, 4829, - 2471, 534, 536, 2517, 2515, 4853, 2415, 513, 514, 2775, 592, 591, 4075, 530, 528, 2756, 740, - 738, 4073, 515, - 518, 2380, 2378, 4836, 2490, 567, 569, 2373, 2371, 4828, 2504, 516, 517, 3292, 1861, 1862, - 4938, 545, 543, 3260, - 1992, 1994, 4942, 518, 523, 3791, 1983, 1982, 3436, 553, 552, 3773, 1951, 1949, 3531, 524, 527, - 3861, 3860, 5578, - 3383, 556, 557, 3886, 3885, 5588, 3360, 526, 529, 3108, 4615, 4292, 2686, 531, 532, 3138, 4679, - 4287, 2755, 528, - 534, 2470, 1609, 1608, 2881, 574, 573, 2483, 1668, 1667, 2919, 535, 539, 2541, 2540, 5864, - 2091, 561, 563, 2520, - 2519, 5853, 2135, 537, 544, 4318, 4320, 4593, 3220, 546, 548, 4390, 4391, 4589, 3261, 543, 553, - 4067, 577, 576, - 2649, 563, 562, 4005, 676, 675, 2646, 554, 556, 3382, 3988, 2641, 2482, 573, 575, 3346, 4012, - 2643, 2452, 555, - 558, 2240, 3990, 2651, 2650, 571, 570, 2326, 4066, 2645, 2644, 559, 577, 1677, 1676, 3713, - 4393, 581, 579, 1560, - 1559, 3768, 4404, 578, 578, 3489, 3488, 4195, 2742, 615, 616, 3483, 3482, 4183, 2648, 576, 581, - 1425, 1423, 2566, - 4661, 600, 602, 1459, 1458, 2497, 4654, 580, 580, 1905, 1906, 5385, 4026, 756, 758, 1898, 1899, - 5351, 4047, 579, - 584, 1893, 1892, 3905, 4259, 711, 713, 1901, 1900, 3848, 4253, 582, 583, 1579, 1578, 2410, - 4406, 593, 592, 1679, - 1678, 2342, 4403, 584, 582, 1398, 1399, 4775, 4774, 596, 595, 1454, 1455, 4772, 4771, 583, 585, - 1843, 821, 819, - 2754, 604, 603, 1799, 830, 828, 2741, 586, 587, 1558, 1557, 4402, 1699, 588, 590, 1593, 1592, - 4395, 1842, 585, - 586, 5153, 5152, 4605, 4606, 695, 694, 5122, 5121, 4602, 4603, 587, 589, 3523, 3524, 4199, - 4200, 608, 607, 3478, - 3479, 4196, 4197, 590, 588, 1700, 1034, 1033, 4157, 709, 708, 1705, 1025, 1023, 4147, 589, 593, - 5128, 5129, 4601, - 4148, 609, 610, 5124, 5125, 4592, 4074, 591, 596, 3589, 3590, 3980, 2779, 621, 622, 3599, 3600, - 3971, 2655, 594, - 598, 3583, 3582, 3716, 3976, 614, 612, 3602, 3601, 3817, 3985, 599, 597, 1692, 1241, 1240, - 4494, 760, 759, 1690 - ] - -private def ClayworthSurface_face_edge_data_chunk7 : Array (Fin 6048) := - #[ - 1202, 1201, 4498, 598, 599, 1412, 1411, 4570, 1798, 603, 605, 1403, 1401, 4561, 1691, 597, 600, - 4662, 5892, 5610, - 5473, 619, 618, 4663, 5889, 5603, 5427, 601, 604, 5792, 3853, 3852, 5613, 734, 733, 5784, 3948, - 3947, 5611, 605, - 606, 2838, 2837, 3418, 4833, 671, 670, 2831, 2830, 3320, 4811, 607, 608, 3595, 2100, 2101, - 3986, 618, 620, 3584, - 2033, 2034, 3970, 606, 611, 3527, 2188, 2189, 4176, 613, 614, 3499, 2256, 2257, 4201, 610, 609, - 4149, 1070, 1068, - 1793, 647, 646, 4173, 1037, 1035, 1836, 611, 613, 2826, 2825, 5091, 4456, 666, 668, 2833, 2832, - 5029, 4439, 612, - 617, 5156, 3316, 3314, 4585, 691, 692, 5138, 3374, 3373, 4607, 616, 615, 2743, 872, 870, 1797, - 623, 621, 2780, - 941, 939, 1815, 617, 619, 5474, 1295, 1293, 1817, 644, 643, 5488, 1238, 1236, 1838, 620, 623, - 5905, 5026, 5025, - 4969, 736, 737, 5895, 5063, 5061, 4994, 622, 626, 4088, 4089, 6019, 5145, 744, 746, 4112, 4113, - 6025, 5131, 624, - 625, 4466, 1174, 1173, 1524, 665, 664, 4444, 1336, 1335, 1522, 626, 624, 5130, 2137, 1968, - 1969, 635, 634, 5181, - 2126, 1854, 1856, 625, 627, 2898, 796, 795, 1967, 638, 636, 2885, 779, 777, 2011, 629, 628, - 4431, 4430, 1514, - 1512, 763, 764, 4438, 4437, 1517, 1515, 627, 629, 4097, 4096, 5688, 5254, 721, 722, 4111, 4110, - 5675, 5224, 628, - 630, 1562, 5015, 5094, 5261, 730, 729, 1638, 5007, 5092, 5228, 632, 631, 4362, 3826, 3827, - 1648, 717, 718, 4347, - 3820, 3821, 1563, 630, 632, 5765, 2282, 1851, 1852, 639, 640, 5754, 2293, 2007, 2008, 631, 635, - 5010, 5009, 5262, - 1456, 684, 685, 5006, 5005, 5236, 1396, 633, 633, 1397, 3423, 3424, 5177, 700, 699, 1443, 3419, - 3420, 5182, 634, - 638, 5445, 5444, 5830, 5947, 688, 689, 5451, 5450, 5813, 5934, 637, 637, 4795, 3403, 1361, - 1360, 697, 698, 4812, - 3394, 1351, 1350, 636, 641, 5439, 5438, 5985, 5900, 682, 683, 5453, 5452, 5990, 5893, 640, 639, - 4363, 973, 972, - 1364, 650, 649, 4373, 1093, 1092, 1369, 641, 642, 4262, 5823, 5822, 5431, 712, 711, 4260, 5810, - 5809, 5487, 643, - 644, 5187, 3062, 3061, 4226, 693, 695, 5192, 3118, 3117, 4261, 642, 645, 4039, 5194, 4933, - 4079, 757, 756, 4025, - 5190, 4943, 4172, 646, 647, 5917, 4692, 4691, 4010, 732, 734, 5921, 4734, 4733, 4040, 645, 648, - 3644, 4428, 1527, - 1525, 767, 766, 3570, 4463, 1520, 1519, 649, 650, 2676, 2675, 5676, 3686, 657, 659, 2697, 2696, - 5697, 3645, 648, - 651, 1500, 995, 993, 4365, 686, 684, 1457, 1031, 1030, 4389, 653, 652, 2915, 2624, 2625, 1509, - 762, 763, 2927, - 2630, 2631, 1499, 651, 653, 2679, 2677, 2992, 2867, 661, 662, 2673, 2671, 2993, 2916, 652, 656, - 2699, 2698, 5820, - 3491, 663, 665, 2667, 2666, 5812, 3515, 654, 654, 3514, 3933, 3932, 4366, 725, 723, 3477, 3924, - 3923, 4287, 655, - 657, 3685, 5408, 5407, 5119, 715, 714, 3622, 5401, 5400, 5154, 658, 661, 2866, 2468, 2469, - 1623, 696, 697, 2884, - 2474, 2475, 1669, 660, 660, 1670, 1196, 1195, 5540, 719, 717, 1649, 1220, 1219, 5554, 662, 663, - 3490, 3151, 1365 - ] - -private def ClayworthSurface_face_edge_data_chunk8 : Array (Fin 6048) := - #[ - 1366, 704, 703, 3567, 3142, 1348, 1349, 664, 666, 4455, 5514, 5577, 5425, 742, 741, 4426, 5515, - 5576, 5434, 667, - 671, 4319, 4318, 4540, 4072, 738, 739, 4324, 4323, 4537, 4084, 669, 673, 4230, 2193, 2195, - 5764, 694, 693, 4225, - 2309, 2310, 5780, 674, 674, 2829, 2827, 2985, 2647, 675, 677, 2836, 2834, 2980, 2661, 672, 676, - 4006, 2038, 2039, - 5785, 733, 732, 4009, 2153, 2154, 5756, 677, 680, 5447, 5446, 5580, 5532, 685, 686, 5443, 5442, - 5581, 5551, 679, - 678, 1965, 815, 813, 2924, 749, 747, 1983, 809, 807, 2887, 680, 679, 4022, 4021, 3661, 1962, - 702, 704, 4062, - 4061, 3699, 1964, 678, 682, 5901, 2448, 2446, 2921, 724, 725, 5888, 2436, 2435, 2786, 681, 688, - 5948, 3804, 3802, - 3621, 714, 716, 5928, 3793, 3792, 3701, 687, 690, 4464, 2466, 2465, 4946, 761, 760, 4493, 2347, - 2346, 4947, 692, - 691, 4317, 4316, 4762, 4427, 741, 743, 4322, 4321, 4695, 4465, 690, 696, 1622, 4034, 3697, - 3698, 754, 753, 1589, - 4018, 3648, 3650, 698, 701, 1745, 1744, 4582, 1414, 750, 752, 1711, 1709, 4562, 1444, 699, 702, - 1963, 2318, 2319, - 3561, 706, 705, 1942, 2312, 2313, 3568, 703, 707, 1723, 1721, 3045, 2002, 726, 728, 1717, 1715, - 3012, 1943, 705, - 709, 4850, 2503, 2502, 5844, 737, 735, 4837, 2622, 2621, 5843, 710, 710, 1904, 1902, 3011, - 1689, 759, 761, 1897, - 1895, 3023, 1704, 708, 715, 5120, 2592, 2591, 2789, 745, 744, 5146, 2604, 2602, 2888, 716, 719, - 4095, 4093, 4546, - 4384, 748, 749, 4099, 4098, 4545, 4348, 718, 721, 5253, 5329, 5328, 3476, 723, 724, 5212, 5322, - 5321, 3525, 720, - 726, 2001, 2155, 2157, 3571, 766, 765, 2015, 2162, 2163, 3573, 727, 731, 1742, 1741, 5597, - 1590, 753, 755, 1720, - 1719, 5587, 1639, 729, 736, 4968, 3164, 3165, 4797, 739, 740, 4971, 3065, 3066, 4838, 735, 748, - 4274, 3949, 3444, - 2014, 765, 767, 4279, 3952, 3435, 1982, 747, 750, 1413, 3167, 3166, 3449, 764, 762, 1508, 3173, - 3172, 3434, 751, - 769, 1508, 1509, 4394, 4395, 773, 771, 1391, 1392, 4399, 4400, 770, 770, 3498, 3499, 3976, - 2886, 807, 808, 3469, - 3470, 3966, 2792, 768, 773, 1592, 1591, 2568, 4781, 793, 794, 1627, 1626, 2484, 4778, 772, 772, - 1737, 1738, 5751, - 4245, 949, 950, 1730, 1731, 5748, 4263, 771, 775, 1411, 1410, 2412, 4396, 785, 784, 1511, 1510, - 2328, 4398, 776, - 774, 1566, 1567, 4779, 4553, 788, 787, 1622, 1623, 4770, 4570, 775, 776, 1725, 1724, 5214, - 4044, 903, 905, 1733, - 1732, 5265, 4035, 774, 779, 3786, 3787, 4868, 4867, 886, 887, 3740, 3741, 4874, 4873, 778, 778, - 1389, 1390, 4392, - 1867, 780, 782, 1424, 1425, 4393, 2010, 777, 781, 3567, 3568, 3981, 3980, 800, 798, 3471, 3472, - 3978, 3977, 782, - 780, 1868, 1226, 1225, 3154, 901, 900, 1873, 1217, 1215, 3142, 781, 785, 3750, 3751, 4871, - 3143, 801, 802, 3744, - 3745, 4862, 3057, 783, 788, 3594, 3595, 4200, 2923, 813, 814, 3592, 3593, 4188, 2799, 786, 791, - 1580, 1579, 4771, - 1966, 795, 797, 1570, 1569, 4777, 1859, 789, 790, 3570, 3571, 4194, 4195, 806, 804, 3596, 3597, - 4203, 4204, 791 - ] - -private def ClayworthSurface_face_edge_data_chunk9 : Array (Fin 6048) := - #[ - 789, 1860, 1049, 1048, 4495, 952, 951, 1858, 1010, 1008, 4463, 790, 793, 4899, 5295, 5708, - 4748, 810, 811, 4906, - 5291, 5702, 4687, 792, 796, 5318, 5256, 5258, 5711, 926, 925, 5289, 5242, 5243, 5709, 797, 800, - 3590, 2259, 2260, - 4206, 811, 812, 3578, 2172, 2173, 4187, 799, 799, 2694, 2693, 4379, 4822, 862, 863, 2687, 2686, - 4293, 4806, 798, - 801, 3144, 1262, 1260, 1961, 839, 837, 3177, 1229, 1227, 2004, 803, 803, 3569, 2016, 2017, - 3960, 805, 806, 3488, - 2103, 2104, 3982, 802, 805, 2682, 2681, 5548, 4474, 858, 860, 2689, 2688, 5495, 4443, 804, 809, - 3791, 3790, 4284, - 4861, 883, 884, 3764, 3762, 4345, 4876, 808, 810, 4749, 1103, 1101, 1985, 836, 835, 4768, 1046, - 1044, 2006, 812, - 815, 5320, 5319, 5490, 4539, 927, 929, 5303, 5302, 5530, 4565, 814, 817, 4499, 982, 981, 1356, - 857, 856, 4437, - 1144, 1143, 1354, 818, 816, 3752, 2269, 1800, 1801, 827, 826, 3831, 2296, 1686, 1688, 817, 818, - 3073, 3072, 6029, - 3777, 936, 938, 3101, 3100, 6024, 3753, 816, 821, 3081, 3080, 5969, 3931, 913, 914, 3098, 3097, - 5962, 3895, 820, - 820, 3894, 4420, 1346, 1344, 955, 956, 3920, 4444, 1349, 1347, 819, 822, 1394, 4560, 3839, - 3838, 922, 921, 1470, - 4547, 3845, 3844, 824, 823, 3431, 5179, 5178, 1480, 909, 910, 3421, 5173, 5171, 1395, 822, 824, - 5343, 2140, 1683, - 1684, 831, 832, 5296, 2114, 1839, 1840, 823, 825, 1565, 4386, 4385, 3824, 892, 891, 1611, 4350, - 4349, 3830, 826, - 827, 4579, 4580, 3837, 1624, 876, 877, 4549, 4550, 3835, 1564, 825, 829, 4800, 4353, 1530, - 1528, 889, 890, 4805, - 4373, 1519, 1518, 828, 830, 4709, 4708, 6006, 5406, 880, 881, 4717, 4716, 6002, 5379, 829, 831, - 3405, 1165, 1164, - 1532, 842, 840, 3394, 1285, 1284, 1537, 833, 833, 4702, 4701, 6021, 5310, 874, 875, 4720, 4719, - 6020, 5297, 832, - 836, 3959, 3958, 4078, 4008, 885, 886, 3888, 3887, 4127, 4045, 834, 834, 4046, 5366, 5560, - 4693, 904, 903, 4043, - 5381, 5567, 4767, 835, 839, 5423, 5422, 5430, 4228, 924, 926, 5375, 5374, 5462, 4257, 838, 838, - 3874, 3875, 4508, - 3063, 948, 949, 3896, 3898, 4518, 3176, 837, 842, 2820, 2819, 5963, 3659, 849, 851, 2841, 2840, - 5974, 3643, 841, - 841, 3642, 4422, 1359, 1357, 958, 959, 3583, 4498, 1352, 1351, 840, 843, 1668, 1186, 1185, - 3429, 878, 876, 1625, - 1223, 1222, 3396, 845, 844, 2771, 2574, 2572, 1676, 954, 955, 2783, 2629, 2628, 1667, 843, 845, - 2823, 2821, 3245, - 2723, 853, 854, 2817, 2815, 3244, 2772, 844, 846, 3535, 5255, 3425, 3426, 917, 915, 3475, 5241, - 3302, 3303, 847, - 848, 2843, 2842, 6010, 3497, 855, 857, 2811, 2810, 6003, 3536, 846, 849, 3658, 5668, 5096, - 3738, 907, 906, 3620, - 5674, 5018, 3788, 850, 853, 2722, 2418, 2416, 1455, 888, 889, 2740, 2473, 2472, 1501, 852, 852, - 1502, 1004, 1003, - 5098, 911, 909, 1481, 1028, 1027, 5078, 854, 855, 3496, 4154, 1533, 1534, 896, 895, 3523, 4147, - 1516, 1517, 856, - 858, 4473, 5046, 5652, 4685, 934, 933, 4424, 5044, 5653, 4696, 859, 862, 3347, 3348, 4967, - 3055, 930, 932, 3342 - ] - -private def ClayworthSurface_face_edge_data_chunk10 : Array (Fin 6048) := - #[ - 3343, 4970, 3067, 861, 866, 2684, 2683, 3232, 2791, 867, 869, 2692, 2690, 3237, 2805, 864, 865, - 3346, 2029, 2030, - 5783, 887, 885, 3340, 2150, 2151, 5774, 866, 868, 4223, 2185, 2187, 5656, 925, 924, 4227, 2306, - 2307, 5654, 869, - 872, 4711, 4710, 5858, 5093, 877, 878, 4707, 4706, 5856, 5067, 871, 871, 4241, 4242, 3705, - 1794, 894, 896, 4277, - 4278, 3698, 1796, 870, 874, 5311, 2423, 2421, 2777, 916, 917, 5288, 2453, 2452, 2642, 873, 880, - 5405, 5163, 3398, - 3397, 906, 908, 5368, 5157, 3306, 3304, 879, 882, 3876, 2462, 2463, 4522, 953, 952, 3957, 2338, - 2340, 4513, 884, - 883, 3351, 3350, 5483, 4425, 933, 935, 3345, 3344, 5433, 4480, 882, 888, 1454, 4252, 3700, - 3699, 946, 945, 1421, - 4238, 3693, 3692, 890, 893, 1913, 1912, 4988, 1582, 942, 944, 1879, 1877, 5014, 1612, 891, 894, - 1795, 2161, 2160, - 3562, 898, 897, 1774, 2110, 2109, 3524, 895, 899, 1891, 1889, 3264, 1834, 918, 920, 1885, 1883, - 3297, 1775, 897, - 902, 1736, 1734, 3275, 1857, 951, 953, 1729, 1727, 3263, 1872, 900, 901, 4849, 2494, 2496, - 5564, 929, 928, 4826, - 2618, 2619, 5570, 902, 907, 3739, 2609, 2608, 2645, 937, 936, 3778, 2579, 2577, 2744, 908, 911, - 3079, 3077, 4976, - 3380, 940, 941, 3083, 3082, 4978, 3422, 910, 913, 3930, 5669, 5079, 3474, 915, 916, 3878, 5699, - 5019, 3542, 912, - 918, 1833, 2265, 2264, 3582, 959, 957, 1847, 2317, 2316, 3574, 919, 923, 1910, 1909, 5862, - 1422, 945, 947, 1888, - 1887, 5873, 1471, 921, 927, 4538, 4165, 4166, 4798, 932, 931, 4536, 4081, 4082, 4827, 928, 940, - 3379, 4057, 3433, - 1846, 957, 958, 3393, 4063, 3434, 1814, 939, 942, 1581, 4059, 3442, 3441, 956, 954, 1677, 4067, - 3436, 3435, 943, - 961, 2012, 2013, 3708, 4408, 965, 963, 1895, 1896, 3770, 4416, 962, 962, 2389, 2390, 3204, - 2127, 999, 1000, 2382, - 2383, 3192, 2027, 960, 965, 1760, 1759, 3626, 4792, 984, 986, 1795, 1794, 3704, 4777, 964, 964, - 1569, 1571, 5745, - 3002, 1140, 1142, 1562, 1563, 5742, 3023, 963, 967, 1915, 1914, 3505, 4418, 977, 976, 2015, - 2014, 3445, 4402, 968, - 966, 1734, 1735, 4790, 4645, 980, 979, 1790, 1791, 4783, 4664, 967, 968, 1557, 1556, 3907, - 3254, 1095, 1097, 1565, - 1564, 3834, 3275, 966, 971, 5181, 5182, 4944, 4943, 1078, 1079, 5115, 5117, 4950, 4949, 970, - 969, 1507, 1205, 1203, - 2140, 988, 987, 1463, 1214, 1212, 2126, 971, 970, 1894, 1893, 4403, 1363, 972, 974, 1929, 1928, - 4413, 1506, 969, - 973, 2429, 2430, 3199, 3198, 992, 990, 2378, 2379, 3208, 3207, 974, 977, 5137, 5138, 4947, - 4364, 993, 994, 5113, - 5114, 4938, 4290, 975, 980, 2558, 2559, 2952, 2167, 1005, 1006, 2525, 2526, 2940, 2035, 978, - 982, 2637, 2636, 2946, - 2947, 998, 996, 2528, 2527, 2955, 2956, 983, 983, 1748, 1747, 4787, 1462, 987, 989, 1739, 1737, - 4778, 1355, 981, - 984, 4982, 5303, 5564, 5097, 1003, 1002, 4991, 5284, 5558, 5027, 985, 988, 5343, 3844, 3846, - 5567, 1118, 1117, 5285, - 3944, 3945, 5565, 989, 991, 2217, 2216, 3162, 4823, 1054, 1055, 2225, 2224, 3060, 4836, 990, - 992, 2546, 2544, 2718 - ] - -private def ClayworthSurface_face_edge_data_chunk11 : Array (Fin 6048) := - #[ - 2958, 1002, 1004, 2639, 2638, 2653, 2939, 991, 995, 2434, 2433, 2784, 3191, 997, 998, 2403, - 2401, 2864, 3210, 994, - 997, 2231, 2230, 5482, 4458, 1050, 1052, 2223, 2222, 5429, 4479, 996, 999, 2128, 1256, 1254, - 1461, 1007, 1005, 2168, - 1325, 1323, 1479, 1001, 1001, 5183, 3049, 3048, 4937, 1075, 1076, 5129, 3121, 3120, 4952, 1000, - 1007, 5345, 5344, 5424, - 4629, 1119, 1121, 5295, 5294, 5464, 4659, 1006, 1009, 5135, 2750, 1632, 1633, 1018, 1019, 5153, - 2741, 1518, 1520, 1008, - 1010, 4304, 4305, 6045, 5162, 1128, 1130, 4328, 4329, 6046, 5136, 1009, 1013, 4313, 4312, 5964, - 5235, 1105, 1106, 4327, - 4326, 5965, 5223, 1012, 1011, 2282, 1180, 1179, 1631, 1022, 1020, 2296, 1162, 1161, 1675, 1013, - 1012, 4452, 4453, 1850, - 1848, 1147, 1148, 4493, 4494, 1853, 1851, 1011, 1014, 1898, 4653, 5263, 5262, 1114, 1113, 1974, - 4639, 5257, 5256, 1016, - 1015, 4146, 3825, 3824, 1984, 1101, 1102, 4131, 3776, 3774, 1899, 1014, 1016, 5318, 2898, 1515, - 1516, 1023, 1024, 5300, - 2874, 1671, 1672, 1015, 1017, 1733, 3171, 3170, 5178, 1084, 1083, 1779, 3126, 3125, 5152, 1019, - 1018, 4674, 4675, 5261, - 1792, 1068, 1069, 4641, 4642, 5266, 1732, 1017, 1021, 4820, 3130, 1698, 1696, 1081, 1082, 4849, - 3154, 1687, 1686, 1020, - 1022, 5035, 5034, 5815, 5391, 1072, 1073, 5052, 5050, 5814, 5376, 1021, 1025, 5040, 5041, 6039, - 5327, 1066, 1067, 5048, - 5049, 6040, 5301, 1024, 1028, 5186, 3301, 3300, 3236, 1077, 1078, 5190, 3377, 3376, 3267, 1026, - 1026, 3268, 5371, 5704, - 5022, 1096, 1095, 3253, 5375, 5711, 5077, 1027, 1029, 3015, 5191, 4596, 4295, 1141, 1140, 3001, - 5192, 4606, 4388, 1030, - 1031, 5399, 5398, 5496, 2984, 1116, 1118, 5381, 5380, 5528, 3016, 1029, 1032, 2555, 4450, 1863, - 1861, 1151, 1150, 2585, - 4466, 1856, 1855, 1033, 1034, 2056, 2055, 5968, 2601, 1041, 1043, 2078, 2077, 5975, 2556, 1032, - 1036, 2262, 3585, 3586, - 1845, 1146, 1147, 2281, 3572, 3573, 1835, 1035, 1037, 2059, 2058, 4016, 2315, 1045, 1046, 2053, - 2051, 4017, 2263, 1036, - 1038, 2419, 3914, 3913, 4150, 1109, 1107, 2377, 3936, 3935, 4071, 1039, 1040, 2081, 2080, 5819, - 2392, 1047, 1049, 2047, - 2045, 5831, 2420, 1038, 1041, 2600, 5679, 4751, 4750, 1099, 1098, 2531, 5686, 4684, 4683, 1042, - 1045, 2314, 3557, 3555, - 1959, 1080, 1081, 2327, 3563, 3562, 2005, 1044, 1047, 2391, 3384, 1701, 1702, 1088, 1087, 2480, - 3405, 1684, 1685, 1048, - 1050, 4457, 4712, 5625, 5030, 1126, 1125, 4471, 4713, 5624, 5020, 1051, 1054, 4102, 4103, 4886, - 4288, 1122, 1124, 4107, - 4108, 4889, 4299, 1053, 1058, 2227, 2226, 4011, 2025, 1059, 1061, 2221, 2220, 4007, 2040, 1056, - 1057, 3230, 2794, 2796, - 5761, 1079, 1077, 3235, 2907, 2908, 5773, 1058, 1060, 2979, 2658, 2659, 5661, 1117, 1116, 2983, - 2766, 2767, 5665, 1061, - 1062, 1629, 1199, 1197, 2284, 1133, 1131, 1647, 1193, 1191, 2324, 1064, 1063, 2996, 2998, 2485, - 1626, 1086, 1088, 3039, - 3040, 2487, 1628, 1062, 1064, 5039, 5038, 5629, 4738, 1069, 1070, 5043, 5042, 5631, 4763, 1063, - 1066, 5326, 3538, 2285, - 2286, 1108, 1109, 5287, 3528, 2178, 2180, 1065, 1072, 5390, 3781, 3779, 2530, 1098, 1100, 5369, - 3809, 3808, 2610, 1071 - ] - -private def ClayworthSurface_face_edge_data_chunk12 : Array (Fin 6048) := - #[ - 1074, 4441, 3554, 3553, 4609, 1145, 1144, 4438, 3449, 3448, 4601, 1076, 1075, 4101, 4100, 5550, - 4472, 1125, 1127, 4106, - 4105, 5499, 4442, 1074, 1080, 1958, 3010, 2489, 2488, 1138, 1137, 1925, 2994, 2495, 2494, 1082, - 1085, 1409, 1408, 4904, - 1750, 1134, 1136, 1375, 1373, 4925, 1780, 1083, 1086, 1627, 2918, 2917, 2472, 1090, 1089, 1606, - 2870, 2869, 2481, 1087, - 1091, 1387, 1386, 4065, 1666, 1110, 1112, 1381, 1379, 4036, 1607, 1089, 1093, 4805, 3692, 3694, - 5708, 1121, 1120, 4809, - 3671, 3672, 5713, 1094, 1094, 1568, 1566, 4035, 1353, 1143, 1145, 1561, 1560, 4047, 1368, 1092, - 1099, 5118, 3668, 2175, - 2177, 1129, 1128, 5161, 3688, 2320, 2321, 1100, 1103, 4311, 4309, 4894, 4168, 1132, 1133, 4315, - 4314, 4895, 4132, 1102, - 1105, 5234, 5680, 4765, 2376, 1107, 1108, 5211, 5696, 4682, 2431, 1104, 1110, 1665, 2768, 2769, - 2586, 1150, 1149, 1679, - 2775, 2776, 2631, 1111, 1115, 1406, 1405, 5651, 1926, 1137, 1139, 1384, 1383, 5638, 1975, 1113, - 1119, 4628, 3414, 3416, - 4832, 1124, 1123, 4626, 3312, 3313, 4810, 1120, 1132, 3249, 3248, 2341, 1678, 1149, 1151, 3292, - 3291, 2332, 1646, 1131, - 1134, 1749, 3246, 2345, 2347, 1148, 1146, 1844, 3262, 2330, 2331, 1135, 1153, 1844, 1845, 4412, - 4413, 1157, 1155, 1727, - 1728, 4409, 4410, 1154, 1154, 2402, 2403, 2947, 2323, 1191, 1192, 2369, 2370, 2935, 2191, 1152, - 1157, 1928, 1927, 3634, - 4567, 1176, 1178, 1963, 1962, 3660, 4561, 1156, 1156, 1401, 1402, 5387, 3272, 1332, 1334, 1394, - 1395, 5346, 3263, 1155, - 1159, 1747, 1746, 3507, 4414, 1169, 1168, 1847, 1846, 3432, 4392, 1160, 1158, 1902, 1903, 4785, - 4784, 1172, 1171, 1958, - 1959, 4788, 4787, 1159, 1160, 1390, 1388, 5219, 3019, 1287, 1289, 1397, 1396, 5237, 3011, 1158, - 1162, 3831, 3830, 4517, - 4518, 1271, 1270, 3734, 3733, 4514, 4515, 1163, 1163, 1726, 1725, 4398, 1531, 1164, 1166, 1761, - 1760, 4408, 1674, 1161, - 1165, 2480, 2481, 2951, 2952, 1184, 1183, 2371, 2372, 2948, 2949, 1166, 1169, 3763, 3764, 4513, - 3428, 1185, 1187, 3731, - 3732, 4505, 3317, 1167, 1172, 2545, 2546, 3198, 2283, 1197, 1198, 2538, 2539, 3187, 2183, 1170, - 1175, 1916, 1915, 4664, - 1630, 1179, 1181, 1907, 1905, 4654, 1523, 1173, 1174, 2585, 2586, 3203, 3204, 1189, 1188, 2534, - 2535, 3200, 3201, 1175, - 1176, 4568, 5895, 5844, 5539, 1195, 1194, 4569, 5886, 5838, 5493, 1177, 1180, 5765, 5228, 5227, - 5809, 1310, 1309, 5762, - 5249, 5248, 5821, 1181, 1184, 2559, 2557, 2862, 3205, 1194, 1196, 2590, 2589, 2797, 3180, 1182, - 1182, 2074, 2073, 4163, - 4834, 1247, 1246, 2067, 2066, 4077, 4828, 1183, 1186, 2483, 2482, 2640, 2928, 1190, 1189, 2390, - 2388, 2720, 2953, 1187, - 1190, 2062, 2061, 4760, 4476, 1242, 1244, 2069, 2068, 4690, 4467, 1188, 1193, 3833, 3832, 4068, - 4500, 1267, 1268, 3751, - 3749, 4129, 4519, 1192, 1199, 5915, 4681, 4680, 4888, 1312, 1313, 5892, 4737, 4736, 4908, 1198, - 1200, 3760, 2895, 1464, - 1465, 1211, 1210, 3786, 2885, 1350, 1352, 1201, 1202, 3335, 3336, 6035, 3801, 1320, 1322, 3353, - 3354, 6032, 3761, 1200, - 1204, 3889, 4489, 1682, 1680, 1339, 1340, 3957, 4495, 1685, 1683, 1203, 1205, 3328, 3327, 5677, - 3912, 1297, 1298, 3357 - ] - -private def ClayworthSurface_face_edge_data_chunk13 : Array (Fin 6048) := - #[ - 3356, 5678, 3890, 1204, 1206, 1730, 4764, 3836, 3837, 1306, 1305, 1806, 4739, 3851, 3853, 1208, - 1207, 3141, 5176, 5177, - 1816, 1293, 1294, 3123, 5143, 5144, 1731, 1206, 1208, 5792, 2754, 1347, 1348, 1215, 1216, 5790, - 2730, 1503, 1504, 1207, - 1209, 1901, 4169, 4170, 3827, 1276, 1275, 1947, 4133, 4134, 3787, 1210, 1211, 4922, 4921, 3838, - 1960, 1260, 1261, 4919, - 4918, 3847, 1900, 1209, 1214, 5511, 5510, 5988, 5940, 1264, 1265, 5517, 5516, 5982, 5933, 1213, - 1213, 4847, 4137, 1866, - 1864, 1273, 1274, 4850, 4157, 1855, 1854, 1212, 1217, 5504, 5505, 5987, 5907, 1258, 1259, 5518, - 5519, 5989, 5894, 1216, - 1220, 3922, 3921, 4294, 2982, 1269, 1271, 3898, 3897, 4343, 3021, 1218, 1218, 3022, 5920, 5606, - 5497, 1288, 1287, 3020, - 5921, 5613, 5553, 1219, 1221, 3273, 3882, 4858, 3309, 1333, 1332, 3271, 3888, 4867, 3395, 1222, - 1223, 5811, 5017, 5016, - 3234, 1308, 1310, 5810, 5066, 5064, 3274, 1221, 1224, 2547, 4491, 1695, 1693, 1343, 1342, 2637, - 4499, 1688, 1687, 1225, - 1226, 2203, 2202, 5687, 2576, 1233, 1235, 2237, 2236, 5698, 2548, 1224, 1228, 2158, 3581, 3579, - 2013, 1338, 1339, 2171, - 3575, 3574, 2003, 1227, 1229, 2209, 2207, 4236, 2107, 1237, 1238, 2215, 2213, 4237, 2159, 1228, - 1230, 2444, 5233, 3145, - 3146, 1301, 1299, 2375, 5264, 3053, 3054, 1231, 1232, 2233, 2234, 6011, 2400, 1239, 1241, 2211, - 2212, 6005, 2445, 1230, - 1233, 2575, 5393, 5392, 3736, 1291, 1290, 2533, 5411, 5410, 3810, 1234, 1237, 2106, 3512, 3513, - 1791, 1272, 1273, 2125, - 3560, 3561, 1837, 1236, 1239, 2399, 4370, 1869, 1870, 1280, 1279, 2429, 4363, 1852, 1853, 1240, - 1242, 4475, 5448, 5721, - 5491, 1318, 1317, 4477, 5449, 5720, 5500, 1243, 1247, 3088, 3087, 4630, 3321, 1314, 1315, 3094, - 3093, 4627, 3307, 1245, - 1250, 2065, 2063, 4229, 2196, 1251, 1253, 2072, 2070, 4224, 2182, 1248, 1249, 2986, 2650, 2652, - 5777, 1270, 1269, 2981, - 2762, 2764, 5781, 1250, 1252, 3239, 2802, 2803, 5763, 1309, 1308, 3233, 2910, 2911, 5782, 1253, - 1256, 5513, 5512, 5724, - 5466, 1261, 1262, 5509, 5508, 5725, 5485, 1255, 1255, 3288, 3287, 2498, 1458, 1278, 1280, 3294, - 3293, 2488, 1460, 1254, - 1258, 5908, 3517, 2164, 2165, 1300, 1301, 5887, 3541, 2019, 2020, 1257, 1264, 5828, 5148, 3174, - 2532, 1290, 1292, 5829, - 5166, 3051, 2587, 1263, 1267, 3086, 3085, 5089, 4478, 1317, 1319, 3091, 3090, 5024, 4440, 1266, - 1266, 3880, 3549, 3551, - 4870, 1337, 1336, 3920, 3441, 3443, 4871, 1268, 1272, 1790, 3299, 2486, 2487, 1330, 1329, 1757, - 3289, 2501, 2503, 1274, - 1277, 1577, 1576, 4678, 1918, 1326, 1328, 1543, 1541, 4655, 1948, 1275, 1278, 1459, 2773, 2774, - 2475, 1282, 1281, 1438, - 2725, 2726, 2430, 1279, 1283, 1555, 1553, 4282, 1498, 1302, 1304, 1549, 1547, 4254, 1439, 1281, - 1286, 1400, 1398, 4253, - 1521, 1335, 1337, 1393, 1391, 4263, 1536, 1284, 1285, 4812, 3650, 3649, 5610, 1313, 1311, 4807, - 3680, 3679, 5615, 1286, - 1291, 3737, 3703, 2023, 2024, 1321, 1320, 3800, 3657, 2129, 2130, 1292, 1295, 3339, 3337, 4638, - 3169, 1324, 1325, 3333, - 3332, 4636, 3124, 1294, 1297, 3911, 5313, 5312, 2374, 1299, 1300, 3879, 5332, 5331, 2454, 1296, - 1302, 1497, 2913, 2912 - ] - -private def ClayworthSurface_face_edge_data_chunk14 : Array (Fin 6048) := - #[ - 2636, 1342, 1341, 1511, 2920, 2919, 2628, 1303, 1307, 1574, 1573, 5741, 1758, 1329, 1331, 1552, - 1551, 5731, 1807, 1305, - 1312, 4887, 4381, 4382, 4835, 1315, 1316, 4890, 4297, 4298, 4808, 1311, 1324, 3034, 3035, 2329, - 1510, 1341, 1343, 3041, - 3042, 2331, 1478, 1323, 1326, 1917, 3037, 2339, 2338, 1340, 1338, 2012, 3047, 2333, 2332, 1327, - 1346, 2513, 2514, 2808, - 2806, 1379, 1380, 2509, 2511, 2793, 2792, 1345, 1353, 5265, 5266, 3075, 3076, 1453, 1452, 5199, - 5200, 3071, 3073, 1354, - 1355, 2484, 2485, 2813, 2814, 1372, 1371, 2515, 2516, 2809, 2811, 1356, 1359, 5221, 5222, 3070, - 3069, 1373, 1374, 5196, - 5198, 3058, 3057, 1358, 1361, 2351, 2352, 2670, 2668, 1386, 1385, 2362, 2364, 2656, 2655, 1362, - 1363, 2342, 2341, 2662, - 2664, 1378, 1376, 2366, 2365, 2674, 2676, 1364, 1365, 3152, 5357, 5437, 5436, 1383, 1382, 3153, - 5363, 5428, 5427, 1367, - 1368, 5351, 3774, 3775, 5441, 1484, 1483, 5364, 3806, 3807, 5439, 1369, 1372, 2358, 2356, 2677, - 2678, 1382, 1384, 2344, - 2343, 2653, 2654, 1370, 1370, 3105, 4217, 5004, 4824, 1430, 1429, 3110, 4213, 4940, 4853, 1371, - 1375, 2493, 2492, 2784, - 2785, 1377, 1378, 2508, 2506, 2815, 2816, 1374, 1377, 4209, 4210, 5593, 4460, 1426, 1427, 4214, - 4215, 5559, 4497, 1376, - 1381, 5267, 4936, 3048, 3050, 1449, 1450, 5213, 4975, 3077, 3078, 1380, 1387, 5353, 5352, 5424, - 3361, 1485, 1487, 5360, - 5359, 5442, 3404, 1385, 1389, 4873, 4875, 6003, 5244, 1494, 1496, 4882, 4883, 6008, 5220, 1388, - 1393, 4870, 4869, 5988, - 5150, 1473, 1474, 4885, 4884, 5984, 5139, 1392, 1400, 5615, 5616, 5677, 5316, 1446, 1447, 5619, - 5620, 5685, 5306, 1399, - 1403, 5611, 5612, 5676, 5412, 1441, 1442, 5622, 5623, 5693, 5386, 1402, 1406, 5102, 4595, 3300, - 2848, 1451, 1453, 5106, - 4635, 3332, 2896, 1404, 1404, 2897, 5278, 5498, 5497, 1466, 1464, 2894, 5280, 5507, 5506, 1405, - 1409, 5271, 5270, 5496, - 2706, 1482, 1484, 5277, 5276, 5512, 2747, 1407, 1407, 2746, 5107, 3310, 3309, 1505, 1503, 2729, - 5108, 3325, 3323, 1408, - 1412, 3985, 3984, 5985, 2456, 1418, 1420, 4002, 4001, 5992, 2413, 1410, 1414, 3987, 2101, 2102, - 4239, 1421, 1422, 3983, - 2104, 2105, 4276, 1413, 1415, 2584, 3783, 3782, 4563, 1477, 1475, 2541, 3829, 3828, 4502, 1416, - 1417, 4003, 4004, 6022, - 2567, 1423, 1424, 3977, 3979, 6029, 2583, 1415, 1418, 2457, 5902, 5871, 5202, 1468, 1467, 2387, - 5914, 5833, 5252, 1419, - 1426, 4459, 5053, 5054, 5602, 1493, 1491, 4487, 5055, 5056, 5609, 1428, 1430, 4526, 4335, 4336, - 4866, 1490, 1489, 4530, - 4331, 4332, 4857, 1431, 1434, 4211, 2090, 2091, 3965, 1436, 1437, 4216, 2084, 2085, 3975, 1433, - 1432, 2854, 3193, 3195, - 5769, 1452, 1451, 2849, 3284, 3285, 5776, 1434, 1435, 2701, 2942, 2943, 5779, 1483, 1482, 2707, - 3032, 3033, 5759, 1437, - 1439, 5617, 5064, 5065, 5694, 1443, 1444, 5614, 5061, 5062, 5682, 1438, 1441, 5413, 3677, 3675, - 4280, 1476, 1477, 5373, - 3667, 3666, 4177, 1440, 1446, 5317, 3917, 3915, 2386, 1467, 1469, 5292, 3956, 3955, 2477, 1445, - 1448, 4445, 3691, 3326, - 3328, 1507, 1506, 4412, 3586, 3329, 3331, 1450, 1449, 4524, 4525, 5738, 4488, 1491, 1492, 4528, - 4529, 5705, 4446, 1448 - ] - -private def ClayworthSurface_face_edge_data_chunk15 : Array (Fin 6048) := - #[ - 1462, 4788, 3555, 3556, 5503, 1487, 1486, 4813, 3533, 3534, 5511, 1463, 1468, 5203, 3530, 3529, - 4180, 1495, 1494, 5245, - 3548, 3547, 4255, 1469, 1471, 4877, 4345, 4346, 4578, 1497, 1498, 4872, 4343, 4344, 4548, 1470, - 1473, 5151, 5939, 5863, - 2540, 1475, 1476, 5126, 5946, 5834, 2596, 1472, 1485, 3362, 4670, 4671, 4845, 1489, 1488, 3366, - 4597, 4598, 4814, 1486, - 1514, 2507, 2508, 2664, 2663, 1547, 1548, 2518, 2520, 2649, 2648, 1513, 1521, 3848, 3847, 4091, - 4092, 1621, 1620, 3872, - 3871, 4087, 4088, 1522, 1523, 2497, 2498, 2669, 2670, 1540, 1539, 2521, 2522, 2665, 2667, 1524, - 1527, 3856, 3858, 4086, - 4085, 1541, 1542, 3868, 3870, 4075, 4074, 1526, 1530, 2357, 2358, 2814, 2812, 1553, 1554, 2353, - 2355, 2800, 2799, 1529, - 1531, 2328, 2329, 2807, 2808, 1546, 1544, 2359, 2360, 2818, 2820, 1532, 1533, 4155, 5932, 4699, - 4698, 1551, 1550, 4156, - 5922, 4688, 4687, 1535, 1536, 5748, 5144, 4703, 4705, 1652, 1651, 5767, 5165, 4700, 4702, 1537, - 1540, 2352, 2350, 2821, - 2822, 1550, 1552, 2337, 2336, 2797, 2798, 1538, 1538, 3998, 3999, 4574, 4842, 1599, 1597, 3992, - 3993, 4507, 4829, 1539, - 1543, 2500, 2499, 2640, 2641, 1545, 1546, 2514, 2512, 2671, 2672, 1542, 1545, 3988, 3989, 5870, - 4484, 1594, 1595, 3994, - 3995, 5839, 4468, 1544, 1549, 3850, 3849, 4068, 4069, 1617, 1618, 3864, 3862, 4093, 4094, 1548, - 1555, 5951, 5837, 4680, - 4333, 1653, 1655, 5929, 5855, 4706, 4368, 1554, 1558, 4603, 4604, 5812, 3938, 1662, 1664, 4624, - 4625, 5827, 3908, 1556, - 1561, 4609, 4610, 5815, 3784, 1641, 1642, 4621, 4622, 5824, 3769, 1559, 1568, 5713, 5714, 5964, - 5903, 1614, 1615, 5716, - 5717, 5967, 5896, 1567, 1570, 5709, 5710, 5963, 5943, 1610, 1609, 5718, 5719, 5972, 5931, 1571, - 1572, 2753, 5881, 5023, - 5022, 1634, 1632, 2751, 5882, 5033, 5032, 1573, 1574, 3712, 3711, 4294, 2704, 1619, 1621, 3720, - 3719, 4314, 2752, 1572, - 1575, 2890, 3721, 4296, 4295, 1673, 1671, 2873, 3723, 4308, 4306, 1576, 1577, 5876, 5605, 5016, - 2850, 1650, 1652, 5880, - 5628, 5038, 2891, 1575, 1580, 4204, 4205, 6021, 2428, 1586, 1588, 4219, 4220, 6026, 2411, 1578, - 1582, 4207, 2260, 2261, - 4019, 1589, 1590, 4202, 2257, 2258, 4060, 1581, 1583, 2613, 5149, 5011, 5012, 1645, 1643, 2543, - 5180, 4927, 4928, 1584, - 1585, 4221, 4222, 6028, 2569, 1591, 1593, 4197, 4198, 6019, 2612, 1583, 1586, 2427, 5315, 5314, - 3885, 1636, 1635, 2385, - 5342, 5341, 3954, 1587, 1594, 4483, 5522, 5523, 5700, 1661, 1659, 4485, 5520, 5521, 5707, 1596, - 1599, 4841, 3359, 3360, - 4591, 1657, 1658, 4843, 3363, 3364, 4600, 1598, 1602, 3991, 2240, 2241, 4182, 1604, 1605, 3997, - 2246, 2247, 4193, 1601, - 1600, 2710, 2936, 2938, 5778, 1620, 1619, 2705, 3030, 3031, 5787, 1602, 1603, 2845, 3189, 3190, - 5768, 1651, 1650, 2851, - 3282, 3283, 5788, 1605, 1607, 5715, 5528, 5529, 5582, 1611, 1612, 5712, 5530, 5531, 5595, 1606, - 1610, 5944, 3655, 3653, - 3746, 1644, 1645, 5924, 3682, 3681, 3796, 1608, 1614, 5904, 5232, 4989, 2384, 1635, 1637, 5890, - 5250, 4929, 2440, 1613, - 1617, 4958, 4959, 5647, 4486, 1659, 1660, 4955, 4956, 5607, 4447, 1616, 1616, 3724, 3689, 3690, - 4313, 1675, 1674, 3708 - ] - -private def ClayworthSurface_face_edge_data_chunk16 : Array (Fin 6048) := - #[ - 3579, 3580, 4302, 1618, 1630, 4783, 3513, 3511, 5037, 1655, 1654, 4815, 3540, 3539, 5035, 1631, - 1636, 3886, 3566, 3565, - 3963, 1663, 1662, 3939, 3520, 3518, 4037, 1637, 1639, 4608, 3373, 3375, 4979, 1665, 1666, 4611, - 3376, 3378, 5008, 1638, - 1641, 3785, 5395, 5394, 2542, 1643, 1644, 3747, 5421, 5420, 2633, 1640, 1653, 4334, 4915, 4916, - 4844, 1658, 1656, 4330, - 4859, 4860, 4816, 1654, 1682, 3624, 3625, 2206, 2204, 1715, 1716, 3617, 3619, 2192, 2191, 1681, - 1689, 5237, 5236, 3324, - 3325, 1789, 1788, 5207, 5206, 3334, 3335, 1690, 1691, 3660, 3661, 2199, 2200, 1708, 1707, 3614, - 3615, 2210, 2211, 1692, - 1695, 5069, 5213, 3331, 3330, 1709, 1710, 5081, 5210, 3318, 3317, 1694, 1698, 3129, 3453, 2050, - 2048, 1721, 1722, 3148, - 3464, 2036, 2035, 1697, 1699, 3445, 3444, 2043, 2044, 1714, 1712, 3466, 3465, 2054, 2056, 1700, - 1701, 3385, 5929, 5037, - 5036, 1719, 1718, 3400, 5927, 5028, 5027, 1703, 1704, 5742, 3821, 3819, 5033, 1820, 1819, 5793, - 3799, 3798, 5040, 1705, - 1708, 3459, 3457, 2058, 2057, 1718, 1720, 3447, 3446, 2034, 2032, 1706, 1706, 3212, 3213, 4669, - 4840, 1767, 1765, 3219, - 3220, 4594, 4818, 1707, 1711, 3665, 3664, 2189, 2190, 1713, 1714, 3638, 3636, 2213, 2214, 1710, - 1713, 3224, 3225, 5646, - 4462, 1762, 1763, 3217, 3218, 5604, 4448, 1712, 1717, 5239, 4584, 3314, 3315, 1785, 1786, 5222, - 4637, 3337, 3338, 1716, - 1723, 5941, 5598, 5025, 3106, 1821, 1823, 5932, 5630, 5042, 3149, 1722, 1726, 4515, 4516, 6005, - 5229, 1830, 1832, 4534, - 4535, 6007, 5215, 1724, 1729, 4522, 4521, 6006, 5169, 1809, 1810, 4533, 4532, 6000, 5140, 1728, - 1736, 5570, 5569, 5969, - 5909, 1782, 1783, 5573, 5572, 5960, 5897, 1735, 1739, 5565, 5566, 5968, 5937, 1777, 1778, 5574, - 5575, 5971, 5930, 1738, - 1740, 2289, 5884, 4694, 4693, 1802, 1800, 2270, 5880, 4705, 4704, 1741, 1742, 5103, 4926, 3061, - 2244, 1787, 1789, 5108, - 4977, 3082, 2288, 1740, 1743, 2133, 5110, 3064, 3063, 1841, 1839, 2113, 5106, 3076, 3074, 1744, - 1745, 5877, 5832, 4691, - 2088, 1818, 1820, 5882, 5857, 4710, 2132, 1743, 1748, 2956, 2957, 6039, 3545, 1754, 1756, 2974, - 2975, 6041, 3508, 1746, - 1750, 2959, 2718, 2719, 3290, 1757, 1758, 2954, 2720, 2721, 3247, 1749, 1751, 3651, 3815, 3814, - 4923, 1813, 1811, 3613, - 3795, 3794, 4854, 1752, 1753, 2976, 2977, 6033, 3627, 1759, 1761, 2949, 2950, 6035, 3652, 1751, - 1754, 3544, 5336, 5335, - 5204, 1804, 1803, 3487, 5324, 5323, 5238, 1755, 1762, 4461, 5456, 5457, 5556, 1829, 1827, 4433, - 5454, 5455, 5562, 1764, - 1767, 4839, 4119, 4120, 4503, 1825, 1826, 4803, 4115, 4116, 4512, 1766, 1768, 2238, 4184, 4186, - 5770, 1788, 1787, 2245, - 4270, 4271, 5786, 1770, 1770, 3222, 2708, 2709, 2934, 1772, 1773, 3216, 2702, 2703, 2945, 1769, - 1771, 2083, 3972, 3973, - 5794, 1819, 1818, 2089, 4055, 4056, 5760, 1773, 1775, 5571, 5462, 5463, 5726, 1779, 1780, 5568, - 5464, 5465, 5739, 1774, - 1777, 5938, 2616, 2614, 3265, 1812, 1813, 5925, 2594, 2593, 3183, 1776, 1782, 5910, 3942, 3940, - 3486, 1803, 1805, 5891, - 3926, 3925, 3564, 1781, 1784, 4469, 2599, 2598, 3081, 1843, 1842, 4394, 2625, 2623, 3070, 1786, - 1785, 4724, 4881, 5869 - ] - -private def ClayworthSurface_face_edge_data_chunk17 : Array (Fin 6048) := - #[ - 4434, 1827, 1828, 4721, 4879, 5836, 4470, 1784, 1798, 4770, 2469, 2467, 4699, 1823, 1822, 4851, - 2443, 2442, 4709, 1799, - 1804, 5205, 2438, 2437, 3182, 1831, 1830, 5230, 2460, 2458, 3295, 1805, 1807, 4520, 4129, 4130, - 4896, 1833, 1834, 4523, - 4127, 4128, 4920, 1806, 1809, 5168, 5415, 5414, 3612, 1811, 1812, 5127, 5403, 5402, 3663, 1808, - 1821, 3107, 5002, 5003, - 4804, 1826, 1824, 3102, 4934, 4935, 4852, 1822, 1850, 3637, 3638, 2044, 2042, 1883, 1884, 3604, - 3606, 2028, 2027, 1849, - 1857, 3834, 3835, 4307, 4308, 1957, 1956, 3865, 3866, 4303, 4304, 1858, 1859, 3704, 3705, 2049, - 2050, 1876, 1875, 3607, - 3608, 2046, 2047, 1860, 1863, 3863, 3864, 4302, 4301, 1877, 1878, 3859, 3861, 4291, 4290, 1862, - 1866, 3458, 3459, 2200, - 2198, 1889, 1890, 3454, 3456, 2184, 2183, 1865, 1867, 3432, 3433, 2205, 2206, 1882, 1880, 3460, - 3461, 2201, 2203, 1868, - 1869, 4371, 5360, 5503, 5502, 1887, 1886, 4372, 5358, 5494, 5493, 1871, 1872, 5346, 5171, 5172, - 5507, 1988, 1987, 5361, - 5159, 5160, 5504, 1873, 1876, 3453, 3452, 2207, 2208, 1886, 1888, 3440, 3439, 2173, 2174, 1874, - 1874, 2971, 2973, 4917, - 4825, 1934, 1933, 2965, 2966, 4864, 4817, 1875, 1879, 3707, 3706, 2017, 2018, 1881, 1882, 3625, - 3623, 2051, 2052, 1878, - 1881, 2961, 2962, 5737, 4482, 1930, 1931, 2967, 2968, 5703, 4449, 1880, 1885, 3843, 3842, 4284, - 4285, 1953, 1954, 3858, - 3857, 4309, 4310, 1884, 1891, 5350, 5349, 5490, 4117, 1989, 1991, 5357, 5356, 5508, 4152, 1890, - 1894, 4949, 4951, 5831, - 3918, 1998, 2000, 4961, 4962, 5817, 3906, 1892, 1897, 4946, 4945, 5830, 3812, 1977, 1978, 4965, - 4964, 5808, 3771, 1896, - 1904, 5843, 5842, 5688, 5333, 1950, 1951, 5852, 5851, 5672, 5307, 1903, 1907, 5821, 5846, 5687, - 5396, 1945, 1946, 5816, - 5849, 5692, 5384, 1906, 1910, 3715, 3714, 4078, 2086, 1955, 1957, 3723, 3722, 4098, 2138, 1908, - 1908, 2139, 5282, 5432, - 5431, 1970, 1968, 2136, 5277, 5441, 5440, 1909, 1911, 2294, 3727, 4080, 4079, 2009, 2007, 2292, - 3720, 4092, 4090, 1912, - 1913, 5273, 5272, 5430, 2242, 1986, 1988, 5280, 5279, 5446, 2295, 1911, 1916, 3201, 3202, 5987, - 3522, 1922, 1924, 3228, - 3229, 5993, 3506, 1914, 1918, 3206, 2862, 2863, 2995, 1925, 1926, 3211, 2864, 2865, 3038, 1917, - 1919, 3673, 5170, 4656, - 4657, 1981, 1979, 3611, 5158, 4588, 4589, 1920, 1921, 3226, 3227, 6047, 3635, 1927, 1929, 3207, - 3209, 6045, 3674, 1919, - 1922, 3521, 5911, 5639, 3883, 1972, 1971, 3485, 5906, 5600, 3928, 1923, 1930, 4481, 4725, 4726, - 5840, 1997, 1995, 4435, - 4722, 4723, 5835, 1932, 1934, 4614, 3108, 3109, 4941, 1994, 1993, 4618, 3103, 3104, 4932, 1935, - 1938, 2963, 2852, 2853, - 3197, 1940, 1941, 2970, 2846, 2847, 3186, 1937, 1936, 2092, 3967, 3969, 5795, 1956, 1955, 2087, - 4053, 4054, 5775, 1938, - 1939, 2249, 4190, 4191, 5766, 1987, 1986, 2243, 4272, 4273, 5789, 1941, 1943, 5845, 4733, 4732, - 5632, 1947, 1948, 5847, - 4736, 4735, 5648, 1942, 1945, 5397, 2582, 2580, 3043, 1980, 1981, 5372, 2635, 2634, 2929, 1944, - 1950, 5334, 5247, 4676, - 3484, 1971, 1973, 5293, 5240, 4586, 3532, 1949, 1952, 3728, 2606, 2607, 4097, 2011, 2010, 3713, - 2572, 2573, 4086, 1954 - ] - -private def ClayworthSurface_face_edge_data_chunk18 : Array (Fin 6048) := - #[ - 1953, 4612, 4613, 5594, 4436, 1995, 1996, 4616, 4617, 5561, 4496, 1952, 1966, 4772, 2416, 2417, - 5437, 1991, 1990, 4830, - 2450, 2451, 5445, 1967, 1972, 3884, 2479, 2478, 2932, 1999, 1998, 3919, 2426, 2424, 3013, 1973, - 1975, 4953, 3120, 3122, - 4673, 2001, 2002, 4948, 3117, 3119, 4640, 1974, 1977, 3813, 5945, 5649, 3610, 1979, 1980, 3748, - 5942, 5599, 3684, 1976, - 1989, 4118, 4575, 4576, 4802, 1993, 1992, 4114, 4509, 4510, 4831, 1990, 2025, 4766, 4765, 3916, - 3917, 2120, 2119, 4719, - 4718, 3866, 3867, 2026, 2031, 4744, 4745, 3919, 3918, 2045, 2046, 4715, 4717, 3841, 3840, 2030, - 2037, 3893, 4142, 5938, - 5937, 2055, 2054, 3929, 4111, 5936, 5935, 2039, 2040, 4171, 3779, 3780, 5939, 2145, 2144, 4113, - 3797, 3799, 5926, 2041, - 2043, 3949, 4275, 5592, 3256, 2097, 2098, 3874, 4257, 5571, 3297, 2042, 2049, 4242, 4240, 4983, - 3004, 2094, 2095, 4262, - 4261, 4948, 3045, 2048, 2053, 4768, 4767, 3846, 3845, 2116, 2117, 4742, 4741, 3860, 3859, 2052, - 2059, 4173, 4172, 4944, - 3420, 2147, 2148, 4140, 4138, 4973, 3400, 2057, 2060, 4660, 5802, 5723, 4757, 2156, 2155, 4673, - 5807, 5737, 4759, 2061, - 2065, 5781, 5800, 5724, 5276, 2136, 2137, 5755, 5808, 5729, 5305, 2064, 2072, 5782, 5958, 4636, - 4635, 2113, 2114, 5772, - 5960, 4650, 4648, 2071, 2075, 5733, 5956, 4634, 4160, 2108, 2110, 5739, 5961, 4669, 4162, 2073, - 2078, 5269, 5268, 3313, - 3311, 2118, 2120, 5317, 5316, 3327, 3326, 2076, 2076, 3691, 5109, 5501, 5500, 2131, 2129, 3656, - 5149, 5544, 5543, 2077, - 2079, 3533, 5281, 3308, 3307, 2166, 2164, 3516, 5315, 3390, 3389, 2080, 2081, 5101, 5100, 5499, - 3494, 2143, 2145, 5151, - 5150, 5510, 3534, 2079, 2094, 3003, 4347, 4348, 5952, 2154, 2152, 3032, 4351, 4352, 5955, 2096, - 2097, 3255, 4549, 5093, - 5799, 2151, 2149, 3284, 4531, 5082, 5796, 2099, 2100, 3594, 4553, 4780, 6020, 2119, 2118, 3639, - 4530, 4845, 6023, 2102, - 2103, 3489, 4404, 4405, 6025, 2144, 2143, 3495, 4487, 4488, 6018, 2105, 2107, 5959, 4382, 4380, - 4670, 2111, 2112, 5957, - 4340, 4338, 4646, 2106, 2108, 4161, 2877, 2875, 4232, 2139, 2138, 4099, 2924, 2923, 4199, 2109, - 2116, 4547, 4548, 6009, - 3033, 2152, 2153, 4551, 4552, 5995, 2989, 2115, 2115, 2988, 2897, 2896, 3333, 2168, 2167, 2951, - 2869, 2868, 3387, 2117, - 2127, 3203, 2769, 2770, 5546, 2148, 2146, 3240, 2746, 2747, 5513, 2128, 2132, 4711, 2743, 2742, - 4194, 2157, 2156, 4758, - 2761, 2760, 4234, 2133, 2135, 5803, 5060, 5059, 4577, 2158, 2159, 5801, 5089, 5088, 4525, 2134, - 2147, 3419, 5694, 5695, - 3285, 2149, 2150, 3341, 5658, 5659, 3241, 2146, 2182, 3175, 3174, 5147, 5395, 2275, 2276, 3100, - 3099, 5159, 5362, 2181, - 2186, 3134, 3136, 5397, 5396, 2202, 2201, 3096, 3098, 5348, 5347, 2187, 2194, 5378, 5471, 5230, - 5229, 2212, 2210, 5404, - 5451, 5226, 5225, 2195, 2196, 5486, 5312, 5231, 5232, 2301, 2300, 5452, 5325, 5206, 5208, 2197, - 2199, 4021, 4020, 4573, - 3281, 2253, 2254, 4046, 4045, 4523, 3264, 2198, 2205, 4057, 4058, 5859, 3029, 2250, 2251, 4039, - 4040, 5845, 3012, 2204, - 2209, 3177, 3176, 4517, 4349, 2272, 2273, 3133, 3131, 4542, 4372, 2208, 2215, 5488, 5487, 5227, - 5092, 2303, 2304, 5469 - ] - -private def ClayworthSurface_face_edge_data_chunk19 : Array (Fin 6048) := - #[ - 5468, 5209, 5081, 2214, 2218, 5641, 5662, 4891, 3159, 2311, 2312, 5648, 5673, 4917, 3161, 2216, - 2221, 5665, 5666, 4895, - 3719, 2292, 2293, 5671, 5672, 4912, 3767, 2219, 2227, 5773, 5998, 5629, 5628, 2270, 2269, 5771, - 6000, 5637, 5635, 2228, - 2229, 4898, 5996, 5627, 5479, 2266, 2265, 4896, 6001, 5646, 5481, 2230, 2232, 3540, 5883, 4300, - 4299, 2287, 2285, 3537, - 5902, 4375, 4374, 2234, 2233, 3710, 3709, 5024, 3492, 2274, 2275, 3785, 3784, 5034, 3539, 2232, - 2235, 3689, 3725, 5021, - 5020, 2322, 2320, 3687, 3783, 5074, 5072, 2236, 2237, 5875, 5874, 4298, 3640, 2299, 2301, 5904, - 5903, 4312, 3690, 2235, - 2250, 3028, 5006, 5532, 5991, 2310, 2308, 3030, 4954, 5533, 5977, 2252, 2253, 3280, 3421, 3422, - 5655, 2307, 2305, 3282, - 3401, 3402, 5660, 2255, 2256, 3498, 4400, 4401, 6024, 2276, 2274, 3493, 4485, 4486, 6027, 2258, - 2259, 3589, 4774, 4776, - 5990, 2300, 2299, 3641, 4843, 4844, 5976, 2261, 2263, 5999, 5550, 5549, 4959, 2267, 2268, 5997, - 5525, 5524, 4980, 2262, - 2266, 5480, 2905, 2903, 3726, 2294, 2295, 5447, 2887, 2886, 3716, 2264, 2271, 2990, 2890, 2891, - 5039, 2324, 2323, 2946, - 2912, 2914, 5071, 2273, 2272, 4350, 5582, 5973, 3031, 2308, 2309, 4325, 5583, 5954, 2991, 2271, - 2283, 3199, 2726, 2724, - 4377, 2304, 2302, 3242, 2753, 2752, 4315, 2284, 2288, 3083, 2780, 2779, 3981, 2313, 2311, 3160, - 2733, 2731, 4013, 2289, - 2291, 5664, 3372, 3370, 4913, 2314, 2315, 5667, 3416, 3415, 4915, 2290, 2303, 5007, 5008, 5826, - 3283, 2305, 2306, 4992, - 4993, 5797, 3243, 2302, 2335, 4690, 4689, 3388, 3390, 2427, 2428, 4701, 4700, 3352, 3353, 2334, - 2339, 4383, 4742, 3387, - 3386, 2354, 2353, 4368, 4707, 3429, 3428, 2340, 2345, 3381, 5469, 4377, 4376, 2363, 2362, 3404, - 5443, 4365, 4364, 2346, - 2348, 5429, 3755, 3754, 4375, 2457, 2456, 5438, 3807, 3805, 4328, 2349, 2351, 3403, 4794, 5693, - 3279, 2407, 2408, 3342, - 4798, 5657, 3245, 2350, 2357, 4353, 4801, 5972, 3006, 2404, 2405, 4324, 4797, 5953, 2992, 2356, - 2361, 4686, 4685, 3427, - 3425, 2425, 2426, 4745, 4743, 3356, 3355, 2360, 2367, 5426, 5425, 4367, 3932, 2459, 2460, 5471, - 5470, 4326, 3934, 2365, - 2369, 4519, 4520, 5731, 4698, 2467, 2468, 4554, 4555, 5736, 4730, 2368, 2373, 4504, 4503, 5732, - 5335, 2447, 2448, 4557, - 4556, 5717, 5337, 2372, 2380, 4942, 4941, 5640, 5639, 2422, 2423, 4999, 4998, 5620, 5618, 2379, - 2382, 4952, 4953, 5638, - 5436, 2417, 2418, 5000, 5001, 5645, 5460, 2381, 2389, 4416, 4417, 6046, 2758, 2396, 2398, 4433, - 4434, 6043, 2721, 2388, - 2392, 4419, 3505, 3506, 4848, 2399, 2400, 4415, 3507, 3508, 4819, 2391, 2395, 4435, 4436, 6030, - 2865, 2401, 2402, 4410, - 4411, 6032, 2902, 2393, 2393, 2901, 3813, 3812, 5444, 2451, 2449, 2843, 3718, 3717, 5433, 2394, - 2396, 2757, 5168, 5169, - 4708, 2442, 2441, 2699, 5104, 5105, 4695, 2397, 2404, 3005, 5948, 5947, 4945, 2465, 2464, 2974, - 5919, 5918, 4935, 2406, - 2407, 3278, 5405, 5406, 4521, 2463, 2461, 3228, 5418, 5419, 4510, 2409, 2411, 4799, 3496, 3497, - 4397, 2412, 2413, 4796, - 3490, 3491, 4407, 2410, 2415, 4940, 4939, 5642, 5643, 2419, 2420, 4951, 4950, 5621, 5622, 2414, - 2422, 5911, 3158, 3157 - ] - -private def ClayworthSurface_face_edge_data_chunk20 : Array (Fin 6048) := - #[ - 2698, 2441, 2443, 5885, 3068, 3067, 2778, 2421, 2425, 5255, 5806, 5861, 2975, 2464, 2466, 5195, - 5805, 5835, 3014, 2424, - 2445, 4516, 4514, 5416, 5718, 2470, 2471, 4507, 4506, 5383, 5734, 2444, 2447, 5336, 4158, 4159, - 2842, 2449, 2450, 5283, - 4083, 4084, 2922, 2446, 2459, 3933, 5591, 5590, 3229, 2461, 2462, 3877, 5563, 5562, 3296, 2458, - 2490, 3060, 3059, 5073, - 5074, 2584, 2583, 3072, 3071, 5047, 5048, 2491, 2495, 3132, 3133, 5071, 5070, 2510, 2509, 3078, - 3079, 5098, 5097, 2496, - 2501, 4139, 4140, 5546, 5545, 2519, 2518, 4094, 4095, 5540, 5539, 2502, 2504, 4077, 4076, 5298, - 5544, 2613, 2612, 4089, - 4087, 5330, 5518, 2505, 2507, 4430, 4432, 5827, 3258, 2563, 2564, 4424, 4425, 5798, 3244, 2506, - 2513, 4420, 4421, 6008, - 3027, 2560, 2561, 4426, 4427, 5994, 2993, 2512, 2517, 3056, 3055, 5095, 5096, 2581, 2582, 3136, - 3135, 5050, 5051, 2516, - 2523, 4073, 4072, 5541, 5407, 2615, 2616, 4142, 4141, 5516, 5409, 2522, 2525, 4659, 5568, 4925, - 3069, 2623, 2624, 4672, - 5584, 4900, 3115, 2524, 2529, 5557, 5556, 4924, 3814, 2603, 2604, 5586, 5585, 4884, 3816, 2527, - 2536, 5841, 5840, 4658, - 4656, 2578, 2579, 5867, 5866, 4622, 4620, 2535, 2538, 4908, 5847, 4655, 4085, 2573, 2574, 4897, - 5868, 4668, 4125, 2537, - 2545, 4784, 4786, 5989, 2735, 2552, 2554, 4803, 4804, 5981, 2719, 2544, 2548, 4789, 3634, 3635, - 4451, 2555, 2556, 4793, - 3626, 3627, 4492, 2547, 2549, 2878, 5334, 5333, 4096, 2607, 2605, 2841, 5275, 5274, 4082, 2550, - 2551, 4618, 4802, 6037, - 2863, 2557, 2558, 4645, 4791, 6040, 2879, 2549, 2552, 2734, 5910, 5909, 3080, 2598, 2597, 2697, - 5879, 5878, 3066, 2553, - 2560, 3026, 5253, 5254, 5842, 2621, 2620, 2976, 5188, 5189, 5836, 2562, 2563, 3257, 3930, 3931, - 5569, 2619, 2617, 3226, - 3950, 3951, 5561, 2565, 2567, 4423, 3642, 3643, 4782, 2568, 2569, 4429, 3644, 3645, 4773, 2566, - 2571, 5839, 5217, 4665, - 4666, 2575, 2576, 5846, 5248, 4623, 4624, 2570, 2578, 5170, 4756, 4754, 2696, 2597, 2599, 5111, - 4697, 4696, 2745, 2577, - 2581, 5668, 4985, 4986, 2977, 2620, 2622, 5670, 4931, 4932, 3044, 2580, 2601, 5566, 3945, 3943, - 4882, 2626, 2627, 5559, - 3904, 3903, 4901, 2600, 2603, 3815, 5478, 5477, 2840, 2605, 2606, 3729, 5435, 5434, 2889, 2602, - 2615, 5408, 4571, 4572, - 3227, 2617, 2618, 5367, 4511, 4512, 3266, 2614, 2647, 5552, 5328, 3941, 3942, 2734, 2735, 5519, - 5330, 3871, 3873, 2646, - 2651, 5377, 5537, 3939, 3938, 2666, 2665, 5409, 5517, 3855, 3854, 2652, 2657, 3892, 4358, 5413, - 5412, 2675, 2674, 3934, - 4327, 5355, 5354, 2659, 2661, 4387, 3802, 3803, 5415, 2757, 2758, 4329, 3805, 3806, 5365, 2660, - 2662, 3248, 3250, 5645, - 4269, 2716, 2715, 3273, 3274, 5617, 4254, 2663, 2669, 3287, 3286, 4668, 4028, 2712, 2713, 3268, - 3267, 4611, 4065, 2668, - 2673, 5554, 5553, 3852, 3851, 2732, 2733, 5535, 5534, 3869, 3868, 2672, 2679, 4389, 4388, 4605, - 3125, 2759, 2761, 4356, - 4354, 4632, 3153, 2678, 2680, 4981, 5803, 5853, 5545, 2770, 2768, 4979, 5825, 5870, 5547, 2681, - 2684, 5774, 5799, 5858, - 5857, 2751, 2750, 5757, 5824, 5866, 5865, 2685, 2692, 5654, 5655, 4978, 4977, 2729, 2730, 5684, - 5685, 4998, 4997, 2691 - ] - -private def ClayworthSurface_face_edge_data_chunk21 : Array (Fin 6048) := - #[ - 2695, 5663, 5664, 4972, 4376, 2724, 2725, 5682, 5683, 5004, 4378, 2693, 2712, 4027, 4131, 4132, - 5666, 2767, 2765, 4055, - 4135, 4136, 5659, 2714, 2716, 4268, 4919, 5466, 5800, 2764, 2763, 4270, 4878, 5467, 5797, 2717, - 2723, 5657, 4166, 4164, - 5002, 2727, 2728, 5662, 4124, 4122, 5000, 2722, 2732, 4739, 4920, 5980, 4056, 2765, 2766, 4714, - 4907, 5977, 4014, 2731, - 2749, 5802, 5458, 5459, 4897, 2771, 2772, 5798, 5483, 5484, 4881, 2748, 2759, 3126, 5726, 5970, - 4271, 2763, 2762, 3095, - 5727, 5955, 4235, 2760, 2791, 5080, 5079, 5246, 5247, 2878, 2879, 5049, 5047, 5200, 5201, 2790, - 2795, 5084, 5085, 5245, - 5244, 2810, 2809, 5051, 5052, 5260, 5259, 2796, 2801, 3408, 3410, 5944, 5943, 2819, 2818, 3355, - 3357, 5950, 5949, 2803, - 2805, 3399, 3398, 5164, 5945, 2901, 2902, 3354, 3352, 5165, 5923, 2804, 2807, 3035, 3036, 5736, - 4052, 2859, 2860, 3015, - 3016, 5715, 4036, 2806, 2813, 2998, 2997, 4900, 4247, 2856, 2857, 3022, 3021, 4872, 4282, 2812, - 2817, 5078, 5077, 5258, - 5257, 2876, 2877, 5087, 5086, 5197, 5196, 2816, 2823, 3396, 3395, 4868, 4134, 2904, 2905, 3413, - 3412, 4892, 4156, 2822, - 2824, 4566, 5997, 5579, 5070, 2914, 2913, 4578, 6004, 5593, 5090, 2825, 2829, 5780, 5991, 5580, - 5279, 2894, 2895, 5791, - 5984, 5585, 5304, 2828, 2836, 5756, 5952, 4545, 3722, 2873, 2874, 5758, 5967, 4556, 3766, 2835, - 2839, 5589, 5957, 4544, - 3386, 2868, 2870, 5595, 5966, 4574, 3417, 2837, 2856, 4246, 3123, 3124, 5958, 2911, 2909, 4272, - 3127, 3128, 5954, 2858, - 2859, 4051, 4641, 4738, 5998, 2908, 2906, 4053, 4619, 4740, 5995, 2861, 2867, 5953, 3165, 3163, - 4575, 2871, 2872, 5956, - 3114, 3112, 4554, 2866, 2876, 4639, 4640, 5818, 4273, 2909, 2910, 4643, 4644, 5796, 4233, 2875, - 2893, 5996, 4729, 4728, - 4672, 2915, 2916, 5994, 4762, 4761, 4613, 2892, 2904, 4133, 5632, 5691, 4054, 2906, 2907, 4109, - 5633, 5660, 4015, 2903, - 2934, 5740, 5414, 3803, 3804, 3005, 3006, 5719, 5416, 3733, 3735, 2933, 2937, 5305, 5730, 3800, - 3801, 2950, 2948, 5337, - 5716, 3822, 3823, 2938, 2941, 3767, 4911, 5326, 5327, 2957, 2955, 3816, 4885, 5339, 5340, 2943, - 2945, 4905, 3940, 3941, - 5329, 3026, 3027, 4883, 3943, 3944, 5286, 2944, 2954, 5741, 5032, 3819, 3820, 3003, 3004, 5728, - 5059, 3730, 3731, 2953, - 2959, 4904, 3323, 3324, 5005, 3028, 3029, 4914, 3370, 3371, 4991, 2958, 2960, 3150, 6017, 4731, - 4730, 3036, 3034, 3169, - 6015, 4760, 4759, 2962, 2963, 5775, 5691, 4732, 4734, 3020, 3019, 5750, 5678, 4743, 4744, 2964, - 2970, 5789, 5818, 3119, - 3118, 3001, 3002, 5746, 5814, 3135, 3134, 2969, 2972, 4753, 6012, 3116, 3115, 2997, 2996, 4763, - 6014, 3162, 3161, 2973, - 2995, 6037, 4576, 3163, 3164, 2999, 3000, 6036, 4543, 3131, 3132, 2994, 3018, 6031, 5578, 4741, - 4383, 3037, 3038, 6030, - 5594, 4761, 4316, 3017, 3075, 4642, 4051, 4052, 4555, 3112, 3113, 4663, 3986, 3987, 4582, 3074, - 3084, 4258, 6016, 5722, - 5086, 3168, 3167, 4276, 6018, 5738, 5088, 3085, 3088, 4834, 5983, 5725, 5356, 3152, 3151, 4796, - 5992, 5735, 5383, 3089, - 3094, 4835, 5959, 4236, 3452, 3129, 3130, 4821, 5971, 4249, 3503, 3092, 3096, 3461, 3462, 5492, - 5491, 3147, 3145, 3519 - ] - -private def ClayworthSurface_face_edge_data_chunk22 : Array (Fin 6048) := - #[ - 3520, 5537, 5536, 3097, 3101, 3437, 3438, 5495, 5133, 3156, 3158, 3521, 3522, 5505, 5160, 3099, - 3121, 5128, 4406, 4407, - 5820, 3157, 3156, 5134, 4481, 4482, 5807, 3122, 3143, 3443, 3442, 4167, 5535, 3160, 3159, 3455, - 3454, 4152, 5509, 3144, - 3149, 5043, 4149, 4148, 3448, 3166, 3168, 5087, 4161, 4160, 3463, 3148, 3186, 4677, 4676, 5246, - 5669, 3257, 3258, 4625, - 4623, 5249, 5689, 3185, 3188, 4648, 4649, 5908, 5907, 3202, 3200, 4620, 4621, 5913, 5912, 3190, - 3194, 5635, 5636, 5161, - 5162, 3209, 3208, 5618, 5619, 5174, 5175, 3195, 3197, 5650, 5649, 5164, 5163, 3278, 3279, 5623, - 5621, 5117, 5116, 3196, - 3206, 4678, 4306, 4307, 4550, 3255, 3256, 4647, 4338, 4339, 4569, 3205, 3211, 5651, 5506, 5172, - 5173, 3280, 3281, 5634, - 5524, 5112, 5113, 3210, 3214, 5476, 5978, 4126, 4125, 3286, 3288, 5485, 5983, 4163, 4162, 3213, - 3216, 5760, 5980, 4128, - 3887, 3271, 3272, 5749, 5982, 4141, 3893, 3215, 3222, 5786, 5970, 5463, 5374, 3253, 3254, 5747, - 5965, 5470, 5378, 3221, - 3223, 4153, 6016, 5461, 5460, 3250, 3249, 4168, 6013, 5482, 5481, 3225, 3247, 6043, 5869, 5484, - 3350, 3251, 3252, 6042, - 5854, 5468, 3381, 3246, 3270, 5979, 4974, 4138, 4139, 3289, 3290, 5981, 5003, 4164, 4165, 3269, - 3319, 5299, 5478, 3651, - 3652, 3336, 3334, 5325, 5453, 3646, 3647, 3320, 3321, 5475, 5392, 3654, 3655, 3410, 3409, 5450, - 5404, 3615, 3616, 3322, - 3329, 3585, 4980, 5634, 4573, 3368, 3367, 3599, 4994, 5614, 4562, 3330, 3339, 5474, 5473, 3649, - 3648, 3411, 3413, 5480, - 5479, 3618, 3617, 3338, 3347, 4822, 6038, 5856, 5855, 3385, 3384, 4819, 6041, 5861, 5860, 3349, - 3368, 4020, 4022, 5551, - 5986, 3418, 3417, 3999, 4000, 5542, 5979, 3369, 3374, 5137, 4418, 4419, 5819, 3389, 3388, 5132, - 4483, 4484, 5825, 3375, - 3377, 4025, 4026, 5744, 5813, 3409, 3408, 3996, 3997, 5788, 5826, 3378, 3380, 6034, 5548, 5547, - 3989, 3382, 3383, 6031, - 5527, 5526, 4058, 3379, 3411, 4018, 4019, 5976, 4916, 3415, 3414, 4023, 4024, 5978, 4893, 3412, - 3451, 5029, 3758, 3757, - 4158, 3544, 3545, 5041, 3798, 3797, 4112, 3450, 3458, 4137, 4846, 5692, 4030, 3500, 3501, 4107, - 4832, 5667, 4016, 3457, - 3467, 5031, 5030, 4151, 3913, 3546, 3548, 5085, 5083, 4110, 3929, 3465, 3469, 4876, 4877, 5873, - 5502, 3556, 3557, 4913, - 4914, 5859, 5526, 3468, 3473, 4865, 4866, 5872, 5871, 3537, 3538, 4911, 4912, 5851, 5850, 3472, - 3480, 4590, 4591, 5588, - 5314, 3516, 3517, 4649, 4650, 5572, 5338, 3479, 3483, 4607, 4608, 5587, 5036, 3511, 3512, 4646, - 4647, 5592, 5057, 3481, - 3500, 4029, 5390, 5391, 4610, 3553, 3552, 4002, 5388, 5389, 4598, 3502, 3503, 4248, 5828, 5940, - 4869, 3551, 3550, 4219, - 5804, 5916, 4860, 3504, 3510, 4594, 4593, 5382, 5591, 3514, 3515, 4604, 4602, 5417, 5574, 3509, - 3519, 5233, 5734, 5735, - 4001, 3552, 3554, 5193, 5706, 5707, 4038, 3518, 3536, 4875, 4874, 5848, 5816, 3558, 3559, 4864, - 4863, 5860, 5806, 3535, - 3546, 3914, 5643, 5644, 4220, 3550, 3549, 3881, 5608, 5609, 4256, 3547, 3577, 5703, 5218, 4984, - 4985, 3658, 3659, 5710, - 5243, 4960, 4961, 3576, 3581, 4577, 5728, 4983, 4341, 3591, 3592, 4565, 5712, 5014, 4301, 3580, - 3588, 5604, 3901, 3899 - ] - -private def ClayworthSurface_face_edge_data_chunk23 : Array (Fin 6048) := - #[ - 4571, 3685, 3686, 5612, 3947, 3946, 4534, 3587, 3598, 5701, 5700, 5013, 5011, 3656, 3657, 5730, - 5729, 4964, 4963, 3597, - 3603, 5601, 5602, 4564, 3782, 3687, 3688, 5636, 5637, 4532, 3818, 3601, 3604, 4310, 4311, 4749, - 4748, 3694, 3693, 4355, - 4356, 4758, 4757, 3605, 3609, 4289, 4288, 4752, 4751, 3676, 3677, 4358, 4357, 4716, 4715, 3608, - 3624, 4489, 4490, 6007, - 4050, 3631, 3632, 4471, 4472, 5999, 4017, 3623, 3628, 4266, 3911, 3912, 5616, 3679, 3678, 4221, - 3909, 3910, 5607, 3630, - 3629, 4477, 4478, 5801, 4237, 3636, 3637, 4453, 4454, 5817, 4267, 3628, 3631, 4049, 5234, 5235, - 5714, 3672, 3670, 4003, - 5184, 5185, 5705, 3633, 3654, 5393, 4666, 4667, 4004, 3670, 3671, 5370, 4599, 4600, 4064, 3653, - 3674, 4305, 4303, 4718, - 4720, 3695, 3696, 4293, 4292, 4755, 4756, 3673, 3676, 5679, 4901, 4902, 4222, 3678, 3680, 5681, - 4856, 4857, 4281, 3675, - 3742, 3964, 3965, 5864, 5863, 3780, 3781, 4029, 4030, 5849, 5848, 3741, 3744, 3982, 3983, 5862, - 5440, 3775, 3776, 4027, - 4028, 5868, 5459, 3743, 3750, 4396, 4397, 6010, 4159, 3757, 3759, 4461, 4462, 6001, 4130, 3749, - 3753, 4401, 4399, 5139, - 5791, 3760, 3761, 4411, 4409, 5140, 5771, 3752, 3756, 4459, 4460, 6004, 4346, 3762, 3763, 4414, - 4415, 6011, 4374, 3754, - 3766, 4557, 5901, 5900, 3984, 3817, 3818, 4533, 5899, 5898, 3973, 3765, 3769, 5757, 5135, 5136, - 4417, 3770, 3771, 5755, - 5130, 5131, 4405, 3768, 3772, 3969, 3968, 5865, 5867, 3778, 3777, 3979, 3978, 5850, 5852, 3773, - 3856, 4428, 4429, 6028, - 4902, 3903, 3902, 4457, 4458, 6013, 4894, 3857, 3863, 4450, 4451, 6047, 4572, 3899, 3900, 4455, - 4456, 6044, 4546, 3862, - 3890, 5750, 5219, 5220, 4421, 3894, 3895, 5753, 5214, 5215, 4490, 3889, 3891, 4216, 5759, 6009, - 4344, 3897, 3896, 4245, - 5752, 6002, 4357, 3892, 3906, 4454, 4452, 5223, 5747, 3907, 3908, 4432, 4431, 5224, 5743, 3905, - 3916, 5680, 4049, 4050, - 4535, 3946, 3948, 5690, 3974, 3975, 4581, 3915, 3991, 5787, 5973, 5529, 5380, 4043, 4044, 5753, - 5962, 5536, 5377, 3990, - 4042, 6017, 5626, 5534, 4167, 4059, 4060, 6027, 5647, 5549, 4100, 4041, 4091, 4918, 4268, 4269, - 5001, 4122, 4123, 4906, - 4206, 4207, 4988, 4090, 4102, 4823, 6014, 5631, 5630, 4155, 4154, 4799, 6026, 5644, 5642, 4104, - 4182, 5596, 5394, 5147, - 5148, 4248, 4249, 5575, 5417, 5121, 5123, 4181, 4185, 5304, 5586, 5146, 5145, 4198, 4196, 5338, - 5573, 5142, 5141, 4186, - 4189, 4997, 4999, 5311, 5310, 4205, 4203, 4963, 4965, 5309, 5308, 4191, 4193, 4990, 4989, 5231, - 5313, 4266, 4267, 4962, - 4960, 5242, 5290, 4192, 4202, 5597, 4704, 4703, 5143, 4246, 4247, 5584, 4728, 4727, 5124, 4201, - 4208, 4369, 6042, 5058, - 5057, 4275, 4274, 4384, 6044, 5091, 5090, 4210, 4211, 5776, 5695, 5065, 5066, 4260, 4259, 5743, - 5675, 5083, 5084, 4212, - 4218, 5068, 6036, 4342, 4341, 4240, 4241, 5067, 6038, 4379, 4378, 4217, 4239, 6023, 4671, 4380, - 4381, 4243, 4244, 6012, - 4633, 4354, 4355, 4238, 4319, 4833, 5986, 5581, 5359, 4371, 4370, 4848, 5993, 5590, 5382, 4320, - 4423, 6022, 4667, 4665, - 5216, 4475, 4476, 6015, 4638, 4637, 5221, 4422, 4474, 6034, 4976, 4975, 5069, 4491, 4492, 6033, - 4986, 4984, 5045, 4473 - ] - -private def ClayworthSurface_face_edge_data_chunk24 : Array (Fin 6048) := - #[ - 4526, 4824, 5683, 5062, 5063, 4568, 4567, 4789, 5698, 5072, 5073, 4527, 4614, 4825, 5673, 4735, - 4737, 4662, 4661, 4773, - 5697, 4754, 4755, 4615, 4775, 5306, 5684, 5790, 5894, 4786, 4785, 5307, 5671, 5754, 5893, 4776, - 4779, 5896, 5758, 5300, - 5301, 4791, 4790, 5897, 5772, 5296, 5297, 4780, 4782, 5974, 5477, 5299, 4880, 4839, 4840, 5961, - 5465, 5294, 4899, 4781, - 4793, 5975, 5543, 5298, 4957, 4841, 4842, 5966, 5531, 5302, 4982, 4792, 4795, 5934, 5744, 5385, - 5384, 4846, 4847, 5933, - 5749, 5387, 5386, 4794, 4800, 5379, 5752, 5751, 5930, 4821, 4820, 5376, 5746, 5745, 5931, 4801 - ] - -private def ClayworthSurface_face_edge_data : Array (Fin 6048) := - ClayworthSurface_face_edge_data_chunk0 ++ ClayworthSurface_face_edge_data_chunk1 ++ - ClayworthSurface_face_edge_data_chunk2 ++ ClayworthSurface_face_edge_data_chunk3 ++ - ClayworthSurface_face_edge_data_chunk4 ++ ClayworthSurface_face_edge_data_chunk5 ++ - ClayworthSurface_face_edge_data_chunk6 ++ ClayworthSurface_face_edge_data_chunk7 ++ - ClayworthSurface_face_edge_data_chunk8 ++ ClayworthSurface_face_edge_data_chunk9 ++ - ClayworthSurface_face_edge_data_chunk10 ++ ClayworthSurface_face_edge_data_chunk11 ++ - ClayworthSurface_face_edge_data_chunk12 ++ ClayworthSurface_face_edge_data_chunk13 ++ - ClayworthSurface_face_edge_data_chunk14 ++ ClayworthSurface_face_edge_data_chunk15 ++ - ClayworthSurface_face_edge_data_chunk16 ++ ClayworthSurface_face_edge_data_chunk17 ++ - ClayworthSurface_face_edge_data_chunk18 ++ ClayworthSurface_face_edge_data_chunk19 ++ - ClayworthSurface_face_edge_data_chunk20 ++ ClayworthSurface_face_edge_data_chunk21 ++ - ClayworthSurface_face_edge_data_chunk22 ++ ClayworthSurface_face_edge_data_chunk23 ++ - ClayworthSurface_face_edge_data_chunk24 - -private def ClayworthSurface_face_dir_data_chunk0 : Array Bool := - #[ - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, - true, true, true, false, true, false, - true, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, - true, false, false, true, false, - false, true, false, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, - true, true, false, true, false, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true - ] - -private def ClayworthSurface_face_dir_data_chunk1 : Array Bool := - #[ - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, - true, false, false, true, false, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, - true, false, false, true, false, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true - ] - -private def ClayworthSurface_face_dir_data_chunk2 : Array Bool := - #[ - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, - false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - false, true, false, true, false, - true, false, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk3 : Array Bool := - #[ - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, false, - false, false, true, true, false, false, false, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - false, true, true, false, true, true - ] - -private def ClayworthSurface_face_dir_data_chunk4 : Array Bool := - #[ - false, true, true, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, - false, false, false, false, true, false, - false, false, false, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true - ] - -private def ClayworthSurface_face_dir_data_chunk5 : Array Bool := - #[ - false, false, true, false, true, true, false, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, - false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - false, true, false, true, false, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, - false, false, false, true, true, - true, false, false, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, - true, false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, true, true, false, - false, false, true, true, true, false, false, false, true, false, false, true, true, false, - true, false, false, true, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk6 : Array Bool := - #[ - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, - true, true, false, true, false, - true, true, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, true, false, true, false, - true, true, true, false, true, false, true, false, true, false, true, false, true, false, true, - false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, - true, false, false, true, true - ] - -private def ClayworthSurface_face_dir_data_chunk7 : Array Bool := - #[ - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, - false, true, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, false, true, - false, false, true, false, false, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - true, false, false, false, true, true, - true, false, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, true, false, false, true, - false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, false - ] - -private def ClayworthSurface_face_dir_data_chunk8 : Array Bool := - #[ - true, false, true, true, false, false, true, false, true, true, true, true, false, false, true, - true, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - false, false, false, true, false, - true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, false, false, - false, false, true, false, false, false, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, true, false, - true, false, true, true, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, true, false, - true, false, true, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk9 : Array Bool := - #[ - true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, - false, false, false, true, true, - true, false, false, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, - true, true, false, true, false, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, true, false, false, true, - false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, - false, false, false, true, true, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, - true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, false, true, false, - true, true, false, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, - false, false, false, true, true, - true, false, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, false, true, false, true, - true, false, false, true, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, false, - true, true, false, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk10 : Array Bool := - #[ - true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, false, true, true, false, - true, false, false, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, true, false, true, false, - true, true, true, false, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, - false, false, false, true, false, - true, false, false, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, true, false, - true, false, true, true, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true - ] - -private def ClayworthSurface_face_dir_data_chunk11 : Array Bool := - #[ - true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, false, true, false, - true, true, false, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, - true, true, false, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, false, true, false, - true, true, false, false, true, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - false, false, false, true, false, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, true, false, false, - true, true, false, true, false, false - ] - -private def ClayworthSurface_face_dir_data_chunk12 : Array Bool := - #[ - true, true, false, true, true, false, true, true, false, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, - false, true, false, true, false, - true, false, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, - false, true, false, true, false, - true, false, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, true, false, - true, false, true, true, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, true, false, true, false, - true, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, - true, false, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk13 : Array Bool := - #[ - true, true, false, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, true, - false, false, false, true, true, - true, false, false, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, true, false, true, false, - true, true, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, true, true, - false, false, true, true, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, false, - false, false, false, false, true, false, - false, false, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, false, true, false, true, - true, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true - ] - -private def ClayworthSurface_face_dir_data_chunk14 : Array Bool := - #[ - false, false, true, true, false, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, - true, true, false, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, true, true, true, false, false, true, true, true, true, false, - false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - false, false, false, false, true, false, - false, false, false, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, true, false, true, false, - true, true, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false - ] - -private def ClayworthSurface_face_dir_data_chunk15 : Array Bool := - #[ - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, false, - false, false, true, true, false, false, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, false, false, - false, false, true, false, false, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, - false, false, false, true, false, - false, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, false, true, false, - true, true, false, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, true, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk16 : Array Bool := - #[ - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, false, false, true, false, false, false, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, - false, false, false, true, false, - false, false, false, false, true, true, true, false, true, false, true, true, true, false, - true, false, true, false, false, false, - false, false, true, false, false, false, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, true, true - ] - -private def ClayworthSurface_face_dir_data_chunk17 : Array Bool := - #[ - false, false, true, true, true, true, false, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, false, false, - true, false, false, true, false, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, false, - true, true, false, true, false, - false, true, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, - true, false, false, false, true, true, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, - true, true, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, false, false, false, false, true, true, false, false, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, true, false, false, - false, false, true, true, false, false, false, false, true, false, false, true, true, false, - true, false, false, true, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk18 : Array Bool := - #[ - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, true, false, true, - true, true, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, false, true, - false, false, false, true, false, - true, false, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, true, true, - false, false, true, true, true, true, false, false, true, true, true, true, false, false, true, - true, true, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, true, false, true, true, false, true, true, false, true, true, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, true, false, - true, true, false, true, true, false, - true, true, false, true, true, false, true, true, false, true, true, false, true, true, false, - true, true, false, true, true, - false, true, true, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, true, false, - true, false, true, true, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, false, false, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk19 : Array Bool := - #[ - true, false, false, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, true, true, false, true, false, - true, true, true, false, true, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, true, true, true, false, true, true, true, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, true, false, true, true, - false, true, true, false, true, true, true, true, false, false, true, true, true, true, false, - false, true, true, false, true, - true, false, true, true, false, true, true, false, true, true, false, true, true, false, true, - true, false, true, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, - true, true, false, true, false, - true, false, false, true, true, false, true, false, false, true, true, false, true, true, true, - true, false, false, true, true, - true, true, false, false, true, true, true, true, false, false, true, true, true, true, false, - false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, true, false, true - ] - -private def ClayworthSurface_face_dir_data_chunk20 : Array Bool := - #[ - false, false, true, true, false, true, false, false, true, true, true, true, false, false, - true, true, true, true, false, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, true, false, - true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, true, false, true, false, - true, true, true, false, true, false, true, true, false, false, true, false, true, true, false, - false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, true, - true, false, false, false, true, true, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, true, true, - false, false, true, true, true, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, false, false, false, - true, false, true, false, false, false, true, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, - false, true, true, false, true, false, - false, true, true, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, false, true, true, - true, false, true, false, true, false, false, true, true, false, true, false, false, true, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, true, false, true, false, true, - false, true, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk21 : Array Bool := - #[ - true, false, true, false, false, false, true, false, true, false, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, true, true, false, false, true, true, true, true, false, - false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, false, false, false, - true, true, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - true, true, false, false, true, true, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, true, true, false, true, false, true, true, true, false, true, false, true, - true, false, false, true, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, true, - false, false, false, false, true, true, - false, false, false, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, false, - true, true, false, true, false, - false, true, true, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, true, true, false, false, - true, true, true, true, false, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, true, - true, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, false, false, true, - true, false, true, false, false, true, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, false, - true, true, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, false, false, true, false, - false, false, false, false, true, false, false, true, false, false, true, false, false, true, - false, false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, - true, true, true, false, false, false, true, true, true, false, false, false, true, false, - true, false, true, false, true, false - ] - -private def ClayworthSurface_face_dir_data_chunk22 : Array Bool := - #[ - true, false, true, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, true, true, false, - true, false, true, true, true, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - true, true, false, false, true, false, - true, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, true, true, false, - false, false, true, true, true, false, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, - true, true, false, false, true, false, true, true, false, false, true, false, true, false, - false, false, false, false, true, false, - false, false, false, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, true, true, false, - true, false, true, true, true, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, true, true, true, false, false, true, true, true, true, false, false, true, false, true, - false, true, false, true, false, - true, false, true, false, true, true, false, false, true, false, true, true, false, false, - true, false, true, false, true, true, - true, false, true, false, true, true, true, false, true, true, false, true, false, false, true, - true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, false, true, - true, false, true, false, false, true, true, false, true, true, true, true, false, false, true, - true, true, true, false, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - false, false, true, false, true, false, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, true, true, - true, false, false, true, true, - true, true, false, false, true, false, true, true, true, false, true, false, true, true, true, - false, true, true, false, true, - false, false, true, true, false, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, false, true, false, true, false, - false, false, true, false, true, true, true, false, false, false, true, true, true, false, - false, false, true, false, false, true - ] - -private def ClayworthSurface_face_dir_data_chunk23 : Array Bool := - #[ - true, false, true, false, false, true, true, false, true, false, true, false, true, false, - true, false, true, false, true, false, - true, false, true, false, false, false, true, false, true, false, false, false, true, false, - true, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, true, false, true, false, false, - true, true, false, true, false, false, - true, false, true, true, false, false, true, false, true, true, false, false, true, true, - false, true, false, false, true, true, - false, true, false, false, true, true, false, true, false, false, true, true, false, true, - false, false, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, false, true, false, false, - true, false, false, true, false, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, false, false, false, true, false, - true, false, false, false, true, false, true, false, false, false, true, false, true, false, - false, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, true, false, true, false, false, true, true, false, true, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, false, true, false, true, false, true, false, true, false, - true, false, true, false, true, true, - false, false, true, false, true, true, false, false, true, false, true, false, false, false, - true, false, true, false, false, false, - true, false, false, true, false, false, true, false, false, true, false, false, true, true, - true, false, false, false, true, true, - true, false, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, false, true, - false, false, true, false, false, true, false, false, true, true, false, false, false, false, - true, true, false, false, false, false, - true, true, false, false, false, false, true, true, false, false, false, false, true, false, - false, true, false, false, true, false, - false, true, false, false, true, true, true, false, true, false, true, true, true, false, true, - false, true, false, false, false, - true, false, true, false, false, false, true, false, true, true, true, false, true, false, - true, true, true, false, true, false, - true, false, true, false, true, false, true, false, true, false, true, false, true, false, - true, true, true, false, true, false, - true, true, true, false, true, false, false, true, true, false, true, false, false, true, true, - false, true, true, true, false, - true, false, true, true, true, false, true, false, true, true, false, false, true, false, true, - true, false, false, true, false, - true, true, true, false, true, false, true, true, true, false, true, false, true, true, false, - false, true, false, true, true, - false, false, true, false, true, true, false, false, false, false, true, true, false, false, - false, false, true, true, false, true, - true, false, true, true, false, true, true, false, true, false, false, true, false, false, - true, false, false, true, false, false - ] - -private def ClayworthSurface_face_dir_data_chunk24 : Array Bool := - #[ - true, true, false, false, true, false, true, true, false, false, true, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, true, true, true, false, true, true, true, true, true, - false, true, true, false, false, - true, false, true, true, false, false, true, false, true, false, false, false, false, false, - true, false, false, false, false, false, - true, false, false, false, false, false, true, false, false, false, false, false, true, true, - false, false, true, false, true, true, - false, false, true, false, true, true, false, true, true, false, true, true, false, true, true, - false - ] - -private def ClayworthSurface_face_dir_data : Array Bool := - ClayworthSurface_face_dir_data_chunk0 ++ ClayworthSurface_face_dir_data_chunk1 ++ - ClayworthSurface_face_dir_data_chunk2 ++ ClayworthSurface_face_dir_data_chunk3 ++ - ClayworthSurface_face_dir_data_chunk4 ++ ClayworthSurface_face_dir_data_chunk5 ++ - ClayworthSurface_face_dir_data_chunk6 ++ ClayworthSurface_face_dir_data_chunk7 ++ - ClayworthSurface_face_dir_data_chunk8 ++ ClayworthSurface_face_dir_data_chunk9 ++ - ClayworthSurface_face_dir_data_chunk10 ++ ClayworthSurface_face_dir_data_chunk11 ++ - ClayworthSurface_face_dir_data_chunk12 ++ ClayworthSurface_face_dir_data_chunk13 ++ - ClayworthSurface_face_dir_data_chunk14 ++ ClayworthSurface_face_dir_data_chunk15 ++ - ClayworthSurface_face_dir_data_chunk16 ++ ClayworthSurface_face_dir_data_chunk17 ++ - ClayworthSurface_face_dir_data_chunk18 ++ ClayworthSurface_face_dir_data_chunk19 ++ - ClayworthSurface_face_dir_data_chunk20 ++ ClayworthSurface_face_dir_data_chunk21 ++ - ClayworthSurface_face_dir_data_chunk22 ++ ClayworthSurface_face_dir_data_chunk23 ++ - ClayworthSurface_face_dir_data_chunk24 - -/-! ## Size proofs (verified by native_decide) -/ - -private theorem ClayworthSurface_edge_src_size : - ClayworthSurface_edge_src_data.size = 6048 := by native_decide - -private theorem ClayworthSurface_edge_tgt_size : - ClayworthSurface_edge_tgt_data.size = 6048 := by native_decide - -private theorem ClayworthSurface_face_edge_size : - ClayworthSurface_face_edge_data.size = 12096 := by native_decide - -private theorem ClayworthSurface_face_dir_size : - ClayworthSurface_face_dir_data.size = 12096 := by native_decide - -/-! ## The CellularSurface instance -/ - -/-- The Clayworth Surface (G₂(2)/C₃) as a CellularSurface. - 4032 vertices, 6048 edges, 1008 faces of size 12, genus 505. -/ -def clayworthSurface : CellularSurface where - nV := 4032 - nE := 6048 - nF := 1008 - edge_src := arrayToFin₂ ClayworthSurface_edge_src_data ClayworthSurface_edge_src_size - edge_tgt := arrayToFin₂ ClayworthSurface_edge_tgt_data ClayworthSurface_edge_tgt_size +set_option linter.style.maxHeartbeats false + +/-! ## Permutation data -/ + +private def clayworthR_fwd_c0 : Array (Fin 12096) := #[15, 14, 17, 16, 13, 12, 188, 189, 190, 191, 186, 187, 105, 104, 107, 106, 102, 103, 38, 39, 41, 40, 37, 36, 82, 83, 78, 79, 80, 81, 141, 140, 143, 142, 138, 139, 2, 3, 4, 5, 0, 1, 34, 35, 31, 30, 32, 33, 98, 99, 100, 101, 96, 97, 50, 51, 48, 49, 52, 53, 134, 135, 136, 137, 133, 132, 20, 21, 23, 22, 19, 18, 45, 44, 47, 46, 43, 42, 152, 153, 155, 154, 151, 150, 91, 90, 94, 95, 93, 92, 111, 110, 113, 112, 109, 108, 165, 164, 166, 167, 163, 162, 178, 179, 174, 175, 176, 177, 68, 69, 70, 71, 66, 67, 127, 126, 131, 130, 129, 128, 88, 89, 84, 85, 87, 86, 171, 170, 173, 172, 168, 169, 7, 6, 10, 11, 9, 8, 72, 73, 75, 74, 77, 76, 124, 125, 122, 123, 121, 120, 184, 185, 180, 181, 182, 183, 114, 115, 118, 119, 116, 117, 158, 159, 156, 157, 160, 161, 64, 65, 60, 61, 62, 63, 147, 146, 148, 149, 145, 144, 24, 25, 26, 27, 28, 29, 59, 58, 57, 56, 54, 55, 771, 770, 773, 772, 769, 768, 954, 955, 959, 958, 956, 957, 886, 887, 885, 884, 883, 882, 834, 835, 838, 839, 837, 836, 868, 869, 865, 864, 867, 866, 906, 907, 908, 909, 910, 911, 860, 861, 862, 863, 859, 858, 896, 897, 898, 899, 894, 895, 804, 805, 806, 807, 808, 809, 904, 905, 901, 900, 903, 902, 789, 788, 790, 791, 786, 787, 944, 945, 943, 942, 946, 947, 842, 843, 841, 840, 845, 844, 924, 925, 927, 926, 928, 929, 853, 852, 857, 856, 855, 854, 873, 872, 875, 874, 871, 870, 933, 932, 931, 930, 935, 934, 951, 950, 953, 952, 949, 948, 832, 833, 831, 830, 828, 829, 941, 940, 937, 936, 938, 939, 913, 912, 914, 915, 917, 916, 893, 892, 888, 889, 891, 890, 849, 848, 851, 850, 846, 847, 798, 799, 803, 802, 800, 801, 783, 782, 780, 781, 785, 784, 825, 824, 822, 823, 827, 826, 821, 820, 817, 816, 819, 818, 797, 796, 794, 795, 793, 792, 878, 879, 881, 880, 876, 877, 776, 777, 778, 779, 775, 774, 921, 920, 922, 923, 919, 918, 814, 815, 813, 812, 811, 810, 3069, 3068, 3070, 3071, 3067, 3066, 2977, 2976, 2980, 2981, 2978, 2979, 2906, 2907, 2909, 2908, 2905, 2904, 2965, 2964, 2968, 2969, 2966, 2967, 2952, 2953, 2956, 2957, 2954, 2955, 2988, 2989, 2993, 2992, 2990, 2991, 2982, 2983, 2986, 2987, 2985, 2984, 3021, 3020, 3022, 3023, 3019, 3018, 2900, 2901, 2902, 2903, 2898, 2899, 2975, 2974, 2970, 2971, 2973, 2972, 2897, 2896, 2894, 2895, 2893, 2892, 2919, 2918, 2916, 2917, 2921, 2920, 3026, 3027, 3024, 3025, 3029, 3028, 3003, 3002, 3005, 3004, 3001, 3000, 2914, 2915, 2911, 2910, 2912, 2913, 2962, 2963, 2960, 2961, 2959, 2958, 2924, 2925, 2923, 2922, 2926, 2927, 2996, 2997, 2998, 2999, 2995, 2994, 3047, 3046, 3044, 3045, 3043, 3042, 3063, 3062] +private def clayworthR_fwd_c1 : Array (Fin 12096) := #[3061, 3060, 3064, 3065, 3058, 3059, 3054, 3055, 3056, 3057, 2947, 2946, 2949, 2948, 2950, 2951, 3053, 3052, 3050, 3051, 3049, 3048, 3016, 3017, 3014, 3015, 3012, 3013, 3035, 3034, 3030, 3031, 3033, 3032, 2941, 2940, 2945, 2944, 2942, 2943, 2936, 2937, 2939, 2938, 2935, 2934, 2881, 2880, 2885, 2884, 2883, 2882, 3009, 3008, 3011, 3010, 3006, 3007, 3041, 3040, 3036, 3037, 3039, 3038, 2890, 2891, 2886, 2887, 2889, 2888, 2932, 2933, 2930, 2931, 2929, 2928, 11906, 11907, 11908, 11909, 11904, 11905, 11931, 11930, 11928, 11929, 11932, 11933, 11971, 11970, 11974, 11975, 11973, 11972, 12025, 12024, 12029, 12028, 12027, 12026, 11976, 11977, 11978, 11979, 11980, 11981, 12017, 12016, 12012, 12013, 12014, 12015, 12039, 12038, 12041, 12040, 12036, 12037, 12061, 12060, 12063, 12062, 12064, 12065, 12032, 12033, 12031, 12030, 12034, 12035, 11913, 11912, 11910, 11911, 11915, 11914, 12019, 12018, 12021, 12020, 12022, 12023, 11961, 11960, 11963, 11962, 11959, 11958, 12090, 12091, 12092, 12093, 12094, 12095, 12089, 12088, 12084, 12085, 12086, 12087, 12080, 12081, 12079, 12078, 12083, 12082, 11994, 11995, 11996, 11997, 11998, 11999, 12066, 12067, 12068, 12069, 12070, 12071, 12059, 12058, 12055, 12054, 12057, 12056, 12011, 12010, 12006, 12007, 12009, 12008, 11966, 11967, 11965, 11964, 11969, 11968, 11953, 11952, 11954, 11955, 11957, 11956, 11924, 11925, 11923, 11922, 11927, 11926, 12003, 12002, 12000, 12001, 12004, 12005, 11940, 11941, 11943, 11942, 11944, 11945, 12043, 12042, 12047, 12046, 12045, 12044, 11993, 11992, 11989, 11988, 11990, 11991, 11939, 11938, 11936, 11937, 11934, 11935, 12051, 12050, 12049, 12048, 12052, 12053, 11917, 11916, 11918, 11919, 11921, 11920, 12075, 12074, 12076, 12077, 12073, 12072, 11948, 11949, 11950, 11951, 11947, 11946, 11987, 11986, 11982, 11983, 11984, 11985, 6341, 6340, 6337, 6336, 6338, 6339, 6374, 6375, 6372, 6373, 6377, 6376, 6523, 6522, 6525, 6524, 6527, 6526, 6379, 6378, 6383, 6382, 6380, 6381, 6437, 6436, 6432, 6433, 6435, 6434, 6420, 6421, 6422, 6423, 6424, 6425, 6442, 6443, 6438, 6439, 6440, 6441, 6387, 6386, 6384, 6385, 6388, 6389, 6469, 6468, 6470, 6471, 6473, 6472, 6460, 6461, 6456, 6457, 6458, 6459, 6509, 6508, 6506, 6507, 6505, 6504, 6480, 6481, 6482, 6483, 6484, 6485, 6390, 6391, 6394, 6395, 6392, 6393, 6429, 6428, 6426, 6427, 6430, 6431, 6447, 6446, 6448, 6449, 6445, 6444, 6515, 6514, 6510, 6511, 6513, 6512, 6495, 6494, 6493, 6492, 6496, 6497, 6411, 6410, 6412, 6413, 6409, 6408, 6475, 6474, 6479, 6478, 6476, 6477, 6366, 6367, 6369, 6368, 6371, 6370, 6499, 6498, 6500, 6501, 6503, 6502, 6452, 6453, 6450, 6451, 6454, 6455, 6348, 6349, 6351, 6350, 6353, 6352, 6415, 6414, 6418, 6419, 6416, 6417, 6361, 6360, 6362, 6363, 6364, 6365, 6466, 6467, 6464, 6465, 6463, 6462, 6516, 6517, 6518, 6519, 6521, 6520, 6490, 6491, 6487, 6486, 6489, 6488, 6404, 6405, 6402, 6403, 6406, 6407, 6357, 6356, 6358, 6359, 6355, 6354, 6345, 6344, 6343, 6342, 6346, 6347, 6400, 6401, 6398, 6399, 6397, 6396, 3075, 3074, 3076, 3077, 3073, 3072, 3123, 3122, 3121, 3120, 3124, 3125, 3258, 3259, 3260, 3261, 3262, 3263, 3171, 3170, 3172, 3173, 3169, 3168, 3190, 3191, 3189, 3188, 3187, 3186, 3184, 3185, 3182, 3183, 3181, 3180, 3175, 3174, 3178, 3179] +private def clayworthR_fwd_c2 : Array (Fin 12096) := #[3177, 3176, 3105, 3104, 3106, 3107, 3103, 3102, 3136, 3137, 3132, 3133, 3134, 3135, 3218, 3219, 3220, 3221, 3216, 3217, 3128, 3129, 3127, 3126, 3131, 3130, 3140, 3141, 3139, 3138, 3142, 3143, 3195, 3194, 3196, 3197, 3192, 3193, 3111, 3110, 3113, 3112, 3109, 3108, 3159, 3158, 3156, 3157, 3160, 3161, 3208, 3209, 3206, 3207, 3205, 3204, 3228, 3229, 3233, 3232, 3231, 3230, 3210, 3211, 3213, 3212, 3214, 3215, 3224, 3225, 3223, 3222, 3226, 3227, 3166, 3167, 3164, 3165, 3163, 3162, 3116, 3117, 3118, 3119, 3114, 3115, 3096, 3097, 3100, 3101, 3099, 3098, 3247, 3246, 3249, 3248, 3251, 3250, 3079, 3078, 3082, 3083, 3080, 3081, 3085, 3084, 3086, 3087, 3089, 3088, 3203, 3202, 3201, 3200, 3198, 3199, 3252, 3253, 3256, 3257, 3255, 3254, 3244, 3245, 3241, 3240, 3243, 3242, 3155, 3154, 3153, 3152, 3151, 3150, 3147, 3146, 3148, 3149, 3144, 3145, 3236, 3237, 3238, 3239, 3234, 3235, 3092, 3093, 3094, 3095, 3090, 3091, 5984, 5985, 5982, 5983, 5987, 5986, 6140, 6141, 6143, 6142, 6138, 6139, 6026, 6027, 6029, 6028, 6025, 6024, 6073, 6072, 6077, 6076, 6074, 6075, 6012, 6013, 6014, 6015, 6016, 6017, 6039, 6038, 6040, 6041, 6037, 6036, 6033, 6032, 6035, 6034, 6030, 6031, 6115, 6114, 6118, 6119, 6116, 6117, 5973, 5972, 5975, 5974, 5971, 5970, 6054, 6055, 6057, 6056, 6059, 6058, 5962, 5963, 5961, 5960, 5959, 5958, 6019, 6018, 6023, 6022, 6021, 6020, 5991, 5990, 5992, 5993, 5988, 5989, 6044, 6045, 6047, 6046, 6042, 6043, 6128, 6129, 6131, 6130, 6127, 6126, 6123, 6122, 6125, 6124, 6121, 6120, 6111, 6110, 6109, 6108, 6112, 6113, 6003, 6002, 6005, 6004, 6001, 6000, 6069, 6068, 6070, 6071, 6066, 6067, 6091, 6090, 6095, 6094, 6093, 6092, 6079, 6078, 6081, 6080, 6082, 6083, 6089, 6088, 6084, 6085, 6086, 6087, 5965, 5964, 5968, 5969, 5967, 5966, 6052, 6053, 6048, 6049, 6050, 6051, 5954, 5955, 5952, 5953, 5957, 5956, 5981, 5980, 5979, 5978, 5977, 5976, 6008, 6009, 6006, 6007, 6010, 6011, 6133, 6132, 6135, 6134, 6136, 6137, 6061, 6060, 6063, 6062, 6065, 6064, 6107, 6106, 6102, 6103, 6105, 6104, 6099, 6098, 6100, 6101, 6097, 6096, 5999, 5998, 5996, 5997, 5994, 5995, 8461, 8460, 8464, 8465, 8463, 8462, 8551, 8550, 8554, 8555, 8553, 8552, 8526, 8527, 8529, 8528, 8530, 8531, 8522, 8523, 8520, 8521, 8525, 8524, 8563, 8562, 8566, 8567, 8564, 8565, 8561, 8560, 8559, 8558, 8557, 8556, 8596, 8597, 8592, 8593, 8594, 8595, 8451, 8450, 8452, 8453, 8448, 8449, 8502, 8503, 8505, 8504, 8506, 8507, 8569, 8568, 8571, 8570, 8573, 8572, 8471, 8470, 8468, 8469, 8467, 8466, 8496, 8497, 8501, 8500, 8499, 8498, 8537, 8536, 8535, 8534, 8533, 8532, 8613, 8612, 8610, 8611, 8615, 8614, 8548, 8549, 8544, 8545, 8546, 8547, 8630, 8631, 8632, 8633, 8629, 8628, 8624, 8625, 8626, 8627, 8622, 8623, 8514, 8515, 8517, 8516, 8518, 8519, 8590, 8591, 8589, 8588, 8586, 8587, 8605, 8604, 8609, 8608, 8606, 8607, 8603, 8602, 8600, 8601, 8598, 8599, 8541, 8540, 8542, 8543, 8538, 8539, 8493, 8492, 8491, 8490, 8494, 8495, 8486, 8487, 8485, 8484, 8488, 8489, 8458, 8459, 8454, 8455, 8456, 8457, 8481, 8480, 8479, 8478, 8483, 8482] +private def clayworthR_fwd_c3 : Array (Fin 12096) := #[8584, 8585, 8583, 8582, 8580, 8581, 8637, 8636, 8638, 8639, 8634, 8635, 8574, 8575, 8578, 8579, 8577, 8576, 8616, 8617, 8620, 8621, 8619, 8618, 8472, 8473, 8476, 8477, 8474, 8475, 8512, 8513, 8509, 8508, 8510, 8511, 5186, 5187, 5188, 5189, 5184, 5185, 5197, 5196, 5200, 5201, 5198, 5199, 5276, 5277, 5278, 5279, 5274, 5275, 5312, 5313, 5311, 5310, 5314, 5315, 5265, 5264, 5263, 5262, 5266, 5267, 5295, 5294, 5296, 5297, 5293, 5292, 5290, 5291, 5288, 5289, 5287, 5286, 5324, 5325, 5326, 5327, 5322, 5323, 5282, 5283, 5280, 5281, 5285, 5284, 5320, 5321, 5319, 5318, 5317, 5316, 5365, 5364, 5368, 5369, 5366, 5367, 5192, 5193, 5195, 5194, 5191, 5190, 5218, 5219, 5214, 5215, 5216, 5217, 5222, 5223, 5224, 5225, 5220, 5221, 5360, 5361, 5359, 5358, 5362, 5363, 5272, 5273, 5269, 5268, 5270, 5271, 5343, 5342, 5345, 5344, 5340, 5341, 5229, 5228, 5231, 5230, 5226, 5227, 5301, 5300, 5302, 5303, 5298, 5299, 5357, 5356, 5355, 5354, 5352, 5353, 5252, 5253, 5254, 5255, 5251, 5250, 5330, 5331, 5332, 5333, 5328, 5329, 5257, 5256, 5261, 5260, 5259, 5258, 5205, 5204, 5203, 5202, 5207, 5206, 5308, 5309, 5306, 5307, 5305, 5304, 5374, 5375, 5370, 5371, 5372, 5373, 5351, 5350, 5347, 5346, 5349, 5348, 5249, 5248, 5245, 5244, 5246, 5247, 5242, 5243, 5238, 5239, 5240, 5241, 5339, 5338, 5334, 5335, 5336, 5337, 5213, 5212, 5208, 5209, 5211, 5210, 5236, 5237, 5235, 5234, 5232, 5233, 5040, 5041, 5042, 5043, 5044, 5045, 5092, 5093, 5088, 5089, 5090, 5091, 5128, 5129, 5124, 5125, 5127, 5126, 5064, 5065, 5067, 5066, 5069, 5068, 5100, 5101, 5105, 5104, 5102, 5103, 5145, 5144, 5147, 5146, 5142, 5143, 5097, 5096, 5095, 5094, 5098, 5099, 5138, 5139, 5140, 5141, 5136, 5137, 4995, 4994, 4993, 4992, 4997, 4996, 5086, 5087, 5082, 5083, 5084, 5085, 5032, 5033, 5028, 5029, 5031, 5030, 5160, 5161, 5163, 5162, 5164, 5165, 5075, 5074, 5073, 5072, 5071, 5070, 5047, 5046, 5050, 5051, 5048, 5049, 5080, 5081, 5077, 5076, 5079, 5078, 5108, 5109, 5111, 5110, 5106, 5107, 5035, 5034, 5036, 5037, 5039, 5038, 5151, 5150, 5149, 5148, 5153, 5152, 5175, 5174, 5177, 5176, 5172, 5173, 5171, 5170, 5166, 5167, 5168, 5169, 5061, 5060, 5063, 5062, 5058, 5059, 5123, 5122, 5120, 5121, 5119, 5118, 5130, 5131, 5134, 5135, 5132, 5133, 5023, 5022, 5026, 5027, 5025, 5024, 5154, 5155, 5156, 5157, 5159, 5158, 5011, 5010, 5015, 5014, 5013, 5012, 5117, 5116, 5114, 5115, 5112, 5113, 5178, 5179, 5181, 5180, 5183, 5182, 5005, 5004, 5009, 5008, 5007, 5006, 4999, 4998, 5001, 5000, 5003, 5002, 5020, 5021, 5016, 5017, 5018, 5019, 5056, 5057, 5055, 5054, 5052, 5053, 6933, 6932, 6930, 6931, 6935, 6934, 7099, 7098, 7102, 7103, 7101, 7100, 6962, 6963, 6965, 6964, 6961, 6960, 7015, 7014, 7018, 7019, 7017, 7016, 6994, 6995, 6993, 6992, 6991, 6990, 7027, 7026, 7030, 7031, 7028, 7029, 7056, 7057, 7061, 7060, 7058, 7059, 7023, 7022, 7021, 7020, 7025, 7024, 7087, 7086, 7090, 7091, 7089, 7088, 6913, 6912, 6917, 6916, 6915, 6914, 6950, 6951, 6948, 6949, 6952, 6953, 7036, 7037, 7034, 7035, 7033, 7032, 6997, 6996, 7001, 7000, 6998, 6999, 6966, 6967] +private def clayworthR_fwd_c4 : Array (Fin 12096) := #[6970, 6971, 6968, 6969, 7009, 7008, 7012, 7013, 7011, 7010, 6984, 6985, 6989, 6988, 6986, 6987, 7076, 7077, 7078, 7079, 7074, 7075, 6980, 6981, 6983, 6982, 6979, 6978, 7047, 7046, 7045, 7044, 7048, 7049, 7053, 7052, 7051, 7050, 7055, 7054, 7006, 7007, 7005, 7004, 7002, 7003, 7083, 7082, 7085, 7084, 7081, 7080, 6926, 6927, 6924, 6925, 6929, 6928, 6959, 6958, 6956, 6957, 6955, 6954, 7095, 7094, 7092, 7093, 7097, 7096, 7072, 7073, 7068, 7069, 7070, 7071, 6977, 6976, 6974, 6975, 6973, 6972, 6937, 6936, 6940, 6941, 6939, 6938, 7040, 7041, 7042, 7043, 7038, 7039, 6919, 6918, 6921, 6920, 6922, 6923, 7065, 7064, 7066, 7067, 7062, 7063, 6945, 6944, 6946, 6947, 6943, 6942, 6763, 6762, 6764, 6765, 6766, 6767, 6770, 6771, 6773, 6772, 6768, 6769, 6872, 6873, 6871, 6870, 6874, 6875, 6810, 6811, 6814, 6815, 6813, 6812, 6806, 6807, 6804, 6805, 6809, 6808, 6844, 6845, 6842, 6843, 6841, 6840, 6838, 6839, 6837, 6836, 6835, 6834, 6884, 6885, 6887, 6886, 6883, 6882, 6723, 6722, 6721, 6720, 6725, 6724, 6755, 6754, 6751, 6750, 6752, 6753, 6829, 6828, 6831, 6830, 6832, 6833, 6747, 6746, 6749, 6748, 6745, 6744, 6776, 6777, 6775, 6774, 6779, 6778, 6854, 6855, 6856, 6857, 6852, 6853, 6737, 6736, 6734, 6735, 6732, 6733, 6820, 6821, 6816, 6817, 6818, 6819, 6879, 6878, 6877, 6876, 6881, 6880, 6891, 6890, 6889, 6888, 6893, 6892, 6826, 6827, 6822, 6823, 6824, 6825, 6760, 6761, 6759, 6758, 6757, 6756, 6901, 6900, 6902, 6903, 6905, 6904, 6850, 6851, 6849, 6848, 6846, 6847, 6801, 6800, 6803, 6802, 6798, 6799, 6738, 6739, 6742, 6743, 6741, 6740, 6868, 6869, 6866, 6867, 6864, 6865, 6907, 6906, 6910, 6911, 6909, 6908, 6796, 6797, 6792, 6793, 6795, 6794, 6789, 6788, 6791, 6790, 6787, 6786, 6861, 6860, 6863, 6862, 6858, 6859, 6727, 6726, 6729, 6728, 6731, 6730, 6898, 6899, 6895, 6894, 6897, 6896, 6785, 6784, 6781, 6780, 6782, 6783, 9409, 9408, 9410, 9411, 9413, 9412, 9428, 9429, 9426, 9427, 9430, 9431, 9597, 9596, 9599, 9598, 9594, 9595, 9486, 9487, 9488, 9489, 9490, 9491, 9483, 9482, 9481, 9480, 9484, 9485, 9507, 9506, 9508, 9509, 9504, 9505, 9500, 9501, 9499, 9498, 9502, 9503, 9542, 9543, 9544, 9545, 9540, 9541, 9577, 9576, 9579, 9578, 9580, 9581, 9454, 9455, 9450, 9451, 9452, 9453, 9492, 9493, 9496, 9497, 9494, 9495, 9459, 9458, 9460, 9461, 9457, 9456, 9558, 9559, 9560, 9561, 9562, 9563, 9444, 9445, 9446, 9447, 9449, 9448, 9565, 9564, 9566, 9567, 9568, 9569, 9587, 9586, 9582, 9583, 9585, 9584, 9478, 9479, 9474, 9475, 9477, 9476, 9465, 9464, 9467, 9466, 9463, 9462, 9530, 9531, 9528, 9529, 9532, 9533, 9553, 9552, 9555, 9554, 9557, 9556, 9538, 9539, 9534, 9535, 9536, 9537, 9548, 9549, 9551, 9550, 9547, 9546, 9573, 9572, 9574, 9575, 9571, 9570, 9511, 9510, 9515, 9514, 9513, 9512, 9425, 9424, 9420, 9421, 9422, 9423, 9469, 9468, 9473, 9472, 9470, 9471, 9526, 9527, 9524, 9525, 9522, 9523, 9592, 9593, 9589, 9588, 9591, 9590, 9436, 9437, 9435, 9434, 9432, 9433, 9519, 9518, 9521, 9520, 9516, 9517, 9416, 9417, 9418, 9419, 9415, 9414, 9443, 9442, 9438, 9439, 9441, 9440, 6549, 6548, 6546, 6547] +private def clayworthR_fwd_c5 : Array (Fin 12096) := #[6550, 6551, 6582, 6583, 6587, 6586, 6584, 6585, 6716, 6717, 6718, 6719, 6715, 6714, 6588, 6589, 6591, 6590, 6593, 6592, 6637, 6636, 6640, 6641, 6639, 6638, 6693, 6692, 6691, 6690, 6695, 6694, 6630, 6631, 6635, 6634, 6632, 6633, 6627, 6626, 6625, 6624, 6628, 6629, 6653, 6652, 6649, 6648, 6651, 6650, 6642, 6643, 6647, 6646, 6645, 6644, 6708, 6709, 6710, 6711, 6713, 6712, 6530, 6531, 6529, 6528, 6532, 6533, 6573, 6572, 6574, 6575, 6570, 6571, 6705, 6704, 6706, 6707, 6702, 6703, 6597, 6596, 6595, 6594, 6598, 6599, 6602, 6603, 6601, 6600, 6604, 6605, 6657, 6656, 6659, 6658, 6655, 6654, 6619, 6618, 6620, 6621, 6622, 6623, 6689, 6688, 6686, 6687, 6685, 6684, 6698, 6699, 6696, 6697, 6700, 6701, 6569, 6568, 6567, 6566, 6565, 6564, 6665, 6664, 6661, 6660, 6663, 6662, 6545, 6544, 6541, 6540, 6542, 6543, 6579, 6578, 6580, 6581, 6577, 6576, 6560, 6561, 6558, 6559, 6562, 6563, 6681, 6680, 6678, 6679, 6683, 6682, 6670, 6671, 6668, 6669, 6666, 6667, 6615, 6614, 6612, 6613, 6617, 6616, 6553, 6552, 6556, 6557, 6555, 6554, 6675, 6674, 6676, 6677, 6672, 6673, 6535, 6534, 6536, 6537, 6538, 6539, 6611, 6610, 6609, 6608, 6607, 6606, 8834, 8835, 8832, 8833, 8836, 8837, 8863, 8862, 8865, 8864, 8866, 8867, 8958, 8959, 8960, 8961, 8962, 8963, 8905, 8904, 8908, 8909, 8907, 8906, 8902, 8903, 8898, 8899, 8900, 8901, 8922, 8923, 8927, 8926, 8925, 8924, 8978, 8979, 8976, 8977, 8980, 8981, 8855, 8854, 8851, 8850, 8852, 8853, 8921, 8920, 8916, 8917, 8918, 8919, 8878, 8879, 8874, 8875, 8876, 8877, 8935, 8934, 8938, 8939, 8937, 8936, 8873, 8872, 8868, 8869, 8870, 8871, 9012, 9013, 9017, 9016, 9014, 9015, 8914, 8915, 8911, 8910, 8912, 8913, 8931, 8930, 8933, 8932, 8928, 8929, 8844, 8845, 8846, 8847, 8849, 8848, 9023, 9022, 9019, 9018, 9020, 9021, 9004, 9005, 9002, 9003, 9001, 9000, 8893, 8892, 8895, 8894, 8896, 8897, 8957, 8956, 8954, 8955, 8952, 8953, 8983, 8982, 8984, 8985, 8987, 8986, 8968, 8969, 8965, 8964, 8966, 8967, 8970, 8971, 8973, 8972, 8974, 8975, 8859, 8858, 8860, 8861, 8856, 8857, 9009, 9008, 9011, 9010, 9006, 9007, 8940, 8941, 8945, 8944, 8942, 8943, 8995, 8994, 8997, 8996, 8999, 8998, 8890, 8891, 8887, 8886, 8888, 8889, 8884, 8885, 8880, 8881, 8883, 8882, 8839, 8838, 8842, 8843, 8840, 8841, 8949, 8948, 8951, 8950, 8947, 8946, 8992, 8993, 8988, 8989, 8990, 8991, 11238, 11239, 11242, 11243, 11241, 11240, 11226, 11227, 11228, 11229, 11231, 11230, 11255, 11254, 11252, 11253, 11251, 11250, 11284, 11285, 11281, 11280, 11283, 11282, 11137, 11136, 11141, 11140, 11139, 11138, 11170, 11171, 11167, 11166, 11169, 11168, 11245, 11244, 11248, 11249, 11247, 11246, 11158, 11159, 11155, 11154, 11156, 11157, 11194, 11195, 11192, 11193, 11190, 11191, 11272, 11273, 11268, 11269, 11270, 11271, 11188, 11189, 11186, 11187, 11184, 11185, 11310, 11311, 11313, 11312, 11315, 11314, 11237, 11236, 11233, 11232, 11235, 11234, 11198, 11199, 11201, 11200, 11197, 11196, 11160, 11161, 11163, 11162, 11165, 11164, 11304, 11305, 11307, 11306, 11308, 11309, 11323, 11322, 11327, 11326, 11325, 11324, 11320, 11321, 11317, 11316, 11318, 11319, 11220, 11221, 11222, 11223, 11224, 11225, 11215, 11214, 11216, 11217, 11219, 11218] +private def clayworthR_fwd_c6 : Array (Fin 12096) := #[11291, 11290, 11289, 11288, 11286, 11287, 11275, 11274, 11276, 11277, 11278, 11279, 11172, 11173, 11177, 11176, 11175, 11174, 11257, 11256, 11261, 11260, 11259, 11258, 11149, 11148, 11152, 11153, 11150, 11151, 11182, 11183, 11181, 11180, 11178, 11179, 11267, 11266, 11263, 11262, 11265, 11264, 11302, 11303, 11299, 11298, 11301, 11300, 11212, 11213, 11210, 11211, 11208, 11209, 11143, 11142, 11145, 11144, 11147, 11146, 11295, 11294, 11297, 11296, 11292, 11293, 11207, 11206, 11204, 11205, 11202, 11203, 196, 197, 194, 195, 192, 193, 380, 381, 383, 382, 379, 378, 332, 333, 331, 330, 334, 335, 271, 270, 272, 273, 275, 274, 267, 266, 265, 264, 269, 268, 311, 310, 307, 306, 309, 308, 305, 304, 303, 302, 301, 300, 297, 296, 294, 295, 298, 299, 361, 360, 363, 362, 365, 364, 222, 223, 227, 226, 225, 224, 288, 289, 290, 291, 292, 293, 218, 219, 220, 221, 217, 216, 341, 340, 337, 336, 338, 339, 313, 312, 317, 316, 315, 314, 356, 357, 354, 355, 359, 358, 283, 282, 286, 287, 284, 285, 377, 376, 373, 372, 374, 375, 371, 370, 366, 367, 369, 368, 260, 261, 259, 258, 263, 262, 345, 344, 347, 346, 343, 342, 253, 252, 254, 255, 256, 257, 280, 281, 277, 276, 279, 278, 229, 228, 233, 232, 230, 231, 349, 348, 351, 350, 353, 352, 198, 199, 200, 201, 202, 203, 238, 239, 235, 234, 237, 236, 205, 204, 209, 208, 207, 206, 326, 327, 324, 325, 329, 328, 318, 319, 321, 320, 323, 322, 246, 247, 248, 249, 250, 251, 212, 213, 215, 214, 210, 211, 244, 245, 241, 240, 242, 243, 2306, 2307, 2308, 2309, 2305, 2304, 2352, 2353, 2354, 2355, 2356, 2357, 2387, 2386, 2385, 2384, 2383, 2382, 2376, 2377, 2378, 2379, 2380, 2381, 2404, 2405, 2403, 2402, 2401, 2400, 2458, 2459, 2456, 2457, 2454, 2455, 2394, 2395, 2397, 2396, 2398, 2399, 2445, 2444, 2447, 2446, 2442, 2443, 2479, 2478, 2481, 2480, 2482, 2483, 2312, 2313, 2315, 2314, 2311, 2310, 2392, 2393, 2388, 2389, 2390, 2391, 2339, 2338, 2335, 2334, 2336, 2337, 2366, 2367, 2364, 2365, 2369, 2368, 2448, 2449, 2452, 2453, 2450, 2451, 2419, 2418, 2423, 2422, 2420, 2421, 2361, 2360, 2363, 2362, 2358, 2359, 2474, 2475, 2473, 2472, 2477, 2476, 2469, 2468, 2471, 2470, 2466, 2467, 2409, 2408, 2411, 2410, 2406, 2407, 2488, 2489, 2485, 2484, 2486, 2487, 2438, 2439, 2437, 2436, 2441, 2440, 2344, 2345, 2342, 2343, 2340, 2341, 2333, 2332, 2331, 2330, 2328, 2329, 2417, 2416, 2413, 2412, 2414, 2415, 2316, 2317, 2320, 2321, 2319, 2318, 2350, 2351, 2348, 2349, 2346, 2347, 2370, 2371, 2372, 2373, 2374, 2375, 2491, 2490, 2492, 2493, 2495, 2494, 2424, 2425, 2426, 2427, 2429, 2428, 2433, 2432, 2434, 2435, 2431, 2430, 2462, 2463, 2465, 2464, 2461, 2460, 2327, 2326, 2322, 2323, 2325, 2324, 6148, 6149, 6146, 6147, 6144, 6145, 6175, 6174, 6177, 6176, 6178, 6179, 6333, 6332, 6334, 6335, 6331, 6330, 6230, 6231, 6232, 6233, 6228, 6229, 6210, 6211, 6214, 6215, 6212, 6213, 6239, 6238, 6237, 6236, 6234, 6235, 6282, 6283, 6286, 6287, 6284, 6285, 6272, 6273] +private def clayworthR_fwd_c7 : Array (Fin 12096) := #[6275, 6274, 6270, 6271, 6313, 6312, 6316, 6317, 6315, 6314, 6152, 6153, 6150, 6151, 6154, 6155, 6170, 6171, 6172, 6173, 6168, 6169, 6185, 6184, 6180, 6181, 6183, 6182, 6247, 6246, 6251, 6250, 6248, 6249, 6310, 6311, 6309, 6308, 6307, 6306, 6190, 6191, 6186, 6187, 6188, 6189, 6225, 6224, 6222, 6223, 6226, 6227, 6300, 6301, 6303, 6302, 6304, 6305, 6318, 6319, 6321, 6320, 6322, 6323, 6209, 6208, 6204, 6205, 6207, 6206, 6200, 6201, 6203, 6202, 6199, 6198, 6292, 6293, 6291, 6290, 6289, 6288, 6276, 6277, 6278, 6279, 6280, 6281, 6216, 6217, 6218, 6219, 6220, 6221, 6162, 6163, 6166, 6167, 6164, 6165, 6244, 6245, 6243, 6242, 6241, 6240, 6268, 6269, 6266, 6267, 6264, 6265, 6325, 6324, 6326, 6327, 6328, 6329, 6252, 6253, 6255, 6254, 6257, 6256, 6197, 6196, 6192, 6193, 6195, 6194, 6260, 6261, 6263, 6262, 6259, 6258, 6157, 6156, 6159, 6158, 6160, 6161, 6298, 6299, 6294, 6295, 6297, 6296, 1969, 1968, 1970, 1971, 1973, 1972, 1977, 1976, 1978, 1979, 1975, 1974, 1994, 1995, 1992, 1993, 1997, 1996, 2020, 2021, 2018, 2019, 2016, 2017, 2011, 2010, 2015, 2014, 2013, 2012, 2089, 2088, 2090, 2091, 2092, 2093, 1923, 1922, 1924, 1925, 1920, 1921, 1961, 1960, 1956, 1957, 1959, 1958, 2056, 2057, 2053, 2052, 2054, 2055, 1935, 1934, 1932, 1933, 1937, 1936, 2082, 2083, 2084, 2085, 2087, 2086, 2003, 2002, 2000, 2001, 1999, 1998, 2066, 2067, 2064, 2065, 2069, 2068, 1982, 1983, 1984, 1985, 1980, 1981, 2025, 2024, 2027, 2026, 2023, 2022, 1951, 1950, 1955, 1954, 1953, 1952, 2074, 2075, 2073, 2072, 2071, 2070, 2102, 2103, 2100, 2101, 2104, 2105, 2096, 2097, 2098, 2099, 2095, 2094, 2079, 2078, 2081, 2080, 2077, 2076, 2049, 2048, 2047, 2046, 2051, 2050, 2058, 2059, 2062, 2063, 2061, 2060, 2009, 2008, 2007, 2006, 2004, 2005, 1966, 1967, 1965, 1964, 1962, 1963, 1927, 1926, 1928, 1929, 1931, 1930, 2044, 2045, 2042, 2043, 2040, 2041, 2107, 2106, 2110, 2111, 2108, 2109, 2029, 2028, 2033, 2032, 2030, 2031, 1991, 1990, 1987, 1986, 1989, 1988, 1938, 1939, 1942, 1943, 1941, 1940, 2038, 2039, 2036, 2037, 2034, 2035, 1944, 1945, 1947, 1946, 1948, 1949, 3458, 3459, 3460, 3461, 3456, 3457, 3474, 3475, 3478, 3479, 3476, 3477, 3505, 3504, 3507, 3506, 3508, 3509, 3562, 3563, 3560, 3561, 3559, 3558, 3510, 3511, 3514, 3515, 3512, 3513, 3596, 3597, 3599, 3598, 3594, 3595, 3569, 3568, 3566, 3567, 3565, 3564, 3602, 3603, 3604, 3605, 3600, 3601, 3634, 3635, 3632, 3633, 3630, 3631, 3496, 3497, 3493, 3492, 3494, 3495, 3557, 3556, 3553, 3552, 3554, 3555, 3579, 3578, 3580, 3581, 3577, 3576, 3520, 3521, 3518, 3519, 3516, 3517, 3544, 3545, 3543, 3542, 3540, 3541, 3612, 3613, 3615, 3614, 3616, 3617, 3573, 3572, 3575, 3574, 3571, 3570, 3487, 3486, 3490, 3491, 3488, 3489, 3642, 3643, 3644, 3645, 3646, 3647, 3641, 3640, 3636, 3637, 3639, 3638, 3538, 3539, 3536, 3537, 3535, 3534, 3548, 3549, 3551, 3550, 3547, 3546, 3483, 3482, 3481, 3480, 3485, 3484, 3626, 3627, 3629, 3628, 3625, 3624, 3469, 3468, 3472, 3473, 3471, 3470, 3503, 3502, 3501, 3500, 3499, 3498, 3593, 3592, 3589, 3588, 3590, 3591, 3623, 3622, 3618, 3619] +private def clayworthR_fwd_c8 : Array (Fin 12096) := #[3621, 3620, 3532, 3533, 3530, 3531, 3528, 3529, 3584, 3585, 3586, 3587, 3582, 3583, 3465, 3464, 3463, 3462, 3467, 3466, 3609, 3608, 3610, 3611, 3606, 3607, 3527, 3526, 3524, 3525, 3523, 3522, 9026, 9027, 9029, 9028, 9024, 9025, 9044, 9045, 9047, 9046, 9043, 9042, 9084, 9085, 9089, 9088, 9086, 9087, 9149, 9148, 9147, 9146, 9144, 9145, 9092, 9093, 9094, 9095, 9090, 9091, 9152, 9153, 9154, 9155, 9151, 9150, 9206, 9207, 9208, 9209, 9204, 9205, 9032, 9033, 9035, 9034, 9031, 9030, 9076, 9077, 9072, 9073, 9074, 9075, 9068, 9069, 9071, 9070, 9066, 9067, 9166, 9167, 9162, 9163, 9165, 9164, 9051, 9050, 9053, 9052, 9049, 9048, 9099, 9098, 9097, 9096, 9101, 9100, 9200, 9201, 9198, 9199, 9203, 9202, 9188, 9189, 9190, 9191, 9186, 9187, 9104, 9105, 9103, 9102, 9106, 9107, 9143, 9142, 9140, 9141, 9139, 9138, 9195, 9194, 9197, 9196, 9193, 9192, 9213, 9212, 9215, 9214, 9211, 9210, 9134, 9135, 9132, 9133, 9136, 9137, 9126, 9127, 9128, 9129, 9130, 9131, 9172, 9173, 9169, 9168, 9171, 9170, 9174, 9175, 9179, 9178, 9176, 9177, 9079, 9078, 9083, 9082, 9080, 9081, 9159, 9158, 9157, 9156, 9161, 9160, 9036, 9037, 9040, 9041, 9038, 9039, 9060, 9061, 9062, 9063, 9064, 9065, 9124, 9125, 9121, 9120, 9122, 9123, 9117, 9116, 9118, 9119, 9114, 9115, 9057, 9056, 9059, 9058, 9054, 9055, 9183, 9182, 9184, 9185, 9181, 9180, 9112, 9113, 9111, 9110, 9109, 9108, 7537, 7536, 7539, 7538, 7541, 7540, 7588, 7589, 7586, 7587, 7584, 7585, 7573, 7572, 7577, 7576, 7574, 7575, 7621, 7620, 7625, 7624, 7623, 7622, 7601, 7600, 7596, 7597, 7598, 7599, 7590, 7591, 7594, 7595, 7592, 7593, 7629, 7628, 7630, 7631, 7627, 7626, 7491, 7490, 7493, 7492, 7489, 7488, 7529, 7528, 7524, 7525, 7527, 7526, 7579, 7578, 7580, 7581, 7583, 7582, 7546, 7547, 7543, 7542, 7545, 7544, 7632, 7633, 7635, 7634, 7636, 7637, 7501, 7500, 7504, 7505, 7503, 7502, 7652, 7653, 7654, 7655, 7650, 7651, 7570, 7571, 7569, 7568, 7567, 7566, 7671, 7670, 7673, 7672, 7669, 7668, 7560, 7561, 7565, 7564, 7562, 7563, 7658, 7659, 7660, 7661, 7657, 7656, 7556, 7557, 7558, 7559, 7554, 7555, 7618, 7619, 7617, 7616, 7615, 7614, 7639, 7638, 7642, 7643, 7641, 7640, 7663, 7662, 7665, 7664, 7666, 7667, 7604, 7605, 7603, 7602, 7607, 7606, 7496, 7497, 7495, 7494, 7498, 7499, 7534, 7535, 7532, 7533, 7531, 7530, 7513, 7512, 7515, 7514, 7517, 7516, 7675, 7674, 7677, 7676, 7678, 7679, 7552, 7553, 7548, 7549, 7550, 7551, 7507, 7506, 7508, 7509, 7511, 7510, 7611, 7610, 7613, 7612, 7608, 7609, 7647, 7646, 7648, 7649, 7644, 7645, 7521, 7520, 7522, 7523, 7519, 7518, 964, 965, 963, 962, 961, 960, 980, 981, 982, 983, 979, 978, 1043, 1042, 1041, 1040, 1038, 1039, 1089, 1088, 1091, 1090, 1086, 1087, 1048, 1049, 1046, 1047, 1045, 1044, 989, 988, 987, 986, 984, 985, 1101, 1100, 1103, 1102, 1099, 1098, 1056, 1057, 1059, 1058, 1061, 1060, 1030, 1031, 1026, 1027, 1028, 1029, 1116, 1117, 1118, 1119, 1121, 1120, 1004, 1005, 1006, 1007, 1003, 1002, 1037, 1036, 1034, 1035, 1033, 1032, 990, 991, 992, 993, 995, 994, 1124, 1125, 1122, 1123, 1127, 1126] +private def clayworthR_fwd_c9 : Array (Fin 12096) := #[1143, 1142, 1145, 1144, 1140, 1141, 1131, 1130, 1133, 1132, 1129, 1128, 1084, 1085, 1082, 1083, 1081, 1080, 1104, 1105, 1108, 1109, 1106, 1107, 1096, 1097, 1093, 1092, 1095, 1094, 1001, 1000, 998, 999, 997, 996, 1136, 1137, 1139, 1138, 1134, 1135, 1050, 1051, 1052, 1053, 1054, 1055, 975, 974, 972, 973, 976, 977, 1023, 1022, 1025, 1024, 1021, 1020, 1079, 1078, 1076, 1077, 1075, 1074, 1148, 1149, 1150, 1151, 1147, 1146, 1063, 1062, 1065, 1064, 1067, 1066, 1016, 1017, 1018, 1019, 1015, 1014, 1073, 1072, 1070, 1071, 1068, 1069, 969, 968, 971, 970, 967, 966, 1113, 1112, 1114, 1115, 1111, 1110, 1012, 1013, 1011, 1010, 1009, 1008, 3265, 3264, 3267, 3266, 3269, 3268, 3314, 3315, 3312, 3313, 3317, 3316, 3319, 3318, 3321, 3320, 3322, 3323, 3397, 3396, 3398, 3399, 3401, 3400, 3370, 3371, 3366, 3367, 3368, 3369, 3423, 3422, 3425, 3424, 3420, 3421, 3379, 3378, 3383, 3382, 3380, 3381, 3404, 3405, 3402, 3403, 3407, 3406, 3438, 3439, 3440, 3441, 3442, 3443, 3299, 3298, 3295, 3294, 3296, 3297, 3324, 3325, 3326, 3327, 3328, 3329, 3411, 3410, 3409, 3408, 3413, 3412, 3427, 3426, 3428, 3429, 3430, 3431, 3332, 3333, 3331, 3330, 3334, 3335, 3376, 3377, 3373, 3372, 3375, 3374, 3289, 3288, 3293, 3292, 3291, 3290, 3445, 3444, 3449, 3448, 3447, 3446, 3363, 3362, 3360, 3361, 3365, 3364, 3395, 3394, 3391, 3390, 3392, 3393, 3419, 3418, 3416, 3417, 3414, 3415, 3302, 3303, 3300, 3301, 3305, 3304, 3310, 3311, 3306, 3307, 3308, 3309, 3355, 3354, 3357, 3356, 3358, 3359, 3451, 3450, 3452, 3453, 3455, 3454, 3384, 3385, 3386, 3387, 3388, 3389, 3432, 3433, 3434, 3435, 3437, 3436, 3353, 3352, 3351, 3350, 3349, 3348, 3344, 3345, 3342, 3343, 3346, 3347, 3276, 3277, 3280, 3281, 3279, 3278, 3273, 3272, 3271, 3270, 3275, 3274, 3286, 3287, 3282, 3283, 3284, 3285, 3340, 3341, 3338, 3339, 3336, 3337, 10963, 10962, 10966, 10967, 10964, 10965, 11061, 11060, 11062, 11063, 11059, 11058, 11034, 11035, 11038, 11039, 11037, 11036, 11028, 11029, 11031, 11030, 11032, 11033, 11084, 11085, 11086, 11087, 11083, 11082, 11120, 11121, 11123, 11122, 11119, 11118, 10944, 10945, 10949, 10948, 10946, 10947, 10990, 10991, 10987, 10986, 10989, 10988, 11057, 11056, 11052, 11053, 11055, 11054, 10982, 10983, 10985, 10984, 10980, 10981, 11088, 11089, 11093, 11092, 11090, 11091, 11009, 11008, 11004, 11005, 11006, 11007, 11050, 11051, 11046, 11047, 11048, 11049, 11066, 11067, 11069, 11068, 11065, 11064, 11106, 11107, 11110, 11111, 11108, 11109, 11128, 11129, 11124, 11125, 11126, 11127, 11116, 11117, 11112, 11113, 11114, 11115, 11081, 11080, 11077, 11076, 11078, 11079, 11097, 11096, 11099, 11098, 11095, 11094, 11044, 11045, 11040, 11041, 11042, 11043, 10997, 10996, 10994, 10995, 10993, 10992, 10974, 10975, 10976, 10977, 10979, 10978, 10957, 10956, 10959, 10958, 10960, 10961, 11001, 11000, 10998, 10999, 11003, 11002, 11025, 11024, 11023, 11022, 11026, 11027, 10971, 10970, 10969, 10968, 10973, 10972, 11130, 11131, 11132, 11133, 11135, 11134, 11103, 11102, 11105, 11104, 11101, 11100, 11021, 11020, 11017, 11016, 11019, 11018, 11011, 11010, 11012, 11013, 11015, 11014, 11075, 11074, 11070, 11071, 11072, 11073, 10950, 10951, 10952, 10953, 10955, 10954, 5383, 5382, 5387, 5386, 5384, 5385, 5424, 5425] +private def clayworthR_fwd_c10 : Array (Fin 12096) := #[5426, 5427, 5429, 5428, 5485, 5484, 5489, 5488, 5487, 5486, 5519, 5518, 5517, 5516, 5515, 5514, 5473, 5472, 5474, 5475, 5476, 5477, 5467, 5466, 5471, 5470, 5469, 5468, 5499, 5498, 5500, 5501, 5497, 5496, 5490, 5491, 5494, 5495, 5492, 5493, 5551, 5550, 5555, 5554, 5553, 5552, 5416, 5417, 5415, 5414, 5413, 5412, 5433, 5432, 5430, 5431, 5434, 5435, 5392, 5393, 5390, 5391, 5388, 5389, 5526, 5527, 5528, 5529, 5530, 5531, 5437, 5436, 5440, 5441, 5439, 5438, 5504, 5505, 5507, 5506, 5503, 5502, 5540, 5541, 5538, 5539, 5543, 5542, 5565, 5564, 5567, 5566, 5562, 5563, 5558, 5559, 5560, 5561, 5557, 5556, 5461, 5460, 5463, 5462, 5464, 5465, 5449, 5448, 5451, 5450, 5452, 5453, 5482, 5483, 5479, 5478, 5480, 5481, 5423, 5422, 5420, 5421, 5418, 5419, 5409, 5408, 5406, 5407, 5411, 5410, 5547, 5546, 5549, 5548, 5545, 5544, 5513, 5512, 5511, 5510, 5509, 5508, 5456, 5457, 5458, 5459, 5454, 5455, 5537, 5536, 5532, 5533, 5535, 5534, 5445, 5444, 5447, 5446, 5443, 5442, 5394, 5395, 5398, 5399, 5396, 5397, 5379, 5378, 5381, 5380, 5376, 5377, 5525, 5524, 5521, 5520, 5522, 5523, 5400, 5401, 5403, 5402, 5404, 5405, 9985, 9984, 9986, 9987, 9989, 9988, 9990, 9991, 9995, 9994, 9992, 9993, 10108, 10109, 10106, 10107, 10104, 10105, 10143, 10142, 10144, 10145, 10141, 10140, 10086, 10087, 10089, 10088, 10091, 10090, 10156, 10157, 10154, 10155, 10152, 10153, 10043, 10042, 10038, 10039, 10041, 10040, 10030, 10031, 10028, 10029, 10027, 10026, 10052, 10053, 10051, 10050, 10054, 10055, 10146, 10147, 10148, 10149, 10150, 10151, 10116, 10117, 10120, 10121, 10118, 10119, 9999, 9998, 9996, 9997, 10000, 10001, 10046, 10047, 10049, 10048, 10044, 10045, 10096, 10097, 10094, 10095, 10092, 10093, 10059, 10058, 10061, 10060, 10057, 10056, 10033, 10032, 10035, 10034, 10037, 10036, 10167, 10166, 10169, 10168, 10165, 10164, 10084, 10085, 10083, 10082, 10081, 10080, 10161, 10160, 10162, 10163, 10158, 10159, 10071, 10070, 10073, 10072, 10068, 10069, 10102, 10103, 10098, 10099, 10100, 10101, 10020, 10021, 10025, 10024, 10022, 10023, 10112, 10113, 10114, 10115, 10111, 10110, 10075, 10074, 10076, 10077, 10079, 10078, 10008, 10009, 10010, 10011, 10012, 10013, 10139, 10138, 10137, 10136, 10135, 10134, 10174, 10175, 10171, 10170, 10173, 10172, 10123, 10122, 10125, 10124, 10126, 10127, 10066, 10067, 10063, 10062, 10064, 10065, 10005, 10004, 10007, 10006, 10003, 10002, 10133, 10132, 10130, 10131, 10129, 10128, 10015, 10014, 10017, 10016, 10018, 10019, 3680, 3681, 3678, 3679, 3683, 3682, 3752, 3753, 3754, 3755, 3750, 3751, 3684, 3685, 3686, 3687, 3689, 3688, 3738, 3739, 3743, 3742, 3740, 3741, 3725, 3724, 3722, 3723, 3721, 3720, 3714, 3715, 3718, 3719, 3717, 3716, 3766, 3767, 3764, 3765, 3762, 3763, 3758, 3759, 3760, 3761, 3757, 3756, 3829, 3828, 3833, 3832, 3830, 3831, 3746, 3747, 3748, 3749, 3744, 3745, 3670, 3671, 3668, 3669, 3666, 3667, 3795, 3794, 3796, 3797, 3792, 3793, 3659, 3658, 3656, 3657, 3654, 3655, 3694, 3695, 3691, 3690, 3692, 3693, 3822, 3823, 3824, 3825, 3827, 3826, 3731, 3730, 3727, 3726, 3728, 3729, 3805, 3804, 3807, 3806, 3809, 3808, 3736, 3737, 3732, 3733, 3734, 3735, 3672, 3673, 3677, 3676, 3675, 3674, 3709, 3708, 3711, 3710, 3713, 3712, 3818, 3819, 3820, 3821] +private def clayworthR_fwd_c11 : Array (Fin 12096) := #[3816, 3817, 3705, 3704, 3706, 3707, 3703, 3702, 3790, 3791, 3786, 3787, 3789, 3788, 3661, 3660, 3663, 3662, 3665, 3664, 3785, 3784, 3782, 3783, 3780, 3781, 3835, 3834, 3836, 3837, 3839, 3838, 3769, 3768, 3773, 3772, 3771, 3770, 3814, 3815, 3811, 3810, 3812, 3813, 3698, 3699, 3701, 3700, 3697, 3696, 3779, 3778, 3776, 3777, 3774, 3775, 3650, 3651, 3649, 3648, 3653, 3652, 3802, 3803, 3798, 3799, 3800, 3801, 5763, 5762, 5764, 5765, 5761, 5760, 5781, 5780, 5783, 5782, 5779, 5778, 5860, 5861, 5856, 5857, 5859, 5858, 5882, 5883, 5880, 5881, 5884, 5885, 5845, 5844, 5849, 5848, 5846, 5847, 5866, 5867, 5863, 5862, 5865, 5864, 5895, 5894, 5892, 5893, 5896, 5897, 5766, 5767, 5770, 5771, 5769, 5768, 5852, 5853, 5855, 5854, 5850, 5851, 5902, 5903, 5899, 5898, 5901, 5900, 5869, 5868, 5873, 5872, 5870, 5871, 5787, 5786, 5788, 5789, 5785, 5784, 5824, 5825, 5821, 5820, 5823, 5822, 5944, 5945, 5942, 5943, 5940, 5941, 5826, 5827, 5830, 5831, 5828, 5829, 5925, 5924, 5923, 5922, 5926, 5927, 5840, 5841, 5838, 5839, 5842, 5843, 5933, 5932, 5930, 5931, 5929, 5928, 5887, 5886, 5891, 5890, 5888, 5889, 5905, 5904, 5906, 5907, 5909, 5908, 5811, 5810, 5809, 5808, 5813, 5812, 5802, 5803, 5805, 5804, 5807, 5806, 5936, 5937, 5938, 5939, 5935, 5934, 5819, 5818, 5817, 5816, 5815, 5814, 5946, 5947, 5948, 5949, 5950, 5951, 5874, 5875, 5879, 5878, 5876, 5877, 5916, 5917, 5920, 5921, 5918, 5919, 5790, 5791, 5794, 5795, 5792, 5793, 5773, 5772, 5775, 5774, 5776, 5777, 5915, 5914, 5911, 5910, 5913, 5912, 5799, 5798, 5800, 5801, 5797, 5796, 5836, 5837, 5835, 5834, 5833, 5832, 7109, 7108, 7105, 7104, 7107, 7106, 7119, 7118, 7117, 7116, 7121, 7120, 7158, 7159, 7160, 7161, 7163, 7162, 7215, 7214, 7216, 7217, 7213, 7212, 7166, 7167, 7169, 7168, 7164, 7165, 7210, 7211, 7208, 7209, 7207, 7206, 7194, 7195, 7199, 7198, 7196, 7197, 7190, 7191, 7188, 7189, 7193, 7192, 7219, 7218, 7221, 7220, 7223, 7222, 7253, 7252, 7250, 7251, 7249, 7248, 7151, 7150, 7149, 7148, 7146, 7147, 7145, 7144, 7143, 7142, 7141, 7140, 7175, 7174, 7171, 7170, 7173, 7172, 7287, 7286, 7284, 7285, 7289, 7288, 7205, 7204, 7203, 7202, 7200, 7201, 7270, 7271, 7268, 7269, 7266, 7267, 7292, 7293, 7295, 7294, 7290, 7291, 7276, 7277, 7272, 7273, 7275, 7274, 7255, 7254, 7256, 7257, 7259, 7258, 7242, 7243, 7244, 7245, 7247, 7246, 7134, 7135, 7138, 7139, 7136, 7137, 7280, 7281, 7283, 7282, 7278, 7279, 7228, 7229, 7225, 7224, 7227, 7226, 7110, 7111, 7112, 7113, 7114, 7115, 7154, 7155, 7157, 7156, 7153, 7152, 7240, 7241, 7237, 7236, 7238, 7239, 7235, 7234, 7233, 7232, 7231, 7230, 7264, 7265, 7260, 7261, 7263, 7262, 7186, 7187, 7183, 7182, 7184, 7185, 7177, 7176, 7178, 7179, 7180, 7181, 7124, 7125, 7122, 7123, 7126, 7127, 7133, 7132, 7128, 7129, 7130, 7131, 2299, 2298, 2301, 2300, 2303, 2302, 2161, 2160, 2163, 2162, 2165, 2164, 2207, 2206, 2203, 2202, 2204, 2205, 2247, 2246, 2248, 2249, 2244, 2245, 2240, 2241, 2242, 2243, 2239, 2238, 2281, 2280, 2283, 2282, 2284, 2285, 2147, 2146, 2145, 2144, 2143, 2142, 2176, 2177, 2174, 2175, 2173, 2172] +private def clayworthR_fwd_c12 : Array (Fin 12096) := #[2121, 2120, 2118, 2119, 2122, 2123, 2171, 2170, 2169, 2168, 2167, 2166, 2263, 2262, 2265, 2264, 2267, 2266, 2181, 2180, 2183, 2182, 2178, 2179, 2292, 2293, 2294, 2295, 2296, 2297, 2289, 2288, 2291, 2290, 2287, 2286, 2271, 2270, 2273, 2272, 2268, 2269, 2197, 2196, 2199, 2198, 2200, 2201, 2229, 2228, 2226, 2227, 2231, 2230, 2251, 2250, 2254, 2255, 2252, 2253, 2236, 2237, 2232, 2233, 2235, 2234, 2150, 2151, 2148, 2149, 2152, 2153, 2136, 2137, 2138, 2139, 2140, 2141, 2274, 2275, 2277, 2276, 2279, 2278, 2159, 2158, 2157, 2156, 2155, 2154, 2125, 2124, 2127, 2126, 2128, 2129, 2222, 2223, 2220, 2221, 2224, 2225, 2209, 2208, 2213, 2212, 2211, 2210, 2190, 2191, 2192, 2193, 2194, 2195, 2219, 2218, 2217, 2216, 2215, 2214, 2115, 2114, 2113, 2112, 2117, 2116, 2260, 2261, 2257, 2256, 2259, 2258, 2132, 2133, 2135, 2134, 2131, 2130, 2189, 2188, 2187, 2186, 2185, 2184, 10371, 10370, 10372, 10373, 10369, 10368, 10377, 10376, 10379, 10378, 10375, 10374, 10417, 10416, 10419, 10418, 10420, 10421, 10441, 10440, 10445, 10444, 10443, 10442, 10523, 10522, 10518, 10519, 10520, 10521, 10549, 10548, 10550, 10551, 10552, 10553, 10467, 10466, 10464, 10465, 10468, 10469, 10409, 10408, 10405, 10404, 10406, 10407, 10509, 10508, 10511, 10510, 10507, 10506, 10383, 10382, 10384, 10385, 10380, 10381, 10544, 10545, 10546, 10547, 10542, 10543, 10450, 10451, 10448, 10449, 10447, 10446, 10463, 10462, 10461, 10460, 10458, 10459, 10472, 10473, 10474, 10475, 10470, 10471, 10556, 10557, 10555, 10554, 10558, 10559, 10439, 10438, 10435, 10434, 10437, 10436, 10498, 10499, 10495, 10494, 10497, 10496, 10524, 10525, 10527, 10526, 10529, 10528, 10504, 10505, 10501, 10500, 10503, 10502, 10513, 10512, 10515, 10514, 10517, 10516, 10456, 10457, 10455, 10454, 10452, 10453, 10481, 10480, 10478, 10479, 10476, 10477, 10412, 10413, 10415, 10414, 10411, 10410, 10430, 10431, 10428, 10429, 10432, 10433, 10395, 10394, 10392, 10393, 10397, 10396, 10492, 10493, 10488, 10489, 10490, 10491, 10537, 10536, 10538, 10539, 10541, 10540, 10389, 10388, 10387, 10386, 10390, 10391, 10487, 10486, 10484, 10485, 10482, 10483, 10534, 10535, 10531, 10530, 10532, 10533, 10399, 10398, 10401, 10400, 10403, 10402, 10427, 10426, 10424, 10425, 10423, 10422, 11522, 11523, 11524, 11525, 11520, 11521, 11580, 11581, 11583, 11582, 11585, 11584, 11706, 11707, 11708, 11709, 11710, 11711, 11644, 11645, 11643, 11642, 11641, 11640, 11679, 11678, 11680, 11681, 11676, 11677, 11624, 11625, 11623, 11622, 11627, 11626, 11695, 11694, 11697, 11696, 11699, 11698, 11529, 11528, 11526, 11527, 11531, 11530, 11649, 11648, 11650, 11651, 11646, 11647, 11566, 11567, 11564, 11565, 11562, 11563, 11596, 11597, 11594, 11595, 11592, 11593, 11659, 11658, 11661, 11660, 11663, 11662, 11545, 11544, 11549, 11548, 11546, 11547, 11591, 11590, 11589, 11588, 11587, 11586, 11633, 11632, 11630, 11631, 11629, 11628, 11654, 11655, 11657, 11656, 11652, 11653, 11568, 11569, 11572, 11573, 11570, 11571, 11690, 11691, 11688, 11689, 11693, 11692, 11619, 11618, 11621, 11620, 11617, 11616, 11672, 11673, 11674, 11675, 11671, 11670, 11682, 11683, 11686, 11687, 11685, 11684, 11639, 11638, 11634, 11635, 11637, 11636, 11543, 11542, 11539, 11538, 11541, 11540, 11579, 11578, 11574, 11575, 11576, 11577, 11700, 11701, 11703, 11702, 11704, 11705, 11664, 11665, 11666, 11667, 11668, 11669, 11611, 11610, 11613, 11612, 11615, 11614, 11605, 11604] +private def clayworthR_fwd_c13 : Array (Fin 12096) := #[11607, 11606, 11608, 11609, 11553, 11552, 11551, 11550, 11555, 11554, 11533, 11532, 11535, 11534, 11537, 11536, 11557, 11556, 11559, 11558, 11561, 11560, 11603, 11602, 11601, 11600, 11599, 11598, 11341, 11340, 11345, 11344, 11343, 11342, 11376, 11377, 11380, 11381, 11378, 11379, 11517, 11516, 11518, 11519, 11514, 11515, 11439, 11438, 11441, 11440, 11436, 11437, 11431, 11430, 11435, 11434, 11433, 11432, 11450, 11451, 11452, 11453, 11448, 11449, 11415, 11414, 11412, 11413, 11416, 11417, 11481, 11480, 11482, 11483, 11479, 11478, 11464, 11465, 11461, 11460, 11463, 11462, 11510, 11511, 11512, 11513, 11509, 11508, 11331, 11330, 11332, 11333, 11329, 11328, 11364, 11365, 11368, 11369, 11367, 11366, 11356, 11357, 11352, 11353, 11355, 11354, 11384, 11385, 11383, 11382, 11387, 11386, 11467, 11466, 11471, 11470, 11469, 11468, 11502, 11503, 11504, 11505, 11506, 11507, 11420, 11421, 11418, 11419, 11423, 11422, 11487, 11486, 11485, 11484, 11489, 11488, 11359, 11358, 11361, 11360, 11363, 11362, 11407, 11406, 11408, 11409, 11410, 11411, 11493, 11492, 11491, 11490, 11494, 11495, 11394, 11395, 11397, 11396, 11399, 11398, 11444, 11445, 11442, 11443, 11446, 11447, 11454, 11455, 11458, 11459, 11456, 11457, 11472, 11473, 11476, 11477, 11475, 11474, 11426, 11427, 11428, 11429, 11424, 11425, 11371, 11370, 11374, 11375, 11373, 11372, 11347, 11346, 11351, 11350, 11349, 11348, 11499, 11498, 11500, 11501, 11497, 11496, 11335, 11334, 11336, 11337, 11339, 11338, 11401, 11400, 11405, 11404, 11403, 11402, 11392, 11393, 11388, 11389, 11391, 11390, 4806, 4807, 4810, 4811, 4809, 4808, 4831, 4830, 4835, 4834, 4832, 4833, 4838, 4839, 4840, 4841, 4837, 4836, 4930, 4931, 4929, 4928, 4926, 4927, 4900, 4901, 4896, 4897, 4899, 4898, 4944, 4945, 4949, 4948, 4946, 4947, 4890, 4891, 4895, 4894, 4892, 4893, 4980, 4981, 4982, 4983, 4984, 4985, 4803, 4802, 4805, 4804, 4800, 4801, 4885, 4884, 4888, 4889, 4887, 4886, 4848, 4849, 4851, 4850, 4852, 4853, 4934, 4935, 4936, 4937, 4932, 4933, 4912, 4913, 4911, 4910, 4908, 4909, 4847, 4846, 4842, 4843, 4845, 4844, 4871, 4870, 4869, 4868, 4866, 4867, 4959, 4958, 4956, 4957, 4961, 4960, 4857, 4856, 4855, 4854, 4859, 4858, 4882, 4883, 4880, 4881, 4878, 4879, 4965, 4964, 4967, 4966, 4963, 4962, 4990, 4991, 4986, 4987, 4989, 4988, 4973, 4972, 4971, 4970, 4969, 4968, 4925, 4924, 4920, 4921, 4922, 4923, 4954, 4955, 4953, 4952, 4950, 4951, 4941, 4940, 4942, 4943, 4938, 4939, 4876, 4877, 4872, 4873, 4874, 4875, 4818, 4819, 4823, 4822, 4821, 4820, 4976, 4977, 4978, 4979, 4975, 4974, 4906, 4907, 4904, 4905, 4902, 4903, 4829, 4828, 4824, 4825, 4827, 4826, 4918, 4919, 4914, 4915, 4916, 4917, 4862, 4863, 4860, 4861, 4865, 4864, 4814, 4815, 4816, 4817, 4813, 4812, 10569, 10568, 10567, 10566, 10570, 10571, 10603, 10602, 10607, 10606, 10604, 10605, 10747, 10746, 10749, 10748, 10750, 10751, 10662, 10663, 10667, 10666, 10665, 10664, 10657, 10656, 10661, 10660, 10658, 10659, 10645, 10644, 10649, 10648, 10646, 10647, 10670, 10671, 10668, 10669, 10672, 10673, 10708, 10709, 10707, 10706, 10704, 10705, 10563, 10562, 10565, 10564, 10561, 10560, 10589, 10588, 10587, 10586, 10585, 10584, 10680, 10681, 10685, 10684, 10682, 10683, 10575, 10574, 10573, 10572, 10577, 10576, 10734, 10735, 10738, 10739, 10736, 10737, 10725, 10724, 10722, 10723, 10726, 10727, 10610, 10611, 10612, 10613] +private def clayworthR_fwd_c14 : Array (Fin 12096) := #[10608, 10609, 10650, 10651, 10655, 10654, 10653, 10652, 10676, 10677, 10678, 10679, 10675, 10674, 10591, 10590, 10595, 10594, 10592, 10593, 10742, 10743, 10745, 10744, 10741, 10740, 10639, 10638, 10643, 10642, 10641, 10640, 10719, 10718, 10720, 10721, 10716, 10717, 10710, 10711, 10715, 10714, 10712, 10713, 10731, 10730, 10733, 10732, 10728, 10729, 10601, 10600, 10596, 10597, 10598, 10599, 10635, 10634, 10632, 10633, 10637, 10636, 10701, 10700, 10699, 10698, 10703, 10702, 10686, 10687, 10688, 10689, 10690, 10691, 10629, 10628, 10626, 10627, 10631, 10630, 10620, 10621, 10623, 10622, 10625, 10624, 10697, 10696, 10695, 10694, 10693, 10692, 10581, 10580, 10583, 10582, 10579, 10578, 10618, 10619, 10617, 10616, 10614, 10615, 4418, 4419, 4420, 4421, 4416, 4417, 4602, 4603, 4604, 4605, 4606, 4607, 4504, 4505, 4503, 4502, 4501, 4500, 4491, 4490, 4493, 4492, 4489, 4488, 4470, 4471, 4472, 4473, 4475, 4474, 4468, 4469, 4465, 4464, 4467, 4466, 4511, 4510, 4509, 4508, 4506, 4507, 4557, 4556, 4555, 4554, 4559, 4558, 4546, 4547, 4543, 4542, 4545, 4544, 4585, 4584, 4588, 4589, 4587, 4586, 4424, 4425, 4427, 4426, 4422, 4423, 4494, 4495, 4497, 4496, 4499, 4498, 4548, 4549, 4550, 4551, 4552, 4553, 4518, 4519, 4522, 4523, 4520, 4521, 4477, 4476, 4481, 4480, 4478, 4479, 4568, 4569, 4571, 4570, 4567, 4566, 4446, 4447, 4451, 4450, 4449, 4448, 4440, 4441, 4443, 4442, 4445, 4444, 4601, 4600, 4597, 4596, 4599, 4598, 4595, 4594, 4590, 4591, 4593, 4592, 4533, 4532, 4530, 4531, 4535, 4534, 4537, 4536, 4540, 4541, 4538, 4539, 4482, 4483, 4485, 4484, 4487, 4486, 4578, 4579, 4580, 4581, 4582, 4583, 4514, 4515, 4516, 4517, 4512, 4513, 4434, 4435, 4436, 4437, 4439, 4438, 4525, 4524, 4526, 4527, 4528, 4529, 4576, 4577, 4573, 4572, 4574, 4575, 4461, 4460, 4459, 4458, 4463, 4462, 4456, 4457, 4453, 4452, 4455, 4454, 4430, 4431, 4432, 4433, 4428, 4429, 4565, 4564, 4561, 4560, 4562, 4563, 8288, 8289, 8286, 8287, 8290, 8291, 8295, 8294, 8296, 8297, 8292, 8293, 8347, 8346, 8350, 8351, 8348, 8349, 8373, 8372, 8374, 8375, 8370, 8371, 8336, 8337, 8335, 8334, 8339, 8338, 8396, 8397, 8394, 8395, 8398, 8399, 8355, 8354, 8356, 8357, 8353, 8352, 8387, 8386, 8382, 8383, 8384, 8385, 8391, 8390, 8389, 8388, 8392, 8393, 8360, 8361, 8363, 8362, 8359, 8358, 8267, 8266, 8264, 8265, 8262, 8263, 8300, 8301, 8299, 8298, 8303, 8302, 8425, 8424, 8427, 8426, 8428, 8429, 8306, 8307, 8304, 8305, 8309, 8308, 8275, 8274, 8277, 8276, 8278, 8279, 8414, 8415, 8417, 8416, 8413, 8412, 8439, 8438, 8440, 8441, 8436, 8437, 8432, 8433, 8434, 8435, 8430, 8431, 8328, 8329, 8330, 8331, 8333, 8332, 8318, 8319, 8321, 8320, 8317, 8316, 8401, 8400, 8405, 8404, 8403, 8402, 8380, 8381, 8377, 8376, 8379, 8378, 8344, 8345, 8341, 8340, 8343, 8342, 8419, 8418, 8420, 8421, 8423, 8422, 8261, 8260, 8256, 8257, 8259, 8258, 8283, 8282, 8280, 8281, 8285, 8284, 8324, 8325, 8322, 8323, 8327, 8326, 8268, 8269, 8272, 8273, 8270, 8271, 8442, 8443, 8444, 8445, 8446, 8447, 8407, 8406, 8408, 8409, 8410, 8411, 8313, 8312, 8310, 8311, 8314, 8315, 8369, 8368, 8367, 8366, 8365, 8364, 9607, 9606, 9610, 9611, 9609, 9608, 9786, 9787, 9788, 9789, 9790, 9791] +private def clayworthR_fwd_c15 : Array (Fin 12096) := #[9653, 9652, 9651, 9650, 9648, 9649, 9679, 9678, 9683, 9682, 9681, 9680, 9723, 9722, 9724, 9725, 9721, 9720, 9672, 9673, 9676, 9677, 9674, 9675, 9739, 9738, 9743, 9742, 9741, 9740, 9731, 9730, 9728, 9729, 9727, 9726, 9769, 9768, 9770, 9771, 9773, 9772, 9687, 9686, 9684, 9685, 9689, 9688, 9704, 9705, 9707, 9706, 9703, 9702, 9612, 9613, 9616, 9617, 9614, 9615, 9763, 9762, 9767, 9766, 9765, 9764, 9693, 9692, 9695, 9694, 9690, 9691, 9636, 9637, 9639, 9638, 9640, 9641, 9753, 9752, 9755, 9754, 9750, 9751, 9777, 9776, 9778, 9779, 9774, 9775, 9666, 9667, 9669, 9668, 9670, 9671, 9760, 9761, 9756, 9757, 9759, 9758, 9717, 9716, 9719, 9718, 9715, 9714, 9732, 9733, 9734, 9735, 9736, 9737, 9644, 9645, 9647, 9646, 9643, 9642, 9631, 9630, 9633, 9632, 9634, 9635, 9697, 9696, 9701, 9700, 9698, 9699, 9602, 9603, 9600, 9601, 9604, 9605, 9619, 9618, 9621, 9620, 9623, 9622, 9712, 9713, 9710, 9711, 9709, 9708, 9783, 9782, 9785, 9784, 9781, 9780, 9662, 9663, 9660, 9661, 9665, 9664, 9658, 9659, 9654, 9655, 9657, 9656, 9746, 9747, 9748, 9749, 9744, 9745, 9626, 9627, 9629, 9628, 9624, 9625, 8645, 8644, 8643, 8642, 8641, 8640, 8648, 8649, 8651, 8650, 8647, 8646, 8690, 8691, 8693, 8692, 8688, 8689, 8734, 8735, 8733, 8732, 8731, 8730, 8716, 8717, 8712, 8713, 8714, 8715, 8753, 8752, 8751, 8750, 8748, 8749, 8747, 8746, 8745, 8744, 8743, 8742, 8798, 8799, 8800, 8801, 8796, 8797, 8738, 8739, 8740, 8741, 8736, 8737, 8782, 8783, 8779, 8778, 8780, 8781, 8681, 8680, 8678, 8679, 8677, 8676, 8667, 8666, 8665, 8664, 8669, 8668, 8788, 8789, 8785, 8784, 8786, 8787, 8655, 8654, 8657, 8656, 8652, 8653, 8729, 8728, 8726, 8727, 8725, 8724, 8756, 8757, 8758, 8759, 8755, 8754, 8670, 8671, 8672, 8673, 8675, 8674, 8810, 8811, 8813, 8812, 8809, 8808, 8822, 8823, 8824, 8825, 8820, 8821, 8708, 8709, 8711, 8710, 8706, 8707, 8777, 8776, 8774, 8775, 8773, 8772, 8792, 8793, 8791, 8790, 8795, 8794, 8723, 8722, 8718, 8719, 8720, 8721, 8662, 8663, 8661, 8660, 8659, 8658, 8817, 8816, 8818, 8819, 8815, 8814, 8762, 8763, 8764, 8765, 8761, 8760, 8686, 8687, 8685, 8684, 8683, 8682, 8829, 8828, 8827, 8826, 8831, 8830, 8770, 8771, 8768, 8769, 8766, 8767, 8704, 8705, 8700, 8701, 8703, 8702, 8806, 8807, 8803, 8802, 8804, 8805, 8698, 8699, 8697, 8696, 8695, 8694, 9237, 9236, 9234, 9235, 9239, 9238, 9403, 9402, 9405, 9404, 9407, 9406, 9302, 9303, 9305, 9304, 9301, 9300, 9242, 9243, 9244, 9245, 9241, 9240, 9289, 9288, 9292, 9293, 9290, 9291, 9338, 9339, 9337, 9336, 9340, 9341, 9317, 9316, 9315, 9314, 9313, 9312, 9307, 9306, 9311, 9310, 9309, 9308, 9358, 9359, 9355, 9354, 9357, 9356, 9352, 9353, 9349, 9348, 9350, 9351, 9384, 9385, 9388, 9389, 9387, 9386, 9294, 9295, 9298, 9299, 9296, 9297, 9224, 9225, 9222, 9223, 9227, 9226, 9251, 9250, 9246, 9247, 9248, 9249, 9285, 9284, 9283, 9282, 9286, 9287, 9375, 9374, 9377, 9376, 9373, 9372, 9394, 9395, 9390, 9391, 9393, 9392, 9271, 9270, 9272, 9273, 9274, 9275, 9382, 9383, 9381, 9380, 9378, 9379, 9360, 9361, 9362, 9363, 9364, 9365, 9343, 9342, 9344, 9345, 9347, 9346, 9280, 9281] +private def clayworthR_fwd_c16 : Array (Fin 12096) := #[9277, 9276, 9279, 9278, 9230, 9231, 9229, 9228, 9233, 9232, 9323, 9322, 9320, 9321, 9319, 9318, 9266, 9267, 9265, 9264, 9268, 9269, 9334, 9335, 9332, 9333, 9331, 9330, 9397, 9396, 9400, 9401, 9399, 9398, 9325, 9324, 9326, 9327, 9328, 9329, 9366, 9367, 9368, 9369, 9371, 9370, 9263, 9262, 9261, 9260, 9259, 9258, 9216, 9217, 9220, 9221, 9218, 9219, 9257, 9256, 9252, 9253, 9255, 9254, 5572, 5573, 5571, 5570, 5568, 5569, 5581, 5580, 5584, 5585, 5583, 5582, 5754, 5755, 5757, 5756, 5759, 5758, 5612, 5613, 5615, 5614, 5610, 5611, 5698, 5699, 5697, 5696, 5694, 5695, 5674, 5675, 5672, 5673, 5671, 5670, 5668, 5669, 5666, 5667, 5664, 5665, 5577, 5576, 5579, 5578, 5574, 5575, 5658, 5659, 5660, 5661, 5662, 5663, 5601, 5600, 5602, 5603, 5599, 5598, 5619, 5618, 5617, 5616, 5620, 5621, 5732, 5733, 5734, 5735, 5730, 5731, 5654, 5655, 5653, 5652, 5656, 5657, 5714, 5715, 5712, 5713, 5716, 5717, 5727, 5726, 5728, 5729, 5724, 5725, 5743, 5742, 5745, 5744, 5746, 5747, 5740, 5741, 5736, 5737, 5738, 5739, 5650, 5651, 5648, 5649, 5646, 5647, 5637, 5636, 5638, 5639, 5635, 5634, 5693, 5692, 5688, 5689, 5691, 5690, 5702, 5703, 5700, 5701, 5705, 5704, 5707, 5706, 5710, 5711, 5709, 5708, 5595, 5594, 5593, 5592, 5597, 5596, 5606, 5607, 5604, 5605, 5609, 5608, 5640, 5641, 5643, 5642, 5645, 5644, 5589, 5588, 5586, 5587, 5590, 5591, 5751, 5750, 5749, 5748, 5753, 5752, 5677, 5676, 5680, 5681, 5679, 5678, 5720, 5721, 5722, 5723, 5718, 5719, 5632, 5633, 5631, 5630, 5628, 5629, 5622, 5623, 5624, 5625, 5626, 5627, 5687, 5686, 5684, 5685, 5683, 5682, 2686, 2687, 2685, 2684, 2683, 2682, 2562, 2563, 2564, 2565, 2566, 2567, 2616, 2617, 2619, 2618, 2621, 2620, 2599, 2598, 2603, 2602, 2600, 2601, 2625, 2624, 2622, 2623, 2626, 2627, 2671, 2670, 2673, 2672, 2674, 2675, 2497, 2496, 2501, 2500, 2498, 2499, 2556, 2557, 2560, 2561, 2558, 2559, 2546, 2547, 2548, 2549, 2545, 2544, 2629, 2628, 2632, 2633, 2631, 2630, 2519, 2518, 2517, 2516, 2514, 2515, 2568, 2569, 2572, 2573, 2571, 2570, 2665, 2664, 2666, 2667, 2669, 2668, 2586, 2587, 2590, 2591, 2589, 2588, 2595, 2594, 2593, 2592, 2597, 2596, 2550, 2551, 2552, 2553, 2554, 2555, 2679, 2678, 2681, 2680, 2676, 2677, 2640, 2641, 2643, 2642, 2645, 2644, 2635, 2634, 2636, 2637, 2639, 2638, 2539, 2538, 2543, 2542, 2541, 2540, 2659, 2658, 2661, 2660, 2663, 2662, 2604, 2605, 2607, 2606, 2609, 2608, 2508, 2509, 2513, 2512, 2511, 2510, 2583, 2582, 2585, 2584, 2581, 2580, 2526, 2527, 2529, 2528, 2531, 2530, 2610, 2611, 2612, 2613, 2614, 2615, 2652, 2653, 2657, 2656, 2654, 2655, 2577, 2576, 2579, 2578, 2574, 2575, 2521, 2520, 2525, 2524, 2522, 2523, 2503, 2502, 2505, 2504, 2507, 2506, 2648, 2649, 2650, 2651, 2646, 2647, 2535, 2534, 2536, 2537, 2532, 2533, 1734, 1735, 1738, 1739, 1737, 1736, 1919, 1918, 1916, 1917, 1915, 1914, 1840, 1841, 1837, 1836, 1839, 1838, 1776, 1777, 1778, 1779, 1781, 1780, 1825, 1824, 1829, 1828, 1826, 1827, 1869, 1868, 1870, 1871, 1866, 1867, 1800, 1801, 1805, 1804, 1803, 1802, 1843, 1842, 1845, 1844, 1847, 1846, 1761, 1760, 1763, 1762] +private def clayworthR_fwd_c17 : Array (Fin 12096) := #[1758, 1759, 1834, 1835, 1830, 1831, 1832, 1833, 1783, 1782, 1785, 1784, 1787, 1786, 1896, 1897, 1898, 1899, 1901, 1900, 1809, 1808, 1807, 1806, 1810, 1811, 1890, 1891, 1892, 1893, 1895, 1894, 1793, 1792, 1789, 1788, 1791, 1790, 1821, 1820, 1819, 1818, 1822, 1823, 1850, 1851, 1852, 1853, 1848, 1849, 1752, 1753, 1754, 1755, 1756, 1757, 1907, 1906, 1903, 1902, 1905, 1904, 1794, 1795, 1797, 1796, 1799, 1798, 1878, 1879, 1883, 1882, 1881, 1880, 1873, 1872, 1875, 1874, 1876, 1877, 1817, 1816, 1813, 1812, 1815, 1814, 1767, 1766, 1769, 1768, 1765, 1764, 1857, 1856, 1858, 1859, 1854, 1855, 1775, 1774, 1773, 1772, 1771, 1770, 1740, 1741, 1743, 1742, 1745, 1744, 1908, 1909, 1910, 1911, 1912, 1913, 1865, 1864, 1862, 1863, 1861, 1860, 1730, 1731, 1728, 1729, 1732, 1733, 1888, 1889, 1884, 1885, 1886, 1887, 1748, 1749, 1750, 1751, 1746, 1747, 10754, 10755, 10757, 10756, 10753, 10752, 10862, 10863, 10865, 10864, 10861, 10860, 10807, 10806, 10811, 10810, 10809, 10808, 10844, 10845, 10842, 10843, 10847, 10846, 10875, 10874, 10873, 10872, 10877, 10876, 10871, 10870, 10869, 10868, 10866, 10867, 10923, 10922, 10920, 10921, 10925, 10924, 10916, 10917, 10919, 10918, 10915, 10914, 10759, 10758, 10763, 10762, 10761, 10760, 10815, 10814, 10813, 10812, 10816, 10817, 10894, 10895, 10893, 10892, 10891, 10890, 10781, 10780, 10778, 10779, 10776, 10777, 10853, 10852, 10849, 10848, 10851, 10850, 10858, 10859, 10856, 10857, 10855, 10854, 10880, 10881, 10883, 10882, 10878, 10879, 10788, 10789, 10791, 10790, 10793, 10792, 10940, 10941, 10943, 10942, 10939, 10938, 10839, 10838, 10836, 10837, 10840, 10841, 10934, 10935, 10937, 10936, 10933, 10932, 10824, 10825, 10826, 10827, 10828, 10829, 10906, 10907, 10905, 10904, 10903, 10902, 10909, 10908, 10913, 10912, 10910, 10911, 10799, 10798, 10797, 10796, 10795, 10794, 10885, 10884, 10887, 10886, 10889, 10888, 10771, 10770, 10772, 10773, 10775, 10774, 10805, 10804, 10801, 10800, 10802, 10803, 10832, 10833, 10835, 10834, 10830, 10831, 10901, 10900, 10896, 10897, 10899, 10898, 10929, 10928, 10927, 10926, 10931, 10930, 10821, 10820, 10819, 10818, 10822, 10823, 10765, 10764, 10766, 10767, 10769, 10768, 10784, 10785, 10787, 10786, 10782, 10783, 7396, 7397, 7394, 7395, 7392, 7393, 7380, 7381, 7384, 7385, 7382, 7383, 7405, 7404, 7408, 7409, 7406, 7407, 7453, 7452, 7457, 7456, 7455, 7454, 7401, 7400, 7403, 7402, 7399, 7398, 7483, 7482, 7487, 7486, 7485, 7484, 7331, 7330, 7329, 7328, 7326, 7327, 7389, 7388, 7387, 7386, 7390, 7391, 7441, 7440, 7443, 7442, 7445, 7444, 7416, 7417, 7421, 7420, 7419, 7418, 7306, 7307, 7304, 7305, 7302, 7303, 7379, 7378, 7375, 7374, 7377, 7376, 7464, 7465, 7466, 7467, 7469, 7468, 7413, 7412, 7414, 7415, 7411, 7410, 7471, 7470, 7472, 7473, 7474, 7475, 7368, 7369, 7370, 7371, 7372, 7373, 7356, 7357, 7358, 7359, 7360, 7361, 7459, 7458, 7461, 7460, 7462, 7463, 7434, 7435, 7437, 7436, 7438, 7439, 7448, 7449, 7451, 7450, 7447, 7446, 7336, 7337, 7335, 7334, 7333, 7332, 7324, 7325, 7322, 7323, 7321, 7320, 7477, 7476, 7479, 7478, 7481, 7480, 7341, 7340, 7343, 7342, 7339, 7338, 7364, 7365, 7367, 7366, 7363, 7362, 7314, 7315, 7317, 7316, 7319, 7318, 7432, 7433, 7428, 7429, 7430, 7431, 7423, 7422, 7425, 7424, 7427, 7426] +private def clayworthR_fwd_c18 : Array (Fin 12096) := #[7355, 7354, 7351, 7350, 7352, 7353, 7347, 7346, 7345, 7344, 7348, 7349, 7309, 7308, 7310, 7311, 7313, 7312, 7299, 7298, 7301, 7300, 7297, 7296, 580, 581, 577, 576, 579, 578, 597, 596, 594, 595, 599, 598, 765, 764, 767, 766, 762, 763, 652, 653, 651, 650, 649, 648, 630, 631, 634, 635, 633, 632, 647, 646, 644, 645, 642, 643, 696, 697, 700, 701, 698, 699, 664, 665, 661, 660, 662, 663, 709, 708, 712, 713, 710, 711, 657, 656, 658, 659, 655, 654, 740, 741, 743, 742, 738, 739, 582, 583, 586, 587, 584, 585, 619, 618, 622, 623, 620, 621, 616, 617, 613, 612, 615, 614, 641, 640, 636, 637, 639, 638, 706, 707, 702, 703, 704, 705, 675, 674, 676, 677, 672, 673, 604, 605, 603, 602, 600, 601, 735, 734, 733, 732, 736, 737, 668, 669, 670, 671, 666, 667, 753, 752, 755, 754, 751, 750, 746, 747, 749, 748, 745, 744, 693, 692, 695, 694, 690, 691, 714, 715, 718, 719, 716, 717, 628, 629, 627, 626, 625, 624, 728, 729, 731, 730, 727, 726, 689, 688, 686, 687, 685, 684, 759, 758, 760, 761, 757, 756, 723, 722, 720, 721, 725, 724, 610, 611, 608, 609, 606, 607, 680, 681, 679, 678, 682, 683, 588, 589, 591, 590, 592, 593, 2779, 2778, 2783, 2782, 2781, 2780, 2793, 2792, 2791, 2790, 2794, 2795, 2785, 2784, 2786, 2787, 2789, 2788, 2868, 2869, 2871, 2870, 2872, 2873, 2688, 2689, 2693, 2692, 2691, 2690, 2728, 2729, 2726, 2727, 2724, 2725, 2737, 2736, 2739, 2738, 2741, 2740, 2808, 2809, 2813, 2812, 2810, 2811, 2734, 2735, 2732, 2733, 2730, 2731, 2862, 2863, 2865, 2864, 2867, 2866, 2777, 2776, 2775, 2774, 2773, 2772, 2798, 2799, 2801, 2800, 2797, 2796, 2719, 2718, 2721, 2720, 2723, 2722, 2844, 2845, 2849, 2848, 2847, 2846, 2875, 2874, 2876, 2877, 2878, 2879, 2760, 2761, 2765, 2764, 2763, 2762, 2854, 2855, 2853, 2852, 2850, 2851, 2831, 2830, 2826, 2827, 2829, 2828, 2835, 2834, 2832, 2833, 2837, 2836, 2770, 2771, 2768, 2769, 2767, 2766, 2713, 2712, 2717, 2716, 2715, 2714, 2857, 2856, 2859, 2858, 2860, 2861, 2805, 2804, 2807, 2806, 2803, 2802, 2754, 2755, 2757, 2756, 2759, 2758, 2700, 2701, 2704, 2705, 2702, 2703, 2815, 2814, 2816, 2817, 2819, 2818, 2841, 2840, 2842, 2843, 2838, 2839, 2753, 2752, 2751, 2750, 2749, 2748, 2825, 2824, 2822, 2823, 2821, 2820, 2694, 2695, 2697, 2696, 2698, 2699, 2709, 2708, 2711, 2710, 2706, 2707, 2747, 2746, 2745, 2744, 2743, 2742, 4611, 4610, 4612, 4613, 4609, 4608, 4658, 4659, 4657, 4656, 4661, 4660, 4796, 4797, 4798, 4799, 4795, 4794, 4705, 4704, 4708, 4709, 4706, 4707, 4702, 4703, 4698, 4699, 4700, 4701, 4681, 4680, 4683, 4682, 4685, 4684, 4714, 4715, 4713, 4712, 4711, 4710, 4743, 4742, 4744, 4745, 4741, 4740, 4642, 4643, 4638, 4639, 4640, 4641, 4625, 4624, 4623, 4622, 4621, 4620, 4665, 4664, 4666, 4667, 4663, 4662, 4779, 4778, 4780, 4781, 4777, 4776, 4686, 4687, 4690, 4691, 4688, 4689, 4747, 4746, 4748, 4749, 4751, 4750, 4758, 4759, 4762, 4763, 4760, 4761, 4785, 4784] +private def clayworthR_fwd_c19 : Array (Fin 12096) := #[4787, 4786, 4783, 4782, 4768, 4769, 4767, 4766, 4765, 4764, 4733, 4732, 4728, 4729, 4730, 4731, 4735, 4734, 4738, 4739, 4736, 4737, 4697, 4696, 4695, 4694, 4692, 4693, 4649, 4648, 4647, 4646, 4645, 4644, 4770, 4771, 4773, 4772, 4774, 4775, 4721, 4720, 4719, 4718, 4716, 4717, 4653, 4652, 4651, 4650, 4654, 4655, 4627, 4626, 4631, 4630, 4628, 4629, 4788, 4789, 4791, 4790, 4793, 4792, 4753, 4752, 4755, 4754, 4757, 4756, 4676, 4677, 4674, 4675, 4678, 4679, 4727, 4726, 4722, 4723, 4725, 4724, 4617, 4616, 4618, 4619, 4615, 4614, 4633, 4632, 4635, 4634, 4636, 4637, 4672, 4673, 4669, 4668, 4671, 4670, 1530, 1531, 1533, 1532, 1534, 1535, 1439, 1438, 1436, 1437, 1434, 1435, 1391, 1390, 1389, 1388, 1386, 1387, 1487, 1486, 1483, 1482, 1485, 1484, 1423, 1422, 1427, 1426, 1425, 1424, 1419, 1418, 1417, 1416, 1421, 1420, 1446, 1447, 1450, 1451, 1449, 1448, 1442, 1443, 1440, 1441, 1444, 1445, 1347, 1346, 1349, 1348, 1345, 1344, 1488, 1489, 1490, 1491, 1492, 1493, 1463, 1462, 1459, 1458, 1461, 1460, 1525, 1524, 1527, 1526, 1529, 1528, 1508, 1509, 1510, 1511, 1506, 1507, 1369, 1368, 1371, 1370, 1372, 1373, 1521, 1520, 1522, 1523, 1519, 1518, 1404, 1405, 1407, 1406, 1408, 1409, 1480, 1481, 1476, 1477, 1478, 1479, 1495, 1494, 1497, 1496, 1499, 1498, 1433, 1432, 1430, 1431, 1428, 1429, 1377, 1376, 1375, 1374, 1378, 1379, 1362, 1363, 1367, 1366, 1365, 1364, 1454, 1455, 1457, 1456, 1453, 1452, 1382, 1383, 1384, 1385, 1380, 1381, 1413, 1412, 1410, 1411, 1415, 1414, 1472, 1473, 1470, 1471, 1475, 1474, 1514, 1515, 1517, 1516, 1512, 1513, 1401, 1400, 1398, 1399, 1403, 1402, 1351, 1350, 1352, 1353, 1355, 1354, 1469, 1468, 1464, 1465, 1467, 1466, 1504, 1505, 1500, 1501, 1502, 1503, 1358, 1359, 1360, 1361, 1356, 1357, 1396, 1397, 1393, 1392, 1394, 1395, 8066, 8067, 8068, 8069, 8065, 8064, 8158, 8159, 8157, 8156, 8154, 8155, 8109, 8108, 8110, 8111, 8107, 8106, 8201, 8200, 8196, 8197, 8198, 8199, 8142, 8143, 8146, 8147, 8145, 8144, 8138, 8139, 8137, 8136, 8140, 8141, 8170, 8171, 8168, 8169, 8166, 8167, 8212, 8213, 8208, 8209, 8210, 8211, 8164, 8165, 8163, 8162, 8161, 8160, 8251, 8250, 8255, 8254, 8253, 8252, 8073, 8072, 8074, 8075, 8070, 8071, 8150, 8151, 8148, 8149, 8152, 8153, 8098, 8099, 8096, 8097, 8094, 8095, 8117, 8116, 8112, 8113, 8115, 8114, 8087, 8086, 8085, 8084, 8082, 8083, 8223, 8222, 8221, 8220, 8225, 8224, 8121, 8120, 8122, 8123, 8118, 8119, 8175, 8174, 8176, 8177, 8172, 8173, 8100, 8101, 8102, 8103, 8104, 8105, 8234, 8235, 8236, 8237, 8232, 8233, 8134, 8135, 8130, 8131, 8132, 8133, 8241, 8240, 8243, 8242, 8239, 8238, 8218, 8219, 8216, 8217, 8215, 8214, 8204, 8205, 8206, 8207, 8203, 8202, 8245, 8244, 8247, 8246, 8248, 8249, 8178, 8179, 8182, 8183, 8180, 8181, 8076, 8077, 8079, 8078, 8081, 8080, 8089, 8088, 8092, 8093, 8090, 8091, 8184, 8185, 8189, 8188, 8186, 8187, 8228, 8229, 8227, 8226, 8231, 8230, 8195, 8194, 8192, 8193, 8191, 8190, 8129, 8128, 8126, 8127, 8124, 8125, 11714, 11715, 11716, 11717, 11712, 11713, 11830, 11831, 11827, 11826, 11828, 11829, 11762, 11763, 11765, 11764] +private def clayworthR_fwd_c20 : Array (Fin 12096) := #[11760, 11761, 11818, 11819, 11817, 11816, 11815, 11814, 11857, 11856, 11860, 11861, 11858, 11859, 11800, 11801, 11796, 11797, 11798, 11799, 11791, 11790, 11792, 11793, 11795, 11794, 11843, 11842, 11840, 11841, 11839, 11838, 11837, 11836, 11834, 11835, 11833, 11832, 11878, 11879, 11877, 11876, 11875, 11874, 11759, 11758, 11754, 11755, 11757, 11756, 11822, 11823, 11824, 11825, 11821, 11820, 11750, 11751, 11749, 11748, 11752, 11753, 11846, 11847, 11849, 11848, 11845, 11844, 11730, 11731, 11735, 11734, 11732, 11733, 11769, 11768, 11770, 11771, 11767, 11766, 11896, 11897, 11895, 11894, 11892, 11893, 11886, 11887, 11889, 11888, 11891, 11890, 11777, 11776, 11773, 11772, 11774, 11775, 11812, 11813, 11808, 11809, 11810, 11811, 11900, 11901, 11902, 11903, 11899, 11898, 11854, 11855, 11852, 11853, 11850, 11851, 11881, 11880, 11885, 11884, 11883, 11882, 11863, 11862, 11865, 11864, 11867, 11866, 11868, 11869, 11873, 11872, 11871, 11870, 11807, 11806, 11805, 11804, 11803, 11802, 11742, 11743, 11746, 11747, 11744, 11745, 11728, 11729, 11725, 11724, 11727, 11726, 11785, 11784, 11789, 11788, 11786, 11787, 11782, 11783, 11778, 11779, 11781, 11780, 11720, 11721, 11718, 11719, 11722, 11723, 11736, 11737, 11738, 11739, 11740, 11741, 7682, 7683, 7684, 7685, 7680, 7681, 7869, 7868, 7871, 7870, 7867, 7866, 7781, 7780, 7779, 7778, 7777, 7776, 7818, 7819, 7821, 7820, 7822, 7823, 7790, 7791, 7792, 7793, 7788, 7789, 7834, 7835, 7830, 7831, 7833, 7832, 7688, 7689, 7691, 7690, 7687, 7686, 7724, 7725, 7726, 7727, 7723, 7722, 7785, 7784, 7787, 7786, 7782, 7783, 7715, 7714, 7712, 7713, 7711, 7710, 7697, 7696, 7695, 7694, 7693, 7692, 7744, 7745, 7740, 7741, 7742, 7743, 7844, 7845, 7843, 7842, 7847, 7846, 7749, 7748, 7751, 7750, 7747, 7746, 7772, 7773, 7770, 7771, 7775, 7774, 7797, 7796, 7799, 7798, 7795, 7794, 7717, 7716, 7719, 7718, 7721, 7720, 7860, 7861, 7862, 7863, 7864, 7865, 7856, 7857, 7858, 7859, 7854, 7855, 7758, 7759, 7760, 7761, 7763, 7762, 7826, 7827, 7824, 7825, 7828, 7829, 7840, 7841, 7839, 7838, 7836, 7837, 7765, 7764, 7766, 7767, 7769, 7768, 7730, 7731, 7732, 7733, 7728, 7729, 7705, 7704, 7708, 7709, 7707, 7706, 7803, 7802, 7805, 7804, 7801, 7800, 7736, 7737, 7739, 7738, 7735, 7734, 7814, 7815, 7813, 7812, 7816, 7817, 7848, 7849, 7852, 7853, 7851, 7850, 7752, 7753, 7755, 7754, 7757, 7756, 7698, 7699, 7703, 7702, 7701, 7700, 7810, 7811, 7808, 7809, 7807, 7806, 10180, 10181, 10176, 10177, 10178, 10179, 10283, 10282, 10280, 10281, 10279, 10278, 10214, 10215, 10217, 10216, 10213, 10212, 10275, 10274, 10277, 10276, 10272, 10273, 10323, 10322, 10320, 10321, 10324, 10325, 10253, 10252, 10251, 10250, 10249, 10248, 10286, 10287, 10288, 10289, 10284, 10285, 10331, 10330, 10327, 10326, 10329, 10328, 10362, 10363, 10367, 10366, 10365, 10364, 10227, 10226, 10225, 10224, 10228, 10229, 10218, 10219, 10223, 10222, 10220, 10221, 10359, 10358, 10361, 10360, 10357, 10356, 10259, 10258, 10255, 10254, 10256, 10257, 10230, 10231, 10235, 10234, 10232, 10233, 10270, 10271, 10266, 10267, 10268, 10269, 10293, 10292, 10294, 10295, 10290, 10291, 10347, 10346, 10348, 10349, 10345, 10344, 10237, 10236, 10238, 10239, 10240, 10241, 10318, 10319, 10314, 10315, 10317, 10316, 10332, 10333, 10334, 10335, 10337, 10336, 10264, 10265, 10260, 10261, 10262, 10263, 10202, 10203, 10204, 10205, 10201, 10200] +private def clayworthR_fwd_c21 : Array (Fin 12096) := #[10351, 10350, 10353, 10352, 10355, 10354, 10183, 10182, 10186, 10187, 10185, 10184, 10208, 10209, 10211, 10210, 10206, 10207, 10243, 10242, 10245, 10244, 10247, 10246, 10194, 10195, 10198, 10199, 10197, 10196, 10313, 10312, 10309, 10308, 10310, 10311, 10296, 10297, 10299, 10298, 10300, 10301, 10189, 10188, 10193, 10192, 10190, 10191, 10306, 10307, 10303, 10302, 10304, 10305, 10341, 10340, 10342, 10343, 10338, 10339, 4231, 4230, 4234, 4235, 4233, 4232, 4318, 4319, 4316, 4317, 4314, 4315, 4269, 4268, 4271, 4270, 4267, 4266, 4303, 4302, 4307, 4306, 4304, 4305, 4330, 4331, 4329, 4328, 4327, 4326, 4320, 4321, 4324, 4325, 4323, 4322, 4358, 4359, 4360, 4361, 4357, 4356, 4402, 4403, 4400, 4401, 4398, 4399, 4251, 4250, 4253, 4252, 4249, 4248, 4282, 4283, 4280, 4281, 4278, 4279, 4362, 4363, 4365, 4364, 4366, 4367, 4348, 4349, 4344, 4345, 4346, 4347, 4277, 4276, 4275, 4274, 4273, 4272, 4393, 4392, 4397, 4396, 4395, 4394, 4380, 4381, 4382, 4383, 4385, 4384, 4335, 4334, 4336, 4337, 4332, 4333, 4254, 4255, 4256, 4257, 4258, 4259, 4405, 4404, 4409, 4408, 4407, 4406, 4390, 4391, 4389, 4388, 4387, 4386, 4299, 4298, 4301, 4300, 4297, 4296, 4375, 4374, 4376, 4377, 4378, 4379, 4351, 4350, 4352, 4353, 4354, 4355, 4369, 4368, 4373, 4372, 4371, 4370, 4313, 4312, 4308, 4309, 4310, 4311, 4340, 4341, 4343, 4342, 4339, 4338, 4265, 4264, 4261, 4260, 4263, 4262, 4243, 4242, 4244, 4245, 4247, 4246, 4413, 4412, 4410, 4411, 4414, 4415, 4291, 4290, 4292, 4293, 4295, 4294, 4236, 4237, 4238, 4239, 4240, 4241, 4226, 4227, 4224, 4225, 4229, 4228, 4288, 4289, 4286, 4287, 4284, 4285, 4036, 4037, 4034, 4035, 4032, 4033, 4053, 4052, 4051, 4050, 4055, 4054, 4068, 4069, 4073, 4072, 4071, 4070, 4219, 4218, 4221, 4220, 4222, 4223, 4074, 4075, 4077, 4076, 4078, 4079, 4116, 4117, 4120, 4121, 4118, 4119, 4151, 4150, 4149, 4148, 4147, 4146, 4142, 4143, 4145, 4144, 4141, 4140, 4178, 4179, 4181, 4180, 4176, 4177, 4040, 4041, 4038, 4039, 4042, 4043, 4137, 4136, 4139, 4138, 4134, 4135, 4185, 4184, 4182, 4183, 4186, 4187, 4061, 4060, 4058, 4059, 4056, 4057, 4084, 4085, 4080, 4081, 4082, 4083, 4208, 4209, 4207, 4206, 4211, 4210, 4123, 4122, 4127, 4126, 4125, 4124, 4088, 4089, 4087, 4086, 4091, 4090, 4155, 4154, 4156, 4157, 4152, 4153, 4216, 4217, 4213, 4212, 4215, 4214, 4112, 4113, 4111, 4110, 4114, 4115, 4198, 4199, 4197, 4196, 4195, 4194, 4099, 4098, 4100, 4101, 4103, 4102, 4175, 4174, 4172, 4173, 4170, 4171, 4190, 4191, 4192, 4193, 4189, 4188, 4128, 4129, 4130, 4131, 4132, 4133, 4066, 4067, 4065, 4064, 4063, 4062, 4203, 4202, 4204, 4205, 4201, 4200, 4163, 4162, 4161, 4160, 4158, 4159, 4106, 4107, 4108, 4109, 4104, 4105, 4165, 4164, 4168, 4169, 4167, 4166, 4095, 4094, 4093, 4092, 4096, 4097, 4044, 4045, 4046, 4047, 4048, 4049, 1167, 1166, 1164, 1165, 1169, 1168, 1195, 1194, 1197, 1196, 1199, 1198, 1338, 1339, 1343, 1342, 1340, 1341, 1241, 1240, 1238, 1239, 1237, 1236, 1286, 1287, 1284, 1285, 1288, 1289, 1221, 1220, 1219, 1218, 1223, 1222, 1252, 1253, 1249, 1248, 1251, 1250, 1308, 1309, 1312, 1313, 1311, 1310, 1245, 1244, 1242, 1243, 1247, 1246, 1293, 1292] +private def clayworthR_fwd_c22 : Array (Fin 12096) := #[1290, 1291, 1294, 1295, 1186, 1187, 1182, 1183, 1185, 1184, 1297, 1296, 1299, 1298, 1300, 1301, 1267, 1266, 1271, 1270, 1268, 1269, 1200, 1201, 1204, 1205, 1203, 1202, 1228, 1229, 1226, 1227, 1224, 1225, 1315, 1314, 1317, 1316, 1319, 1318, 1232, 1233, 1230, 1231, 1234, 1235, 1256, 1257, 1258, 1259, 1254, 1255, 1328, 1329, 1327, 1326, 1331, 1330, 1335, 1334, 1333, 1332, 1337, 1336, 1212, 1213, 1214, 1215, 1216, 1217, 1306, 1307, 1304, 1305, 1302, 1303, 1191, 1190, 1192, 1193, 1189, 1188, 1263, 1262, 1261, 1260, 1264, 1265, 1162, 1163, 1158, 1159, 1160, 1161, 1171, 1170, 1173, 1172, 1174, 1175, 1273, 1272, 1276, 1277, 1275, 1274, 1320, 1321, 1323, 1322, 1325, 1324, 1208, 1209, 1206, 1207, 1210, 1211, 1280, 1281, 1278, 1279, 1282, 1283, 1155, 1154, 1156, 1157, 1153, 1152, 1181, 1180, 1177, 1176, 1178, 1179, 7886, 7887, 7885, 7884, 7888, 7889, 7933, 7932, 7935, 7934, 7936, 7937, 8060, 8061, 8063, 8062, 8059, 8058, 7982, 7983, 7984, 7985, 7980, 7981, 7974, 7975, 7979, 7978, 7977, 7976, 8017, 8016, 8021, 8020, 8018, 8019, 7970, 7971, 7972, 7973, 7969, 7968, 8013, 8012, 8015, 8014, 8011, 8010, 7923, 7922, 7924, 7925, 7921, 7920, 7963, 7962, 7965, 7964, 7966, 7967, 7912, 7913, 7910, 7911, 7908, 7909, 7940, 7941, 7938, 7939, 7942, 7943, 7987, 7986, 7991, 7990, 7988, 7989, 7894, 7895, 7892, 7893, 7891, 7890, 8052, 8053, 8054, 8055, 8057, 8056, 8028, 8029, 8031, 8030, 8033, 8032, 7946, 7947, 7949, 7948, 7944, 7945, 7915, 7914, 7919, 7918, 7917, 7916, 8040, 8041, 8045, 8044, 8042, 8043, 8049, 8048, 8051, 8050, 8047, 8046, 8009, 8008, 8005, 8004, 8007, 8006, 7960, 7961, 7957, 7956, 7959, 7958, 7881, 7880, 7878, 7879, 7882, 7883, 7928, 7929, 7931, 7930, 7927, 7926, 7950, 7951, 7953, 7952, 7955, 7954, 7904, 7905, 7903, 7902, 7907, 7906, 8001, 8000, 7998, 7999, 8003, 8002, 7992, 7993, 7995, 7994, 7996, 7997, 8034, 8035, 8036, 8037, 8039, 8038, 7896, 7897, 7900, 7901, 7898, 7899, 7875, 7874, 7877, 7876, 7873, 7872, 8024, 8025, 8027, 8026, 8023, 8022, 393, 392, 390, 391, 394, 395, 571, 570, 574, 575, 573, 572, 500, 501, 503, 502, 499, 498, 475, 474, 477, 476, 479, 478, 518, 519, 521, 520, 517, 516, 511, 510, 515, 514, 513, 512, 534, 535, 536, 537, 539, 538, 506, 507, 508, 509, 505, 504, 557, 556, 555, 554, 553, 552, 494, 495, 497, 496, 493, 492, 439, 438, 441, 440, 443, 442, 401, 400, 399, 398, 397, 396, 437, 436, 435, 434, 433, 432, 546, 547, 548, 549, 551, 550, 481, 480, 484, 485, 483, 482, 445, 444, 449, 448, 446, 447, 489, 488, 487, 486, 490, 491, 415, 414, 417, 416, 419, 418, 559, 558, 561, 560, 563, 562, 425, 424, 423, 422, 421, 420, 408, 409, 412, 413, 410, 411, 543, 542, 544, 545, 541, 540, 523, 522, 525, 524, 527, 526, 388, 389, 384, 385, 387, 386, 430, 431, 427, 426, 428, 429, 470, 471, 473, 472, 469, 468, 564, 565, 566, 567, 568, 569, 463, 462, 464, 465, 466, 467, 458, 459, 456, 457] +private def clayworthR_fwd_c23 : Array (Fin 12096) := #[460, 461, 402, 403, 407, 406, 405, 404, 531, 530, 529, 528, 533, 532, 454, 455, 452, 453, 450, 451, 9796, 9797, 9795, 9794, 9793, 9792, 9800, 9801, 9803, 9802, 9799, 9798, 9847, 9846, 9848, 9849, 9851, 9850, 9982, 9983, 9981, 9980, 9979, 9978, 9856, 9857, 9854, 9855, 9852, 9853, 9903, 9902, 9905, 9904, 9900, 9901, 9887, 9886, 9884, 9885, 9882, 9883, 9922, 9923, 9920, 9921, 9919, 9918, 9917, 9916, 9914, 9915, 9913, 9912, 9944, 9945, 9946, 9947, 9942, 9943, 9972, 9973, 9977, 9976, 9975, 9974, 9837, 9836, 9839, 9838, 9834, 9835, 9906, 9907, 9908, 9909, 9911, 9910, 9862, 9863, 9858, 9859, 9861, 9860, 9952, 9953, 9949, 9948, 9951, 9950, 9926, 9927, 9928, 9929, 9925, 9924, 9806, 9807, 9809, 9808, 9805, 9804, 9889, 9888, 9893, 9892, 9890, 9891, 9866, 9867, 9868, 9869, 9864, 9865, 9895, 9894, 9899, 9898, 9897, 9896, 9831, 9830, 9832, 9833, 9829, 9828, 9968, 9969, 9971, 9970, 9966, 9967, 9877, 9876, 9879, 9878, 9880, 9881, 9954, 9955, 9958, 9959, 9956, 9957, 9940, 9941, 9936, 9937, 9939, 9938, 9842, 9843, 9840, 9841, 9844, 9845, 9822, 9823, 9826, 9827, 9824, 9825, 9810, 9811, 9812, 9813, 9814, 9815, 9964, 9965, 9960, 9961, 9963, 9962, 9933, 9932, 9935, 9934, 9930, 9931, 9818, 9819, 9820, 9821, 9816, 9817, 9875, 9874, 9873, 9872, 9871, 9870, 1536, 1537, 1538, 1539, 1540, 1541, 1596, 1597, 1599, 1598, 1600, 1601, 1726, 1727, 1724, 1725, 1723, 1722, 1606, 1607, 1604, 1605, 1602, 1603, 1636, 1637, 1633, 1632, 1635, 1634, 1626, 1627, 1630, 1631, 1628, 1629, 1653, 1652, 1651, 1650, 1654, 1655, 1672, 1673, 1671, 1670, 1669, 1668, 1544, 1545, 1546, 1547, 1543, 1542, 1583, 1582, 1579, 1578, 1580, 1581, 1570, 1571, 1567, 1566, 1568, 1569, 1667, 1666, 1664, 1665, 1663, 1662, 1610, 1611, 1612, 1613, 1608, 1609, 1643, 1642, 1640, 1641, 1638, 1639, 1688, 1689, 1691, 1690, 1687, 1686, 1645, 1644, 1648, 1649, 1647, 1646, 1658, 1659, 1661, 1660, 1656, 1657, 1574, 1575, 1577, 1576, 1573, 1572, 1697, 1696, 1695, 1694, 1693, 1692, 1713, 1712, 1715, 1714, 1711, 1710, 1622, 1623, 1621, 1620, 1624, 1625, 1703, 1702, 1701, 1700, 1699, 1698, 1675, 1674, 1676, 1677, 1678, 1679, 1586, 1587, 1589, 1588, 1584, 1585, 1560, 1561, 1562, 1563, 1564, 1565, 1705, 1704, 1706, 1707, 1708, 1709, 1594, 1595, 1593, 1592, 1591, 1590, 1615, 1614, 1619, 1618, 1616, 1617, 1554, 1555, 1556, 1557, 1558, 1559, 1716, 1717, 1718, 1719, 1720, 1721, 1551, 1550, 1548, 1549, 1553, 1552, 1684, 1685, 1680, 1681, 1682, 1683, 3845, 3844, 3842, 3843, 3841, 3840, 3861, 3860, 3863, 3862, 3858, 3859, 3888, 3889, 3893, 3892, 3890, 3891, 4026, 4027, 4029, 4028, 4030, 4031, 3944, 3945, 3947, 3946, 3942, 3943, 3940, 3941, 3937, 3936, 3938, 3939, 3970, 3971, 3967, 3966, 3968, 3969, 3924, 3925, 3927, 3926, 3928, 3929, 3920, 3921, 3919, 3918, 3922, 3923, 3958, 3959, 3957, 3956, 3955, 3954, 3953, 3952, 3951, 3950, 3949, 3948, 4012, 4013, 4011, 4010, 4008, 4009, 3848, 3849, 3847, 3846, 3850, 3851, 3901, 3900, 3903, 3902, 3904, 3905, 3981, 3980, 3983, 3982, 3978, 3979, 3867, 3866, 3868, 3869, 3865, 3864] +private def clayworthR_fwd_c24 : Array (Fin 12096) := #[3898, 3899, 3896, 3897, 3894, 3895, 3930, 3931, 3935, 3934, 3933, 3932, 3877, 3876, 3881, 3880, 3879, 3878, 3999, 3998, 3996, 3997, 4001, 4000, 4021, 4020, 4025, 4024, 4023, 4022, 4016, 4017, 4019, 4018, 4014, 4015, 4006, 4007, 4004, 4005, 4003, 4002, 3972, 3973, 3977, 3976, 3975, 3974, 3989, 3988, 3985, 3984, 3986, 3987, 3887, 3886, 3885, 3884, 3883, 3882, 3913, 3912, 3917, 3916, 3914, 3915, 3872, 3873, 3870, 3871, 3875, 3874, 3962, 3963, 3961, 3960, 3964, 3965, 3906, 3907, 3908, 3909, 3910, 3911, 3852, 3853, 3854, 3855, 3856, 3857, 3995, 3994, 3991, 3990, 3993, 3992] + +private def clayworthR_fwd : Array (Fin 12096) := + clayworthR_fwd_c0 ++ clayworthR_fwd_c1 ++ clayworthR_fwd_c2 ++ clayworthR_fwd_c3 ++ clayworthR_fwd_c4 ++ clayworthR_fwd_c5 ++ clayworthR_fwd_c6 ++ clayworthR_fwd_c7 ++ clayworthR_fwd_c8 ++ clayworthR_fwd_c9 ++ clayworthR_fwd_c10 ++ clayworthR_fwd_c11 ++ clayworthR_fwd_c12 ++ clayworthR_fwd_c13 ++ clayworthR_fwd_c14 ++ clayworthR_fwd_c15 ++ clayworthR_fwd_c16 ++ clayworthR_fwd_c17 ++ clayworthR_fwd_c18 ++ clayworthR_fwd_c19 ++ clayworthR_fwd_c20 ++ clayworthR_fwd_c21 ++ clayworthR_fwd_c22 ++ clayworthR_fwd_c23 ++ clayworthR_fwd_c24 + +private def clayworthR_inv_c0 : Array (Fin 12096) := #[40, 41, 36, 37, 38, 39, 133, 132, 137, 136, 134, 135, 5, 4, 1, 0, 3, 2, 71, 70, 66, 67, 69, 68, 180, 181, 182, 183, 184, 185, 45, 44, 46, 47, 42, 43, 23, 22, 18, 19, 21, 20, 77, 76, 73, 72, 75, 74, 56, 57, 54, 55, 58, 59, 190, 191, 189, 188, 187, 186, 170, 171, 172, 173, 168, 169, 112, 113, 108, 109, 110, 111, 138, 139, 141, 140, 143, 142, 26, 27, 28, 29, 24, 25, 122, 123, 125, 124, 120, 121, 85, 84, 89, 88, 86, 87, 52, 53, 48, 49, 50, 51, 16, 17, 13, 12, 15, 14, 95, 94, 91, 90, 93, 92, 156, 157, 160, 161, 158, 159, 149, 148, 146, 147, 144, 145, 115, 114, 119, 118, 117, 116, 65, 64, 60, 61, 62, 63, 34, 35, 31, 30, 33, 32, 179, 178, 175, 174, 176, 177, 83, 82, 78, 79, 81, 80, 164, 165, 162, 163, 166, 167, 101, 100, 97, 96, 98, 99, 130, 131, 127, 126, 129, 128, 104, 105, 106, 107, 102, 103, 152, 153, 154, 155, 150, 151, 10, 11, 6, 7, 8, 9, 3076, 3077, 3074, 3075, 3072, 3073, 3216, 3217, 3218, 3219, 3220, 3221, 3229, 3228, 3233, 3232, 3231, 3230, 3256, 3257, 3252, 3253, 3255, 3254, 3143, 3142, 3138, 3139, 3140, 3141, 3126, 3127, 3131, 3130, 3129, 3128, 3205, 3204, 3208, 3209, 3207, 3206, 3225, 3224, 3227, 3226, 3222, 3223, 3261, 3260, 3262, 3263, 3258, 3259, 3246, 3247, 3248, 3249, 3250, 3251, 3193, 3192, 3194, 3195, 3196, 3197, 3183, 3182, 3180, 3181, 3185, 3184, 3099, 3098, 3097, 3096, 3101, 3100, 3091, 3090, 3092, 3093, 3095, 3094, 3201, 3200, 3203, 3202, 3198, 3199, 3163, 3162, 3166, 3167, 3164, 3165, 3132, 3133, 3134, 3135, 3136, 3137, 3116, 3117, 3115, 3114, 3118, 3119, 3113, 3112, 3111, 3110, 3109, 3108, 3105, 3104, 3107, 3106, 3103, 3102, 3151, 3150, 3155, 3154, 3153, 3152, 3240, 3241, 3243, 3242, 3245, 3244, 3236, 3237, 3234, 3235, 3239, 3238, 3087, 3086, 3084, 3085, 3088, 3089, 3147, 3146, 3148, 3149, 3145, 3144, 3191, 3190, 3187, 3186, 3189, 3188, 3211, 3210, 3213, 3212, 3215, 3214, 3158, 3159, 3156, 3157, 3161, 3160, 3121, 3120, 3123, 3122, 3125, 3124, 3176, 3177, 3179, 3178, 3175, 3174, 3171, 3170, 3172, 3173, 3169, 3168, 3083, 3082, 3078, 3079, 3081, 3080, 11468, 11469, 11471, 11470, 11466, 11467, 11330, 11331, 11329, 11328, 11332, 11333, 11399, 11398, 11397, 11396, 11395, 11394, 11502, 11503, 11507, 11506, 11505, 11504, 11448, 11449, 11452, 11453, 11450, 11451, 11431, 11430, 11433, 11432, 11435, 11434, 11447, 11446, 11445, 11444, 11443, 11442, 11475, 11474, 11476, 11477, 11472, 11473, 11405, 11404, 11403, 11402, 11401, 11400, 11389, 11388, 11391, 11390, 11393, 11392, 11419, 11418, 11422, 11423, 11421, 11420, 11518, 11519, 11516, 11517, 11514, 11515, 11498, 11499, 11496, 11497, 11500, 11501, 11491, 11490, 11492, 11493, 11494, 11495, 11483, 11482, 11478, 11479, 11481, 11480, 11347, 11346, 11349, 11348, 11351, 11350, 11413, 11412, 11417, 11416, 11414, 11415, 11427, 11426, 11425, 11424, 11428, 11429, 11387, 11386, 11382, 11383, 11385, 11384, 11345, 11344] +private def clayworthR_inv_c1 : Array (Fin 12096) := #[11340, 11341, 11343, 11342, 11375, 11374, 11370, 11371, 11372, 11373, 11359, 11358, 11363, 11362, 11361, 11360, 11357, 11356, 11352, 11353, 11355, 11354, 11461, 11460, 11463, 11462, 11465, 11464, 11511, 11510, 11509, 11508, 11513, 11512, 11364, 11365, 11366, 11367, 11369, 11368, 11459, 11458, 11455, 11454, 11456, 11457, 11406, 11407, 11408, 11409, 11411, 11410, 11381, 11380, 11379, 11378, 11377, 11376, 11437, 11436, 11439, 11438, 11441, 11440, 11484, 11485, 11486, 11487, 11488, 11489, 11335, 11334, 11339, 11338, 11336, 11337, 9027, 9026, 9029, 9028, 9024, 9025, 9090, 9091, 9094, 9095, 9092, 9093, 9210, 9211, 9213, 9212, 9214, 9215, 9032, 9033, 9031, 9030, 9035, 9034, 9130, 9131, 9129, 9128, 9126, 9127, 9202, 9203, 9200, 9201, 9198, 9199, 9105, 9104, 9107, 9106, 9102, 9103, 9097, 9096, 9100, 9101, 9098, 9099, 9173, 9172, 9171, 9170, 9168, 9169, 9048, 9049, 9053, 9052, 9050, 9051, 9110, 9111, 9113, 9112, 9109, 9108, 9058, 9059, 9056, 9057, 9055, 9054, 9047, 9046, 9045, 9044, 9042, 9043, 9083, 9082, 9079, 9078, 9080, 9081, 9069, 9068, 9070, 9071, 9066, 9067, 9142, 9143, 9138, 9139, 9140, 9141, 9124, 9125, 9121, 9120, 9122, 9123, 9207, 9206, 9204, 9205, 9208, 9209, 9185, 9184, 9182, 9183, 9181, 9180, 9160, 9161, 9157, 9156, 9159, 9158, 9060, 9061, 9064, 9065, 9062, 9063, 9116, 9117, 9118, 9119, 9114, 9115, 9073, 9072, 9076, 9077, 9074, 9075, 9162, 9163, 9166, 9167, 9164, 9165, 9194, 9195, 9193, 9192, 9197, 9196, 9179, 9178, 9174, 9175, 9177, 9176, 9135, 9134, 9133, 9132, 9136, 9137, 9088, 9089, 9084, 9085, 9087, 9086, 9155, 9154, 9150, 9151, 9153, 9152, 9149, 9148, 9145, 9144, 9147, 9146, 9191, 9190, 9187, 9186, 9188, 9189, 9040, 9041, 9037, 9036, 9039, 9038, 197, 196, 193, 192, 195, 194, 371, 370, 366, 367, 368, 369, 338, 339, 337, 336, 341, 340, 256, 257, 253, 252, 254, 255, 359, 358, 356, 357, 355, 354, 330, 331, 334, 335, 333, 332, 240, 241, 242, 243, 244, 245, 383, 382, 381, 380, 378, 379, 351, 350, 353, 352, 349, 348, 344, 345, 343, 342, 347, 346, 304, 305, 303, 302, 300, 301, 210, 211, 215, 214, 212, 213, 267, 266, 264, 265, 269, 268, 328, 329, 325, 324, 327, 326, 277, 276, 281, 280, 279, 278, 233, 232, 228, 229, 230, 231, 219, 218, 221, 220, 216, 217, 287, 286, 283, 282, 285, 284, 364, 365, 360, 361, 363, 362, 209, 208, 207, 206, 204, 205, 320, 321, 323, 322, 319, 318, 238, 239, 234, 235, 236, 237, 249, 248, 251, 250, 246, 247, 222, 223, 224, 225, 226, 227, 313, 312, 314, 315, 317, 316, 377, 376, 373, 372, 374, 375, 270, 271, 273, 272, 274, 275, 291, 290, 289, 288, 293, 292, 309, 308, 310, 311, 307, 306, 261, 260, 258, 259, 262, 263, 299, 298, 295, 294, 297, 296, 198, 199, 202, 203, 201, 200, 4421, 4420, 4419, 4418, 4416, 4417, 4595, 4594, 4591, 4590, 4593, 4592, 4550, 4551, 4549, 4548, 4552, 4553, 4427, 4426, 4422, 4423, 4424, 4425, 4450, 4451, 4449, 4448, 4447, 4446, 4488, 4489, 4490, 4491, 4493, 4492, 4535, 4534, 4532, 4533] +private def clayworthR_inv_c2 : Array (Fin 12096) := #[4531, 4530, 4481, 4480, 4476, 4477, 4478, 4479, 4607, 4606, 4605, 4604, 4602, 4603, 4583, 4582, 4578, 4579, 4580, 4581, 4559, 4558, 4555, 4554, 4557, 4556, 4466, 4467, 4468, 4469, 4464, 4465, 4487, 4486, 4484, 4485, 4483, 4482, 4432, 4433, 4431, 4430, 4429, 4428, 4445, 4444, 4442, 4443, 4440, 4441, 4542, 4543, 4544, 4545, 4546, 4547, 4458, 4459, 4461, 4460, 4463, 4462, 4573, 4572, 4575, 4574, 4577, 4576, 4588, 4589, 4586, 4587, 4585, 4584, 4565, 4564, 4562, 4563, 4561, 4560, 4517, 4516, 4514, 4515, 4512, 4513, 4438, 4439, 4435, 4434, 4437, 4436, 4527, 4526, 4529, 4528, 4524, 4525, 4457, 4456, 4453, 4452, 4455, 4454, 4518, 4519, 4522, 4523, 4520, 4521, 4601, 4600, 4597, 4596, 4598, 4599, 4470, 4471, 4472, 4473, 4475, 4474, 4496, 4497, 4494, 4495, 4499, 4498, 4511, 4510, 4507, 4506, 4509, 4508, 4540, 4541, 4536, 4537, 4539, 4538, 4504, 4505, 4501, 4500, 4503, 4502, 4571, 4570, 4566, 4567, 4568, 4569, 11129, 11128, 11125, 11124, 11126, 11127, 11090, 11091, 11092, 11093, 11088, 11089, 10946, 10947, 10945, 10944, 10949, 10948, 11095, 11094, 11097, 11096, 11098, 11099, 11133, 11132, 11134, 11135, 11131, 11130, 11006, 11007, 11009, 11008, 11004, 11005, 11081, 11080, 11077, 11076, 11078, 11079, 10951, 10950, 10953, 10952, 10955, 10954, 11022, 11023, 11027, 11026, 11024, 11025, 11114, 11115, 11112, 11113, 11116, 11117, 11064, 11065, 11066, 11067, 11068, 11069, 10977, 10976, 10975, 10974, 10979, 10978, 11032, 11033, 11030, 11031, 11028, 11029, 11042, 11043, 11040, 11041, 11044, 11045, 10967, 10966, 10964, 10965, 10963, 10962, 10994, 10995, 10993, 10992, 10997, 10996, 10983, 10982, 10985, 10984, 10980, 10981, 11050, 11051, 11046, 11047, 11048, 11049, 11085, 11084, 11083, 11082, 11086, 11087, 11017, 11016, 11020, 11021, 11019, 11018, 11101, 11100, 11105, 11104, 11102, 11103, 11120, 11121, 11118, 11119, 11122, 11123, 10970, 10971, 10968, 10969, 10972, 10973, 11000, 11001, 10999, 10998, 11002, 11003, 11011, 11010, 11013, 11012, 11014, 11015, 11074, 11075, 11072, 11073, 11070, 11071, 10986, 10987, 10991, 10990, 10988, 10989, 11035, 11034, 11037, 11036, 11039, 11038, 11106, 11107, 11109, 11108, 11111, 11110, 11055, 11054, 11052, 11053, 11057, 11056, 11061, 11060, 11059, 11058, 11063, 11062, 10956, 10957, 10960, 10961, 10959, 10958, 9653, 9652, 9649, 9648, 9651, 9650, 9763, 9762, 9764, 9765, 9767, 9766, 9784, 9785, 9780, 9781, 9782, 9783, 9720, 9721, 9725, 9724, 9723, 9722, 9679, 9678, 9681, 9680, 9682, 9683, 9717, 9716, 9715, 9714, 9718, 9719, 9736, 9737, 9732, 9733, 9734, 9735, 9616, 9617, 9615, 9614, 9613, 9612, 9789, 9788, 9790, 9791, 9786, 9787, 9758, 9759, 9757, 9756, 9761, 9760, 9690, 9691, 9693, 9692, 9694, 9695, 9740, 9741, 9739, 9738, 9743, 9742, 9633, 9632, 9631, 9630, 9635, 9634, 9625, 9624, 9629, 9628, 9627, 9626, 9712, 9713, 9710, 9711, 9709, 9708, 9610, 9611, 9608, 9609, 9607, 9606, 9644, 9645, 9642, 9643, 9646, 9647, 9636, 9637, 9641, 9640, 9638, 9639, 9731, 9730, 9726, 9727, 9729, 9728, 9663, 9662, 9665, 9664, 9661, 9660, 9770, 9771, 9773, 9772, 9769, 9768, 9746, 9747, 9744, 9745, 9749, 9748, 9698, 9699, 9700, 9701, 9696, 9697, 9621, 9620, 9623, 9622, 9619, 9618, 9654, 9655, 9656, 9657, 9658, 9659, 9703, 9702, 9705, 9704, 9707, 9706] +private def clayworthR_inv_c3 : Array (Fin 12096) := #[9776, 9777, 9778, 9779, 9774, 9775, 9676, 9677, 9672, 9673, 9674, 9675, 9754, 9755, 9750, 9751, 9753, 9752, 9689, 9688, 9685, 9684, 9686, 9687, 9667, 9666, 9669, 9668, 9671, 9670, 9600, 9601, 9603, 9602, 9604, 9605, 11712, 11713, 11714, 11715, 11716, 11717, 11765, 11764, 11760, 11761, 11762, 11763, 11894, 11895, 11893, 11892, 11897, 11896, 11880, 11881, 11882, 11883, 11884, 11885, 11856, 11857, 11858, 11859, 11860, 11861, 11775, 11774, 11776, 11777, 11772, 11773, 11819, 11818, 11814, 11815, 11817, 11816, 11769, 11768, 11770, 11771, 11767, 11766, 11854, 11855, 11850, 11851, 11853, 11852, 11873, 11872, 11871, 11870, 11868, 11869, 11718, 11719, 11721, 11720, 11722, 11723, 11734, 11735, 11732, 11733, 11730, 11731, 11788, 11789, 11784, 11785, 11786, 11787, 11875, 11874, 11878, 11879, 11877, 11876, 11835, 11834, 11832, 11833, 11836, 11837, 11742, 11743, 11746, 11747, 11744, 11745, 11739, 11738, 11741, 11740, 11736, 11737, 11794, 11795, 11792, 11793, 11791, 11790, 11803, 11802, 11807, 11806, 11804, 11805, 11751, 11750, 11749, 11748, 11752, 11753, 11812, 11813, 11808, 11809, 11811, 11810, 11783, 11782, 11780, 11781, 11779, 11778, 11759, 11758, 11757, 11756, 11754, 11755, 11845, 11844, 11846, 11847, 11848, 11849, 11900, 11901, 11902, 11903, 11898, 11899, 11801, 11800, 11796, 11797, 11799, 11798, 11825, 11824, 11823, 11822, 11821, 11820, 11843, 11842, 11841, 11840, 11839, 11838, 11863, 11862, 11864, 11865, 11866, 11867, 11831, 11830, 11827, 11826, 11829, 11828, 11886, 11887, 11888, 11889, 11890, 11891, 11729, 11728, 11726, 11727, 11724, 11725, 8624, 8625, 8622, 8623, 8626, 8627, 8448, 8449, 8453, 8452, 8450, 8451, 8604, 8605, 8607, 8606, 8609, 8608, 8638, 8639, 8634, 8635, 8636, 8637, 8550, 8551, 8552, 8553, 8554, 8555, 8500, 8501, 8497, 8496, 8499, 8498, 8591, 8590, 8587, 8586, 8589, 8588, 8603, 8602, 8601, 8600, 8599, 8598, 8466, 8467, 8468, 8469, 8471, 8470, 8509, 8508, 8511, 8510, 8513, 8512, 8535, 8534, 8537, 8536, 8533, 8532, 8562, 8563, 8565, 8564, 8567, 8566, 8484, 8485, 8489, 8488, 8487, 8486, 8523, 8522, 8521, 8520, 8524, 8525, 8583, 8582, 8585, 8584, 8581, 8580, 8541, 8540, 8539, 8538, 8542, 8543, 8473, 8472, 8476, 8477, 8475, 8474, 8504, 8505, 8506, 8507, 8502, 8503, 8463, 8462, 8465, 8464, 8460, 8461, 8491, 8490, 8493, 8492, 8495, 8494, 8548, 8549, 8544, 8545, 8546, 8547, 8596, 8597, 8593, 8592, 8594, 8595, 8621, 8620, 8618, 8619, 8617, 8616, 8482, 8483, 8479, 8478, 8480, 8481, 8575, 8574, 8577, 8576, 8578, 8579, 8568, 8569, 8573, 8572, 8571, 8570, 8630, 8631, 8632, 8633, 8628, 8629, 8526, 8527, 8528, 8529, 8531, 8530, 8514, 8515, 8516, 8517, 8519, 8518, 8559, 8558, 8561, 8560, 8557, 8556, 8610, 8611, 8612, 8613, 8614, 8615, 8459, 8458, 8456, 8457, 8455, 8454, 3688, 3689, 3685, 3684, 3686, 3687, 3793, 3792, 3794, 3795, 3797, 3796, 3704, 3705, 3703, 3702, 3707, 3706, 3822, 3823, 3827, 3826, 3824, 3825, 3834, 3835, 3837, 3836, 3838, 3839, 3739, 3738, 3743, 3742, 3741, 3740, 3692, 3693, 3695, 3694, 3691, 3690, 3790, 3791, 3789, 3788, 3786, 3787, 3649, 3648, 3650, 3651, 3653, 3652, 3659, 3658, 3655, 3654, 3656, 3657, 3730, 3731, 3726, 3727, 3728, 3729, 3819, 3818, 3821, 3820, 3817, 3816, 3662, 3663, 3660, 3661, 3665, 3664, 3719, 3718] +private def clayworthR_inv_c4 : Array (Fin 12096) := #[3716, 3717, 3715, 3714, 3784, 3785, 3783, 3782, 3781, 3780, 3673, 3672, 3677, 3676, 3675, 3674, 3670, 3671, 3668, 3669, 3666, 3667, 3737, 3736, 3733, 3732, 3735, 3734, 3811, 3810, 3814, 3815, 3813, 3812, 3832, 3833, 3830, 3831, 3828, 3829, 3802, 3803, 3800, 3801, 3798, 3799, 3771, 3770, 3769, 3768, 3773, 3772, 3699, 3698, 3700, 3701, 3696, 3697, 3774, 3775, 3779, 3778, 3776, 3777, 3722, 3723, 3720, 3721, 3725, 3724, 3749, 3748, 3747, 3746, 3744, 3745, 3767, 3766, 3763, 3762, 3765, 3764, 3708, 3709, 3710, 3711, 3713, 3712, 3679, 3678, 3680, 3681, 3682, 3683, 3761, 3760, 3756, 3757, 3758, 3759, 3752, 3753, 3750, 3751, 3754, 3755, 3805, 3804, 3808, 3809, 3806, 3807, 6123, 6122, 6121, 6120, 6125, 6124, 6002, 6003, 6001, 6000, 6004, 6005, 6091, 6090, 6093, 6092, 6094, 6095, 6137, 6136, 6132, 6133, 6135, 6134, 6072, 6073, 6074, 6075, 6076, 6077, 5993, 5992, 5991, 5990, 5989, 5988, 6068, 6069, 6066, 6067, 6070, 6071, 6089, 6088, 6087, 6086, 6085, 6084, 5959, 5958, 5961, 5960, 5963, 5962, 6011, 6010, 6009, 6008, 6007, 6006, 5999, 5998, 5996, 5997, 5994, 5995, 6022, 6023, 6019, 6018, 6021, 6020, 6143, 6142, 6141, 6140, 6139, 6138, 6108, 6109, 6110, 6111, 6112, 6113, 6043, 6042, 6045, 6044, 6046, 6047, 5967, 5966, 5968, 5969, 5965, 5964, 6103, 6102, 6107, 6106, 6105, 6104, 6119, 6118, 6117, 6116, 6115, 6114, 6098, 6099, 6096, 6097, 6100, 6101, 6050, 6051, 6049, 6048, 6053, 6052, 6062, 6063, 6065, 6064, 6060, 6061, 5981, 5980, 5976, 5977, 5978, 5979, 5974, 5975, 5971, 5970, 5972, 5973, 6055, 6054, 6058, 6059, 6056, 6057, 6129, 6128, 6131, 6130, 6126, 6127, 6013, 6012, 6015, 6014, 6017, 6016, 6040, 6041, 6037, 6036, 6039, 6038, 6078, 6079, 6081, 6080, 6083, 6082, 5983, 5982, 5985, 5984, 5986, 5987, 6035, 6034, 6031, 6030, 6033, 6032, 6024, 6025, 6026, 6027, 6028, 6029, 5953, 5952, 5955, 5954, 5957, 5956, 3269, 3268, 3264, 3265, 3266, 3267, 3323, 3322, 3318, 3319, 3321, 3320, 3408, 3409, 3413, 3412, 3410, 3411, 3452, 3453, 3455, 3454, 3451, 3450, 3400, 3401, 3399, 3398, 3397, 3396, 3333, 3332, 3334, 3335, 3331, 3330, 3394, 3395, 3392, 3393, 3390, 3391, 3418, 3419, 3416, 3417, 3414, 3415, 3270, 3271, 3272, 3273, 3274, 3275, 3358, 3359, 3355, 3354, 3357, 3356, 3338, 3339, 3336, 3337, 3341, 3340, 3420, 3421, 3422, 3423, 3424, 3425, 3282, 3283, 3284, 3285, 3286, 3287, 3281, 3280, 3279, 3278, 3277, 3276, 3326, 3327, 3328, 3329, 3324, 3325, 3300, 3301, 3303, 3302, 3304, 3305, 3293, 3292, 3291, 3290, 3288, 3289, 3376, 3377, 3373, 3372, 3375, 3374, 3405, 3404, 3406, 3407, 3403, 3402, 3349, 3348, 3352, 3353, 3351, 3350, 3432, 3433, 3434, 3435, 3437, 3436, 3443, 3442, 3439, 3438, 3440, 3441, 3387, 3386, 3384, 3385, 3389, 3388, 3310, 3311, 3307, 3306, 3309, 3308, 3342, 3343, 3346, 3347, 3344, 3345, 3298, 3299, 3296, 3297, 3294, 3295, 3449, 3448, 3444, 3445, 3447, 3446, 3370, 3371, 3367, 3366, 3369, 3368, 3363, 3362, 3360, 3361, 3365, 3364, 3313, 3312, 3315, 3314, 3316, 3317, 3381, 3380, 3382, 3383, 3378, 3379, 3427, 3426, 3428, 3429, 3431, 3430, 8293, 8292, 8296, 8297] +private def clayworthR_inv_c5 : Array (Fin 12096) := #[8295, 8294, 8431, 8430, 8433, 8432, 8435, 8434, 8388, 8389, 8393, 8392, 8391, 8390, 8320, 8321, 8319, 8318, 8317, 8316, 8425, 8424, 8428, 8429, 8427, 8426, 8400, 8401, 8403, 8402, 8405, 8404, 8446, 8447, 8443, 8442, 8444, 8445, 8371, 8370, 8375, 8374, 8373, 8372, 8309, 8308, 8304, 8305, 8306, 8307, 8346, 8347, 8348, 8349, 8350, 8351, 8298, 8299, 8302, 8303, 8300, 8301, 8262, 8263, 8264, 8265, 8266, 8267, 8322, 8323, 8327, 8326, 8324, 8325, 8422, 8423, 8419, 8418, 8421, 8420, 8399, 8398, 8395, 8394, 8397, 8396, 8334, 8335, 8339, 8338, 8336, 8337, 8343, 8342, 8341, 8340, 8345, 8344, 8275, 8274, 8278, 8279, 8277, 8276, 8382, 8383, 8385, 8384, 8387, 8386, 8406, 8407, 8408, 8409, 8410, 8411, 8268, 8269, 8271, 8270, 8273, 8272, 8282, 8283, 8281, 8280, 8284, 8285, 8311, 8310, 8315, 8314, 8312, 8313, 8365, 8364, 8366, 8367, 8369, 8368, 8358, 8359, 8361, 8360, 8363, 8362, 8440, 8441, 8436, 8437, 8438, 8439, 8412, 8413, 8416, 8417, 8415, 8414, 8377, 8376, 8379, 8378, 8381, 8380, 8329, 8328, 8330, 8331, 8333, 8332, 8287, 8286, 8289, 8288, 8290, 8291, 8356, 8357, 8353, 8352, 8355, 8354, 8261, 8260, 8259, 8258, 8256, 8257, 9240, 9241, 9245, 9244, 9243, 9242, 9390, 9391, 9393, 9392, 9394, 9395, 9360, 9361, 9364, 9365, 9362, 9363, 9400, 9401, 9397, 9396, 9399, 9398, 9337, 9336, 9341, 9340, 9339, 9338, 9289, 9288, 9291, 9290, 9293, 9292, 9250, 9251, 9248, 9249, 9246, 9247, 9268, 9269, 9266, 9267, 9264, 9265, 9253, 9252, 9255, 9254, 9257, 9256, 9407, 9406, 9405, 9404, 9403, 9402, 9383, 9382, 9381, 9380, 9379, 9378, 9354, 9355, 9357, 9356, 9359, 9358, 9306, 9307, 9311, 9310, 9309, 9308, 9335, 9334, 9332, 9333, 9330, 9331, 9281, 9280, 9279, 9278, 9277, 9276, 9217, 9216, 9221, 9220, 9219, 9218, 9229, 9228, 9230, 9231, 9233, 9232, 9225, 9224, 9223, 9222, 9226, 9227, 9287, 9286, 9282, 9283, 9285, 9284, 9353, 9352, 9349, 9348, 9351, 9350, 9258, 9259, 9262, 9263, 9261, 9260, 9367, 9366, 9368, 9369, 9371, 9370, 9389, 9388, 9386, 9387, 9385, 9384, 9320, 9321, 9323, 9322, 9319, 9318, 9326, 9327, 9325, 9324, 9329, 9328, 9376, 9377, 9373, 9372, 9374, 9375, 9294, 9295, 9299, 9298, 9297, 9296, 9316, 9317, 9315, 9314, 9312, 9313, 9343, 9342, 9345, 9344, 9346, 9347, 9270, 9271, 9273, 9272, 9275, 9274, 9234, 9235, 9237, 9236, 9238, 9239, 9301, 9300, 9302, 9303, 9304, 9305, 547, 546, 551, 550, 549, 548, 566, 567, 569, 568, 564, 565, 449, 448, 446, 447, 445, 444, 436, 437, 432, 433, 434, 435, 401, 400, 396, 397, 399, 398, 471, 470, 472, 473, 468, 469, 452, 453, 451, 450, 455, 454, 483, 482, 480, 481, 484, 485, 575, 574, 572, 573, 570, 571, 545, 544, 540, 541, 543, 542, 535, 534, 538, 539, 537, 536, 511, 510, 513, 512, 514, 515, 408, 409, 412, 413, 410, 411, 479, 478, 476, 477, 474, 475, 403, 402, 406, 407, 404, 405, 440, 441, 443, 442, 439, 438, 391, 390, 394, 395, 392, 393, 420, 421, 425, 424, 422, 423, 414, 415, 418, 419, 417, 416, 491, 490, 486, 487, 488, 489] +private def clayworthR_inv_c6 : Array (Fin 12096) := #[467, 466, 463, 462, 465, 464, 556, 557, 553, 552, 555, 554, 526, 527, 524, 525, 522, 523, 431, 430, 427, 426, 428, 429, 458, 459, 456, 457, 461, 460, 530, 531, 533, 532, 529, 528, 560, 561, 563, 562, 559, 558, 497, 496, 494, 495, 493, 492, 521, 520, 518, 519, 517, 516, 506, 507, 508, 509, 504, 505, 501, 500, 499, 498, 502, 503, 389, 388, 385, 384, 386, 387, 965, 964, 961, 960, 962, 963, 1099, 1098, 1102, 1103, 1100, 1101, 1105, 1104, 1106, 1107, 1109, 1108, 1150, 1151, 1146, 1147, 1148, 1149, 1086, 1087, 1091, 1090, 1088, 1089, 1007, 1006, 1003, 1002, 1004, 1005, 1043, 1042, 1039, 1038, 1041, 1040, 1084, 1085, 1080, 1081, 1082, 1083, 969, 968, 967, 966, 970, 971, 1023, 1022, 1020, 1021, 1025, 1024, 1010, 1011, 1012, 1013, 1008, 1009, 1029, 1028, 1026, 1027, 1030, 1031, 1138, 1139, 1135, 1134, 1136, 1137, 1133, 1132, 1131, 1130, 1129, 1128, 1046, 1047, 1045, 1044, 1048, 1049, 1079, 1078, 1076, 1077, 1074, 1075, 983, 982, 979, 978, 980, 981, 997, 996, 1001, 1000, 998, 999, 995, 994, 992, 993, 990, 991, 989, 988, 987, 986, 984, 985, 1036, 1037, 1033, 1032, 1034, 1035, 1114, 1115, 1113, 1112, 1111, 1110, 1055, 1054, 1052, 1053, 1050, 1051, 1062, 1063, 1065, 1064, 1066, 1067, 1018, 1019, 1014, 1015, 1016, 1017, 1071, 1070, 1068, 1069, 1072, 1073, 1056, 1057, 1061, 1060, 1059, 1058, 1144, 1145, 1140, 1141, 1142, 1143, 1125, 1124, 1127, 1126, 1122, 1123, 1093, 1092, 1095, 1094, 1097, 1096, 1116, 1117, 1121, 1120, 1118, 1119, 972, 973, 974, 975, 976, 977, 4609, 4608, 4611, 4610, 4613, 4612, 4785, 4784, 4783, 4782, 4787, 4786, 4776, 4777, 4781, 4780, 4778, 4779, 4790, 4791, 4792, 4793, 4788, 4789, 4699, 4698, 4703, 4702, 4701, 4700, 4665, 4664, 4666, 4667, 4663, 4662, 4730, 4731, 4728, 4729, 4733, 4732, 4736, 4737, 4738, 4739, 4734, 4735, 4616, 4617, 4614, 4615, 4619, 4618, 4621, 4620, 4623, 4622, 4624, 4625, 4668, 4669, 4670, 4671, 4672, 4673, 4689, 4688, 4686, 4687, 4690, 4691, 4798, 4799, 4796, 4797, 4794, 4795, 4772, 4773, 4770, 4771, 4774, 4775, 4769, 4768, 4767, 4766, 4765, 4764, 4741, 4740, 4743, 4742, 4744, 4745, 4712, 4713, 4711, 4710, 4715, 4714, 4634, 4635, 4636, 4637, 4632, 4633, 4695, 4694, 4697, 4696, 4692, 4693, 4645, 4644, 4648, 4649, 4647, 4646, 4752, 4753, 4754, 4755, 4756, 4757, 4719, 4718, 4720, 4721, 4717, 4716, 4627, 4626, 4628, 4629, 4631, 4630, 4652, 4653, 4650, 4651, 4655, 4654, 4677, 4676, 4675, 4674, 4679, 4678, 4726, 4727, 4724, 4725, 4723, 4722, 4642, 4643, 4639, 4638, 4641, 4640, 4681, 4680, 4682, 4683, 4684, 4685, 4758, 4759, 4760, 4761, 4763, 4762, 4656, 4657, 4658, 4659, 4660, 4661, 4705, 4704, 4709, 4708, 4707, 4706, 4747, 4746, 4748, 4749, 4751, 4750, 3844, 3845, 3840, 3841, 3842, 3843, 4017, 4016, 4015, 4014, 4019, 4018, 3979, 3978, 3983, 3982, 3980, 3981, 3846, 3847, 3850, 3851, 3848, 3849, 3969, 3968, 3967, 3966, 3971, 3970, 3937, 3936, 3940, 3941, 3938, 3939, 3897, 3896, 3898, 3899, 3894, 3895, 3989, 3988] +private def clayworthR_inv_c7 : Array (Fin 12096) := #[3987, 3986, 3985, 3984, 3853, 3852, 3855, 3854, 3856, 3857, 3864, 3865, 3868, 3869, 3866, 3867, 3916, 3917, 3914, 3915, 3912, 3913, 4031, 4030, 4028, 4029, 4027, 4026, 4006, 4007, 4004, 4005, 4002, 4003, 3959, 3958, 3956, 3957, 3954, 3955, 3922, 3923, 3921, 3920, 3918, 3919, 3965, 3964, 3960, 3961, 3963, 3962, 3903, 3902, 3904, 3905, 3901, 3900, 3863, 3862, 3860, 3861, 3858, 3859, 3881, 3880, 3878, 3879, 3877, 3876, 3935, 3934, 3931, 3930, 3933, 3932, 3911, 3910, 3907, 3906, 3908, 3909, 4012, 4013, 4008, 4009, 4010, 4011, 3993, 3992, 3994, 3995, 3991, 3990, 3874, 3875, 3870, 3871, 3873, 3872, 3886, 3887, 3882, 3883, 3884, 3885, 4024, 4025, 4021, 4020, 4022, 4023, 3924, 3925, 3927, 3926, 3928, 3929, 3998, 3999, 4001, 4000, 3997, 3996, 3977, 3976, 3972, 3973, 3975, 3974, 3892, 3893, 3890, 3891, 3888, 3889, 3950, 3951, 3953, 3952, 3949, 3948, 3942, 3943, 3944, 3945, 3946, 3947, 5559, 5558, 5556, 5557, 5561, 5560, 5452, 5453, 5450, 5451, 5449, 5448, 5515, 5514, 5517, 5516, 5519, 5518, 5440, 5441, 5438, 5439, 5436, 5437, 5484, 5485, 5489, 5488, 5487, 5486, 5378, 5379, 5376, 5377, 5381, 5380, 5388, 5389, 5390, 5391, 5393, 5392, 5457, 5456, 5458, 5459, 5454, 5455, 5549, 5548, 5544, 5545, 5547, 5546, 5507, 5506, 5503, 5502, 5504, 5505, 5491, 5490, 5493, 5492, 5495, 5494, 5406, 5407, 5411, 5410, 5408, 5409, 5405, 5404, 5402, 5403, 5401, 5400, 5469, 5468, 5470, 5471, 5467, 5466, 5480, 5481, 5482, 5483, 5478, 5479, 5394, 5395, 5398, 5399, 5397, 5396, 5434, 5435, 5430, 5431, 5432, 5433, 5386, 5387, 5382, 5383, 5384, 5385, 5423, 5422, 5418, 5419, 5420, 5421, 5416, 5417, 5414, 5415, 5412, 5413, 5533, 5532, 5537, 5536, 5535, 5534, 5554, 5555, 5552, 5553, 5551, 5550, 5524, 5525, 5522, 5523, 5521, 5520, 5510, 5511, 5513, 5512, 5508, 5509, 5446, 5447, 5443, 5442, 5444, 5445, 5564, 5565, 5566, 5567, 5562, 5563, 5473, 5472, 5475, 5474, 5477, 5476, 5541, 5540, 5542, 5543, 5538, 5539, 5500, 5501, 5496, 5497, 5498, 5499, 5460, 5461, 5462, 5463, 5465, 5464, 5425, 5424, 5428, 5429, 5427, 5426, 5527, 5526, 5528, 5529, 5531, 5530, 11909, 11908, 11906, 11907, 11905, 11904, 11979, 11978, 11976, 11977, 11980, 11981, 12084, 12085, 12086, 12087, 12088, 12089, 11914, 11915, 11911, 11910, 11913, 11912, 11999, 11998, 11995, 11994, 11996, 11997, 12068, 12069, 12066, 12067, 12071, 12070, 12013, 12012, 12017, 12016, 12015, 12014, 12059, 12058, 12057, 12056, 12055, 12054, 11916, 11917, 11920, 11921, 11919, 11918, 12004, 12005, 12002, 12003, 12000, 12001, 11983, 11982, 11985, 11984, 11986, 11987, 12078, 12079, 12080, 12081, 12082, 12083, 12061, 12060, 12064, 12065, 12063, 12062, 11955, 11954, 11952, 11953, 11956, 11957, 11946, 11947, 11949, 11948, 11950, 11951, 12006, 12007, 12011, 12010, 12009, 12008, 11937, 11936, 11938, 11939, 11934, 11935, 11932, 11933, 11928, 11929, 11931, 11930, 11969, 11968, 11967, 11966, 11965, 11964, 11963, 11962, 11961, 11960, 11958, 11959, 12075, 12074, 12072, 12073, 12076, 12077, 11943, 11942, 11944, 11945, 11940, 11941, 12042, 12043, 12047, 12046, 12045, 12044, 11992, 11993, 11989, 11988, 11991, 11990, 12051, 12050, 12052, 12053, 12049, 12048, 12093, 12092, 12095, 12094, 12091, 12090, 12020, 12021, 12019, 12018] +private def clayworthR_inv_c8 : Array (Fin 12096) := #[12023, 12022, 12041, 12040, 12038, 12039, 12036, 12037, 11974, 11975, 11973, 11972, 11970, 11971, 12034, 12035, 12030, 12031, 12033, 12032, 12025, 12024, 12029, 12028, 12027, 12026, 11922, 11923, 11925, 11924, 11926, 11927, 10756, 10757, 10754, 10755, 10752, 10753, 10808, 10809, 10806, 10807, 10810, 10811, 10938, 10939, 10940, 10941, 10942, 10943, 10761, 10760, 10759, 10758, 10763, 10762, 10828, 10829, 10826, 10827, 10825, 10824, 10907, 10906, 10905, 10904, 10902, 10903, 10764, 10765, 10769, 10768, 10767, 10766, 10776, 10777, 10779, 10778, 10780, 10781, 10832, 10833, 10834, 10835, 10830, 10831, 10851, 10850, 10848, 10849, 10853, 10852, 10935, 10934, 10933, 10932, 10936, 10937, 10879, 10878, 10880, 10881, 10883, 10882, 10924, 10925, 10920, 10921, 10922, 10923, 10869, 10868, 10866, 10867, 10870, 10871, 10782, 10783, 10786, 10787, 10784, 10785, 10843, 10842, 10847, 10846, 10845, 10844, 10896, 10897, 10898, 10899, 10900, 10901, 10816, 10817, 10813, 10812, 10815, 10814, 10799, 10798, 10794, 10795, 10797, 10796, 10793, 10792, 10791, 10790, 10789, 10788, 10858, 10859, 10855, 10854, 10856, 10857, 10918, 10919, 10917, 10916, 10915, 10914, 10927, 10926, 10931, 10930, 10928, 10929, 10888, 10889, 10886, 10887, 10885, 10884, 10804, 10805, 10800, 10801, 10803, 10802, 10820, 10821, 10819, 10818, 10822, 10823, 10895, 10894, 10890, 10891, 10892, 10893, 10877, 10876, 10875, 10874, 10872, 10873, 10913, 10912, 10909, 10908, 10910, 10911, 10839, 10838, 10836, 10837, 10841, 10840, 10863, 10862, 10865, 10864, 10860, 10861, 10771, 10770, 10773, 10772, 10774, 10775, 10742, 10743, 10740, 10741, 10745, 10744, 10561, 10560, 10565, 10564, 10562, 10563, 10734, 10735, 10736, 10737, 10738, 10739, 10717, 10716, 10718, 10719, 10721, 10720, 10613, 10612, 10609, 10608, 10611, 10610, 10656, 10657, 10658, 10659, 10660, 10661, 10713, 10712, 10715, 10714, 10711, 10710, 10577, 10576, 10573, 10572, 10575, 10574, 10637, 10636, 10635, 10634, 10633, 10632, 10618, 10619, 10616, 10617, 10614, 10615, 10750, 10751, 10748, 10749, 10746, 10747, 10729, 10728, 10730, 10731, 10733, 10732, 10679, 10678, 10675, 10674, 10677, 10676, 10579, 10578, 10582, 10583, 10581, 10580, 10700, 10701, 10702, 10703, 10699, 10698, 10570, 10571, 10568, 10569, 10566, 10567, 10590, 10591, 10595, 10594, 10592, 10593, 10589, 10588, 10587, 10586, 10584, 10585, 10654, 10655, 10651, 10650, 10652, 10653, 10709, 10708, 10704, 10705, 10707, 10706, 10628, 10629, 10630, 10631, 10626, 10627, 10687, 10686, 10688, 10689, 10690, 10691, 10601, 10600, 10596, 10597, 10598, 10599, 10620, 10621, 10623, 10622, 10624, 10625, 10693, 10692, 10697, 10696, 10695, 10694, 10681, 10680, 10682, 10683, 10684, 10685, 10644, 10645, 10646, 10647, 10649, 10648, 10673, 10672, 10671, 10670, 10668, 10669, 10639, 10638, 10643, 10642, 10641, 10640, 10606, 10607, 10604, 10605, 10602, 10603, 10663, 10662, 10667, 10666, 10665, 10664, 10724, 10725, 10723, 10722, 10726, 10727, 7108, 7109, 7104, 7105, 7106, 7107, 7168, 7169, 7164, 7165, 7167, 7166, 7288, 7289, 7284, 7285, 7286, 7287, 7254, 7255, 7256, 7257, 7259, 7258, 7206, 7207, 7209, 7208, 7211, 7210, 7200, 7201, 7205, 7204, 7203, 7202, 7281, 7280, 7283, 7282, 7278, 7279, 7275, 7274, 7273, 7272, 7277, 7276, 7137, 7136, 7139, 7138, 7134, 7135, 7128, 7129, 7130, 7131, 7133, 7132, 7189, 7188, 7192, 7193, 7191, 7190, 7236, 7237, 7239, 7238, 7241, 7240, 7127, 7126, 7123, 7122, 7125, 7124, 7170, 7171, 7173, 7172, 7175, 7174] +private def clayworthR_inv_c9 : Array (Fin 12096) := #[7121, 7120, 7119, 7118, 7116, 7117, 7144, 7145, 7143, 7142, 7141, 7140, 7252, 7253, 7248, 7249, 7250, 7251, 7182, 7183, 7186, 7187, 7184, 7185, 7261, 7260, 7262, 7263, 7264, 7265, 7226, 7227, 7225, 7224, 7229, 7228, 7231, 7230, 7234, 7235, 7232, 7233, 7155, 7154, 7157, 7156, 7152, 7153, 7176, 7177, 7178, 7179, 7180, 7181, 7149, 7148, 7147, 7146, 7151, 7150, 7293, 7292, 7294, 7295, 7291, 7290, 7199, 7198, 7194, 7195, 7197, 7196, 7269, 7268, 7270, 7271, 7266, 7267, 7242, 7243, 7244, 7245, 7246, 7247, 7159, 7158, 7163, 7162, 7160, 7161, 7220, 7221, 7223, 7222, 7219, 7218, 7215, 7214, 7217, 7216, 7213, 7212, 7110, 7111, 7112, 7113, 7114, 7115, 9413, 9412, 9409, 9408, 9410, 9411, 9587, 9586, 9583, 9582, 9584, 9585, 9467, 9466, 9465, 9464, 9463, 9462, 9553, 9552, 9556, 9557, 9555, 9554, 9589, 9588, 9591, 9590, 9592, 9593, 9458, 9459, 9460, 9461, 9456, 9457, 9533, 9532, 9531, 9530, 9529, 9528, 9549, 9548, 9547, 9546, 9550, 9551, 9417, 9416, 9414, 9415, 9419, 9418, 9473, 9472, 9469, 9468, 9470, 9471, 9597, 9596, 9599, 9598, 9594, 9595, 9572, 9573, 9570, 9571, 9574, 9575, 9439, 9438, 9441, 9440, 9443, 9442, 9480, 9481, 9484, 9485, 9482, 9483, 9526, 9527, 9525, 9524, 9523, 9522, 9434, 9435, 9436, 9437, 9432, 9433, 9427, 9426, 9430, 9431, 9428, 9429, 9449, 9448, 9447, 9446, 9444, 9445, 9544, 9545, 9543, 9542, 9541, 9540, 9578, 9579, 9581, 9580, 9577, 9576, 9512, 9513, 9514, 9515, 9511, 9510, 9517, 9516, 9520, 9521, 9518, 9519, 9455, 9454, 9451, 9450, 9452, 9453, 9487, 9486, 9488, 9489, 9491, 9490, 9565, 9564, 9567, 9566, 9569, 9568, 9492, 9493, 9496, 9497, 9494, 9495, 9509, 9508, 9507, 9506, 9504, 9505, 9534, 9535, 9537, 9536, 9538, 9539, 9479, 9478, 9475, 9474, 9476, 9477, 9503, 9502, 9499, 9498, 9501, 9500, 9558, 9559, 9561, 9560, 9563, 9562, 9425, 9424, 9420, 9421, 9422, 9423, 6772, 6773, 6769, 6768, 6771, 6770, 6720, 6721, 6725, 6724, 6722, 6723, 6911, 6910, 6906, 6907, 6908, 6909, 6870, 6871, 6875, 6874, 6873, 6872, 6890, 6891, 6893, 6892, 6889, 6888, 6727, 6726, 6730, 6731, 6729, 6728, 6737, 6736, 6732, 6733, 6734, 6735, 6800, 6801, 6803, 6802, 6799, 6798, 6780, 6781, 6783, 6782, 6784, 6785, 6819, 6818, 6817, 6816, 6821, 6820, 6902, 6903, 6900, 6901, 6905, 6904, 6808, 6809, 6807, 6806, 6805, 6804, 6866, 6867, 6868, 6869, 6864, 6865, 6826, 6827, 6824, 6825, 6822, 6823, 6775, 6774, 6779, 6778, 6776, 6777, 6756, 6757, 6760, 6761, 6759, 6758, 6746, 6747, 6749, 6748, 6744, 6745, 6886, 6887, 6884, 6885, 6882, 6883, 6796, 6797, 6795, 6794, 6792, 6793, 6896, 6897, 6898, 6899, 6894, 6895, 6848, 6849, 6850, 6851, 6847, 6846, 6742, 6743, 6741, 6740, 6738, 6739, 6790, 6791, 6786, 6787, 6788, 6789, 6862, 6863, 6859, 6858, 6860, 6861, 6750, 6751, 6754, 6755, 6753, 6752, 6856, 6857, 6855, 6854, 6852, 6853, 6812, 6813, 6811, 6810, 6815, 6814, 6833, 6832, 6829, 6828, 6831, 6830, 6845, 6844, 6843, 6842, 6841, 6840, 6881, 6880, 6876, 6877, 6878, 6879, 6762, 6763, 6764, 6765, 6766, 6767, 6836, 6837, 6839, 6838, 6834, 6835, 1779, 1778, 1777, 1776, 1781, 1780, 1903, 1902] +private def clayworthR_inv_c10 : Array (Fin 12096) := #[1905, 1904, 1907, 1906, 1897, 1896, 1901, 1900, 1899, 1898, 1879, 1878, 1883, 1882, 1881, 1880, 1910, 1911, 1912, 1913, 1908, 1909, 1867, 1866, 1871, 1870, 1868, 1869, 1790, 1791, 1793, 1792, 1788, 1789, 1825, 1824, 1826, 1827, 1829, 1828, 1728, 1729, 1730, 1731, 1732, 1733, 1807, 1806, 1810, 1811, 1808, 1809, 1918, 1919, 1917, 1916, 1914, 1915, 1852, 1853, 1849, 1848, 1851, 1850, 1746, 1747, 1749, 1748, 1751, 1750, 1805, 1804, 1803, 1802, 1801, 1800, 1815, 1814, 1817, 1816, 1812, 1813, 1784, 1785, 1786, 1787, 1782, 1783, 1736, 1737, 1738, 1739, 1734, 1735, 1767, 1766, 1765, 1764, 1768, 1769, 1752, 1753, 1756, 1757, 1755, 1754, 1822, 1823, 1818, 1819, 1821, 1820, 1888, 1889, 1886, 1887, 1885, 1884, 1859, 1858, 1856, 1857, 1855, 1854, 1742, 1743, 1745, 1744, 1740, 1741, 1860, 1861, 1864, 1865, 1862, 1863, 1774, 1775, 1770, 1771, 1772, 1773, 1762, 1763, 1759, 1758, 1761, 1760, 1833, 1832, 1831, 1830, 1835, 1834, 1872, 1873, 1874, 1875, 1877, 1876, 1794, 1795, 1797, 1796, 1798, 1799, 1844, 1845, 1846, 1847, 1843, 1842, 1840, 1841, 1837, 1836, 1839, 1838, 1890, 1891, 1893, 1892, 1895, 1894, 1540, 1541, 1536, 1537, 1538, 1539, 1607, 1606, 1602, 1603, 1605, 1604, 1543, 1542, 1546, 1547, 1544, 1545, 1677, 1676, 1675, 1674, 1679, 1678, 1718, 1719, 1721, 1720, 1717, 1716, 1610, 1611, 1612, 1613, 1608, 1609, 1618, 1619, 1614, 1615, 1616, 1617, 1642, 1643, 1639, 1638, 1641, 1640, 1726, 1727, 1725, 1724, 1722, 1723, 1706, 1707, 1708, 1709, 1704, 1705, 1701, 1700, 1702, 1703, 1699, 1698, 1661, 1660, 1656, 1657, 1658, 1659, 1669, 1668, 1673, 1672, 1671, 1670, 1563, 1562, 1561, 1560, 1564, 1565, 1629, 1628, 1630, 1631, 1626, 1627, 1552, 1553, 1548, 1549, 1550, 1551, 1586, 1587, 1584, 1585, 1589, 1588, 1577, 1576, 1574, 1575, 1572, 1573, 1571, 1570, 1567, 1566, 1568, 1569, 1648, 1649, 1645, 1644, 1646, 1647, 1685, 1684, 1682, 1683, 1680, 1681, 1557, 1556, 1554, 1555, 1558, 1559, 1595, 1594, 1593, 1592, 1590, 1591, 1582, 1583, 1578, 1579, 1580, 1581, 1666, 1667, 1662, 1663, 1664, 1665, 1712, 1713, 1714, 1715, 1711, 1710, 1636, 1637, 1633, 1632, 1635, 1634, 1695, 1694, 1697, 1696, 1693, 1692, 1654, 1655, 1653, 1652, 1651, 1650, 1623, 1622, 1620, 1621, 1624, 1625, 1597, 1596, 1600, 1601, 1598, 1599, 1688, 1689, 1690, 1691, 1686, 1687, 5170, 5171, 5167, 5166, 5169, 5168, 4993, 4992, 4996, 4997, 4995, 4994, 5062, 5063, 5060, 5061, 5058, 5059, 5160, 5161, 5164, 5165, 5162, 5163, 5178, 5179, 5181, 5180, 5182, 5183, 5126, 5127, 5125, 5124, 5129, 5128, 5051, 5050, 5049, 5048, 5046, 5047, 5122, 5123, 5120, 5121, 5119, 5118, 4998, 4999, 5000, 5001, 5003, 5002, 5054, 5055, 5053, 5052, 5056, 5057, 5071, 5070, 5075, 5074, 5072, 5073, 5159, 5158, 5155, 5154, 5157, 5156, 5107, 5106, 5109, 5108, 5110, 5111, 5146, 5147, 5142, 5143, 5144, 5145, 5101, 5100, 5103, 5102, 5104, 5105, 5023, 5022, 5027, 5026, 5025, 5024, 5017, 5016, 5018, 5019, 5020, 5021, 5115, 5114, 5116, 5117, 5112, 5113, 5005, 5004, 5009, 5008, 5007, 5006, 5034, 5035, 5038, 5039, 5036, 5037, 5033, 5032, 5029, 5028] +private def clayworthR_inv_c11 : Array (Fin 12096) := #[5030, 5031, 5081, 5080, 5076, 5077, 5079, 5078, 5141, 5140, 5139, 5138, 5137, 5136, 5015, 5014, 5013, 5012, 5011, 5010, 5175, 5174, 5176, 5177, 5173, 5172, 5064, 5065, 5066, 5067, 5068, 5069, 5150, 5151, 5153, 5152, 5149, 5148, 5084, 5085, 5082, 5083, 5087, 5086, 5135, 5134, 5131, 5130, 5133, 5132, 5041, 5040, 5045, 5044, 5043, 5042, 5099, 5098, 5094, 5095, 5096, 5097, 5092, 5093, 5089, 5088, 5091, 5090, 8068, 8069, 8067, 8066, 8064, 8065, 8110, 8111, 8107, 8106, 8109, 8108, 8071, 8070, 8075, 8074, 8072, 8073, 8216, 8217, 8215, 8214, 8218, 8219, 8199, 8198, 8197, 8196, 8201, 8200, 8123, 8122, 8119, 8118, 8120, 8121, 8204, 8205, 8202, 8203, 8207, 8206, 8086, 8087, 8082, 8083, 8085, 8084, 8127, 8126, 8125, 8124, 8128, 8129, 8244, 8245, 8246, 8247, 8248, 8249, 8242, 8243, 8241, 8240, 8238, 8239, 8177, 8176, 8173, 8172, 8174, 8175, 8208, 8209, 8211, 8210, 8213, 8212, 8170, 8171, 8168, 8169, 8166, 8167, 8139, 8138, 8136, 8137, 8140, 8141, 8112, 8113, 8114, 8115, 8116, 8117, 8104, 8105, 8102, 8103, 8100, 8101, 8099, 8098, 8096, 8097, 8094, 8095, 8227, 8226, 8231, 8230, 8228, 8229, 8255, 8254, 8252, 8253, 8251, 8250, 8180, 8181, 8183, 8182, 8179, 8178, 8092, 8093, 8091, 8090, 8088, 8089, 8186, 8187, 8184, 8185, 8189, 8188, 8191, 8190, 8195, 8194, 8192, 8193, 8144, 8145, 8142, 8143, 8146, 8147, 8236, 8237, 8232, 8233, 8234, 8235, 8152, 8153, 8149, 8148, 8150, 8151, 8134, 8135, 8130, 8131, 8132, 8133, 8162, 8163, 8164, 8165, 8160, 8161, 8155, 8154, 8157, 8156, 8158, 8159, 8223, 8222, 8221, 8220, 8225, 8224, 8076, 8077, 8079, 8078, 8081, 8080, 5573, 5572, 5569, 5568, 5570, 5571, 5610, 5611, 5615, 5614, 5612, 5613, 5737, 5736, 5739, 5738, 5740, 5741, 5579, 5578, 5575, 5574, 5577, 5576, 5639, 5638, 5635, 5634, 5636, 5637, 5730, 5731, 5734, 5735, 5732, 5733, 5753, 5752, 5749, 5748, 5750, 5751, 5694, 5695, 5697, 5696, 5699, 5698, 5691, 5690, 5689, 5688, 5693, 5692, 5711, 5710, 5709, 5708, 5707, 5706, 5643, 5642, 5645, 5644, 5640, 5641, 5652, 5653, 5656, 5657, 5654, 5655, 5759, 5758, 5757, 5756, 5754, 5755, 5666, 5667, 5664, 5665, 5668, 5669, 5593, 5592, 5596, 5597, 5595, 5594, 5620, 5621, 5616, 5617, 5619, 5618, 5582, 5583, 5585, 5584, 5580, 5581, 5601, 5600, 5603, 5602, 5598, 5599, 5629, 5628, 5632, 5633, 5631, 5630, 5718, 5719, 5722, 5723, 5721, 5720, 5588, 5589, 5586, 5587, 5590, 5591, 5677, 5676, 5680, 5681, 5679, 5678, 5606, 5607, 5605, 5604, 5608, 5609, 5625, 5624, 5627, 5626, 5622, 5623, 5683, 5682, 5684, 5685, 5687, 5686, 5745, 5744, 5747, 5746, 5743, 5742, 5724, 5725, 5728, 5729, 5726, 5727, 5661, 5660, 5659, 5658, 5662, 5663, 5675, 5674, 5672, 5673, 5671, 5670, 5705, 5704, 5700, 5701, 5702, 5703, 5650, 5651, 5648, 5649, 5646, 5647, 5712, 5713, 5714, 5715, 5716, 5717, 1298, 1299, 1296, 1297, 1301, 1300, 1217, 1216, 1215, 1214, 1212, 1213, 1285, 1284, 1289, 1288, 1286, 1287, 1205, 1204, 1201, 1200, 1203, 1202, 1307, 1306, 1305, 1304, 1303, 1302, 1154, 1155, 1152, 1153, 1157, 1156, 1228, 1229, 1225, 1224, 1226, 1227, 1342, 1343, 1340, 1341, 1339, 1338] +private def clayworthR_inv_c12 : Array (Fin 12096) := #[1259, 1258, 1255, 1254, 1257, 1256, 1310, 1311, 1308, 1309, 1312, 1313, 1176, 1177, 1178, 1179, 1180, 1181, 1219, 1218, 1223, 1222, 1221, 1220, 1169, 1168, 1164, 1165, 1167, 1166, 1192, 1193, 1189, 1188, 1191, 1190, 1187, 1186, 1183, 1182, 1184, 1185, 1234, 1235, 1230, 1231, 1233, 1232, 1292, 1293, 1294, 1295, 1290, 1291, 1206, 1207, 1209, 1208, 1211, 1210, 1321, 1320, 1323, 1322, 1325, 1324, 1264, 1265, 1261, 1260, 1262, 1263, 1171, 1170, 1174, 1175, 1173, 1172, 1273, 1272, 1275, 1274, 1276, 1277, 1280, 1281, 1282, 1283, 1279, 1278, 1267, 1266, 1271, 1270, 1269, 1268, 1337, 1336, 1333, 1332, 1334, 1335, 1328, 1329, 1331, 1330, 1327, 1326, 1251, 1250, 1249, 1248, 1252, 1253, 1195, 1194, 1198, 1199, 1196, 1197, 1247, 1246, 1243, 1242, 1245, 1244, 1241, 1240, 1236, 1237, 1239, 1238, 1315, 1314, 1317, 1316, 1318, 1319, 1162, 1163, 1158, 1159, 1161, 1160, 3460, 3461, 3458, 3459, 3456, 3457, 3512, 3513, 3510, 3511, 3514, 3515, 3637, 3636, 3639, 3638, 3640, 3641, 3594, 3595, 3598, 3599, 3596, 3597, 3520, 3521, 3516, 3517, 3518, 3519, 3463, 3462, 3465, 3464, 3466, 3467, 3524, 3525, 3527, 3526, 3523, 3522, 3542, 3543, 3544, 3545, 3540, 3541, 3626, 3627, 3629, 3628, 3625, 3624, 3575, 3574, 3570, 3571, 3573, 3572, 3566, 3567, 3569, 3568, 3565, 3564, 3480, 3481, 3484, 3485, 3482, 3483, 3588, 3589, 3590, 3591, 3592, 3593, 3548, 3549, 3547, 3546, 3550, 3551, 3478, 3479, 3474, 3475, 3476, 3477, 3490, 3491, 3489, 3488, 3487, 3486, 3605, 3604, 3603, 3602, 3600, 3601, 3529, 3528, 3532, 3533, 3531, 3530, 3618, 3619, 3621, 3620, 3623, 3622, 3635, 3634, 3630, 3631, 3633, 3632, 3610, 3611, 3608, 3609, 3606, 3607, 3502, 3503, 3498, 3499, 3501, 3500, 3582, 3583, 3584, 3585, 3586, 3587, 3492, 3493, 3496, 3497, 3494, 3495, 3581, 3580, 3579, 3578, 3576, 3577, 3644, 3645, 3647, 3646, 3642, 3643, 3552, 3553, 3555, 3554, 3556, 3557, 3539, 3538, 3537, 3536, 3534, 3535, 3505, 3504, 3509, 3508, 3506, 3507, 3558, 3559, 3561, 3560, 3562, 3563, 3613, 3612, 3614, 3615, 3616, 3617, 3473, 3472, 3469, 3468, 3470, 3471, 771, 770, 772, 773, 769, 768, 951, 950, 949, 948, 952, 953, 900, 901, 903, 902, 905, 904, 947, 946, 943, 942, 944, 945, 913, 912, 914, 915, 916, 917, 882, 883, 885, 884, 887, 886, 776, 777, 774, 775, 779, 778, 787, 786, 790, 791, 789, 788, 812, 813, 811, 810, 814, 815, 840, 841, 844, 845, 842, 843, 959, 958, 956, 957, 954, 955, 938, 939, 936, 937, 940, 941, 875, 874, 871, 870, 872, 873, 907, 906, 910, 911, 908, 909, 798, 799, 800, 801, 802, 803, 848, 849, 847, 846, 850, 851, 794, 795, 797, 796, 793, 792, 806, 807, 808, 809, 804, 805, 857, 856, 853, 852, 854, 855, 896, 897, 894, 895, 898, 899, 824, 825, 826, 827, 822, 823, 923, 922, 920, 921, 918, 919, 817, 816, 818, 819, 821, 820, 877, 876, 880, 881, 879, 878, 834, 835, 836, 837, 838, 839, 933, 932, 935, 934, 930, 931, 867, 866, 865, 864, 868, 869, 889, 888] +private def clayworthR_inv_c13 : Array (Fin 12096) := #[890, 891, 893, 892, 833, 832, 830, 831, 829, 828, 860, 861, 863, 862, 859, 858, 924, 925, 926, 927, 929, 928, 781, 780, 783, 782, 785, 784, 2565, 2564, 2562, 2563, 2566, 2567, 2677, 2676, 2678, 2679, 2680, 2681, 2631, 2630, 2632, 2633, 2629, 2628, 2498, 2499, 2497, 2496, 2500, 2501, 2665, 2664, 2669, 2668, 2666, 2667, 2642, 2643, 2640, 2641, 2644, 2645, 2621, 2620, 2619, 2618, 2617, 2616, 2572, 2573, 2569, 2568, 2570, 2571, 2639, 2638, 2635, 2634, 2636, 2637, 2502, 2503, 2506, 2507, 2505, 2504, 2514, 2515, 2517, 2516, 2519, 2518, 2583, 2582, 2581, 2580, 2584, 2585, 2589, 2588, 2586, 2587, 2590, 2591, 2687, 2686, 2685, 2684, 2683, 2682, 2660, 2661, 2659, 2658, 2663, 2662, 2599, 2598, 2600, 2601, 2602, 2603, 2541, 2540, 2539, 2538, 2542, 2543, 2532, 2533, 2536, 2537, 2535, 2534, 2521, 2520, 2525, 2524, 2522, 2523, 2550, 2551, 2555, 2554, 2553, 2552, 2547, 2546, 2549, 2548, 2545, 2544, 2597, 2596, 2593, 2592, 2595, 2594, 2625, 2624, 2627, 2626, 2623, 2622, 2656, 2657, 2654, 2655, 2652, 2653, 2674, 2675, 2671, 2670, 2672, 2673, 2648, 2649, 2647, 2646, 2651, 2650, 2609, 2608, 2606, 2607, 2605, 2604, 2529, 2528, 2527, 2526, 2531, 2530, 2612, 2613, 2610, 2611, 2614, 2615, 2578, 2579, 2575, 2574, 2576, 2577, 2556, 2557, 2558, 2559, 2561, 2560, 2513, 2512, 2508, 2509, 2510, 2511, 2163, 2162, 2161, 2160, 2165, 2164, 2287, 2286, 2289, 2288, 2291, 2290, 2200, 2201, 2198, 2199, 2197, 2196, 2250, 2251, 2255, 2254, 2252, 2253, 2183, 2182, 2179, 2178, 2181, 2180, 2169, 2168, 2170, 2171, 2167, 2166, 2231, 2230, 2229, 2228, 2226, 2227, 2113, 2112, 2114, 2115, 2116, 2117, 2122, 2123, 2118, 2119, 2121, 2120, 2187, 2186, 2184, 2185, 2189, 2188, 2301, 2300, 2302, 2303, 2299, 2298, 2279, 2278, 2275, 2274, 2277, 2276, 2270, 2271, 2273, 2272, 2268, 2269, 2248, 2249, 2245, 2244, 2247, 2246, 2138, 2139, 2136, 2137, 2141, 2140, 2130, 2131, 2135, 2134, 2132, 2133, 2204, 2205, 2206, 2207, 2202, 2203, 2222, 2223, 2224, 2225, 2220, 2221, 2173, 2172, 2175, 2174, 2176, 2177, 2153, 2152, 2151, 2150, 2148, 2149, 2147, 2146, 2144, 2145, 2142, 2143, 2242, 2243, 2241, 2240, 2238, 2239, 2194, 2195, 2190, 2191, 2192, 2193, 2284, 2285, 2281, 2280, 2283, 2282, 2260, 2261, 2258, 2259, 2256, 2257, 2127, 2126, 2124, 2125, 2128, 2129, 2211, 2210, 2209, 2208, 2213, 2212, 2159, 2158, 2154, 2155, 2157, 2156, 2217, 2216, 2215, 2214, 2219, 2218, 2295, 2294, 2297, 2296, 2292, 2293, 2233, 2232, 2234, 2235, 2237, 2236, 2263, 2262, 2267, 2266, 2264, 2265, 1975, 1974, 1979, 1978, 1977, 1976, 2095, 2094, 2097, 2096, 2098, 2099, 2054, 2055, 2052, 2053, 2057, 2056, 1922, 1923, 1921, 1920, 1925, 1924, 2083, 2082, 2087, 2086, 2084, 2085, 2111, 2110, 2107, 2106, 2108, 2109, 1982, 1983, 1980, 1981, 1984, 1985, 2063, 2062, 2060, 2061, 2059, 2058, 1937, 1936, 1932, 1933, 1935, 1934, 1998, 1999, 2002, 2003, 2000, 2001, 2081, 2080, 2078, 2079, 2077, 2076, 2027, 2026, 2022, 2023, 2025, 2024, 2010, 2011, 2014, 2015, 2013, 2012, 1949, 1948, 1947, 1946, 1944, 1945, 1993, 1992, 1996, 1997] +private def clayworthR_inv_c14 : Array (Fin 12096) := #[1995, 1994, 2044, 2045, 2043, 2042, 2040, 2041, 2005, 2004, 2009, 2008, 2006, 2007, 1939, 1938, 1943, 1942, 1940, 1941, 1965, 1964, 1963, 1962, 1967, 1966, 1951, 1950, 1954, 1955, 1952, 1953, 1991, 1990, 1988, 1989, 1986, 1987, 2092, 2093, 2088, 2089, 2090, 2091, 2031, 2030, 2029, 2028, 2032, 2033, 2037, 2036, 2035, 2034, 2039, 2038, 1956, 1957, 1960, 1961, 1959, 1958, 2104, 2105, 2101, 2100, 2102, 2103, 2072, 2073, 2074, 2075, 2070, 2071, 2020, 2021, 2016, 2017, 2018, 2019, 2051, 2050, 2047, 2046, 2049, 2048, 1969, 1968, 1973, 1972, 1970, 1971, 2066, 2067, 2065, 2064, 2069, 2068, 1927, 1926, 1931, 1930, 1928, 1929, 5763, 5762, 5765, 5764, 5761, 5760, 5898, 5899, 5900, 5901, 5902, 5903, 5769, 5768, 5767, 5766, 5771, 5770, 5942, 5943, 5940, 5941, 5944, 5945, 5948, 5949, 5950, 5951, 5947, 5946, 5880, 5881, 5884, 5885, 5882, 5883, 5831, 5830, 5829, 5828, 5827, 5826, 5824, 5825, 5823, 5822, 5821, 5820, 5909, 5908, 5904, 5905, 5907, 5906, 5772, 5773, 5774, 5775, 5777, 5776, 5788, 5789, 5784, 5785, 5787, 5786, 5835, 5834, 5837, 5836, 5833, 5832, 5935, 5934, 5936, 5937, 5938, 5939, 5931, 5930, 5932, 5933, 5928, 5929, 5804, 5805, 5802, 5803, 5807, 5806, 5796, 5797, 5800, 5801, 5799, 5798, 5848, 5849, 5847, 5846, 5845, 5844, 5795, 5794, 5792, 5793, 5790, 5791, 5783, 5782, 5779, 5778, 5780, 5781, 5809, 5808, 5811, 5810, 5813, 5812, 5895, 5894, 5897, 5896, 5892, 5893, 5921, 5920, 5919, 5918, 5917, 5916, 5913, 5912, 5914, 5915, 5910, 5911, 5874, 5875, 5876, 5877, 5879, 5878, 5819, 5818, 5816, 5817, 5815, 5814, 5869, 5868, 5870, 5871, 5873, 5872, 5924, 5925, 5927, 5926, 5922, 5923, 5854, 5855, 5852, 5853, 5850, 5851, 5864, 5865, 5867, 5866, 5862, 5863, 5890, 5891, 5886, 5887, 5889, 5888, 5840, 5841, 5839, 5838, 5843, 5842, 5860, 5861, 5856, 5857, 5859, 5858, 9023, 9022, 9019, 9018, 9021, 9020, 8896, 8897, 8894, 8895, 8892, 8893, 9013, 9012, 9014, 9015, 9017, 9016, 8982, 8983, 8985, 8984, 8987, 8986, 8963, 8962, 8960, 8961, 8958, 8959, 8872, 8873, 8871, 8870, 8869, 8868, 8957, 8956, 8955, 8954, 8952, 8953, 8975, 8974, 8971, 8970, 8973, 8972, 9009, 9008, 9007, 9006, 9010, 9011, 9003, 9002, 9004, 9005, 9001, 9000, 8928, 8929, 8930, 8931, 8932, 8933, 8981, 8980, 8976, 8977, 8979, 8978, 8922, 8923, 8924, 8925, 8926, 8927, 8901, 8900, 8903, 8902, 8899, 8898, 8838, 8839, 8842, 8843, 8840, 8841, 8877, 8876, 8875, 8874, 8878, 8879, 8836, 8837, 8834, 8835, 8832, 8833, 8861, 8860, 8857, 8856, 8859, 8858, 8845, 8844, 8848, 8849, 8846, 8847, 8915, 8914, 8911, 8910, 8912, 8913, 8886, 8887, 8891, 8890, 8889, 8888, 8995, 8994, 8997, 8996, 8999, 8998, 8990, 8991, 8992, 8993, 8988, 8989, 8940, 8941, 8943, 8942, 8944, 8945, 8881, 8880, 8883, 8882, 8885, 8884, 8951, 8950, 8946, 8947, 8949, 8948, 8851, 8850, 8855, 8854, 8853, 8852, 8935, 8934, 8937, 8936, 8938, 8939, 8904, 8905, 8906, 8907, 8909, 8908, 8917, 8916, 8918, 8919, 8920, 8921, 8965, 8964, 8967, 8966, 8969, 8968, 8863, 8862, 8867, 8866, 8865, 8864, 4271, 4270, 4267, 4266, 4269, 4268, 4365, 4364, 4362, 4363, 4366, 4367] +private def clayworthR_inv_c15 : Array (Fin 12096) := #[4297, 4296, 4301, 4300, 4298, 4299, 4393, 4392, 4394, 4395, 4397, 4396, 4375, 4374, 4377, 4376, 4379, 4378, 4415, 4414, 4411, 4410, 4412, 4413, 4274, 4275, 4277, 4276, 4273, 4272, 4373, 4372, 4370, 4371, 4368, 4369, 4225, 4224, 4227, 4226, 4229, 4228, 4287, 4286, 4289, 4288, 4284, 4285, 4388, 4389, 4390, 4391, 4386, 4387, 4336, 4337, 4332, 4333, 4334, 4335, 4320, 4321, 4324, 4325, 4323, 4322, 4313, 4312, 4311, 4310, 4308, 4309, 4237, 4236, 4240, 4241, 4239, 4238, 4279, 4278, 4280, 4281, 4283, 4282, 4234, 4235, 4232, 4233, 4230, 4231, 4254, 4255, 4258, 4259, 4256, 4257, 4250, 4251, 4252, 4253, 4249, 4248, 4359, 4358, 4356, 4357, 4361, 4360, 4402, 4403, 4399, 4398, 4401, 4400, 4343, 4342, 4341, 4340, 4338, 4339, 4243, 4242, 4247, 4246, 4245, 4244, 4265, 4264, 4261, 4260, 4262, 4263, 4290, 4291, 4293, 4292, 4294, 4295, 4345, 4344, 4349, 4348, 4346, 4347, 4408, 4409, 4405, 4404, 4406, 4407, 4306, 4307, 4302, 4303, 4304, 4305, 4331, 4330, 4326, 4327, 4328, 4329, 4351, 4350, 4353, 4352, 4354, 4355, 4319, 4318, 4315, 4314, 4317, 4316, 4381, 4380, 4383, 4382, 4384, 4385, 10180, 10181, 10176, 10177, 10178, 10179, 10217, 10216, 10212, 10213, 10215, 10214, 10241, 10240, 10239, 10238, 10237, 10236, 10356, 10357, 10361, 10360, 10359, 10358, 10321, 10320, 10325, 10324, 10322, 10323, 10235, 10234, 10232, 10233, 10231, 10230, 10273, 10272, 10275, 10274, 10277, 10276, 10223, 10222, 10218, 10219, 10220, 10221, 10318, 10319, 10314, 10315, 10316, 10317, 10337, 10336, 10332, 10333, 10335, 10334, 10244, 10245, 10246, 10247, 10242, 10243, 10259, 10258, 10255, 10254, 10257, 10256, 10350, 10351, 10353, 10352, 10355, 10354, 10290, 10291, 10292, 10293, 10295, 10294, 10309, 10308, 10310, 10311, 10313, 10312, 10262, 10263, 10260, 10261, 10265, 10264, 10193, 10192, 10191, 10190, 10189, 10188, 10228, 10229, 10225, 10224, 10227, 10226, 10204, 10205, 10200, 10201, 10202, 10203, 10271, 10270, 10267, 10266, 10269, 10268, 10331, 10330, 10327, 10326, 10329, 10328, 10367, 10366, 10364, 10365, 10362, 10363, 10341, 10340, 10338, 10339, 10342, 10343, 10194, 10195, 10197, 10196, 10198, 10199, 10298, 10299, 10296, 10297, 10300, 10301, 10208, 10209, 10211, 10210, 10206, 10207, 10306, 10307, 10305, 10304, 10302, 10303, 10251, 10250, 10248, 10249, 10253, 10252, 10344, 10345, 10349, 10348, 10346, 10347, 10288, 10289, 10284, 10285, 10286, 10287, 10278, 10279, 10280, 10281, 10282, 10283, 10187, 10186, 10183, 10182, 10185, 10184, 11321, 11320, 11317, 11316, 11319, 11318, 11270, 11271, 11269, 11268, 11272, 11273, 11139, 11138, 11136, 11137, 11140, 11141, 11219, 11218, 11216, 11217, 11214, 11215, 11310, 11311, 11314, 11315, 11312, 11313, 11289, 11288, 11286, 11287, 11291, 11290, 11200, 11201, 11198, 11199, 11196, 11197, 11239, 11238, 11243, 11242, 11241, 11240, 11189, 11188, 11185, 11184, 11186, 11187, 11279, 11278, 11274, 11275, 11277, 11276, 11143, 11142, 11145, 11144, 11146, 11147, 11204, 11205, 11202, 11203, 11206, 11207, 11236, 11237, 11232, 11233, 11235, 11234, 11280, 11281, 11283, 11282, 11285, 11284, 11265, 11264, 11267, 11266, 11262, 11263, 11191, 11190, 11193, 11192, 11194, 11195, 11177, 11176, 11172, 11173, 11174, 11175, 11160, 11161, 11165, 11164, 11163, 11162, 11158, 11159, 11154, 11155, 11156, 11157, 11209, 11208, 11212, 11213, 11211, 11210, 11298, 11299, 11301, 11300, 11302, 11303, 11294, 11295] +private def clayworthR_inv_c16 : Array (Fin 12096) := #[11293, 11292, 11297, 11296, 11259, 11258, 11261, 11260, 11257, 11256, 11183, 11182, 11179, 11178, 11181, 11180, 11167, 11166, 11170, 11171, 11169, 11168, 11327, 11326, 11322, 11323, 11325, 11324, 11226, 11227, 11229, 11228, 11231, 11230, 11304, 11305, 11306, 11307, 11309, 11308, 11244, 11245, 11248, 11249, 11247, 11246, 11255, 11254, 11251, 11250, 11253, 11252, 11220, 11221, 11222, 11223, 11225, 11224, 11153, 11152, 11148, 11149, 11151, 11150, 9797, 9796, 9792, 9793, 9794, 9795, 9856, 9857, 9853, 9852, 9854, 9855, 9948, 9949, 9951, 9950, 9953, 9952, 9880, 9881, 9879, 9878, 9877, 9876, 9955, 9954, 9958, 9959, 9956, 9957, 9868, 9869, 9866, 9867, 9864, 9865, 9900, 9901, 9902, 9903, 9904, 9905, 9809, 9808, 9805, 9804, 9806, 9807, 9872, 9873, 9875, 9874, 9871, 9870, 9892, 9893, 9889, 9888, 9890, 9891, 9982, 9983, 9980, 9981, 9979, 9978, 9914, 9915, 9916, 9917, 9912, 9913, 9825, 9824, 9822, 9823, 9826, 9827, 9816, 9817, 9821, 9820, 9818, 9819, 9860, 9861, 9858, 9859, 9862, 9863, 9802, 9803, 9801, 9800, 9798, 9799, 9845, 9844, 9843, 9842, 9840, 9841, 9832, 9833, 9830, 9831, 9828, 9829, 9898, 9899, 9895, 9894, 9896, 9897, 9942, 9943, 9946, 9947, 9944, 9945, 9960, 9961, 9964, 9965, 9963, 9962, 9977, 9976, 9974, 9975, 9973, 9972, 9812, 9813, 9814, 9815, 9811, 9810, 9935, 9934, 9930, 9931, 9932, 9933, 9836, 9837, 9838, 9839, 9834, 9835, 9929, 9928, 9926, 9927, 9924, 9925, 9885, 9884, 9883, 9882, 9887, 9886, 9969, 9968, 9966, 9967, 9971, 9970, 9910, 9911, 9906, 9907, 9908, 9909, 9923, 9922, 9919, 9918, 9921, 9920, 9937, 9936, 9939, 9938, 9940, 9941, 9847, 9846, 9851, 9850, 9849, 9848, 7442, 7443, 7445, 7444, 7441, 7440, 7360, 7361, 7358, 7359, 7357, 7356, 7458, 7459, 7462, 7463, 7460, 7461, 7381, 7380, 7383, 7382, 7384, 7385, 7448, 7449, 7447, 7446, 7451, 7450, 7298, 7299, 7296, 7297, 7300, 7301, 7306, 7307, 7303, 7302, 7304, 7305, 7365, 7364, 7362, 7363, 7367, 7366, 7376, 7377, 7374, 7375, 7379, 7378, 7478, 7479, 7477, 7476, 7480, 7481, 7415, 7414, 7410, 7411, 7413, 7412, 7454, 7455, 7452, 7453, 7457, 7456, 7404, 7405, 7406, 7407, 7409, 7408, 7323, 7322, 7320, 7321, 7325, 7324, 7431, 7430, 7433, 7432, 7428, 7429, 7309, 7308, 7312, 7313, 7310, 7311, 7337, 7336, 7333, 7332, 7334, 7335, 7355, 7354, 7350, 7351, 7353, 7352, 7487, 7486, 7485, 7484, 7483, 7482, 7318, 7319, 7315, 7314, 7316, 7317, 7425, 7424, 7427, 7426, 7422, 7423, 7340, 7341, 7342, 7343, 7339, 7338, 7347, 7346, 7345, 7344, 7348, 7349, 7328, 7329, 7326, 7327, 7330, 7331, 7417, 7416, 7421, 7420, 7419, 7418, 7471, 7470, 7472, 7473, 7474, 7475, 7391, 7390, 7386, 7387, 7389, 7388, 7435, 7434, 7436, 7437, 7439, 7438, 7369, 7368, 7371, 7370, 7372, 7373, 7402, 7403, 7398, 7399, 7400, 7401, 7396, 7397, 7393, 7392, 7394, 7395, 7464, 7465, 7466, 7467, 7468, 7469, 1390, 1391, 1387, 1386, 1388, 1389, 1490, 1491, 1492, 1493, 1488, 1489, 1345, 1344, 1349, 1348, 1346, 1347, 1409, 1408, 1406, 1407, 1405, 1404, 1524, 1525, 1528, 1529, 1526, 1527, 1497, 1496, 1495, 1494, 1499, 1498, 1485, 1484, 1482, 1483, 1486, 1487, 1479, 1478, 1477, 1476, 1480, 1481, 1410, 1411, 1415, 1414] +private def clayworthR_inv_c17 : Array (Fin 12096) := #[1413, 1412, 1392, 1393, 1395, 1394, 1396, 1397, 1533, 1532, 1534, 1535, 1530, 1531, 1446, 1447, 1449, 1448, 1450, 1451, 1364, 1365, 1362, 1363, 1367, 1366, 1356, 1357, 1359, 1358, 1360, 1361, 1421, 1420, 1419, 1418, 1417, 1416, 1474, 1475, 1471, 1470, 1472, 1473, 1430, 1431, 1432, 1433, 1428, 1429, 1351, 1350, 1355, 1354, 1352, 1353, 1379, 1378, 1377, 1376, 1375, 1374, 1369, 1368, 1372, 1373, 1370, 1371, 1399, 1398, 1401, 1400, 1403, 1402, 1512, 1513, 1517, 1516, 1514, 1515, 1504, 1505, 1503, 1502, 1500, 1501, 1456, 1457, 1455, 1454, 1452, 1453, 1382, 1383, 1384, 1385, 1380, 1381, 1468, 1469, 1466, 1467, 1465, 1464, 1459, 1458, 1462, 1463, 1461, 1460, 1424, 1425, 1423, 1422, 1427, 1426, 1518, 1519, 1523, 1522, 1520, 1521, 1444, 1445, 1440, 1441, 1442, 1443, 1439, 1438, 1434, 1435, 1436, 1437, 1510, 1511, 1507, 1506, 1508, 1509, 7685, 7684, 7683, 7682, 7681, 7680, 7691, 7690, 7686, 7687, 7689, 7688, 7762, 7763, 7759, 7758, 7761, 7760, 7823, 7822, 7821, 7820, 7818, 7819, 7749, 7748, 7747, 7746, 7751, 7750, 7776, 7777, 7778, 7779, 7781, 7780, 7745, 7744, 7742, 7743, 7741, 7740, 7841, 7840, 7839, 7838, 7836, 7837, 7696, 7697, 7692, 7693, 7695, 7694, 7871, 7870, 7869, 7868, 7866, 7867, 7856, 7857, 7859, 7858, 7854, 7855, 7798, 7799, 7794, 7795, 7797, 7796, 7706, 7707, 7708, 7709, 7704, 7705, 7814, 7815, 7816, 7817, 7813, 7812, 7769, 7768, 7766, 7767, 7765, 7764, 7703, 7702, 7701, 7700, 7698, 7699, 7732, 7733, 7728, 7729, 7730, 7731, 7721, 7720, 7719, 7718, 7717, 7716, 7714, 7715, 7713, 7712, 7711, 7710, 7775, 7774, 7770, 7771, 7772, 7773, 7835, 7834, 7830, 7831, 7832, 7833, 7852, 7853, 7850, 7851, 7848, 7849, 7805, 7804, 7802, 7803, 7801, 7800, 7737, 7736, 7738, 7739, 7734, 7735, 7755, 7754, 7756, 7757, 7752, 7753, 7809, 7808, 7806, 7807, 7811, 7810, 7726, 7727, 7722, 7723, 7724, 7725, 7863, 7862, 7864, 7865, 7860, 7861, 7787, 7786, 7782, 7783, 7785, 7784, 7829, 7828, 7825, 7824, 7826, 7827, 7792, 7793, 7788, 7789, 7790, 7791, 7845, 7844, 7843, 7842, 7847, 7846, 2690, 2691, 2688, 2689, 2692, 2693, 2863, 2862, 2866, 2867, 2864, 2865, 2778, 2779, 2780, 2781, 2783, 2782, 2733, 2732, 2734, 2735, 2731, 2730, 2830, 2831, 2827, 2826, 2828, 2829, 2695, 2694, 2697, 2696, 2698, 2699, 2756, 2757, 2758, 2759, 2755, 2754, 2744, 2745, 2746, 2747, 2742, 2743, 2858, 2859, 2861, 2860, 2856, 2857, 2853, 2852, 2854, 2855, 2850, 2851, 2797, 2796, 2799, 2798, 2800, 2801, 2714, 2715, 2716, 2717, 2712, 2713, 2707, 2706, 2711, 2710, 2708, 2709, 2769, 2768, 2770, 2771, 2766, 2767, 2738, 2739, 2740, 2741, 2737, 2736, 2718, 2719, 2723, 2722, 2721, 2720, 2776, 2777, 2773, 2772, 2775, 2774, 2749, 2748, 2753, 2752, 2750, 2751, 2838, 2839, 2842, 2843, 2841, 2840, 2873, 2872, 2869, 2868, 2871, 2870, 2806, 2807, 2804, 2805, 2803, 2802, 2700, 2701, 2702, 2703, 2704, 2705, 2817, 2816, 2818, 2819, 2814, 2815, 2820, 2821, 2823, 2822, 2824, 2825, 2726, 2727, 2724, 2725, 2728, 2729, 2809, 2808, 2810, 2811, 2813, 2812, 2876, 2877, 2878, 2879, 2874, 2875, 2845, 2844, 2847, 2846, 2849, 2848] +private def clayworthR_inv_c18 : Array (Fin 12096) := #[2795, 2794, 2792, 2793, 2790, 2791, 2836, 2837, 2833, 2832, 2835, 2834, 2760, 2761, 2764, 2765, 2763, 2762, 2787, 2786, 2788, 2789, 2785, 2784, 4036, 4037, 4032, 4033, 4035, 4034, 4079, 4078, 4074, 4075, 4077, 4076, 4182, 4183, 4186, 4187, 4184, 4185, 4043, 4042, 4038, 4039, 4041, 4040, 4103, 4102, 4099, 4098, 4101, 4100, 4210, 4211, 4207, 4206, 4209, 4208, 4188, 4189, 4190, 4191, 4192, 4193, 4090, 4091, 4086, 4087, 4089, 4088, 4082, 4083, 4084, 4085, 4080, 4081, 4171, 4170, 4174, 4175, 4173, 4172, 4044, 4045, 4048, 4049, 4047, 4046, 4060, 4061, 4056, 4057, 4058, 4059, 4107, 4106, 4105, 4104, 4109, 4108, 4125, 4124, 4122, 4123, 4126, 4127, 4223, 4222, 4221, 4220, 4218, 4219, 4204, 4205, 4201, 4200, 4202, 4203, 4197, 4196, 4198, 4199, 4194, 4195, 4152, 4153, 4154, 4155, 4156, 4157, 4148, 4149, 4146, 4147, 4150, 4151, 4133, 4132, 4130, 4131, 4129, 4128, 4054, 4055, 4053, 4052, 4051, 4050, 4067, 4066, 4062, 4063, 4064, 4065, 4179, 4178, 4177, 4176, 4181, 4180, 4094, 4095, 4097, 4096, 4092, 4093, 4161, 4160, 4163, 4162, 4158, 4159, 4164, 4165, 4168, 4169, 4167, 4166, 4217, 4216, 4213, 4212, 4214, 4215, 4120, 4121, 4116, 4117, 4118, 4119, 4139, 4138, 4135, 4134, 4137, 4136, 4112, 4113, 4110, 4111, 4115, 4114, 4072, 4073, 4068, 4069, 4070, 4071, 4145, 4144, 4141, 4140, 4143, 4142, 8052, 8053, 8056, 8057, 8054, 8055, 7946, 7947, 7944, 7945, 7949, 7948, 8007, 8006, 8004, 8005, 8009, 8008, 7874, 7875, 7873, 7872, 7877, 7876, 7895, 7894, 7890, 7891, 7892, 7893, 7952, 7953, 7954, 7955, 7951, 7950, 8060, 8061, 8063, 8062, 8059, 8058, 8051, 8050, 8049, 8048, 8047, 8046, 8019, 8018, 8016, 8017, 8020, 8021, 7975, 7974, 7976, 7977, 7978, 7979, 8001, 8000, 8003, 8002, 7998, 7999, 7959, 7958, 7957, 7956, 7960, 7961, 7897, 7896, 7900, 7901, 7898, 7899, 7938, 7939, 7942, 7943, 7940, 7941, 7889, 7888, 7884, 7885, 7887, 7886, 7915, 7914, 7919, 7918, 7917, 7916, 7913, 7912, 7911, 7910, 7909, 7908, 8015, 8014, 8012, 8013, 8011, 8010, 8035, 8034, 8036, 8037, 8038, 8039, 8027, 8026, 8024, 8025, 8022, 8023, 7905, 7904, 7902, 7903, 7906, 7907, 7993, 7992, 7994, 7995, 7997, 7996, 7929, 7928, 7930, 7931, 7926, 7927, 7923, 7922, 7925, 7924, 7920, 7921, 7986, 7987, 7988, 7989, 7990, 7991, 8040, 8041, 8042, 8043, 8045, 8044, 7967, 7966, 7963, 7962, 7965, 7964, 7984, 7985, 7983, 7982, 7980, 7981, 7932, 7933, 7937, 7936, 7934, 7935, 7970, 7971, 7973, 7972, 7968, 7969, 8029, 8028, 8033, 8032, 8030, 8031, 7879, 7878, 7881, 7880, 7883, 7882, 2305, 2304, 2306, 2307, 2309, 2308, 2489, 2488, 2484, 2485, 2486, 2487, 2450, 2451, 2452, 2453, 2449, 2448, 2312, 2313, 2310, 2311, 2314, 2315, 2476, 2477, 2475, 2474, 2472, 2473, 2492, 2493, 2495, 2494, 2491, 2490, 2382, 2383, 2384, 2385, 2387, 2386, 2360, 2361, 2362, 2363, 2358, 2359, 2375, 2374, 2371, 2370, 2372, 2373, 2411, 2410, 2407, 2406, 2409, 2408, 2455, 2454, 2458, 2459, 2457, 2456, 2402, 2403, 2405, 2404, 2400, 2401, 2331, 2330, 2329, 2328, 2332, 2333, 2322, 2323, 2324, 2325, 2326, 2327, 2364, 2365, 2368, 2369, 2366, 2367, 2343, 2342] +private def clayworthR_inv_c19 : Array (Fin 12096) := #[2340, 2341, 2344, 2345, 2338, 2339, 2335, 2334, 2336, 2337, 2443, 2442, 2447, 2446, 2445, 2444, 2482, 2483, 2479, 2478, 2481, 2480, 2464, 2465, 2462, 2463, 2460, 2461, 2414, 2415, 2412, 2413, 2416, 2417, 2426, 2427, 2428, 2429, 2424, 2425, 2350, 2351, 2346, 2347, 2348, 2349, 2435, 2434, 2430, 2431, 2433, 2432, 2419, 2418, 2421, 2420, 2423, 2422, 2376, 2377, 2378, 2379, 2380, 2381, 2389, 2388, 2390, 2391, 2392, 2393, 2441, 2440, 2437, 2436, 2438, 2439, 2353, 2352, 2355, 2354, 2356, 2357, 2396, 2397, 2399, 2398, 2395, 2394, 2469, 2468, 2471, 2470, 2466, 2467, 2320, 2321, 2317, 2316, 2319, 2318, 7634, 7635, 7632, 7633, 7636, 7637, 7489, 7488, 7493, 7492, 7490, 7491, 7554, 7555, 7558, 7559, 7556, 7557, 7639, 7638, 7641, 7640, 7643, 7642, 7678, 7679, 7674, 7675, 7677, 7676, 7621, 7620, 7623, 7622, 7624, 7625, 7572, 7573, 7575, 7574, 7576, 7577, 7619, 7618, 7614, 7615, 7617, 7616, 7504, 7505, 7503, 7502, 7501, 7500, 7664, 7665, 7667, 7666, 7662, 7663, 7658, 7659, 7656, 7657, 7661, 7660, 7590, 7591, 7593, 7592, 7594, 7595, 7518, 7519, 7522, 7523, 7520, 7521, 7507, 7506, 7511, 7510, 7509, 7508, 7544, 7545, 7543, 7542, 7547, 7546, 7570, 7571, 7567, 7566, 7569, 7568, 7627, 7626, 7630, 7631, 7629, 7628, 7553, 7552, 7548, 7549, 7551, 7550, 7649, 7648, 7646, 7647, 7644, 7645, 7607, 7606, 7603, 7602, 7605, 7604, 7517, 7516, 7513, 7512, 7514, 7515, 7535, 7534, 7532, 7533, 7531, 7530, 7608, 7609, 7610, 7611, 7612, 7613, 7525, 7524, 7529, 7528, 7527, 7526, 7672, 7673, 7668, 7669, 7670, 7671, 7582, 7583, 7579, 7578, 7581, 7580, 7598, 7599, 7601, 7600, 7596, 7597, 7561, 7560, 7565, 7564, 7563, 7562, 7537, 7536, 7538, 7539, 7541, 7540, 7588, 7589, 7585, 7584, 7586, 7587, 7655, 7654, 7651, 7650, 7653, 7652, 7494, 7495, 7496, 7497, 7498, 7499, 11525, 11524, 11523, 11522, 11520, 11521, 11531, 11530, 11526, 11527, 11529, 11528, 11621, 11620, 11616, 11617, 11619, 11618, 11682, 11683, 11684, 11685, 11686, 11687, 11704, 11705, 11700, 11701, 11702, 11703, 11676, 11677, 11680, 11681, 11678, 11679, 11645, 11644, 11641, 11640, 11642, 11643, 11590, 11591, 11587, 11586, 11589, 11588, 11672, 11673, 11670, 11671, 11674, 11675, 11533, 11532, 11534, 11535, 11537, 11536, 11548, 11549, 11546, 11547, 11544, 11545, 11600, 11601, 11603, 11602, 11598, 11599, 11632, 11633, 11628, 11629, 11630, 11631, 11711, 11710, 11709, 11708, 11707, 11706, 11653, 11652, 11655, 11654, 11656, 11657, 11560, 11561, 11558, 11559, 11557, 11556, 11623, 11622, 11626, 11627, 11625, 11624, 11635, 11634, 11639, 11638, 11637, 11636, 11554, 11555, 11551, 11550, 11553, 11552, 11592, 11593, 11594, 11595, 11597, 11596, 11573, 11572, 11570, 11571, 11569, 11568, 11567, 11566, 11564, 11565, 11562, 11563, 11615, 11614, 11610, 11611, 11612, 11613, 11698, 11699, 11695, 11694, 11697, 11696, 11666, 11667, 11669, 11668, 11664, 11665, 11578, 11579, 11574, 11575, 11576, 11577, 11607, 11606, 11609, 11608, 11604, 11605, 11658, 11659, 11662, 11663, 11660, 11661, 11690, 11691, 11693, 11692, 11688, 11689, 11650, 11651, 11646, 11647, 11649, 11648, 11580, 11581, 11585, 11584, 11583, 11582, 11543, 11542, 11541, 11540, 11538, 11539, 5185, 5184, 5186, 5187, 5189, 5188, 5190, 5191, 5194, 5195, 5193, 5192, 5252, 5253, 5251, 5250] +private def clayworthR_inv_c20 : Array (Fin 12096) := #[5254, 5255, 5363, 5362, 5359, 5358, 5361, 5360, 5328, 5329, 5330, 5331, 5332, 5333, 5371, 5370, 5373, 5372, 5374, 5375, 5310, 5311, 5314, 5315, 5313, 5312, 5231, 5230, 5228, 5229, 5226, 5227, 5275, 5274, 5277, 5276, 5279, 5278, 5222, 5223, 5225, 5224, 5221, 5220, 5260, 5261, 5256, 5257, 5259, 5258, 5235, 5234, 5232, 5233, 5236, 5237, 5273, 5272, 5269, 5268, 5271, 5270, 5355, 5354, 5356, 5357, 5352, 5353, 5302, 5303, 5299, 5298, 5301, 5300, 5323, 5322, 5324, 5325, 5327, 5326, 5291, 5290, 5289, 5288, 5286, 5287, 5208, 5209, 5211, 5210, 5213, 5212, 5266, 5267, 5264, 5265, 5262, 5263, 5306, 5307, 5308, 5309, 5304, 5305, 5200, 5201, 5198, 5199, 5196, 5197, 5321, 5320, 5316, 5317, 5318, 5319, 5244, 5245, 5248, 5249, 5246, 5247, 5347, 5346, 5349, 5348, 5350, 5351, 5369, 5368, 5366, 5367, 5365, 5364, 5339, 5338, 5337, 5336, 5335, 5334, 5207, 5206, 5203, 5202, 5204, 5205, 5238, 5239, 5240, 5241, 5242, 5243, 5218, 5219, 5216, 5217, 5214, 5215, 5296, 5297, 5293, 5292, 5294, 5295, 5285, 5284, 5281, 5280, 5283, 5282, 5343, 5342, 5345, 5344, 5340, 5341, 10370, 10371, 10372, 10373, 10368, 10369, 10507, 10506, 10511, 10510, 10508, 10509, 10543, 10542, 10546, 10547, 10545, 10544, 10524, 10525, 10529, 10528, 10526, 10527, 10499, 10498, 10494, 10495, 10496, 10497, 10516, 10517, 10512, 10513, 10515, 10514, 10385, 10384, 10380, 10381, 10383, 10382, 10428, 10429, 10432, 10433, 10431, 10430, 10425, 10424, 10423, 10422, 10426, 10427, 10446, 10447, 10450, 10451, 10449, 10448, 10471, 10470, 10472, 10473, 10474, 10475, 10519, 10518, 10521, 10520, 10523, 10522, 10403, 10402, 10401, 10400, 10399, 10398, 10443, 10442, 10444, 10445, 10441, 10440, 10490, 10491, 10492, 10493, 10488, 10489, 10454, 10455, 10456, 10457, 10452, 10453, 10390, 10391, 10387, 10386, 10389, 10388, 10379, 10378, 10376, 10377, 10375, 10374, 10408, 10409, 10404, 10405, 10406, 10407, 10462, 10463, 10459, 10458, 10460, 10461, 10536, 10537, 10539, 10538, 10540, 10541, 10551, 10550, 10552, 10553, 10548, 10549, 10533, 10532, 10534, 10535, 10531, 10530, 10478, 10479, 10481, 10480, 10476, 10477, 10394, 10395, 10393, 10392, 10396, 10397, 10413, 10412, 10415, 10414, 10411, 10410, 10482, 10483, 10484, 10485, 10487, 10486, 10558, 10559, 10555, 10554, 10556, 10557, 10469, 10468, 10465, 10464, 10466, 10467, 10501, 10500, 10503, 10502, 10505, 10504, 10439, 10438, 10435, 10434, 10437, 10436, 10416, 10417, 10421, 10420, 10419, 10418, 6149, 6148, 6145, 6144, 6146, 6147, 6155, 6154, 6151, 6150, 6153, 6152, 6202, 6203, 6199, 6198, 6200, 6201, 6309, 6308, 6307, 6306, 6310, 6311, 6290, 6291, 6289, 6288, 6293, 6292, 6325, 6324, 6327, 6326, 6329, 6328, 6189, 6188, 6190, 6191, 6187, 6186, 6281, 6280, 6276, 6277, 6279, 6278, 6157, 6156, 6159, 6158, 6160, 6161, 6335, 6334, 6332, 6333, 6331, 6330, 6284, 6285, 6282, 6283, 6286, 6287, 6237, 6236, 6239, 6238, 6235, 6234, 6163, 6162, 6167, 6166, 6165, 6164, 6215, 6214, 6212, 6213, 6210, 6211, 6268, 6269, 6267, 6266, 6264, 6265, 6220, 6221, 6219, 6218, 6217, 6216, 6182, 6183, 6181, 6180, 6184, 6185, 6226, 6227, 6222, 6223, 6224, 6225, 6274, 6275, 6272, 6273, 6271, 6270, 6316, 6317, 6314, 6315, 6313, 6312, 6296, 6297, 6298, 6299, 6294, 6295, 6243, 6242, 6245, 6244, 6240, 6241] +private def clayworthR_inv_c21 : Array (Fin 12096) := #[6255, 6254, 6257, 6256, 6252, 6253, 6197, 6196, 6193, 6192, 6195, 6194, 6259, 6258, 6261, 6260, 6263, 6262, 6170, 6171, 6172, 6173, 6169, 6168, 6246, 6247, 6249, 6248, 6251, 6250, 6321, 6320, 6322, 6323, 6318, 6319, 6301, 6300, 6302, 6303, 6305, 6304, 6208, 6209, 6204, 6205, 6206, 6207, 6175, 6174, 6176, 6177, 6178, 6179, 6231, 6230, 6228, 6229, 6232, 6233, 6965, 6964, 6961, 6960, 6963, 6962, 6915, 6914, 6913, 6912, 6916, 6917, 6981, 6980, 6979, 6978, 6983, 6982, 7097, 7096, 7093, 7092, 7095, 7094, 6971, 6970, 6969, 6968, 6967, 6966, 7015, 7014, 7018, 7019, 7017, 7016, 7052, 7053, 7054, 7055, 7051, 7050, 6919, 6918, 6922, 6923, 6921, 6920, 7000, 7001, 6996, 6997, 6998, 6999, 7102, 7103, 7101, 7100, 7098, 7099, 7080, 7081, 7083, 7082, 7085, 7084, 7076, 7077, 7075, 7074, 7079, 7078, 7058, 7059, 7057, 7056, 7061, 7060, 7027, 7026, 7031, 7030, 7029, 7028, 6943, 6942, 6946, 6947, 6945, 6944, 7002, 7003, 7007, 7006, 7005, 7004, 6937, 6936, 6940, 6941, 6939, 6938, 6930, 6931, 6935, 6934, 6933, 6932, 6950, 6951, 6948, 6949, 6952, 6953, 7013, 7012, 7008, 7009, 7010, 7011, 6972, 6973, 6976, 6977, 6975, 6974, 7068, 7069, 7070, 7071, 7072, 7073, 7091, 7090, 7089, 7088, 7087, 7086, 7065, 7064, 7063, 7062, 7067, 7066, 6958, 6959, 6957, 6956, 6954, 6955, 7038, 7039, 7042, 7043, 7041, 7040, 7036, 7037, 7033, 7032, 7034, 7035, 6992, 6993, 6991, 6990, 6994, 6995, 7048, 7049, 7045, 7044, 7047, 7046, 6984, 6985, 6988, 6989, 6986, 6987, 7025, 7024, 7020, 7021, 7023, 7022, 6925, 6924, 6927, 6926, 6928, 6929, 8645, 8644, 8640, 8641, 8643, 8642, 8689, 8688, 8693, 8692, 8691, 8690, 8821, 8820, 8822, 8823, 8825, 8824, 8785, 8784, 8786, 8787, 8789, 8788, 8710, 8711, 8708, 8709, 8707, 8706, 8830, 8831, 8826, 8827, 8829, 8828, 8730, 8731, 8733, 8732, 8735, 8734, 8777, 8776, 8775, 8774, 8773, 8772, 8793, 8792, 8794, 8795, 8791, 8790, 8653, 8652, 8657, 8656, 8655, 8654, 8697, 8696, 8695, 8694, 8698, 8699, 8817, 8816, 8815, 8814, 8818, 8819, 8754, 8755, 8756, 8757, 8758, 8759, 8800, 8801, 8796, 8797, 8799, 8798, 8744, 8745, 8743, 8742, 8746, 8747, 8660, 8661, 8658, 8659, 8663, 8662, 8715, 8714, 8717, 8716, 8713, 8712, 8723, 8722, 8720, 8721, 8718, 8719, 8651, 8650, 8646, 8647, 8649, 8648, 8674, 8675, 8673, 8672, 8671, 8670, 8667, 8666, 8665, 8664, 8669, 8668, 8728, 8729, 8724, 8725, 8727, 8726, 8779, 8778, 8781, 8780, 8783, 8782, 8705, 8704, 8703, 8702, 8700, 8701, 8804, 8805, 8807, 8806, 8803, 8802, 8765, 8764, 8763, 8762, 8760, 8761, 8767, 8766, 8770, 8771, 8769, 8768, 8687, 8686, 8682, 8683, 8685, 8684, 8678, 8679, 8677, 8676, 8681, 8680, 8811, 8810, 8809, 8808, 8813, 8812, 8753, 8752, 8748, 8749, 8751, 8750, 8741, 8740, 8736, 8737, 8739, 8738, 4836, 4837, 4840, 4841, 4839, 4838, 4986, 4987, 4988, 4989, 4991, 4990, 4933, 4932, 4935, 4934, 4936, 4937, 4801, 4800, 4804, 4805, 4802, 4803, 4953, 4952, 4951, 4950, 4955, 4954, 4926, 4927, 4928, 4929, 4931, 4930, 4858, 4859, 4854, 4855, 4857, 4856, 4845, 4844, 4847, 4846, 4842, 4843, 4925, 4924, 4922, 4923, 4921, 4920, 4940, 4941] +private def clayworthR_inv_c22 : Array (Fin 12096) := #[4939, 4938, 4943, 4942, 4868, 4869, 4870, 4871, 4867, 4866, 4975, 4974, 4976, 4977, 4979, 4978, 4971, 4970, 4973, 4972, 4969, 4968, 4947, 4946, 4945, 4944, 4948, 4949, 4818, 4819, 4821, 4820, 4822, 4823, 4812, 4813, 4817, 4816, 4814, 4815, 4916, 4917, 4918, 4919, 4914, 4915, 4874, 4875, 4876, 4877, 4872, 4873, 4850, 4851, 4853, 4852, 4849, 4848, 4811, 4810, 4807, 4806, 4808, 4809, 4883, 4882, 4878, 4879, 4881, 4880, 4982, 4983, 4984, 4985, 4981, 4980, 4905, 4904, 4906, 4907, 4903, 4902, 4829, 4828, 4824, 4825, 4826, 4827, 4860, 4861, 4864, 4865, 4863, 4862, 4913, 4912, 4909, 4908, 4911, 4910, 4967, 4966, 4963, 4962, 4965, 4964, 4884, 4885, 4888, 4889, 4886, 4887, 4898, 4899, 4900, 4901, 4896, 4897, 4835, 4834, 4830, 4831, 4833, 4832, 4892, 4893, 4894, 4895, 4890, 4891, 4956, 4957, 4958, 4959, 4961, 4960, 2905, 2904, 2909, 2908, 2907, 2906, 3055, 3054, 3057, 3056, 3059, 3058, 3025, 3024, 3028, 3029, 3026, 3027, 2925, 2924, 2926, 2927, 2922, 2923, 2964, 2965, 2967, 2966, 2969, 2968, 2913, 2912, 2915, 2914, 2910, 2911, 3012, 3013, 3017, 3016, 3015, 3014, 3034, 3035, 3033, 3032, 3030, 3031, 2944, 2945, 2942, 2943, 2940, 2941, 2932, 2933, 2930, 2931, 2928, 2929, 2963, 2962, 2958, 2959, 2961, 2960, 3070, 3071, 3068, 3069, 3067, 3066, 3052, 3053, 3050, 3051, 3048, 3049, 2995, 2994, 2996, 2997, 2999, 2998, 2988, 2989, 2990, 2991, 2992, 2993, 2886, 2887, 2888, 2889, 2891, 2890, 2955, 2954, 2957, 2956, 2953, 2952, 2880, 2881, 2885, 2884, 2882, 2883, 2917, 2916, 2921, 2920, 2918, 2919, 2897, 2896, 2894, 2895, 2893, 2892, 3019, 3018, 3023, 3022, 3021, 3020, 3039, 3038, 3041, 3040, 3037, 3036, 2936, 2937, 2938, 2939, 2934, 2935, 3007, 3006, 3008, 3009, 3010, 3011, 2901, 2900, 2903, 2902, 2898, 2899, 3004, 3005, 3003, 3002, 3001, 3000, 3064, 3065, 3061, 3060, 3063, 3062, 3045, 3044, 3047, 3046, 3042, 3043, 2970, 2971, 2973, 2972, 2974, 2975, 2946, 2947, 2949, 2948, 2951, 2950, 2985, 2984, 2986, 2987, 2982, 2983, 2977, 2976, 2981, 2980, 2979, 2978, 6593, 6592, 6589, 6588, 6590, 6591, 6703, 6702, 6704, 6705, 6707, 6706, 6529, 6528, 6533, 6532, 6531, 6530, 6691, 6690, 6695, 6694, 6693, 6692, 6602, 6603, 6605, 6604, 6600, 6601, 6637, 6636, 6639, 6638, 6641, 6640, 6594, 6595, 6599, 6598, 6596, 6597, 6685, 6684, 6689, 6688, 6686, 6687, 6534, 6535, 6538, 6539, 6536, 6537, 6609, 6608, 6606, 6607, 6611, 6610, 6716, 6717, 6719, 6718, 6714, 6715, 6654, 6655, 6657, 6656, 6659, 6658, 6709, 6708, 6713, 6712, 6711, 6710, 6643, 6642, 6644, 6645, 6646, 6647, 6566, 6567, 6565, 6564, 6568, 6569, 6626, 6627, 6624, 6625, 6629, 6628, 6682, 6683, 6678, 6679, 6680, 6681, 6553, 6552, 6557, 6556, 6555, 6554, 6550, 6551, 6547, 6546, 6549, 6548, 6662, 6663, 6660, 6661, 6664, 6665, 6562, 6563, 6558, 6559, 6560, 6561, 6666, 6667, 6670, 6671, 6668, 6669, 6579, 6578, 6581, 6580, 6576, 6577, 6613, 6612, 6617, 6616, 6615, 6614, 6672, 6673, 6677, 6676, 6674, 6675, 6575, 6574, 6571, 6570, 6572, 6573, 6633, 6632, 6631, 6630, 6635, 6634, 6651, 6650, 6649, 6648, 6652, 6653, 6701, 6700, 6697, 6696] +private def clayworthR_inv_c23 : Array (Fin 12096) := #[6698, 6699, 6618, 6619, 6620, 6621, 6622, 6623, 6587, 6586, 6582, 6583, 6584, 6585, 6544, 6545, 6541, 6540, 6542, 6543, 6340, 6341, 6336, 6337, 6338, 6339, 6380, 6381, 6379, 6378, 6383, 6382, 6511, 6510, 6513, 6512, 6515, 6514, 6471, 6470, 6473, 6472, 6469, 6468, 6409, 6408, 6412, 6413, 6411, 6410, 6507, 6506, 6505, 6504, 6509, 6508, 6517, 6516, 6519, 6518, 6521, 6520, 6394, 6395, 6392, 6393, 6390, 6391, 6432, 6433, 6436, 6437, 6434, 6435, 6476, 6477, 6478, 6479, 6475, 6474, 6342, 6343, 6345, 6344, 6347, 6346, 6419, 6418, 6417, 6416, 6415, 6414, 6400, 6401, 6398, 6399, 6396, 6397, 6527, 6526, 6525, 6524, 6523, 6522, 6499, 6498, 6501, 6500, 6502, 6503, 6493, 6492, 6495, 6494, 6497, 6496, 6449, 6448, 6445, 6444, 6447, 6446, 6369, 6368, 6366, 6367, 6371, 6370, 6425, 6424, 6422, 6423, 6421, 6420, 6464, 6465, 6467, 6466, 6463, 6462, 6359, 6358, 6357, 6356, 6354, 6355, 6388, 6389, 6385, 6384, 6386, 6387, 6430, 6431, 6426, 6427, 6429, 6428, 6403, 6402, 6405, 6404, 6407, 6406, 6486, 6487, 6488, 6489, 6490, 6491, 6455, 6454, 6450, 6451, 6452, 6453, 6364, 6365, 6361, 6360, 6362, 6363, 6456, 6457, 6461, 6460, 6458, 6459, 6440, 6441, 6438, 6439, 6443, 6442, 6373, 6372, 6375, 6374, 6377, 6376, 6480, 6481, 6483, 6482, 6484, 6485, 6348, 6349, 6350, 6351, 6352, 6353, 9988, 9989, 9984, 9985, 9986, 9987, 10166, 10167, 10164, 10165, 10168, 10169, 10149, 10148, 10151, 10150, 10146, 10147, 10068, 10069, 10072, 10073, 10071, 10070, 10170, 10171, 10172, 10173, 10174, 10175, 10140, 10141, 10144, 10145, 10142, 10143, 10059, 10058, 10056, 10057, 10060, 10061, 10046, 10047, 10049, 10048, 10045, 10044, 10000, 10001, 9996, 9997, 9999, 9998, 10079, 10078, 10075, 10074, 10076, 10077, 10095, 10094, 10096, 10097, 10093, 10092, 10160, 10161, 10163, 10162, 10158, 10159, 10153, 10152, 10156, 10157, 10155, 10154, 10021, 10020, 10022, 10023, 10025, 10024, 10016, 10017, 10018, 10019, 10014, 10015, 10139, 10138, 10137, 10136, 10135, 10134, 10100, 10101, 10102, 10103, 10098, 10099, 10007, 10006, 10005, 10004, 10002, 10003, 10055, 10054, 10050, 10051, 10052, 10053, 9993, 9992, 9994, 9995, 9990, 9991, 10037, 10036, 10034, 10035, 10033, 10032, 10031, 10030, 10028, 10029, 10027, 10026, 10067, 10066, 10062, 10063, 10065, 10064, 10114, 10115, 10112, 10113, 10110, 10111, 10009, 10008, 10012, 10013, 10010, 10011, 10123, 10122, 10125, 10124, 10127, 10126, 10128, 10129, 10133, 10132, 10131, 10130, 10043, 10042, 10041, 10040, 10038, 10039, 10117, 10116, 10121, 10120, 10119, 10118, 10086, 10087, 10089, 10088, 10091, 10090, 10084, 10085, 10083, 10082, 10080, 10081, 10109, 10108, 10104, 10105, 10106, 10107, 580, 581, 576, 577, 578, 579, 632, 633, 631, 630, 635, 634, 745, 744, 746, 747, 749, 748, 705, 704, 702, 703, 707, 706, 584, 585, 583, 582, 586, 587, 736, 737, 734, 735, 733, 732, 714, 715, 717, 716, 718, 719, 761, 760, 756, 757, 758, 759, 697, 696, 698, 699, 701, 700, 647, 646, 643, 642, 645, 644, 693, 692, 690, 691, 695, 694, 589, 588, 593, 592, 590, 591, 600, 601, 602, 603, 604, 605, 764, 765, 766, 767, 763, 762, 729, 728, 730, 731, 727, 726, 666, 667, 668, 669, 670, 671] +private def clayworthR_inv_c24 : Array (Fin 12096) := #[710, 711, 709, 708, 712, 713, 686, 687, 689, 688, 685, 684, 608, 609, 610, 611, 607, 606, 637, 636, 639, 638, 640, 641, 595, 594, 599, 598, 597, 596, 627, 626, 624, 625, 628, 629, 616, 617, 613, 612, 615, 614, 721, 720, 725, 724, 723, 722, 741, 740, 739, 738, 742, 743, 681, 680, 683, 682, 679, 678, 619, 618, 621, 620, 622, 623, 672, 673, 674, 675, 676, 677, 755, 754, 751, 750, 752, 753, 663, 662, 660, 661, 665, 664, 656, 657, 658, 659, 655, 654, 648, 649, 650, 651, 652, 653] + +private def clayworthR_inv : Array (Fin 12096) := + clayworthR_inv_c0 ++ clayworthR_inv_c1 ++ clayworthR_inv_c2 ++ clayworthR_inv_c3 ++ clayworthR_inv_c4 ++ clayworthR_inv_c5 ++ clayworthR_inv_c6 ++ clayworthR_inv_c7 ++ clayworthR_inv_c8 ++ clayworthR_inv_c9 ++ clayworthR_inv_c10 ++ clayworthR_inv_c11 ++ clayworthR_inv_c12 ++ clayworthR_inv_c13 ++ clayworthR_inv_c14 ++ clayworthR_inv_c15 ++ clayworthR_inv_c16 ++ clayworthR_inv_c17 ++ clayworthR_inv_c18 ++ clayworthR_inv_c19 ++ clayworthR_inv_c20 ++ clayworthR_inv_c21 ++ clayworthR_inv_c22 ++ clayworthR_inv_c23 ++ clayworthR_inv_c24 + +private def clayworthS_fwd_c0 : Array (Fin 12096) := #[416, 417, 414, 415, 419, 418, 478, 479, 475, 474, 476, 477, 404, 405, 402, 403, 407, 406, 508, 509, 505, 504, 506, 507, 396, 397, 399, 398, 401, 400, 542, 543, 544, 545, 541, 540, 564, 565, 569, 568, 566, 567, 473, 472, 470, 471, 469, 468, 503, 502, 498, 499, 500, 501, 574, 575, 570, 571, 572, 573, 435, 434, 436, 437, 433, 432, 557, 556, 552, 553, 554, 555, 460, 461, 456, 457, 458, 459, 423, 422, 424, 425, 420, 421, 462, 463, 464, 465, 466, 467, 532, 533, 528, 529, 530, 531, 443, 442, 439, 438, 441, 440, 494, 495, 493, 492, 497, 496, 490, 491, 486, 487, 488, 489, 429, 428, 427, 426, 431, 430, 413, 412, 409, 408, 410, 411, 520, 521, 516, 517, 519, 518, 536, 537, 535, 534, 538, 539, 480, 481, 484, 485, 483, 482, 388, 389, 386, 387, 384, 385, 523, 522, 525, 524, 526, 527, 549, 548, 547, 546, 551, 550, 393, 392, 390, 391, 395, 394, 449, 448, 445, 444, 446, 447, 454, 455, 453, 452, 450, 451, 513, 512, 515, 514, 511, 510, 562, 563, 560, 561, 559, 558, 2117, 2116, 2114, 2115, 2112, 2113, 2204, 2205, 2206, 2207, 2202, 2203, 2252, 2253, 2255, 2254, 2250, 2251, 2120, 2121, 2118, 2119, 2122, 2123, 2236, 2237, 2232, 2233, 2235, 2234, 2276, 2277, 2279, 2278, 2275, 2274, 2226, 2227, 2231, 2230, 2228, 2229, 2273, 2272, 2268, 2269, 2271, 2270, 2298, 2299, 2302, 2303, 2300, 2301, 2171, 2170, 2168, 2169, 2166, 2167, 2282, 2283, 2280, 2281, 2285, 2284, 2266, 2267, 2262, 2263, 2265, 2264, 2261, 2260, 2258, 2259, 2256, 2257, 2153, 2152, 2149, 2148, 2151, 2150, 2191, 2190, 2193, 2192, 2194, 2195, 2219, 2218, 2214, 2215, 2216, 2217, 2177, 2176, 2173, 2172, 2175, 2174, 2135, 2134, 2132, 2133, 2131, 2130, 2165, 2164, 2163, 2162, 2160, 2161, 2146, 2147, 2142, 2143, 2145, 2144, 2225, 2224, 2223, 2222, 2220, 2221, 2154, 2155, 2159, 2158, 2157, 2156, 2139, 2138, 2140, 2141, 2137, 2136, 2127, 2126, 2129, 2128, 2125, 2124, 2247, 2246, 2245, 2244, 2248, 2249, 2212, 2213, 2211, 2210, 2209, 2208, 2178, 2179, 2181, 2180, 2182, 2183, 2241, 2240, 2243, 2242, 2238, 2239, 2287, 2286, 2291, 2290, 2289, 2288, 2196, 2197, 2198, 2199, 2200, 2201, 2189, 2188, 2186, 2187, 2185, 2184, 2297, 2296, 2294, 2295, 2293, 2292, 2954, 2955, 2953, 2952, 2956, 2957, 2884, 2885, 2881, 2880, 2883, 2882, 2982, 2983, 2986, 2987, 2984, 2985, 3043, 3042, 3047, 3046, 3045, 3044, 3002, 3003, 3004, 3005, 3000, 3001, 2966, 2967, 2964, 2965, 2968, 2969, 3016, 3017, 3014, 3015, 3013, 3012, 3051, 3050, 3049, 3048, 3053, 3052, 2945, 2944, 2941, 2940, 2942, 2943, 2978, 2979, 2981, 2980, 2977, 2976, 2902, 2903, 2898, 2899, 2900, 2901, 3066, 3067, 3068, 3069, 3071, 3070, 2914, 2915, 2912, 2913, 2910, 2911, 3032, 3033, 3030, 3031, 3034, 3035, 2934, 2935, 2938, 2939, 2936, 2937, 3041, 3040, 3039, 3038, 3036, 3037, 3029, 3028, 3024, 3025, 3027, 3026, 3011, 3010, 3007, 3006, 3009, 3008, 2920, 2921, 2919, 2918, 2916, 2917, 2971, 2970] +private def clayworthS_fwd_c1 : Array (Fin 12096) := #[2972, 2973, 2975, 2974, 2886, 2887, 2891, 2890, 2888, 2889, 2905, 2904, 2907, 2906, 2909, 2908, 2895, 2894, 2893, 2892, 2897, 2896, 2947, 2946, 2949, 2948, 2951, 2950, 2999, 2998, 2994, 2995, 2997, 2996, 2961, 2960, 2958, 2959, 2962, 2963, 2925, 2924, 2927, 2926, 2923, 2922, 3019, 3018, 3022, 3023, 3021, 3020, 3055, 3054, 3057, 3056, 3058, 3059, 2928, 2929, 2933, 2932, 2931, 2930, 2988, 2989, 2993, 2992, 2990, 2991, 3065, 3064, 3061, 3060, 3063, 3062, 5001, 5000, 5002, 5003, 4998, 4999, 5034, 5035, 5036, 5037, 5038, 5039, 5044, 5045, 5043, 5042, 5040, 5041, 5008, 5009, 5004, 5005, 5007, 5006, 5094, 5095, 5098, 5099, 5096, 5097, 5152, 5153, 5148, 5149, 5151, 5150, 5134, 5135, 5130, 5131, 5132, 5133, 5157, 5156, 5158, 5159, 5154, 5155, 5122, 5123, 5120, 5121, 5118, 5119, 5180, 5181, 5183, 5182, 5179, 5178, 5093, 5092, 5088, 5089, 5090, 5091, 4992, 4993, 4994, 4995, 4997, 4996, 5082, 5083, 5084, 5085, 5087, 5086, 5016, 5017, 5021, 5020, 5019, 5018, 5032, 5033, 5030, 5031, 5029, 5028, 5080, 5081, 5077, 5076, 5078, 5079, 5116, 5117, 5115, 5114, 5112, 5113, 5110, 5111, 5107, 5106, 5109, 5108, 5026, 5027, 5022, 5023, 5025, 5024, 5069, 5068, 5065, 5064, 5066, 5067, 5015, 5014, 5012, 5013, 5010, 5011, 5144, 5145, 5143, 5142, 5146, 5147, 5073, 5072, 5074, 5075, 5070, 5071, 5125, 5124, 5126, 5127, 5129, 5128, 5162, 5163, 5161, 5160, 5165, 5164, 5051, 5050, 5046, 5047, 5049, 5048, 5138, 5139, 5140, 5141, 5136, 5137, 5166, 5167, 5171, 5170, 5168, 5169, 5063, 5062, 5058, 5059, 5061, 5060, 5056, 5057, 5052, 5053, 5054, 5055, 5103, 5102, 5101, 5100, 5105, 5104, 5177, 5176, 5175, 5174, 5173, 5172, 1156, 1157, 1152, 1153, 1155, 1154, 1197, 1196, 1199, 1198, 1194, 1195, 1218, 1219, 1223, 1222, 1220, 1221, 1243, 1242, 1244, 1245, 1247, 1246, 1331, 1330, 1327, 1326, 1329, 1328, 1267, 1266, 1271, 1270, 1268, 1269, 1239, 1238, 1240, 1241, 1236, 1237, 1343, 1342, 1338, 1339, 1340, 1341, 1202, 1203, 1204, 1205, 1200, 1201, 1304, 1305, 1303, 1302, 1307, 1306, 1316, 1317, 1319, 1318, 1314, 1315, 1192, 1193, 1191, 1190, 1188, 1189, 1299, 1298, 1300, 1301, 1297, 1296, 1207, 1206, 1209, 1208, 1211, 1210, 1283, 1282, 1279, 1278, 1281, 1280, 1177, 1176, 1180, 1181, 1179, 1178, 1186, 1187, 1184, 1185, 1183, 1182, 1234, 1235, 1231, 1230, 1233, 1232, 1258, 1259, 1256, 1257, 1255, 1254, 1171, 1170, 1174, 1175, 1172, 1173, 1248, 1249, 1251, 1250, 1253, 1252, 1323, 1322, 1321, 1320, 1324, 1325, 1312, 1313, 1308, 1309, 1311, 1310, 1227, 1226, 1225, 1224, 1229, 1228, 1284, 1285, 1286, 1287, 1288, 1289, 1163, 1162, 1160, 1161, 1158, 1159, 1261, 1260, 1263, 1262, 1264, 1265, 1165, 1164, 1168, 1169, 1166, 1167, 1275, 1274, 1276, 1277, 1273, 1272, 1293, 1292, 1295, 1294, 1291, 1290, 1214, 1215, 1216, 1217, 1212, 1213, 1336, 1337, 1332, 1333, 1335, 1334, 6538, 6539, 6536, 6537, 6535, 6534, 6582, 6583, 6586, 6587, 6584, 6585, 6626, 6627, 6628, 6629, 6624, 6625, 6554, 6555, 6553, 6552, 6557, 6556, 6701, 6700, 6699, 6698, 6697, 6696, 6637, 6636, 6639, 6638, 6640, 6641, 6688, 6689, 6687, 6686] +private def clayworthS_fwd_c2 : Array (Fin 12096) := #[6684, 6685, 6572, 6573, 6575, 6574, 6571, 6570, 6715, 6714, 6718, 6719, 6717, 6716, 6598, 6599, 6596, 6597, 6594, 6595, 6615, 6614, 6617, 6616, 6613, 6612, 6702, 6703, 6704, 6705, 6706, 6707, 6675, 6674, 6672, 6673, 6676, 6677, 6529, 6528, 6530, 6531, 6532, 6533, 6591, 6590, 6589, 6588, 6593, 6592, 6618, 6619, 6620, 6621, 6623, 6622, 6683, 6682, 6679, 6678, 6680, 6681, 6581, 6580, 6577, 6576, 6579, 6578, 6658, 6659, 6654, 6655, 6656, 6657, 6567, 6566, 6565, 6564, 6569, 6568, 6631, 6630, 6633, 6632, 6635, 6634, 6562, 6563, 6561, 6560, 6559, 6558, 6648, 6649, 6650, 6651, 6652, 6653, 6711, 6710, 6708, 6709, 6713, 6712, 6691, 6690, 6694, 6695, 6692, 6693, 6545, 6544, 6543, 6542, 6540, 6541, 6660, 6661, 6664, 6665, 6663, 6662, 6547, 6546, 6551, 6550, 6548, 6549, 6669, 6668, 6666, 6667, 6671, 6670, 6603, 6602, 6605, 6604, 6600, 6601, 6611, 6610, 6607, 6606, 6609, 6608, 6644, 6645, 6642, 6643, 6646, 6647, 10419, 10418, 10421, 10420, 10417, 10416, 10442, 10443, 10440, 10441, 10445, 10444, 10387, 10386, 10391, 10390, 10389, 10388, 10524, 10525, 10526, 10527, 10528, 10529, 10383, 10382, 10380, 10381, 10385, 10384, 10504, 10505, 10503, 10502, 10501, 10500, 10498, 10499, 10496, 10497, 10495, 10494, 10368, 10369, 10370, 10371, 10372, 10373, 10428, 10429, 10431, 10430, 10432, 10433, 10512, 10513, 10517, 10516, 10514, 10515, 10549, 10548, 10552, 10553, 10550, 10551, 10533, 10532, 10535, 10534, 10531, 10530, 10506, 10507, 10508, 10509, 10510, 10511, 10486, 10487, 10482, 10483, 10485, 10484, 10464, 10465, 10467, 10466, 10468, 10469, 10400, 10401, 10399, 10398, 10402, 10403, 10408, 10409, 10406, 10407, 10405, 10404, 10463, 10462, 10458, 10459, 10460, 10461, 10438, 10439, 10435, 10434, 10437, 10436, 10491, 10490, 10492, 10493, 10488, 10489, 10414, 10415, 10410, 10411, 10413, 10412, 10475, 10474, 10471, 10470, 10473, 10472, 10395, 10394, 10396, 10397, 10392, 10393, 10541, 10540, 10537, 10536, 10538, 10539, 10523, 10522, 10521, 10520, 10519, 10518, 10453, 10452, 10455, 10454, 10457, 10456, 10449, 10448, 10450, 10451, 10446, 10447, 10478, 10479, 10481, 10480, 10476, 10477, 10542, 10543, 10544, 10545, 10547, 10546, 10376, 10377, 10379, 10378, 10375, 10374, 10427, 10426, 10423, 10422, 10424, 10425, 10558, 10559, 10555, 10554, 10557, 10556, 9638, 9639, 9636, 9637, 9641, 9640, 9750, 9751, 9752, 9753, 9754, 9755, 9613, 9612, 9614, 9615, 9617, 9616, 9705, 9704, 9707, 9706, 9703, 9702, 9681, 9680, 9679, 9678, 9683, 9682, 9719, 9718, 9714, 9715, 9716, 9717, 9756, 9757, 9758, 9759, 9760, 9761, 9783, 9782, 9781, 9780, 9784, 9785, 9786, 9787, 9791, 9790, 9789, 9788, 9732, 9733, 9737, 9736, 9735, 9734, 9769, 9768, 9773, 9772, 9770, 9771, 9658, 9659, 9654, 9655, 9656, 9657, 9747, 9746, 9749, 9748, 9745, 9744, 9646, 9647, 9645, 9644, 9642, 9643, 9663, 9662, 9661, 9660, 9665, 9664, 9685, 9684, 9686, 9687, 9689, 9688, 9628, 9629, 9627, 9626, 9625, 9624, 9649, 9648, 9651, 9650, 9653, 9652, 9669, 9668, 9667, 9666, 9671, 9670, 9712, 9713, 9709, 9708, 9710, 9711, 9694, 9695, 9693, 9692, 9690, 9691, 9632, 9633, 9634, 9635, 9631, 9630, 9675, 9674, 9673, 9672, 9677, 9676, 9623, 9622, 9621, 9620, 9618, 9619, 9739, 9738, 9743, 9742, 9740, 9741, 9723, 9722, 9720, 9721, 9725, 9724] +private def clayworthS_fwd_c3 : Array (Fin 12096) := #[9602, 9603, 9600, 9601, 9604, 9605, 9697, 9696, 9701, 9700, 9699, 9698, 9767, 9766, 9763, 9762, 9765, 9764, 9607, 9606, 9610, 9611, 9608, 9609, 9726, 9727, 9731, 9730, 9729, 9728, 9778, 9779, 9777, 9776, 9774, 9775, 967, 966, 969, 968, 970, 971, 990, 991, 992, 993, 994, 995, 1122, 1123, 1125, 1124, 1127, 1126, 1107, 1106, 1104, 1105, 1109, 1108, 1057, 1056, 1059, 1058, 1061, 1060, 1096, 1097, 1095, 1094, 1093, 1092, 1041, 1040, 1039, 1038, 1043, 1042, 1136, 1137, 1139, 1138, 1134, 1135, 1084, 1085, 1082, 1083, 1081, 1080, 1130, 1131, 1129, 1128, 1133, 1132, 961, 960, 962, 963, 965, 964, 1149, 1148, 1147, 1146, 1151, 1150, 1023, 1022, 1021, 1020, 1025, 1024, 1017, 1016, 1014, 1015, 1019, 1018, 1121, 1120, 1116, 1117, 1118, 1119, 1112, 1113, 1114, 1115, 1110, 1111, 999, 998, 1001, 1000, 997, 996, 1098, 1099, 1101, 1100, 1103, 1102, 1073, 1072, 1069, 1068, 1071, 1070, 986, 987, 985, 984, 989, 988, 1036, 1037, 1032, 1033, 1035, 1034, 1079, 1078, 1075, 1074, 1076, 1077, 1030, 1031, 1026, 1027, 1028, 1029, 1089, 1088, 1087, 1086, 1090, 1091, 974, 975, 973, 972, 976, 977, 1051, 1050, 1052, 1053, 1055, 1054, 981, 980, 983, 982, 979, 978, 1064, 1065, 1066, 1067, 1063, 1062, 1003, 1002, 1005, 1004, 1007, 1006, 1010, 1011, 1012, 1013, 1008, 1009, 1044, 1045, 1049, 1048, 1047, 1046, 1145, 1144, 1140, 1141, 1143, 1142, 7538, 7539, 7540, 7541, 7536, 7537, 7507, 7506, 7508, 7509, 7511, 7510, 7643, 7642, 7641, 7640, 7639, 7638, 7501, 7500, 7503, 7502, 7505, 7504, 7574, 7575, 7573, 7572, 7576, 7577, 7666, 7667, 7662, 7663, 7664, 7665, 7618, 7619, 7616, 7617, 7615, 7614, 7660, 7661, 7658, 7659, 7656, 7657, 7676, 7677, 7679, 7678, 7675, 7674, 7586, 7587, 7588, 7589, 7585, 7584, 7527, 7526, 7529, 7528, 7524, 7525, 7651, 7650, 7654, 7655, 7653, 7652, 7647, 7646, 7649, 7648, 7645, 7644, 7634, 7635, 7636, 7637, 7632, 7633, 7548, 7549, 7552, 7553, 7550, 7551, 7612, 7613, 7608, 7609, 7610, 7611, 7488, 7489, 7490, 7491, 7492, 7493, 7547, 7546, 7545, 7544, 7543, 7542, 7578, 7579, 7580, 7581, 7583, 7582, 7521, 7520, 7522, 7523, 7518, 7519, 7570, 7571, 7566, 7567, 7569, 7568, 7564, 7565, 7561, 7560, 7563, 7562, 7531, 7530, 7532, 7533, 7535, 7534, 7516, 7517, 7515, 7514, 7512, 7513, 7596, 7597, 7598, 7599, 7601, 7600, 7620, 7621, 7625, 7624, 7622, 7623, 7497, 7496, 7494, 7495, 7498, 7499, 7603, 7602, 7605, 7604, 7606, 7607, 7627, 7626, 7631, 7630, 7628, 7629, 7557, 7556, 7558, 7559, 7555, 7554, 7591, 7590, 7594, 7595, 7593, 7592, 7672, 7673, 7669, 7668, 7671, 7670, 8670, 8671, 8672, 8673, 8675, 8674, 8714, 8715, 8716, 8717, 8712, 8713, 8739, 8738, 8737, 8736, 8741, 8740, 8809, 8808, 8813, 8812, 8810, 8811, 8655, 8654, 8652, 8653, 8657, 8656, 8731, 8730, 8735, 8734, 8733, 8732, 8815, 8814, 8816, 8817, 8818, 8819, 8777, 8776, 8774, 8775, 8773, 8772, 8640, 8641, 8643, 8642, 8645, 8644, 8829, 8828, 8826, 8827, 8831, 8830, 8680, 8681, 8679, 8678, 8677, 8676, 8790, 8791, 8792, 8793, 8795, 8794, 8804, 8805, 8806, 8807, 8802, 8803, 8785, 8784] +private def clayworthS_fwd_c4 : Array (Fin 12096) := #[8786, 8787, 8789, 8788, 8704, 8705, 8701, 8700, 8702, 8703, 8688, 8689, 8693, 8692, 8690, 8691, 8669, 8668, 8666, 8667, 8664, 8665, 8728, 8729, 8724, 8725, 8726, 8727, 8683, 8682, 8685, 8684, 8686, 8687, 8758, 8759, 8754, 8755, 8756, 8757, 8660, 8661, 8659, 8658, 8662, 8663, 8748, 8749, 8750, 8751, 8753, 8752, 8798, 8799, 8796, 8797, 8800, 8801, 8720, 8721, 8719, 8718, 8723, 8722, 8763, 8762, 8765, 8764, 8760, 8761, 8648, 8649, 8650, 8651, 8647, 8646, 8768, 8769, 8766, 8767, 8771, 8770, 8778, 8779, 8780, 8781, 8783, 8782, 8821, 8820, 8824, 8825, 8823, 8822, 8710, 8711, 8707, 8706, 8709, 8708, 8698, 8699, 8694, 8695, 8696, 8697, 8742, 8743, 8745, 8744, 8747, 8746, 5986, 5987, 5982, 5983, 5984, 5985, 6033, 6032, 6030, 6031, 6035, 6034, 6093, 6092, 6091, 6090, 6095, 6094, 5961, 5960, 5963, 5962, 5959, 5958, 6054, 6055, 6056, 6057, 6059, 6058, 6081, 6080, 6083, 6082, 6079, 6078, 6071, 6070, 6067, 6066, 6069, 6068, 6112, 6113, 6108, 6109, 6110, 6111, 6135, 6134, 6137, 6136, 6132, 6133, 6009, 6008, 6011, 6010, 6006, 6007, 6027, 6026, 6029, 6028, 6025, 6024, 5972, 5973, 5975, 5974, 5970, 5971, 6139, 6138, 6140, 6141, 6143, 6142, 6087, 6086, 6085, 6084, 6089, 6088, 6117, 6116, 6115, 6114, 6118, 6119, 6099, 6098, 6097, 6096, 6100, 6101, 5976, 5977, 5978, 5979, 5981, 5980, 6047, 6046, 6043, 6042, 6045, 6044, 5966, 5967, 5969, 5968, 5965, 5964, 6016, 6017, 6012, 6013, 6014, 6015, 6036, 6037, 6040, 6041, 6038, 6039, 6105, 6104, 6103, 6102, 6107, 6106, 6018, 6019, 6020, 6021, 6022, 6023, 6073, 6072, 6077, 6076, 6074, 6075, 5954, 5955, 5952, 5953, 5956, 5957, 6048, 6049, 6052, 6053, 6051, 6050, 6065, 6064, 6063, 6062, 6061, 6060, 5988, 5989, 5993, 5992, 5991, 5990, 6120, 6121, 6124, 6125, 6123, 6122, 6004, 6005, 6000, 6001, 6002, 6003, 5995, 5994, 5998, 5999, 5997, 5996, 6130, 6131, 6128, 6129, 6127, 6126, 10768, 10769, 10765, 10764, 10766, 10767, 10789, 10788, 10790, 10791, 10793, 10792, 10846, 10847, 10843, 10842, 10844, 10845, 10781, 10780, 10776, 10777, 10778, 10779, 10894, 10895, 10892, 10893, 10890, 10891, 10912, 10913, 10909, 10908, 10910, 10911, 10907, 10906, 10905, 10904, 10902, 10903, 10936, 10937, 10934, 10935, 10932, 10933, 10753, 10752, 10755, 10754, 10756, 10757, 10834, 10835, 10833, 10832, 10831, 10830, 10864, 10865, 10860, 10861, 10862, 10863, 10822, 10823, 10818, 10819, 10820, 10821, 10799, 10798, 10797, 10796, 10794, 10795, 10758, 10759, 10760, 10761, 10762, 10763, 10814, 10815, 10816, 10817, 10812, 10813, 10784, 10785, 10787, 10786, 10782, 10783, 10811, 10810, 10807, 10806, 10809, 10808, 10858, 10859, 10855, 10854, 10857, 10856, 10839, 10838, 10836, 10837, 10841, 10840, 10898, 10899, 10900, 10901, 10897, 10896, 10800, 10801, 10804, 10805, 10802, 10803, 10883, 10882, 10880, 10881, 10878, 10879, 10876, 10877, 10872, 10873, 10874, 10875, 10928, 10929, 10930, 10931, 10926, 10927, 10922, 10923, 10920, 10921, 10924, 10925, 10852, 10853, 10848, 10849, 10850, 10851, 10771, 10770, 10774, 10775, 10773, 10772, 10884, 10885, 10887, 10886, 10889, 10888, 10916, 10917, 10919, 10918, 10914, 10915, 10939, 10938, 10943, 10942, 10940, 10941, 10824, 10825, 10826, 10827, 10828, 10829, 10866, 10867, 10870, 10871, 10869, 10868, 8274, 8275, 8277, 8276] +private def clayworthS_fwd_c5 : Array (Fin 12096) := #[8278, 8279, 8286, 8287, 8291, 8290, 8288, 8289, 8338, 8339, 8334, 8335, 8336, 8337, 8357, 8356, 8354, 8355, 8352, 8353, 8412, 8413, 8417, 8416, 8414, 8415, 8402, 8403, 8401, 8400, 8404, 8405, 8264, 8265, 8267, 8266, 8262, 8263, 8360, 8361, 8362, 8363, 8359, 8358, 8380, 8381, 8377, 8376, 8379, 8378, 8349, 8348, 8347, 8346, 8351, 8350, 8421, 8420, 8422, 8423, 8419, 8418, 8444, 8445, 8446, 8447, 8442, 8443, 8323, 8322, 8324, 8325, 8327, 8326, 8302, 8303, 8300, 8301, 8298, 8299, 8313, 8312, 8314, 8315, 8310, 8311, 8393, 8392, 8389, 8388, 8391, 8390, 8368, 8369, 8364, 8365, 8366, 8367, 8292, 8293, 8295, 8294, 8296, 8297, 8329, 8328, 8330, 8331, 8333, 8332, 8280, 8281, 8284, 8285, 8282, 8283, 8272, 8273, 8270, 8271, 8269, 8268, 8410, 8411, 8407, 8406, 8408, 8409, 8396, 8397, 8394, 8395, 8398, 8399, 8340, 8341, 8345, 8344, 8342, 8343, 8372, 8373, 8370, 8371, 8374, 8375, 8261, 8260, 8259, 8258, 8257, 8256, 8425, 8424, 8429, 8428, 8426, 8427, 8304, 8305, 8306, 8307, 8308, 8309, 8382, 8383, 8385, 8384, 8387, 8386, 8430, 8431, 8434, 8435, 8432, 8433, 8321, 8320, 8316, 8317, 8318, 8319, 8440, 8441, 8436, 8437, 8439, 8438, 10591, 10590, 10595, 10594, 10592, 10593, 10607, 10606, 10605, 10604, 10603, 10602, 10716, 10717, 10720, 10721, 10718, 10719, 10575, 10574, 10572, 10573, 10577, 10576, 10680, 10681, 10684, 10685, 10682, 10683, 10658, 10659, 10656, 10657, 10660, 10661, 10730, 10731, 10728, 10729, 10732, 10733, 10634, 10635, 10636, 10637, 10633, 10632, 10664, 10665, 10666, 10667, 10662, 10663, 10750, 10751, 10747, 10746, 10749, 10748, 10710, 10711, 10713, 10712, 10715, 10714, 10624, 10625, 10623, 10622, 10620, 10621, 10723, 10722, 10725, 10724, 10727, 10726, 10629, 10628, 10626, 10627, 10631, 10630, 10694, 10695, 10693, 10692, 10697, 10696, 10561, 10560, 10563, 10562, 10565, 10564, 10581, 10580, 10582, 10583, 10579, 10578, 10586, 10587, 10585, 10584, 10588, 10589, 10654, 10655, 10650, 10651, 10652, 10653, 10642, 10643, 10638, 10639, 10640, 10641, 10703, 10702, 10701, 10700, 10698, 10699, 10596, 10597, 10601, 10600, 10598, 10599, 10678, 10679, 10675, 10674, 10676, 10677, 10644, 10645, 10646, 10647, 10649, 10648, 10672, 10673, 10669, 10668, 10671, 10670, 10738, 10739, 10735, 10734, 10737, 10736, 10571, 10570, 10569, 10568, 10567, 10566, 10688, 10689, 10691, 10690, 10687, 10686, 10608, 10609, 10610, 10611, 10612, 10613, 10705, 10704, 10708, 10709, 10706, 10707, 10740, 10741, 10744, 10745, 10742, 10743, 10615, 10614, 10619, 10618, 10616, 10617, 162, 163, 166, 167, 164, 165, 21, 20, 18, 19, 23, 22, 130, 131, 129, 128, 127, 126, 172, 173, 169, 168, 171, 170, 184, 185, 180, 181, 182, 183, 72, 73, 76, 77, 74, 75, 107, 106, 103, 102, 105, 104, 33, 32, 34, 35, 31, 30, 191, 190, 187, 186, 189, 188, 47, 46, 43, 42, 44, 45, 60, 61, 62, 63, 64, 65, 150, 151, 152, 153, 155, 154, 147, 146, 148, 149, 144, 145, 132, 133, 134, 135, 136, 137, 0, 1, 2, 3, 5, 4, 51, 50, 52, 53, 48, 49, 96, 97, 99, 98, 100, 101, 24, 25, 29, 28, 27, 26, 36, 37, 39, 38, 41, 40, 94, 95, 91, 90, 93, 92] +private def clayworthS_fwd_c6 : Array (Fin 12096) := #[121, 120, 123, 122, 124, 125, 113, 112, 109, 108, 111, 110, 81, 80, 79, 78, 82, 83, 158, 159, 160, 161, 157, 156, 143, 142, 141, 140, 139, 138, 86, 87, 84, 85, 88, 89, 6, 7, 11, 10, 8, 9, 15, 14, 16, 17, 13, 12, 114, 115, 116, 117, 118, 119, 69, 68, 71, 70, 67, 66, 59, 58, 55, 54, 57, 56, 178, 179, 177, 176, 175, 174, 11722, 11723, 11718, 11719, 11721, 11720, 11795, 11794, 11790, 11791, 11793, 11792, 11883, 11882, 11881, 11880, 11884, 11885, 11731, 11730, 11733, 11732, 11735, 11734, 11847, 11846, 11849, 11848, 11844, 11845, 11866, 11867, 11863, 11862, 11865, 11864, 11817, 11816, 11814, 11815, 11819, 11818, 11854, 11855, 11852, 11853, 11850, 11851, 11714, 11715, 11712, 11713, 11716, 11717, 11788, 11789, 11785, 11784, 11786, 11787, 11831, 11830, 11827, 11826, 11829, 11828, 11755, 11754, 11757, 11756, 11759, 11758, 11771, 11770, 11766, 11767, 11769, 11768, 11868, 11869, 11872, 11873, 11871, 11870, 11891, 11890, 11887, 11886, 11889, 11888, 11783, 11782, 11779, 11778, 11781, 11780, 11823, 11822, 11821, 11820, 11824, 11825, 11736, 11737, 11741, 11740, 11738, 11739, 11763, 11762, 11760, 11761, 11765, 11764, 11752, 11753, 11750, 11751, 11748, 11749, 11812, 11813, 11809, 11808, 11810, 11811, 11746, 11747, 11743, 11742, 11745, 11744, 11799, 11798, 11796, 11797, 11800, 11801, 11838, 11839, 11842, 11843, 11841, 11840, 11876, 11877, 11878, 11879, 11874, 11875, 11804, 11805, 11806, 11807, 11802, 11803, 11857, 11856, 11860, 11861, 11858, 11859, 11728, 11729, 11726, 11727, 11725, 11724, 11893, 11892, 11897, 11896, 11894, 11895, 11772, 11773, 11776, 11777, 11774, 11775, 11832, 11833, 11835, 11834, 11836, 11837, 11903, 11902, 11900, 11901, 11898, 11899, 4615, 4614, 4617, 4616, 4618, 4619, 4661, 4660, 4657, 4656, 4658, 4659, 4758, 4759, 4763, 4762, 4760, 4761, 4625, 4624, 4621, 4620, 4623, 4622, 4698, 4699, 4701, 4700, 4703, 4702, 4771, 4770, 4772, 4773, 4775, 4774, 4733, 4732, 4729, 4728, 4730, 4731, 4766, 4767, 4764, 4765, 4769, 4768, 4610, 4611, 4608, 4609, 4612, 4613, 4792, 4793, 4788, 4789, 4791, 4790, 4707, 4706, 4709, 4708, 4705, 4704, 4641, 4640, 4642, 4643, 4638, 4639, 4794, 4795, 4797, 4796, 4798, 4799, 4666, 4667, 4664, 4665, 4662, 4663, 4734, 4735, 4737, 4736, 4739, 4738, 4678, 4679, 4674, 4675, 4676, 4677, 4750, 4751, 4747, 4746, 4749, 4748, 4646, 4647, 4648, 4649, 4644, 4645, 4724, 4725, 4722, 4723, 4727, 4726, 4633, 4632, 4636, 4637, 4635, 4634, 4650, 4651, 4654, 4655, 4653, 4652, 4680, 4681, 4683, 4682, 4685, 4684, 4631, 4630, 4629, 4628, 4627, 4626, 4757, 4756, 4752, 4753, 4755, 4754, 4745, 4744, 4742, 4743, 4740, 4741, 4693, 4692, 4695, 4694, 4696, 4697, 4686, 4687, 4691, 4690, 4689, 4688, 4718, 4719, 4721, 4720, 4716, 4717, 4776, 4777, 4778, 4779, 4781, 4780, 4782, 4783, 4787, 4786, 4784, 4785, 4672, 4673, 4670, 4671, 4668, 4669, 4711, 4710, 4714, 4715, 4713, 4712, 6346, 6347, 6343, 6342, 6344, 6345, 6377, 6376, 6372, 6373, 6375, 6374, 6424, 6425, 6420, 6421, 6423, 6422, 6359, 6358, 6354, 6355, 6356, 6357, 6461, 6460, 6456, 6457, 6458, 6459, 6433, 6432, 6435, 6434, 6437, 6436, 6500, 6501, 6498, 6499, 6502, 6503, 6496, 6497] +private def clayworthS_fwd_c7 : Array (Fin 12096) := #[6492, 6493, 6494, 6495, 6337, 6336, 6339, 6338, 6341, 6340, 6519, 6518, 6521, 6520, 6517, 6516, 6419, 6418, 6415, 6414, 6417, 6416, 6526, 6527, 6523, 6522, 6524, 6525, 6474, 6475, 6477, 6476, 6478, 6479, 6482, 6483, 6484, 6485, 6480, 6481, 6469, 6468, 6470, 6471, 6473, 6472, 6402, 6403, 6405, 6404, 6407, 6406, 6387, 6386, 6389, 6388, 6384, 6385, 6439, 6438, 6440, 6441, 6442, 6443, 6383, 6382, 6378, 6379, 6381, 6380, 6430, 6431, 6427, 6426, 6429, 6428, 6463, 6462, 6464, 6465, 6466, 6467, 6448, 6449, 6444, 6445, 6446, 6447, 6369, 6368, 6366, 6367, 6371, 6370, 6364, 6365, 6362, 6363, 6361, 6360, 6488, 6489, 6487, 6486, 6491, 6490, 6349, 6348, 6353, 6352, 6350, 6351, 6451, 6450, 6452, 6453, 6455, 6454, 6504, 6505, 6509, 6508, 6506, 6507, 6395, 6394, 6390, 6391, 6393, 6392, 6511, 6510, 6512, 6513, 6514, 6515, 6410, 6411, 6412, 6413, 6409, 6408, 6396, 6397, 6401, 6400, 6398, 6399, 2354, 2355, 2356, 2357, 2352, 2353, 2395, 2394, 2399, 2398, 2396, 2397, 2419, 2418, 2423, 2422, 2420, 2421, 2441, 2440, 2439, 2438, 2436, 2437, 2382, 2383, 2386, 2387, 2385, 2384, 2306, 2307, 2305, 2304, 2309, 2308, 2495, 2494, 2491, 2490, 2493, 2492, 2371, 2370, 2374, 2375, 2372, 2373, 2363, 2362, 2358, 2359, 2361, 2360, 2482, 2483, 2481, 2480, 2478, 2479, 2467, 2466, 2468, 2469, 2470, 2471, 2463, 2462, 2465, 2464, 2460, 2461, 2344, 2345, 2343, 2342, 2340, 2341, 2451, 2450, 2448, 2449, 2453, 2452, 2433, 2432, 2431, 2430, 2435, 2434, 2311, 2310, 2313, 2312, 2314, 2315, 2369, 2368, 2366, 2367, 2364, 2365, 2389, 2388, 2390, 2391, 2393, 2392, 2323, 2322, 2327, 2326, 2325, 2324, 2337, 2336, 2338, 2339, 2334, 2335, 2346, 2347, 2349, 2348, 2351, 2350, 2411, 2410, 2409, 2408, 2406, 2407, 2330, 2331, 2328, 2329, 2333, 2332, 2377, 2376, 2379, 2378, 2380, 2381, 2456, 2457, 2459, 2458, 2454, 2455, 2317, 2316, 2321, 2320, 2319, 2318, 2413, 2412, 2416, 2417, 2415, 2414, 2472, 2473, 2476, 2477, 2475, 2474, 2428, 2429, 2426, 2427, 2424, 2425, 2442, 2443, 2447, 2446, 2445, 2444, 2486, 2487, 2484, 2485, 2488, 2489, 2401, 2400, 2403, 2402, 2405, 2404, 11920, 11921, 11918, 11919, 11916, 11917, 11960, 11961, 11958, 11959, 11962, 11963, 11975, 11974, 11972, 11973, 11970, 11971, 11934, 11935, 11936, 11937, 11939, 11938, 12031, 12030, 12032, 12033, 12035, 12034, 12071, 12070, 12067, 12066, 12068, 12069, 12012, 12013, 12015, 12014, 12017, 12016, 12083, 12082, 12079, 12078, 12080, 12081, 11905, 11904, 11909, 11908, 11907, 11906, 12002, 12003, 12004, 12005, 12001, 12000, 12026, 12027, 12028, 12029, 12025, 12024, 12056, 12057, 12055, 12054, 12058, 12059, 11989, 11988, 11990, 11991, 11993, 11992, 12075, 12074, 12077, 12076, 12073, 12072, 11969, 11968, 11965, 11964, 11967, 11966, 12053, 12052, 12049, 12048, 12051, 12050, 11910, 11911, 11912, 11913, 11914, 11915, 12018, 12019, 12020, 12021, 12022, 12023, 11946, 11947, 11950, 11951, 11949, 11948, 11981, 11980, 11978, 11979, 11976, 11977, 11955, 11954, 11957, 11956, 11953, 11952, 11945, 11944, 11942, 11943, 11941, 11940, 12040, 12041, 12037, 12036, 12039, 12038, 12062, 12063, 12061, 12060, 12065, 12064, 12009, 12008, 12007, 12006, 12011, 12010, 11924, 11925, 11922, 11923, 11927, 11926, 11928, 11929, 11933, 11932] +private def clayworthS_fwd_c8 : Array (Fin 12096) := #[11930, 11931, 12043, 12042, 12044, 12045, 12046, 12047, 12085, 12084, 12087, 12086, 12088, 12089, 11997, 11996, 11998, 11999, 11994, 11995, 11986, 11987, 11984, 11985, 11982, 11983, 12095, 12094, 12092, 12093, 12090, 12091, 3274, 3275, 3273, 3272, 3271, 3270, 3289, 3288, 3290, 3291, 3292, 3293, 3312, 3313, 3316, 3317, 3314, 3315, 3278, 3279, 3280, 3281, 3276, 3277, 3378, 3379, 3382, 3383, 3380, 3381, 3394, 3395, 3392, 3393, 3390, 3391, 3265, 3264, 3268, 3269, 3267, 3266, 3455, 3454, 3450, 3451, 3453, 3452, 3354, 3355, 3358, 3359, 3356, 3357, 3295, 3294, 3296, 3297, 3299, 3298, 3417, 3416, 3415, 3414, 3418, 3419, 3441, 3440, 3439, 3438, 3443, 3442, 3344, 3345, 3346, 3347, 3342, 3343, 3431, 3430, 3427, 3426, 3428, 3429, 3304, 3305, 3302, 3303, 3300, 3301, 3413, 3412, 3409, 3408, 3411, 3410, 3350, 3351, 3349, 3348, 3352, 3353, 3328, 3329, 3325, 3324, 3327, 3326, 3282, 3283, 3286, 3287, 3284, 3285, 3321, 3320, 3319, 3318, 3323, 3322, 3376, 3377, 3373, 3372, 3374, 3375, 3361, 3360, 3362, 3363, 3364, 3365, 3308, 3309, 3306, 3307, 3310, 3311, 3368, 3369, 3366, 3367, 3371, 3370, 3434, 3435, 3432, 3433, 3436, 3437, 3424, 3425, 3423, 3422, 3420, 3421, 3401, 3400, 3397, 3396, 3399, 3398, 3386, 3387, 3388, 3389, 3384, 3385, 3332, 3333, 3334, 3335, 3331, 3330, 3405, 3404, 3406, 3407, 3403, 3402, 3340, 3341, 3339, 3338, 3336, 3337, 3449, 3448, 3447, 3446, 3444, 3445, 9238, 9239, 9234, 9235, 9236, 9237, 9217, 9216, 9219, 9218, 9220, 9221, 9372, 9373, 9375, 9374, 9376, 9377, 9361, 9360, 9362, 9363, 9365, 9364, 9347, 9346, 9342, 9343, 9344, 9345, 9291, 9290, 9289, 9288, 9293, 9292, 9381, 9380, 9379, 9378, 9382, 9383, 9399, 9398, 9396, 9397, 9400, 9401, 9267, 9266, 9269, 9268, 9264, 9265, 9303, 9302, 9304, 9305, 9300, 9301, 9407, 9406, 9402, 9403, 9404, 9405, 9249, 9248, 9250, 9251, 9247, 9246, 9388, 9389, 9386, 9387, 9384, 9385, 9233, 9232, 9230, 9231, 9229, 9228, 9263, 9262, 9259, 9258, 9260, 9261, 9295, 9294, 9298, 9299, 9296, 9297, 9241, 9240, 9245, 9244, 9243, 9242, 9227, 9226, 9224, 9225, 9222, 9223, 9287, 9286, 9283, 9282, 9285, 9284, 9272, 9273, 9271, 9270, 9274, 9275, 9334, 9335, 9331, 9330, 9332, 9333, 9312, 9313, 9316, 9317, 9314, 9315, 9368, 9369, 9367, 9366, 9371, 9370, 9359, 9358, 9357, 9356, 9354, 9355, 9279, 9278, 9277, 9276, 9280, 9281, 9336, 9337, 9339, 9338, 9341, 9340, 9320, 9321, 9323, 9322, 9319, 9318, 9327, 9326, 9329, 9328, 9324, 9325, 9348, 9349, 9352, 9353, 9350, 9351, 9391, 9390, 9392, 9393, 9395, 9394, 9256, 9257, 9254, 9255, 9252, 9253, 9310, 9311, 9306, 9307, 9308, 9309, 11147, 11146, 11142, 11143, 11144, 11145, 11162, 11163, 11161, 11160, 11164, 11165, 11308, 11309, 11304, 11305, 11307, 11306, 11286, 11287, 11291, 11290, 11289, 11288, 11238, 11239, 11241, 11240, 11243, 11242, 11168, 11169, 11170, 11171, 11167, 11166, 11187, 11186, 11189, 11188, 11185, 11184, 11274, 11275, 11278, 11279, 11276, 11277, 11294, 11295, 11293, 11292, 11296, 11297, 11176, 11177, 11174, 11175, 11172, 11173, 11270, 11271, 11269, 11268, 11272, 11273, 11210, 11211, 11209, 11208, 11213, 11212, 11137, 11136, 11139, 11138, 11141, 11140, 11194, 11195, 11190, 11191, 11192, 11193] +private def clayworthS_fwd_c9 : Array (Fin 12096) := #[11244, 11245, 11248, 11249, 11246, 11247, 11157, 11156, 11159, 11158, 11155, 11154, 11222, 11223, 11220, 11221, 11224, 11225, 11265, 11264, 11267, 11266, 11262, 11263, 11178, 11179, 11182, 11183, 11180, 11181, 11230, 11231, 11226, 11227, 11228, 11229, 11251, 11250, 11253, 11252, 11255, 11254, 11303, 11302, 11299, 11298, 11300, 11301, 11284, 11285, 11282, 11283, 11280, 11281, 11232, 11233, 11234, 11235, 11236, 11237, 11148, 11149, 11153, 11152, 11150, 11151, 11257, 11256, 11261, 11260, 11258, 11259, 11312, 11313, 11315, 11314, 11311, 11310, 11196, 11197, 11200, 11201, 11198, 11199, 11319, 11318, 11316, 11317, 11320, 11321, 11214, 11215, 11217, 11216, 11218, 11219, 11207, 11206, 11205, 11204, 11203, 11202, 11327, 11326, 11325, 11324, 11323, 11322, 4048, 4049, 4044, 4045, 4046, 4047, 4068, 4069, 4072, 4073, 4070, 4071, 4145, 4144, 4143, 4142, 4141, 4140, 4188, 4189, 4192, 4193, 4190, 4191, 4057, 4056, 4059, 4058, 4060, 4061, 4202, 4203, 4204, 4205, 4200, 4201, 4175, 4174, 4172, 4173, 4170, 4171, 4198, 4199, 4197, 4196, 4194, 4195, 4034, 4035, 4032, 4033, 4036, 4037, 4106, 4107, 4104, 4105, 4108, 4109, 4219, 4218, 4221, 4220, 4222, 4223, 4084, 4085, 4082, 4083, 4080, 4081, 4066, 4067, 4065, 4064, 4063, 4062, 4186, 4187, 4183, 4182, 4184, 4185, 4094, 4095, 4092, 4093, 4096, 4097, 4039, 4038, 4041, 4040, 4043, 4042, 4135, 4134, 4136, 4137, 4138, 4139, 4077, 4076, 4074, 4075, 4079, 4078, 4111, 4110, 4113, 4112, 4115, 4114, 4156, 4157, 4155, 4154, 4153, 4152, 4119, 4118, 4116, 4117, 4121, 4120, 4131, 4130, 4129, 4128, 4133, 4132, 4123, 4122, 4127, 4126, 4124, 4125, 4161, 4160, 4163, 4162, 4159, 4158, 4207, 4206, 4209, 4208, 4210, 4211, 4054, 4055, 4052, 4053, 4051, 4050, 4164, 4165, 4166, 4167, 4169, 4168, 4086, 4087, 4088, 4089, 4090, 4091, 4178, 4179, 4176, 4177, 4181, 4180, 4101, 4100, 4103, 4102, 4098, 4099, 4147, 4146, 4150, 4151, 4149, 4148, 4216, 4217, 4214, 4215, 4212, 4213, 10032, 10033, 10035, 10034, 10036, 10037, 10006, 10007, 10003, 10002, 10004, 10005, 9999, 9998, 9996, 9997, 10000, 10001, 10117, 10116, 10120, 10121, 10119, 10118, 10163, 10162, 10159, 10158, 10161, 10160, 9984, 9985, 9989, 9988, 9986, 9987, 10175, 10174, 10171, 10170, 10173, 10172, 10074, 10075, 10079, 10078, 10077, 10076, 10106, 10107, 10108, 10109, 10104, 10105, 10039, 10038, 10040, 10041, 10042, 10043, 10049, 10048, 10046, 10047, 10045, 10044, 10147, 10146, 10149, 10148, 10151, 10150, 10062, 10063, 10066, 10067, 10064, 10065, 10130, 10131, 10128, 10129, 10132, 10133, 10052, 10053, 10054, 10055, 10051, 10050, 10014, 10015, 10018, 10019, 10017, 10016, 10031, 10030, 10027, 10026, 10029, 10028, 10082, 10083, 10085, 10084, 10080, 10081, 10138, 10139, 10135, 10134, 10136, 10137, 10022, 10023, 10021, 10020, 10025, 10024, 10087, 10086, 10089, 10088, 10090, 10091, 10009, 10008, 10012, 10013, 10011, 10010, 10154, 10155, 10157, 10156, 10153, 10152, 10098, 10099, 10102, 10103, 10100, 10101, 10092, 10093, 10097, 10096, 10095, 10094, 10145, 10144, 10140, 10141, 10142, 10143, 10112, 10113, 10114, 10115, 10110, 10111, 9991, 9990, 9993, 9992, 9994, 9995, 10124, 10125, 10126, 10127, 10123, 10122, 10058, 10059, 10061, 10060, 10057, 10056, 10169, 10168, 10166, 10167, 10164, 10165, 10071, 10070, 10073, 10072, 10068, 10069, 9830, 9831, 9828, 9829, 9833, 9832, 9851, 9850] +private def clayworthS_fwd_c10 : Array (Fin 12096) := #[9847, 9846, 9848, 9849, 9967, 9966, 9971, 9970, 9969, 9968, 9957, 9956, 9959, 9958, 9955, 9954, 9806, 9807, 9804, 9805, 9808, 9809, 9927, 9926, 9929, 9928, 9925, 9924, 9940, 9941, 9938, 9939, 9936, 9937, 9900, 9901, 9903, 9902, 9905, 9904, 9792, 9793, 9795, 9794, 9796, 9797, 9839, 9838, 9835, 9834, 9836, 9837, 9983, 9982, 9979, 9978, 9981, 9980, 9976, 9977, 9973, 9972, 9974, 9975, 9844, 9845, 9841, 9840, 9842, 9843, 9949, 9948, 9951, 9950, 9952, 9953, 9933, 9932, 9931, 9930, 9934, 9935, 9862, 9863, 9861, 9860, 9858, 9859, 9906, 9907, 9908, 9909, 9911, 9910, 9820, 9821, 9819, 9818, 9816, 9817, 9852, 9853, 9855, 9854, 9857, 9856, 9899, 9898, 9894, 9895, 9897, 9896, 9825, 9824, 9823, 9822, 9826, 9827, 9883, 9882, 9884, 9885, 9887, 9886, 9815, 9814, 9812, 9813, 9811, 9810, 9918, 9919, 9921, 9920, 9922, 9923, 9962, 9963, 9960, 9961, 9964, 9965, 9888, 9889, 9891, 9890, 9893, 9892, 9800, 9801, 9802, 9803, 9798, 9799, 9865, 9864, 9868, 9869, 9867, 9866, 9943, 9942, 9946, 9947, 9945, 9944, 9876, 9877, 9878, 9879, 9880, 9881, 9872, 9873, 9875, 9874, 9871, 9870, 9912, 9913, 9914, 9915, 9916, 9917, 2506, 2507, 2503, 2502, 2504, 2505, 2553, 2552, 2551, 2550, 2555, 2554, 2521, 2520, 2522, 2523, 2524, 2525, 2644, 2645, 2641, 2640, 2642, 2643, 2519, 2518, 2515, 2514, 2517, 2516, 2659, 2658, 2660, 2661, 2663, 2662, 2582, 2583, 2580, 2581, 2584, 2585, 2561, 2560, 2558, 2559, 2556, 2557, 2687, 2686, 2683, 2682, 2685, 2684, 2570, 2571, 2572, 2573, 2568, 2569, 2635, 2634, 2636, 2637, 2639, 2638, 2674, 2675, 2672, 2673, 2670, 2671, 2577, 2576, 2574, 2575, 2579, 2578, 2649, 2648, 2650, 2651, 2646, 2647, 2630, 2631, 2628, 2629, 2633, 2632, 2496, 2497, 2499, 2498, 2500, 2501, 2537, 2536, 2534, 2535, 2533, 2532, 2566, 2567, 2565, 2564, 2563, 2562, 2547, 2546, 2544, 2545, 2548, 2549, 2596, 2597, 2593, 2592, 2594, 2595, 2540, 2541, 2538, 2539, 2542, 2543, 2529, 2528, 2530, 2531, 2526, 2527, 2653, 2652, 2655, 2654, 2656, 2657, 2587, 2586, 2591, 2590, 2588, 2589, 2620, 2621, 2617, 2616, 2619, 2618, 2509, 2508, 2512, 2513, 2511, 2510, 2604, 2605, 2607, 2606, 2609, 2608, 2667, 2666, 2669, 2668, 2664, 2665, 2612, 2613, 2615, 2614, 2610, 2611, 2624, 2625, 2627, 2626, 2623, 2622, 2680, 2681, 2677, 2676, 2678, 2679, 2600, 2601, 2602, 2603, 2598, 2599, 9085, 9084, 9089, 9088, 9086, 9087, 9059, 9058, 9054, 9055, 9057, 9056, 9154, 9155, 9152, 9153, 9150, 9151, 9192, 9193, 9196, 9197, 9194, 9195, 9051, 9050, 9049, 9048, 9052, 9053, 9166, 9167, 9162, 9163, 9164, 9165, 9179, 9178, 9177, 9176, 9174, 9175, 9173, 9172, 9171, 9170, 9169, 9168, 9024, 9025, 9026, 9027, 9028, 9029, 9147, 9146, 9144, 9145, 9149, 9148, 9075, 9074, 9077, 9076, 9072, 9073, 9101, 9100, 9099, 9098, 9097, 9096, 9204, 9205, 9208, 9209, 9207, 9206, 9114, 9115, 9119, 9118, 9116, 9117, 9187, 9186, 9191, 9190, 9189, 9188, 9183, 9182, 9184, 9185, 9181, 9180, 9082, 9083, 9081, 9080, 9078, 9079, 9121, 9120, 9124, 9125, 9122, 9123, 9030, 9031, 9033, 9032, 9035, 9034, 9090, 9091, 9092, 9093, 9094, 9095, 9068, 9069, 9066, 9067] +private def clayworthS_fwd_c11 : Array (Fin 12096) := #[9070, 9071, 9143, 9142, 9139, 9138, 9141, 9140, 9132, 9133, 9134, 9135, 9137, 9136, 9060, 9061, 9065, 9064, 9063, 9062, 9037, 9036, 9041, 9040, 9039, 9038, 9156, 9157, 9159, 9158, 9161, 9160, 9199, 9198, 9203, 9202, 9201, 9200, 9045, 9044, 9047, 9046, 9042, 9043, 9104, 9105, 9106, 9107, 9103, 9102, 9215, 9214, 9211, 9210, 9213, 9212, 9128, 9129, 9130, 9131, 9126, 9127, 9111, 9110, 9112, 9113, 9108, 9109, 4228, 4229, 4226, 4227, 4224, 4225, 4256, 4257, 4255, 4254, 4259, 4258, 4237, 4236, 4239, 4238, 4241, 4240, 4379, 4378, 4375, 4374, 4377, 4376, 4348, 4349, 4344, 4345, 4346, 4347, 4355, 4354, 4350, 4351, 4352, 4353, 4390, 4391, 4389, 4388, 4387, 4386, 4413, 4412, 4411, 4410, 4415, 4414, 4317, 4316, 4314, 4315, 4319, 4318, 4277, 4276, 4274, 4275, 4272, 4273, 4369, 4368, 4372, 4373, 4371, 4370, 4403, 4402, 4399, 4398, 4400, 4401, 4294, 4295, 4292, 4293, 4290, 4291, 4382, 4383, 4384, 4385, 4380, 4381, 4365, 4364, 4366, 4367, 4362, 4363, 4282, 4283, 4278, 4279, 4281, 4280, 4269, 4268, 4266, 4267, 4270, 4271, 4250, 4251, 4248, 4249, 4252, 4253, 4263, 4262, 4261, 4260, 4264, 4265, 4336, 4337, 4332, 4333, 4334, 4335, 4305, 4304, 4303, 4302, 4307, 4306, 4243, 4242, 4246, 4247, 4245, 4244, 4326, 4327, 4328, 4329, 4331, 4330, 4310, 4311, 4308, 4309, 4312, 4313, 4341, 4340, 4342, 4343, 4338, 4339, 4396, 4397, 4393, 4392, 4394, 4395, 4230, 4231, 4235, 4234, 4232, 4233, 4358, 4359, 4356, 4357, 4360, 4361, 4299, 4298, 4300, 4301, 4297, 4296, 4285, 4284, 4289, 4288, 4287, 4286, 4325, 4324, 4321, 4320, 4323, 4322, 4409, 4408, 4407, 4406, 4405, 4404, 7876, 7877, 7872, 7873, 7874, 7875, 7914, 7915, 7919, 7918, 7916, 7917, 7937, 7936, 7933, 7932, 7935, 7934, 7899, 7898, 7897, 7896, 7901, 7900, 7972, 7973, 7969, 7968, 7970, 7971, 8041, 8040, 8044, 8045, 8042, 8043, 7893, 7892, 7891, 7890, 7895, 7894, 7986, 7987, 7990, 7991, 7988, 7989, 8008, 8009, 8004, 8005, 8006, 8007, 8048, 8049, 8047, 8046, 8051, 8050, 7950, 7951, 7954, 7955, 7953, 7952, 7925, 7924, 7921, 7920, 7923, 7922, 8059, 8058, 8063, 8062, 8061, 8060, 8032, 8033, 8028, 8029, 8030, 8031, 8025, 8024, 8026, 8027, 8023, 8022, 7943, 7942, 7941, 7940, 7938, 7939, 7963, 7962, 7965, 7964, 7966, 7967, 7912, 7913, 7908, 7909, 7910, 7911, 8002, 8003, 8001, 8000, 7999, 7998, 7930, 7931, 7926, 7927, 7929, 7928, 7904, 7905, 7906, 7907, 7902, 7903, 7985, 7984, 7980, 7981, 7982, 7983, 8038, 8039, 8034, 8035, 8036, 8037, 8020, 8021, 8016, 8017, 8018, 8019, 7957, 7956, 7961, 7960, 7959, 7958, 7881, 7880, 7879, 7878, 7882, 7883, 8053, 8052, 8057, 8056, 8055, 8054, 7884, 7885, 7888, 7889, 7886, 7887, 7995, 7994, 7996, 7997, 7992, 7993, 7946, 7947, 7948, 7949, 7944, 7945, 8012, 8013, 8014, 8015, 8010, 8011, 7975, 7974, 7978, 7979, 7976, 7977, 266, 267, 268, 269, 265, 264, 294, 295, 298, 299, 297, 296, 312, 313, 316, 317, 314, 315, 352, 353, 348, 349, 350, 351, 347, 346, 345, 344, 343, 342, 194, 195, 193, 192, 196, 197, 227, 226, 224, 225, 223, 222, 382, 383, 378, 379, 380, 381] +private def clayworthS_fwd_c12 : Array (Fin 12096) := #[365, 364, 363, 362, 361, 360, 247, 246, 251, 250, 249, 248, 232, 233, 231, 230, 228, 229, 339, 338, 337, 336, 340, 341, 288, 289, 290, 291, 292, 293, 210, 211, 213, 212, 215, 214, 218, 219, 216, 217, 221, 220, 287, 286, 282, 283, 285, 284, 260, 261, 259, 258, 263, 262, 329, 328, 325, 324, 327, 326, 234, 235, 238, 239, 237, 236, 274, 275, 270, 271, 272, 273, 209, 208, 207, 206, 205, 204, 307, 306, 309, 308, 310, 311, 278, 279, 276, 277, 281, 280, 330, 331, 334, 335, 332, 333, 199, 198, 203, 202, 200, 201, 354, 355, 359, 358, 356, 357, 323, 322, 321, 320, 318, 319, 369, 368, 367, 366, 370, 371, 254, 255, 256, 257, 252, 253, 243, 242, 244, 245, 240, 241, 301, 300, 305, 304, 302, 303, 376, 377, 374, 375, 372, 373, 3467, 3466, 3465, 3464, 3463, 3462, 3487, 3486, 3489, 3488, 3491, 3490, 3508, 3509, 3504, 3505, 3507, 3506, 3579, 3578, 3581, 3580, 3577, 3576, 3628, 3629, 3624, 3625, 3626, 3627, 3456, 3457, 3458, 3459, 3461, 3460, 3563, 3562, 3560, 3561, 3559, 3558, 3494, 3495, 3496, 3497, 3493, 3492, 3518, 3519, 3521, 3520, 3517, 3516, 3634, 3635, 3630, 3631, 3632, 3633, 3615, 3614, 3616, 3617, 3612, 3613, 3609, 3608, 3610, 3611, 3606, 3607, 3530, 3531, 3528, 3529, 3533, 3532, 3587, 3586, 3582, 3583, 3585, 3584, 3552, 3553, 3555, 3554, 3556, 3557, 3515, 3514, 3510, 3511, 3512, 3513, 3536, 3537, 3538, 3539, 3534, 3535, 3591, 3590, 3593, 3592, 3589, 3588, 3499, 3498, 3503, 3502, 3501, 3500, 3574, 3575, 3570, 3571, 3572, 3573, 3484, 3485, 3481, 3480, 3482, 3483, 3620, 3621, 3619, 3618, 3623, 3622, 3547, 3546, 3551, 3550, 3549, 3548, 3541, 3540, 3544, 3545, 3542, 3543, 3598, 3599, 3594, 3595, 3597, 3596, 3468, 3469, 3472, 3473, 3470, 3471, 3478, 3479, 3474, 3475, 3476, 3477, 3602, 3603, 3604, 3605, 3600, 3601, 3638, 3639, 3636, 3637, 3641, 3640, 3522, 3523, 3526, 3527, 3525, 3524, 3564, 3565, 3567, 3566, 3569, 3568, 3646, 3647, 3645, 3644, 3642, 3643, 6159, 6158, 6160, 6161, 6157, 6156, 6177, 6176, 6179, 6178, 6174, 6175, 6215, 6214, 6212, 6213, 6210, 6211, 6304, 6305, 6300, 6301, 6303, 6302, 6289, 6288, 6293, 6292, 6290, 6291, 6247, 6246, 6250, 6251, 6248, 6249, 6147, 6146, 6144, 6145, 6148, 6149, 6327, 6326, 6328, 6329, 6325, 6324, 6232, 6233, 6229, 6228, 6230, 6231, 6172, 6173, 6169, 6168, 6171, 6170, 6334, 6335, 6330, 6331, 6332, 6333, 6277, 6276, 6280, 6281, 6278, 6279, 6316, 6317, 6314, 6315, 6312, 6313, 6193, 6192, 6194, 6195, 6196, 6197, 6298, 6299, 6297, 6296, 6294, 6295, 6263, 6262, 6259, 6258, 6260, 6261, 6150, 6151, 6152, 6153, 6154, 6155, 6184, 6185, 6182, 6183, 6181, 6180, 6227, 6226, 6223, 6222, 6224, 6225, 6209, 6208, 6205, 6204, 6207, 6206, 6268, 6269, 6264, 6265, 6266, 6267, 6166, 6167, 6163, 6162, 6165, 6164, 6282, 6283, 6286, 6287, 6285, 6284, 6218, 6219, 6217, 6216, 6221, 6220, 6242, 6243, 6244, 6245, 6240, 6241, 6307, 6306, 6310, 6311, 6309, 6308, 6257, 6256, 6255, 6254, 6253, 6252, 6186, 6187] +private def clayworthS_fwd_c13 : Array (Fin 12096) := #[6191, 6190, 6188, 6189, 6273, 6272, 6275, 6274, 6271, 6270, 6201, 6200, 6202, 6203, 6198, 6199, 6234, 6235, 6237, 6236, 6239, 6238, 6322, 6323, 6320, 6321, 6318, 6319, 1574, 1575, 1573, 1572, 1577, 1576, 1600, 1601, 1598, 1599, 1597, 1596, 1628, 1629, 1627, 1626, 1631, 1630, 1549, 1548, 1553, 1552, 1550, 1551, 1692, 1693, 1697, 1696, 1694, 1695, 1679, 1678, 1674, 1675, 1677, 1676, 1667, 1666, 1664, 1665, 1662, 1663, 1708, 1709, 1705, 1704, 1706, 1707, 1699, 1698, 1701, 1700, 1702, 1703, 1537, 1536, 1540, 1541, 1539, 1538, 1720, 1721, 1717, 1716, 1718, 1719, 1619, 1618, 1615, 1614, 1616, 1617, 1581, 1580, 1583, 1582, 1579, 1578, 1726, 1727, 1722, 1723, 1725, 1724, 1612, 1613, 1610, 1611, 1608, 1609, 1687, 1686, 1688, 1689, 1690, 1691, 1684, 1685, 1683, 1682, 1680, 1681, 1588, 1589, 1587, 1586, 1585, 1584, 1543, 1542, 1545, 1544, 1546, 1547, 1603, 1602, 1605, 1604, 1607, 1606, 1571, 1570, 1569, 1568, 1566, 1567, 1649, 1648, 1645, 1644, 1647, 1646, 1622, 1623, 1620, 1621, 1624, 1625, 1590, 1591, 1592, 1593, 1594, 1595, 1661, 1660, 1659, 1658, 1656, 1657, 1562, 1563, 1565, 1564, 1560, 1561, 1635, 1634, 1632, 1633, 1637, 1636, 1557, 1556, 1559, 1558, 1555, 1554, 1654, 1655, 1651, 1650, 1652, 1653, 1670, 1671, 1672, 1673, 1668, 1669, 1641, 1640, 1639, 1638, 1642, 1643, 1715, 1714, 1713, 1712, 1710, 1711, 3111, 3110, 3108, 3109, 3113, 3112, 3121, 3120, 3125, 3124, 3123, 3122, 3175, 3174, 3179, 3178, 3177, 3176, 3231, 3230, 3233, 3232, 3229, 3228, 3214, 3215, 3210, 3211, 3213, 3212, 3249, 3248, 3247, 3246, 3251, 3250, 3208, 3209, 3206, 3207, 3205, 3204, 3073, 3072, 3074, 3075, 3077, 3076, 3255, 3254, 3252, 3253, 3257, 3256, 3173, 3172, 3168, 3169, 3171, 3170, 3259, 3258, 3262, 3263, 3260, 3261, 3131, 3130, 3129, 3128, 3127, 3126, 3223, 3222, 3225, 3224, 3227, 3226, 3145, 3144, 3148, 3149, 3147, 3146, 3237, 3236, 3238, 3239, 3235, 3234, 3119, 3118, 3116, 3117, 3115, 3114, 3216, 3217, 3218, 3219, 3220, 3221, 3154, 3155, 3150, 3151, 3153, 3152, 3134, 3135, 3136, 3137, 3133, 3132, 3091, 3090, 3095, 3094, 3093, 3092, 3104, 3105, 3102, 3103, 3107, 3106, 3157, 3156, 3158, 3159, 3161, 3160, 3198, 3199, 3200, 3201, 3202, 3203, 3197, 3196, 3195, 3194, 3192, 3193, 3098, 3099, 3097, 3096, 3101, 3100, 3087, 3086, 3089, 3088, 3085, 3084, 3187, 3186, 3189, 3188, 3190, 3191, 3243, 3242, 3240, 3241, 3245, 3244, 3165, 3164, 3167, 3166, 3163, 3162, 3079, 3078, 3083, 3082, 3080, 3081, 3139, 3138, 3141, 3140, 3142, 3143, 3181, 3180, 3182, 3183, 3184, 3185, 1950, 1951, 1954, 1955, 1953, 1952, 1973, 1972, 1971, 1970, 1969, 1968, 1993, 1992, 1996, 1997, 1994, 1995, 1943, 1942, 1938, 1939, 1940, 1941, 2070, 2071, 2074, 2075, 2073, 2072, 1934, 1935, 1933, 1932, 1937, 1936, 2050, 2051, 2049, 2048, 2046, 2047, 2079, 2078, 2076, 2077, 2080, 2081, 2108, 2109, 2106, 2107, 2110, 2111, 1958, 1959, 1960, 1961, 1957, 1956, 2058, 2059, 2062, 2063, 2061, 2060, 2093, 2092, 2091, 2090, 2089, 2088, 2065, 2064, 2067, 2066, 2069, 2068, 1967, 1966, 1964, 1965, 1962, 1963, 2054, 2055, 2052, 2053] +private def clayworthS_fwd_c14 : Array (Fin 12096) := #[2056, 2057, 1990, 1991, 1986, 1987, 1988, 1989, 2038, 2039, 2034, 2035, 2036, 2037, 1920, 1921, 1922, 1923, 1925, 1924, 1946, 1947, 1945, 1944, 1949, 1948, 1974, 1975, 1979, 1978, 1976, 1977, 2045, 2044, 2040, 2041, 2043, 2042, 2026, 2027, 2024, 2025, 2023, 2022, 2017, 2016, 2019, 2018, 2020, 2021, 2007, 2006, 2008, 2009, 2004, 2005, 2001, 2000, 2002, 2003, 1999, 1998, 1926, 1927, 1930, 1931, 1929, 1928, 2085, 2084, 2087, 2086, 2083, 2082, 2032, 2033, 2030, 2031, 2028, 2029, 1983, 1982, 1985, 1984, 1980, 1981, 2098, 2099, 2095, 2094, 2096, 2097, 2015, 2014, 2010, 2011, 2013, 2012, 2105, 2104, 2100, 2101, 2103, 2102, 5774, 5775, 5776, 5777, 5772, 5773, 5849, 5848, 5846, 5847, 5844, 5845, 5793, 5792, 5795, 5794, 5790, 5791, 5923, 5922, 5924, 5925, 5926, 5927, 5786, 5787, 5784, 5785, 5789, 5788, 5869, 5868, 5872, 5873, 5870, 5871, 5890, 5891, 5888, 5889, 5886, 5887, 5936, 5937, 5935, 5934, 5939, 5938, 5928, 5929, 5930, 5931, 5932, 5933, 5761, 5760, 5763, 5762, 5764, 5765, 5946, 5947, 5950, 5951, 5949, 5948, 5860, 5861, 5857, 5856, 5859, 5858, 5823, 5822, 5824, 5825, 5820, 5821, 5905, 5904, 5907, 5906, 5909, 5908, 5912, 5913, 5915, 5914, 5911, 5910, 5812, 5813, 5810, 5811, 5809, 5808, 5899, 5898, 5901, 5900, 5903, 5902, 5767, 5766, 5768, 5769, 5771, 5770, 5853, 5852, 5851, 5850, 5854, 5855, 5799, 5798, 5801, 5800, 5797, 5796, 5841, 5840, 5839, 5838, 5842, 5843, 5815, 5814, 5817, 5816, 5819, 5818, 5805, 5804, 5803, 5802, 5806, 5807, 5862, 5863, 5864, 5865, 5866, 5867, 5917, 5916, 5918, 5919, 5921, 5920, 5880, 5881, 5882, 5883, 5885, 5884, 5940, 5941, 5945, 5944, 5943, 5942, 5780, 5781, 5782, 5783, 5778, 5779, 5876, 5877, 5878, 5879, 5874, 5875, 5831, 5830, 5827, 5826, 5828, 5829, 5894, 5895, 5897, 5896, 5893, 5892, 5835, 5834, 5836, 5837, 5833, 5832, 4831, 4830, 4835, 4834, 4833, 4832, 4891, 4890, 4894, 4895, 4892, 4893, 4962, 4963, 4965, 4964, 4967, 4966, 4951, 4950, 4955, 4954, 4953, 4952, 4913, 4912, 4910, 4911, 4909, 4908, 4976, 4977, 4975, 4974, 4979, 4978, 4925, 4924, 4922, 4923, 4921, 4920, 4968, 4969, 4970, 4971, 4972, 4973, 4846, 4847, 4844, 4845, 4843, 4842, 4938, 4939, 4941, 4940, 4942, 4943, 4980, 4981, 4984, 4985, 4982, 4983, 4863, 4862, 4865, 4864, 4861, 4860, 4957, 4956, 4960, 4961, 4958, 4959, 4932, 4933, 4934, 4935, 4937, 4936, 4800, 4801, 4803, 4802, 4805, 4804, 4852, 4853, 4848, 4849, 4850, 4851, 4885, 4884, 4889, 4888, 4887, 4886, 4812, 4813, 4814, 4815, 4816, 4817, 4836, 4837, 4839, 4838, 4841, 4840, 4883, 4882, 4879, 4878, 4880, 4881, 4916, 4917, 4919, 4918, 4915, 4914, 4825, 4824, 4829, 4828, 4827, 4826, 4821, 4820, 4819, 4818, 4823, 4822, 4896, 4897, 4899, 4898, 4900, 4901, 4944, 4945, 4948, 4949, 4946, 4947, 4873, 4872, 4876, 4877, 4875, 4874, 4867, 4866, 4870, 4871, 4869, 4868, 4926, 4927, 4930, 4931, 4929, 4928, 4905, 4904, 4906, 4907, 4902, 4903, 4811, 4810, 4806, 4807, 4809, 4808, 4855, 4854, 4857, 4856, 4859, 4858, 4988, 4989, 4987, 4986, 4991, 4990, 8101, 8100, 8103, 8102, 8104, 8105, 8139, 8138, 8140, 8141, 8136, 8137] +private def clayworthS_fwd_c15 : Array (Fin 12096) := #[8160, 8161, 8165, 8164, 8163, 8162, 8232, 8233, 8234, 8235, 8237, 8236, 8215, 8214, 8218, 8219, 8216, 8217, 8085, 8084, 8082, 8083, 8087, 8086, 8246, 8247, 8244, 8245, 8249, 8248, 8240, 8241, 8239, 8238, 8243, 8242, 8065, 8064, 8066, 8067, 8069, 8068, 8158, 8159, 8157, 8156, 8154, 8155, 8203, 8202, 8204, 8205, 8206, 8207, 8255, 8254, 8252, 8253, 8251, 8250, 8220, 8221, 8222, 8223, 8225, 8224, 8193, 8192, 8190, 8191, 8195, 8194, 8071, 8070, 8073, 8072, 8075, 8074, 8115, 8114, 8117, 8116, 8113, 8112, 8148, 8149, 8150, 8151, 8152, 8153, 8106, 8107, 8108, 8109, 8110, 8111, 8099, 8098, 8094, 8095, 8097, 8096, 8135, 8134, 8130, 8131, 8133, 8132, 8176, 8177, 8173, 8172, 8175, 8174, 8143, 8142, 8144, 8145, 8146, 8147, 8092, 8093, 8090, 8091, 8088, 8089, 8229, 8228, 8231, 8230, 8226, 8227, 8213, 8212, 8210, 8211, 8208, 8209, 8196, 8197, 8198, 8199, 8201, 8200, 8077, 8076, 8081, 8080, 8078, 8079, 8178, 8179, 8182, 8183, 8181, 8180, 8189, 8188, 8186, 8187, 8184, 8185, 8118, 8119, 8121, 8120, 8122, 8123, 8128, 8129, 8124, 8125, 8127, 8126, 8167, 8166, 8171, 8170, 8168, 8169, 2699, 2698, 2695, 2694, 2697, 2696, 2721, 2720, 2718, 2719, 2723, 2722, 2785, 2784, 2789, 2788, 2787, 2786, 2845, 2844, 2848, 2849, 2846, 2847, 2809, 2808, 2813, 2812, 2810, 2811, 2837, 2836, 2835, 2834, 2832, 2833, 2778, 2779, 2780, 2781, 2783, 2782, 2860, 2861, 2856, 2857, 2858, 2859, 2830, 2831, 2828, 2829, 2826, 2827, 2850, 2851, 2853, 2852, 2854, 2855, 2754, 2755, 2758, 2759, 2757, 2756, 2729, 2728, 2727, 2726, 2724, 2725, 2734, 2735, 2732, 2733, 2730, 2731, 2870, 2871, 2868, 2869, 2872, 2873, 2751, 2750, 2748, 2749, 2753, 2752, 2824, 2825, 2820, 2821, 2823, 2822, 2688, 2689, 2690, 2691, 2693, 2692, 2741, 2740, 2737, 2736, 2739, 2738, 2706, 2707, 2708, 2709, 2710, 2711, 2777, 2776, 2773, 2772, 2775, 2774, 2765, 2764, 2761, 2760, 2763, 2762, 2801, 2800, 2796, 2797, 2798, 2799, 2715, 2714, 2716, 2717, 2712, 2713, 2704, 2705, 2703, 2702, 2701, 2700, 2794, 2795, 2791, 2790, 2793, 2792, 2841, 2840, 2838, 2839, 2843, 2842, 2766, 2767, 2768, 2769, 2770, 2771, 2805, 2804, 2806, 2807, 2802, 2803, 2862, 2863, 2867, 2866, 2865, 2864, 2818, 2819, 2816, 2817, 2815, 2814, 2742, 2743, 2747, 2746, 2745, 2744, 2879, 2878, 2877, 2876, 2875, 2874, 7161, 7160, 7162, 7163, 7159, 7158, 7189, 7188, 7192, 7193, 7191, 7190, 7123, 7122, 7126, 7127, 7124, 7125, 7218, 7219, 7222, 7223, 7220, 7221, 7267, 7266, 7271, 7270, 7269, 7268, 7259, 7258, 7254, 7255, 7256, 7257, 7244, 7245, 7246, 7247, 7242, 7243, 7207, 7206, 7211, 7210, 7209, 7208, 7283, 7282, 7278, 7279, 7280, 7281, 7272, 7273, 7275, 7274, 7276, 7277, 7105, 7104, 7107, 7106, 7109, 7108, 7216, 7217, 7212, 7213, 7214, 7215, 7151, 7150, 7149, 7148, 7146, 7147, 7180, 7181, 7179, 7178, 7177, 7176, 7182, 7183, 7186, 7187, 7184, 7185, 7172, 7173, 7174, 7175, 7170, 7171, 7129, 7128, 7133, 7132, 7130, 7131, 7165, 7164, 7166, 7167, 7169, 7168, 7142, 7143, 7140, 7141, 7145, 7144, 7239, 7238, 7240, 7241, 7237, 7236, 7156, 7157, 7153, 7152, 7154, 7155, 7137, 7136] +private def clayworthS_fwd_c16 : Array (Fin 12096) := #[7139, 7138, 7135, 7134, 7196, 7197, 7194, 7195, 7199, 7198, 7263, 7262, 7260, 7261, 7265, 7264, 7203, 7202, 7205, 7204, 7201, 7200, 7110, 7111, 7115, 7114, 7112, 7113, 7225, 7224, 7228, 7229, 7227, 7226, 7284, 7285, 7287, 7286, 7289, 7288, 7121, 7120, 7119, 7118, 7117, 7116, 7232, 7233, 7231, 7230, 7234, 7235, 7248, 7249, 7252, 7253, 7251, 7250, 7294, 7295, 7293, 7292, 7290, 7291, 1733, 1732, 1728, 1729, 1731, 1730, 1754, 1755, 1753, 1752, 1757, 1756, 1804, 1805, 1803, 1802, 1800, 1801, 1843, 1842, 1847, 1846, 1845, 1844, 1881, 1880, 1882, 1883, 1878, 1879, 1874, 1875, 1876, 1877, 1873, 1872, 1825, 1824, 1827, 1826, 1828, 1829, 1909, 1908, 1913, 1912, 1910, 1911, 1840, 1841, 1837, 1836, 1839, 1838, 1760, 1761, 1763, 1762, 1758, 1759, 1919, 1918, 1915, 1914, 1917, 1916, 1893, 1892, 1895, 1894, 1890, 1891, 1888, 1889, 1887, 1886, 1885, 1884, 1768, 1769, 1766, 1767, 1764, 1765, 1787, 1786, 1782, 1783, 1784, 1785, 1831, 1830, 1832, 1833, 1835, 1834, 1747, 1746, 1750, 1751, 1748, 1749, 1780, 1781, 1779, 1778, 1777, 1776, 1823, 1822, 1819, 1818, 1820, 1821, 1795, 1794, 1797, 1796, 1799, 1798, 1770, 1771, 1772, 1773, 1775, 1774, 1853, 1852, 1851, 1850, 1849, 1848, 1745, 1744, 1743, 1742, 1740, 1741, 1813, 1812, 1816, 1817, 1814, 1815, 1808, 1809, 1806, 1807, 1811, 1810, 1871, 1870, 1866, 1867, 1869, 1868, 1857, 1856, 1859, 1858, 1855, 1854, 1899, 1898, 1896, 1897, 1901, 1900, 1735, 1734, 1736, 1737, 1738, 1739, 1863, 1862, 1861, 1860, 1864, 1865, 1789, 1788, 1792, 1793, 1790, 1791, 1905, 1904, 1903, 1902, 1906, 1907, 5265, 5264, 5262, 5263, 5267, 5266, 5281, 5280, 5285, 5284, 5283, 5282, 5329, 5328, 5333, 5332, 5331, 5330, 5274, 5275, 5276, 5277, 5278, 5279, 5356, 5357, 5355, 5354, 5352, 5353, 5187, 5186, 5184, 5185, 5189, 5188, 5374, 5375, 5371, 5370, 5372, 5373, 5261, 5260, 5257, 5256, 5258, 5259, 5215, 5214, 5216, 5217, 5219, 5218, 5224, 5225, 5223, 5222, 5220, 5221, 5368, 5369, 5364, 5365, 5366, 5367, 5243, 5242, 5238, 5239, 5241, 5240, 5341, 5340, 5343, 5342, 5344, 5345, 5339, 5338, 5336, 5337, 5335, 5334, 5245, 5244, 5249, 5248, 5247, 5246, 5190, 5191, 5192, 5193, 5194, 5195, 5209, 5208, 5213, 5212, 5210, 5211, 5309, 5308, 5306, 5307, 5304, 5305, 5302, 5303, 5298, 5299, 5301, 5300, 5206, 5207, 5205, 5204, 5202, 5203, 5292, 5293, 5297, 5296, 5294, 5295, 5350, 5351, 5346, 5347, 5348, 5349, 5327, 5326, 5324, 5325, 5322, 5323, 5268, 5269, 5270, 5271, 5273, 5272, 5310, 5311, 5314, 5315, 5312, 5313, 5359, 5358, 5361, 5360, 5363, 5362, 5197, 5196, 5200, 5201, 5199, 5198, 5226, 5227, 5231, 5230, 5228, 5229, 5316, 5317, 5320, 5321, 5318, 5319, 5254, 5255, 5250, 5251, 5252, 5253, 5237, 5236, 5232, 5233, 5235, 5234, 5286, 5287, 5291, 5290, 5289, 5288, 1371, 1370, 1369, 1368, 1373, 1372, 1419, 1418, 1416, 1417, 1420, 1421, 1351, 1350, 1352, 1353, 1354, 1355, 1441, 1440, 1444, 1445, 1443, 1442, 1519, 1518, 1522, 1523, 1520, 1521, 1499, 1498, 1494, 1495, 1497, 1496, 1463, 1462, 1458, 1459, 1460, 1461, 1481, 1480, 1476, 1477, 1478, 1479, 1411, 1410, 1413, 1412] +private def clayworthS_fwd_c17 : Array (Fin 12096) := #[1415, 1414, 1436, 1437, 1439, 1438, 1434, 1435, 1531, 1530, 1535, 1534, 1532, 1533, 1507, 1506, 1510, 1511, 1509, 1508, 1505, 1504, 1503, 1502, 1500, 1501, 1378, 1379, 1375, 1374, 1376, 1377, 1489, 1488, 1490, 1491, 1493, 1492, 1399, 1398, 1400, 1401, 1403, 1402, 1466, 1467, 1464, 1465, 1468, 1469, 1345, 1344, 1347, 1346, 1349, 1348, 1357, 1356, 1361, 1360, 1359, 1358, 1387, 1386, 1389, 1388, 1391, 1390, 1474, 1475, 1470, 1471, 1472, 1473, 1385, 1384, 1381, 1380, 1382, 1383, 1365, 1364, 1362, 1363, 1367, 1366, 1422, 1423, 1425, 1424, 1426, 1427, 1514, 1515, 1513, 1512, 1516, 1517, 1428, 1429, 1430, 1431, 1433, 1432, 1483, 1482, 1484, 1485, 1487, 1486, 1454, 1455, 1457, 1456, 1453, 1452, 1525, 1524, 1529, 1528, 1526, 1527, 1406, 1407, 1408, 1409, 1404, 1405, 1395, 1394, 1396, 1397, 1392, 1393, 1449, 1448, 1446, 1447, 1451, 1450, 6923, 6922, 6920, 6921, 6918, 6919, 6939, 6938, 6936, 6937, 6941, 6940, 7020, 7021, 7022, 7023, 7024, 7025, 7036, 7037, 7034, 7035, 7033, 7032, 7048, 7049, 7047, 7046, 7044, 7045, 7014, 7015, 7016, 7017, 7018, 7019, 7082, 7083, 7080, 7081, 7084, 7085, 7079, 7078, 7077, 7076, 7074, 7075, 7094, 7095, 7093, 7092, 7096, 7097, 7103, 7102, 7099, 7098, 7100, 7101, 7050, 7051, 7052, 7053, 7054, 7055, 7091, 7090, 7087, 7086, 7089, 7088, 7064, 7065, 7062, 7063, 7067, 7066, 6976, 6977, 6972, 6973, 6975, 6974, 7040, 7041, 7038, 7039, 7043, 7042, 6913, 6912, 6915, 6914, 6916, 6917, 6943, 6942, 6944, 6945, 6946, 6947, 6962, 6963, 6961, 6960, 6965, 6964, 6952, 6953, 6951, 6950, 6949, 6948, 7012, 7013, 7008, 7009, 7010, 7011, 6989, 6988, 6984, 6985, 6986, 6987, 6955, 6954, 6956, 6957, 6959, 6958, 6990, 6991, 6992, 6993, 6995, 6994, 7073, 7072, 7069, 7068, 7070, 7071, 7060, 7061, 7057, 7056, 7059, 7058, 7004, 7005, 7006, 7007, 7003, 7002, 6996, 6997, 6998, 6999, 7000, 7001, 6926, 6927, 6925, 6924, 6928, 6929, 6933, 6932, 6931, 6930, 6935, 6934, 6970, 6971, 6966, 6967, 6968, 6969, 6982, 6983, 6978, 6979, 6981, 6980, 7030, 7031, 7027, 7026, 7028, 7029, 10191, 10190, 10193, 10192, 10188, 10189, 10345, 10344, 10348, 10349, 10347, 10346, 10273, 10272, 10275, 10274, 10277, 10276, 10352, 10353, 10350, 10351, 10354, 10355, 10318, 10319, 10317, 10316, 10314, 10315, 10176, 10177, 10178, 10179, 10181, 10180, 10243, 10242, 10246, 10247, 10245, 10244, 10283, 10282, 10281, 10280, 10278, 10279, 10220, 10221, 10222, 10223, 10218, 10219, 10332, 10333, 10335, 10334, 10337, 10336, 10365, 10364, 10363, 10362, 10366, 10367, 10340, 10341, 10338, 10339, 10342, 10343, 10205, 10204, 10203, 10202, 10200, 10201, 10304, 10305, 10302, 10303, 10306, 10307, 10226, 10227, 10229, 10228, 10225, 10224, 10212, 10213, 10215, 10214, 10217, 10216, 10270, 10271, 10267, 10266, 10269, 10268, 10311, 10310, 10313, 10312, 10308, 10309, 10211, 10210, 10207, 10206, 10208, 10209, 10294, 10295, 10293, 10292, 10291, 10290, 10248, 10249, 10250, 10251, 10252, 10253, 10199, 10198, 10196, 10197, 10194, 10195, 10285, 10284, 10288, 10289, 10287, 10286, 10260, 10261, 10265, 10264, 10262, 10263, 10254, 10255, 10257, 10256, 10258, 10259, 10321, 10320, 10322, 10323, 10325, 10324, 10182, 10183, 10186, 10187, 10184, 10185, 10356, 10357, 10358, 10359, 10360, 10361] +private def clayworthS_fwd_c18 : Array (Fin 12096) := #[10299, 10298, 10301, 10300, 10297, 10296, 10234, 10235, 10230, 10231, 10232, 10233, 10326, 10327, 10330, 10331, 10329, 10328, 10237, 10236, 10238, 10239, 10241, 10240, 9419, 9418, 9414, 9415, 9416, 9417, 9444, 9445, 9447, 9446, 9449, 9448, 9485, 9484, 9480, 9481, 9482, 9483, 9432, 9433, 9435, 9434, 9436, 9437, 9499, 9498, 9500, 9501, 9503, 9502, 9569, 9568, 9565, 9564, 9567, 9566, 9553, 9552, 9555, 9554, 9556, 9557, 9538, 9539, 9534, 9535, 9536, 9537, 9570, 9571, 9572, 9573, 9574, 9575, 9528, 9529, 9532, 9533, 9530, 9531, 9409, 9408, 9413, 9412, 9411, 9410, 9592, 9593, 9588, 9589, 9590, 9591, 9472, 9473, 9468, 9469, 9471, 9470, 9453, 9452, 9454, 9455, 9450, 9451, 9595, 9594, 9599, 9598, 9596, 9597, 9460, 9461, 9457, 9456, 9458, 9459, 9547, 9546, 9549, 9548, 9550, 9551, 9576, 9577, 9580, 9581, 9578, 9579, 9562, 9563, 9559, 9558, 9561, 9560, 9518, 9519, 9516, 9517, 9520, 9521, 9492, 9493, 9497, 9496, 9494, 9495, 9438, 9439, 9442, 9443, 9440, 9441, 9478, 9479, 9474, 9475, 9476, 9477, 9526, 9527, 9522, 9523, 9525, 9524, 9487, 9486, 9488, 9489, 9490, 9491, 9509, 9508, 9505, 9504, 9506, 9507, 9424, 9425, 9423, 9422, 9420, 9421, 9510, 9511, 9514, 9515, 9513, 9512, 9429, 9428, 9427, 9426, 9431, 9430, 9542, 9543, 9545, 9544, 9541, 9540, 9583, 9582, 9587, 9586, 9584, 9585, 9467, 9466, 9463, 9462, 9465, 9464, 5725, 5724, 5729, 5728, 5727, 5726, 5705, 5704, 5702, 5703, 5701, 5700, 5692, 5693, 5689, 5688, 5690, 5691, 5570, 5571, 5568, 5569, 5572, 5573, 5750, 5751, 5748, 5749, 5752, 5753, 5641, 5640, 5645, 5644, 5642, 5643, 5755, 5754, 5757, 5756, 5759, 5758, 5707, 5706, 5710, 5711, 5709, 5708, 5623, 5622, 5627, 5626, 5625, 5624, 5712, 5713, 5716, 5717, 5714, 5715, 5632, 5633, 5628, 5629, 5630, 5631, 5687, 5686, 5683, 5682, 5685, 5684, 5575, 5574, 5576, 5577, 5578, 5579, 5619, 5618, 5621, 5620, 5617, 5616, 5658, 5659, 5661, 5660, 5663, 5662, 5611, 5610, 5615, 5614, 5613, 5612, 5600, 5601, 5599, 5598, 5602, 5603, 5649, 5648, 5650, 5651, 5647, 5646, 5604, 5605, 5608, 5609, 5606, 5607, 5597, 5596, 5592, 5593, 5594, 5595, 5589, 5588, 5590, 5591, 5586, 5587, 5670, 5671, 5674, 5675, 5673, 5672, 5721, 5720, 5718, 5719, 5722, 5723, 5654, 5655, 5652, 5653, 5657, 5656, 5694, 5695, 5699, 5698, 5697, 5696, 5731, 5730, 5732, 5733, 5735, 5734, 5581, 5580, 5582, 5583, 5585, 5584, 5676, 5677, 5678, 5679, 5680, 5681, 5738, 5739, 5737, 5736, 5741, 5740, 5636, 5637, 5638, 5639, 5634, 5635, 5665, 5664, 5667, 5666, 5668, 5669, 5747, 5746, 5745, 5744, 5742, 5743, 5376, 5377, 5378, 5379, 5381, 5380, 5426, 5427, 5428, 5429, 5425, 5424, 5468, 5469, 5466, 5467, 5471, 5470, 5399, 5398, 5395, 5394, 5397, 5396, 5542, 5543, 5538, 5539, 5541, 5540, 5392, 5393, 5388, 5389, 5390, 5391, 5484, 5485, 5486, 5487, 5488, 5489, 5546, 5547, 5548, 5549, 5544, 5545, 5459, 5458, 5457, 5456, 5454, 5455, 5554, 5555, 5550, 5551, 5552, 5553, 5445, 5444, 5442, 5443, 5447, 5446, 5529, 5528, 5531, 5530, 5526, 5527, 5525, 5524, 5523, 5522, 5520, 5521, 5422, 5423, 5421, 5420, 5419, 5418, 5432, 5433, 5435, 5434, 5430, 5431, 5402, 5403] +private def clayworthS_fwd_c19 : Array (Fin 12096) := #[5401, 5400, 5405, 5404, 5414, 5415, 5413, 5412, 5417, 5416, 5461, 5460, 5462, 5463, 5465, 5464, 5507, 5506, 5505, 5504, 5503, 5502, 5410, 5411, 5407, 5406, 5408, 5409, 5476, 5477, 5472, 5473, 5475, 5474, 5496, 5497, 5500, 5501, 5498, 5499, 5534, 5535, 5533, 5532, 5536, 5537, 5478, 5479, 5483, 5482, 5480, 5481, 5515, 5514, 5518, 5519, 5517, 5516, 5511, 5510, 5512, 5513, 5508, 5509, 5386, 5387, 5382, 5383, 5385, 5384, 5440, 5441, 5437, 5436, 5439, 5438, 5560, 5561, 5558, 5559, 5556, 5557, 5449, 5448, 5450, 5451, 5452, 5453, 5492, 5493, 5494, 5495, 5490, 5491, 5567, 5566, 5564, 5565, 5562, 5563, 8523, 8522, 8524, 8525, 8521, 8520, 8472, 8473, 8474, 8475, 8476, 8477, 8556, 8557, 8561, 8560, 8558, 8559, 8609, 8608, 8607, 8606, 8604, 8605, 8469, 8468, 8470, 8471, 8467, 8466, 8569, 8568, 8570, 8571, 8572, 8573, 8553, 8552, 8551, 8550, 8554, 8555, 8590, 8591, 8588, 8589, 8586, 8587, 8637, 8636, 8634, 8635, 8638, 8639, 8499, 8498, 8501, 8500, 8497, 8496, 8601, 8600, 8599, 8598, 8602, 8603, 8611, 8610, 8614, 8615, 8612, 8613, 8495, 8494, 8493, 8492, 8490, 8491, 8448, 8449, 8450, 8451, 8452, 8453, 8507, 8506, 8502, 8503, 8504, 8505, 8548, 8549, 8545, 8544, 8546, 8547, 8514, 8515, 8517, 8516, 8518, 8519, 8584, 8585, 8583, 8582, 8580, 8581, 8489, 8488, 8485, 8484, 8486, 8487, 8530, 8531, 8526, 8527, 8528, 8529, 8483, 8482, 8481, 8480, 8478, 8479, 8617, 8616, 8618, 8619, 8621, 8620, 8539, 8538, 8542, 8543, 8541, 8540, 8532, 8533, 8537, 8536, 8535, 8534, 8459, 8458, 8457, 8456, 8454, 8455, 8461, 8460, 8462, 8463, 8464, 8465, 8577, 8576, 8578, 8579, 8575, 8574, 8593, 8592, 8597, 8596, 8594, 8595, 8627, 8626, 8624, 8625, 8623, 8622, 8511, 8510, 8513, 8512, 8509, 8508, 8564, 8565, 8562, 8563, 8567, 8566, 8632, 8633, 8631, 8630, 8628, 8629, 592, 593, 590, 591, 588, 589, 606, 607, 608, 609, 611, 610, 659, 658, 654, 655, 657, 656, 718, 719, 716, 717, 714, 715, 602, 603, 605, 604, 600, 601, 674, 675, 677, 676, 672, 673, 644, 645, 642, 643, 646, 647, 730, 731, 727, 726, 729, 728, 695, 694, 691, 690, 693, 692, 576, 577, 578, 579, 581, 580, 759, 758, 756, 757, 760, 761, 653, 652, 651, 650, 648, 649, 623, 622, 621, 620, 619, 618, 762, 763, 767, 766, 764, 765, 738, 739, 742, 743, 741, 740, 629, 628, 626, 627, 625, 624, 705, 704, 703, 702, 707, 706, 683, 682, 679, 678, 680, 681, 582, 583, 585, 584, 587, 586, 638, 639, 640, 641, 636, 637, 635, 634, 630, 631, 633, 632, 614, 615, 617, 616, 612, 613, 685, 684, 687, 686, 688, 689, 671, 670, 668, 669, 666, 667, 660, 661, 662, 663, 665, 664, 722, 723, 724, 725, 720, 721, 713, 712, 708, 709, 710, 711, 696, 697, 701, 700, 699, 698, 732, 733, 736, 737, 734, 735, 597, 596, 595, 594, 598, 599, 748, 749, 745, 744, 746, 747, 755, 754, 751, 750, 753, 752, 7297, 7296, 7299, 7298, 7300, 7301, 7309, 7308, 7310, 7311, 7313, 7312, 7400, 7401, 7399, 7398] +private def clayworthS_fwd_c20 : Array (Fin 12096) := #[7402, 7403, 7474, 7475, 7471, 7470, 7472, 7473, 7459, 7458, 7461, 7460, 7463, 7462, 7303, 7302, 7305, 7304, 7306, 7307, 7417, 7416, 7421, 7420, 7418, 7419, 7436, 7437, 7439, 7438, 7435, 7434, 7380, 7381, 7382, 7383, 7385, 7384, 7476, 7477, 7479, 7478, 7481, 7480, 7364, 7365, 7363, 7362, 7366, 7367, 7394, 7395, 7393, 7392, 7397, 7396, 7330, 7331, 7329, 7328, 7327, 7326, 7447, 7446, 7448, 7449, 7451, 7450, 7487, 7486, 7484, 7485, 7483, 7482, 7349, 7348, 7345, 7344, 7347, 7346, 7466, 7467, 7468, 7469, 7464, 7465, 7336, 7337, 7335, 7334, 7333, 7332, 7440, 7441, 7443, 7442, 7445, 7444, 7350, 7351, 7354, 7355, 7353, 7352, 7386, 7387, 7388, 7389, 7390, 7391, 7370, 7371, 7369, 7368, 7372, 7373, 7430, 7431, 7432, 7433, 7429, 7428, 7343, 7342, 7338, 7339, 7340, 7341, 7414, 7415, 7413, 7412, 7411, 7410, 7323, 7322, 7321, 7320, 7325, 7324, 7319, 7318, 7317, 7316, 7314, 7315, 7452, 7453, 7456, 7457, 7455, 7454, 7378, 7379, 7374, 7375, 7377, 7376, 7426, 7427, 7424, 7425, 7422, 7423, 7358, 7359, 7360, 7361, 7357, 7356, 7406, 7407, 7408, 7409, 7405, 7404, 10953, 10952, 10955, 10954, 10951, 10950, 11033, 11032, 11029, 11028, 11030, 11031, 11107, 11106, 11110, 11111, 11108, 11109, 11095, 11094, 11099, 11098, 11097, 11096, 11080, 11081, 11079, 11078, 11077, 11076, 11113, 11112, 11114, 11115, 11117, 11116, 11131, 11130, 11134, 11135, 11133, 11132, 11022, 11023, 11024, 11025, 11027, 11026, 11062, 11063, 11059, 11058, 11060, 11061, 10988, 10989, 10991, 10990, 10986, 10987, 11118, 11119, 11123, 11122, 11121, 11120, 11014, 11015, 11013, 11012, 11011, 11010, 10996, 10997, 10995, 10994, 10993, 10992, 11091, 11090, 11089, 11088, 11093, 11092, 11016, 11017, 11020, 11021, 11019, 11018, 11073, 11072, 11071, 11070, 11075, 11074, 10944, 10945, 10946, 10947, 10949, 10948, 11052, 11053, 11055, 11054, 11057, 11056, 10983, 10982, 10981, 10980, 10985, 10984, 11051, 11050, 11047, 11046, 11048, 11049, 10998, 10999, 11003, 11002, 11001, 11000, 11069, 11068, 11066, 11067, 11065, 11064, 10977, 10976, 10974, 10975, 10979, 10978, 11035, 11034, 11037, 11036, 11039, 11038, 10971, 10970, 10973, 10972, 10968, 10969, 11102, 11103, 11100, 11101, 11104, 11105, 11040, 11041, 11045, 11044, 11043, 11042, 10956, 10957, 10960, 10961, 10958, 10959, 10962, 10963, 10966, 10967, 10965, 10964, 11004, 11005, 11009, 11008, 11007, 11006, 11084, 11085, 11083, 11082, 11086, 11087, 11127, 11126, 11125, 11124, 11129, 11128, 778, 779, 775, 774, 777, 776, 792, 793, 795, 794, 796, 797, 863, 862, 858, 859, 861, 860, 930, 931, 933, 932, 935, 934, 916, 917, 913, 912, 914, 915, 789, 788, 787, 786, 791, 790, 892, 893, 891, 890, 888, 889, 937, 936, 939, 938, 941, 940, 769, 768, 771, 770, 772, 773, 958, 959, 954, 955, 957, 956, 820, 821, 817, 816, 818, 819, 926, 927, 929, 928, 925, 924, 920, 921, 922, 923, 918, 919, 900, 901, 903, 902, 905, 904, 824, 825, 823, 822, 826, 827, 878, 879, 876, 877, 880, 881, 808, 809, 804, 805, 806, 807, 856, 857, 852, 853, 854, 855, 831, 830, 832, 833, 829, 828, 875, 874, 871, 870, 873, 872, 801, 800, 798, 799, 802, 803, 835, 834, 837, 836, 838, 839] +private def clayworthS_fwd_c21 : Array (Fin 12096) := #[865, 864, 867, 866, 869, 868, 909, 908, 907, 906, 911, 910, 847, 846, 851, 850, 848, 849, 843, 842, 840, 841, 844, 845, 883, 882, 886, 887, 884, 885, 782, 783, 781, 780, 785, 784, 942, 943, 945, 944, 946, 947, 897, 896, 895, 894, 899, 898, 953, 952, 950, 951, 948, 949, 815, 814, 810, 811, 812, 813, 7717, 7716, 7719, 7718, 7720, 7721, 7701, 7700, 7703, 7702, 7698, 7699, 7790, 7791, 7789, 7788, 7793, 7792, 7694, 7695, 7692, 7693, 7697, 7696, 7828, 7829, 7827, 7826, 7824, 7825, 7777, 7776, 7781, 7780, 7779, 7778, 7859, 7858, 7854, 7855, 7857, 7856, 7680, 7681, 7684, 7685, 7682, 7683, 7724, 7725, 7726, 7727, 7722, 7723, 7870, 7871, 7867, 7866, 7868, 7869, 7742, 7743, 7744, 7745, 7740, 7741, 7838, 7839, 7837, 7836, 7841, 7840, 7753, 7752, 7756, 7757, 7754, 7755, 7843, 7842, 7844, 7845, 7846, 7847, 7732, 7733, 7730, 7731, 7729, 7728, 7810, 7811, 7807, 7806, 7808, 7809, 7687, 7686, 7688, 7689, 7691, 7690, 7783, 7782, 7785, 7784, 7787, 7786, 7712, 7713, 7710, 7711, 7714, 7715, 7774, 7775, 7770, 7771, 7772, 7773, 7816, 7817, 7814, 7815, 7813, 7812, 7739, 7738, 7734, 7735, 7736, 7737, 7798, 7799, 7797, 7796, 7794, 7795, 7707, 7706, 7709, 7708, 7704, 7705, 7849, 7848, 7851, 7850, 7853, 7852, 7766, 7767, 7764, 7765, 7768, 7769, 7823, 7822, 7818, 7819, 7821, 7820, 7802, 7803, 7804, 7805, 7800, 7801, 7749, 7748, 7750, 7751, 7747, 7746, 7830, 7831, 7834, 7835, 7832, 7833, 7760, 7761, 7762, 7763, 7758, 7759, 7864, 7865, 7862, 7863, 7860, 7861, 3653, 3652, 3649, 3648, 3650, 3651, 3672, 3673, 3677, 3676, 3674, 3675, 3679, 3678, 3683, 3682, 3681, 3680, 3719, 3718, 3716, 3717, 3715, 3714, 3761, 3760, 3759, 3758, 3756, 3757, 3657, 3656, 3655, 3654, 3659, 3658, 3738, 3739, 3741, 3740, 3743, 3742, 3790, 3791, 3788, 3789, 3786, 3787, 3820, 3821, 3816, 3817, 3818, 3819, 3836, 3837, 3838, 3839, 3834, 3835, 3755, 3754, 3751, 3750, 3752, 3753, 3694, 3695, 3692, 3693, 3691, 3690, 3830, 3831, 3828, 3829, 3832, 3833, 3696, 3697, 3700, 3701, 3698, 3699, 3809, 3808, 3804, 3805, 3807, 3806, 3802, 3803, 3801, 3800, 3799, 3798, 3792, 3793, 3795, 3794, 3796, 3797, 3776, 3777, 3774, 3775, 3778, 3779, 3746, 3747, 3745, 3744, 3748, 3749, 3687, 3686, 3684, 3685, 3689, 3688, 3669, 3668, 3667, 3666, 3670, 3671, 3737, 3736, 3733, 3732, 3734, 3735, 3709, 3708, 3711, 3710, 3713, 3712, 3785, 3784, 3780, 3781, 3782, 3783, 3662, 3663, 3661, 3660, 3664, 3665, 3720, 3721, 3722, 3723, 3725, 3724, 3762, 3763, 3764, 3765, 3766, 3767, 3812, 3813, 3810, 3811, 3814, 3815, 3727, 3726, 3728, 3729, 3731, 3730, 3825, 3824, 3822, 3823, 3827, 3826, 3773, 3772, 3771, 3770, 3768, 3769, 3707, 3706, 3702, 3703, 3704, 3705, 8845, 8844, 8847, 8846, 8848, 8849, 8866, 8867, 8863, 8862, 8865, 8864, 8900, 8901, 8902, 8903, 8898, 8899, 8839, 8838, 8841, 8840, 8843, 8842, 8987, 8986, 8982, 8983, 8985, 8984, 8935, 8934, 8939, 8938, 8936, 8937, 8968, 8969, 8964, 8965, 8967, 8966, 9006, 9007, 9008, 9009, 9011, 9010, 8957, 8956, 8955, 8954, 8952, 8953, 9005, 9004] +private def clayworthS_fwd_c22 : Array (Fin 12096) := #[9002, 9003, 9000, 9001, 8852, 8853, 8855, 8854, 8851, 8850, 8871, 8870, 8872, 8873, 8869, 8868, 8970, 8971, 8972, 8973, 8974, 8975, 8884, 8885, 8880, 8881, 8883, 8882, 8993, 8992, 8990, 8991, 8989, 8988, 8861, 8860, 8858, 8859, 8857, 8856, 8886, 8887, 8890, 8891, 8888, 8889, 8948, 8949, 8946, 8947, 8950, 8951, 8878, 8879, 8876, 8877, 8874, 8875, 8917, 8916, 8919, 8918, 8921, 8920, 8915, 8914, 8910, 8911, 8913, 8912, 8932, 8933, 8930, 8931, 8929, 8928, 8904, 8905, 8906, 8907, 8908, 8909, 8997, 8996, 8994, 8995, 8998, 8999, 8978, 8979, 8977, 8976, 8981, 8980, 8963, 8962, 8958, 8959, 8961, 8960, 9017, 9016, 9012, 9013, 9014, 9015, 8837, 8836, 8835, 8834, 8833, 8832, 8942, 8943, 8944, 8945, 8940, 8941, 9019, 9018, 9022, 9023, 9021, 9020, 8892, 8893, 8894, 8895, 8897, 8896, 8923, 8922, 8926, 8927, 8925, 8924, 11359, 11358, 11361, 11360, 11363, 11362, 11381, 11380, 11379, 11378, 11376, 11377, 11416, 11417, 11412, 11413, 11415, 11414, 11459, 11458, 11454, 11455, 11457, 11456, 11433, 11432, 11430, 11431, 11434, 11435, 11497, 11496, 11499, 11498, 11500, 11501, 11442, 11443, 11446, 11447, 11444, 11445, 11494, 11495, 11490, 11491, 11492, 11493, 11404, 11405, 11401, 11400, 11402, 11403, 11438, 11439, 11440, 11441, 11437, 11436, 11368, 11369, 11366, 11367, 11364, 11365, 11515, 11514, 11516, 11517, 11519, 11518, 11473, 11472, 11474, 11475, 11477, 11476, 11508, 11509, 11512, 11513, 11511, 11510, 11484, 11485, 11488, 11489, 11487, 11486, 11375, 11374, 11372, 11373, 11370, 11371, 11469, 11468, 11467, 11466, 11471, 11470, 11328, 11329, 11331, 11330, 11333, 11332, 11384, 11385, 11386, 11387, 11383, 11382, 11355, 11354, 11356, 11357, 11352, 11353, 11406, 11407, 11409, 11408, 11411, 11410, 11349, 11348, 11347, 11346, 11350, 11351, 11481, 11480, 11478, 11479, 11483, 11482, 11425, 11424, 11429, 11428, 11426, 11427, 11420, 11421, 11418, 11419, 11422, 11423, 11452, 11453, 11449, 11448, 11451, 11450, 11334, 11335, 11339, 11338, 11336, 11337, 11505, 11504, 11507, 11506, 11503, 11502, 11344, 11345, 11341, 11340, 11342, 11343, 11460, 11461, 11463, 11462, 11465, 11464, 11394, 11395, 11397, 11396, 11399, 11398, 11393, 11392, 11391, 11390, 11388, 11389, 4440, 4441, 4442, 4443, 4444, 4445, 4467, 4466, 4468, 4469, 4465, 4464, 4432, 4433, 4428, 4429, 4430, 4431, 4518, 4519, 4523, 4522, 4521, 4520, 4541, 4540, 4536, 4537, 4539, 4538, 4488, 4489, 4490, 4491, 4492, 4493, 4580, 4581, 4582, 4583, 4578, 4579, 4530, 4531, 4534, 4535, 4533, 4532, 4417, 4416, 4421, 4420, 4419, 4418, 4503, 4502, 4500, 4501, 4504, 4505, 4603, 4602, 4604, 4605, 4606, 4607, 4586, 4587, 4584, 4585, 4589, 4588, 4452, 4453, 4455, 4454, 4457, 4456, 4567, 4566, 4571, 4570, 4568, 4569, 4564, 4565, 4562, 4563, 4560, 4561, 4550, 4551, 4552, 4553, 4548, 4549, 4459, 4458, 4460, 4461, 4463, 4462, 4422, 4423, 4424, 4425, 4426, 4427, 4495, 4494, 4496, 4497, 4498, 4499, 4474, 4475, 4470, 4471, 4472, 4473, 4438, 4439, 4436, 4437, 4434, 4435, 4507, 4506, 4508, 4509, 4510, 4511, 4577, 4576, 4573, 4572, 4574, 4575, 4557, 4556, 4555, 4554, 4559, 4558, 4484, 4485, 4482, 4483, 4486, 4487, 4476, 4477, 4478, 4479, 4481, 4480, 4514, 4515, 4517, 4516, 4512, 4513, 4528, 4529, 4526, 4527, 4524, 4525, 4450, 4451, 4447, 4446] +private def clayworthS_fwd_c23 : Array (Fin 12096) := #[4448, 4449, 4542, 4543, 4544, 4545, 4547, 4546, 4590, 4591, 4595, 4594, 4593, 4592, 4600, 4601, 4599, 4598, 4596, 4597, 3857, 3856, 3852, 3853, 3854, 3855, 3876, 3877, 3879, 3878, 3881, 3880, 3892, 3893, 3891, 3890, 3889, 3888, 3920, 3921, 3918, 3919, 3922, 3923, 3949, 3948, 3953, 3952, 3951, 3950, 3996, 3997, 3999, 3998, 4001, 4000, 3866, 3867, 3864, 3865, 3868, 3869, 3976, 3977, 3974, 3975, 3972, 3973, 3936, 3937, 3939, 3938, 3941, 3940, 4005, 4004, 4002, 4003, 4007, 4006, 3841, 3840, 3843, 3842, 3845, 3844, 3916, 3917, 3912, 3913, 3914, 3915, 3945, 3944, 3946, 3947, 3942, 3943, 4030, 4031, 4026, 4027, 4028, 4029, 3899, 3898, 3896, 3897, 3894, 3895, 3986, 3987, 3984, 3985, 3988, 3989, 4013, 4012, 4009, 4008, 4011, 4010, 3993, 3992, 3994, 3995, 3991, 3990, 3978, 3979, 3981, 3980, 3982, 3983, 3907, 3906, 3909, 3908, 3911, 3910, 3846, 3847, 3849, 3848, 3850, 3851, 3905, 3904, 3900, 3901, 3902, 3903, 3935, 3934, 3930, 3931, 3933, 3932, 3964, 3965, 3960, 3961, 3963, 3962, 3883, 3882, 3886, 3887, 3885, 3884, 3928, 3929, 3925, 3924, 3927, 3926, 3874, 3875, 3873, 3872, 3870, 3871, 3967, 3966, 3969, 3968, 3971, 3970, 3860, 3861, 3862, 3863, 3859, 3858, 4014, 4015, 4019, 4018, 4017, 4016, 3954, 3955, 3958, 3959, 3956, 3957, 4025, 4024, 4022, 4023, 4020, 4021, 6731, 6730, 6727, 6726, 6729, 6728, 6764, 6765, 6766, 6767, 6763, 6762, 6807, 6806, 6805, 6804, 6809, 6808, 6834, 6835, 6838, 6839, 6836, 6837, 6733, 6732, 6735, 6734, 6736, 6737, 6855, 6854, 6857, 6856, 6852, 6853, 6880, 6881, 6879, 6878, 6877, 6876, 6900, 6901, 6902, 6903, 6905, 6904, 6908, 6909, 6906, 6907, 6911, 6910, 6803, 6802, 6801, 6800, 6798, 6799, 6753, 6752, 6755, 6754, 6751, 6750, 6888, 6889, 6890, 6891, 6892, 6893, 6788, 6789, 6787, 6786, 6791, 6790, 6898, 6899, 6896, 6897, 6894, 6895, 6758, 6759, 6760, 6761, 6756, 6757, 6797, 6796, 6793, 6792, 6795, 6794, 6860, 6861, 6859, 6858, 6862, 6863, 6721, 6720, 6723, 6722, 6724, 6725, 6778, 6779, 6777, 6776, 6775, 6774, 6829, 6828, 6831, 6830, 6832, 6833, 6770, 6771, 6768, 6769, 6773, 6772, 6746, 6747, 6745, 6744, 6749, 6748, 6869, 6868, 6866, 6867, 6865, 6864, 6811, 6810, 6812, 6813, 6815, 6814, 6742, 6743, 6741, 6740, 6739, 6738, 6841, 6840, 6844, 6845, 6842, 6843, 6824, 6825, 6823, 6822, 6827, 6826, 6820, 6821, 6816, 6817, 6818, 6819, 6870, 6871, 6874, 6875, 6873, 6872, 6849, 6848, 6850, 6851, 6846, 6847, 6885, 6884, 6887, 6886, 6882, 6883, 6782, 6783, 6784, 6785, 6780, 6781, 11536, 11537, 11533, 11532, 11534, 11535, 11568, 11569, 11571, 11570, 11573, 11572, 11585, 11584, 11583, 11582, 11581, 11580, 11623, 11622, 11627, 11626, 11625, 11624, 11550, 11551, 11555, 11554, 11552, 11553, 11693, 11692, 11688, 11689, 11691, 11690, 11686, 11687, 11685, 11684, 11682, 11683, 11545, 11544, 11546, 11547, 11549, 11548, 11659, 11658, 11661, 11660, 11662, 11663, 11643, 11642, 11640, 11641, 11644, 11645, 11674, 11675, 11671, 11670, 11672, 11673, 11521, 11520, 11524, 11525, 11523, 11522, 11702, 11703, 11704, 11705, 11701, 11700, 11707, 11706, 11708, 11709, 11710, 11711, 11589, 11588, 11590, 11591, 11587, 11586, 11697, 11696, 11695, 11694, 11699, 11698] +private def clayworthS_fwd_c24 : Array (Fin 12096) := #[11604, 11605, 11608, 11609, 11606, 11607, 11611, 11610, 11613, 11612, 11615, 11614, 11526, 11527, 11528, 11529, 11530, 11531, 11596, 11597, 11593, 11592, 11594, 11595, 11646, 11647, 11648, 11649, 11650, 11651, 11559, 11558, 11556, 11557, 11561, 11560, 11565, 11564, 11563, 11562, 11566, 11567, 11577, 11576, 11575, 11574, 11579, 11578, 11656, 11657, 11652, 11653, 11655, 11654, 11636, 11637, 11635, 11634, 11639, 11638, 11630, 11631, 11628, 11629, 11633, 11632, 11678, 11679, 11676, 11677, 11681, 11680, 11543, 11542, 11541, 11540, 11539, 11538, 11668, 11669, 11666, 11667, 11664, 11665, 11618, 11619, 11620, 11621, 11617, 11616, 11598, 11599, 11602, 11603, 11601, 11600] + +private def clayworthS_fwd : Array (Fin 12096) := + clayworthS_fwd_c0 ++ clayworthS_fwd_c1 ++ clayworthS_fwd_c2 ++ clayworthS_fwd_c3 ++ clayworthS_fwd_c4 ++ clayworthS_fwd_c5 ++ clayworthS_fwd_c6 ++ clayworthS_fwd_c7 ++ clayworthS_fwd_c8 ++ clayworthS_fwd_c9 ++ clayworthS_fwd_c10 ++ clayworthS_fwd_c11 ++ clayworthS_fwd_c12 ++ clayworthS_fwd_c13 ++ clayworthS_fwd_c14 ++ clayworthS_fwd_c15 ++ clayworthS_fwd_c16 ++ clayworthS_fwd_c17 ++ clayworthS_fwd_c18 ++ clayworthS_fwd_c19 ++ clayworthS_fwd_c20 ++ clayworthS_fwd_c21 ++ clayworthS_fwd_c22 ++ clayworthS_fwd_c23 ++ clayworthS_fwd_c24 + +private def clayworthS_inv_c0 : Array (Fin 12096) := #[2964, 2965, 2966, 2967, 2969, 2968, 3036, 3037, 3040, 3041, 3039, 3038, 3047, 3046, 3043, 3042, 3044, 3045, 2888, 2889, 2887, 2886, 2891, 2890, 2982, 2983, 2987, 2986, 2985, 2984, 2927, 2926, 2923, 2922, 2924, 2925, 2988, 2989, 2991, 2990, 2993, 2992, 2937, 2936, 2938, 2939, 2935, 2934, 2974, 2975, 2971, 2970, 2972, 2973, 3063, 3062, 3065, 3064, 3061, 3060, 2940, 2941, 2942, 2943, 2944, 2945, 3059, 3058, 3055, 3054, 3057, 3056, 2910, 2911, 2914, 2915, 2912, 2913, 3015, 3014, 3013, 3012, 3016, 3017, 3032, 3033, 3030, 3031, 3034, 3035, 2997, 2996, 2999, 2998, 2994, 2995, 2976, 2977, 2979, 2978, 2980, 2981, 2919, 2918, 2921, 2920, 2917, 2916, 3009, 3008, 3011, 3010, 3007, 3006, 3048, 3049, 3050, 3051, 3052, 3053, 3001, 3000, 3003, 3002, 3004, 3005, 2897, 2896, 2895, 2894, 2892, 2893, 2958, 2959, 2960, 2961, 2962, 2963, 3029, 3028, 3027, 3026, 3025, 3024, 2956, 2957, 2953, 2952, 2954, 2955, 2946, 2947, 2948, 2949, 2951, 2950, 3023, 3022, 3018, 3019, 3020, 3021, 2880, 2881, 2884, 2885, 2882, 2883, 2901, 2900, 2903, 2902, 2898, 2899, 3071, 3070, 3069, 3068, 3066, 3067, 2906, 2907, 2908, 2909, 2904, 2905, 2931, 2930, 2933, 2932, 2929, 2928, 5985, 5984, 5982, 5983, 5986, 5987, 6097, 6096, 6100, 6101, 6099, 6098, 6077, 6076, 6075, 6074, 6073, 6072, 6030, 6031, 6033, 6032, 6035, 6034, 6038, 6039, 6036, 6037, 6041, 6040, 5993, 5992, 5990, 5991, 5989, 5988, 6016, 6017, 6015, 6014, 6012, 6013, 6060, 6061, 6065, 6064, 6062, 6063, 6130, 6131, 6127, 6126, 6128, 6129, 6007, 6006, 6011, 6010, 6009, 6008, 6124, 6125, 6120, 6121, 6122, 6123, 6051, 6050, 6048, 6049, 6053, 6052, 5957, 5956, 5952, 5953, 5954, 5955, 6068, 6069, 6070, 6071, 6066, 6067, 6086, 6087, 6084, 6085, 6089, 6088, 6044, 6045, 6047, 6046, 6043, 6042, 6024, 6025, 6026, 6027, 6028, 6029, 5958, 5959, 5963, 5962, 5960, 5961, 6133, 6132, 6136, 6137, 6135, 6134, 6079, 6078, 6081, 6080, 6082, 6083, 5964, 5965, 5968, 5969, 5966, 5967, 6112, 6113, 6111, 6110, 6109, 6108, 6057, 6056, 6059, 6058, 6055, 6054, 6090, 6091, 6094, 6095, 6092, 6093, 6021, 6020, 6019, 6018, 6022, 6023, 5981, 5980, 5979, 5978, 5977, 5976, 5972, 5973, 5974, 5975, 5970, 5971, 6102, 6103, 6106, 6107, 6105, 6104, 6005, 6004, 6003, 6002, 6001, 6000, 6117, 6116, 6115, 6114, 6118, 6119, 6142, 6143, 6140, 6141, 6138, 6139, 5996, 5997, 5998, 5999, 5994, 5995, 148, 149, 146, 147, 144, 145, 164, 165, 163, 162, 167, 166, 24, 25, 27, 26, 29, 28, 14, 15, 12, 13, 17, 16, 123, 122, 124, 125, 121, 120, 2, 3, 0, 1, 5, 4, 82, 83, 79, 78, 80, 81, 117, 116, 115, 114, 119, 118, 65, 64, 61, 60, 62, 63, 99, 98, 101, 100, 97, 96, 171, 170, 172, 173, 169, 168, 178, 179, 177, 176, 174, 175, 74, 75, 76, 77, 72, 73, 84, 85, 86, 87, 88, 89, 47, 46, 44, 45, 43, 42, 9, 8, 10, 11, 6, 7, 138, 139, 143, 142, 140, 141, 110, 111, 112, 113, 108, 109, 105, 104, 102, 103, 107, 106, 50, 51] +private def clayworthS_inv_c1 : Array (Fin 12096) := #[52, 53, 49, 48, 21, 20, 22, 23, 18, 19, 185, 184, 181, 180, 183, 182, 128, 129, 131, 130, 126, 127, 151, 150, 153, 152, 154, 155, 92, 93, 94, 95, 90, 91, 135, 134, 132, 133, 136, 137, 35, 34, 30, 31, 32, 33, 159, 158, 157, 156, 161, 160, 68, 69, 70, 71, 67, 66, 191, 190, 188, 189, 186, 187, 36, 37, 40, 41, 39, 38, 56, 57, 58, 59, 54, 55, 9846, 9847, 9848, 9849, 9851, 9850, 9900, 9901, 9903, 9902, 9905, 9904, 9796, 9797, 9794, 9795, 9792, 9793, 9969, 9968, 9967, 9966, 9970, 9971, 9820, 9821, 9816, 9817, 9819, 9818, 9798, 9799, 9800, 9801, 9803, 9802, 9922, 9923, 9918, 9919, 9921, 9920, 9869, 9868, 9867, 9866, 9865, 9864, 9887, 9886, 9884, 9885, 9883, 9882, 9914, 9915, 9917, 9916, 9913, 9912, 9910, 9911, 9906, 9907, 9908, 9909, 9830, 9831, 9828, 9829, 9832, 9833, 9862, 9863, 9861, 9860, 9859, 9858, 9806, 9807, 9809, 9808, 9805, 9804, 9936, 9937, 9938, 9939, 9941, 9940, 9934, 9935, 9932, 9933, 9931, 9930, 9826, 9827, 9822, 9823, 9825, 9824, 9897, 9896, 9898, 9899, 9895, 9894, 9925, 9924, 9927, 9926, 9928, 9929, 9843, 9842, 9845, 9844, 9841, 9840, 9954, 9955, 9959, 9958, 9957, 9956, 9891, 9890, 9889, 9888, 9893, 9892, 9950, 9951, 9952, 9953, 9949, 9948, 9814, 9815, 9812, 9813, 9810, 9811, 9946, 9947, 9942, 9943, 9944, 9945, 9837, 9836, 9839, 9838, 9834, 9835, 9960, 9961, 9964, 9965, 9962, 9963, 9876, 9877, 9881, 9880, 9878, 9879, 9975, 9974, 9976, 9977, 9972, 9973, 9981, 9980, 9983, 9982, 9979, 9978, 9854, 9855, 9853, 9852, 9856, 9857, 9870, 9871, 9874, 9875, 9873, 9872, 10417, 10416, 10419, 10418, 10420, 10421, 10371, 10370, 10373, 10372, 10368, 10369, 10533, 10532, 10530, 10531, 10535, 10534, 10401, 10400, 10399, 10398, 10403, 10402, 10374, 10375, 10377, 10376, 10378, 10379, 10490, 10491, 10489, 10488, 10492, 10493, 10466, 10467, 10468, 10469, 10464, 10465, 10556, 10557, 10558, 10559, 10555, 10554, 10431, 10430, 10432, 10433, 10428, 10429, 10455, 10454, 10452, 10453, 10456, 10457, 10481, 10480, 10477, 10476, 10478, 10479, 10495, 10494, 10497, 10496, 10498, 10499, 10520, 10521, 10519, 10518, 10522, 10523, 10513, 10512, 10516, 10517, 10515, 10514, 10472, 10473, 10474, 10475, 10470, 10471, 10382, 10383, 10385, 10384, 10381, 10380, 10501, 10500, 10503, 10502, 10505, 10504, 10485, 10484, 10487, 10486, 10483, 10482, 10460, 10461, 10458, 10459, 10462, 10463, 10525, 10524, 10528, 10529, 10526, 10527, 10408, 10409, 10407, 10406, 10404, 10405, 10545, 10544, 10543, 10542, 10547, 10546, 10446, 10447, 10449, 10448, 10451, 10450, 10509, 10508, 10507, 10506, 10511, 10510, 10395, 10394, 10396, 10397, 10392, 10393, 10444, 10445, 10440, 10441, 10442, 10443, 10439, 10438, 10434, 10435, 10437, 10436, 10386, 10387, 10389, 10388, 10391, 10390, 10411, 10410, 10413, 10412, 10415, 10414, 10536, 10537, 10539, 10538, 10540, 10541, 10552, 10553, 10550, 10551, 10549, 10548, 10424, 10425, 10427, 10426, 10422, 10423, 1597, 1596, 1598, 1599, 1601, 1600, 1537, 1536, 1539, 1538, 1540, 1541, 1683, 1682, 1680, 1681, 1684, 1685, 1697, 1696, 1693, 1692, 1695, 1694, 1653, 1652, 1650, 1651, 1655, 1654, 1542, 1543, 1544, 1545, 1546, 1547, 1637, 1636, 1633, 1632] +private def clayworthS_inv_c2 : Array (Fin 12096) := #[1635, 1634, 1705, 1704, 1707, 1706, 1709, 1708, 1714, 1715, 1710, 1711, 1712, 1713, 1616, 1617, 1615, 1614, 1619, 1618, 1611, 1610, 1609, 1608, 1613, 1612, 1670, 1671, 1672, 1673, 1668, 1669, 1658, 1659, 1661, 1660, 1656, 1657, 1575, 1574, 1573, 1572, 1577, 1576, 1716, 1717, 1721, 1720, 1719, 1718, 1687, 1686, 1688, 1689, 1691, 1690, 1561, 1560, 1563, 1562, 1565, 1564, 1703, 1702, 1698, 1699, 1700, 1701, 1647, 1646, 1649, 1648, 1645, 1644, 1665, 1664, 1666, 1667, 1663, 1662, 1589, 1588, 1586, 1587, 1584, 1585, 1677, 1676, 1675, 1674, 1678, 1679, 1571, 1570, 1569, 1568, 1566, 1567, 1638, 1639, 1641, 1640, 1643, 1642, 1556, 1557, 1555, 1554, 1559, 1558, 1630, 1631, 1626, 1627, 1628, 1629, 1622, 1623, 1624, 1625, 1621, 1620, 1548, 1549, 1551, 1550, 1553, 1552, 1593, 1592, 1590, 1591, 1595, 1594, 1582, 1583, 1578, 1579, 1581, 1580, 1724, 1725, 1727, 1726, 1723, 1722, 1605, 1604, 1603, 1602, 1607, 1606, 770, 771, 773, 772, 768, 769, 922, 923, 920, 921, 919, 918, 931, 930, 934, 935, 932, 933, 883, 882, 886, 887, 884, 885, 859, 858, 863, 862, 860, 861, 869, 868, 866, 867, 864, 865, 838, 839, 837, 836, 834, 835, 778, 779, 775, 774, 777, 776, 820, 821, 816, 817, 818, 819, 847, 846, 849, 848, 851, 850, 952, 953, 948, 949, 950, 951, 780, 781, 784, 785, 783, 782, 909, 908, 907, 906, 911, 910, 873, 872, 875, 874, 870, 871, 808, 809, 805, 804, 806, 807, 787, 786, 788, 789, 791, 790, 888, 889, 891, 890, 893, 892, 881, 880, 878, 879, 876, 877, 925, 924, 927, 926, 928, 929, 799, 798, 802, 803, 801, 800, 941, 940, 937, 936, 938, 939, 855, 854, 857, 856, 853, 852, 912, 913, 914, 915, 916, 917, 947, 946, 943, 942, 945, 944, 845, 844, 841, 840, 842, 843, 825, 824, 822, 823, 827, 826, 902, 903, 905, 904, 900, 901, 832, 833, 828, 829, 831, 830, 897, 896, 895, 894, 898, 899, 795, 794, 797, 796, 793, 792, 956, 957, 959, 958, 954, 955, 812, 813, 814, 815, 811, 810, 8551, 8550, 8553, 8552, 8555, 8554, 8461, 8460, 8462, 8463, 8464, 8465, 8557, 8556, 8561, 8560, 8559, 8558, 8582, 8583, 8581, 8580, 8585, 8584, 8451, 8450, 8449, 8448, 8453, 8452, 8529, 8528, 8530, 8531, 8526, 8527, 8577, 8576, 8578, 8579, 8575, 8574, 8563, 8562, 8565, 8564, 8567, 8566, 8632, 8633, 8629, 8628, 8630, 8631, 8539, 8538, 8540, 8541, 8543, 8542, 8626, 8627, 8622, 8623, 8624, 8625, 8497, 8496, 8499, 8498, 8501, 8500, 8456, 8457, 8455, 8454, 8458, 8459, 8586, 8587, 8589, 8588, 8590, 8591, 8598, 8599, 8600, 8601, 8603, 8602, 8506, 8507, 8502, 8503, 8505, 8504, 8467, 8466, 8471, 8470, 8468, 8469, 8636, 8637, 8635, 8634, 8639, 8638, 8615, 8614, 8610, 8611, 8613, 8612, 8486, 8487, 8488, 8489, 8485, 8484, 8546, 8547, 8544, 8545, 8548, 8549, 8570, 8571, 8572, 8573, 8568, 8569, 8492, 8493, 8494, 8495, 8491, 8490, 8605, 8604, 8606, 8607, 8609, 8608, 8533, 8532, 8534, 8535, 8537, 8536, 8480, 8481, 8483, 8482, 8479, 8478] +private def clayworthS_inv_c3 : Array (Fin 12096) := #[8524, 8525, 8523, 8522, 8521, 8520, 8515, 8514, 8519, 8518, 8516, 8517, 8595, 8594, 8592, 8593, 8596, 8597, 8473, 8472, 8476, 8477, 8474, 8475, 8617, 8616, 8620, 8621, 8619, 8618, 8509, 8508, 8512, 8513, 8511, 8510, 6583, 6582, 6587, 6586, 6584, 6585, 6637, 6636, 6639, 6638, 6640, 6641, 6547, 6546, 6550, 6551, 6549, 6548, 6695, 6694, 6691, 6690, 6693, 6692, 6682, 6683, 6678, 6679, 6681, 6680, 6652, 6653, 6651, 6650, 6649, 6648, 6531, 6530, 6528, 6529, 6533, 6532, 6605, 6604, 6601, 6600, 6603, 6602, 6635, 6634, 6633, 6632, 6630, 6631, 6666, 6667, 6668, 6669, 6670, 6671, 6539, 6538, 6536, 6537, 6534, 6535, 6643, 6642, 6645, 6644, 6647, 6646, 6616, 6617, 6614, 6615, 6612, 6613, 6597, 6596, 6598, 6599, 6595, 6594, 6662, 6663, 6660, 6661, 6664, 6665, 6543, 6542, 6540, 6541, 6545, 6544, 6686, 6687, 6685, 6684, 6689, 6688, 6711, 6710, 6709, 6708, 6712, 6713, 6657, 6656, 6659, 6658, 6655, 6654, 6699, 6698, 6700, 6701, 6696, 6697, 6676, 6677, 6675, 6674, 6673, 6672, 6568, 6569, 6566, 6567, 6565, 6564, 6706, 6707, 6702, 6703, 6704, 6705, 6560, 6561, 6563, 6562, 6559, 6558, 6628, 6629, 6627, 6626, 6624, 6625, 6619, 6618, 6620, 6621, 6622, 6623, 6552, 6553, 6556, 6557, 6555, 6554, 6577, 6576, 6579, 6578, 6580, 6581, 6573, 6572, 6574, 6575, 6570, 6571, 6718, 6719, 6717, 6716, 6715, 6714, 6591, 6590, 6592, 6593, 6588, 6589, 6608, 6609, 6611, 6610, 6606, 6607, 8066, 8067, 8069, 8068, 8065, 8064, 8233, 8232, 8234, 8235, 8236, 8237, 8200, 8201, 8199, 8198, 8197, 8196, 8161, 8160, 8164, 8165, 8162, 8163, 8073, 8072, 8070, 8071, 8075, 8074, 8122, 8123, 8118, 8119, 8121, 8120, 8146, 8147, 8144, 8145, 8142, 8143, 8184, 8185, 8186, 8187, 8189, 8188, 8171, 8170, 8169, 8168, 8166, 8167, 8150, 8151, 8152, 8153, 8149, 8148, 8245, 8244, 8248, 8249, 8246, 8247, 8179, 8178, 8181, 8180, 8183, 8182, 8080, 8081, 8079, 8078, 8076, 8077, 8210, 8211, 8208, 8209, 8213, 8212, 8203, 8202, 8206, 8207, 8204, 8205, 8175, 8174, 8176, 8177, 8173, 8172, 8101, 8100, 8103, 8102, 8104, 8105, 8155, 8154, 8156, 8157, 8159, 8158, 8115, 8114, 8117, 8116, 8112, 8113, 8083, 8082, 8087, 8086, 8085, 8084, 8195, 8194, 8193, 8192, 8191, 8190, 8225, 8224, 8221, 8220, 8223, 8222, 8241, 8240, 8239, 8238, 8242, 8243, 8216, 8217, 8219, 8218, 8215, 8214, 8099, 8098, 8094, 8095, 8096, 8097, 8092, 8093, 8089, 8088, 8090, 8091, 8141, 8140, 8139, 8138, 8136, 8137, 8134, 8135, 8131, 8130, 8133, 8132, 8228, 8229, 8227, 8226, 8231, 8230, 8253, 8252, 8251, 8250, 8254, 8255, 8107, 8106, 8110, 8111, 8109, 8108, 8127, 8126, 8129, 8128, 8125, 8124, 7014, 7015, 7016, 7017, 7019, 7018, 7062, 7063, 7067, 7066, 7064, 7065, 6945, 6944, 6942, 6943, 6947, 6946, 6932, 6933, 6934, 6935, 6931, 6930, 7023, 7022, 7020, 7021, 7025, 7024, 6912, 6913, 6917, 6916, 6914, 6915, 6971, 6970, 6966, 6967, 6968, 6969, 6994, 6995, 6992, 6993, 6991, 6990, 6923, 6922, 6921, 6920, 6919, 6918, 7026, 7027, 7030, 7031, 7029, 7028, 7084, 7085, 7081, 7080, 7083, 7082, 7004, 7005, 7006, 7007, 7002, 7003, 6925, 6924, 6928, 6929, 6926, 6927, 7061, 7060] +private def clayworthS_inv_c4 : Array (Fin 12096) := #[7057, 7056, 7058, 7059, 7054, 7055, 7051, 7050, 7052, 7053, 7094, 7095, 7097, 7096, 7093, 7092, 7045, 7044, 7047, 7046, 7048, 7049, 7043, 7042, 7040, 7041, 7038, 7039, 7078, 7079, 7076, 7077, 7074, 7075, 7010, 7011, 7012, 7013, 7008, 7009, 7034, 7035, 7037, 7036, 7033, 7032, 6952, 6953, 6951, 6950, 6948, 6949, 6998, 6999, 6996, 6997, 7000, 7001, 6972, 6973, 6977, 6976, 6974, 6975, 6985, 6984, 6987, 6986, 6989, 6988, 6936, 6937, 6941, 6940, 6938, 6939, 6956, 6957, 6955, 6954, 6958, 6959, 7073, 7072, 7069, 7068, 7071, 7070, 6983, 6982, 6981, 6980, 6979, 6978, 7089, 7088, 7090, 7091, 7086, 7087, 7100, 7101, 7103, 7102, 7099, 7098, 6962, 6963, 6960, 6961, 6964, 6965, 196, 197, 194, 195, 193, 192, 212, 213, 210, 211, 214, 215, 335, 334, 331, 330, 333, 332, 299, 298, 296, 297, 295, 294, 329, 328, 325, 324, 326, 327, 308, 309, 311, 310, 306, 307, 273, 272, 275, 274, 271, 270, 318, 319, 323, 322, 321, 320, 304, 305, 303, 302, 301, 300, 250, 251, 248, 249, 247, 246, 291, 290, 293, 292, 289, 288, 348, 349, 351, 350, 352, 353, 377, 376, 374, 375, 373, 372, 277, 276, 279, 278, 280, 281, 366, 367, 368, 369, 370, 371, 202, 203, 198, 199, 200, 201, 347, 346, 345, 344, 342, 343, 284, 285, 286, 287, 283, 282, 316, 317, 315, 314, 313, 312, 228, 229, 232, 233, 231, 230, 218, 219, 221, 220, 216, 217, 358, 359, 355, 354, 357, 356, 339, 338, 337, 336, 340, 341, 208, 209, 204, 205, 207, 206, 268, 269, 266, 267, 265, 264, 260, 261, 263, 262, 258, 259, 236, 237, 239, 238, 235, 234, 227, 226, 222, 223, 225, 224, 254, 255, 252, 253, 257, 256, 361, 360, 365, 364, 363, 362, 383, 382, 380, 381, 379, 378, 240, 241, 244, 245, 242, 243, 3681, 3680, 3678, 3679, 3683, 3682, 3739, 3738, 3741, 3740, 3742, 3743, 3799, 3798, 3803, 3802, 3801, 3800, 3757, 3756, 3761, 3760, 3759, 3758, 3782, 3783, 3780, 3781, 3785, 3784, 3766, 3767, 3763, 3762, 3764, 3765, 3724, 3725, 3723, 3722, 3720, 3721, 3768, 3769, 3771, 3770, 3773, 3772, 3652, 3653, 3648, 3649, 3650, 3651, 3698, 3699, 3701, 3700, 3697, 3696, 3748, 3749, 3746, 3747, 3745, 3744, 3691, 3690, 3694, 3695, 3692, 3693, 3787, 3786, 3789, 3788, 3790, 3791, 3672, 3673, 3677, 3676, 3674, 3675, 3751, 3750, 3752, 3753, 3755, 3754, 3655, 3654, 3658, 3659, 3657, 3656, 3835, 3834, 3837, 3836, 3839, 3838, 3778, 3779, 3777, 3776, 3775, 3774, 3805, 3804, 3809, 3808, 3806, 3807, 3661, 3660, 3664, 3665, 3663, 3662, 3820, 3821, 3818, 3819, 3816, 3817, 3735, 3734, 3733, 3732, 3737, 3736, 3670, 3671, 3669, 3668, 3667, 3666, 3822, 3823, 3827, 3826, 3825, 3824, 3728, 3729, 3727, 3726, 3731, 3730, 3796, 3797, 3792, 3793, 3795, 3794, 3718, 3719, 3715, 3714, 3717, 3716, 3709, 3708, 3710, 3711, 3712, 3713, 3810, 3811, 3815, 3814, 3812, 3813, 3706, 3707, 3705, 3704, 3702, 3703, 3830, 3831, 3828, 3829, 3832, 3833, 3687, 3686, 3689, 3688, 3685, 3684, 5274, 5275, 5277, 5276] +private def clayworthS_inv_c5 : Array (Fin 12096) := #[5278, 5279, 5187, 5186, 5188, 5189, 5184, 5185, 5335, 5334, 5339, 5338, 5336, 5337, 5211, 5210, 5213, 5212, 5209, 5208, 5197, 5196, 5198, 5199, 5200, 5201, 5314, 5315, 5311, 5310, 5312, 5313, 5285, 5284, 5282, 5283, 5281, 5280, 5306, 5307, 5304, 5305, 5308, 5309, 5294, 5295, 5293, 5292, 5296, 5297, 5193, 5192, 5191, 5190, 5195, 5194, 5230, 5231, 5228, 5229, 5227, 5226, 5291, 5290, 5289, 5288, 5286, 5287, 5242, 5243, 5238, 5239, 5240, 5241, 5258, 5259, 5257, 5256, 5261, 5260, 5222, 5223, 5220, 5221, 5224, 5225, 5323, 5322, 5326, 5327, 5325, 5324, 5301, 5300, 5302, 5303, 5298, 5299, 5374, 5375, 5370, 5371, 5372, 5373, 5340, 5341, 5343, 5342, 5345, 5344, 5356, 5357, 5352, 5353, 5355, 5354, 5331, 5330, 5333, 5332, 5328, 5329, 5363, 5362, 5358, 5359, 5361, 5360, 5270, 5271, 5268, 5269, 5273, 5272, 5245, 5244, 5246, 5247, 5249, 5248, 5205, 5204, 5206, 5207, 5202, 5203, 5266, 5267, 5263, 5262, 5264, 5265, 5317, 5316, 5319, 5318, 5320, 5321, 5215, 5214, 5216, 5217, 5219, 5218, 5350, 5351, 5347, 5346, 5349, 5348, 5254, 5255, 5252, 5253, 5250, 5251, 5367, 5366, 5368, 5369, 5364, 5365, 5235, 5234, 5237, 5236, 5233, 5232, 7776, 7777, 7778, 7779, 7781, 7780, 7683, 7682, 7685, 7684, 7681, 7680, 7823, 7822, 7821, 7820, 7818, 7819, 7788, 7789, 7790, 7791, 7792, 7793, 7816, 7817, 7813, 7812, 7814, 7815, 7688, 7689, 7687, 7686, 7691, 7690, 7750, 7751, 7749, 7748, 7747, 7746, 7756, 7757, 7754, 7755, 7752, 7753, 7785, 7784, 7787, 7786, 7783, 7782, 7860, 7861, 7865, 7864, 7863, 7862, 7766, 7767, 7765, 7764, 7769, 7768, 7740, 7741, 7745, 7744, 7742, 7743, 7803, 7802, 7805, 7804, 7801, 7800, 7836, 7837, 7838, 7839, 7840, 7841, 7797, 7796, 7799, 7798, 7795, 7794, 7716, 7717, 7718, 7719, 7721, 7720, 7693, 7692, 7697, 7696, 7695, 7694, 7827, 7826, 7829, 7828, 7824, 7825, 7808, 7809, 7810, 7811, 7807, 7806, 7846, 7847, 7843, 7842, 7844, 7845, 7705, 7704, 7708, 7709, 7707, 7706, 7859, 7858, 7856, 7857, 7854, 7855, 7772, 7773, 7775, 7774, 7770, 7771, 7732, 7733, 7730, 7731, 7728, 7729, 7714, 7715, 7713, 7712, 7711, 7710, 7832, 7833, 7831, 7830, 7835, 7834, 7699, 7698, 7702, 7703, 7700, 7701, 7734, 7735, 7737, 7736, 7738, 7739, 7724, 7725, 7726, 7727, 7722, 7723, 7848, 7849, 7853, 7852, 7851, 7850, 7760, 7761, 7758, 7759, 7762, 7763, 7871, 7870, 7869, 7868, 7867, 7866, 393, 392, 395, 394, 390, 391, 504, 505, 508, 509, 507, 506, 519, 518, 517, 516, 521, 520, 446, 447, 448, 449, 444, 445, 511, 510, 513, 512, 515, 514, 460, 461, 458, 459, 456, 457, 496, 497, 495, 494, 492, 493, 545, 544, 541, 540, 543, 542, 558, 559, 563, 562, 561, 560, 468, 469, 472, 473, 470, 471, 435, 434, 436, 437, 433, 432, 523, 522, 525, 524, 527, 526, 387, 386, 384, 385, 388, 389, 536, 537, 535, 534, 538, 539, 416, 417, 414, 415, 418, 419, 499, 498, 500, 501, 503, 502, 443, 442, 438, 439, 441, 440, 396, 397, 400, 401, 398, 399, 564, 565, 568, 569, 567, 566, 530, 531, 533, 532, 529, 528] +private def clayworthS_inv_c6 : Array (Fin 12096) := #[412, 413, 408, 409, 410, 411, 489, 488, 491, 490, 487, 486, 425, 424, 422, 423, 420, 421, 547, 546, 551, 550, 548, 549, 482, 483, 485, 484, 481, 480, 464, 465, 462, 463, 466, 467, 478, 479, 477, 476, 475, 474, 403, 402, 407, 406, 405, 404, 429, 428, 427, 426, 431, 430, 553, 552, 555, 554, 556, 557, 573, 572, 575, 574, 571, 570, 450, 451, 452, 453, 455, 454, 6763, 6762, 6764, 6765, 6767, 6766, 6895, 6894, 6898, 6899, 6897, 6896, 6875, 6874, 6871, 6870, 6873, 6872, 6835, 6834, 6839, 6838, 6837, 6836, 6867, 6866, 6864, 6865, 6869, 6868, 6842, 6843, 6840, 6841, 6845, 6844, 6722, 6723, 6721, 6720, 6725, 6724, 6815, 6814, 6812, 6813, 6811, 6810, 6727, 6726, 6731, 6730, 6729, 6728, 6791, 6790, 6789, 6788, 6787, 6786, 6833, 6832, 6828, 6829, 6830, 6831, 6901, 6900, 6903, 6902, 6904, 6905, 6799, 6798, 6803, 6802, 6800, 6801, 6824, 6825, 6827, 6826, 6822, 6823, 6847, 6846, 6848, 6849, 6851, 6850, 6893, 6892, 6889, 6888, 6891, 6890, 6776, 6777, 6779, 6778, 6775, 6774, 6733, 6732, 6737, 6736, 6735, 6734, 6907, 6906, 6908, 6909, 6910, 6911, 6877, 6876, 6879, 6878, 6880, 6881, 6862, 6863, 6861, 6860, 6859, 6858, 6852, 6853, 6854, 6855, 6856, 6857, 6761, 6760, 6758, 6759, 6756, 6757, 6746, 6747, 6749, 6748, 6744, 6745, 6816, 6817, 6818, 6819, 6820, 6821, 6793, 6792, 6795, 6794, 6797, 6796, 6743, 6742, 6739, 6738, 6741, 6740, 6809, 6808, 6805, 6804, 6806, 6807, 6884, 6885, 6883, 6882, 6887, 6886, 6753, 6752, 6751, 6750, 6755, 6754, 6770, 6771, 6769, 6768, 6773, 6772, 6781, 6780, 6784, 6785, 6782, 6783, 4069, 4068, 4073, 4072, 4070, 4071, 4037, 4036, 4035, 4034, 4032, 4033, 4054, 4055, 4050, 4051, 4052, 4053, 4140, 4141, 4144, 4145, 4142, 4143, 4039, 4038, 4040, 4041, 4042, 4043, 4087, 4086, 4088, 4089, 4091, 4090, 4120, 4121, 4118, 4119, 4116, 4117, 4166, 4167, 4164, 4165, 4168, 4169, 4044, 4045, 4048, 4049, 4046, 4047, 4149, 4148, 4147, 4146, 4151, 4150, 4137, 4136, 4139, 4138, 4134, 4135, 4205, 4204, 4200, 4201, 4202, 4203, 4216, 4217, 4215, 4214, 4212, 4213, 4108, 4109, 4104, 4105, 4106, 4107, 4131, 4130, 4128, 4129, 4132, 4133, 4080, 4081, 4084, 4085, 4082, 4083, 4159, 4158, 4160, 4161, 4162, 4163, 4172, 4173, 4170, 4171, 4175, 4174, 4155, 4154, 4156, 4157, 4152, 4153, 4056, 4057, 4060, 4061, 4058, 4059, 4198, 4199, 4194, 4195, 4196, 4197, 4066, 4067, 4064, 4065, 4062, 4063, 4191, 4190, 4193, 4192, 4189, 4188, 4211, 4210, 4207, 4206, 4208, 4209, 4125, 4124, 4127, 4126, 4123, 4122, 4095, 4094, 4093, 4092, 4096, 4097, 4186, 4187, 4185, 4184, 4182, 4183, 4113, 4112, 4114, 4115, 4111, 4110, 4178, 4179, 4176, 4177, 4180, 4181, 4101, 4100, 4099, 4098, 4103, 4102, 4222, 4223, 4221, 4220, 4219, 4218, 4076, 4077, 4079, 4078, 4075, 4074, 6174, 6175, 6176, 6177, 6179, 6178, 6149, 6148, 6147, 6146, 6145, 6144, 6294, 6295, 6298, 6299, 6296, 6297, 6302, 6303, 6304, 6305, 6300, 6301, 6267, 6266, 6268, 6269, 6264, 6265, 6151, 6150, 6153, 6152, 6155, 6154, 6191, 6190, 6186, 6187, 6188, 6189, 6253, 6252] +private def clayworthS_inv_c7 : Array (Fin 12096) := #[6257, 6256, 6255, 6254, 6158, 6159, 6161, 6160, 6156, 6157, 6236, 6237, 6238, 6239, 6235, 6234, 6197, 6196, 6192, 6193, 6195, 6194, 6318, 6319, 6323, 6322, 6320, 6321, 6218, 6219, 6216, 6217, 6221, 6220, 6244, 6245, 6240, 6241, 6242, 6243, 6283, 6282, 6286, 6287, 6284, 6285, 6277, 6276, 6281, 6280, 6279, 6278, 6228, 6229, 6231, 6230, 6232, 6233, 6185, 6184, 6182, 6183, 6181, 6180, 6324, 6325, 6327, 6326, 6329, 6328, 6260, 6261, 6262, 6263, 6258, 6259, 6167, 6166, 6163, 6162, 6165, 6164, 6224, 6225, 6227, 6226, 6223, 6222, 6251, 6250, 6247, 6246, 6249, 6248, 6290, 6291, 6293, 6292, 6288, 6289, 6310, 6311, 6306, 6307, 6308, 6309, 6214, 6215, 6211, 6210, 6212, 6213, 6208, 6209, 6205, 6204, 6206, 6207, 6273, 6272, 6270, 6271, 6275, 6274, 6170, 6171, 6172, 6173, 6168, 6169, 6200, 6201, 6202, 6203, 6198, 6199, 6314, 6315, 6312, 6313, 6317, 6316, 6334, 6335, 6333, 6332, 6330, 6331, 10755, 10754, 10756, 10757, 10753, 10752, 10785, 10784, 10783, 10782, 10787, 10786, 10899, 10898, 10896, 10897, 10900, 10901, 10875, 10874, 10873, 10872, 10876, 10877, 10758, 10759, 10762, 10763, 10761, 10760, 10765, 10764, 10769, 10768, 10767, 10766, 10868, 10869, 10867, 10866, 10871, 10870, 10823, 10822, 10820, 10821, 10818, 10819, 10830, 10831, 10834, 10835, 10832, 10833, 10940, 10941, 10942, 10943, 10939, 10938, 10885, 10884, 10887, 10886, 10889, 10888, 10775, 10774, 10772, 10773, 10771, 10770, 10902, 10903, 10904, 10905, 10907, 10906, 10921, 10920, 10922, 10923, 10925, 10924, 10881, 10880, 10882, 10883, 10879, 10878, 10788, 10789, 10791, 10790, 10793, 10792, 10863, 10862, 10860, 10861, 10864, 10865, 10815, 10814, 10816, 10817, 10813, 10812, 10780, 10781, 10779, 10778, 10777, 10776, 10908, 10909, 10910, 10911, 10912, 10913, 10936, 10937, 10935, 10934, 10933, 10932, 10856, 10857, 10854, 10855, 10858, 10859, 10892, 10893, 10894, 10895, 10891, 10890, 10798, 10799, 10796, 10797, 10794, 10795, 10848, 10849, 10851, 10850, 10852, 10853, 10847, 10846, 10845, 10844, 10842, 10843, 10838, 10839, 10841, 10840, 10837, 10836, 10916, 10917, 10914, 10915, 10918, 10919, 10802, 10803, 10804, 10805, 10800, 10801, 10928, 10929, 10927, 10926, 10931, 10930, 10826, 10827, 10824, 10825, 10828, 10829, 10810, 10811, 10806, 10807, 10808, 10809, 11581, 11580, 11583, 11582, 11585, 11584, 11640, 11641, 11643, 11642, 11644, 11645, 11522, 11523, 11524, 11525, 11521, 11520, 11693, 11692, 11688, 11689, 11690, 11691, 11558, 11559, 11556, 11557, 11560, 11561, 11680, 11681, 11679, 11678, 11676, 11677, 11526, 11527, 11529, 11528, 11531, 11530, 11665, 11664, 11669, 11668, 11666, 11667, 11537, 11536, 11535, 11534, 11532, 11533, 11608, 11609, 11606, 11607, 11605, 11604, 11648, 11649, 11650, 11651, 11647, 11646, 11635, 11634, 11637, 11636, 11639, 11638, 11588, 11589, 11590, 11591, 11586, 11587, 11540, 11541, 11538, 11539, 11542, 11543, 11673, 11672, 11675, 11674, 11670, 11671, 11654, 11655, 11657, 11656, 11653, 11652, 11568, 11569, 11571, 11570, 11573, 11572, 11596, 11597, 11593, 11592, 11594, 11595, 11545, 11544, 11549, 11548, 11547, 11546, 11700, 11701, 11704, 11705, 11702, 11703, 11660, 11661, 11663, 11662, 11658, 11659, 11683, 11682, 11685, 11684, 11687, 11686, 11566, 11567, 11564, 11565, 11562, 11563, 11628, 11629, 11631, 11630, 11632, 11633, 11612, 11613, 11610, 11611, 11614, 11615, 11627, 11626, 11623, 11622, 11624, 11625, 11550, 11551, 11553, 11552] +private def clayworthS_inv_c8 : Array (Fin 12096) := #[11555, 11554, 11576, 11577, 11575, 11574, 11579, 11578, 11619, 11618, 11621, 11620, 11617, 11616, 11694, 11695, 11699, 11698, 11697, 11696, 11710, 11711, 11708, 11709, 11707, 11706, 11600, 11601, 11602, 11603, 11598, 11599, 4658, 4659, 4656, 4657, 4660, 4661, 4699, 4698, 4701, 4700, 4703, 4702, 4610, 4611, 4612, 4613, 4608, 4609, 4763, 4762, 4760, 4761, 4758, 4759, 4633, 4632, 4635, 4634, 4636, 4637, 4685, 4684, 4683, 4682, 4680, 4681, 4614, 4615, 4618, 4619, 4616, 4617, 4712, 4713, 4711, 4710, 4715, 4714, 4678, 4679, 4676, 4677, 4674, 4675, 4770, 4771, 4772, 4773, 4774, 4775, 4694, 4695, 4692, 4693, 4696, 4697, 4786, 4787, 4783, 4782, 4785, 4784, 4664, 4665, 4662, 4663, 4666, 4667, 4717, 4716, 4719, 4718, 4721, 4720, 4730, 4731, 4729, 4728, 4733, 4732, 4741, 4740, 4744, 4745, 4743, 4742, 4737, 4736, 4735, 4734, 4739, 4738, 4705, 4704, 4706, 4707, 4708, 4709, 4625, 4624, 4623, 4622, 4621, 4620, 4789, 4788, 4793, 4792, 4790, 4791, 4727, 4726, 4725, 4724, 4722, 4723, 4751, 4750, 4747, 4746, 4749, 4748, 4764, 4765, 4766, 4767, 4769, 4768, 4648, 4649, 4646, 4647, 4645, 4644, 4778, 4779, 4776, 4777, 4781, 4780, 4689, 4688, 4690, 4691, 4686, 4687, 4626, 4627, 4630, 4631, 4628, 4629, 4654, 4655, 4653, 4652, 4650, 4651, 4642, 4643, 4638, 4639, 4640, 4641, 4753, 4752, 4755, 4754, 4756, 4757, 4798, 4799, 4796, 4797, 4794, 4795, 4669, 4668, 4671, 4670, 4672, 4673, 5572, 5573, 5570, 5571, 5568, 5569, 5724, 5725, 5728, 5729, 5727, 5726, 5581, 5580, 5583, 5582, 5585, 5584, 5695, 5694, 5699, 5698, 5696, 5697, 5672, 5673, 5670, 5671, 5674, 5675, 5577, 5576, 5574, 5575, 5579, 5578, 5679, 5678, 5677, 5676, 5680, 5681, 5666, 5667, 5665, 5664, 5668, 5669, 5626, 5627, 5624, 5625, 5623, 5622, 5660, 5661, 5663, 5662, 5658, 5659, 5743, 5742, 5747, 5746, 5745, 5744, 5644, 5645, 5642, 5643, 5640, 5641, 5741, 5740, 5737, 5736, 5738, 5739, 5691, 5690, 5689, 5688, 5693, 5692, 5708, 5709, 5706, 5707, 5710, 5711, 5618, 5619, 5617, 5616, 5621, 5620, 5751, 5750, 5753, 5752, 5749, 5748, 5700, 5701, 5702, 5703, 5705, 5704, 5684, 5685, 5686, 5687, 5682, 5683, 5716, 5717, 5713, 5712, 5714, 5715, 5594, 5595, 5596, 5597, 5592, 5593, 5600, 5601, 5602, 5603, 5599, 5598, 5732, 5733, 5730, 5731, 5734, 5735, 5656, 5657, 5653, 5652, 5654, 5655, 5629, 5628, 5633, 5632, 5630, 5631, 5589, 5588, 5591, 5590, 5587, 5586, 5650, 5651, 5646, 5647, 5648, 5649, 5609, 5608, 5607, 5606, 5604, 5605, 5721, 5720, 5722, 5723, 5718, 5719, 5637, 5636, 5638, 5639, 5635, 5634, 5759, 5758, 5757, 5756, 5755, 5754, 5613, 5612, 5611, 5610, 5615, 5614, 11377, 11376, 11381, 11380, 11379, 11378, 11430, 11431, 11432, 11433, 11434, 11435, 11342, 11343, 11344, 11345, 11340, 11341, 11452, 11453, 11450, 11451, 11448, 11449, 11328, 11329, 11330, 11331, 11332, 11333, 11499, 11498, 11500, 11501, 11496, 11497, 11400, 11401, 11403, 11402, 11405, 11404, 11425, 11424, 11426, 11427, 11429, 11428, 11339, 11338, 11335, 11334, 11336, 11337, 11444, 11445, 11446, 11447, 11442, 11443, 11478, 11479, 11480, 11481, 11483, 11482, 11474, 11475, 11472, 11473, 11476, 11477, 11358, 11359, 11360, 11361, 11362, 11363, 11437, 11436, 11438, 11439, 11440, 11441] +private def clayworthS_inv_c9 : Array (Fin 12096) := #[11384, 11385, 11383, 11382, 11386, 11387, 11455, 11454, 11456, 11457, 11458, 11459, 11488, 11489, 11484, 11485, 11487, 11486, 11346, 11347, 11351, 11350, 11349, 11348, 11494, 11495, 11492, 11493, 11490, 11491, 11370, 11371, 11375, 11374, 11372, 11373, 11354, 11355, 11357, 11356, 11353, 11352, 11502, 11503, 11504, 11505, 11507, 11506, 11422, 11423, 11418, 11419, 11420, 11421, 11469, 11468, 11467, 11466, 11471, 11470, 11416, 11417, 11414, 11415, 11412, 11413, 11407, 11406, 11410, 11411, 11409, 11408, 11463, 11462, 11464, 11465, 11461, 11460, 11368, 11369, 11364, 11365, 11366, 11367, 11396, 11397, 11394, 11395, 11399, 11398, 11508, 11509, 11513, 11512, 11511, 11510, 11518, 11519, 11517, 11516, 11514, 11515, 11389, 11388, 11390, 11391, 11392, 11393, 3314, 3315, 3312, 3313, 3316, 3317, 3265, 3264, 3267, 3266, 3268, 3269, 3285, 3284, 3287, 3286, 3283, 3282, 3401, 3400, 3399, 3398, 3397, 3396, 3379, 3378, 3383, 3382, 3380, 3381, 3334, 3335, 3331, 3330, 3332, 3333, 3370, 3371, 3366, 3367, 3368, 3369, 3384, 3385, 3389, 3388, 3386, 3387, 3273, 3272, 3274, 3275, 3271, 3270, 3346, 3347, 3344, 3345, 3342, 3343, 3448, 3449, 3446, 3447, 3444, 3445, 3356, 3357, 3358, 3359, 3354, 3355, 3390, 3391, 3393, 3392, 3395, 3394, 3420, 3421, 3425, 3424, 3423, 3422, 3415, 3414, 3417, 3416, 3418, 3419, 3288, 3289, 3291, 3290, 3293, 3292, 3329, 3328, 3325, 3324, 3327, 3326, 3451, 3450, 3455, 3454, 3452, 3453, 3430, 3431, 3426, 3427, 3429, 3428, 3374, 3375, 3372, 3373, 3377, 3376, 3303, 3302, 3304, 3305, 3301, 3300, 3348, 3349, 3351, 3350, 3353, 3352, 3412, 3413, 3410, 3411, 3409, 3408, 3363, 3362, 3365, 3364, 3360, 3361, 3404, 3405, 3407, 3406, 3403, 3402, 3276, 3277, 3280, 3281, 3279, 3278, 3308, 3309, 3306, 3307, 3311, 3310, 3295, 3294, 3296, 3297, 3299, 3298, 3432, 3433, 3434, 3435, 3437, 3436, 3438, 3439, 3442, 3443, 3441, 3440, 3320, 3321, 3323, 3322, 3318, 3319, 3336, 3337, 3339, 3338, 3340, 3341, 7380, 7381, 7383, 7382, 7385, 7384, 7472, 7473, 7475, 7474, 7471, 7470, 7398, 7399, 7400, 7401, 7402, 7403, 7431, 7430, 7429, 7428, 7433, 7432, 7423, 7422, 7427, 7426, 7425, 7424, 7297, 7296, 7301, 7300, 7299, 7298, 7404, 7405, 7407, 7406, 7409, 7408, 7349, 7348, 7346, 7347, 7344, 7345, 7388, 7389, 7390, 7391, 7386, 7387, 7477, 7476, 7479, 7478, 7481, 7480, 7367, 7366, 7363, 7362, 7365, 7364, 7453, 7452, 7457, 7456, 7454, 7455, 7447, 7446, 7451, 7450, 7448, 7449, 7413, 7412, 7414, 7415, 7411, 7410, 7393, 7392, 7397, 7396, 7395, 7394, 7303, 7302, 7306, 7307, 7304, 7305, 7434, 7435, 7437, 7436, 7438, 7439, 7468, 7469, 7465, 7464, 7466, 7467, 7325, 7324, 7322, 7323, 7321, 7320, 7421, 7420, 7416, 7417, 7419, 7418, 7337, 7336, 7334, 7335, 7333, 7332, 7458, 7459, 7463, 7462, 7460, 7461, 7374, 7375, 7376, 7377, 7379, 7378, 7350, 7351, 7353, 7352, 7354, 7355, 7440, 7441, 7444, 7445, 7442, 7443, 7315, 7314, 7319, 7318, 7317, 7316, 7369, 7368, 7372, 7373, 7370, 7371, 7308, 7309, 7311, 7310, 7313, 7312, 7338, 7339, 7340, 7341, 7342, 7343, 7329, 7328, 7326, 7327, 7331, 7330, 7356, 7357, 7360, 7361, 7358, 7359, 7485, 7484, 7482, 7483, 7487, 7486, 642, 643, 644, 645, 647, 646, 580, 581] +private def clayworthS_inv_c10 : Array (Fin 12096) := #[577, 576, 578, 579, 596, 597, 599, 598, 594, 595, 700, 701, 698, 699, 697, 696, 654, 655, 659, 658, 657, 656, 686, 687, 689, 688, 684, 685, 665, 664, 662, 663, 660, 661, 582, 583, 584, 585, 586, 587, 592, 593, 591, 590, 588, 589, 728, 729, 731, 730, 727, 726, 752, 753, 754, 755, 750, 751, 746, 747, 749, 748, 745, 744, 693, 692, 694, 695, 691, 690, 712, 713, 709, 708, 710, 711, 669, 668, 670, 671, 666, 667, 648, 649, 650, 651, 653, 652, 638, 639, 640, 641, 637, 636, 600, 601, 604, 605, 602, 603, 759, 758, 757, 756, 761, 760, 681, 680, 683, 682, 678, 679, 676, 677, 675, 674, 672, 673, 628, 629, 626, 627, 624, 625, 715, 714, 716, 717, 719, 718, 614, 615, 616, 617, 612, 613, 736, 737, 732, 733, 734, 735, 705, 704, 702, 703, 706, 707, 608, 609, 611, 610, 606, 607, 622, 623, 619, 618, 620, 621, 723, 722, 720, 721, 725, 724, 738, 739, 742, 743, 741, 740, 767, 766, 765, 764, 763, 762, 635, 634, 630, 631, 633, 632, 8288, 8289, 8287, 8286, 8291, 8290, 8346, 8347, 8348, 8349, 8350, 8351, 8413, 8412, 8417, 8416, 8414, 8415, 8374, 8375, 8373, 8372, 8370, 8371, 8353, 8352, 8356, 8357, 8355, 8354, 8305, 8304, 8306, 8307, 8309, 8308, 8314, 8315, 8313, 8312, 8310, 8311, 8418, 8419, 8422, 8423, 8421, 8420, 8438, 8439, 8441, 8440, 8437, 8436, 8324, 8325, 8327, 8326, 8323, 8322, 8341, 8340, 8345, 8344, 8343, 8342, 8432, 8433, 8434, 8435, 8430, 8431, 8301, 8300, 8302, 8303, 8299, 8298, 8258, 8259, 8257, 8256, 8261, 8260, 8394, 8395, 8396, 8397, 8399, 8398, 8274, 8275, 8276, 8277, 8278, 8279, 8263, 8262, 8267, 8266, 8265, 8264, 8442, 8443, 8447, 8446, 8445, 8444, 8376, 8377, 8380, 8381, 8379, 8378, 8366, 8367, 8369, 8368, 8364, 8365, 8362, 8363, 8360, 8361, 8359, 8358, 8400, 8401, 8404, 8405, 8402, 8403, 8424, 8425, 8428, 8429, 8426, 8427, 8392, 8393, 8390, 8391, 8389, 8388, 8269, 8268, 8273, 8272, 8271, 8270, 8339, 8338, 8336, 8337, 8335, 8334, 8329, 8328, 8331, 8330, 8332, 8333, 8384, 8385, 8386, 8387, 8382, 8383, 8284, 8285, 8283, 8282, 8280, 8281, 8407, 8406, 8409, 8408, 8411, 8410, 8318, 8319, 8320, 8321, 8316, 8317, 8295, 8294, 8296, 8297, 8292, 8293, 9408, 9409, 9410, 9411, 9413, 9412, 9566, 9567, 9569, 9568, 9564, 9565, 9440, 9441, 9442, 9443, 9438, 9439, 9429, 9428, 9431, 9430, 9427, 9426, 9501, 9500, 9498, 9499, 9503, 9502, 9525, 9524, 9526, 9527, 9522, 9523, 9507, 9506, 9504, 9505, 9509, 9508, 9491, 9490, 9489, 9488, 9486, 9487, 9419, 9418, 9414, 9415, 9416, 9417, 9496, 9497, 9492, 9493, 9495, 9494, 9573, 9572, 9575, 9574, 9570, 9571, 9470, 9471, 9469, 9468, 9473, 9472, 9583, 9582, 9584, 9585, 9586, 9587, 9460, 9461, 9459, 9458, 9457, 9456, 9511, 9510, 9512, 9513, 9515, 9514, 9422, 9423, 9420, 9421, 9425, 9424, 9530, 9531, 9533, 9532, 9528, 9529, 9546, 9547, 9550, 9551, 9549, 9548, 9444, 9445, 9446, 9447, 9448, 9449, 9592, 9593, 9588, 9589, 9590, 9591, 9534, 9535, 9538, 9539] +private def clayworthS_inv_c11 : Array (Fin 12096) := #[9536, 9537, 9521, 9520, 9519, 9518, 9517, 9516, 9562, 9563, 9559, 9558, 9560, 9561, 9553, 9552, 9557, 9556, 9554, 9555, 9484, 9485, 9483, 9482, 9481, 9480, 9478, 9479, 9475, 9474, 9477, 9476, 9543, 9542, 9540, 9541, 9544, 9545, 9434, 9435, 9437, 9436, 9432, 9433, 9454, 9455, 9450, 9451, 9452, 9453, 9464, 9465, 9466, 9467, 9462, 9463, 9580, 9581, 9578, 9579, 9576, 9577, 9598, 9599, 9596, 9597, 9595, 9594, 9236, 9237, 9234, 9235, 9238, 9239, 9289, 9288, 9290, 9291, 9292, 9293, 9373, 9372, 9374, 9375, 9377, 9376, 9340, 9341, 9337, 9336, 9338, 9339, 9332, 9333, 9334, 9335, 9331, 9330, 9315, 9314, 9312, 9313, 9316, 9317, 9324, 9325, 9328, 9329, 9326, 9327, 9307, 9306, 9311, 9310, 9309, 9308, 9299, 9298, 9295, 9294, 9297, 9296, 9265, 9264, 9269, 9268, 9267, 9266, 9278, 9279, 9280, 9281, 9276, 9277, 9394, 9395, 9390, 9391, 9392, 9393, 9247, 9246, 9250, 9251, 9249, 9248, 9323, 9322, 9319, 9318, 9320, 9321, 9356, 9357, 9354, 9355, 9359, 9358, 9300, 9301, 9303, 9302, 9305, 9304, 9397, 9396, 9399, 9398, 9400, 9401, 9342, 9343, 9347, 9346, 9344, 9345, 9378, 9379, 9380, 9381, 9382, 9383, 9285, 9284, 9287, 9286, 9283, 9282, 9231, 9230, 9232, 9233, 9228, 9229, 9360, 9361, 9365, 9364, 9363, 9362, 9227, 9226, 9224, 9225, 9223, 9222, 9259, 9258, 9263, 9262, 9260, 9261, 9270, 9271, 9274, 9275, 9272, 9273, 9350, 9351, 9349, 9348, 9352, 9353, 9217, 9216, 9221, 9220, 9219, 9218, 9367, 9366, 9368, 9369, 9371, 9370, 9387, 9386, 9384, 9385, 9389, 9388, 9406, 9407, 9405, 9404, 9403, 9402, 9242, 9243, 9240, 9241, 9244, 9245, 9253, 9252, 9255, 9254, 9257, 9256, 7159, 7158, 7161, 7160, 7162, 7163, 7207, 7206, 7208, 7209, 7211, 7210, 7108, 7109, 7104, 7105, 7106, 7107, 7270, 7271, 7266, 7267, 7268, 7269, 7130, 7131, 7128, 7129, 7133, 7132, 7120, 7121, 7117, 7116, 7119, 7118, 7223, 7222, 7219, 7218, 7221, 7220, 7239, 7238, 7237, 7236, 7240, 7241, 7199, 7198, 7196, 7197, 7194, 7195, 7231, 7230, 7233, 7232, 7235, 7234, 7180, 7181, 7177, 7176, 7178, 7179, 7281, 7280, 7282, 7283, 7279, 7278, 7295, 7294, 7291, 7290, 7292, 7293, 7227, 7226, 7225, 7224, 7228, 7229, 7114, 7115, 7112, 7113, 7111, 7110, 7215, 7214, 7213, 7212, 7216, 7217, 7173, 7172, 7175, 7174, 7170, 7171, 7242, 7243, 7244, 7245, 7246, 7247, 7135, 7134, 7138, 7139, 7136, 7137, 7276, 7277, 7272, 7273, 7274, 7275, 7254, 7255, 7256, 7257, 7259, 7258, 7144, 7145, 7142, 7143, 7140, 7141, 7289, 7288, 7284, 7285, 7287, 7286, 7201, 7200, 7203, 7202, 7205, 7204, 7183, 7182, 7185, 7184, 7187, 7186, 7193, 7192, 7188, 7189, 7191, 7190, 7249, 7248, 7250, 7251, 7253, 7252, 7123, 7122, 7124, 7125, 7126, 7127, 7152, 7153, 7154, 7155, 7156, 7157, 7149, 7148, 7146, 7147, 7151, 7150, 7260, 7261, 7265, 7264, 7263, 7262, 7164, 7165, 7169, 7168, 7166, 7167, 2258, 2259, 2256, 2257, 2260, 2261, 2135, 2134, 2131, 2130, 2133, 2132, 2225, 2224, 2220, 2221, 2223, 2222, 2182, 2183, 2178, 2179, 2181, 2180, 2208, 2209, 2210, 2211, 2213, 2212, 2114, 2115, 2116, 2117, 2112, 2113, 2274, 2275, 2279, 2278, 2277, 2276, 2293, 2292, 2297, 2296, 2294, 2295] +private def clayworthS_inv_c12 : Array (Fin 12096) := #[2288, 2289, 2290, 2291, 2286, 2287, 2170, 2171, 2167, 2166, 2169, 2168, 2228, 2229, 2230, 2231, 2226, 2227, 2244, 2245, 2246, 2247, 2248, 2249, 2177, 2176, 2173, 2172, 2175, 2174, 2120, 2121, 2119, 2118, 2123, 2122, 2232, 2233, 2236, 2237, 2234, 2235, 2217, 2216, 2219, 2218, 2215, 2214, 2262, 2263, 2267, 2266, 2264, 2265, 2136, 2137, 2138, 2139, 2141, 2140, 2273, 2272, 2271, 2270, 2269, 2268, 2151, 2150, 2153, 2152, 2149, 2148, 2251, 2250, 2254, 2255, 2253, 2252, 2147, 2146, 2143, 2142, 2145, 2144, 2193, 2192, 2191, 2190, 2195, 2194, 2127, 2126, 2125, 2124, 2129, 2128, 2205, 2204, 2203, 2202, 2206, 2207, 2241, 2240, 2239, 2238, 2243, 2242, 2156, 2157, 2158, 2159, 2154, 2155, 2199, 2198, 2197, 2196, 2200, 2201, 2280, 2281, 2285, 2284, 2282, 2283, 2303, 2302, 2300, 2301, 2298, 2299, 2164, 2165, 2161, 2160, 2163, 2162, 2185, 2184, 2186, 2187, 2189, 2188, 6374, 6375, 6373, 6372, 6376, 6377, 6432, 6433, 6434, 6435, 6436, 6437, 6341, 6340, 6337, 6336, 6338, 6339, 6465, 6464, 6467, 6466, 6462, 6463, 6393, 6392, 6395, 6394, 6390, 6391, 6346, 6347, 6343, 6342, 6345, 6344, 6443, 6442, 6440, 6441, 6438, 6439, 6498, 6499, 6502, 6503, 6501, 6500, 6415, 6414, 6416, 6417, 6418, 6419, 6514, 6515, 6511, 6510, 6512, 6513, 6453, 6452, 6455, 6454, 6451, 6450, 6352, 6353, 6350, 6351, 6349, 6348, 6477, 6476, 6474, 6475, 6479, 6478, 6447, 6446, 6448, 6449, 6445, 6444, 6387, 6386, 6388, 6389, 6384, 6385, 6516, 6517, 6519, 6518, 6521, 6520, 6484, 6485, 6480, 6481, 6482, 6483, 6367, 6366, 6370, 6371, 6368, 6369, 6497, 6496, 6495, 6494, 6493, 6492, 6429, 6428, 6430, 6431, 6427, 6426, 6458, 6459, 6460, 6461, 6456, 6457, 6509, 6508, 6505, 6504, 6507, 6506, 6403, 6402, 6406, 6407, 6404, 6405, 6468, 6469, 6473, 6472, 6470, 6471, 6361, 6360, 6364, 6365, 6363, 6362, 6424, 6425, 6423, 6422, 6420, 6421, 6356, 6357, 6359, 6358, 6354, 6355, 6487, 6486, 6491, 6490, 6488, 6489, 6412, 6413, 6410, 6411, 6408, 6409, 6526, 6527, 6524, 6525, 6522, 6523, 6383, 6382, 6379, 6378, 6380, 6381, 6398, 6399, 6400, 6401, 6396, 6397, 3505, 3504, 3507, 3506, 3509, 3508, 3459, 3458, 3460, 3461, 3456, 3457, 3607, 3606, 3610, 3611, 3609, 3608, 3476, 3477, 3478, 3479, 3475, 3474, 3599, 3598, 3596, 3597, 3594, 3595, 3590, 3591, 3589, 3588, 3593, 3592, 3464, 3465, 3467, 3466, 3463, 3462, 3566, 3567, 3569, 3568, 3565, 3564, 3556, 3557, 3553, 3552, 3555, 3554, 3626, 3627, 3629, 3628, 3625, 3624, 3642, 3643, 3646, 3647, 3645, 3644, 3546, 3547, 3549, 3548, 3551, 3550, 3641, 3640, 3636, 3637, 3638, 3639, 3519, 3518, 3521, 3520, 3517, 3516, 3470, 3471, 3473, 3472, 3468, 3469, 3573, 3572, 3575, 3574, 3570, 3571, 3487, 3486, 3489, 3488, 3491, 3490, 3559, 3558, 3560, 3561, 3562, 3563, 3584, 3585, 3586, 3587, 3582, 3583, 3613, 3612, 3614, 3615, 3617, 3616, 3482, 3483, 3484, 3485, 3481, 3480, 3577, 3576, 3578, 3579, 3580, 3581, 3541, 3540, 3542, 3543, 3545, 3544, 3528, 3529, 3531, 3530, 3532, 3533, 3538, 3539, 3534, 3535, 3536, 3537, 3603, 3602, 3600, 3601, 3605, 3604, 3500, 3501, 3502, 3503, 3498, 3499, 3494, 3495] +private def clayworthS_inv_c13 : Array (Fin 12096) := #[3492, 3493, 3496, 3497, 3618, 3619, 3622, 3623, 3621, 3620, 3631, 3630, 3632, 3633, 3634, 3635, 3515, 3514, 3511, 3510, 3513, 3512, 3525, 3524, 3526, 3527, 3522, 3523, 1039, 1038, 1040, 1041, 1042, 1043, 965, 964, 962, 963, 960, 961, 1114, 1115, 1113, 1112, 1111, 1110, 1123, 1122, 1126, 1127, 1125, 1124, 981, 980, 978, 979, 983, 982, 1091, 1090, 1089, 1088, 1086, 1087, 1077, 1076, 1075, 1074, 1079, 1078, 1007, 1006, 1002, 1003, 1005, 1004, 1065, 1064, 1067, 1066, 1063, 1062, 966, 967, 970, 971, 968, 969, 1047, 1046, 1045, 1044, 1049, 1048, 1018, 1019, 1016, 1017, 1014, 1015, 1138, 1139, 1135, 1134, 1137, 1136, 1143, 1142, 1145, 1144, 1141, 1140, 1025, 1024, 1021, 1020, 1023, 1022, 1050, 1051, 1052, 1053, 1055, 1054, 976, 977, 972, 973, 974, 975, 1081, 1080, 1083, 1082, 1085, 1084, 991, 990, 993, 992, 994, 995, 1148, 1149, 1146, 1147, 1150, 1151, 1092, 1093, 1094, 1095, 1096, 1097, 1070, 1071, 1072, 1073, 1068, 1069, 1116, 1117, 1121, 1120, 1118, 1119, 1130, 1131, 1129, 1128, 1133, 1132, 1034, 1035, 1033, 1032, 1036, 1037, 1059, 1058, 1060, 1061, 1057, 1056, 1000, 1001, 999, 998, 996, 997, 1105, 1104, 1108, 1109, 1106, 1107, 989, 988, 987, 986, 985, 984, 1026, 1027, 1028, 1029, 1030, 1031, 1100, 1101, 1099, 1098, 1103, 1102, 1009, 1008, 1013, 1012, 1010, 1011, 11815, 11814, 11817, 11816, 11818, 11819, 11715, 11714, 11717, 11716, 11713, 11712, 11737, 11736, 11739, 11738, 11740, 11741, 11861, 11860, 11859, 11858, 11856, 11857, 11841, 11840, 11838, 11839, 11843, 11842, 11777, 11776, 11773, 11772, 11775, 11774, 11800, 11801, 11796, 11797, 11798, 11799, 11723, 11722, 11718, 11719, 11720, 11721, 11834, 11835, 11832, 11833, 11837, 11836, 11825, 11824, 11823, 11822, 11820, 11821, 11902, 11903, 11898, 11899, 11900, 11901, 11787, 11786, 11784, 11785, 11789, 11788, 11805, 11804, 11807, 11806, 11803, 11802, 11770, 11771, 11769, 11768, 11767, 11766, 11727, 11726, 11725, 11724, 11729, 11728, 11851, 11850, 11852, 11853, 11855, 11854, 11876, 11877, 11878, 11879, 11874, 11875, 11871, 11870, 11868, 11869, 11873, 11872, 11827, 11826, 11829, 11828, 11830, 11831, 11730, 11731, 11734, 11735, 11732, 11733, 11863, 11862, 11866, 11867, 11864, 11865, 11890, 11891, 11887, 11886, 11888, 11889, 11746, 11747, 11743, 11742, 11745, 11744, 11811, 11810, 11808, 11809, 11812, 11813, 11849, 11848, 11846, 11847, 11845, 11844, 11880, 11881, 11885, 11884, 11882, 11883, 11753, 11752, 11751, 11750, 11748, 11749, 11896, 11897, 11893, 11892, 11895, 11894, 11778, 11779, 11780, 11781, 11782, 11783, 11794, 11795, 11792, 11793, 11790, 11791, 11754, 11755, 11756, 11757, 11759, 11758, 11762, 11763, 11760, 11761, 11765, 11764, 8731, 8730, 8733, 8732, 8734, 8735, 8644, 8645, 8642, 8643, 8641, 8640, 8805, 8804, 8802, 8803, 8806, 8807, 8811, 8810, 8809, 8808, 8813, 8812, 8648, 8649, 8647, 8646, 8651, 8650, 8737, 8736, 8738, 8739, 8740, 8741, 8753, 8752, 8751, 8750, 8748, 8749, 8767, 8766, 8768, 8769, 8771, 8770, 8745, 8744, 8742, 8743, 8747, 8746, 8816, 8817, 8818, 8819, 8814, 8815, 8720, 8721, 8723, 8722, 8718, 8719, 8822, 8823, 8825, 8824, 8820, 8821, 8762, 8763, 8764, 8765, 8761, 8760, 8772, 8773, 8774, 8775, 8777, 8776, 8796, 8797, 8798, 8799] +private def clayworthS_inv_c14 : Array (Fin 12096) := #[8800, 8801, 8795, 8794, 8790, 8791, 8792, 8793, 8756, 8757, 8758, 8759, 8754, 8755, 8670, 8671, 8672, 8673, 8674, 8675, 8652, 8653, 8654, 8655, 8656, 8657, 8829, 8828, 8830, 8831, 8826, 8827, 8663, 8662, 8660, 8661, 8658, 8659, 8726, 8727, 8724, 8725, 8729, 8728, 8668, 8669, 8667, 8666, 8664, 8665, 8700, 8701, 8702, 8703, 8704, 8705, 8787, 8786, 8789, 8788, 8784, 8785, 8714, 8715, 8712, 8713, 8717, 8716, 8781, 8780, 8782, 8783, 8779, 8778, 8686, 8687, 8685, 8684, 8683, 8682, 8678, 8679, 8676, 8677, 8680, 8681, 8709, 8708, 8711, 8710, 8707, 8706, 8691, 8690, 8688, 8689, 8692, 8693, 8697, 8696, 8698, 8699, 8695, 8694, 7933, 7932, 7935, 7934, 7937, 7936, 8022, 8023, 8026, 8027, 8025, 8024, 8045, 8044, 8043, 8042, 8041, 8040, 7885, 7884, 7888, 7889, 7886, 7887, 7969, 7968, 7972, 7973, 7971, 7970, 8003, 8002, 7999, 7998, 8001, 8000, 7982, 7983, 7980, 7981, 7985, 7984, 7948, 7949, 7947, 7946, 7945, 7944, 7995, 7994, 7996, 7997, 7992, 7993, 7877, 7876, 7873, 7872, 7874, 7875, 7975, 7974, 7976, 7977, 7979, 7978, 7966, 7967, 7962, 7963, 7964, 7965, 7955, 7954, 7953, 7952, 7950, 7951, 7956, 7957, 7960, 7961, 7958, 7959, 7879, 7878, 7883, 7882, 7880, 7881, 8006, 8007, 8004, 8005, 8009, 8008, 8021, 8020, 8017, 8016, 8019, 8018, 7915, 7914, 7919, 7918, 7917, 7916, 7940, 7941, 7942, 7943, 7938, 7939, 7890, 7891, 7894, 7895, 7892, 7893, 8029, 8028, 8033, 8032, 8030, 8031, 8049, 8048, 8046, 8047, 8050, 8051, 7991, 7990, 7987, 7986, 7988, 7989, 7912, 7913, 7908, 7909, 7910, 7911, 8052, 8053, 8057, 8056, 8054, 8055, 7904, 7905, 7906, 7907, 7903, 7902, 8012, 8013, 8011, 8010, 8015, 8014, 7897, 7896, 7901, 7900, 7899, 7898, 7926, 7927, 7929, 7928, 7930, 7931, 7922, 7923, 7924, 7925, 7921, 7920, 8034, 8035, 8037, 8036, 8039, 8038, 8062, 8063, 8061, 8060, 8058, 8059, 9985, 9984, 9987, 9986, 9988, 9989, 10015, 10014, 10017, 10016, 10018, 10019, 9991, 9990, 9992, 9993, 9995, 9994, 10144, 10145, 10143, 10142, 10141, 10140, 10137, 10136, 10135, 10134, 10139, 10138, 10061, 10060, 10059, 10058, 10056, 10057, 10091, 10090, 10089, 10088, 10086, 10087, 10124, 10125, 10126, 10127, 10123, 10122, 10077, 10076, 10079, 10078, 10075, 10074, 10098, 10099, 10103, 10102, 10100, 10101, 10169, 10168, 10164, 10165, 10166, 10167, 10047, 10046, 10044, 10045, 10048, 10049, 10113, 10112, 10110, 10111, 10114, 10115, 10154, 10155, 10157, 10156, 10152, 10153, 10032, 10033, 10034, 10035, 10037, 10036, 10104, 10105, 10106, 10107, 10108, 10109, 10053, 10052, 10050, 10051, 10055, 10054, 9999, 9998, 9996, 9997, 10000, 10001, 10175, 10174, 10170, 10171, 10172, 10173, 10133, 10132, 10131, 10130, 10128, 10129, 10021, 10020, 10024, 10025, 10023, 10022, 10162, 10163, 10160, 10161, 10158, 10159, 10121, 10120, 10116, 10117, 10118, 10119, 10031, 10030, 10026, 10027, 10029, 10028, 10092, 10093, 10095, 10094, 10097, 10096, 10063, 10062, 10064, 10065, 10067, 10066, 10146, 10147, 10151, 10150, 10148, 10149, 10009, 10008, 10011, 10010, 10013, 10012, 10084, 10085, 10080, 10081, 10082, 10083, 10005, 10004, 10006, 10007, 10002, 10003, 10038, 10039, 10041, 10040, 10043, 10042, 10073, 10072, 10070, 10071, 10069, 10068, 1824, 1825, 1826, 1827, 1828, 1829, 1886, 1887, 1885, 1884, 1888, 1889] +private def clayworthS_inv_c15 : Array (Fin 12096) := #[1747, 1746, 1749, 1748, 1751, 1750, 1735, 1734, 1736, 1737, 1739, 1738, 1870, 1871, 1869, 1868, 1866, 1867, 1846, 1847, 1843, 1842, 1844, 1845, 1792, 1793, 1789, 1788, 1791, 1790, 1861, 1860, 1862, 1863, 1865, 1864, 1732, 1733, 1728, 1729, 1730, 1731, 1835, 1834, 1833, 1832, 1831, 1830, 1812, 1813, 1816, 1817, 1814, 1815, 1907, 1906, 1903, 1902, 1904, 1905, 1857, 1856, 1859, 1858, 1854, 1855, 1850, 1851, 1853, 1852, 1848, 1849, 1755, 1754, 1752, 1753, 1756, 1757, 1836, 1837, 1838, 1839, 1841, 1840, 1787, 1786, 1782, 1783, 1784, 1785, 1909, 1908, 1913, 1912, 1910, 1911, 1872, 1873, 1874, 1875, 1877, 1876, 1891, 1890, 1893, 1892, 1894, 1895, 1820, 1821, 1822, 1823, 1818, 1819, 1769, 1768, 1766, 1767, 1764, 1765, 1878, 1879, 1882, 1883, 1881, 1880, 1897, 1896, 1900, 1901, 1899, 1898, 1810, 1811, 1806, 1807, 1808, 1809, 1745, 1744, 1743, 1742, 1741, 1740, 1805, 1804, 1801, 1800, 1803, 1802, 1795, 1794, 1799, 1798, 1796, 1797, 1774, 1775, 1772, 1773, 1770, 1771, 1760, 1761, 1762, 1763, 1758, 1759, 1917, 1916, 1919, 1918, 1914, 1915, 1781, 1780, 1776, 1777, 1779, 1778, 10602, 10603, 10606, 10607, 10604, 10605, 10657, 10656, 10658, 10659, 10661, 10660, 10580, 10581, 10578, 10579, 10583, 10582, 10570, 10571, 10567, 10566, 10569, 10568, 10702, 10703, 10699, 10698, 10701, 10700, 10670, 10671, 10668, 10669, 10672, 10673, 10561, 10560, 10563, 10562, 10564, 10565, 10612, 10613, 10608, 10609, 10610, 10611, 10649, 10648, 10646, 10647, 10644, 10645, 10688, 10689, 10690, 10691, 10687, 10686, 10624, 10625, 10620, 10621, 10622, 10623, 10733, 10732, 10729, 10728, 10730, 10731, 10633, 10632, 10636, 10637, 10634, 10635, 10744, 10745, 10740, 10741, 10742, 10743, 10712, 10713, 10710, 10711, 10714, 10715, 10676, 10677, 10678, 10679, 10674, 10675, 10591, 10590, 10595, 10594, 10593, 10592, 10663, 10662, 10665, 10664, 10667, 10666, 10575, 10574, 10572, 10573, 10577, 10576, 10696, 10697, 10695, 10694, 10692, 10693, 10726, 10727, 10722, 10723, 10724, 10725, 10653, 10652, 10654, 10655, 10650, 10651, 10685, 10684, 10682, 10683, 10680, 10681, 10718, 10719, 10721, 10720, 10717, 10716, 10588, 10589, 10587, 10586, 10584, 10585, 10734, 10735, 10738, 10739, 10736, 10737, 10629, 10628, 10626, 10627, 10631, 10630, 10639, 10638, 10640, 10641, 10642, 10643, 10705, 10704, 10707, 10706, 10709, 10708, 10598, 10599, 10601, 10600, 10597, 10596, 10750, 10751, 10748, 10749, 10746, 10747, 10617, 10616, 10618, 10619, 10614, 10615, 5762, 5763, 5764, 5765, 5760, 5761, 5913, 5912, 5911, 5910, 5914, 5915, 5922, 5923, 5926, 5927, 5924, 5925, 5799, 5798, 5797, 5796, 5801, 5800, 5781, 5780, 5779, 5778, 5783, 5782, 5884, 5885, 5880, 5881, 5882, 5883, 5864, 5865, 5866, 5867, 5862, 5863, 5766, 5767, 5770, 5771, 5769, 5768, 5829, 5828, 5831, 5830, 5827, 5826, 5876, 5877, 5879, 5878, 5874, 5875, 5775, 5774, 5777, 5776, 5773, 5772, 5854, 5855, 5853, 5852, 5851, 5850, 5938, 5939, 5934, 5935, 5936, 5937, 5820, 5821, 5825, 5824, 5822, 5823, 5905, 5904, 5909, 5908, 5907, 5906, 5857, 5856, 5859, 5858, 5860, 5861, 5787, 5786, 5788, 5789, 5784, 5785, 5947, 5946, 5950, 5951, 5948, 5949, 5888, 5889, 5890, 5891, 5887, 5886, 5802, 5803, 5806, 5807, 5804, 5805, 5932, 5933, 5929, 5928, 5930, 5931, 5873, 5872] +private def clayworthS_inv_c16 : Array (Fin 12096) := #[5871, 5870, 5868, 5869, 5810, 5811, 5812, 5813, 5808, 5809, 5944, 5945, 5940, 5941, 5942, 5943, 5900, 5901, 5902, 5903, 5898, 5899, 5849, 5848, 5845, 5844, 5846, 5847, 5840, 5841, 5842, 5843, 5838, 5839, 5894, 5895, 5896, 5897, 5892, 5893, 5791, 5790, 5794, 5795, 5792, 5793, 5817, 5816, 5814, 5815, 5819, 5818, 5917, 5916, 5921, 5920, 5919, 5918, 5833, 5832, 5837, 5836, 5835, 5834, 7537, 7536, 7538, 7539, 7541, 7540, 7573, 7572, 7575, 7574, 7577, 7576, 7645, 7644, 7648, 7649, 7647, 7646, 7520, 7521, 7519, 7518, 7523, 7522, 7624, 7625, 7622, 7623, 7620, 7621, 7598, 7599, 7601, 7600, 7597, 7596, 7489, 7488, 7491, 7490, 7492, 7493, 7590, 7591, 7592, 7593, 7594, 7595, 7583, 7582, 7579, 7578, 7581, 7580, 7662, 7663, 7665, 7664, 7666, 7667, 7670, 7671, 7673, 7672, 7668, 7669, 7604, 7605, 7607, 7606, 7603, 7602, 7498, 7499, 7495, 7494, 7496, 7497, 7615, 7614, 7616, 7617, 7618, 7619, 7584, 7585, 7586, 7587, 7588, 7589, 7546, 7547, 7545, 7544, 7542, 7543, 7500, 7501, 7505, 7504, 7503, 7502, 7675, 7674, 7678, 7679, 7677, 7676, 7611, 7610, 7613, 7612, 7608, 7609, 7650, 7651, 7655, 7654, 7652, 7653, 7660, 7661, 7658, 7659, 7657, 7656, 7568, 7569, 7567, 7566, 7571, 7570, 7638, 7639, 7640, 7641, 7643, 7642, 7549, 7548, 7550, 7551, 7552, 7553, 7636, 7637, 7634, 7635, 7633, 7632, 7513, 7512, 7516, 7517, 7514, 7515, 7560, 7561, 7562, 7563, 7565, 7564, 7630, 7631, 7627, 7626, 7629, 7628, 7506, 7507, 7508, 7509, 7511, 7510, 7533, 7532, 7530, 7531, 7535, 7534, 7526, 7527, 7524, 7525, 7529, 7528, 7559, 7558, 7556, 7557, 7555, 7554, 2651, 2650, 2649, 2648, 2647, 2646, 2536, 2537, 2532, 2533, 2535, 2534, 2621, 2620, 2618, 2619, 2616, 2617, 2496, 2497, 2499, 2498, 2500, 2501, 2610, 2611, 2614, 2615, 2612, 2613, 2502, 2503, 2506, 2507, 2505, 2504, 2598, 2599, 2601, 2600, 2602, 2603, 2578, 2579, 2576, 2577, 2574, 2575, 2658, 2659, 2660, 2661, 2662, 2663, 2584, 2585, 2581, 2580, 2582, 2583, 2678, 2679, 2680, 2681, 2677, 2676, 2569, 2568, 2570, 2571, 2573, 2572, 2605, 2604, 2606, 2607, 2609, 2608, 2510, 2511, 2512, 2513, 2508, 2509, 2634, 2635, 2638, 2639, 2637, 2636, 2553, 2552, 2551, 2550, 2555, 2554, 2518, 2519, 2516, 2517, 2515, 2514, 2543, 2542, 2538, 2539, 2540, 2541, 2594, 2595, 2596, 2597, 2592, 2593, 2642, 2643, 2640, 2641, 2644, 2645, 2547, 2546, 2549, 2548, 2544, 2545, 2664, 2665, 2667, 2666, 2669, 2668, 2589, 2588, 2591, 2590, 2587, 2586, 2630, 2631, 2628, 2629, 2632, 2633, 2529, 2528, 2526, 2527, 2530, 2531, 2625, 2624, 2626, 2627, 2622, 2623, 2520, 2521, 2524, 2525, 2523, 2522, 2561, 2560, 2557, 2556, 2558, 2559, 2653, 2652, 2656, 2657, 2655, 2654, 2670, 2671, 2674, 2675, 2672, 2673, 2684, 2685, 2687, 2686, 2682, 2683, 2566, 2567, 2562, 2563, 2564, 2565, 9678, 9679, 9680, 9681, 9682, 9683, 9748, 9749, 9747, 9746, 9745, 9744, 9751, 9750, 9752, 9753, 9754, 9755, 9629, 9628, 9625, 9624, 9626, 9627, 9606, 9607, 9608, 9609, 9610, 9611, 9724, 9725, 9723, 9722, 9721, 9720, 9711, 9710, 9712, 9713, 9709, 9708, 9676, 9677, 9675, 9674, 9673, 9672, 9659, 9658, 9655, 9654] +private def clayworthS_inv_c17 : Array (Fin 12096) := #[9657, 9656, 9686, 9687, 9688, 9689, 9685, 9684, 9779, 9778, 9775, 9774, 9777, 9776, 9696, 9697, 9699, 9698, 9700, 9701, 9605, 9604, 9601, 9600, 9602, 9603, 9716, 9717, 9718, 9719, 9714, 9715, 9738, 9739, 9743, 9742, 9741, 9740, 9733, 9732, 9737, 9736, 9734, 9735, 9693, 9692, 9694, 9695, 9690, 9691, 9639, 9638, 9637, 9636, 9640, 9641, 9612, 9613, 9616, 9617, 9615, 9614, 9782, 9783, 9780, 9781, 9785, 9784, 9631, 9630, 9632, 9633, 9634, 9635, 9761, 9760, 9757, 9756, 9758, 9759, 9706, 9707, 9705, 9704, 9702, 9703, 9646, 9647, 9644, 9645, 9642, 9643, 9763, 9762, 9766, 9767, 9765, 9764, 9663, 9662, 9661, 9660, 9664, 9665, 9622, 9623, 9621, 9620, 9619, 9618, 9667, 9666, 9670, 9671, 9668, 9669, 9727, 9726, 9728, 9729, 9731, 9730, 9773, 9772, 9770, 9771, 9769, 9768, 9790, 9791, 9789, 9788, 9786, 9787, 9650, 9651, 9649, 9648, 9652, 9653, 1968, 1969, 1971, 1970, 1973, 1972, 2075, 2074, 2070, 2071, 2072, 2073, 1946, 1947, 1945, 1944, 1949, 1948, 2043, 2042, 2040, 2041, 2044, 2045, 2020, 2021, 2018, 2019, 2017, 2016, 1920, 1921, 1922, 1923, 1925, 1924, 1985, 1984, 1983, 1982, 1980, 1981, 2029, 2028, 2031, 2030, 2032, 2033, 2010, 2011, 2014, 2015, 2013, 2012, 2102, 2103, 2104, 2105, 2100, 2101, 2007, 2006, 2008, 2009, 2004, 2005, 2097, 2096, 2099, 2098, 2094, 2095, 1930, 1931, 1926, 1927, 1928, 1929, 2061, 2060, 2058, 2059, 2063, 2062, 2024, 2025, 2026, 2027, 2022, 2023, 1951, 1950, 1955, 1954, 1953, 1952, 1935, 1934, 1933, 1932, 1937, 1936, 2106, 2107, 2109, 2108, 2111, 2110, 2046, 2047, 2048, 2049, 2051, 2050, 2036, 2037, 2038, 2039, 2034, 2035, 2068, 2069, 2065, 2064, 2067, 2066, 2078, 2079, 2076, 2077, 2081, 2080, 1967, 1966, 1964, 1965, 1963, 1962, 2082, 2083, 2084, 2085, 2087, 2086, 1999, 1998, 2000, 2001, 2003, 2002, 1986, 1987, 1988, 1989, 1991, 1990, 2054, 2055, 2052, 2053, 2056, 2057, 1996, 1997, 1992, 1993, 1994, 1995, 1939, 1938, 1942, 1943, 1941, 1940, 1957, 1956, 1958, 1959, 1960, 1961, 2089, 2088, 2093, 2092, 2090, 2091, 1976, 1977, 1975, 1974, 1979, 1978, 11111, 11110, 11109, 11108, 11107, 11106, 10963, 10962, 10965, 10964, 10967, 10966, 10945, 10944, 10947, 10946, 10948, 10949, 11009, 11008, 11004, 11005, 11007, 11006, 11039, 11038, 11036, 11037, 11035, 11034, 10953, 10952, 10955, 10954, 10950, 10951, 11015, 11014, 11011, 11010, 11012, 11013, 11056, 11057, 11054, 11055, 11052, 11053, 11024, 11025, 11027, 11026, 11022, 11023, 11040, 11041, 11044, 11045, 11042, 11043, 11124, 11125, 11126, 11127, 11129, 11128, 10960, 10961, 10956, 10957, 10958, 10959, 11076, 11077, 11078, 11079, 11080, 11081, 11066, 11067, 11069, 11068, 11065, 11064, 11059, 11058, 11061, 11060, 11063, 11062, 11131, 11130, 11135, 11134, 11132, 11133, 11075, 11074, 11072, 11073, 11070, 11071, 10975, 10974, 10978, 10979, 10977, 10976, 11116, 11117, 11112, 11113, 11114, 11115, 11048, 11049, 11046, 11047, 11050, 11051, 10996, 10997, 10995, 10994, 10993, 10992, 11096, 11097, 11099, 11098, 11095, 11094, 10982, 10983, 10985, 10984, 10980, 10981, 11016, 11017, 11018, 11019, 11020, 11021, 11091, 11090, 11088, 11089, 11093, 11092, 10970, 10971, 10973, 10972, 10969, 10968, 11033, 11032, 11030, 11031, 11029, 11028, 11084, 11085, 11083, 11082, 11086, 11087] +private def clayworthS_inv_c18 : Array (Fin 12096) := #[11002, 11003, 11000, 11001, 10999, 10998, 10986, 10987, 10988, 10989, 10991, 10990, 11102, 11103, 11104, 11105, 11101, 11100, 11119, 11118, 11123, 11122, 11120, 11121, 5424, 5425, 5426, 5427, 5428, 5429, 5484, 5485, 5487, 5486, 5489, 5488, 5521, 5520, 5525, 5524, 5523, 5522, 5542, 5543, 5539, 5538, 5541, 5540, 5403, 5402, 5401, 5400, 5404, 5405, 5384, 5385, 5387, 5386, 5383, 5382, 5514, 5515, 5519, 5518, 5517, 5516, 5498, 5499, 5496, 5497, 5500, 5501, 5440, 5441, 5437, 5436, 5439, 5438, 5476, 5477, 5475, 5474, 5472, 5473, 5377, 5376, 5380, 5381, 5379, 5378, 5490, 5491, 5492, 5493, 5494, 5495, 5447, 5446, 5445, 5444, 5443, 5442, 5549, 5548, 5544, 5545, 5546, 5547, 5566, 5567, 5563, 5562, 5564, 5565, 5454, 5455, 5458, 5459, 5457, 5456, 5479, 5478, 5482, 5483, 5480, 5481, 5560, 5561, 5556, 5557, 5558, 5559, 5508, 5509, 5510, 5511, 5513, 5512, 5505, 5504, 5507, 5506, 5503, 5502, 5432, 5433, 5431, 5430, 5435, 5434, 5392, 5393, 5390, 5391, 5388, 5389, 5526, 5527, 5529, 5528, 5531, 5530, 5408, 5409, 5410, 5411, 5406, 5407, 5423, 5422, 5421, 5420, 5419, 5418, 5416, 5417, 5415, 5414, 5413, 5412, 5471, 5470, 5467, 5466, 5468, 5469, 5461, 5460, 5465, 5464, 5463, 5462, 5394, 5395, 5398, 5399, 5396, 5397, 5533, 5532, 5537, 5536, 5535, 5534, 5448, 5449, 5453, 5452, 5450, 5451, 5553, 5552, 5555, 5554, 5551, 5550, 4231, 4230, 4233, 4232, 4234, 4235, 4330, 4331, 4328, 4329, 4327, 4326, 4307, 4306, 4304, 4305, 4303, 4302, 4226, 4227, 4228, 4229, 4224, 4225, 4321, 4320, 4325, 4324, 4323, 4322, 4295, 4294, 4291, 4290, 4292, 4293, 4408, 4409, 4406, 4407, 4404, 4405, 4311, 4310, 4312, 4313, 4309, 4308, 4276, 4277, 4273, 4272, 4275, 4274, 4341, 4340, 4338, 4339, 4342, 4343, 4371, 4370, 4369, 4368, 4372, 4373, 4335, 4334, 4337, 4336, 4333, 4332, 4257, 4256, 4255, 4254, 4259, 4258, 4315, 4314, 4318, 4319, 4316, 4317, 4282, 4283, 4279, 4278, 4280, 4281, 4412, 4413, 4414, 4415, 4410, 4411, 4350, 4351, 4354, 4355, 4352, 4353, 4385, 4384, 4380, 4381, 4383, 4382, 4390, 4391, 4387, 4386, 4389, 4388, 4347, 4346, 4348, 4349, 4344, 4345, 4374, 4375, 4377, 4376, 4379, 4378, 4250, 4251, 4252, 4253, 4249, 4248, 4392, 4393, 4396, 4397, 4394, 4395, 4366, 4367, 4365, 4364, 4363, 4362, 4243, 4242, 4244, 4245, 4247, 4246, 4359, 4358, 4356, 4357, 4361, 4360, 4236, 4237, 4239, 4238, 4240, 4241, 4263, 4262, 4261, 4260, 4264, 4265, 4300, 4301, 4298, 4299, 4296, 4297, 4399, 4398, 4400, 4401, 4403, 4402, 4268, 4269, 4267, 4266, 4270, 4271, 4286, 4287, 4288, 4289, 4285, 4284, 9085, 9084, 9089, 9088, 9087, 9086, 9026, 9027, 9028, 9029, 9025, 9024, 9184, 9185, 9183, 9182, 9180, 9181, 9195, 9194, 9193, 9192, 9197, 9196, 9042, 9043, 9045, 9044, 9046, 9047, 9150, 9151, 9154, 9155, 9152, 9153, 9030, 9031, 9033, 9032, 9035, 9034, 9106, 9107, 9103, 9102, 9104, 9105, 9117, 9116, 9118, 9119, 9114, 9115, 9213, 9212, 9215, 9214, 9211, 9210, 9098, 9099, 9101, 9100, 9096, 9097, 9158, 9159, 9160, 9161, 9156, 9157, 9038, 9039, 9040, 9041, 9037, 9036, 9169, 9168, 9170, 9171, 9172, 9173, 9144, 9145, 9148, 9149, 9147, 9146, 9049, 9048] +private def clayworthS_inv_c19 : Array (Fin 12096) := #[9050, 9051, 9053, 9052, 9177, 9176, 9178, 9179, 9175, 9174, 9186, 9187, 9191, 9190, 9188, 9189, 9140, 9141, 9138, 9139, 9142, 9143, 9164, 9165, 9167, 9166, 9162, 9163, 9078, 9079, 9082, 9083, 9080, 9081, 9068, 9069, 9070, 9071, 9066, 9067, 9203, 9202, 9198, 9199, 9201, 9200, 9121, 9120, 9123, 9122, 9124, 9125, 9061, 9060, 9063, 9062, 9064, 9065, 9135, 9134, 9137, 9136, 9132, 9133, 9057, 9056, 9059, 9058, 9055, 9054, 9072, 9073, 9074, 9075, 9076, 9077, 9126, 9127, 9130, 9131, 9128, 9129, 9205, 9204, 9208, 9209, 9207, 9206, 9092, 9093, 9094, 9095, 9090, 9091, 9109, 9108, 9112, 9113, 9111, 9110, 1502, 1503, 1500, 1501, 1504, 1505, 1519, 1518, 1522, 1523, 1520, 1521, 1357, 1356, 1358, 1359, 1361, 1360, 1486, 1487, 1485, 1484, 1483, 1482, 1445, 1444, 1443, 1442, 1440, 1441, 1475, 1474, 1470, 1471, 1472, 1473, 1346, 1347, 1344, 1345, 1349, 1348, 1426, 1427, 1425, 1424, 1422, 1423, 1447, 1446, 1449, 1448, 1451, 1450, 1412, 1413, 1414, 1415, 1410, 1411, 1431, 1430, 1429, 1428, 1433, 1432, 1455, 1454, 1453, 1452, 1457, 1456, 1479, 1478, 1477, 1476, 1481, 1480, 1371, 1370, 1369, 1368, 1373, 1372, 1435, 1434, 1436, 1437, 1439, 1438, 1468, 1469, 1467, 1466, 1464, 1465, 1507, 1506, 1511, 1510, 1509, 1508, 1367, 1366, 1363, 1362, 1365, 1364, 1461, 1460, 1462, 1463, 1458, 1459, 1376, 1377, 1378, 1379, 1375, 1374, 1496, 1497, 1495, 1494, 1499, 1498, 1524, 1525, 1529, 1528, 1527, 1526, 1398, 1399, 1403, 1402, 1401, 1400, 1489, 1488, 1492, 1493, 1491, 1490, 1421, 1420, 1417, 1416, 1419, 1418, 1350, 1351, 1352, 1353, 1354, 1355, 1380, 1381, 1382, 1383, 1384, 1385, 1515, 1514, 1517, 1516, 1513, 1512, 1405, 1404, 1408, 1409, 1407, 1406, 1534, 1535, 1533, 1532, 1530, 1531, 1389, 1388, 1387, 1386, 1390, 1391, 1392, 1393, 1397, 1396, 1395, 1394, 5040, 5041, 5043, 5042, 5044, 5045, 5152, 5153, 5148, 5149, 5150, 5151, 5018, 5019, 5016, 5017, 5020, 5021, 5129, 5128, 5126, 5127, 5125, 5124, 5098, 5099, 5097, 5096, 5094, 5095, 5115, 5114, 5113, 5112, 5116, 5117, 4994, 4995, 4992, 4993, 4997, 4996, 5049, 5048, 5050, 5051, 5047, 5046, 5067, 5066, 5068, 5069, 5064, 5065, 5001, 5000, 5002, 5003, 4999, 4998, 5100, 5101, 5103, 5102, 5105, 5104, 5086, 5087, 5085, 5084, 5082, 5083, 5155, 5154, 5159, 5158, 5156, 5157, 5177, 5176, 5172, 5173, 5175, 5174, 5166, 5167, 5168, 5169, 5170, 5171, 5119, 5118, 5120, 5121, 5123, 5122, 5142, 5143, 5145, 5144, 5147, 5146, 5108, 5109, 5111, 5110, 5107, 5106, 5034, 5035, 5037, 5036, 5039, 5038, 5088, 5089, 5090, 5091, 5093, 5092, 5178, 5179, 5180, 5181, 5182, 5183, 5130, 5131, 5133, 5132, 5134, 5135, 5027, 5026, 5023, 5022, 5025, 5024, 5079, 5078, 5077, 5076, 5080, 5081, 5032, 5033, 5030, 5031, 5028, 5029, 5161, 5160, 5165, 5164, 5162, 5163, 5071, 5070, 5073, 5072, 5074, 5075, 5015, 5014, 5011, 5010, 5013, 5012, 5138, 5139, 5136, 5137, 5140, 5141, 5005, 5004, 5009, 5008, 5007, 5006, 5061, 5060, 5062, 5063, 5058, 5059, 5055, 5054, 5057, 5056, 5053, 5052, 4830, 4831, 4834, 4835, 4833, 4832, 4963, 4962, 4965, 4964, 4966, 4967, 4814, 4815, 4813, 4812] +private def clayworthS_inv_c20 : Array (Fin 12096) := #[4816, 4817, 4809, 4808, 4810, 4811, 4806, 4807, 4927, 4926, 4931, 4930, 4928, 4929, 4890, 4891, 4895, 4894, 4892, 4893, 4917, 4916, 4914, 4915, 4919, 4918, 4899, 4898, 4901, 4900, 4897, 4896, 4800, 4801, 4803, 4802, 4804, 4805, 4855, 4854, 4856, 4857, 4858, 4859, 4865, 4864, 4862, 4863, 4861, 4860, 4889, 4888, 4884, 4885, 4886, 4887, 4979, 4978, 4974, 4975, 4977, 4976, 4872, 4873, 4876, 4877, 4874, 4875, 4990, 4991, 4987, 4986, 4989, 4988, 4842, 4843, 4847, 4846, 4845, 4844, 4906, 4907, 4902, 4903, 4905, 4904, 4921, 4920, 4923, 4922, 4924, 4925, 4944, 4945, 4949, 4948, 4947, 4946, 4938, 4939, 4942, 4943, 4940, 4941, 4852, 4853, 4848, 4849, 4850, 4851, 4960, 4961, 4956, 4957, 4958, 4959, 4819, 4818, 4823, 4822, 4820, 4821, 4973, 4972, 4968, 4969, 4970, 4971, 4880, 4881, 4878, 4879, 4882, 4883, 4911, 4910, 4912, 4913, 4908, 4909, 4952, 4953, 4954, 4955, 4951, 4950, 4867, 4866, 4869, 4868, 4871, 4870, 4937, 4936, 4932, 4933, 4935, 4934, 4827, 4826, 4829, 4828, 4825, 4824, 4984, 4985, 4982, 4983, 4981, 4980, 4839, 4838, 4841, 4840, 4837, 4836, 8862, 8863, 8864, 8865, 8867, 8866, 8988, 8989, 8992, 8993, 8990, 8991, 8836, 8837, 8833, 8832, 8835, 8834, 8962, 8963, 8960, 8961, 8959, 8958, 8908, 8909, 8907, 8906, 8905, 8904, 8943, 8942, 8944, 8945, 8941, 8940, 8922, 8923, 8925, 8924, 8927, 8926, 8884, 8885, 8880, 8881, 8882, 8883, 8921, 8920, 8916, 8917, 8919, 8918, 9008, 9009, 9010, 9011, 9006, 9007, 9019, 9018, 9020, 9021, 9023, 9022, 8869, 8868, 8873, 8872, 8870, 8871, 8952, 8953, 8954, 8955, 8956, 8957, 8976, 8977, 8979, 8978, 8980, 8981, 8970, 8971, 8974, 8975, 8973, 8972, 8931, 8930, 8933, 8932, 8928, 8929, 8845, 8844, 8847, 8846, 8849, 8848, 8878, 8879, 8877, 8876, 8875, 8874, 8965, 8964, 8969, 8968, 8966, 8967, 8951, 8950, 8949, 8948, 8946, 8947, 9005, 9004, 9001, 9000, 9003, 9002, 8912, 8913, 8910, 8911, 8914, 8915, 8938, 8939, 8935, 8934, 8937, 8936, 8860, 8861, 8859, 8858, 8856, 8857, 8983, 8982, 8984, 8985, 8987, 8986, 9012, 9013, 9017, 9016, 9014, 9015, 8886, 8887, 8889, 8888, 8891, 8890, 8900, 8901, 8898, 8899, 8902, 8903, 8839, 8838, 8843, 8842, 8840, 8841, 8852, 8853, 8850, 8851, 8854, 8855, 8994, 8995, 8996, 8997, 8998, 8999, 8895, 8894, 8893, 8892, 8896, 8897, 1194, 1195, 1196, 1197, 1198, 1199, 1331, 1330, 1326, 1327, 1329, 1328, 1178, 1179, 1177, 1176, 1181, 1180, 1165, 1164, 1169, 1168, 1167, 1166, 1288, 1289, 1285, 1284, 1286, 1287, 1245, 1244, 1242, 1243, 1246, 1247, 1253, 1252, 1250, 1251, 1248, 1249, 1274, 1275, 1277, 1276, 1272, 1273, 1157, 1156, 1153, 1152, 1155, 1154, 1335, 1334, 1336, 1337, 1333, 1332, 1200, 1201, 1203, 1202, 1204, 1205, 1263, 1262, 1265, 1264, 1260, 1261, 1160, 1161, 1158, 1159, 1163, 1162, 1312, 1313, 1309, 1308, 1310, 1311, 1303, 1302, 1305, 1304, 1307, 1306, 1256, 1257, 1258, 1259, 1255, 1254, 1236, 1237, 1239, 1238, 1240, 1241, 1281, 1280, 1283, 1282, 1279, 1278, 1318, 1319, 1314, 1315, 1317, 1316, 1232, 1233, 1235, 1234, 1230, 1231, 1270, 1271, 1267, 1266, 1268, 1269, 1193, 1192, 1190, 1191, 1188, 1189] +private def clayworthS_inv_c21 : Array (Fin 12096) := #[1187, 1186, 1185, 1184, 1182, 1183, 1224, 1225, 1226, 1227, 1228, 1229, 1206, 1207, 1210, 1211, 1209, 1208, 1301, 1300, 1299, 1298, 1297, 1296, 1170, 1171, 1172, 1173, 1174, 1175, 1223, 1222, 1219, 1218, 1221, 1220, 1293, 1292, 1294, 1295, 1291, 1290, 1320, 1321, 1322, 1323, 1325, 1324, 1213, 1212, 1216, 1217, 1214, 1215, 1341, 1340, 1343, 1342, 1338, 1339, 2779, 2778, 2781, 2780, 2783, 2782, 2849, 2848, 2847, 2846, 2845, 2844, 2708, 2709, 2707, 2706, 2711, 2710, 2789, 2788, 2785, 2784, 2786, 2787, 2793, 2792, 2790, 2791, 2794, 2795, 2689, 2688, 2692, 2693, 2691, 2690, 2814, 2815, 2818, 2819, 2817, 2816, 2699, 2698, 2697, 2696, 2695, 2694, 2856, 2857, 2858, 2859, 2860, 2861, 2875, 2874, 2878, 2879, 2877, 2876, 2758, 2759, 2757, 2756, 2754, 2755, 2768, 2769, 2767, 2766, 2771, 2770, 2735, 2734, 2730, 2731, 2732, 2733, 2804, 2805, 2806, 2807, 2802, 2803, 2826, 2827, 2828, 2829, 2831, 2830, 2798, 2799, 2800, 2801, 2796, 2797, 2720, 2721, 2718, 2719, 2722, 2723, 2740, 2741, 2736, 2737, 2738, 2739, 2835, 2834, 2837, 2836, 2832, 2833, 2823, 2822, 2824, 2825, 2820, 2821, 2712, 2713, 2716, 2717, 2714, 2715, 2855, 2854, 2850, 2851, 2853, 2852, 2775, 2774, 2772, 2773, 2777, 2776, 2812, 2813, 2811, 2810, 2809, 2808, 2863, 2862, 2866, 2867, 2864, 2865, 2748, 2749, 2751, 2750, 2753, 2752, 2700, 2701, 2704, 2705, 2702, 2703, 2761, 2760, 2763, 2762, 2765, 2764, 2726, 2727, 2724, 2725, 2728, 2729, 2841, 2840, 2843, 2842, 2838, 2839, 2868, 2869, 2872, 2873, 2870, 2871, 2745, 2744, 2747, 2746, 2742, 2743, 2353, 2352, 2355, 2354, 2356, 2357, 2382, 2383, 2384, 2385, 2386, 2387, 2307, 2306, 2308, 2309, 2304, 2305, 2461, 2460, 2465, 2464, 2462, 2463, 2324, 2325, 2326, 2327, 2323, 2322, 2398, 2399, 2394, 2395, 2397, 2396, 2311, 2310, 2312, 2313, 2315, 2314, 2380, 2381, 2379, 2378, 2377, 2376, 2424, 2425, 2428, 2429, 2426, 2427, 2403, 2402, 2405, 2404, 2401, 2400, 2392, 2393, 2388, 2389, 2390, 2391, 2372, 2373, 2374, 2375, 2370, 2371, 2484, 2485, 2486, 2487, 2488, 2489, 2363, 2362, 2361, 2360, 2358, 2359, 2414, 2415, 2413, 2412, 2417, 2416, 2319, 2318, 2320, 2321, 2316, 2317, 2456, 2457, 2458, 2459, 2454, 2455, 2409, 2408, 2411, 2410, 2406, 2407, 2366, 2367, 2368, 2369, 2364, 2365, 2490, 2491, 2495, 2494, 2492, 2493, 2438, 2439, 2440, 2441, 2436, 2437, 2434, 2435, 2432, 2433, 2431, 2430, 2466, 2467, 2469, 2468, 2471, 2470, 2332, 2333, 2330, 2331, 2328, 2329, 2423, 2422, 2418, 2419, 2420, 2421, 2344, 2345, 2343, 2342, 2341, 2340, 2337, 2336, 2338, 2339, 2334, 2335, 2476, 2477, 2472, 2473, 2475, 2474, 2450, 2451, 2448, 2449, 2452, 2453, 2446, 2447, 2442, 2443, 2444, 2445, 2350, 2351, 2348, 2349, 2346, 2347, 2479, 2478, 2482, 2483, 2481, 2480, 10272, 10273, 10274, 10275, 10277, 10276, 10181, 10180, 10177, 10176, 10179, 10178, 10338, 10339, 10342, 10343, 10340, 10341, 10344, 10345, 10349, 10348, 10346, 10347, 10324, 10325, 10321, 10320, 10323, 10322, 10310, 10311, 10309, 10308, 10313, 10312, 10287, 10286, 10285, 10284, 10289, 10288, 10234, 10235, 10230, 10231, 10233, 10232, 10253, 10252, 10251, 10250, 10248, 10249, 10296, 10297] +private def clayworthS_inv_c22 : Array (Fin 12096) := #[10301, 10300, 10299, 10298, 10350, 10351, 10355, 10354, 10353, 10352, 10247, 10246, 10245, 10244, 10242, 10243, 10260, 10261, 10265, 10264, 10262, 10263, 10218, 10219, 10220, 10221, 10223, 10222, 10185, 10184, 10186, 10187, 10183, 10182, 10315, 10314, 10317, 10316, 10319, 10318, 10332, 10333, 10337, 10336, 10335, 10334, 10293, 10292, 10294, 10295, 10291, 10290, 10278, 10279, 10281, 10280, 10283, 10282, 10227, 10226, 10228, 10229, 10224, 10225, 10307, 10306, 10304, 10305, 10303, 10302, 10269, 10268, 10267, 10266, 10271, 10270, 10205, 10204, 10203, 10202, 10200, 10201, 10359, 10358, 10356, 10357, 10360, 10361, 10257, 10256, 10255, 10254, 10259, 10258, 10195, 10194, 10199, 10198, 10197, 10196, 10328, 10329, 10326, 10327, 10330, 10331, 10189, 10188, 10192, 10193, 10190, 10191, 10207, 10206, 10208, 10209, 10211, 10210, 10236, 10237, 10241, 10240, 10239, 10238, 10365, 10364, 10363, 10362, 10367, 10366, 10213, 10212, 10217, 10216, 10214, 10215, 4489, 4488, 4491, 4490, 4493, 4492, 4418, 4419, 4420, 4421, 4417, 4416, 4560, 4561, 4564, 4565, 4563, 4562, 4511, 4510, 4507, 4506, 4509, 4508, 4425, 4424, 4422, 4423, 4426, 4427, 4451, 4450, 4446, 4447, 4448, 4449, 4474, 4475, 4472, 4473, 4470, 4471, 4524, 4525, 4528, 4529, 4526, 4527, 4457, 4456, 4453, 4452, 4455, 4454, 4496, 4497, 4498, 4499, 4494, 4495, 4578, 4579, 4582, 4583, 4580, 4581, 4601, 4600, 4599, 4598, 4597, 4596, 4485, 4484, 4482, 4483, 4487, 4486, 4590, 4591, 4593, 4592, 4594, 4595, 4514, 4515, 4512, 4513, 4516, 4517, 4532, 4533, 4534, 4535, 4530, 4531, 4554, 4555, 4556, 4557, 4558, 4559, 4440, 4441, 4443, 4442, 4445, 4444, 4500, 4501, 4504, 4505, 4502, 4503, 4537, 4536, 4539, 4538, 4541, 4540, 4567, 4566, 4570, 4571, 4569, 4568, 4522, 4523, 4519, 4518, 4521, 4520, 4479, 4478, 4476, 4477, 4480, 4481, 4458, 4459, 4462, 4463, 4460, 4461, 4552, 4553, 4550, 4551, 4548, 4549, 4434, 4435, 4439, 4438, 4437, 4436, 4467, 4466, 4464, 4465, 4468, 4469, 4545, 4544, 4546, 4547, 4543, 4542, 4430, 4431, 4433, 4432, 4428, 4429, 4577, 4576, 4572, 4573, 4575, 4574, 4586, 4587, 4585, 4584, 4588, 4589, 4607, 4606, 4605, 4604, 4603, 4602, 11238, 11239, 11241, 11240, 11243, 11242, 11292, 11293, 11296, 11297, 11295, 11294, 11307, 11306, 11308, 11309, 11304, 11305, 11265, 11264, 11263, 11262, 11266, 11267, 11254, 11255, 11251, 11250, 11252, 11253, 11137, 11136, 11139, 11138, 11141, 11140, 11200, 11201, 11198, 11199, 11196, 11197, 11230, 11231, 11228, 11229, 11227, 11226, 11146, 11147, 11145, 11144, 11143, 11142, 11249, 11248, 11244, 11245, 11246, 11247, 11326, 11327, 11325, 11324, 11323, 11322, 11316, 11317, 11319, 11318, 11321, 11320, 11187, 11186, 11188, 11189, 11184, 11185, 11256, 11257, 11259, 11258, 11261, 11260, 11150, 11151, 11153, 11152, 11148, 11149, 11282, 11283, 11280, 11281, 11284, 11285, 11275, 11274, 11278, 11279, 11277, 11276, 11162, 11163, 11161, 11160, 11164, 11165, 11195, 11194, 11190, 11191, 11192, 11193, 11172, 11173, 11176, 11177, 11174, 11175, 11289, 11288, 11291, 11290, 11286, 11287, 11156, 11157, 11159, 11158, 11155, 11154, 11310, 11311, 11313, 11312, 11315, 11314, 11235, 11234, 11233, 11232, 11237, 11236, 11209, 11208, 11210, 11211, 11213, 11212, 11270, 11271, 11269, 11268, 11273, 11272, 11220, 11221, 11225, 11224, 11222, 11223, 11180, 11181, 11182, 11183, 11178, 11179, 11167, 11166, 11169, 11168] +private def clayworthS_inv_c23 : Array (Fin 12096) := #[11170, 11171, 11303, 11302, 11299, 11298, 11301, 11300, 11214, 11215, 11219, 11218, 11216, 11217, 11203, 11202, 11204, 11205, 11207, 11206, 11971, 11970, 11975, 11974, 11972, 11973, 12012, 12013, 12014, 12015, 12016, 12017, 11907, 11906, 11908, 11909, 11904, 11905, 12077, 12076, 12075, 12074, 12073, 12072, 11947, 11946, 11948, 11949, 11951, 11950, 11928, 11929, 11932, 11933, 11931, 11930, 12032, 12033, 12031, 12030, 12035, 12034, 12039, 12038, 12037, 12036, 12040, 12041, 11910, 11911, 11913, 11912, 11915, 11914, 12045, 12044, 12043, 12042, 12047, 12046, 11921, 11920, 11919, 11918, 11917, 11916, 11993, 11992, 11989, 11988, 11990, 11991, 12021, 12020, 12022, 12023, 12018, 12019, 12090, 12091, 12095, 12094, 12092, 12093, 12000, 12001, 12004, 12005, 12002, 12003, 12007, 12006, 12009, 12008, 12011, 12010, 12089, 12088, 12084, 12085, 12086, 12087, 11923, 11922, 11927, 11926, 11925, 11924, 12062, 12063, 12060, 12061, 12065, 12064, 12057, 12056, 12054, 12055, 12059, 12058, 11960, 11961, 11959, 11958, 11962, 11963, 12024, 12025, 12026, 12027, 12028, 12029, 12050, 12051, 12053, 12052, 12048, 12049, 11953, 11952, 11955, 11954, 11956, 11957, 12082, 12083, 12080, 12081, 12078, 12079, 11967, 11966, 11968, 11969, 11964, 11965, 12068, 12069, 12066, 12067, 12071, 12070, 11944, 11945, 11943, 11942, 11940, 11941, 11936, 11937, 11939, 11938, 11935, 11934, 11997, 11996, 11995, 11994, 11999, 11998, 11981, 11980, 11976, 11977, 11978, 11979, 11983, 11982, 11984, 11985, 11986, 11987, 3122, 3123, 3120, 3121, 3124, 3125, 3074, 3075, 3077, 3076, 3072, 3073, 3239, 3238, 3236, 3237, 3234, 3235, 3091, 3090, 3093, 3092, 3095, 3094, 3174, 3175, 3178, 3179, 3177, 3176, 3201, 3200, 3203, 3202, 3198, 3199, 3190, 3191, 3188, 3189, 3186, 3187, 3139, 3138, 3141, 3140, 3143, 3142, 3182, 3183, 3181, 3180, 3185, 3184, 3146, 3147, 3149, 3148, 3145, 3144, 3246, 3247, 3250, 3251, 3248, 3249, 3165, 3164, 3167, 3166, 3163, 3162, 3129, 3128, 3130, 3131, 3126, 3127, 3080, 3081, 3083, 3082, 3079, 3078, 3206, 3207, 3205, 3204, 3208, 3209, 3226, 3227, 3222, 3223, 3224, 3225, 3195, 3194, 3196, 3197, 3192, 3193, 3110, 3111, 3109, 3108, 3113, 3112, 3171, 3170, 3169, 3168, 3172, 3173, 3135, 3134, 3137, 3136, 3133, 3132, 3252, 3253, 3255, 3254, 3256, 3257, 3210, 3211, 3215, 3214, 3212, 3213, 3100, 3101, 3097, 3096, 3099, 3098, 3118, 3119, 3116, 3117, 3114, 3115, 3229, 3228, 3232, 3233, 3230, 3231, 3105, 3104, 3107, 3106, 3102, 3103, 3150, 3151, 3155, 3154, 3152, 3153, 3220, 3221, 3216, 3217, 3218, 3219, 3087, 3086, 3085, 3084, 3088, 3089, 3159, 3158, 3161, 3160, 3157, 3156, 3241, 3240, 3244, 3245, 3243, 3242, 3262, 3263, 3260, 3261, 3259, 3258, 3889, 3888, 3893, 3892, 3891, 3890, 3936, 3937, 3938, 3939, 3940, 3941, 3844, 3845, 3842, 3843, 3840, 3841, 3992, 3993, 3990, 3991, 3995, 3994, 3996, 3997, 4000, 4001, 3999, 3998, 3858, 3859, 3860, 3861, 3863, 3862, 3971, 3970, 3968, 3969, 3967, 3966, 3948, 3949, 3953, 3952, 3950, 3951, 3965, 3964, 3961, 3960, 3963, 3962, 3848, 3849, 3846, 3847, 3850, 3851, 3927, 3926, 3929, 3928, 3925, 3924, 3856, 3857, 3854, 3855, 3853, 3852, 3958, 3959, 3956, 3957, 3955, 3954, 4024, 4025, 4022, 4023, 4020, 4021, 3913, 3912, 3914, 3915, 3917, 3916, 4018, 4019, 4015, 4014, 4016, 4017] +private def clayworthS_inv_c24 : Array (Fin 12096) := #[3899, 3898, 3894, 3895, 3896, 3897, 3987, 3986, 3985, 3984, 3989, 3988, 3876, 3877, 3879, 3878, 3881, 3880, 3942, 3943, 3944, 3945, 3946, 3947, 3905, 3904, 3900, 3901, 3902, 3903, 3865, 3864, 3866, 3867, 3869, 3868, 3975, 3974, 3977, 3976, 3972, 3973, 4003, 4002, 4004, 4005, 4006, 4007, 3933, 3932, 3935, 3934, 3931, 3930, 3909, 3908, 3906, 3907, 3910, 3911, 3981, 3980, 3978, 3979, 3983, 3982, 3873, 3872, 3874, 3875, 3871, 3870, 3923, 3922, 3919, 3918, 3921, 3920, 3885, 3884, 3886, 3887, 3883, 3882, 4009, 4008, 4011, 4010, 4012, 4013, 4030, 4031, 4028, 4029, 4027, 4026] + +private def clayworthS_inv : Array (Fin 12096) := + clayworthS_inv_c0 ++ clayworthS_inv_c1 ++ clayworthS_inv_c2 ++ clayworthS_inv_c3 ++ clayworthS_inv_c4 ++ clayworthS_inv_c5 ++ clayworthS_inv_c6 ++ clayworthS_inv_c7 ++ clayworthS_inv_c8 ++ clayworthS_inv_c9 ++ clayworthS_inv_c10 ++ clayworthS_inv_c11 ++ clayworthS_inv_c12 ++ clayworthS_inv_c13 ++ clayworthS_inv_c14 ++ clayworthS_inv_c15 ++ clayworthS_inv_c16 ++ clayworthS_inv_c17 ++ clayworthS_inv_c18 ++ clayworthS_inv_c19 ++ clayworthS_inv_c20 ++ clayworthS_inv_c21 ++ clayworthS_inv_c22 ++ clayworthS_inv_c23 ++ clayworthS_inv_c24 + +private theorem clayworthR_fwd_size : clayworthR_fwd.size = 12096 := by native_decide +private theorem clayworthR_inv_size : clayworthR_inv.size = 12096 := by native_decide +private theorem clayworthS_fwd_size : clayworthS_fwd.size = 12096 := by native_decide +private theorem clayworthS_inv_size : clayworthS_inv.size = 12096 := by native_decide + +/-! ## Coset projection maps -/ + +private def clayworthVertexOf_data_c0 : Array (Fin 4032) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 148, 149, 146, 147, 144, 145, 164, 165, 163, 162, 167, 166, 24, 25, 27, 26, 29, 28, 14, 15, 12, 13, 17, 16, 123, 122, 124, 125, 121, 120, 2, 3, 0, 1, 5, 4, 82, 83, 79, 78, 80, 81, 117, 116, 115, 114, 119, 118, 65, 64, 61, 60, 62, 63, 99, 98, 101, 100, 97, 96, 171, 170, 172, 173, 169, 168, 178, 179, 177, 176, 174, 175, 74, 75, 76, 77, 72, 73, 84, 85, 86, 87, 88, 89, 47, 46, 44, 45, 43, 42, 9, 8, 10, 11, 6, 7, 138, 139, 143, 142, 140, 141, 110, 111, 112, 113, 108, 109, 105, 104, 102, 103, 107, 106, 50, 51] +private def clayworthVertexOf_data_c1 : Array (Fin 4032) := #[52, 53, 49, 48, 21, 20, 22, 23, 18, 19, 185, 184, 181, 180, 183, 182, 128, 129, 131, 130, 126, 127, 151, 150, 153, 152, 154, 155, 92, 93, 94, 95, 90, 91, 135, 134, 132, 133, 136, 137, 35, 34, 30, 31, 32, 33, 159, 158, 157, 156, 161, 160, 68, 69, 70, 71, 67, 66, 191, 190, 188, 189, 186, 187, 36, 37, 40, 41, 39, 38, 56, 57, 58, 59, 54, 55, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807] +private def clayworthVertexOf_data_c2 : Array (Fin 4032) := #[808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 578, 579, 581, 580, 576, 577, 730, 731, 728, 729, 727, 726, 739, 738, 742, 743, 740, 741, 691, 690, 694, 695, 692, 693, 667, 666, 671, 670, 668, 669, 677, 676, 674, 675, 672, 673, 646, 647, 645, 644, 642, 643, 586, 587, 583, 582, 585, 584, 628, 629, 624, 625, 626, 627, 655, 654, 657, 656, 659, 658, 760, 761, 756, 757, 758, 759, 588, 589, 592, 593, 591, 590, 717, 716, 715, 714, 719, 718, 681, 680, 683, 682, 678, 679, 616, 617, 613, 612, 614, 615, 595, 594, 596, 597, 599, 598, 696, 697, 699, 698, 701, 700, 689, 688, 686, 687, 684, 685, 733, 732, 735, 734, 736, 737, 607, 606, 610, 611, 609, 608, 749, 748, 745, 744, 746, 747, 663, 662, 665, 664, 661, 660, 720, 721, 722, 723, 724, 725, 755, 754, 751, 750, 753, 752, 653, 652, 649, 648, 650, 651, 633, 632, 630, 631, 635, 634, 710, 711, 713, 712, 708, 709, 640, 641, 636, 637, 639, 638, 705, 704, 703, 702, 706, 707, 603, 602, 605, 604, 601, 600, 764, 765, 767, 766, 762, 763, 620, 621, 622, 623, 619, 618, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115] +private def clayworthVertexOf_data_c3 : Array (Fin 4032) := #[1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 775, 774, 777, 776, 778, 779, 798, 799, 800, 801, 802, 803, 930, 931, 933, 932, 935, 934, 915, 914, 912, 913, 917, 916, 865, 864, 867, 866, 869, 868, 904, 905, 903, 902, 901, 900, 849, 848, 847, 846, 851, 850, 944, 945, 947, 946, 942, 943, 892, 893, 890, 891, 889, 888, 938, 939, 937, 936, 941, 940, 769, 768, 770, 771, 773, 772, 957, 956, 955, 954, 959, 958, 831, 830, 829, 828, 833, 832, 825, 824, 822, 823, 827, 826, 929, 928, 924, 925, 926, 927, 920, 921, 922, 923, 918, 919, 807, 806, 809, 808, 805, 804, 906, 907, 909, 908, 911, 910, 881, 880, 877, 876, 879, 878, 794, 795, 793, 792, 797, 796, 844, 845, 840, 841, 843, 842, 887, 886, 883, 882, 884, 885, 838, 839, 834, 835, 836, 837, 897, 896, 895, 894, 898, 899, 782, 783, 781, 780, 784, 785, 859, 858, 860, 861, 863, 862, 789, 788, 791, 790, 787, 786, 872, 873, 874, 875, 871, 870, 811, 810, 813, 812, 815, 814, 818, 819, 820, 821, 816, 817, 852, 853, 857, 856, 855, 854, 953, 952, 948, 949, 951, 950, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423] +private def clayworthVertexOf_data_c4 : Array (Fin 4032) := #[1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 196, 197, 194, 195, 193, 192, 212, 213, 210, 211, 214, 215, 335, 334, 331, 330, 333, 332, 299, 298, 296, 297, 295, 294, 329, 328, 325, 324, 326, 327, 308, 309, 311, 310, 306, 307, 273, 272, 275, 274, 271, 270, 318, 319, 323, 322, 321, 320, 304, 305, 303, 302, 301, 300, 250, 251, 248, 249, 247, 246, 291, 290, 293, 292, 289, 288, 348, 349, 351, 350, 352, 353, 377, 376, 374, 375, 373, 372, 277, 276, 279, 278, 280, 281, 366, 367, 368, 369, 370, 371, 202, 203, 198, 199, 200, 201, 347, 346, 345, 344, 342, 343, 284, 285, 286, 287, 283, 282, 316, 317, 315, 314, 313, 312, 228, 229, 232, 233, 231, 230, 218, 219, 221, 220, 216, 217, 358, 359, 355, 354, 357, 356, 339, 338, 337, 336, 340, 341, 208, 209, 204, 205, 207, 206, 268, 269, 266, 267, 265, 264, 260, 261, 263, 262, 258, 259, 236, 237, 239, 238, 235, 234, 227, 226, 222, 223, 225, 224, 254, 255, 252, 253, 257, 256, 361, 360, 365, 364, 363, 362, 383, 382, 380, 381, 379, 378, 240, 241, 244, 245, 242, 243, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731] +private def clayworthVertexOf_data_c5 : Array (Fin 4032) := #[1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 162, 163, 166, 167, 164, 165, 21, 20, 18, 19, 23, 22, 130, 131, 129, 128, 127, 126, 172, 173, 169, 168, 171, 170, 184, 185, 180, 181, 182, 183, 72, 73, 76, 77, 74, 75, 107, 106, 103, 102, 105, 104, 33, 32, 34, 35, 31, 30, 191, 190, 187, 186, 189, 188, 47, 46, 43, 42, 44, 45, 60, 61, 62, 63, 64, 65, 150, 151, 152, 153, 155, 154, 147, 146, 148, 149, 144, 145, 132, 133, 134, 135, 136, 137, 0, 1, 2, 3, 5, 4, 51, 50, 52, 53, 48, 49, 96, 97, 99, 98, 100, 101, 24, 25, 29, 28, 27, 26, 36, 37, 39, 38, 41, 40, 94, 95, 91, 90, 93, 92] +private def clayworthVertexOf_data_c6 : Array (Fin 4032) := #[121, 120, 123, 122, 124, 125, 113, 112, 109, 108, 111, 110, 81, 80, 79, 78, 82, 83, 158, 159, 160, 161, 157, 156, 143, 142, 141, 140, 139, 138, 86, 87, 84, 85, 88, 89, 6, 7, 11, 10, 8, 9, 15, 14, 16, 17, 13, 12, 114, 115, 116, 117, 118, 119, 69, 68, 71, 70, 67, 66, 59, 58, 55, 54, 57, 56, 178, 179, 177, 176, 175, 174, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539] +private def clayworthVertexOf_data_c7 : Array (Fin 4032) := #[2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 1586, 1587, 1588, 1589, 1584, 1585, 1627, 1626, 1631, 1630, 1628, 1629, 1651, 1650, 1655, 1654, 1652, 1653, 1673, 1672, 1671, 1670, 1668, 1669, 1614, 1615, 1618, 1619, 1617, 1616, 1538, 1539, 1537, 1536, 1541, 1540, 1727, 1726, 1723, 1722, 1725, 1724, 1603, 1602, 1606, 1607, 1604, 1605, 1595, 1594, 1590, 1591, 1593, 1592, 1714, 1715, 1713, 1712, 1710, 1711, 1699, 1698, 1700, 1701, 1702, 1703, 1695, 1694, 1697, 1696, 1692, 1693, 1576, 1577, 1575, 1574, 1572, 1573, 1683, 1682, 1680, 1681, 1685, 1684, 1665, 1664, 1663, 1662, 1667, 1666, 1543, 1542, 1545, 1544, 1546, 1547, 1601, 1600, 1598, 1599, 1596, 1597, 1621, 1620, 1622, 1623, 1625, 1624, 1555, 1554, 1559, 1558, 1557, 1556, 1569, 1568, 1570, 1571, 1566, 1567, 1578, 1579, 1581, 1580, 1583, 1582, 1643, 1642, 1641, 1640, 1638, 1639, 1562, 1563, 1560, 1561, 1565, 1564, 1609, 1608, 1611, 1610, 1612, 1613, 1688, 1689, 1691, 1690, 1686, 1687, 1549, 1548, 1553, 1552, 1551, 1550, 1645, 1644, 1648, 1649, 1647, 1646, 1704, 1705, 1708, 1709, 1707, 1706, 1660, 1661, 1658, 1659, 1656, 1657, 1674, 1675, 1679, 1678, 1677, 1676, 1718, 1719, 1716, 1717, 1720, 1721, 1633, 1632, 1635, 1634, 1637, 1636, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847] +private def clayworthVertexOf_data_c8 : Array (Fin 4032) := #[2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2314, 2315, 2313, 2312, 2311, 2310, 2329, 2328, 2330, 2331, 2332, 2333, 2352, 2353, 2356, 2357, 2354, 2355, 2318, 2319, 2320, 2321, 2316, 2317, 2418, 2419, 2422, 2423, 2420, 2421, 2434, 2435, 2432, 2433, 2430, 2431, 2305, 2304, 2308, 2309, 2307, 2306, 2495, 2494, 2490, 2491, 2493, 2492, 2394, 2395, 2398, 2399, 2396, 2397, 2335, 2334, 2336, 2337, 2339, 2338, 2457, 2456, 2455, 2454, 2458, 2459, 2481, 2480, 2479, 2478, 2483, 2482, 2384, 2385, 2386, 2387, 2382, 2383, 2471, 2470, 2467, 2466, 2468, 2469, 2344, 2345, 2342, 2343, 2340, 2341, 2453, 2452, 2449, 2448, 2451, 2450, 2390, 2391, 2389, 2388, 2392, 2393, 2368, 2369, 2365, 2364, 2367, 2366, 2322, 2323, 2326, 2327, 2324, 2325, 2361, 2360, 2359, 2358, 2363, 2362, 2416, 2417, 2413, 2412, 2414, 2415, 2401, 2400, 2402, 2403, 2404, 2405, 2348, 2349, 2346, 2347, 2350, 2351, 2408, 2409, 2406, 2407, 2411, 2410, 2474, 2475, 2472, 2473, 2476, 2477, 2464, 2465, 2463, 2462, 2460, 2461, 2441, 2440, 2437, 2436, 2439, 2438, 2426, 2427, 2428, 2429, 2424, 2425, 2372, 2373, 2374, 2375, 2371, 2370, 2445, 2444, 2446, 2447, 2443, 2442, 2380, 2381, 2379, 2378, 2376, 2377, 2489, 2488, 2487, 2486, 2484, 2485, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155] +private def clayworthVertexOf_data_c9 : Array (Fin 4032) := #[3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 2354, 2355, 2352, 2353, 2356, 2357, 2305, 2304, 2307, 2306, 2308, 2309, 2325, 2324, 2327, 2326, 2323, 2322, 2441, 2440, 2439, 2438, 2437, 2436, 2419, 2418, 2423, 2422, 2420, 2421, 2374, 2375, 2371, 2370, 2372, 2373, 2410, 2411, 2406, 2407, 2408, 2409, 2424, 2425, 2429, 2428, 2426, 2427, 2313, 2312, 2314, 2315, 2311, 2310, 2386, 2387, 2384, 2385, 2382, 2383, 2488, 2489, 2486, 2487, 2484, 2485, 2396, 2397, 2398, 2399, 2394, 2395, 2430, 2431, 2433, 2432, 2435, 2434, 2460, 2461, 2465, 2464, 2463, 2462, 2455, 2454, 2457, 2456, 2458, 2459, 2328, 2329, 2331, 2330, 2333, 2332, 2369, 2368, 2365, 2364, 2367, 2366, 2491, 2490, 2495, 2494, 2492, 2493, 2470, 2471, 2466, 2467, 2469, 2468, 2414, 2415, 2412, 2413, 2417, 2416, 2343, 2342, 2344, 2345, 2341, 2340, 2388, 2389, 2391, 2390, 2393, 2392, 2452, 2453, 2450, 2451, 2449, 2448, 2403, 2402, 2405, 2404, 2400, 2401, 2444, 2445, 2447, 2446, 2443, 2442, 2316, 2317, 2320, 2321, 2319, 2318, 2348, 2349, 2346, 2347, 2351, 2350, 2335, 2334, 2336, 2337, 2339, 2338, 2472, 2473, 2474, 2475, 2477, 2476, 2478, 2479, 2482, 2483, 2481, 2480, 2360, 2361, 2363, 2362, 2358, 2359, 2376, 2377, 2379, 2378, 2380, 2381, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 450, 451, 452, 453, 455, 454, 388, 389] +private def clayworthVertexOf_data_c10 : Array (Fin 4032) := #[385, 384, 386, 387, 404, 405, 407, 406, 402, 403, 508, 509, 506, 507, 505, 504, 462, 463, 467, 466, 465, 464, 494, 495, 497, 496, 492, 493, 473, 472, 470, 471, 468, 469, 390, 391, 392, 393, 394, 395, 400, 401, 399, 398, 396, 397, 536, 537, 539, 538, 535, 534, 560, 561, 562, 563, 558, 559, 554, 555, 557, 556, 553, 552, 501, 500, 502, 503, 499, 498, 520, 521, 517, 516, 518, 519, 477, 476, 478, 479, 474, 475, 456, 457, 458, 459, 461, 460, 446, 447, 448, 449, 445, 444, 408, 409, 412, 413, 410, 411, 567, 566, 565, 564, 569, 568, 489, 488, 491, 490, 486, 487, 484, 485, 483, 482, 480, 481, 436, 437, 434, 435, 432, 433, 523, 522, 524, 525, 527, 526, 422, 423, 424, 425, 420, 421, 544, 545, 540, 541, 542, 543, 513, 512, 510, 511, 514, 515, 416, 417, 419, 418, 414, 415, 430, 431, 427, 426, 428, 429, 531, 530, 528, 529, 533, 532, 546, 547, 550, 551, 549, 548, 575, 574, 573, 572, 571, 570, 443, 442, 438, 439, 441, 440, 1738, 1739, 1735, 1734, 1736, 1737, 1785, 1784, 1783, 1782, 1787, 1786, 1753, 1752, 1754, 1755, 1756, 1757, 1876, 1877, 1873, 1872, 1874, 1875, 1751, 1750, 1747, 1746, 1749, 1748, 1891, 1890, 1892, 1893, 1895, 1894, 1814, 1815, 1812, 1813, 1816, 1817, 1793, 1792, 1790, 1791, 1788, 1789, 1919, 1918, 1915, 1914, 1917, 1916, 1802, 1803, 1804, 1805, 1800, 1801, 1867, 1866, 1868, 1869, 1871, 1870, 1906, 1907, 1904, 1905, 1902, 1903, 1809, 1808, 1806, 1807, 1811, 1810, 1881, 1880, 1882, 1883, 1878, 1879, 1862, 1863, 1860, 1861, 1865, 1864, 1728, 1729, 1731, 1730, 1732, 1733, 1769, 1768, 1766, 1767, 1765, 1764, 1798, 1799, 1797, 1796, 1795, 1794, 1779, 1778, 1776, 1777, 1780, 1781, 1828, 1829, 1825, 1824, 1826, 1827, 1772, 1773, 1770, 1771, 1774, 1775, 1761, 1760, 1762, 1763, 1758, 1759, 1885, 1884, 1887, 1886, 1888, 1889, 1819, 1818, 1823, 1822, 1820, 1821, 1852, 1853, 1849, 1848, 1851, 1850, 1741, 1740, 1744, 1745, 1743, 1742, 1836, 1837, 1839, 1838, 1841, 1840, 1899, 1898, 1901, 1900, 1896, 1897, 1844, 1845, 1847, 1846, 1842, 1843, 1856, 1857, 1859, 1858, 1855, 1854, 1912, 1913, 1909, 1908, 1910, 1911, 1832, 1833, 1834, 1835, 1830, 1831, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579] +private def clayworthVertexOf_data_c11 : Array (Fin 4032) := #[3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 2884, 2885, 2882, 2883, 2880, 2881, 2912, 2913, 2911, 2910, 2915, 2914, 2893, 2892, 2895, 2894, 2897, 2896, 3035, 3034, 3031, 3030, 3033, 3032, 3004, 3005, 3000, 3001, 3002, 3003, 3011, 3010, 3006, 3007, 3008, 3009, 3046, 3047, 3045, 3044, 3043, 3042, 3069, 3068, 3067, 3066, 3071, 3070, 2973, 2972, 2970, 2971, 2975, 2974, 2933, 2932, 2930, 2931, 2928, 2929, 3025, 3024, 3028, 3029, 3027, 3026, 3059, 3058, 3055, 3054, 3056, 3057, 2950, 2951, 2948, 2949, 2946, 2947, 3038, 3039, 3040, 3041, 3036, 3037, 3021, 3020, 3022, 3023, 3018, 3019, 2938, 2939, 2934, 2935, 2937, 2936, 2925, 2924, 2922, 2923, 2926, 2927, 2906, 2907, 2904, 2905, 2908, 2909, 2919, 2918, 2917, 2916, 2920, 2921, 2992, 2993, 2988, 2989, 2990, 2991, 2961, 2960, 2959, 2958, 2963, 2962, 2899, 2898, 2902, 2903, 2901, 2900, 2982, 2983, 2984, 2985, 2987, 2986, 2966, 2967, 2964, 2965, 2968, 2969, 2997, 2996, 2998, 2999, 2994, 2995, 3052, 3053, 3049, 3048, 3050, 3051, 2886, 2887, 2891, 2890, 2888, 2889, 3014, 3015, 3012, 3013, 3016, 3017, 2955, 2954, 2956, 2957, 2953, 2952, 2941, 2940, 2945, 2944, 2943, 2942, 2981, 2980, 2977, 2976, 2979, 2978, 3065, 3064, 3063, 3062, 3061, 3060, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 266, 267, 268, 269, 265, 264, 294, 295, 298, 299, 297, 296, 312, 313, 316, 317, 314, 315, 352, 353, 348, 349, 350, 351, 347, 346, 345, 344, 343, 342, 194, 195, 193, 192, 196, 197, 227, 226, 224, 225, 223, 222, 382, 383, 378, 379, 380, 381] +private def clayworthVertexOf_data_c12 : Array (Fin 4032) := #[365, 364, 363, 362, 361, 360, 247, 246, 251, 250, 249, 248, 232, 233, 231, 230, 228, 229, 339, 338, 337, 336, 340, 341, 288, 289, 290, 291, 292, 293, 210, 211, 213, 212, 215, 214, 218, 219, 216, 217, 221, 220, 287, 286, 282, 283, 285, 284, 260, 261, 259, 258, 263, 262, 329, 328, 325, 324, 327, 326, 234, 235, 238, 239, 237, 236, 274, 275, 270, 271, 272, 273, 209, 208, 207, 206, 205, 204, 307, 306, 309, 308, 310, 311, 278, 279, 276, 277, 281, 280, 330, 331, 334, 335, 332, 333, 199, 198, 203, 202, 200, 201, 354, 355, 359, 358, 356, 357, 323, 322, 321, 320, 318, 319, 369, 368, 367, 366, 370, 371, 254, 255, 256, 257, 252, 253, 243, 242, 244, 245, 240, 241, 301, 300, 305, 304, 302, 303, 376, 377, 374, 375, 372, 373, 2507, 2506, 2505, 2504, 2503, 2502, 2527, 2526, 2529, 2528, 2531, 2530, 2548, 2549, 2544, 2545, 2547, 2546, 2619, 2618, 2621, 2620, 2617, 2616, 2668, 2669, 2664, 2665, 2666, 2667, 2496, 2497, 2498, 2499, 2501, 2500, 2603, 2602, 2600, 2601, 2599, 2598, 2534, 2535, 2536, 2537, 2533, 2532, 2558, 2559, 2561, 2560, 2557, 2556, 2674, 2675, 2670, 2671, 2672, 2673, 2655, 2654, 2656, 2657, 2652, 2653, 2649, 2648, 2650, 2651, 2646, 2647, 2570, 2571, 2568, 2569, 2573, 2572, 2627, 2626, 2622, 2623, 2625, 2624, 2592, 2593, 2595, 2594, 2596, 2597, 2555, 2554, 2550, 2551, 2552, 2553, 2576, 2577, 2578, 2579, 2574, 2575, 2631, 2630, 2633, 2632, 2629, 2628, 2539, 2538, 2543, 2542, 2541, 2540, 2614, 2615, 2610, 2611, 2612, 2613, 2524, 2525, 2521, 2520, 2522, 2523, 2660, 2661, 2659, 2658, 2663, 2662, 2587, 2586, 2591, 2590, 2589, 2588, 2581, 2580, 2584, 2585, 2582, 2583, 2638, 2639, 2634, 2635, 2637, 2636, 2508, 2509, 2512, 2513, 2510, 2511, 2518, 2519, 2514, 2515, 2516, 2517, 2642, 2643, 2644, 2645, 2640, 2641, 2678, 2679, 2676, 2677, 2681, 2680, 2562, 2563, 2566, 2567, 2565, 2564, 2604, 2605, 2607, 2606, 2609, 2608, 2686, 2687, 2685, 2684, 2682, 2683, 2545, 2544, 2547, 2546, 2549, 2548, 2499, 2498, 2500, 2501, 2496, 2497, 2647, 2646, 2650, 2651, 2649, 2648, 2516, 2517, 2518, 2519, 2515, 2514, 2639, 2638, 2636, 2637, 2634, 2635, 2630, 2631, 2629, 2628, 2633, 2632, 2504, 2505, 2507, 2506, 2503, 2502, 2606, 2607, 2609, 2608, 2605, 2604, 2596, 2597, 2593, 2592, 2595, 2594, 2666, 2667, 2669, 2668, 2665, 2664, 2682, 2683, 2686, 2687, 2685, 2684, 2586, 2587, 2589, 2588, 2591, 2590, 2681, 2680, 2676, 2677, 2678, 2679, 2559, 2558, 2561, 2560, 2557, 2556, 2510, 2511, 2513, 2512, 2508, 2509, 2613, 2612, 2615, 2614, 2610, 2611, 2527, 2526, 2529, 2528, 2531, 2530, 2599, 2598, 2600, 2601, 2602, 2603, 2624, 2625, 2626, 2627, 2622, 2623, 2653, 2652, 2654, 2655, 2657, 2656, 2522, 2523, 2524, 2525, 2521, 2520, 2617, 2616, 2618, 2619, 2620, 2621, 2581, 2580, 2582, 2583, 2585, 2584, 2568, 2569, 2571, 2570, 2572, 2573, 2578, 2579, 2574, 2575, 2576, 2577, 2643, 2642, 2640, 2641, 2645, 2644, 2540, 2541, 2542, 2543, 2538, 2539, 2534, 2535] +private def clayworthVertexOf_data_c13 : Array (Fin 4032) := #[2532, 2533, 2536, 2537, 2658, 2659, 2662, 2663, 2661, 2660, 2671, 2670, 2672, 2673, 2674, 2675, 2555, 2554, 2551, 2550, 2553, 2552, 2565, 2564, 2566, 2567, 2562, 2563, 847, 846, 848, 849, 850, 851, 773, 772, 770, 771, 768, 769, 922, 923, 921, 920, 919, 918, 931, 930, 934, 935, 933, 932, 789, 788, 786, 787, 791, 790, 899, 898, 897, 896, 894, 895, 885, 884, 883, 882, 887, 886, 815, 814, 810, 811, 813, 812, 873, 872, 875, 874, 871, 870, 774, 775, 778, 779, 776, 777, 855, 854, 853, 852, 857, 856, 826, 827, 824, 825, 822, 823, 946, 947, 943, 942, 945, 944, 951, 950, 953, 952, 949, 948, 833, 832, 829, 828, 831, 830, 858, 859, 860, 861, 863, 862, 784, 785, 780, 781, 782, 783, 889, 888, 891, 890, 893, 892, 799, 798, 801, 800, 802, 803, 956, 957, 954, 955, 958, 959, 900, 901, 902, 903, 904, 905, 878, 879, 880, 881, 876, 877, 924, 925, 929, 928, 926, 927, 938, 939, 937, 936, 941, 940, 842, 843, 841, 840, 844, 845, 867, 866, 868, 869, 865, 864, 808, 809, 807, 806, 804, 805, 913, 912, 916, 917, 914, 915, 797, 796, 795, 794, 793, 792, 834, 835, 836, 837, 838, 839, 908, 909, 907, 906, 911, 910, 817, 816, 821, 820, 818, 819, 2151, 2150, 2148, 2149, 2153, 2152, 2161, 2160, 2165, 2164, 2163, 2162, 2215, 2214, 2219, 2218, 2217, 2216, 2271, 2270, 2273, 2272, 2269, 2268, 2254, 2255, 2250, 2251, 2253, 2252, 2289, 2288, 2287, 2286, 2291, 2290, 2248, 2249, 2246, 2247, 2245, 2244, 2113, 2112, 2114, 2115, 2117, 2116, 2295, 2294, 2292, 2293, 2297, 2296, 2213, 2212, 2208, 2209, 2211, 2210, 2299, 2298, 2302, 2303, 2300, 2301, 2171, 2170, 2169, 2168, 2167, 2166, 2263, 2262, 2265, 2264, 2267, 2266, 2185, 2184, 2188, 2189, 2187, 2186, 2277, 2276, 2278, 2279, 2275, 2274, 2159, 2158, 2156, 2157, 2155, 2154, 2256, 2257, 2258, 2259, 2260, 2261, 2194, 2195, 2190, 2191, 2193, 2192, 2174, 2175, 2176, 2177, 2173, 2172, 2131, 2130, 2135, 2134, 2133, 2132, 2144, 2145, 2142, 2143, 2147, 2146, 2197, 2196, 2198, 2199, 2201, 2200, 2238, 2239, 2240, 2241, 2242, 2243, 2237, 2236, 2235, 2234, 2232, 2233, 2138, 2139, 2137, 2136, 2141, 2140, 2127, 2126, 2129, 2128, 2125, 2124, 2227, 2226, 2229, 2228, 2230, 2231, 2283, 2282, 2280, 2281, 2285, 2284, 2205, 2204, 2207, 2206, 2203, 2202, 2119, 2118, 2123, 2122, 2120, 2121, 2179, 2178, 2181, 2180, 2182, 2183, 2221, 2220, 2222, 2223, 2224, 2225, 1374, 1375, 1378, 1379, 1377, 1376, 1397, 1396, 1395, 1394, 1393, 1392, 1417, 1416, 1420, 1421, 1418, 1419, 1367, 1366, 1362, 1363, 1364, 1365, 1494, 1495, 1498, 1499, 1497, 1496, 1358, 1359, 1357, 1356, 1361, 1360, 1474, 1475, 1473, 1472, 1470, 1471, 1503, 1502, 1500, 1501, 1504, 1505, 1532, 1533, 1530, 1531, 1534, 1535, 1382, 1383, 1384, 1385, 1381, 1380, 1482, 1483, 1486, 1487, 1485, 1484, 1517, 1516, 1515, 1514, 1513, 1512, 1489, 1488, 1491, 1490, 1493, 1492, 1391, 1390, 1388, 1389, 1386, 1387, 1478, 1479, 1476, 1477] +private def clayworthVertexOf_data_c14 : Array (Fin 4032) := #[1480, 1481, 1414, 1415, 1410, 1411, 1412, 1413, 1462, 1463, 1458, 1459, 1460, 1461, 1344, 1345, 1346, 1347, 1349, 1348, 1370, 1371, 1369, 1368, 1373, 1372, 1398, 1399, 1403, 1402, 1400, 1401, 1469, 1468, 1464, 1465, 1467, 1466, 1450, 1451, 1448, 1449, 1447, 1446, 1441, 1440, 1443, 1442, 1444, 1445, 1431, 1430, 1432, 1433, 1428, 1429, 1425, 1424, 1426, 1427, 1423, 1422, 1350, 1351, 1354, 1355, 1353, 1352, 1509, 1508, 1511, 1510, 1507, 1506, 1456, 1457, 1454, 1455, 1452, 1453, 1407, 1406, 1409, 1408, 1404, 1405, 1522, 1523, 1519, 1518, 1520, 1521, 1439, 1438, 1434, 1435, 1437, 1436, 1529, 1528, 1524, 1525, 1527, 1526, 3662, 3663, 3664, 3665, 3660, 3661, 3737, 3736, 3734, 3735, 3732, 3733, 3681, 3680, 3683, 3682, 3678, 3679, 3811, 3810, 3812, 3813, 3814, 3815, 3674, 3675, 3672, 3673, 3677, 3676, 3757, 3756, 3760, 3761, 3758, 3759, 3778, 3779, 3776, 3777, 3774, 3775, 3824, 3825, 3823, 3822, 3827, 3826, 3816, 3817, 3818, 3819, 3820, 3821, 3649, 3648, 3651, 3650, 3652, 3653, 3834, 3835, 3838, 3839, 3837, 3836, 3748, 3749, 3745, 3744, 3747, 3746, 3711, 3710, 3712, 3713, 3708, 3709, 3793, 3792, 3795, 3794, 3797, 3796, 3800, 3801, 3803, 3802, 3799, 3798, 3700, 3701, 3698, 3699, 3697, 3696, 3787, 3786, 3789, 3788, 3791, 3790, 3655, 3654, 3656, 3657, 3659, 3658, 3741, 3740, 3739, 3738, 3742, 3743, 3687, 3686, 3689, 3688, 3685, 3684, 3729, 3728, 3727, 3726, 3730, 3731, 3703, 3702, 3705, 3704, 3707, 3706, 3693, 3692, 3691, 3690, 3694, 3695, 3750, 3751, 3752, 3753, 3754, 3755, 3805, 3804, 3806, 3807, 3809, 3808, 3768, 3769, 3770, 3771, 3773, 3772, 3828, 3829, 3833, 3832, 3831, 3830, 3668, 3669, 3670, 3671, 3666, 3667, 3764, 3765, 3766, 3767, 3762, 3763, 3719, 3718, 3715, 3714, 3716, 3717, 3782, 3783, 3785, 3784, 3781, 3780, 3723, 3722, 3724, 3725, 3721, 3720, 3295, 3294, 3299, 3298, 3297, 3296, 3355, 3354, 3358, 3359, 3356, 3357, 3426, 3427, 3429, 3428, 3431, 3430, 3415, 3414, 3419, 3418, 3417, 3416, 3377, 3376, 3374, 3375, 3373, 3372, 3440, 3441, 3439, 3438, 3443, 3442, 3389, 3388, 3386, 3387, 3385, 3384, 3432, 3433, 3434, 3435, 3436, 3437, 3310, 3311, 3308, 3309, 3307, 3306, 3402, 3403, 3405, 3404, 3406, 3407, 3444, 3445, 3448, 3449, 3446, 3447, 3327, 3326, 3329, 3328, 3325, 3324, 3421, 3420, 3424, 3425, 3422, 3423, 3396, 3397, 3398, 3399, 3401, 3400, 3264, 3265, 3267, 3266, 3269, 3268, 3316, 3317, 3312, 3313, 3314, 3315, 3349, 3348, 3353, 3352, 3351, 3350, 3276, 3277, 3278, 3279, 3280, 3281, 3300, 3301, 3303, 3302, 3305, 3304, 3347, 3346, 3343, 3342, 3344, 3345, 3380, 3381, 3383, 3382, 3379, 3378, 3289, 3288, 3293, 3292, 3291, 3290, 3285, 3284, 3283, 3282, 3287, 3286, 3360, 3361, 3363, 3362, 3364, 3365, 3408, 3409, 3412, 3413, 3410, 3411, 3337, 3336, 3340, 3341, 3339, 3338, 3331, 3330, 3334, 3335, 3333, 3332, 3390, 3391, 3394, 3395, 3393, 3392, 3369, 3368, 3370, 3371, 3366, 3367, 3275, 3274, 3270, 3271, 3273, 3272, 3319, 3318, 3321, 3320, 3323, 3322, 3452, 3453, 3451, 3450, 3455, 3454, 1248, 1249, 1250, 1251, 1252, 1253, 1310, 1311, 1309, 1308, 1312, 1313] +private def clayworthVertexOf_data_c15 : Array (Fin 4032) := #[1171, 1170, 1173, 1172, 1175, 1174, 1159, 1158, 1160, 1161, 1163, 1162, 1294, 1295, 1293, 1292, 1290, 1291, 1270, 1271, 1267, 1266, 1268, 1269, 1216, 1217, 1213, 1212, 1215, 1214, 1285, 1284, 1286, 1287, 1289, 1288, 1156, 1157, 1152, 1153, 1154, 1155, 1259, 1258, 1257, 1256, 1255, 1254, 1236, 1237, 1240, 1241, 1238, 1239, 1331, 1330, 1327, 1326, 1328, 1329, 1281, 1280, 1283, 1282, 1278, 1279, 1274, 1275, 1277, 1276, 1272, 1273, 1179, 1178, 1176, 1177, 1180, 1181, 1260, 1261, 1262, 1263, 1265, 1264, 1211, 1210, 1206, 1207, 1208, 1209, 1333, 1332, 1337, 1336, 1334, 1335, 1296, 1297, 1298, 1299, 1301, 1300, 1315, 1314, 1317, 1316, 1318, 1319, 1244, 1245, 1246, 1247, 1242, 1243, 1193, 1192, 1190, 1191, 1188, 1189, 1302, 1303, 1306, 1307, 1305, 1304, 1321, 1320, 1324, 1325, 1323, 1322, 1234, 1235, 1230, 1231, 1232, 1233, 1169, 1168, 1167, 1166, 1165, 1164, 1229, 1228, 1225, 1224, 1227, 1226, 1219, 1218, 1223, 1222, 1220, 1221, 1198, 1199, 1196, 1197, 1194, 1195, 1184, 1185, 1186, 1187, 1182, 1183, 1341, 1340, 1343, 1342, 1338, 1339, 1205, 1204, 1200, 1201, 1203, 1202, 1931, 1930, 1927, 1926, 1929, 1928, 1953, 1952, 1950, 1951, 1955, 1954, 2017, 2016, 2021, 2020, 2019, 2018, 2077, 2076, 2080, 2081, 2078, 2079, 2041, 2040, 2045, 2044, 2042, 2043, 2069, 2068, 2067, 2066, 2064, 2065, 2010, 2011, 2012, 2013, 2015, 2014, 2092, 2093, 2088, 2089, 2090, 2091, 2062, 2063, 2060, 2061, 2058, 2059, 2082, 2083, 2085, 2084, 2086, 2087, 1986, 1987, 1990, 1991, 1989, 1988, 1961, 1960, 1959, 1958, 1956, 1957, 1966, 1967, 1964, 1965, 1962, 1963, 2102, 2103, 2100, 2101, 2104, 2105, 1983, 1982, 1980, 1981, 1985, 1984, 2056, 2057, 2052, 2053, 2055, 2054, 1920, 1921, 1922, 1923, 1925, 1924, 1973, 1972, 1969, 1968, 1971, 1970, 1938, 1939, 1940, 1941, 1942, 1943, 2009, 2008, 2005, 2004, 2007, 2006, 1997, 1996, 1993, 1992, 1995, 1994, 2033, 2032, 2028, 2029, 2030, 2031, 1947, 1946, 1948, 1949, 1944, 1945, 1936, 1937, 1935, 1934, 1933, 1932, 2026, 2027, 2023, 2022, 2025, 2024, 2073, 2072, 2070, 2071, 2075, 2074, 1998, 1999, 2000, 2001, 2002, 2003, 2037, 2036, 2038, 2039, 2034, 2035, 2094, 2095, 2099, 2098, 2097, 2096, 2050, 2051, 2048, 2049, 2047, 2046, 1974, 1975, 1979, 1978, 1977, 1976, 2111, 2110, 2109, 2108, 2107, 2106, 3650, 3651, 3652, 3653, 3648, 3649, 3801, 3800, 3799, 3798, 3802, 3803, 3810, 3811, 3814, 3815, 3812, 3813, 3687, 3686, 3685, 3684, 3689, 3688, 3669, 3668, 3667, 3666, 3671, 3670, 3772, 3773, 3768, 3769, 3770, 3771, 3752, 3753, 3754, 3755, 3750, 3751, 3654, 3655, 3658, 3659, 3657, 3656, 3717, 3716, 3719, 3718, 3715, 3714, 3764, 3765, 3767, 3766, 3762, 3763, 3663, 3662, 3665, 3664, 3661, 3660, 3742, 3743, 3741, 3740, 3739, 3738, 3826, 3827, 3822, 3823, 3824, 3825, 3708, 3709, 3713, 3712, 3710, 3711, 3793, 3792, 3797, 3796, 3795, 3794, 3745, 3744, 3747, 3746, 3748, 3749, 3675, 3674, 3676, 3677, 3672, 3673, 3835, 3834, 3838, 3839, 3836, 3837, 3776, 3777, 3778, 3779, 3775, 3774, 3690, 3691, 3694, 3695, 3692, 3693, 3820, 3821, 3817, 3816, 3818, 3819, 3761, 3760] +private def clayworthVertexOf_data_c16 : Array (Fin 4032) := #[3759, 3758, 3756, 3757, 3698, 3699, 3700, 3701, 3696, 3697, 3832, 3833, 3828, 3829, 3830, 3831, 3788, 3789, 3790, 3791, 3786, 3787, 3737, 3736, 3733, 3732, 3734, 3735, 3728, 3729, 3730, 3731, 3726, 3727, 3782, 3783, 3784, 3785, 3780, 3781, 3679, 3678, 3682, 3683, 3680, 3681, 3705, 3704, 3702, 3703, 3707, 3706, 3805, 3804, 3809, 3808, 3807, 3806, 3721, 3720, 3725, 3724, 3723, 3722, 1157, 1156, 1152, 1153, 1155, 1154, 1178, 1179, 1177, 1176, 1181, 1180, 1228, 1229, 1227, 1226, 1224, 1225, 1267, 1266, 1271, 1270, 1269, 1268, 1305, 1304, 1306, 1307, 1302, 1303, 1298, 1299, 1300, 1301, 1297, 1296, 1249, 1248, 1251, 1250, 1252, 1253, 1333, 1332, 1337, 1336, 1334, 1335, 1264, 1265, 1261, 1260, 1263, 1262, 1184, 1185, 1187, 1186, 1182, 1183, 1343, 1342, 1339, 1338, 1341, 1340, 1317, 1316, 1319, 1318, 1314, 1315, 1312, 1313, 1311, 1310, 1309, 1308, 1192, 1193, 1190, 1191, 1188, 1189, 1211, 1210, 1206, 1207, 1208, 1209, 1255, 1254, 1256, 1257, 1259, 1258, 1171, 1170, 1174, 1175, 1172, 1173, 1204, 1205, 1203, 1202, 1201, 1200, 1247, 1246, 1243, 1242, 1244, 1245, 1219, 1218, 1221, 1220, 1223, 1222, 1194, 1195, 1196, 1197, 1199, 1198, 1277, 1276, 1275, 1274, 1273, 1272, 1169, 1168, 1167, 1166, 1164, 1165, 1237, 1236, 1240, 1241, 1238, 1239, 1232, 1233, 1230, 1231, 1235, 1234, 1295, 1294, 1290, 1291, 1293, 1292, 1281, 1280, 1283, 1282, 1279, 1278, 1323, 1322, 1320, 1321, 1325, 1324, 1159, 1158, 1160, 1161, 1162, 1163, 1287, 1286, 1285, 1284, 1288, 1289, 1213, 1212, 1216, 1217, 1214, 1215, 1329, 1328, 1327, 1326, 1330, 1331, 1883, 1882, 1881, 1880, 1879, 1878, 1768, 1769, 1764, 1765, 1767, 1766, 1853, 1852, 1850, 1851, 1848, 1849, 1728, 1729, 1731, 1730, 1732, 1733, 1842, 1843, 1846, 1847, 1844, 1845, 1734, 1735, 1738, 1739, 1737, 1736, 1830, 1831, 1833, 1832, 1834, 1835, 1810, 1811, 1808, 1809, 1806, 1807, 1890, 1891, 1892, 1893, 1894, 1895, 1816, 1817, 1813, 1812, 1814, 1815, 1910, 1911, 1912, 1913, 1909, 1908, 1801, 1800, 1802, 1803, 1805, 1804, 1837, 1836, 1838, 1839, 1841, 1840, 1742, 1743, 1744, 1745, 1740, 1741, 1866, 1867, 1870, 1871, 1869, 1868, 1785, 1784, 1783, 1782, 1787, 1786, 1750, 1751, 1748, 1749, 1747, 1746, 1775, 1774, 1770, 1771, 1772, 1773, 1826, 1827, 1828, 1829, 1824, 1825, 1874, 1875, 1872, 1873, 1876, 1877, 1779, 1778, 1781, 1780, 1776, 1777, 1896, 1897, 1899, 1898, 1901, 1900, 1821, 1820, 1823, 1822, 1819, 1818, 1862, 1863, 1860, 1861, 1864, 1865, 1761, 1760, 1758, 1759, 1762, 1763, 1857, 1856, 1858, 1859, 1854, 1855, 1752, 1753, 1756, 1757, 1755, 1754, 1793, 1792, 1789, 1788, 1790, 1791, 1885, 1884, 1888, 1889, 1887, 1886, 1902, 1903, 1906, 1907, 1904, 1905, 1916, 1917, 1919, 1918, 1914, 1915, 1798, 1799, 1794, 1795, 1796, 1797, 987, 986, 985, 984, 989, 988, 1035, 1034, 1032, 1033, 1036, 1037, 967, 966, 968, 969, 970, 971, 1057, 1056, 1060, 1061, 1059, 1058, 1135, 1134, 1138, 1139, 1136, 1137, 1115, 1114, 1110, 1111, 1113, 1112, 1079, 1078, 1074, 1075, 1076, 1077, 1097, 1096, 1092, 1093, 1094, 1095, 1027, 1026, 1029, 1028] +private def clayworthVertexOf_data_c17 : Array (Fin 4032) := #[1031, 1030, 1052, 1053, 1055, 1054, 1050, 1051, 1147, 1146, 1151, 1150, 1148, 1149, 1123, 1122, 1126, 1127, 1125, 1124, 1121, 1120, 1119, 1118, 1116, 1117, 994, 995, 991, 990, 992, 993, 1105, 1104, 1106, 1107, 1109, 1108, 1015, 1014, 1016, 1017, 1019, 1018, 1082, 1083, 1080, 1081, 1084, 1085, 961, 960, 963, 962, 965, 964, 973, 972, 977, 976, 975, 974, 1003, 1002, 1005, 1004, 1007, 1006, 1090, 1091, 1086, 1087, 1088, 1089, 1001, 1000, 997, 996, 998, 999, 981, 980, 978, 979, 983, 982, 1038, 1039, 1041, 1040, 1042, 1043, 1130, 1131, 1129, 1128, 1132, 1133, 1044, 1045, 1046, 1047, 1049, 1048, 1099, 1098, 1100, 1101, 1103, 1102, 1070, 1071, 1073, 1072, 1069, 1068, 1141, 1140, 1145, 1144, 1142, 1143, 1022, 1023, 1024, 1025, 1020, 1021, 1011, 1010, 1012, 1013, 1008, 1009, 1065, 1064, 1062, 1063, 1067, 1066, 1392, 1393, 1395, 1394, 1397, 1396, 1499, 1498, 1494, 1495, 1496, 1497, 1370, 1371, 1369, 1368, 1373, 1372, 1467, 1466, 1464, 1465, 1468, 1469, 1444, 1445, 1442, 1443, 1441, 1440, 1344, 1345, 1346, 1347, 1349, 1348, 1409, 1408, 1407, 1406, 1404, 1405, 1453, 1452, 1455, 1454, 1456, 1457, 1434, 1435, 1438, 1439, 1437, 1436, 1526, 1527, 1528, 1529, 1524, 1525, 1431, 1430, 1432, 1433, 1428, 1429, 1521, 1520, 1523, 1522, 1518, 1519, 1354, 1355, 1350, 1351, 1352, 1353, 1485, 1484, 1482, 1483, 1487, 1486, 1448, 1449, 1450, 1451, 1446, 1447, 1375, 1374, 1379, 1378, 1377, 1376, 1359, 1358, 1357, 1356, 1361, 1360, 1530, 1531, 1533, 1532, 1535, 1534, 1470, 1471, 1472, 1473, 1475, 1474, 1460, 1461, 1462, 1463, 1458, 1459, 1492, 1493, 1489, 1488, 1491, 1490, 1502, 1503, 1500, 1501, 1505, 1504, 1391, 1390, 1388, 1389, 1387, 1386, 1506, 1507, 1508, 1509, 1511, 1510, 1423, 1422, 1424, 1425, 1427, 1426, 1410, 1411, 1412, 1413, 1415, 1414, 1478, 1479, 1476, 1477, 1480, 1481, 1420, 1421, 1416, 1417, 1418, 1419, 1363, 1362, 1366, 1367, 1365, 1364, 1381, 1380, 1382, 1383, 1384, 1385, 1513, 1512, 1517, 1516, 1514, 1515, 1400, 1401, 1399, 1398, 1403, 1402, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007] +private def clayworthVertexOf_data_c18 : Array (Fin 4032) := #[4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 3504, 3505, 3506, 3507, 3508, 3509, 3564, 3565, 3567, 3566, 3569, 3568, 3601, 3600, 3605, 3604, 3603, 3602, 3622, 3623, 3619, 3618, 3621, 3620, 3483, 3482, 3481, 3480, 3484, 3485, 3464, 3465, 3467, 3466, 3463, 3462, 3594, 3595, 3599, 3598, 3597, 3596, 3578, 3579, 3576, 3577, 3580, 3581, 3520, 3521, 3517, 3516, 3519, 3518, 3556, 3557, 3555, 3554, 3552, 3553, 3457, 3456, 3460, 3461, 3459, 3458, 3570, 3571, 3572, 3573, 3574, 3575, 3527, 3526, 3525, 3524, 3523, 3522, 3629, 3628, 3624, 3625, 3626, 3627, 3646, 3647, 3643, 3642, 3644, 3645, 3534, 3535, 3538, 3539, 3537, 3536, 3559, 3558, 3562, 3563, 3560, 3561, 3640, 3641, 3636, 3637, 3638, 3639, 3588, 3589, 3590, 3591, 3593, 3592, 3585, 3584, 3587, 3586, 3583, 3582, 3512, 3513, 3511, 3510, 3515, 3514, 3472, 3473, 3470, 3471, 3468, 3469, 3606, 3607, 3609, 3608, 3611, 3610, 3488, 3489, 3490, 3491, 3486, 3487, 3503, 3502, 3501, 3500, 3499, 3498, 3496, 3497, 3495, 3494, 3493, 3492, 3551, 3550, 3547, 3546, 3548, 3549, 3541, 3540, 3545, 3544, 3543, 3542, 3474, 3475, 3478, 3479, 3476, 3477, 3613, 3612, 3617, 3616, 3615, 3614, 3528, 3529, 3533, 3532, 3530, 3531, 3633, 3632, 3635, 3634, 3631, 3630, 2887, 2886, 2889, 2888, 2890, 2891, 2986, 2987, 2984, 2985, 2983, 2982, 2963, 2962, 2960, 2961, 2959, 2958, 2882, 2883, 2884, 2885, 2880, 2881, 2977, 2976, 2981, 2980, 2979, 2978, 2951, 2950, 2947, 2946, 2948, 2949, 3064, 3065, 3062, 3063, 3060, 3061, 2967, 2966, 2968, 2969, 2965, 2964, 2932, 2933, 2929, 2928, 2931, 2930, 2997, 2996, 2994, 2995, 2998, 2999, 3027, 3026, 3025, 3024, 3028, 3029, 2991, 2990, 2993, 2992, 2989, 2988, 2913, 2912, 2911, 2910, 2915, 2914, 2971, 2970, 2974, 2975, 2972, 2973, 2938, 2939, 2935, 2934, 2936, 2937, 3068, 3069, 3070, 3071, 3066, 3067, 3006, 3007, 3010, 3011, 3008, 3009, 3041, 3040, 3036, 3037, 3039, 3038, 3046, 3047, 3043, 3042, 3045, 3044, 3003, 3002, 3004, 3005, 3000, 3001, 3030, 3031, 3033, 3032, 3035, 3034, 2906, 2907, 2908, 2909, 2905, 2904, 3048, 3049, 3052, 3053, 3050, 3051, 3022, 3023, 3021, 3020, 3019, 3018, 2899, 2898, 2900, 2901, 2903, 2902, 3015, 3014, 3012, 3013, 3017, 3016, 2892, 2893, 2895, 2894, 2896, 2897, 2919, 2918, 2917, 2916, 2920, 2921, 2956, 2957, 2954, 2955, 2952, 2953, 3055, 3054, 3056, 3057, 3059, 3058, 2924, 2925, 2923, 2922, 2926, 2927, 2942, 2943, 2944, 2945, 2941, 2940, 3456, 3457, 3458, 3459, 3461, 3460, 3506, 3507, 3508, 3509, 3505, 3504, 3548, 3549, 3546, 3547, 3551, 3550, 3479, 3478, 3475, 3474, 3477, 3476, 3622, 3623, 3618, 3619, 3621, 3620, 3472, 3473, 3468, 3469, 3470, 3471, 3564, 3565, 3566, 3567, 3568, 3569, 3626, 3627, 3628, 3629, 3624, 3625, 3539, 3538, 3537, 3536, 3534, 3535, 3634, 3635, 3630, 3631, 3632, 3633, 3525, 3524, 3522, 3523, 3527, 3526, 3609, 3608, 3611, 3610, 3606, 3607, 3605, 3604, 3603, 3602, 3600, 3601, 3502, 3503, 3501, 3500, 3499, 3498, 3512, 3513, 3515, 3514, 3510, 3511, 3482, 3483] +private def clayworthVertexOf_data_c19 : Array (Fin 4032) := #[3481, 3480, 3485, 3484, 3494, 3495, 3493, 3492, 3497, 3496, 3541, 3540, 3542, 3543, 3545, 3544, 3587, 3586, 3585, 3584, 3583, 3582, 3490, 3491, 3487, 3486, 3488, 3489, 3556, 3557, 3552, 3553, 3555, 3554, 3576, 3577, 3580, 3581, 3578, 3579, 3614, 3615, 3613, 3612, 3616, 3617, 3558, 3559, 3563, 3562, 3560, 3561, 3595, 3594, 3598, 3599, 3597, 3596, 3591, 3590, 3592, 3593, 3588, 3589, 3466, 3467, 3462, 3463, 3465, 3464, 3520, 3521, 3517, 3516, 3519, 3518, 3640, 3641, 3638, 3639, 3636, 3637, 3529, 3528, 3530, 3531, 3532, 3533, 3572, 3573, 3574, 3575, 3570, 3571, 3647, 3646, 3644, 3645, 3642, 3643, 1118, 1119, 1116, 1117, 1120, 1121, 1135, 1134, 1138, 1139, 1136, 1137, 973, 972, 974, 975, 977, 976, 1102, 1103, 1101, 1100, 1099, 1098, 1061, 1060, 1059, 1058, 1056, 1057, 1091, 1090, 1086, 1087, 1088, 1089, 962, 963, 960, 961, 965, 964, 1042, 1043, 1041, 1040, 1038, 1039, 1063, 1062, 1065, 1064, 1067, 1066, 1028, 1029, 1030, 1031, 1026, 1027, 1047, 1046, 1045, 1044, 1049, 1048, 1071, 1070, 1069, 1068, 1073, 1072, 1095, 1094, 1093, 1092, 1097, 1096, 987, 986, 985, 984, 989, 988, 1051, 1050, 1052, 1053, 1055, 1054, 1084, 1085, 1083, 1082, 1080, 1081, 1123, 1122, 1127, 1126, 1125, 1124, 983, 982, 979, 978, 981, 980, 1077, 1076, 1078, 1079, 1074, 1075, 992, 993, 994, 995, 991, 990, 1112, 1113, 1111, 1110, 1115, 1114, 1140, 1141, 1145, 1144, 1143, 1142, 1014, 1015, 1019, 1018, 1017, 1016, 1105, 1104, 1108, 1109, 1107, 1106, 1037, 1036, 1033, 1032, 1035, 1034, 966, 967, 968, 969, 970, 971, 996, 997, 998, 999, 1000, 1001, 1131, 1130, 1133, 1132, 1129, 1128, 1021, 1020, 1024, 1025, 1023, 1022, 1150, 1151, 1149, 1148, 1146, 1147, 1005, 1004, 1003, 1002, 1006, 1007, 1008, 1009, 1013, 1012, 1011, 1010, 400, 401, 398, 399, 396, 397, 414, 415, 416, 417, 419, 418, 467, 466, 462, 463, 465, 464, 526, 527, 524, 525, 522, 523, 410, 411, 413, 412, 408, 409, 482, 483, 485, 484, 480, 481, 452, 453, 450, 451, 454, 455, 538, 539, 535, 534, 537, 536, 503, 502, 499, 498, 501, 500, 384, 385, 386, 387, 389, 388, 567, 566, 564, 565, 568, 569, 461, 460, 459, 458, 456, 457, 431, 430, 429, 428, 427, 426, 570, 571, 575, 574, 572, 573, 546, 547, 550, 551, 549, 548, 437, 436, 434, 435, 433, 432, 513, 512, 511, 510, 515, 514, 491, 490, 487, 486, 488, 489, 390, 391, 393, 392, 395, 394, 446, 447, 448, 449, 444, 445, 443, 442, 438, 439, 441, 440, 422, 423, 425, 424, 420, 421, 493, 492, 495, 494, 496, 497, 479, 478, 476, 477, 474, 475, 468, 469, 470, 471, 473, 472, 530, 531, 532, 533, 528, 529, 521, 520, 516, 517, 518, 519, 504, 505, 509, 508, 507, 506, 540, 541, 544, 545, 542, 543, 405, 404, 403, 402, 406, 407, 556, 557, 553, 552, 554, 555, 563, 562, 559, 558, 561, 560, 3294, 3295, 3298, 3299, 3297, 3296, 3427, 3426, 3429, 3428, 3430, 3431, 3278, 3279, 3277, 3276] +private def clayworthVertexOf_data_c20 : Array (Fin 4032) := #[3280, 3281, 3273, 3272, 3274, 3275, 3270, 3271, 3391, 3390, 3395, 3394, 3392, 3393, 3354, 3355, 3359, 3358, 3356, 3357, 3381, 3380, 3378, 3379, 3383, 3382, 3363, 3362, 3365, 3364, 3361, 3360, 3264, 3265, 3267, 3266, 3268, 3269, 3319, 3318, 3320, 3321, 3322, 3323, 3329, 3328, 3326, 3327, 3325, 3324, 3353, 3352, 3348, 3349, 3350, 3351, 3443, 3442, 3438, 3439, 3441, 3440, 3336, 3337, 3340, 3341, 3338, 3339, 3454, 3455, 3451, 3450, 3453, 3452, 3306, 3307, 3311, 3310, 3309, 3308, 3370, 3371, 3366, 3367, 3369, 3368, 3385, 3384, 3387, 3386, 3388, 3389, 3408, 3409, 3413, 3412, 3411, 3410, 3402, 3403, 3406, 3407, 3404, 3405, 3316, 3317, 3312, 3313, 3314, 3315, 3424, 3425, 3420, 3421, 3422, 3423, 3283, 3282, 3287, 3286, 3284, 3285, 3437, 3436, 3432, 3433, 3434, 3435, 3344, 3345, 3342, 3343, 3346, 3347, 3375, 3374, 3376, 3377, 3372, 3373, 3416, 3417, 3418, 3419, 3415, 3414, 3331, 3330, 3333, 3332, 3335, 3334, 3401, 3400, 3396, 3397, 3399, 3398, 3291, 3290, 3293, 3292, 3289, 3288, 3448, 3449, 3446, 3447, 3445, 3444, 3303, 3302, 3305, 3304, 3301, 3300, 3870, 3871, 3872, 3873, 3875, 3874, 3996, 3997, 4000, 4001, 3998, 3999, 3844, 3845, 3841, 3840, 3843, 3842, 3970, 3971, 3968, 3969, 3967, 3966, 3916, 3917, 3915, 3914, 3913, 3912, 3951, 3950, 3952, 3953, 3949, 3948, 3930, 3931, 3933, 3932, 3935, 3934, 3892, 3893, 3888, 3889, 3890, 3891, 3929, 3928, 3924, 3925, 3927, 3926, 4016, 4017, 4018, 4019, 4014, 4015, 4027, 4026, 4028, 4029, 4031, 4030, 3877, 3876, 3881, 3880, 3878, 3879, 3960, 3961, 3962, 3963, 3964, 3965, 3984, 3985, 3987, 3986, 3988, 3989, 3978, 3979, 3982, 3983, 3981, 3980, 3939, 3938, 3941, 3940, 3936, 3937, 3853, 3852, 3855, 3854, 3857, 3856, 3886, 3887, 3885, 3884, 3883, 3882, 3973, 3972, 3977, 3976, 3974, 3975, 3959, 3958, 3957, 3956, 3954, 3955, 4013, 4012, 4009, 4008, 4011, 4010, 3920, 3921, 3918, 3919, 3922, 3923, 3946, 3947, 3943, 3942, 3945, 3944, 3868, 3869, 3867, 3866, 3864, 3865, 3991, 3990, 3992, 3993, 3995, 3994, 4020, 4021, 4025, 4024, 4022, 4023, 3894, 3895, 3897, 3896, 3899, 3898, 3908, 3909, 3906, 3907, 3910, 3911, 3847, 3846, 3851, 3850, 3848, 3849, 3860, 3861, 3858, 3859, 3862, 3863, 4002, 4003, 4004, 4005, 4006, 4007, 3903, 3902, 3901, 3900, 3904, 3905, 586, 587, 583, 582, 585, 584, 600, 601, 603, 602, 604, 605, 671, 670, 666, 667, 669, 668, 738, 739, 741, 740, 743, 742, 724, 725, 721, 720, 722, 723, 597, 596, 595, 594, 599, 598, 700, 701, 699, 698, 696, 697, 745, 744, 747, 746, 749, 748, 577, 576, 579, 578, 580, 581, 766, 767, 762, 763, 765, 764, 628, 629, 625, 624, 626, 627, 734, 735, 737, 736, 733, 732, 728, 729, 730, 731, 726, 727, 708, 709, 711, 710, 713, 712, 632, 633, 631, 630, 634, 635, 686, 687, 684, 685, 688, 689, 616, 617, 612, 613, 614, 615, 664, 665, 660, 661, 662, 663, 639, 638, 640, 641, 637, 636, 683, 682, 679, 678, 681, 680, 609, 608, 606, 607, 610, 611, 643, 642, 645, 644, 646, 647] +private def clayworthVertexOf_data_c21 : Array (Fin 4032) := #[673, 672, 675, 674, 677, 676, 717, 716, 715, 714, 719, 718, 655, 654, 659, 658, 656, 657, 651, 650, 648, 649, 652, 653, 691, 690, 694, 695, 692, 693, 590, 591, 589, 588, 593, 592, 750, 751, 753, 752, 754, 755, 705, 704, 703, 702, 707, 706, 761, 760, 758, 759, 756, 757, 623, 622, 618, 619, 620, 621, 2011, 2010, 2013, 2012, 2015, 2014, 2081, 2080, 2079, 2078, 2077, 2076, 1940, 1941, 1939, 1938, 1943, 1942, 2021, 2020, 2017, 2016, 2018, 2019, 2025, 2024, 2022, 2023, 2026, 2027, 1921, 1920, 1924, 1925, 1923, 1922, 2046, 2047, 2050, 2051, 2049, 2048, 1931, 1930, 1929, 1928, 1927, 1926, 2088, 2089, 2090, 2091, 2092, 2093, 2107, 2106, 2110, 2111, 2109, 2108, 1990, 1991, 1989, 1988, 1986, 1987, 2000, 2001, 1999, 1998, 2003, 2002, 1967, 1966, 1962, 1963, 1964, 1965, 2036, 2037, 2038, 2039, 2034, 2035, 2058, 2059, 2060, 2061, 2063, 2062, 2030, 2031, 2032, 2033, 2028, 2029, 1952, 1953, 1950, 1951, 1954, 1955, 1972, 1973, 1968, 1969, 1970, 1971, 2067, 2066, 2069, 2068, 2064, 2065, 2055, 2054, 2056, 2057, 2052, 2053, 1944, 1945, 1948, 1949, 1946, 1947, 2087, 2086, 2082, 2083, 2085, 2084, 2007, 2006, 2004, 2005, 2009, 2008, 2044, 2045, 2043, 2042, 2041, 2040, 2095, 2094, 2098, 2099, 2096, 2097, 1980, 1981, 1983, 1982, 1985, 1984, 1932, 1933, 1936, 1937, 1934, 1935, 1993, 1992, 1995, 1994, 1997, 1996, 1958, 1959, 1956, 1957, 1960, 1961, 2073, 2072, 2075, 2074, 2070, 2071, 2100, 2101, 2104, 2105, 2102, 2103, 1977, 1976, 1979, 1978, 1974, 1975, 1585, 1584, 1587, 1586, 1588, 1589, 1614, 1615, 1616, 1617, 1618, 1619, 1539, 1538, 1540, 1541, 1536, 1537, 1693, 1692, 1697, 1696, 1694, 1695, 1556, 1557, 1558, 1559, 1555, 1554, 1630, 1631, 1626, 1627, 1629, 1628, 1543, 1542, 1544, 1545, 1547, 1546, 1612, 1613, 1611, 1610, 1609, 1608, 1656, 1657, 1660, 1661, 1658, 1659, 1635, 1634, 1637, 1636, 1633, 1632, 1624, 1625, 1620, 1621, 1622, 1623, 1604, 1605, 1606, 1607, 1602, 1603, 1716, 1717, 1718, 1719, 1720, 1721, 1595, 1594, 1593, 1592, 1590, 1591, 1646, 1647, 1645, 1644, 1649, 1648, 1551, 1550, 1552, 1553, 1548, 1549, 1688, 1689, 1690, 1691, 1686, 1687, 1641, 1640, 1643, 1642, 1638, 1639, 1598, 1599, 1600, 1601, 1596, 1597, 1722, 1723, 1727, 1726, 1724, 1725, 1670, 1671, 1672, 1673, 1668, 1669, 1666, 1667, 1664, 1665, 1663, 1662, 1698, 1699, 1701, 1700, 1703, 1702, 1564, 1565, 1562, 1563, 1560, 1561, 1655, 1654, 1650, 1651, 1652, 1653, 1576, 1577, 1575, 1574, 1573, 1572, 1569, 1568, 1570, 1571, 1566, 1567, 1708, 1709, 1704, 1705, 1707, 1706, 1682, 1683, 1680, 1681, 1684, 1685, 1678, 1679, 1674, 1675, 1676, 1677, 1582, 1583, 1580, 1581, 1578, 1579, 1711, 1710, 1714, 1715, 1713, 1712, 3853, 3852, 3855, 3854, 3856, 3857, 3874, 3875, 3871, 3870, 3873, 3872, 3908, 3909, 3910, 3911, 3906, 3907, 3847, 3846, 3849, 3848, 3851, 3850, 3995, 3994, 3990, 3991, 3993, 3992, 3943, 3942, 3947, 3946, 3944, 3945, 3976, 3977, 3972, 3973, 3975, 3974, 4014, 4015, 4016, 4017, 4019, 4018, 3965, 3964, 3963, 3962, 3960, 3961, 4013, 4012] +private def clayworthVertexOf_data_c22 : Array (Fin 4032) := #[4010, 4011, 4008, 4009, 3860, 3861, 3863, 3862, 3859, 3858, 3879, 3878, 3880, 3881, 3877, 3876, 3978, 3979, 3980, 3981, 3982, 3983, 3892, 3893, 3888, 3889, 3891, 3890, 4001, 4000, 3998, 3999, 3997, 3996, 3869, 3868, 3866, 3867, 3865, 3864, 3894, 3895, 3898, 3899, 3896, 3897, 3956, 3957, 3954, 3955, 3958, 3959, 3886, 3887, 3884, 3885, 3882, 3883, 3925, 3924, 3927, 3926, 3929, 3928, 3923, 3922, 3918, 3919, 3921, 3920, 3940, 3941, 3938, 3939, 3937, 3936, 3912, 3913, 3914, 3915, 3916, 3917, 4005, 4004, 4002, 4003, 4006, 4007, 3986, 3987, 3985, 3984, 3989, 3988, 3971, 3970, 3966, 3967, 3969, 3968, 4025, 4024, 4020, 4021, 4022, 4023, 3845, 3844, 3843, 3842, 3841, 3840, 3950, 3951, 3952, 3953, 3948, 3949, 4027, 4026, 4030, 4031, 4029, 4028, 3900, 3901, 3902, 3903, 3905, 3904, 3931, 3930, 3934, 3935, 3933, 3932, 3145, 3144, 3147, 3146, 3149, 3148, 3074, 3075, 3076, 3077, 3073, 3072, 3216, 3217, 3220, 3221, 3219, 3218, 3167, 3166, 3163, 3162, 3165, 3164, 3081, 3080, 3078, 3079, 3082, 3083, 3107, 3106, 3102, 3103, 3104, 3105, 3130, 3131, 3128, 3129, 3126, 3127, 3180, 3181, 3184, 3185, 3182, 3183, 3113, 3112, 3109, 3108, 3111, 3110, 3152, 3153, 3154, 3155, 3150, 3151, 3234, 3235, 3238, 3239, 3236, 3237, 3257, 3256, 3255, 3254, 3253, 3252, 3141, 3140, 3138, 3139, 3143, 3142, 3246, 3247, 3249, 3248, 3250, 3251, 3170, 3171, 3168, 3169, 3172, 3173, 3188, 3189, 3190, 3191, 3186, 3187, 3210, 3211, 3212, 3213, 3214, 3215, 3096, 3097, 3099, 3098, 3101, 3100, 3156, 3157, 3160, 3161, 3158, 3159, 3193, 3192, 3195, 3194, 3197, 3196, 3223, 3222, 3226, 3227, 3225, 3224, 3178, 3179, 3175, 3174, 3177, 3176, 3135, 3134, 3132, 3133, 3136, 3137, 3114, 3115, 3118, 3119, 3116, 3117, 3208, 3209, 3206, 3207, 3204, 3205, 3090, 3091, 3095, 3094, 3093, 3092, 3123, 3122, 3120, 3121, 3124, 3125, 3201, 3200, 3202, 3203, 3199, 3198, 3086, 3087, 3089, 3088, 3084, 3085, 3233, 3232, 3228, 3229, 3231, 3230, 3242, 3243, 3241, 3240, 3244, 3245, 3263, 3262, 3261, 3260, 3259, 3258, 3096, 3097, 3098, 3099, 3100, 3101, 3123, 3122, 3124, 3125, 3121, 3120, 3088, 3089, 3084, 3085, 3086, 3087, 3174, 3175, 3179, 3178, 3177, 3176, 3197, 3196, 3192, 3193, 3195, 3194, 3144, 3145, 3146, 3147, 3148, 3149, 3236, 3237, 3238, 3239, 3234, 3235, 3186, 3187, 3190, 3191, 3189, 3188, 3073, 3072, 3077, 3076, 3075, 3074, 3159, 3158, 3156, 3157, 3160, 3161, 3259, 3258, 3260, 3261, 3262, 3263, 3242, 3243, 3240, 3241, 3245, 3244, 3108, 3109, 3111, 3110, 3113, 3112, 3223, 3222, 3227, 3226, 3224, 3225, 3220, 3221, 3218, 3219, 3216, 3217, 3206, 3207, 3208, 3209, 3204, 3205, 3115, 3114, 3116, 3117, 3119, 3118, 3078, 3079, 3080, 3081, 3082, 3083, 3151, 3150, 3152, 3153, 3154, 3155, 3130, 3131, 3126, 3127, 3128, 3129, 3094, 3095, 3092, 3093, 3090, 3091, 3163, 3162, 3164, 3165, 3166, 3167, 3233, 3232, 3229, 3228, 3230, 3231, 3213, 3212, 3211, 3210, 3215, 3214, 3140, 3141, 3138, 3139, 3142, 3143, 3132, 3133, 3134, 3135, 3137, 3136, 3170, 3171, 3173, 3172, 3168, 3169, 3184, 3185, 3182, 3183, 3180, 3181, 3106, 3107, 3103, 3102] +private def clayworthVertexOf_data_c23 : Array (Fin 4032) := #[3104, 3105, 3198, 3199, 3200, 3201, 3203, 3202, 3246, 3247, 3251, 3250, 3249, 3248, 3256, 3257, 3255, 3254, 3252, 3253, 2705, 2704, 2700, 2701, 2702, 2703, 2724, 2725, 2727, 2726, 2729, 2728, 2740, 2741, 2739, 2738, 2737, 2736, 2768, 2769, 2766, 2767, 2770, 2771, 2797, 2796, 2801, 2800, 2799, 2798, 2844, 2845, 2847, 2846, 2849, 2848, 2714, 2715, 2712, 2713, 2716, 2717, 2824, 2825, 2822, 2823, 2820, 2821, 2784, 2785, 2787, 2786, 2789, 2788, 2853, 2852, 2850, 2851, 2855, 2854, 2689, 2688, 2691, 2690, 2693, 2692, 2764, 2765, 2760, 2761, 2762, 2763, 2793, 2792, 2794, 2795, 2790, 2791, 2878, 2879, 2874, 2875, 2876, 2877, 2747, 2746, 2744, 2745, 2742, 2743, 2834, 2835, 2832, 2833, 2836, 2837, 2861, 2860, 2857, 2856, 2859, 2858, 2841, 2840, 2842, 2843, 2839, 2838, 2826, 2827, 2829, 2828, 2830, 2831, 2755, 2754, 2757, 2756, 2759, 2758, 2694, 2695, 2697, 2696, 2698, 2699, 2753, 2752, 2748, 2749, 2750, 2751, 2783, 2782, 2778, 2779, 2781, 2780, 2812, 2813, 2808, 2809, 2811, 2810, 2731, 2730, 2734, 2735, 2733, 2732, 2776, 2777, 2773, 2772, 2775, 2774, 2722, 2723, 2721, 2720, 2718, 2719, 2815, 2814, 2817, 2816, 2819, 2818, 2708, 2709, 2710, 2711, 2707, 2706, 2862, 2863, 2867, 2866, 2865, 2864, 2802, 2803, 2806, 2807, 2804, 2805, 2873, 2872, 2870, 2871, 2868, 2869, 2162, 2163, 2160, 2161, 2164, 2165, 2114, 2115, 2117, 2116, 2112, 2113, 2279, 2278, 2276, 2277, 2274, 2275, 2131, 2130, 2133, 2132, 2135, 2134, 2214, 2215, 2218, 2219, 2217, 2216, 2241, 2240, 2243, 2242, 2238, 2239, 2230, 2231, 2228, 2229, 2226, 2227, 2179, 2178, 2181, 2180, 2183, 2182, 2222, 2223, 2221, 2220, 2225, 2224, 2186, 2187, 2189, 2188, 2185, 2184, 2286, 2287, 2290, 2291, 2288, 2289, 2205, 2204, 2207, 2206, 2203, 2202, 2169, 2168, 2170, 2171, 2166, 2167, 2120, 2121, 2123, 2122, 2119, 2118, 2246, 2247, 2245, 2244, 2248, 2249, 2266, 2267, 2262, 2263, 2264, 2265, 2235, 2234, 2236, 2237, 2232, 2233, 2150, 2151, 2149, 2148, 2153, 2152, 2211, 2210, 2209, 2208, 2212, 2213, 2175, 2174, 2177, 2176, 2173, 2172, 2292, 2293, 2295, 2294, 2296, 2297, 2250, 2251, 2255, 2254, 2252, 2253, 2140, 2141, 2137, 2136, 2139, 2138, 2158, 2159, 2156, 2157, 2154, 2155, 2269, 2268, 2272, 2273, 2270, 2271, 2145, 2144, 2147, 2146, 2142, 2143, 2190, 2191, 2195, 2194, 2192, 2193, 2260, 2261, 2256, 2257, 2258, 2259, 2127, 2126, 2125, 2124, 2128, 2129, 2199, 2198, 2201, 2200, 2197, 2196, 2281, 2280, 2284, 2285, 2283, 2282, 2302, 2303, 2300, 2301, 2299, 2298, 2737, 2736, 2741, 2740, 2739, 2738, 2784, 2785, 2786, 2787, 2788, 2789, 2692, 2693, 2690, 2691, 2688, 2689, 2840, 2841, 2838, 2839, 2843, 2842, 2844, 2845, 2848, 2849, 2847, 2846, 2706, 2707, 2708, 2709, 2711, 2710, 2819, 2818, 2816, 2817, 2815, 2814, 2796, 2797, 2801, 2800, 2798, 2799, 2813, 2812, 2809, 2808, 2811, 2810, 2696, 2697, 2694, 2695, 2698, 2699, 2775, 2774, 2777, 2776, 2773, 2772, 2704, 2705, 2702, 2703, 2701, 2700, 2806, 2807, 2804, 2805, 2803, 2802, 2872, 2873, 2870, 2871, 2868, 2869, 2761, 2760, 2762, 2763, 2765, 2764, 2866, 2867, 2863, 2862, 2864, 2865] +private def clayworthVertexOf_data_c24 : Array (Fin 4032) := #[2747, 2746, 2742, 2743, 2744, 2745, 2835, 2834, 2833, 2832, 2837, 2836, 2724, 2725, 2727, 2726, 2729, 2728, 2790, 2791, 2792, 2793, 2794, 2795, 2753, 2752, 2748, 2749, 2750, 2751, 2713, 2712, 2714, 2715, 2717, 2716, 2823, 2822, 2825, 2824, 2820, 2821, 2851, 2850, 2852, 2853, 2854, 2855, 2781, 2780, 2783, 2782, 2779, 2778, 2757, 2756, 2754, 2755, 2758, 2759, 2829, 2828, 2826, 2827, 2831, 2830, 2721, 2720, 2722, 2723, 2719, 2718, 2771, 2770, 2767, 2766, 2769, 2768, 2733, 2732, 2734, 2735, 2731, 2730, 2857, 2856, 2859, 2858, 2860, 2861, 2878, 2879, 2876, 2877, 2875, 2874] + +private def clayworthVertexOf_data : Array (Fin 4032) := + clayworthVertexOf_data_c0 ++ clayworthVertexOf_data_c1 ++ clayworthVertexOf_data_c2 ++ clayworthVertexOf_data_c3 ++ clayworthVertexOf_data_c4 ++ clayworthVertexOf_data_c5 ++ clayworthVertexOf_data_c6 ++ clayworthVertexOf_data_c7 ++ clayworthVertexOf_data_c8 ++ clayworthVertexOf_data_c9 ++ clayworthVertexOf_data_c10 ++ clayworthVertexOf_data_c11 ++ clayworthVertexOf_data_c12 ++ clayworthVertexOf_data_c13 ++ clayworthVertexOf_data_c14 ++ clayworthVertexOf_data_c15 ++ clayworthVertexOf_data_c16 ++ clayworthVertexOf_data_c17 ++ clayworthVertexOf_data_c18 ++ clayworthVertexOf_data_c19 ++ clayworthVertexOf_data_c20 ++ clayworthVertexOf_data_c21 ++ clayworthVertexOf_data_c22 ++ clayworthVertexOf_data_c23 ++ clayworthVertexOf_data_c24 + +private def clayworthEdgeOf_data_c0 : Array (Fin 6048) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 176, 177, 175, 174, 179, 178, 97, 96, 100, 101, 99, 98, 180, 181, 183, 182, 185, 184, 1, 0, 5, 4, 2, 3, 147, 146, 144, 145, 148, 149, 36, 37, 40, 41, 39, 38, 24, 25, 27, 26, 28, 29, 161, 160, 157, 156, 159, 158, 169, 168, 171, 170, 172, 173, 49, 48, 51, 50, 53, 52, 126, 127, 129, 128, 131, 130, 102, 103, 107, 106, 104, 105, 141, 140, 143, 142, 138, 139, 122, 123, 125, 124, 120, 121, 74, 75, 73, 72, 76, 77, 136, 137, 134, 135, 133, 132, 34, 35, 32, 33, 31, 30, 91, 90, 93, 92, 95, 94, 12, 13, 16, 17, 14, 15, 54, 55] +private def clayworthEdgeOf_data_c1 : Array (Fin 6048) := #[58, 59, 57, 56, 67, 66, 69, 68, 71, 70, 151, 150, 153, 152, 155, 154, 119, 118, 116, 117, 115, 114, 82, 83, 79, 78, 81, 80, 89, 88, 86, 87, 85, 84, 61, 60, 65, 64, 62, 63, 43, 42, 45, 44, 46, 47, 163, 162, 165, 164, 167, 166, 108, 109, 110, 111, 113, 112, 9, 8, 6, 7, 10, 11, 23, 22, 21, 20, 19, 18, 189, 188, 187, 186, 190, 191, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807] +private def clayworthEdgeOf_data_c2 : Array (Fin 6048) := #[808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 193, 192, 194, 195, 197, 196, 374, 375, 373, 372, 376, 377, 290, 291, 293, 292, 289, 288, 208, 209, 204, 205, 207, 206, 232, 233, 231, 230, 228, 229, 217, 216, 221, 220, 219, 218, 212, 213, 214, 215, 210, 211, 368, 369, 370, 371, 367, 366, 349, 348, 351, 350, 353, 352, 329, 328, 324, 325, 326, 327, 297, 296, 299, 298, 295, 294, 338, 339, 341, 340, 336, 337, 225, 224, 223, 222, 227, 226, 282, 283, 284, 285, 287, 286, 244, 245, 241, 240, 242, 243, 257, 256, 253, 252, 255, 254, 320, 321, 322, 323, 318, 319, 362, 363, 360, 361, 364, 365, 271, 270, 272, 273, 274, 275, 331, 330, 333, 332, 335, 334, 306, 307, 308, 309, 310, 311, 280, 281, 278, 279, 276, 277, 313, 312, 314, 315, 317, 316, 263, 262, 260, 261, 259, 258, 268, 269, 266, 267, 264, 265, 342, 343, 344, 345, 346, 347, 251, 250, 247, 246, 249, 248, 300, 301, 304, 305, 302, 303, 235, 234, 239, 238, 236, 237, 357, 356, 354, 355, 358, 359, 202, 203, 200, 201, 198, 199, 381, 380, 378, 379, 382, 383, 960, 961, 962, 963, 964, 965, 960, 961, 965, 964, 962, 963, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 968, 969, 970, 971, 966, 967, 984, 985, 986, 987, 988, 989, 978, 979, 983, 982, 981, 980, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1008, 1009, 1010, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 994, 995, 990, 991, 992, 993, 1006, 1007, 1002, 1003, 1004, 1005, 1029, 1030, 1031, 1032, 1033, 1034, 1021, 1022, 1019, 1020, 1017, 1018, 1035, 1036, 1037, 1038, 1039, 1040, 1027, 1028, 1025, 1026, 1023, 1024, 999, 998, 1001, 1000, 997, 996, 1041, 1041, 1042, 1043, 1042, 1043, 1035, 1036, 1039, 1040, 1037, 1038, 1015, 1016, 1014, 1013, 1011, 1012, 1044, 1044, 1045, 1046, 1045, 1046] +private def clayworthEdgeOf_data_c3 : Array (Fin 6048) := #[977, 976, 973, 972, 975, 974, 1030, 1029, 1034, 1033, 1032, 1031, 989, 988, 986, 987, 984, 985, 1047, 1048, 1049, 1050, 1051, 1052, 1048, 1047, 1049, 1050, 1051, 1052, 1053, 1054, 1053, 1054, 1055, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1441, 1440, 1445, 1444, 1443, 1442, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1458, 1459, 1461, 1460, 1462, 1463, 1476, 1477, 1478, 1479, 1480, 1481, 1465, 1464, 1466, 1467, 1469, 1468, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1472, 1473] +private def clayworthEdgeOf_data_c4 : Array (Fin 6048) := #[1471, 1470, 1474, 1475, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1514, 1515, 1512, 1513, 1516, 1517, 1505, 1504, 1502, 1503, 1501, 1500, 1490, 1491, 1489, 1488, 1492, 1493, 1486, 1487, 1483, 1482, 1484, 1485, 1498, 1499, 1495, 1494, 1497, 1496, 1524, 1525, 1526, 1527, 1528, 1529, 1507, 1506, 1511, 1510, 1508, 1509, 1530, 1531, 1532, 1533, 1534, 1535, 1526, 1527, 1528, 1529, 1525, 1524, 1531, 1530, 1533, 1532, 1535, 1534, 1520, 1521, 1519, 1518, 1522, 1523, 1480, 1481, 1478, 1479, 1477, 1476, 1451, 1450, 1449, 1448, 1446, 1447, 1452, 1453, 1457, 1456, 1455, 1454, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1072, 1073, 1069, 1068] +private def clayworthEdgeOf_data_c5 : Array (Fin 6048) := #[1070, 1071, 1057, 1056, 1058, 1059, 1060, 1061, 1233, 1232, 1230, 1231, 1234, 1235, 1240, 1241, 1236, 1237, 1239, 1238, 1062, 1063, 1066, 1067, 1064, 1065, 1078, 1079, 1076, 1077, 1074, 1075, 1108, 1109, 1104, 1105, 1107, 1106, 1202, 1203, 1205, 1204, 1200, 1201, 1087, 1086, 1090, 1091, 1088, 1089, 1123, 1122, 1126, 1127, 1124, 1125, 1161, 1160, 1159, 1158, 1163, 1162, 1093, 1092, 1095, 1094, 1097, 1096, 1224, 1225, 1226, 1227, 1228, 1229, 1193, 1192, 1188, 1189, 1190, 1191, 1134, 1135, 1138, 1139, 1136, 1137, 1103, 1102, 1100, 1101, 1099, 1098, 1164, 1165, 1166, 1167, 1168, 1169, 1206, 1207, 1208, 1209, 1210, 1211, 1156, 1157, 1152, 1153, 1154, 1155, 1171, 1170, 1174, 1175, 1172, 1173, 1183, 1182, 1185, 1184, 1186, 1187, 1145, 1144, 1143, 1142, 1141, 1140, 1150, 1151, 1149, 1148, 1147, 1146, 1220, 1221, 1222, 1223, 1218, 1219, 1194, 1195, 1199, 1198, 1197, 1196, 1084, 1085, 1082, 1083, 1081, 1080, 1114, 1115, 1112, 1113, 1110, 1111, 1131, 1130, 1132, 1133, 1129, 1128, 1213, 1212, 1214, 1215, 1216, 1217, 1178, 1179, 1176, 1177, 1181, 1180, 1121, 1120, 1118, 1119, 1117, 1116, 1244, 1245, 1243, 1242, 1247, 1246, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231] +private def clayworthEdgeOf_data_c6 : Array (Fin 6048) := #[2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 1536, 1537, 1538, 1539, 1541, 1540, 1718, 1719, 1716, 1717, 1720, 1721, 1553, 1552, 1550, 1551, 1549, 1548, 1576, 1577, 1573, 1572, 1574, 1575, 1683, 1682, 1684, 1685, 1681, 1680, 1568, 1569, 1571, 1570, 1567, 1566, 1585, 1584, 1586, 1587, 1588, 1589, 1557, 1556, 1559, 1558, 1555, 1554, 1710, 1711, 1714, 1715, 1712, 1713, 1700, 1701, 1698, 1699, 1702, 1703, 1601, 1600, 1597, 1596, 1599, 1598, 1656, 1657, 1659, 1658, 1661, 1660, 1673, 1672, 1670, 1671, 1669, 1668, 1648, 1649, 1645, 1644, 1646, 1647, 1667, 1666, 1665, 1664, 1663, 1662, 1642, 1643, 1640, 1641, 1638, 1639, 1608, 1609, 1612, 1613, 1610, 1611, 1625, 1624, 1620, 1621, 1623, 1622, 1686, 1687, 1691, 1690, 1688, 1689, 1634, 1635, 1632, 1633, 1637, 1636, 1707, 1706, 1704, 1705, 1709, 1708, 1618, 1619, 1614, 1615, 1616, 1617, 1651, 1650, 1653, 1652, 1655, 1654, 1603, 1602, 1604, 1605, 1607, 1606, 1628, 1629, 1630, 1631, 1626, 1627, 1695, 1694, 1696, 1697, 1693, 1692, 1677, 1676, 1675, 1674, 1678, 1679, 1564, 1565, 1563, 1562, 1560, 1561, 1578, 1579, 1582, 1583, 1580, 1581, 1595, 1594, 1592, 1593, 1590, 1591, 1542, 1543, 1547, 1546, 1544, 1545, 1724, 1725, 1723, 1722, 1726, 1727, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2497, 2496, 2499, 2498, 2501, 2500, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533] +private def clayworthEdgeOf_data_c7 : Array (Fin 6048) := #[2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2523, 2522, 2521, 2520, 2525, 2524, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2527, 2526, 2528, 2529, 2530, 2531, 2568, 2569, 2570, 2571, 2572, 2573, 2512, 2513, 2509, 2508, 2510, 2511, 2550, 2551, 2555, 2554, 2553, 2552, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2569, 2568, 2573, 2572, 2571, 2570, 2558, 2559, 2556, 2557, 2561, 2560, 2589, 2588, 2587, 2586, 2591, 2590, 2562, 2563, 2567, 2566, 2565, 2564, 2516, 2517, 2515, 2514, 2518, 2519, 2575, 2574, 2577, 2576, 2579, 2578, 2533, 2532, 2536, 2537, 2534, 2535, 2544, 2545, 2546, 2547, 2548, 2549, 2580, 2581, 2583, 2582, 2585, 2584, 2543, 2542, 2539, 2538, 2541, 2540, 2504, 2505, 2502, 2503, 2507, 2506, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943] +private def clayworthEdgeOf_data_c8 : Array (Fin 6048) := #[2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443] +private def clayworthEdgeOf_data_c9 : Array (Fin 6048) := #[3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3552, 3553, 3554, 3555, 3557, 3556, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3566, 3564, 3565, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3567, 3568, 3569, 3570, 3571, 3572, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3577, 3578, 3575, 3576, 3573, 3574, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3621, 3622, 3623, 3622, 3623, 3602, 3601, 3598, 3597, 3600, 3599, 3624, 3625, 3626, 3627, 3628, 3629, 3613, 3614, 3610, 3609, 3612, 3611, 3620, 3619, 3618, 3617, 3616, 3615, 3630, 3630, 3631, 3632, 3632, 3631, 3633, 3634, 3635, 3636, 3637, 3638, 3608, 3607, 3604, 3603, 3605, 3606, 3624, 3625, 3628, 3629, 3626, 3627, 3579, 3580, 3583, 3584, 3582, 3581, 3639, 3640, 3641, 3642, 3643, 3644, 3637, 3638, 3635, 3636, 3634, 3633, 3593, 3594, 3595, 3596, 3591, 3592, 3639, 3640, 3641, 3642, 3643, 3644, 3585, 3586, 3589, 3590, 3588, 3587, 3561, 3560, 3563, 3562, 3559, 3558, 3645, 3646, 3647, 3647, 3645, 3646, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847] +private def clayworthEdgeOf_data_c10 : Array (Fin 6048) := #[3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136, 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145, 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154, 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163, 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172, 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181, 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199, 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208, 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217, 4218, 4219, 4220, 4221, 4222, 4223, 1729, 1728, 1730, 1731, 1732, 1733, 1814, 1815, 1817, 1816, 1813, 1812, 1919, 1918, 1915, 1914, 1916, 1917, 1735, 1734, 1739, 1738, 1737, 1736, 1765, 1764, 1767, 1766, 1769, 1768, 1887, 1886, 1884, 1885, 1888, 1889, 1758, 1759, 1762, 1763, 1761, 1760, 1751, 1750, 1749, 1748, 1746, 1747, 1911, 1910, 1913, 1912, 1908, 1909, 1790, 1791, 1788, 1789, 1793, 1792, 1860, 1861, 1863, 1862, 1865, 1864, 1882, 1883, 1878, 1879, 1880, 1881, 1821, 1820, 1823, 1822, 1819, 1818, 1796, 1797, 1794, 1795, 1798, 1799, 1866, 1867, 1871, 1870, 1868, 1869, 1876, 1877, 1874, 1875, 1872, 1873, 1836, 1837, 1841, 1840, 1838, 1839, 1859, 1858, 1857, 1856, 1855, 1854, 1806, 1807, 1808, 1809, 1811, 1810, 1890, 1891, 1893, 1892, 1895, 1894, 1850, 1851, 1848, 1849] +private def clayworthEdgeOf_data_c11 : Array (Fin 6048) := #[1852, 1853, 1904, 1905, 1902, 1903, 1907, 1906, 1804, 1805, 1801, 1800, 1802, 1803, 1842, 1843, 1846, 1847, 1845, 1844, 1756, 1757, 1752, 1753, 1754, 1755, 1824, 1825, 1827, 1826, 1828, 1829, 1771, 1770, 1774, 1775, 1772, 1773, 1899, 1898, 1897, 1896, 1900, 1901, 1782, 1783, 1784, 1785, 1786, 1787, 1831, 1830, 1833, 1832, 1835, 1834, 1780, 1781, 1779, 1778, 1777, 1776, 1743, 1742, 1741, 1740, 1745, 1744, 4224, 4225, 4226, 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4417, 4416, 4419, 4418, 4421, 4420, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438, 4439, 4427, 4426, 4424, 4425, 4422, 4423, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4442, 4443, 4444, 4445, 4440, 4441, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487, 4428, 4429, 4432, 4433, 4430, 4431, 4474, 4475, 4470, 4471, 4473, 4472, 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499, 4488, 4489, 4490, 4491, 4493, 4492, 4495, 4494, 4496, 4497, 4498, 4499, 4465, 4464, 4467, 4466, 4469, 4468, 4480, 4481, 4478, 4479, 4476, 4477, 4487, 4486, 4484, 4485, 4482, 4483, 4500, 4501, 4502, 4503, 4504, 4505, 4450, 4451, 4448, 4449, 4447, 4446, 4456, 4457, 4454, 4455, 4452, 4453, 4506, 4507, 4508, 4509, 4510, 4511, 4505, 4504, 4500, 4501, 4503, 4502, 4460, 4461, 4462, 4463, 4458, 4459, 4508, 4509, 4507, 4506, 4510, 4511, 4438, 4439, 4436, 4437, 4434, 4435, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559] +private def clayworthEdgeOf_data_c12 : Array (Fin 6048) := #[4560, 4561, 4562, 4563, 4564, 4565, 4566, 4566, 4567, 4568, 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4534, 4535, 4531, 4530, 4532, 4533, 4555, 4554, 4558, 4559, 4557, 4556, 4561, 4560, 4563, 4562, 4565, 4564, 4575, 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586, 4570, 4569, 4573, 4574, 4572, 4571, 4587, 4588, 4589, 4590, 4591, 4592, 4577, 4578, 4575, 4576, 4580, 4579, 4593, 4593, 4594, 4595, 4595, 4594, 4587, 4588, 4589, 4590, 4592, 4591, 4548, 4549, 4552, 4553, 4550, 4551, 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4602, 4603, 4604, 4604, 4529, 4528, 4526, 4527, 4525, 4524, 4537, 4536, 4540, 4541, 4539, 4538, 4599, 4598, 4597, 4596, 4601, 4600, 4583, 4584, 4581, 4582, 4585, 4586, 4543, 4542, 4547, 4546, 4545, 4544, 4516, 4517, 4515, 4514, 4513, 4512, 4523, 4522, 4518, 4519, 4520, 4521, 4605, 4606, 4607, 4607, 4605, 4606, 582, 583, 585, 584, 587, 586, 602, 603, 605, 604, 601, 600, 576, 577, 578, 579, 580, 581, 729, 728, 727, 726, 731, 730, 653, 652, 651, 650, 648, 649, 760, 761, 758, 759, 756, 757, 613, 612, 616, 617, 614, 615, 697, 696, 701, 700, 699, 698, 714, 715, 718, 719, 716, 717, 667, 666, 669, 668, 671, 670, 703, 702, 707, 706, 705, 704, 713, 712, 711, 710, 709, 708, 689, 688, 685, 684, 686, 687, 660, 661, 662, 663, 664, 665, 618, 619, 622, 623, 620, 621, 732, 733, 735, 734, 736, 737, 646, 647, 642, 643, 644, 645, 691, 690, 695, 694, 693, 692, 677, 676, 672, 673, 674, 675, 654, 655, 658, 659, 657, 656, 634, 635, 630, 631, 632, 633, 636, 637, 640, 641, 639, 638, 747, 746, 748, 749, 744, 745, 625, 624, 628, 629, 626, 627, 720, 721, 724, 725, 723, 722, 610, 611, 609, 608, 606, 607, 751, 750, 753, 752, 755, 754, 740, 741, 739, 738, 743, 742, 680, 681, 679, 678, 683, 682, 593, 592, 591, 590, 589, 588, 596, 597, 594, 595, 598, 599, 764, 765, 762, 763, 767, 766, 2796, 2797, 2798, 2799, 2801, 2800, 2785, 2784, 2786, 2787, 2788, 2789, 2969, 2968, 2966, 2967, 2964, 2965, 2794, 2795, 2792, 2793, 2791, 2790, 2816, 2817, 2814, 2815, 2818, 2819, 2938, 2939, 2936, 2937, 2934, 2935, 2959, 2958, 2962, 2963, 2960, 2961, 2822, 2823, 2820, 2821, 2824, 2825, 2845, 2844, 2846, 2847, 2849, 2848, 2916, 2917, 2918, 2919, 2920, 2921, 2886, 2887, 2890, 2891, 2889, 2888, 2909, 2908, 2905, 2904, 2906, 2907, 2892, 2893, 2894, 2895, 2897, 2896, 2859, 2858, 2857, 2856, 2861, 2860, 2927, 2926, 2925, 2924, 2923, 2922, 2874, 2875, 2876, 2877, 2879, 2878, 2880, 2881, 2885, 2884, 2883, 2882, 2806, 2807, 2804, 2805, 2802, 2803, 2952, 2953, 2954, 2955, 2956, 2957, 2869, 2868, 2871, 2870, 2873, 2872, 2911, 2910, 2915, 2914, 2912, 2913, 2854, 2855, 2851, 2850, 2852, 2853, 2867, 2866, 2865, 2864, 2863, 2862, 2950, 2951, 2949, 2948, 2946, 2947, 2898, 2899, 2903, 2902, 2900, 2901, 2827, 2826, 2830, 2831, 2829, 2828, 2931, 2930, 2929, 2928, 2933, 2932, 2842, 2843] +private def clayworthEdgeOf_data_c13 : Array (Fin 6048) := #[2841, 2840, 2838, 2839, 2942, 2943, 2941, 2940, 2944, 2945, 2837, 2836, 2834, 2835, 2832, 2833, 2811, 2810, 2809, 2808, 2813, 2812, 2973, 2972, 2971, 2970, 2975, 2974, 3377, 3376, 3375, 3374, 3373, 3372, 3361, 3360, 3363, 3362, 3365, 3364, 3542, 3543, 3540, 3541, 3544, 3545, 3441, 3440, 3443, 3442, 3439, 3438, 3367, 3366, 3371, 3370, 3369, 3368, 3380, 3381, 3378, 3379, 3382, 3383, 3507, 3506, 3508, 3509, 3504, 3505, 3423, 3422, 3425, 3424, 3421, 3420, 3518, 3519, 3520, 3521, 3516, 3517, 3539, 3538, 3537, 3536, 3535, 3534, 3387, 3386, 3388, 3389, 3385, 3384, 3524, 3525, 3522, 3523, 3527, 3526, 3483, 3482, 3485, 3484, 3481, 3480, 3444, 3445, 3446, 3447, 3449, 3448, 3500, 3501, 3502, 3503, 3498, 3499, 3486, 3487, 3488, 3489, 3491, 3490, 3496, 3497, 3494, 3495, 3493, 3492, 3460, 3461, 3459, 3458, 3457, 3456, 3433, 3432, 3435, 3434, 3437, 3436, 3510, 3511, 3515, 3514, 3512, 3513, 3471, 3470, 3473, 3472, 3468, 3469, 3530, 3531, 3529, 3528, 3532, 3533, 3414, 3415, 3418, 3419, 3416, 3417, 3451, 3450, 3454, 3455, 3452, 3453, 3428, 3429, 3430, 3431, 3427, 3426, 3404, 3405, 3407, 3406, 3403, 3402, 3475, 3474, 3477, 3476, 3479, 3478, 3463, 3462, 3464, 3465, 3466, 3467, 3390, 3391, 3392, 3393, 3395, 3394, 3410, 3411, 3412, 3413, 3408, 3409, 3397, 3396, 3400, 3401, 3398, 3399, 3550, 3551, 3547, 3546, 3549, 3548, 4608, 4609, 4610, 4611, 4612, 4613, 4614, 4615, 4616, 4617, 4618, 4619, 4620, 4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4629, 4630, 4631, 4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4646, 4647, 4648, 4649, 4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694, 4695, 4696, 4697, 4698, 4699, 4700, 4701, 4702, 4703, 4704, 4705, 4706, 4707, 4708, 4709, 4710, 4711, 4712, 4713, 4714, 4715, 4716, 4717, 4718, 4719, 4720, 4721, 4722, 4723, 4724, 4725, 4726, 4727, 4728, 4729, 4730, 4731, 4732, 4733, 4734, 4735, 4736, 4737, 4738, 4739, 4740, 4741, 4742, 4743, 4744, 4745, 4746, 4747, 4748, 4749, 4750, 4751, 4752, 4753, 4754, 4755, 4756, 4757, 4758, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775, 4776, 4777, 4778, 4779, 4780, 4781, 4782, 4783, 4784, 4785, 4786, 4787, 4788, 4789, 4790, 4791, 4792, 4793, 4794, 4795, 4796, 4797, 4798, 4799, 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883, 4884, 4885, 4886, 4887] +private def clayworthEdgeOf_data_c14 : Array (Fin 6048) := #[4888, 4889, 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146, 5147, 5148, 5149, 5150, 5151, 5152, 5153, 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182, 5183, 4032, 4033, 4035, 4034, 4037, 4036, 4218, 4219, 4220, 4221, 4222, 4223, 4039, 4038, 4042, 4043, 4040, 4041, 4052, 4053, 4050, 4051, 4054, 4055, 4184, 4185, 4186, 4187, 4182, 4183, 4118, 4119, 4116, 4117, 4121, 4120, 4060, 4061, 4058, 4059, 4056, 4057, 4197, 4196, 4198, 4199, 4194, 4195, 4173, 4172, 4174, 4175, 4170, 4171, 4154, 4155, 4153, 4152, 4156, 4157, 4130, 4131, 4133, 4132, 4129, 4128, 4105, 4104, 4108, 4109, 4107, 4106, 4165, 4164, 4169, 4168, 4166, 4167, 4064, 4065, 4063, 4062, 4066, 4067, 4123, 4122, 4125, 4124, 4126, 4127, 4048, 4049, 4046, 4047, 4044, 4045, 4081, 4080, 4083, 4082, 4085, 4084, 4098, 4099, 4100, 4101, 4102, 4103, 4189, 4188, 4191, 4190, 4193, 4192, 4212, 4213, 4215, 4214, 4217, 4216, 4159, 4158, 4161, 4160, 4163, 4162, 4142, 4143, 4141, 4140, 4144, 4145, 4095, 4094, 4092, 4093, 4096, 4097, 4075, 4074, 4079, 4078, 4077, 4076, 4114, 4115, 4113, 4112, 4111, 4110, 4202, 4203, 4204, 4205, 4201, 4200, 4086, 4087, 4091, 4090, 4088, 4089, 4177, 4176, 4179, 4178, 4181, 4180, 4134, 4135, 4139, 4138, 4137, 4136, 4206, 4207, 4209, 4208, 4211, 4210, 4070, 4071, 4072, 4073, 4068, 4069, 4148, 4149, 4147, 4146, 4151, 4150, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191, 5192, 5193, 5194, 5195] +private def clayworthEdgeOf_data_c15 : Array (Fin 6048) := #[5196, 5197, 5198, 5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373, 5374, 5375, 4807, 4806, 4809, 4808, 4810, 4811, 4824, 4825, 4828, 4829, 4826, 4827, 4981, 4980, 4985, 4984, 4982, 4983, 4804, 4805, 4802, 4803, 4800, 4801, 4955, 4954, 4952, 4953, 4950, 4951, 4836, 4837, 4838, 4839, 4840, 4841, 4852, 4853, 4848, 4849, 4851, 4850, 4886, 4887, 4888, 4889, 4884, 4885, 4832, 4833, 4834, 4835, 4831, 4830, 4958, 4959, 4960, 4961, 4957, 4956, 4973, 4972, 4968, 4969, 4971, 4970, 4934, 4935, 4937, 4936, 4933, 4932, 4947, 4946, 4949, 4948, 4945, 4944, 4911, 4910, 4913, 4912, 4908, 4909, 4930, 4931, 4926, 4927, 4929, 4928, 4896, 4897, 4898, 4899, 4901, 4900, 4902, 4903, 4904, 4905, 4907, 4906, 4819, 4818, 4822, 4823, 4820, 4821, 4866, 4867, 4869, 4868, 4870, 4871, 4975, 4974, 4976, 4977, 4979, 4978, 4882, 4883, 4880, 4881, 4879, 4878, 4894, 4895, 4893, 4892, 4890, 4891, 4862, 4863, 4864, 4865, 4860, 4861, 4921, 4920, 4923, 4922, 4925, 4924, 4855, 4854, 4856, 4857, 4859, 4858, 4872, 4873, 4874, 4875, 4876, 4877, 4962, 4963, 4964, 4965, 4966, 4967, 4914, 4915, 4919, 4918, 4917, 4916, 4847, 4846, 4844, 4845, 4843, 4842, 4942, 4943, 4938, 4939, 4941, 4940, 4816, 4817, 4815, 4814, 4813, 4812, 4988, 4989, 4986, 4987, 4990, 4991, 4225, 4224, 4226, 4227, 4229, 4228, 4402, 4403, 4400, 4401, 4399, 4398, 4317, 4316, 4318, 4319, 4315, 4314, 4404, 4405, 4408, 4409, 4407, 4406, 4230, 4231, 4234, 4235, 4232, 4233, 4246, 4247, 4244, 4245, 4242, 4243, 4259, 4258, 4254, 4255, 4257, 4256, 4266, 4267, 4268, 4269, 4270, 4271, 4313, 4312, 4311, 4310, 4309, 4308, 4378, 4379, 4376, 4377, 4374, 4375, 4394, 4395, 4397, 4396, 4392, 4393, 4275, 4274, 4273, 4272, 4277, 4276, 4358, 4359, 4361, 4360, 4356, 4357, 4299, 4298, 4297, 4296, 4301, 4300, 4338, 4339, 4342, 4343, 4341, 4340, 4239, 4238, 4240, 4241, 4236, 4237, 4290, 4291, 4292, 4293, 4295, 4294, 4369, 4368, 4372, 4373, 4370, 4371, 4336, 4337, 4335, 4334, 4332, 4333, 4350, 4351, 4355, 4354, 4353, 4352, 4327, 4326, 4330, 4331, 4328, 4329, 4286, 4287] +private def clayworthEdgeOf_data_c16 : Array (Fin 6048) := #[4289, 4288, 4285, 4284, 4345, 4344, 4349, 4348, 4347, 4346, 4302, 4303, 4306, 4307, 4304, 4305, 4283, 4282, 4278, 4279, 4281, 4280, 4250, 4251, 4248, 4249, 4252, 4253, 4320, 4321, 4324, 4325, 4322, 4323, 4261, 4260, 4264, 4265, 4262, 4263, 4387, 4386, 4388, 4389, 4390, 4391, 4364, 4365, 4367, 4366, 4362, 4363, 4381, 4380, 4383, 4382, 4385, 4384, 4414, 4415, 4411, 4410, 4412, 4413, 3168, 3169, 3171, 3170, 3172, 3173, 3180, 3181, 3185, 3184, 3182, 3183, 3353, 3352, 3350, 3351, 3348, 3349, 3355, 3354, 3358, 3359, 3357, 3356, 3189, 3188, 3191, 3190, 3187, 3186, 3196, 3197, 3192, 3193, 3195, 3194, 3214, 3215, 3210, 3211, 3213, 3212, 3198, 3199, 3202, 3203, 3200, 3201, 3226, 3227, 3222, 3223, 3225, 3224, 3295, 3294, 3296, 3297, 3298, 3299, 3259, 3258, 3260, 3261, 3263, 3262, 3300, 3301, 3304, 3305, 3302, 3303, 3310, 3311, 3308, 3309, 3306, 3307, 3286, 3287, 3285, 3284, 3282, 3283, 3178, 3179, 3176, 3177, 3174, 3175, 3228, 3229, 3232, 3233, 3231, 3230, 3241, 3240, 3243, 3242, 3244, 3245, 3324, 3325, 3328, 3329, 3326, 3327, 3342, 3343, 3344, 3345, 3346, 3347, 3250, 3251, 3249, 3248, 3246, 3247, 3272, 3273, 3270, 3271, 3274, 3275, 3255, 3254, 3256, 3257, 3253, 3252, 3289, 3288, 3293, 3292, 3291, 3290, 3333, 3332, 3334, 3335, 3330, 3331, 3238, 3239, 3237, 3236, 3235, 3234, 3318, 3319, 3323, 3322, 3321, 3320, 3264, 3265, 3268, 3269, 3266, 3267, 3206, 3207, 3208, 3209, 3204, 3205, 3337, 3336, 3338, 3339, 3340, 3341, 3315, 3314, 3317, 3316, 3313, 3312, 3221, 3220, 3218, 3219, 3216, 3217, 3279, 3278, 3276, 3277, 3281, 3280, 5376, 5377, 5378, 5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5390, 5388, 5389, 5391, 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5392, 5391, 5396, 5395, 5394, 5393, 5409, 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432, 5433, 5433, 5434, 5435, 5435, 5434, 5436, 5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454, 5455, 5455, 5454, 5456, 5456, 5428, 5427, 5430, 5429, 5432, 5431, 5457, 5458, 5459, 5460, 5461, 5462, 5449, 5448, 5453, 5452, 5451, 5450, 5460, 5459, 5457, 5458, 5462, 5461, 5416, 5415, 5418, 5417, 5420, 5419, 5437, 5436, 5439, 5438, 5440, 5441, 5446, 5447, 5445, 5444, 5443, 5442, 5426, 5425, 5422, 5421, 5423, 5424, 5463, 5464, 5463, 5464, 5465, 5465, 5397, 5398, 5401, 5402, 5399, 5400, 5466, 5467, 5468, 5469, 5470, 5471, 5412, 5411, 5410, 5409, 5413, 5414, 5467, 5466, 5469, 5468, 5471, 5470, 5404, 5403, 5407, 5408, 5406, 5405, 5379, 5378, 5377, 5376, 5381, 5380, 5386, 5387, 5382, 5383, 5384, 5385, 5203, 5202, 5207, 5206, 5205, 5204, 5366, 5367, 5365, 5364, 5369, 5368, 5279, 5278, 5275, 5274, 5277, 5276, 5372, 5373, 5375, 5374, 5370, 5371, 5185, 5184, 5189, 5188, 5186, 5187, 5210, 5211, 5208, 5209, 5212, 5213, 5343, 5342, 5340, 5341, 5344, 5345, 5216, 5217, 5219, 5218, 5215, 5214, 5359, 5358, 5361, 5360] +private def clayworthEdgeOf_data_c17 : Array (Fin 6048) := #[5362, 5363, 5239, 5238, 5243, 5242, 5241, 5240, 5283, 5282, 5285, 5284, 5280, 5281, 5323, 5322, 5327, 5326, 5325, 5324, 5333, 5332, 5331, 5330, 5328, 5329, 5299, 5298, 5301, 5300, 5303, 5302, 5221, 5220, 5222, 5223, 5224, 5225, 5305, 5304, 5309, 5308, 5306, 5307, 5262, 5263, 5265, 5264, 5266, 5267, 5270, 5271, 5269, 5268, 5272, 5273, 5250, 5251, 5252, 5253, 5255, 5254, 5347, 5346, 5351, 5350, 5348, 5349, 5316, 5317, 5319, 5318, 5320, 5321, 5293, 5292, 5295, 5294, 5297, 5296, 5247, 5246, 5245, 5244, 5249, 5248, 5313, 5312, 5310, 5311, 5315, 5314, 5256, 5257, 5259, 5258, 5260, 5261, 5353, 5352, 5355, 5354, 5357, 5356, 5339, 5338, 5336, 5337, 5334, 5335, 5287, 5286, 5290, 5291, 5289, 5288, 5230, 5231, 5228, 5229, 5226, 5227, 5236, 5237, 5234, 5235, 5232, 5233, 5194, 5195, 5193, 5192, 5190, 5191, 5199, 5198, 5201, 5200, 5197, 5196, 2593, 2592, 2595, 2594, 2596, 2597, 2689, 2688, 2693, 2692, 2691, 2690, 2781, 2780, 2779, 2778, 2783, 2782, 2745, 2744, 2746, 2747, 2742, 2743, 2610, 2611, 2612, 2613, 2615, 2614, 2632, 2633, 2629, 2628, 2631, 2630, 2673, 2672, 2671, 2670, 2674, 2675, 2754, 2755, 2759, 2758, 2757, 2756, 2617, 2616, 2619, 2618, 2620, 2621, 2694, 2695, 2698, 2699, 2696, 2697, 2726, 2727, 2725, 2724, 2728, 2729, 2701, 2700, 2703, 2702, 2705, 2704, 2741, 2740, 2737, 2736, 2738, 2739, 2722, 2723, 2718, 2719, 2721, 2720, 2677, 2676, 2679, 2678, 2681, 2680, 2682, 2683, 2684, 2685, 2686, 2687, 2646, 2647, 2649, 2648, 2650, 2651, 2749, 2748, 2753, 2752, 2751, 2750, 2715, 2714, 2713, 2712, 2716, 2717, 2774, 2775, 2772, 2773, 2776, 2777, 2669, 2668, 2667, 2666, 2665, 2664, 2707, 2706, 2711, 2710, 2708, 2709, 2731, 2730, 2733, 2732, 2735, 2734, 2652, 2653, 2654, 2655, 2656, 2657, 2662, 2663, 2660, 2661, 2658, 2659, 2763, 2762, 2765, 2764, 2760, 2761, 2644, 2645, 2643, 2642, 2640, 2641, 2609, 2608, 2606, 2607, 2604, 2605, 2767, 2766, 2768, 2769, 2770, 2771, 2637, 2636, 2639, 2638, 2635, 2634, 2622, 2623, 2627, 2626, 2624, 2625, 2599, 2598, 2602, 2603, 2601, 2600, 3735, 3734, 3737, 3736, 3733, 3732, 3648, 3649, 3653, 3652, 3651, 3650, 3685, 3684, 3689, 3688, 3687, 3686, 3714, 3715, 3716, 3717, 3719, 3718, 3663, 3662, 3665, 3664, 3661, 3660, 3837, 3836, 3838, 3839, 3834, 3835, 3826, 3827, 3822, 3823, 3824, 3825, 3697, 3696, 3701, 3700, 3698, 3699, 3793, 3792, 3797, 3796, 3795, 3794, 3764, 3765, 3762, 3763, 3766, 3767, 3740, 3741, 3742, 3743, 3739, 3738, 3784, 3785, 3781, 3780, 3783, 3782, 3753, 3752, 3754, 3755, 3751, 3750, 3726, 3727, 3728, 3729, 3730, 3731, 3658, 3659, 3654, 3655, 3657, 3656, 3805, 3804, 3808, 3809, 3806, 3807, 3828, 3829, 3832, 3833, 3830, 3831, 3775, 3774, 3779, 3778, 3777, 3776, 3744, 3745, 3746, 3747, 3748, 3749, 3724, 3725, 3722, 3723, 3720, 3721, 3769, 3768, 3771, 3770, 3772, 3773, 3757, 3756, 3758, 3759, 3760, 3761, 3702, 3703, 3704, 3705, 3706, 3707, 3819, 3818, 3821, 3820, 3817, 3816, 3713, 3712, 3708, 3709, 3710, 3711, 3799, 3798, 3802, 3803, 3800, 3801, 3671, 3670, 3669, 3668, 3667, 3666, 3672, 3673, 3676, 3677, 3674, 3675] +private def clayworthEdgeOf_data_c18 : Array (Fin 6048) := #[3791, 3790, 3787, 3786, 3789, 3788, 3693, 3692, 3695, 3694, 3691, 3690, 3811, 3810, 3813, 3812, 3814, 3815, 3682, 3683, 3680, 3681, 3678, 3679, 3846, 3847, 3848, 3849, 3851, 3850, 3853, 3852, 3856, 3857, 3854, 3855, 4022, 4023, 4020, 4021, 4025, 4024, 3935, 3934, 3933, 3932, 3931, 3930, 4028, 4029, 4027, 4026, 4030, 4031, 3844, 3845, 3842, 3843, 3840, 3841, 3863, 3862, 3858, 3859, 3860, 3861, 3877, 3876, 3881, 3880, 3878, 3879, 3920, 3921, 3918, 3919, 3922, 3923, 3868, 3869, 3867, 3866, 3865, 3864, 4019, 4018, 4017, 4016, 4014, 4015, 3882, 3883, 3886, 3887, 3884, 3885, 4004, 4005, 4002, 4003, 4006, 4007, 3980, 3981, 3983, 3982, 3979, 3978, 3939, 3938, 3941, 3940, 3937, 3936, 3994, 3995, 3992, 3993, 3991, 3990, 3962, 3963, 3960, 3961, 3964, 3965, 3944, 3945, 3947, 3946, 3942, 3943, 3989, 3988, 3987, 3986, 3984, 3985, 3925, 3924, 3926, 3927, 3928, 3929, 3901, 3900, 3903, 3902, 3905, 3904, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3915, 3914, 3917, 3916, 3973, 3972, 3977, 3976, 3974, 3975, 3966, 3967, 3969, 3968, 3971, 3970, 3894, 3895, 3896, 3897, 3898, 3899, 3872, 3873, 3870, 3871, 3875, 3874, 3948, 3949, 3953, 3952, 3950, 3951, 4008, 4009, 4010, 4011, 4012, 4013, 3999, 3998, 3996, 3997, 4000, 4001, 3955, 3954, 3959, 3958, 3957, 3956, 3892, 3893, 3890, 3891, 3888, 3889, 5472, 5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567, 5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660, 5661, 5662, 5663, 2989, 2988, 2990, 2991, 2993, 2992, 2976, 2977, 2979, 2978, 2981, 2980, 3158, 3159, 3156, 3157, 3161, 3160, 3078, 3079, 3082, 3083, 3080, 3081, 2987, 2986, 2983, 2982, 2985, 2984, 3011, 3010, 3008, 3009, 3006, 3007, 3023, 3022, 3019, 3018, 3020, 3021, 3070, 3071, 3068, 3069, 3066, 3067, 3144, 3145, 3146, 3147, 3148, 3149, 3084, 3085, 3086, 3087, 3088, 3089, 3049, 3048, 3052, 3053, 3051, 3050, 3121, 3120, 3125, 3124, 3123, 3122, 3130, 3131, 3128, 3129, 3127, 3126, 3104, 3105, 3107, 3106, 3102, 3103, 2998, 2999, 2995, 2994, 2996, 2997, 3046, 3047] +private def clayworthEdgeOf_data_c19 : Array (Fin 6048) := #[3043, 3042, 3044, 3045, 3113, 3112, 3111, 3110, 3109, 3108, 3064, 3065, 3063, 3062, 3060, 3061, 3074, 3075, 3077, 3076, 3073, 3072, 3041, 3040, 3037, 3036, 3038, 3039, 3115, 3114, 3117, 3116, 3118, 3119, 3030, 3031, 3033, 3032, 3034, 3035, 3058, 3059, 3056, 3057, 3055, 3054, 3140, 3141, 3143, 3142, 3138, 3139, 3133, 3132, 3135, 3134, 3136, 3137, 3091, 3090, 3095, 3094, 3092, 3093, 3150, 3151, 3152, 3153, 3155, 3154, 3026, 3027, 3028, 3029, 3024, 3025, 3096, 3097, 3100, 3101, 3098, 3099, 3017, 3016, 3014, 3015, 3013, 3012, 3000, 3001, 3002, 3003, 3004, 3005, 3166, 3167, 3162, 3163, 3164, 3165, 5664, 5665, 5666, 5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678, 5679, 5680, 5681, 5682, 5682, 5683, 5684, 5683, 5684, 5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702, 5688, 5687, 5689, 5690, 5686, 5685, 5698, 5697, 5701, 5702, 5700, 5699, 5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5727, 5728, 5729, 5729, 5675, 5674, 5672, 5673, 5670, 5671, 5730, 5731, 5732, 5733, 5734, 5735, 5726, 5725, 5724, 5723, 5722, 5721, 5736, 5737, 5738, 5739, 5740, 5741, 5713, 5714, 5710, 5709, 5712, 5711, 5742, 5742, 5743, 5744, 5743, 5744, 5739, 5738, 5736, 5737, 5740, 5741, 5716, 5715, 5719, 5720, 5717, 5718, 5745, 5746, 5747, 5748, 5749, 5750, 5704, 5703, 5707, 5708, 5706, 5705, 5695, 5696, 5693, 5694, 5691, 5692, 5751, 5752, 5753, 5754, 5755, 5756, 5749, 5750, 5745, 5746, 5747, 5748, 5752, 5751, 5753, 5754, 5756, 5755, 5731, 5730, 5734, 5735, 5732, 5733, 5668, 5669, 5666, 5667, 5664, 5665, 5678, 5679, 5681, 5680, 5677, 5676, 5757, 5758, 5758, 5757, 5759, 5759, 1248, 1249, 1251, 1250, 1252, 1253, 1355, 1354, 1353, 1352, 1351, 1350, 1432, 1433, 1430, 1431, 1428, 1429, 1261, 1260, 1265, 1264, 1263, 1262, 1288, 1289, 1284, 1285, 1287, 1286, 1407, 1406, 1409, 1408, 1405, 1404, 1297, 1296, 1299, 1298, 1300, 1301, 1331, 1330, 1328, 1329, 1326, 1327, 1268, 1269, 1271, 1270, 1266, 1267, 1424, 1425, 1427, 1426, 1422, 1423, 1272, 1273, 1277, 1276, 1274, 1275, 1302, 1303, 1307, 1306, 1304, 1305, 1393, 1392, 1396, 1397, 1394, 1395, 1358, 1359, 1360, 1361, 1356, 1357, 1364, 1365, 1366, 1367, 1363, 1362, 1378, 1379, 1376, 1377, 1374, 1375, 1282, 1283, 1278, 1279, 1280, 1281, 1338, 1339, 1340, 1341, 1343, 1342, 1345, 1344, 1347, 1346, 1348, 1349, 1256, 1257, 1258, 1259, 1255, 1254, 1410, 1411, 1413, 1412, 1415, 1414, 1380, 1381, 1385, 1384, 1382, 1383, 1389, 1388, 1386, 1387, 1390, 1391, 1336, 1337, 1334, 1335, 1332, 1333, 1308, 1309, 1313, 1312, 1310, 1311, 1315, 1314, 1319, 1318, 1317, 1316, 1324, 1325, 1322, 1323, 1321, 1320, 1400, 1401, 1398, 1399, 1402, 1403, 1290, 1291, 1294, 1295, 1292, 1293, 1416, 1417, 1418, 1419, 1420, 1421, 1368, 1369, 1371, 1370, 1372, 1373, 1436, 1437, 1435, 1434, 1439, 1438, 4615, 4614, 4617, 4616, 4619, 4618, 4720, 4721, 4716, 4717, 4719, 4718, 4794, 4795, 4798, 4799] +private def clayworthEdgeOf_data_c20 : Array (Fin 6048) := #[4796, 4797, 4612, 4613, 4610, 4611, 4608, 4609, 4631, 4630, 4627, 4626, 4629, 4628, 4644, 4645, 4646, 4647, 4648, 4649, 4787, 4786, 4784, 4785, 4783, 4782, 4636, 4637, 4633, 4632, 4635, 4634, 4660, 4661, 4656, 4657, 4659, 4658, 4706, 4707, 4705, 4704, 4709, 4708, 4792, 4793, 4788, 4789, 4791, 4790, 4665, 4664, 4663, 4662, 4667, 4666, 4767, 4766, 4769, 4768, 4765, 4764, 4754, 4755, 4752, 4753, 4756, 4757, 4722, 4723, 4725, 4724, 4726, 4727, 4688, 4689, 4686, 4687, 4690, 4691, 4770, 4771, 4774, 4775, 4773, 4772, 4737, 4736, 4739, 4738, 4735, 4734, 4638, 4639, 4640, 4641, 4643, 4642, 4750, 4751, 4748, 4749, 4747, 4746, 4672, 4673, 4668, 4669, 4671, 4670, 4703, 4702, 4700, 4701, 4699, 4698, 4759, 4758, 4760, 4761, 4763, 4762, 4728, 4729, 4733, 4732, 4731, 4730, 4712, 4713, 4714, 4715, 4710, 4711, 4682, 4683, 4680, 4681, 4684, 4685, 4743, 4742, 4740, 4741, 4745, 4744, 4697, 4696, 4694, 4695, 4692, 4693, 4677, 4676, 4678, 4679, 4675, 4674, 4780, 4781, 4776, 4777, 4779, 4778, 4654, 4655, 4652, 4653, 4651, 4650, 4621, 4620, 4623, 4622, 4624, 4625, 1927, 1926, 1929, 1928, 1931, 1930, 2108, 2109, 2106, 2107, 2110, 2111, 1924, 1925, 1923, 1922, 1921, 1920, 1936, 1937, 1934, 1935, 1933, 1932, 1940, 1941, 1942, 1943, 1938, 1939, 2075, 2074, 2073, 2072, 2071, 2070, 1950, 1951, 1954, 1955, 1952, 1953, 2088, 2089, 2090, 2091, 2093, 2092, 1968, 1969, 1970, 1971, 1973, 1972, 2065, 2064, 2067, 2066, 2068, 2069, 2018, 2019, 2020, 2021, 2016, 2017, 1989, 1988, 1986, 1987, 1990, 1991, 2038, 2039, 2036, 2037, 2035, 2034, 1958, 1959, 1957, 1956, 1960, 1961, 2052, 2053, 2056, 2057, 2054, 2055, 2004, 2005, 2006, 2007, 2008, 2009, 2011, 2010, 2013, 2012, 2014, 2015, 1974, 1975, 1979, 1978, 1977, 1976, 2048, 2049, 2047, 2046, 2050, 2051, 2102, 2103, 2100, 2101, 2105, 2104, 2023, 2022, 2026, 2027, 2025, 2024, 2002, 2003, 2001, 2000, 1998, 1999, 1982, 1983, 1980, 1981, 1984, 1985, 2060, 2061, 2058, 2059, 2062, 2063, 2040, 2041, 2042, 2043, 2044, 2045, 1992, 1993, 1994, 1995, 1996, 1997, 2085, 2084, 2087, 2086, 2083, 2082, 1948, 1949, 1946, 1947, 1944, 1945, 2094, 2095, 2097, 2096, 2098, 2099, 1966, 1967, 1965, 1964, 1963, 1962, 2077, 2076, 2079, 2078, 2081, 2080, 2030, 2031, 2028, 2029, 2032, 2033, 5760, 5761, 5762, 5763, 5764, 5765, 5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846, 5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891] +private def clayworthEdgeOf_data_c21 : Array (Fin 6048) := #[5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950, 5951, 5472, 5473, 5476, 5477, 5474, 5475, 5552, 5553, 5554, 5555, 5551, 5550, 5653, 5652, 5657, 5656, 5654, 5655, 5488, 5489, 5484, 5485, 5486, 5487, 5478, 5479, 5481, 5480, 5482, 5483, 5497, 5496, 5499, 5498, 5500, 5501, 5623, 5622, 5627, 5626, 5625, 5624, 5651, 5650, 5648, 5649, 5647, 5646, 5599, 5598, 5601, 5600, 5602, 5603, 5556, 5557, 5560, 5561, 5559, 5558, 5615, 5614, 5612, 5613, 5610, 5611, 5588, 5589, 5590, 5591, 5587, 5586, 5521, 5520, 5524, 5525, 5522, 5523, 5605, 5604, 5607, 5606, 5609, 5608, 5576, 5577, 5579, 5578, 5574, 5575, 5538, 5539, 5541, 5540, 5543, 5542, 5547, 5546, 5545, 5544, 5549, 5548, 5513, 5512, 5509, 5508, 5511, 5510, 5580, 5581, 5584, 5585, 5582, 5583, 5643, 5642, 5641, 5640, 5645, 5644, 5593, 5592, 5595, 5594, 5597, 5596, 5569, 5568, 5572, 5573, 5570, 5571, 5534, 5535, 5537, 5536, 5532, 5533, 5517, 5516, 5519, 5518, 5515, 5514, 5527, 5526, 5531, 5530, 5529, 5528, 5639, 5638, 5636, 5637, 5634, 5635, 5616, 5617, 5618, 5619, 5620, 5621, 5563, 5562, 5566, 5567, 5564, 5565, 5504, 5505, 5506, 5507, 5502, 5503, 5628, 5629, 5631, 5630, 5632, 5633, 5490, 5491, 5494, 5495, 5493, 5492, 5660, 5661, 5658, 5659, 5663, 5662, 2311, 2310, 2313, 2312, 2314, 2315, 2321, 2320, 2319, 2318, 2317, 2316, 2305, 2304, 2306, 2307, 2309, 2308, 2488, 2489, 2486, 2487, 2484, 2485, 2495, 2494, 2491, 2490, 2493, 2492, 2344, 2345, 2340, 2341, 2342, 2343, 2362, 2363, 2358, 2359, 2360, 2361, 2326, 2327, 2325, 2324, 2323, 2322, 2472, 2473, 2477, 2476, 2474, 2475, 2330, 2331, 2329, 2328, 2332, 2333, 2364, 2365, 2366, 2367, 2368, 2369, 2462, 2463, 2464, 2465, 2460, 2461, 2421, 2420, 2422, 2423, 2418, 2419, 2396, 2397, 2394, 2395, 2398, 2399, 2446, 2447, 2444, 2445, 2442, 2443, 2452, 2453, 2450, 2451, 2448, 2449, 2336, 2337, 2334, 2335, 2338, 2339, 2412, 2413, 2414, 2415, 2416, 2417, 2376, 2377, 2381, 2380, 2378, 2379, 2467, 2466, 2470, 2471, 2468, 2469, 2424, 2425, 2429, 2428, 2427, 2426, 2480, 2481, 2479, 2478, 2482, 2483, 2410, 2411, 2406, 2407, 2408, 2409, 2437, 2436, 2439, 2438, 2440, 2441, 2390, 2391, 2389, 2388, 2392, 2393, 2430, 2431, 2433, 2432, 2435, 2434, 2375, 2374, 2371, 2370, 2373, 2372, 2405, 2404, 2403, 2402, 2401, 2400, 2386, 2387, 2382, 2383, 2384, 2385, 2349, 2348, 2350, 2351, 2347, 2346, 2454, 2455, 2456, 2457, 2458, 2459, 2352, 2353, 2356, 2357, 2354, 2355, 5782, 5783, 5779, 5778, 5780, 5781, 5761, 5760, 5763, 5762, 5765, 5764, 5950, 5951, 5948, 5949, 5947, 5946, 5861, 5860, 5859, 5858, 5857, 5856, 5788, 5789, 5787, 5786, 5784, 5785, 5926, 5927, 5924, 5925, 5922, 5923, 5797, 5796, 5801, 5800, 5799, 5798, 5841, 5840, 5838, 5839, 5843, 5842, 5790, 5791, 5792, 5793, 5795, 5794, 5928, 5929] +private def clayworthEdgeOf_data_c22 : Array (Fin 6048) := #[5933, 5932, 5930, 5931, 5893, 5892, 5896, 5897, 5894, 5895, 5914, 5915, 5912, 5913, 5911, 5910, 5882, 5883, 5881, 5880, 5884, 5885, 5820, 5821, 5824, 5825, 5822, 5823, 5902, 5903, 5900, 5901, 5898, 5899, 5871, 5870, 5872, 5873, 5869, 5868, 5874, 5875, 5878, 5879, 5877, 5876, 5850, 5851, 5852, 5853, 5855, 5854, 5771, 5770, 5769, 5768, 5766, 5767, 5814, 5815, 5818, 5819, 5817, 5816, 5941, 5940, 5944, 5945, 5942, 5943, 5849, 5848, 5847, 5846, 5845, 5844, 5889, 5888, 5887, 5886, 5891, 5890, 5826, 5827, 5831, 5830, 5829, 5828, 5837, 5836, 5834, 5835, 5832, 5833, 5917, 5916, 5919, 5918, 5920, 5921, 5807, 5806, 5805, 5804, 5803, 5802, 5934, 5935, 5937, 5936, 5938, 5939, 5909, 5908, 5904, 5905, 5906, 5907, 5863, 5862, 5867, 5866, 5865, 5864, 5812, 5813, 5809, 5808, 5810, 5811, 5776, 5777, 5774, 5775, 5772, 5773, 5014, 5015, 5010, 5011, 5012, 5013, 4992, 4993, 4994, 4995, 4997, 4996, 5181, 5180, 5179, 5178, 5183, 5182, 5028, 5029, 5033, 5032, 5030, 5031, 5053, 5052, 5056, 5057, 5055, 5054, 5090, 5091, 5088, 5089, 5093, 5092, 5021, 5020, 5018, 5019, 5016, 5017, 5149, 5148, 5152, 5153, 5150, 5151, 5167, 5166, 5168, 5169, 5170, 5171, 5061, 5060, 5063, 5062, 5058, 5059, 5130, 5131, 5134, 5135, 5132, 5133, 5100, 5101, 5104, 5105, 5102, 5103, 5126, 5127, 5124, 5125, 5128, 5129, 5108, 5109, 5110, 5111, 5107, 5106, 5136, 5137, 5140, 5141, 5138, 5139, 5113, 5112, 5117, 5116, 5114, 5115, 5037, 5036, 5035, 5034, 5039, 5038, 5094, 5095, 5096, 5097, 5098, 5099, 5009, 5008, 5004, 5005, 5007, 5006, 5118, 5119, 5123, 5122, 5121, 5120, 5086, 5087, 5085, 5084, 5083, 5082, 5072, 5073, 5071, 5070, 5075, 5074, 5081, 5080, 5077, 5076, 5079, 5078, 5163, 5162, 5165, 5164, 5161, 5160, 5068, 5069, 5066, 5067, 5064, 5065, 5142, 5143, 5146, 5147, 5145, 5144, 5026, 5027, 5025, 5024, 5022, 5023, 5044, 5045, 5040, 5041, 5042, 5043, 5172, 5173, 5175, 5174, 5176, 5177, 5155, 5154, 5157, 5156, 5159, 5158, 5051, 5050, 5046, 5047, 5048, 5049, 5003, 5002, 5001, 5000, 4999, 4998, 2112, 2113, 2116, 2117, 2115, 2114, 2296, 2297, 2295, 2294, 2292, 2293, 2204, 2205, 2206, 2207, 2202, 2203, 2272, 2273, 2270, 2271, 2269, 2268, 2125, 2124, 2128, 2129, 2126, 2127, 2136, 2137, 2140, 2141, 2138, 2139, 2193, 2192, 2190, 2191, 2195, 2194, 2123, 2122, 2120, 2121, 2119, 2118, 2291, 2290, 2288, 2289, 2286, 2287, 2151, 2150, 2149, 2148, 2153, 2152, 2211, 2210, 2212, 2213, 2208, 2209, 2217, 2216, 2219, 2218, 2215, 2214, 2175, 2174, 2172, 2173, 2176, 2177, 2251, 2250, 2254, 2255, 2252, 2253, 2260, 2261, 2259, 2258, 2257, 2256, 2135, 2134, 2133, 2132, 2130, 2131, 2238, 2239, 2242, 2243, 2241, 2240, 2199, 2198, 2197, 2196, 2201, 2200, 2161, 2160, 2164, 2165, 2162, 2163, 2244, 2245, 2247, 2246, 2249, 2248, 2234, 2235, 2232, 2233, 2236, 2237, 2158, 2159, 2155, 2154, 2156, 2157, 2178, 2179, 2180, 2181, 2182, 2183, 2188, 2189, 2186, 2187, 2184, 2185, 2285, 2284, 2282, 2283, 2281, 2280, 2170, 2171, 2169, 2168, 2167, 2166, 2220, 2221, 2225, 2224, 2222, 2223, 2265, 2264, 2262, 2263, 2266, 2267, 2144, 2145, 2146, 2147] +private def clayworthEdgeOf_data_c23 : Array (Fin 6048) := #[2142, 2143, 2275, 2274, 2276, 2277, 2278, 2279, 2227, 2226, 2230, 2231, 2228, 2229, 2303, 2302, 2300, 2301, 2298, 2299, 396, 397, 399, 398, 401, 400, 416, 417, 418, 419, 415, 414, 385, 384, 386, 387, 388, 389, 561, 560, 558, 559, 562, 563, 568, 569, 564, 565, 567, 566, 392, 393, 394, 395, 390, 391, 432, 433, 434, 435, 437, 436, 420, 421, 425, 424, 423, 422, 440, 441, 438, 439, 442, 443, 532, 533, 528, 529, 530, 531, 556, 557, 555, 554, 552, 553, 534, 535, 536, 537, 538, 539, 446, 447, 448, 449, 445, 444, 456, 457, 461, 460, 458, 459, 518, 519, 520, 521, 517, 516, 495, 494, 496, 497, 492, 493, 462, 463, 464, 465, 466, 467, 512, 513, 514, 515, 511, 510, 429, 428, 427, 426, 431, 430, 490, 491, 489, 488, 486, 487, 451, 450, 454, 455, 453, 452, 403, 402, 407, 406, 405, 404, 547, 546, 551, 550, 549, 548, 504, 505, 507, 506, 509, 508, 473, 472, 468, 469, 471, 470, 499, 498, 503, 502, 501, 500, 482, 483, 480, 481, 485, 484, 526, 527, 524, 525, 522, 523, 542, 543, 540, 541, 545, 544, 477, 476, 475, 474, 479, 478, 413, 412, 408, 409, 410, 411, 573, 572, 574, 575, 571, 570, 775, 774, 777, 776, 778, 779, 769, 768, 771, 770, 773, 772, 951, 950, 948, 949, 952, 953, 959, 958, 955, 954, 957, 956, 805, 804, 806, 807, 808, 809, 920, 921, 918, 919, 922, 923, 792, 793, 795, 794, 797, 796, 836, 837, 835, 834, 839, 838, 800, 801, 802, 803, 799, 798, 943, 942, 945, 944, 947, 946, 901, 900, 905, 904, 903, 902, 885, 884, 883, 882, 886, 887, 829, 828, 833, 832, 831, 830, 910, 911, 909, 908, 906, 907, 860, 861, 862, 863, 858, 859, 880, 881, 879, 878, 876, 877, 840, 841, 842, 843, 844, 845, 847, 846, 850, 851, 848, 849, 786, 787, 790, 791, 788, 789, 821, 820, 817, 816, 819, 818, 924, 925, 928, 929, 926, 927, 870, 871, 875, 874, 873, 872, 896, 897, 895, 894, 898, 899, 890, 891, 888, 889, 892, 893, 865, 864, 867, 866, 869, 868, 810, 811, 813, 812, 815, 814, 941, 940, 936, 937, 939, 938, 824, 825, 826, 827, 822, 823, 915, 914, 912, 913, 917, 916, 852, 853, 857, 856, 855, 854, 932, 933, 930, 931, 934, 935, 784, 785, 782, 783, 781, 780, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963, 5953, 5952, 5954, 5955, 5957, 5956, 5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972, 5973, 5974, 5975, 5962, 5963, 5959, 5958, 5960, 5961, 5976, 5976, 5977, 5978, 5977, 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995, 5996, 5981, 5982, 5984, 5983, 5980, 5979, 5997, 5998, 5999, 6000, 6001, 6002, 5991, 5992, 5994, 5993, 5995, 5996, 6003, 6004, 6005, 6006, 6007, 6008, 6009, 6010, 6011, 6012, 6013, 6014, 6015, 6016, 6017, 6018, 6019, 6020] +private def clayworthEdgeOf_data_c24 : Array (Fin 6048) := #[6021, 6021, 6022, 6023, 6022, 6023, 6024, 6025, 6026, 6027, 6028, 6029, 6030, 6030, 6031, 6032, 6031, 6032, 5974, 5975, 5970, 5971, 5973, 5972, 6008, 6007, 6004, 6003, 6006, 6005, 6019, 6020, 6016, 6015, 6018, 6017, 6033, 6034, 6035, 6036, 6037, 6038, 6037, 6038, 6035, 6036, 6033, 6034, 6028, 6029, 6026, 6027, 6025, 6024, 6039, 6040, 6041, 6042, 6043, 6044, 6009, 6010, 6013, 6014, 6011, 6012, 6045, 6045, 6046, 6047, 6047, 6046, 5990, 5989, 5987, 5988, 5986, 5985, 6041, 6042, 6040, 6039, 6043, 6044, 6002, 6001, 5999, 6000, 5997, 5998, 5968, 5969, 5967, 5966, 5965, 5964] + +private def clayworthEdgeOf_data : Array (Fin 6048) := + clayworthEdgeOf_data_c0 ++ clayworthEdgeOf_data_c1 ++ clayworthEdgeOf_data_c2 ++ clayworthEdgeOf_data_c3 ++ clayworthEdgeOf_data_c4 ++ clayworthEdgeOf_data_c5 ++ clayworthEdgeOf_data_c6 ++ clayworthEdgeOf_data_c7 ++ clayworthEdgeOf_data_c8 ++ clayworthEdgeOf_data_c9 ++ clayworthEdgeOf_data_c10 ++ clayworthEdgeOf_data_c11 ++ clayworthEdgeOf_data_c12 ++ clayworthEdgeOf_data_c13 ++ clayworthEdgeOf_data_c14 ++ clayworthEdgeOf_data_c15 ++ clayworthEdgeOf_data_c16 ++ clayworthEdgeOf_data_c17 ++ clayworthEdgeOf_data_c18 ++ clayworthEdgeOf_data_c19 ++ clayworthEdgeOf_data_c20 ++ clayworthEdgeOf_data_c21 ++ clayworthEdgeOf_data_c22 ++ clayworthEdgeOf_data_c23 ++ clayworthEdgeOf_data_c24 + +private def clayworthFaceOf_data_c0 : Array (Fin 1008) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 5, 4, 1, 0, 3, 2, 4, 5, 1, 0, 3, 2, 12, 13, 12, 13, 13, 12, 14, 15, 15, 14, 14, 15, 2, 3, 4, 5, 0, 1, 14, 15, 15, 14, 15, 14, 7, 6, 8, 9, 11, 10, 8, 9, 7, 6, 11, 10, 10, 11, 9, 8, 6, 7, 1, 0, 2, 3, 5, 4, 14, 15, 14, 15, 15, 14, 12, 13, 13, 12, 12, 13, 5, 4, 3, 2, 1, 0, 4, 5, 0, 1, 3, 2, 11, 10, 7, 6, 8, 9, 3, 2, 4, 5, 0, 1, 2, 3, 5, 4, 1, 0, 10, 11, 7, 6, 9, 8, 1, 0, 5, 4, 2, 3, 11, 10, 8, 9, 6, 7, 7, 6, 10, 11, 9, 8, 14, 15, 15, 14, 14, 15, 2, 3, 5, 4, 0, 1, 13, 12, 12, 13, 12, 13, 10, 11, 9, 8, 7, 6, 9, 8, 10, 11, 7, 6, 6, 7, 10, 11, 9, 8, 4, 5, 0, 1, 3, 2, 12, 13, 12, 13, 13, 12, 10, 11, 6, 7, 8, 9, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323] +private def clayworthFaceOf_data_c1 : Array (Fin 1008) := #[324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 21, 20, 17, 16, 19, 18, 195, 194, 190, 191, 192, 193, 162, 163, 161, 160, 165, 164, 80, 81, 77, 76, 78, 79, 183, 182, 180, 181, 179, 178, 154, 155, 158, 159, 157, 156, 64, 65, 66, 67, 68, 69, 207, 206, 205, 204, 202, 203, 175, 174, 177, 176, 173, 172, 168, 169, 167, 166, 171, 170, 128, 129, 127, 126, 124, 125, 34, 35, 39, 38, 36, 37, 91, 90, 88, 89, 93, 92, 152, 153, 149, 148, 151, 150, 101, 100, 105, 104, 103, 102, 57, 56, 52, 53, 54, 55, 43, 42, 45, 44, 40, 41, 111, 110, 107, 106, 109, 108, 188, 189, 184, 185, 187, 186, 33, 32, 31, 30, 28, 29, 144, 145, 147, 146, 143, 142, 62, 63, 58, 59, 60, 61, 73, 72, 75, 74, 70, 71, 46, 47, 48, 49, 50, 51, 137, 136, 138, 139, 141, 140, 201, 200, 197, 196, 198, 199, 94, 95, 97, 96, 98, 99, 115, 114, 113, 112, 117, 116, 133, 132, 134, 135, 131, 130, 85, 84, 82, 83, 86, 87, 123, 122, 119, 118, 121, 120, 22, 23, 26, 27, 25, 24, 19, 18, 16, 17, 21, 20, 186, 187, 184, 185, 189, 188, 68, 69, 65, 64, 66, 67, 196, 197, 198, 199, 200, 201, 167, 166, 170, 171, 168, 169, 87, 86, 83, 82, 85, 84, 194, 195, 193, 192] +private def clayworthFaceOf_data_c2 : Array (Fin 1008) := #[191, 190, 130, 131, 133, 132, 134, 135, 116, 117, 112, 113, 114, 115, 24, 25, 26, 27, 22, 23, 51, 50, 47, 46, 48, 49, 44, 45, 43, 42, 41, 40, 79, 78, 80, 81, 77, 76, 126, 127, 124, 125, 128, 129, 179, 178, 180, 181, 183, 182, 54, 55, 57, 56, 52, 53, 29, 28, 30, 31, 32, 33, 173, 172, 174, 175, 177, 176, 59, 58, 63, 62, 61, 60, 108, 109, 110, 111, 106, 107, 118, 119, 122, 123, 121, 120, 91, 90, 93, 92, 88, 89, 71, 70, 73, 72, 75, 74, 205, 204, 203, 202, 207, 206, 157, 156, 155, 154, 159, 158, 102, 103, 100, 101, 104, 105, 36, 37, 34, 35, 38, 39, 147, 146, 143, 142, 144, 145, 138, 139, 140, 141, 136, 137, 160, 161, 162, 163, 165, 164, 148, 149, 153, 152, 150, 151, 96, 97, 99, 98, 95, 94, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 615, 614, 612, 613, 610, 611, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 642, 643, 644, 645, 641, 640, 652, 653, 654, 655, 656, 657, 605, 604, 609, 608, 606, 607, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 660, 661, 659, 658, 663, 662, 631, 630, 633, 632, 628, 629, 653, 652, 655, 654, 657, 656, 676, 677, 678, 679, 680, 681, 624, 625, 626, 627, 622, 623, 670, 671, 673, 672, 675, 674, 593, 592, 597, 596, 595, 594, 682, 683, 684, 685, 686, 687, 664, 665, 666, 667, 668, 669, 639, 638, 637, 636, 635, 634, 619, 618, 620, 621, 617, 616, 599, 598, 601, 600, 602, 603, 684, 685, 687, 686, 682, 683, 649, 648, 651, 650, 646, 647, 678, 679, 676, 677, 680, 681, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843] +private def clayworthFaceOf_data_c3 : Array (Fin 1008) := #[844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 881, 880, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 902, 903, 905, 904, 900, 901, 892, 893, 888, 889, 890, 891, 906, 907, 906, 907, 907, 906, 908, 909, 910, 911, 912, 913, 909, 908, 911, 910, 912, 913, 911, 910, 913, 912, 909, 908, 914, 915, 916, 917, 918, 919, 920, 921, 921, 920, 921, 920, 922, 923, 922, 923, 923, 922, 888, 889, 890, 891, 892, 893, 924, 925, 926, 927, 928, 929, 930, 931, 931, 930, 930, 931, 894, 895, 898, 899, 897, 896, 916, 917, 918, 919, 914, 915, 924, 925, 926, 927, 929, 928, 886, 887, 884, 885, 882, 883, 904, 905, 902, 903, 901, 900, 932, 933, 933, 932, 933, 932, 929, 928, 926, 927, 924, 925, 884, 885, 886, 887, 882, 883, 934, 935, 934, 935, 935, 934, 936, 937, 938, 939, 940, 941, 898, 899, 894, 895, 897, 896, 938, 939, 941, 940, 936, 937, 918, 919, 917, 916, 914, 915, 942, 943, 942, 943, 943, 942, 940, 941, 939, 938, 937, 936, 784, 785, 788, 789, 786, 787, 734, 735, 733, 732, 731, 730, 803, 802, 807, 806, 804, 805, 852, 853, 854, 855, 851, 850, 695, 694, 699, 698, 696, 697, 757, 756, 755, 754, 758, 759, 797, 796, 801, 800, 798, 799, 808, 809, 811, 810, 813, 812, 753, 752, 750, 751, 748, 749, 876, 877, 879, 878, 875, 874, 762, 763, 760, 761, 764, 765, 713, 712, 717, 716, 715, 714, 829, 828, 831, 830, 827, 826, 707, 706, 709, 708, 711, 710, 846, 847, 845, 844, 849, 848, 814, 815, 819, 818, 816, 817, 869, 868, 870, 871, 873, 872, 739, 738, 740, 741, 736, 737, 692, 693, 691, 690, 689, 688, 822, 823, 820, 821, 825, 824, 772, 773, 774, 775, 776, 777, 724, 725, 727, 726, 728, 729, 865, 864, 867, 866, 863, 862, 843, 842, 840, 841, 839, 838, 857, 856, 860, 861, 858, 859, 743, 742, 746, 747, 744, 745, 778, 779, 780, 781, 783, 782, 700, 701, 703, 702, 705, 704, 790, 791, 793, 792, 795, 794, 720, 721, 718, 719, 722, 723, 768, 769, 767, 766, 771, 770, 833, 832, 836, 837, 835, 834, 777, 776, 774, 775, 773, 772, 860, 861, 859, 858, 857, 856, 846, 847, 849, 848, 845, 844, 694, 695, 698, 699, 697, 696, 853, 852, 854, 855, 851, 850, 712, 713, 715, 714, 717, 716, 756, 757, 755, 754, 758, 759, 810, 811, 812, 813, 809, 808, 800, 801, 799, 798, 796, 797, 817, 816, 819, 818, 815, 814, 842, 843, 840, 841, 839, 838, 762, 763, 760, 761, 764, 765, 745, 744, 747, 746, 743, 742, 807, 806] +private def clayworthFaceOf_data_c4 : Array (Fin 1008) := #[803, 802, 804, 805, 693, 692, 691, 690, 689, 688, 791, 790, 793, 792, 795, 794, 827, 826, 829, 828, 830, 831, 780, 781, 778, 779, 782, 783, 879, 878, 875, 874, 876, 877, 718, 719, 722, 723, 720, 721, 734, 735, 730, 731, 732, 733, 740, 741, 738, 739, 736, 737, 867, 866, 865, 864, 863, 862, 789, 788, 785, 784, 787, 786, 703, 702, 705, 704, 700, 701, 835, 834, 836, 837, 833, 832, 709, 708, 707, 706, 711, 710, 869, 868, 873, 872, 870, 871, 820, 821, 823, 822, 825, 824, 726, 727, 729, 728, 725, 724, 750, 751, 753, 752, 749, 748, 766, 767, 769, 768, 770, 771, 664, 665, 668, 669, 666, 667, 661, 660, 663, 662, 658, 659, 653, 652, 657, 656, 654, 655, 616, 617, 618, 619, 620, 621, 611, 610, 614, 615, 613, 612, 655, 654, 652, 653, 657, 656, 630, 631, 628, 629, 633, 632, 624, 625, 623, 622, 627, 626, 650, 651, 648, 649, 647, 646, 634, 635, 638, 639, 636, 637, 678, 679, 676, 677, 680, 681, 645, 644, 642, 643, 641, 640, 600, 601, 599, 598, 603, 602, 673, 672, 671, 670, 674, 675, 607, 606, 604, 605, 608, 609, 675, 674, 673, 672, 670, 671, 686, 687, 684, 685, 682, 683, 631, 630, 633, 632, 628, 629, 648, 649, 647, 646, 651, 650, 595, 594, 596, 597, 592, 593, 600, 601, 602, 603, 598, 599, 664, 665, 669, 668, 667, 666, 637, 636, 638, 639, 635, 634, 641, 640, 645, 644, 643, 642, 659, 658, 660, 661, 663, 662, 617, 616, 619, 618, 621, 620, 612, 613, 610, 611, 615, 614, 677, 676, 678, 679, 681, 680, 595, 594, 593, 592, 597, 596, 624, 625, 627, 626, 622, 623, 609, 608, 604, 605, 607, 606, 685, 684, 683, 682, 686, 687, 944, 945, 944, 945, 945, 944, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 958, 959, 959, 958, 960, 961, 962, 963, 964, 965, 962, 963, 961, 960, 964, 965, 966, 967, 968, 969, 970, 971, 970, 971, 967, 966, 969, 968, 969, 968, 970, 971, 966, 967, 972, 973, 973, 972, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 980, 981, 981, 980, 982, 983, 983, 982, 982, 983, 984, 985, 986, 987, 988, 989, 954, 955, 956, 957, 952, 953, 990, 991, 992, 993, 994, 995, 988, 989, 984, 985, 987, 986, 950, 951, 949, 948, 947, 946, 996, 997, 998, 999, 1000, 1001, 964, 965, 961, 960, 962, 963, 974, 975, 976, 977, 978, 979, 996, 997, 998, 999, 1001, 1000, 956, 957, 954, 955, 952, 953, 995, 994, 991, 990, 992, 993, 979, 978, 974, 975, 976, 977, 1002, 1003, 1003, 1002, 1003, 1002, 950, 951, 948, 949, 946, 947, 1004, 1005, 1004, 1005, 1005, 1004, 988, 989, 987, 986, 984, 985, 992, 993, 991, 990, 994, 995, 998, 999, 996, 997, 1000, 1001, 1006, 1007, 1007, 1006, 1007, 1006, 387, 386, 384, 385] +private def clayworthFaceOf_data_c5 : Array (Fin 1008) := #[383, 382, 353, 352, 355, 354, 357, 356, 263, 262, 264, 265, 266, 267, 215, 214, 219, 218, 217, 216, 335, 334, 336, 337, 339, 338, 303, 302, 299, 298, 301, 300, 391, 390, 392, 393, 389, 388, 268, 269, 272, 273, 271, 270, 291, 290, 288, 289, 287, 286, 371, 370, 374, 375, 373, 372, 260, 261, 256, 257, 259, 258, 322, 323, 324, 325, 326, 327, 292, 293, 295, 294, 296, 297, 399, 398, 396, 397, 394, 395, 362, 363, 359, 358, 361, 360, 342, 343, 340, 341, 344, 345, 223, 222, 221, 220, 224, 225, 227, 226, 231, 230, 229, 228, 332, 333, 329, 328, 330, 331, 284, 285, 281, 280, 283, 282, 306, 307, 304, 305, 308, 309, 244, 245, 246, 247, 248, 249, 279, 278, 276, 277, 274, 275, 347, 346, 348, 349, 350, 351, 234, 235, 236, 237, 232, 233, 315, 314, 311, 310, 312, 313, 368, 369, 365, 364, 367, 366, 211, 210, 213, 212, 208, 209, 239, 238, 240, 241, 243, 242, 253, 252, 250, 251, 254, 255, 380, 381, 377, 376, 379, 378, 317, 316, 318, 319, 320, 321, 315, 314, 311, 310, 313, 312, 350, 351, 347, 346, 348, 349, 340, 341, 343, 342, 345, 344, 392, 393, 390, 391, 388, 389, 289, 288, 290, 291, 286, 287, 335, 334, 337, 336, 338, 339, 256, 257, 261, 260, 258, 259, 292, 293, 296, 297, 294, 295, 282, 283, 284, 285, 281, 280, 369, 368, 365, 364, 367, 366, 306, 307, 305, 304, 309, 308, 361, 360, 362, 363, 359, 358, 371, 370, 374, 375, 373, 372, 219, 218, 214, 215, 217, 216, 325, 324, 323, 322, 327, 326, 239, 238, 243, 242, 241, 240, 251, 250, 252, 253, 255, 254, 232, 233, 236, 237, 235, 234, 387, 386, 385, 384, 383, 382, 379, 378, 381, 380, 377, 376, 270, 271, 272, 273, 269, 268, 276, 277, 275, 274, 279, 278, 333, 332, 328, 329, 331, 330, 352, 353, 355, 354, 357, 356, 266, 267, 264, 265, 263, 262, 396, 397, 399, 398, 394, 395, 209, 208, 211, 210, 213, 212, 300, 301, 303, 302, 298, 299, 319, 318, 316, 317, 320, 321, 226, 227, 229, 228, 231, 230, 249, 248, 245, 244, 246, 247, 221, 220, 223, 222, 225, 224, 371, 370, 375, 374, 373, 372, 390, 391, 393, 392, 388, 389, 273, 272, 270, 271, 269, 268, 260, 261, 256, 257, 258, 259, 225, 224, 220, 221, 223, 222, 295, 294, 296, 297, 292, 293, 276, 277, 275, 274, 279, 278, 307, 306, 304, 305, 308, 309, 399, 398, 396, 397, 394, 395, 369, 368, 364, 365, 367, 366, 359, 358, 362, 363, 361, 360, 335, 334, 337, 336, 338, 339, 232, 233, 236, 237, 234, 235, 303, 302, 300, 301, 298, 299, 227, 226, 230, 231, 228, 229, 264, 265, 267, 266, 263, 262, 215, 214, 218, 219, 216, 217, 244, 245, 249, 248, 246, 247, 238, 239, 242, 243, 241, 240, 315, 314, 310, 311, 312, 313] +private def clayworthFaceOf_data_c6 : Array (Fin 1008) := #[291, 290, 287, 286, 289, 288, 380, 381, 377, 376, 379, 378, 350, 351, 348, 349, 346, 347, 255, 254, 251, 250, 252, 253, 282, 283, 280, 281, 285, 284, 354, 355, 357, 356, 353, 352, 384, 385, 387, 386, 383, 382, 321, 320, 318, 319, 317, 316, 345, 344, 342, 343, 341, 340, 330, 331, 332, 333, 328, 329, 325, 324, 323, 322, 326, 327, 213, 212, 209, 208, 210, 211, 20, 21, 18, 19, 16, 17, 204, 205, 207, 206, 203, 202, 156, 157, 155, 154, 158, 159, 95, 94, 96, 97, 99, 98, 91, 90, 89, 88, 93, 92, 135, 134, 131, 130, 133, 132, 129, 128, 127, 126, 125, 124, 121, 120, 118, 119, 122, 123, 185, 184, 187, 186, 189, 188, 46, 47, 51, 50, 49, 48, 112, 113, 114, 115, 116, 117, 42, 43, 44, 45, 41, 40, 165, 164, 161, 160, 162, 163, 137, 136, 141, 140, 139, 138, 180, 181, 178, 179, 183, 182, 107, 106, 110, 111, 108, 109, 201, 200, 197, 196, 198, 199, 195, 194, 190, 191, 193, 192, 84, 85, 83, 82, 87, 86, 169, 168, 171, 170, 167, 166, 77, 76, 78, 79, 80, 81, 104, 105, 101, 100, 103, 102, 53, 52, 57, 56, 54, 55, 173, 172, 175, 174, 177, 176, 22, 23, 24, 25, 26, 27, 62, 63, 59, 58, 61, 60, 29, 28, 33, 32, 31, 30, 150, 151, 148, 149, 153, 152, 142, 143, 145, 144, 147, 146, 70, 71, 72, 73, 74, 75, 36, 37, 39, 38, 34, 35, 68, 69, 65, 64, 66, 67, 944, 945, 945, 944, 945, 944, 969, 968, 970, 971, 966, 967, 989, 988, 987, 986, 985, 984, 982, 983, 983, 982, 982, 983, 987, 986, 985, 984, 989, 988, 1003, 1002, 1003, 1002, 1002, 1003, 990, 991, 993, 992, 994, 995, 990, 991, 993, 992, 995, 994, 993, 992, 990, 991, 994, 995, 948, 949, 951, 950, 947, 946, 952, 953, 954, 955, 956, 957, 965, 964, 963, 962, 961, 960, 976, 977, 974, 975, 979, 978, 979, 978, 976, 977, 974, 975, 965, 964, 963, 962, 961, 960, 972, 973, 973, 972, 972, 973, 987, 986, 989, 988, 985, 984, 1005, 1004, 1004, 1005, 1004, 1005, 948, 949, 946, 947, 950, 951, 1000, 1001, 999, 998, 996, 997, 954, 955, 957, 956, 953, 952, 970, 971, 968, 969, 966, 967, 965, 964, 963, 962, 960, 961, 1001, 1000, 997, 996, 998, 999, 952, 953, 956, 957, 955, 954, 969, 968, 967, 966, 970, 971, 980, 981, 980, 981, 981, 980, 1007, 1006, 1007, 1006, 1006, 1007, 974, 975, 976, 977, 979, 978, 999, 998, 1001, 1000, 997, 996, 948, 949, 947, 946, 951, 950, 958, 959, 958, 959, 959, 958, 405, 404, 403, 402, 400, 401, 450, 451, 453, 452, 448, 449, 550, 551, 554, 555, 552, 553, 427, 426, 428, 429, 424, 425, 543, 542, 541, 540, 539, 538, 558, 559, 560, 561, 557, 556, 532, 533, 534, 535, 536, 537, 565, 564] +private def clayworthFaceOf_data_c7 : Array (Fin 1008) := #[567, 566, 563, 562, 481, 480, 483, 482, 479, 478, 495, 494, 492, 493, 491, 490, 444, 445, 446, 447, 442, 443, 530, 531, 527, 526, 528, 529, 440, 441, 437, 436, 438, 439, 470, 471, 466, 467, 468, 469, 525, 524, 520, 521, 523, 522, 577, 576, 574, 575, 578, 579, 590, 591, 587, 586, 588, 589, 455, 454, 457, 456, 459, 458, 434, 435, 430, 431, 432, 433, 513, 512, 511, 510, 509, 508, 488, 489, 486, 487, 484, 485, 413, 412, 414, 415, 416, 417, 476, 477, 473, 472, 474, 475, 501, 500, 498, 499, 497, 496, 504, 505, 502, 503, 506, 507, 422, 423, 419, 418, 420, 421, 585, 584, 580, 581, 582, 583, 460, 461, 464, 465, 462, 463, 549, 548, 545, 544, 547, 546, 571, 570, 573, 572, 569, 568, 515, 514, 517, 516, 519, 518, 410, 411, 408, 409, 406, 407, 801, 800, 799, 798, 797, 796, 818, 819, 815, 814, 816, 817, 747, 746, 745, 744, 742, 743, 830, 831, 829, 828, 827, 826, 790, 791, 794, 795, 792, 793, 821, 820, 823, 822, 825, 824, 775, 774, 773, 772, 777, 776, 759, 758, 756, 757, 754, 755, 863, 862, 866, 867, 865, 864, 848, 849, 846, 847, 844, 845, 869, 868, 873, 872, 871, 870, 805, 804, 803, 802, 806, 807, 705, 704, 703, 702, 701, 700, 840, 841, 839, 838, 842, 843, 779, 778, 783, 782, 781, 780, 713, 712, 716, 717, 714, 715, 833, 832, 837, 836, 834, 835, 753, 752, 750, 751, 749, 748, 729, 728, 725, 724, 727, 726, 706, 707, 710, 711, 708, 709, 739, 738, 741, 740, 737, 736, 789, 788, 787, 786, 784, 785, 688, 689, 690, 691, 693, 692, 809, 808, 813, 812, 810, 811, 861, 860, 859, 858, 856, 857, 732, 733, 730, 731, 734, 735, 767, 766, 770, 771, 769, 768, 878, 879, 877, 876, 875, 874, 765, 764, 763, 762, 761, 760, 694, 695, 697, 696, 699, 698, 720, 721, 722, 723, 718, 719, 853, 852, 855, 854, 851, 850, 403, 402, 400, 401, 405, 404, 427, 426, 424, 425, 428, 429, 480, 481, 482, 483, 479, 478, 459, 458, 457, 456, 454, 455, 495, 494, 491, 490, 492, 493, 498, 499, 496, 497, 501, 500, 433, 432, 430, 431, 435, 434, 502, 503, 506, 507, 504, 505, 569, 568, 573, 572, 571, 570, 536, 537, 533, 532, 534, 535, 589, 588, 591, 590, 587, 586, 487, 486, 484, 485, 489, 488, 442, 443, 446, 447, 444, 445, 523, 522, 521, 520, 525, 524, 585, 584, 581, 580, 582, 583, 510, 511, 508, 509, 512, 513, 559, 558, 557, 556, 560, 561, 410, 411, 408, 409, 406, 407, 518, 519, 515, 514, 516, 517, 468, 469, 466, 467, 471, 470, 574, 575, 579, 578, 576, 577, 540, 541, 542, 543, 538, 539, 545, 544, 546, 547, 548, 549, 551, 550, 552, 553, 555, 554, 562, 563, 566, 567, 564, 565, 475, 474, 477, 476, 473, 472, 463, 462, 460, 461] +private def clayworthFaceOf_data_c8 : Array (Fin 1008) := #[465, 464, 438, 439, 437, 436, 440, 441, 414, 415, 416, 417, 413, 412, 452, 453, 451, 450, 449, 448, 418, 419, 420, 421, 422, 423, 529, 528, 527, 526, 531, 530, 401, 400, 402, 403, 404, 405, 475, 474, 472, 473, 477, 476, 564, 565, 563, 562, 567, 566, 574, 575, 578, 579, 577, 576, 410, 411, 408, 409, 406, 407, 573, 572, 569, 568, 571, 570, 503, 502, 506, 507, 504, 505, 418, 419, 422, 423, 420, 421, 534, 535, 533, 532, 536, 537, 485, 484, 487, 486, 488, 489, 540, 541, 538, 539, 543, 542, 459, 458, 456, 457, 455, 454, 447, 446, 442, 443, 445, 444, 432, 433, 434, 435, 431, 430, 584, 585, 581, 580, 583, 582, 437, 436, 441, 440, 439, 438, 491, 490, 494, 495, 493, 492, 545, 544, 548, 549, 546, 547, 414, 415, 417, 416, 413, 412, 557, 556, 559, 558, 560, 561, 428, 429, 427, 426, 424, 425, 449, 448, 453, 452, 450, 451, 552, 553, 550, 551, 555, 554, 480, 481, 478, 479, 482, 483, 518, 519, 516, 517, 515, 514, 589, 588, 586, 587, 591, 590, 520, 521, 524, 525, 522, 523, 496, 497, 498, 499, 500, 501, 527, 526, 528, 529, 530, 531, 469, 468, 467, 466, 471, 470, 511, 510, 509, 508, 512, 513, 463, 462, 461, 460, 464, 465, 813, 812, 809, 808, 811, 810, 848, 849, 846, 847, 845, 844, 791, 790, 792, 793, 795, 794, 763, 762, 764, 765, 761, 760, 742, 743, 747, 746, 745, 744, 869, 868, 873, 872, 870, 871, 822, 823, 820, 821, 824, 825, 779, 778, 780, 781, 783, 782, 754, 755, 756, 757, 759, 758, 861, 860, 857, 856, 859, 858, 862, 863, 866, 867, 864, 865, 877, 876, 875, 874, 878, 879, 689, 688, 691, 690, 693, 692, 701, 700, 703, 702, 705, 704, 748, 749, 752, 753, 751, 750, 818, 819, 817, 816, 815, 814, 694, 695, 696, 697, 698, 699, 807, 806, 804, 805, 802, 803, 730, 731, 733, 732, 735, 734, 787, 786, 788, 789, 785, 784, 831, 830, 828, 829, 827, 826, 837, 836, 833, 832, 835, 834, 723, 722, 719, 718, 721, 720, 737, 736, 741, 740, 738, 739, 799, 798, 801, 800, 797, 796, 711, 710, 708, 709, 706, 707, 770, 771, 769, 768, 767, 766, 838, 839, 841, 840, 842, 843, 713, 712, 717, 716, 715, 714, 729, 728, 725, 724, 726, 727, 775, 774, 776, 777, 772, 773, 851, 850, 854, 855, 853, 852, 21, 20, 17, 16, 18, 19, 198, 199, 200, 201, 197, 196, 129, 128, 125, 124, 126, 127, 92, 93, 89, 88, 91, 90, 183, 182, 180, 181, 178, 179, 169, 168, 171, 170, 167, 166, 202, 203, 206, 207, 204, 205, 29, 28, 31, 30, 33, 32, 41, 40, 44, 45, 43, 42, 36, 37, 34, 35, 39, 38, 133, 132, 134, 135, 131, 130, 76, 77, 80, 81, 78, 79, 87, 86, 83, 82, 84, 85, 143, 142, 147, 146, 145, 144] +private def clayworthFaceOf_data_c9 : Array (Fin 1008) := #[152, 153, 151, 150, 148, 149, 141, 140, 137, 136, 139, 138, 121, 120, 122, 123, 119, 118, 157, 156, 159, 158, 155, 154, 75, 74, 70, 71, 72, 73, 190, 191, 193, 192, 195, 194, 162, 163, 164, 165, 160, 161, 54, 55, 57, 56, 52, 53, 64, 65, 68, 69, 66, 67, 46, 47, 49, 48, 50, 51, 107, 106, 110, 111, 109, 108, 99, 98, 95, 94, 97, 96, 172, 173, 175, 174, 176, 177, 26, 27, 22, 23, 25, 24, 60, 61, 63, 62, 59, 58, 185, 184, 188, 189, 187, 186, 101, 100, 104, 105, 103, 102, 114, 115, 113, 112, 117, 116, 945, 944, 944, 945, 944, 945, 990, 991, 993, 992, 995, 994, 949, 948, 950, 951, 947, 946, 964, 965, 963, 962, 961, 960, 1004, 1005, 1005, 1004, 1004, 1005, 981, 980, 980, 981, 980, 981, 1001, 1000, 997, 996, 999, 998, 997, 996, 1001, 1000, 999, 998, 999, 998, 1001, 1000, 997, 996, 1003, 1002, 1002, 1003, 1003, 1002, 952, 953, 954, 955, 956, 957, 957, 956, 953, 952, 954, 955, 1006, 1007, 1007, 1006, 1006, 1007, 963, 962, 964, 965, 961, 960, 950, 951, 949, 948, 947, 946, 986, 987, 988, 989, 984, 985, 949, 948, 950, 951, 946, 947, 988, 989, 987, 986, 984, 985, 967, 966, 971, 970, 968, 969, 971, 970, 967, 966, 969, 968, 993, 992, 990, 991, 995, 994, 995, 994, 990, 991, 993, 992, 973, 972, 972, 973, 972, 973, 959, 958, 958, 959, 958, 959, 954, 955, 957, 956, 953, 952, 974, 975, 976, 977, 978, 979, 960, 961, 962, 963, 964, 965, 976, 977, 979, 978, 974, 975, 989, 988, 985, 984, 986, 987, 971, 970, 968, 969, 967, 966, 982, 983, 982, 983, 983, 982, 979, 978, 974, 975, 976, 977, 662, 663, 659, 658, 660, 661, 649, 648, 647, 646, 651, 650, 618, 619, 616, 617, 620, 621, 656, 657, 655, 654, 652, 653, 630, 631, 628, 629, 633, 632, 624, 625, 623, 622, 627, 626, 607, 606, 608, 609, 604, 605, 636, 637, 638, 639, 634, 635, 682, 683, 687, 686, 684, 685, 671, 670, 672, 673, 674, 675, 602, 603, 601, 600, 598, 599, 612, 613, 610, 611, 615, 614, 660, 661, 659, 658, 663, 662, 648, 649, 651, 650, 647, 646, 599, 598, 603, 602, 600, 601, 593, 592, 595, 594, 596, 597, 644, 645, 642, 643, 640, 641, 622, 623, 624, 625, 626, 627, 612, 613, 615, 614, 610, 611, 606, 607, 609, 608, 605, 604, 668, 669, 664, 665, 666, 667, 645, 644, 643, 642, 641, 640, 679, 678, 680, 681, 676, 677, 592, 593, 596, 597, 594, 595, 639, 638, 635, 634, 637, 636, 671, 670, 672, 673, 674, 675, 621, 620, 617, 616, 619, 618, 681, 680, 678, 679, 676, 677, 654, 655, 653, 652, 657, 656, 682, 683, 685, 684, 687, 686, 665, 664, 668, 669, 666, 667, 629, 628, 631, 630, 632, 633, 751, 750, 752, 753, 749, 748, 721, 720] +private def clayworthFaceOf_data_c10 : Array (Fin 1008) := #[719, 718, 723, 722, 791, 790, 794, 795, 792, 793, 742, 743, 745, 744, 747, 746, 767, 766, 771, 770, 768, 769, 842, 843, 838, 839, 840, 841, 760, 761, 765, 764, 762, 763, 868, 869, 870, 871, 872, 873, 784, 785, 788, 789, 786, 787, 706, 707, 711, 710, 709, 708, 835, 834, 837, 836, 833, 832, 776, 777, 773, 772, 775, 774, 852, 853, 855, 854, 850, 851, 826, 827, 830, 831, 828, 829, 844, 845, 848, 849, 846, 847, 879, 878, 875, 874, 876, 877, 733, 732, 731, 730, 734, 735, 800, 801, 796, 797, 798, 799, 695, 694, 696, 697, 698, 699, 816, 817, 814, 815, 818, 819, 783, 782, 780, 781, 779, 778, 729, 728, 727, 726, 725, 724, 807, 806, 805, 804, 803, 802, 865, 864, 863, 862, 867, 866, 813, 812, 808, 809, 811, 810, 758, 759, 756, 757, 754, 755, 741, 740, 738, 739, 737, 736, 857, 856, 860, 861, 859, 858, 713, 712, 716, 717, 715, 714, 820, 821, 825, 824, 823, 822, 689, 688, 693, 692, 690, 691, 700, 701, 702, 703, 704, 705, 880, 881, 880, 881, 881, 880, 919, 918, 914, 915, 917, 916, 883, 882, 886, 887, 884, 885, 927, 926, 928, 929, 925, 924, 942, 943, 942, 943, 943, 942, 921, 920, 921, 920, 920, 921, 923, 922, 922, 923, 922, 923, 897, 896, 895, 894, 899, 898, 937, 936, 938, 939, 940, 941, 941, 940, 936, 937, 938, 939, 895, 894, 897, 896, 899, 898, 883, 882, 886, 887, 884, 885, 933, 932, 932, 933, 932, 933, 903, 902, 901, 900, 904, 905, 927, 926, 928, 929, 924, 925, 892, 893, 888, 889, 890, 891, 910, 911, 908, 909, 913, 912, 891, 890, 888, 889, 892, 893, 901, 900, 903, 902, 905, 904, 914, 915, 917, 916, 918, 919, 883, 882, 886, 887, 884, 885, 897, 896, 894, 895, 898, 899, 913, 912, 910, 911, 909, 908, 907, 906, 906, 907, 906, 907, 901, 900, 904, 905, 902, 903, 917, 916, 914, 915, 919, 918, 930, 931, 931, 930, 930, 931, 939, 938, 941, 940, 937, 936, 929, 928, 927, 926, 925, 924, 891, 890, 888, 889, 892, 893, 910, 911, 909, 908, 913, 912, 934, 935, 935, 934, 934, 935, 823, 822, 821, 820, 824, 825, 750, 751, 749, 748, 753, 752, 775, 774, 773, 772, 776, 777, 713, 712, 715, 714, 716, 717, 700, 701, 703, 702, 704, 705, 805, 804, 806, 807, 802, 803, 708, 709, 710, 711, 706, 707, 725, 724, 727, 726, 728, 729, 721, 720, 719, 718, 722, 723, 837, 836, 834, 835, 833, 832, 827, 826, 829, 828, 830, 831, 858, 859, 856, 857, 861, 860, 817, 816, 815, 814, 818, 819, 754, 755, 758, 759, 756, 757, 694, 695, 697, 696, 698, 699, 843, 842, 841, 840, 839, 838, 766, 767, 771, 770, 768, 769, 781, 780, 779, 778, 783, 782, 790, 791, 793, 792, 795, 794, 868, 869, 872, 873, 870, 871, 763, 762, 761, 760] +private def clayworthFaceOf_data_c11 : Array (Fin 1008) := #[765, 764, 847, 846, 844, 845, 849, 848, 810, 811, 809, 808, 812, 813, 746, 747, 744, 745, 743, 742, 692, 693, 690, 691, 688, 689, 852, 853, 855, 854, 850, 851, 738, 739, 736, 737, 740, 741, 875, 874, 879, 878, 877, 876, 866, 867, 864, 865, 862, 863, 785, 784, 787, 786, 789, 788, 799, 798, 800, 801, 796, 797, 734, 735, 732, 733, 730, 731, 17, 16, 19, 18, 21, 20, 104, 105, 102, 103, 100, 101, 108, 109, 106, 107, 110, 111, 45, 44, 43, 42, 40, 41, 170, 171, 168, 169, 167, 166, 29, 28, 33, 32, 31, 30, 192, 193, 194, 195, 191, 190, 151, 150, 152, 153, 148, 149, 173, 172, 177, 176, 175, 174, 117, 116, 115, 114, 112, 113, 92, 93, 90, 91, 89, 88, 198, 199, 200, 201, 197, 196, 48, 49, 51, 50, 47, 46, 86, 87, 82, 83, 85, 84, 140, 141, 139, 138, 137, 136, 75, 74, 73, 72, 71, 70, 125, 124, 127, 126, 128, 129, 154, 155, 156, 157, 158, 159, 202, 203, 205, 204, 206, 207, 54, 55, 57, 56, 52, 53, 185, 184, 186, 187, 189, 188, 130, 131, 133, 132, 134, 135, 68, 69, 66, 67, 64, 65, 122, 123, 118, 119, 121, 120, 39, 38, 36, 37, 34, 35, 26, 27, 25, 24, 22, 23, 165, 164, 162, 163, 161, 160, 179, 178, 182, 183, 181, 180, 60, 61, 58, 59, 63, 62, 80, 81, 78, 79, 76, 77, 98, 99, 96, 97, 94, 95, 147, 146, 143, 142, 144, 145, 20, 21, 16, 17, 19, 18, 151, 150, 149, 148, 152, 153, 61, 60, 59, 58, 63, 62, 101, 100, 105, 104, 103, 102, 196, 197, 199, 198, 200, 201, 179, 178, 181, 180, 182, 183, 95, 94, 99, 98, 96, 97, 130, 131, 132, 133, 135, 134, 187, 186, 184, 185, 188, 189, 120, 121, 119, 118, 123, 122, 50, 51, 46, 47, 48, 49, 140, 141, 137, 136, 139, 138, 145, 144, 142, 143, 147, 146, 127, 126, 125, 124, 128, 129, 171, 170, 167, 166, 169, 168, 175, 174, 173, 172, 176, 177, 106, 107, 111, 110, 108, 109, 32, 33, 30, 31, 29, 28, 93, 92, 89, 88, 91, 90, 26, 27, 22, 23, 24, 25, 43, 42, 45, 44, 40, 41, 203, 202, 206, 207, 204, 205, 194, 195, 193, 192, 191, 190, 114, 115, 113, 112, 117, 116, 55, 54, 57, 56, 53, 52, 79, 78, 77, 76, 81, 80, 165, 164, 161, 160, 162, 163, 72, 73, 74, 75, 71, 70, 159, 158, 156, 157, 155, 154, 65, 64, 68, 69, 66, 67, 85, 84, 82, 83, 86, 87, 39, 38, 36, 37, 34, 35, 684, 685, 682, 683, 687, 686, 651, 650, 649, 648, 646, 647, 671, 670, 674, 675, 673, 672, 639, 638, 635, 634, 637, 636, 669, 668, 667, 666, 665, 664, 594, 595, 592, 593, 597, 596, 656, 657, 653, 652, 654, 655, 680, 681, 676, 677, 679, 678] +private def clayworthFaceOf_data_c12 : Array (Fin 1008) := #[662, 663, 661, 660, 658, 659, 637, 636, 639, 638, 635, 634, 616, 617, 618, 619, 620, 621, 643, 642, 640, 641, 645, 644, 609, 608, 604, 605, 607, 606, 626, 627, 623, 622, 625, 624, 611, 610, 614, 615, 612, 613, 606, 607, 605, 604, 608, 609, 597, 596, 595, 594, 593, 592, 640, 641, 643, 642, 645, 644, 598, 599, 600, 601, 603, 602, 628, 629, 630, 631, 633, 632, 611, 610, 614, 615, 613, 612, 677, 676, 679, 678, 680, 681, 626, 627, 622, 623, 625, 624, 652, 653, 656, 657, 654, 655, 647, 646, 648, 649, 651, 650, 687, 686, 683, 682, 685, 684, 673, 672, 671, 670, 674, 675, 629, 628, 632, 633, 630, 631, 669, 668, 665, 664, 667, 666, 663, 662, 658, 659, 661, 660, 618, 619, 621, 620, 617, 616, 602, 603, 598, 599, 601, 600, 400, 401, 403, 402, 405, 404, 492, 493, 495, 494, 491, 490, 514, 515, 516, 517, 519, 518, 501, 500, 497, 496, 498, 499, 442, 443, 444, 445, 446, 447, 451, 450, 452, 453, 448, 449, 527, 526, 529, 528, 531, 530, 520, 521, 523, 522, 525, 524, 545, 544, 546, 547, 548, 549, 508, 509, 513, 512, 510, 511, 430, 431, 433, 432, 435, 434, 543, 542, 539, 538, 541, 540, 476, 477, 473, 472, 474, 475, 574, 575, 576, 577, 578, 579, 424, 425, 427, 426, 428, 429, 557, 556, 561, 560, 559, 558, 507, 506, 503, 502, 504, 505, 441, 440, 438, 439, 436, 437, 460, 461, 465, 464, 463, 462, 568, 569, 571, 570, 572, 573, 420, 421, 419, 418, 422, 423, 563, 562, 565, 564, 566, 567, 413, 412, 414, 415, 416, 417, 532, 533, 536, 537, 534, 535, 485, 484, 487, 486, 488, 489, 408, 409, 407, 406, 410, 411, 590, 591, 586, 587, 588, 589, 469, 468, 467, 466, 470, 471, 480, 481, 478, 479, 483, 482, 455, 454, 456, 457, 459, 458, 584, 585, 580, 581, 582, 583, 553, 552, 551, 550, 554, 555, 16, 17, 19, 18, 20, 21, 118, 119, 122, 123, 121, 120, 73, 72, 74, 75, 71, 70, 87, 86, 84, 85, 82, 83, 136, 137, 138, 139, 141, 140, 33, 32, 30, 31, 29, 28, 190, 191, 195, 194, 193, 192, 81, 80, 78, 79, 76, 77, 205, 204, 206, 207, 202, 203, 91, 90, 93, 92, 88, 89, 24, 25, 26, 27, 22, 23, 134, 135, 133, 132, 131, 130, 108, 109, 110, 111, 107, 106, 47, 46, 50, 51, 48, 49, 154, 155, 158, 159, 157, 156, 149, 148, 153, 152, 151, 150, 180, 181, 178, 179, 182, 183, 66, 67, 68, 69, 64, 65, 102, 103, 100, 101, 105, 104, 58, 59, 62, 63, 60, 61, 167, 166, 171, 170, 168, 169, 199, 198, 197, 196, 201, 200, 174, 175, 177, 176, 172, 173, 189, 188, 187, 186, 185, 184, 34, 35, 39, 38, 36, 37, 112, 113, 116, 117, 115, 114, 44, 45, 42, 43, 40, 41, 145, 144] +private def clayworthFaceOf_data_c13 : Array (Fin 1008) := #[147, 146, 142, 143, 125, 124, 127, 126, 129, 128, 52, 53, 55, 54, 56, 57, 94, 95, 97, 96, 99, 98, 163, 162, 160, 161, 164, 165, 325, 324, 322, 323, 326, 327, 381, 380, 377, 376, 379, 378, 277, 276, 274, 275, 278, 279, 384, 385, 386, 387, 383, 382, 238, 239, 242, 243, 240, 241, 236, 237, 234, 235, 232, 233, 309, 308, 305, 304, 307, 306, 296, 297, 293, 292, 295, 294, 351, 350, 346, 347, 348, 349, 353, 352, 357, 356, 354, 355, 215, 214, 218, 219, 216, 217, 358, 359, 363, 362, 361, 360, 341, 340, 342, 343, 344, 345, 321, 320, 319, 318, 316, 317, 213, 212, 210, 211, 209, 208, 226, 227, 231, 230, 229, 228, 273, 272, 269, 268, 271, 270, 391, 390, 389, 388, 393, 392, 334, 335, 338, 339, 336, 337, 371, 370, 372, 373, 375, 374, 289, 288, 286, 287, 290, 291, 225, 224, 222, 223, 220, 221, 247, 246, 249, 248, 245, 244, 367, 366, 365, 364, 368, 369, 254, 255, 252, 253, 250, 251, 311, 310, 314, 315, 313, 312, 331, 330, 329, 328, 333, 332, 298, 299, 302, 303, 300, 301, 281, 280, 284, 285, 283, 282, 394, 395, 398, 399, 396, 397, 260, 261, 256, 257, 258, 259, 267, 266, 263, 262, 264, 265, 649, 648, 651, 650, 646, 647, 625, 624, 626, 627, 623, 622, 608, 609, 604, 605, 606, 607, 641, 640, 642, 643, 645, 644, 640, 641, 644, 645, 643, 642, 639, 638, 636, 637, 635, 634, 593, 592, 597, 596, 595, 594, 665, 664, 668, 669, 666, 667, 658, 659, 661, 660, 662, 663, 598, 599, 600, 601, 602, 603, 682, 683, 686, 687, 684, 685, 680, 681, 676, 677, 679, 678, 610, 611, 614, 615, 612, 613, 635, 634, 636, 637, 639, 638, 614, 615, 611, 610, 612, 613, 616, 617, 621, 620, 618, 619, 673, 672, 670, 671, 675, 674, 647, 646, 651, 650, 648, 649, 679, 678, 677, 676, 680, 681, 632, 633, 629, 628, 630, 631, 656, 657, 652, 653, 655, 654, 667, 666, 668, 669, 664, 665, 674, 675, 673, 672, 671, 670, 597, 596, 594, 595, 592, 593, 663, 662, 660, 661, 659, 658, 656, 657, 653, 652, 654, 655, 685, 684, 687, 686, 683, 682, 626, 627, 624, 625, 622, 623, 632, 633, 630, 631, 629, 628, 605, 604, 606, 607, 609, 608, 601, 600, 602, 603, 599, 598, 616, 617, 620, 621, 619, 618, 816, 817, 814, 815, 818, 819, 727, 726, 728, 729, 725, 724, 865, 864, 867, 866, 862, 863, 774, 775, 776, 777, 772, 773, 868, 869, 871, 870, 873, 872, 771, 770, 767, 766, 769, 768, 840, 841, 842, 843, 839, 838, 786, 787, 785, 784, 788, 789, 844, 845, 846, 847, 848, 849, 807, 806, 804, 805, 803, 802, 710, 711, 707, 706, 708, 709, 783, 782, 780, 781, 779, 778, 791, 790, 795, 794, 792, 793, 850, 851, 855, 854, 853, 852, 744, 745, 743, 742] +private def clayworthFaceOf_data_c14 : Array (Fin 1008) := #[746, 747, 732, 733, 731, 730, 734, 735, 692, 693, 688, 689, 691, 690, 695, 694, 696, 697, 698, 699, 813, 812, 811, 810, 808, 809, 713, 712, 717, 716, 715, 714, 765, 764, 760, 761, 762, 763, 825, 824, 820, 821, 823, 822, 874, 875, 878, 879, 876, 877, 723, 722, 719, 718, 721, 720, 756, 757, 758, 759, 754, 755, 749, 748, 751, 750, 753, 752, 836, 837, 833, 832, 835, 834, 830, 831, 827, 826, 829, 828, 737, 736, 741, 740, 739, 738, 801, 800, 797, 796, 799, 798, 705, 704, 702, 703, 701, 700, 861, 860, 856, 857, 859, 858, 17, 16, 18, 19, 21, 20, 114, 115, 113, 112, 117, 116, 148, 149, 150, 151, 153, 152, 82, 83, 85, 84, 86, 87, 36, 37, 34, 35, 38, 39, 43, 42, 40, 41, 45, 44, 138, 139, 136, 137, 141, 140, 48, 49, 47, 46, 51, 50, 52, 53, 55, 54, 56, 57, 61, 60, 59, 58, 62, 63, 200, 201, 196, 197, 198, 199, 143, 142, 146, 147, 144, 145, 64, 65, 68, 69, 66, 67, 157, 156, 155, 154, 159, 158, 132, 133, 130, 131, 134, 135, 95, 94, 96, 97, 98, 99, 169, 168, 166, 167, 170, 171, 183, 182, 181, 180, 179, 178, 102, 103, 100, 101, 105, 104, 186, 187, 185, 184, 189, 188, 192, 193, 190, 191, 194, 195, 163, 162, 160, 161, 164, 165, 76, 77, 81, 80, 79, 78, 26, 27, 22, 23, 25, 24, 122, 123, 119, 118, 121, 120, 92, 93, 89, 88, 90, 91, 74, 75, 70, 71, 72, 73, 176, 177, 173, 172, 175, 174, 30, 31, 28, 29, 32, 33, 204, 205, 203, 202, 207, 206, 125, 124, 126, 127, 129, 128, 108, 109, 106, 107, 110, 111, 251, 250, 252, 253, 254, 255, 383, 382, 384, 385, 386, 387, 370, 371, 373, 372, 374, 375, 271, 270, 273, 272, 269, 268, 344, 345, 343, 342, 340, 341, 360, 361, 358, 359, 363, 362, 379, 378, 380, 381, 377, 376, 330, 331, 332, 333, 328, 329, 266, 267, 262, 263, 265, 264, 237, 236, 232, 233, 235, 234, 327, 326, 324, 325, 322, 323, 259, 258, 261, 260, 257, 256, 335, 334, 339, 338, 336, 337, 287, 286, 288, 289, 291, 290, 227, 226, 229, 228, 231, 230, 366, 367, 364, 365, 369, 368, 313, 312, 315, 314, 311, 310, 354, 355, 356, 357, 352, 353, 238, 239, 240, 241, 243, 242, 218, 219, 214, 215, 217, 216, 302, 303, 301, 300, 299, 298, 209, 208, 211, 210, 213, 212, 225, 224, 221, 220, 223, 222, 396, 397, 395, 394, 398, 399, 317, 316, 320, 321, 318, 319, 245, 244, 247, 246, 249, 248, 296, 297, 292, 293, 295, 294, 306, 307, 309, 308, 305, 304, 393, 392, 389, 388, 391, 390, 285, 284, 281, 280, 283, 282, 275, 274, 278, 279, 277, 276, 350, 351, 349, 348, 347, 346, 782, 783, 778, 779, 781, 780, 740, 741, 737, 736, 738, 739] +private def clayworthFaceOf_data_c15 : Array (Fin 1008) := #[688, 689, 692, 693, 691, 690, 712, 713, 717, 716, 714, 715, 710, 711, 709, 708, 707, 706, 852, 853, 850, 851, 854, 855, 756, 757, 758, 759, 755, 754, 796, 797, 801, 800, 799, 798, 812, 813, 808, 809, 810, 811, 867, 866, 865, 864, 862, 863, 841, 840, 842, 843, 838, 839, 735, 734, 730, 731, 733, 732, 694, 695, 698, 699, 697, 696, 750, 751, 753, 752, 748, 749, 790, 791, 795, 794, 793, 792, 860, 861, 857, 856, 858, 859, 845, 844, 846, 847, 848, 849, 869, 868, 870, 871, 873, 872, 747, 746, 745, 744, 743, 742, 718, 719, 723, 722, 720, 721, 726, 727, 728, 729, 724, 725, 784, 785, 789, 788, 787, 786, 762, 763, 760, 761, 765, 764, 825, 824, 823, 822, 820, 821, 877, 876, 874, 875, 878, 879, 830, 831, 826, 827, 828, 829, 772, 773, 774, 775, 776, 777, 705, 704, 701, 700, 703, 702, 803, 802, 807, 806, 804, 805, 836, 837, 832, 833, 835, 834, 814, 815, 819, 818, 816, 817, 771, 770, 768, 769, 767, 766, 404, 405, 401, 400, 403, 402, 509, 508, 512, 513, 511, 510, 577, 576, 575, 574, 578, 579, 557, 556, 558, 559, 560, 561, 485, 484, 488, 489, 486, 487, 539, 538, 543, 542, 541, 540, 471, 470, 466, 467, 468, 469, 532, 533, 536, 537, 534, 535, 566, 567, 565, 564, 563, 562, 481, 480, 483, 482, 479, 478, 447, 446, 442, 443, 445, 444, 500, 501, 499, 498, 497, 496, 465, 464, 462, 463, 460, 461, 477, 476, 475, 474, 473, 472, 459, 458, 455, 454, 457, 456, 408, 409, 410, 411, 406, 407, 430, 431, 432, 433, 435, 434, 552, 553, 551, 550, 555, 554, 505, 504, 506, 507, 502, 503, 423, 422, 419, 418, 421, 420, 417, 416, 413, 412, 415, 414, 517, 516, 518, 519, 515, 514, 426, 427, 428, 429, 424, 425, 441, 440, 437, 436, 439, 438, 587, 586, 591, 590, 589, 588, 569, 568, 570, 571, 573, 572, 450, 451, 449, 448, 453, 452, 581, 580, 582, 583, 585, 584, 530, 531, 527, 526, 528, 529, 525, 524, 521, 520, 522, 523, 495, 494, 493, 492, 491, 490, 545, 544, 549, 548, 547, 546, 245, 244, 249, 248, 247, 246, 367, 366, 365, 364, 369, 368, 223, 222, 224, 225, 221, 220, 312, 313, 310, 311, 314, 315, 335, 334, 339, 338, 336, 337, 287, 286, 289, 288, 291, 290, 301, 300, 303, 302, 299, 298, 370, 371, 374, 375, 373, 372, 358, 359, 360, 361, 362, 363, 378, 379, 381, 380, 376, 377, 330, 331, 332, 333, 329, 328, 209, 208, 210, 211, 212, 213, 233, 232, 237, 236, 234, 235, 257, 256, 258, 259, 261, 260, 383, 382, 384, 385, 386, 387, 395, 394, 397, 396, 399, 398, 348, 349, 350, 351, 347, 346, 227, 226, 228, 229, 230, 231, 307, 306, 305, 304, 308, 309, 340, 341, 345, 344, 343, 342, 319, 318, 317, 316, 321, 320, 324, 325] +private def clayworthFaceOf_data_c16 : Array (Fin 1008) := #[327, 326, 323, 322, 252, 253, 251, 250, 255, 254, 355, 354, 352, 353, 357, 356, 296, 297, 295, 294, 292, 293, 218, 219, 214, 215, 216, 217, 390, 391, 392, 393, 388, 389, 264, 265, 266, 267, 262, 263, 277, 276, 275, 274, 279, 278, 273, 272, 269, 268, 271, 270, 238, 239, 242, 243, 240, 241, 281, 280, 283, 282, 284, 285, 21, 20, 18, 19, 17, 16, 109, 108, 110, 111, 107, 106, 147, 146, 142, 143, 145, 144, 152, 153, 149, 148, 151, 150, 134, 135, 132, 133, 130, 131, 158, 159, 156, 157, 155, 154, 128, 129, 127, 126, 125, 124, 103, 102, 101, 100, 104, 105, 75, 74, 73, 72, 71, 70, 32, 33, 31, 30, 28, 29, 176, 177, 172, 173, 175, 174, 182, 183, 181, 180, 179, 178, 139, 138, 141, 140, 137, 136, 36, 37, 39, 38, 34, 35, 163, 162, 161, 160, 165, 164, 81, 80, 79, 78, 76, 77, 63, 62, 60, 61, 58, 59, 85, 84, 82, 83, 86, 87, 201, 200, 197, 196, 199, 198, 188, 189, 185, 184, 187, 186, 66, 67, 68, 69, 65, 64, 123, 122, 121, 120, 119, 118, 169, 168, 171, 170, 166, 167, 194, 195, 192, 193, 190, 191, 48, 49, 50, 51, 46, 47, 42, 43, 45, 44, 40, 41, 97, 96, 99, 98, 95, 94, 203, 202, 206, 207, 204, 205, 25, 24, 22, 23, 26, 27, 89, 88, 91, 90, 92, 93, 117, 116, 115, 114, 112, 113, 53, 52, 57, 56, 55, 54, 320, 321, 319, 318, 316, 317, 322, 323, 324, 325, 326, 327, 306, 307, 305, 304, 309, 308, 226, 227, 228, 229, 231, 230, 247, 246, 244, 245, 248, 249, 252, 253, 251, 250, 254, 255, 386, 387, 382, 383, 384, 385, 260, 261, 259, 258, 256, 257, 288, 289, 287, 286, 290, 291, 278, 279, 274, 275, 277, 276, 216, 217, 218, 219, 215, 214, 292, 293, 296, 297, 294, 295, 238, 239, 240, 241, 242, 243, 342, 343, 344, 345, 341, 340, 220, 221, 222, 223, 225, 224, 371, 370, 374, 375, 373, 372, 376, 377, 378, 379, 380, 381, 234, 235, 237, 236, 233, 232, 346, 347, 348, 349, 351, 350, 269, 268, 270, 271, 273, 272, 210, 211, 212, 213, 209, 208, 332, 333, 328, 329, 331, 330, 263, 262, 267, 266, 265, 264, 358, 359, 360, 361, 363, 362, 303, 302, 298, 299, 300, 301, 284, 285, 281, 280, 283, 282, 368, 369, 366, 367, 365, 364, 397, 396, 395, 394, 399, 398, 334, 335, 338, 339, 336, 337, 352, 353, 354, 355, 356, 357, 311, 310, 312, 313, 315, 314, 393, 392, 389, 388, 391, 390, 734, 735, 731, 730, 732, 733, 834, 835, 836, 837, 832, 833, 689, 688, 693, 692, 690, 691, 753, 752, 750, 751, 749, 748, 868, 869, 872, 873, 870, 871, 841, 840, 839, 838, 843, 842, 829, 828, 826, 827, 830, 831, 823, 822, 821, 820, 824, 825, 754, 755, 759, 758] +private def clayworthFaceOf_data_c17 : Array (Fin 1008) := #[757, 756, 736, 737, 739, 738, 740, 741, 877, 876, 878, 879, 874, 875, 790, 791, 793, 792, 794, 795, 708, 709, 706, 707, 711, 710, 700, 701, 703, 702, 704, 705, 765, 764, 763, 762, 761, 760, 818, 819, 815, 814, 816, 817, 774, 775, 776, 777, 772, 773, 695, 694, 699, 698, 696, 697, 723, 722, 721, 720, 719, 718, 713, 712, 716, 717, 714, 715, 743, 742, 745, 744, 747, 746, 856, 857, 861, 860, 858, 859, 848, 849, 847, 846, 844, 845, 800, 801, 799, 798, 796, 797, 726, 727, 728, 729, 724, 725, 812, 813, 810, 811, 809, 808, 803, 802, 806, 807, 805, 804, 768, 769, 767, 766, 771, 770, 862, 863, 867, 866, 864, 865, 788, 789, 784, 785, 786, 787, 783, 782, 778, 779, 780, 781, 854, 855, 851, 850, 852, 853, 402, 403, 400, 401, 405, 404, 510, 511, 509, 508, 513, 512, 473, 472, 476, 477, 474, 475, 438, 439, 436, 437, 441, 440, 498, 499, 501, 500, 496, 497, 430, 431, 432, 433, 434, 435, 444, 445, 442, 443, 446, 447, 452, 453, 448, 449, 450, 451, 578, 579, 577, 576, 574, 575, 546, 547, 548, 549, 545, 544, 521, 520, 523, 522, 525, 524, 421, 420, 423, 422, 418, 419, 488, 489, 486, 487, 485, 484, 428, 429, 424, 425, 427, 426, 456, 457, 455, 454, 458, 459, 561, 560, 559, 558, 557, 556, 563, 562, 566, 567, 565, 564, 469, 468, 467, 466, 470, 471, 541, 540, 542, 543, 538, 539, 407, 406, 408, 409, 410, 411, 572, 573, 569, 568, 570, 571, 528, 529, 527, 526, 530, 531, 414, 415, 413, 412, 416, 417, 482, 483, 479, 478, 481, 480, 463, 462, 460, 461, 465, 464, 519, 518, 517, 516, 514, 515, 534, 535, 532, 533, 536, 537, 492, 493, 491, 490, 495, 494, 554, 555, 552, 553, 550, 551, 588, 589, 586, 587, 591, 590, 502, 503, 505, 504, 506, 507, 583, 582, 580, 581, 584, 585, 311, 310, 315, 314, 313, 312, 227, 226, 231, 230, 229, 228, 239, 238, 243, 242, 240, 241, 297, 296, 294, 295, 293, 292, 357, 356, 353, 352, 355, 354, 351, 350, 346, 347, 348, 349, 362, 363, 359, 358, 360, 361, 365, 364, 367, 366, 369, 368, 316, 317, 321, 320, 319, 318, 302, 303, 298, 299, 300, 301, 386, 387, 384, 385, 383, 382, 290, 291, 286, 287, 289, 288, 393, 392, 389, 388, 390, 391, 215, 214, 217, 216, 219, 218, 284, 285, 281, 280, 283, 282, 335, 334, 339, 338, 336, 337, 327, 326, 324, 325, 322, 323, 307, 306, 308, 309, 305, 304, 396, 397, 394, 395, 398, 399, 247, 246, 248, 249, 244, 245, 377, 376, 381, 380, 378, 379, 340, 341, 343, 342, 345, 344, 274, 275, 279, 278, 276, 277, 333, 332, 329, 328, 331, 330, 261, 260, 256, 257, 258, 259, 271, 270, 272, 273, 268, 269, 223, 222, 225, 224, 221, 220, 208, 209, 210, 211, 212, 213] +private def clayworthFaceOf_data_c18 : Array (Fin 1008) := #[234, 235, 236, 237, 232, 233, 263, 262, 267, 266, 265, 264, 371, 370, 373, 372, 375, 374, 253, 252, 255, 254, 250, 251, 404, 405, 401, 400, 403, 402, 421, 420, 418, 419, 423, 422, 589, 588, 591, 590, 586, 587, 476, 477, 475, 474, 473, 472, 454, 455, 458, 459, 457, 456, 471, 470, 468, 469, 466, 467, 520, 521, 524, 525, 522, 523, 488, 489, 485, 484, 486, 487, 533, 532, 536, 537, 534, 535, 481, 480, 482, 483, 479, 478, 564, 565, 567, 566, 562, 563, 406, 407, 410, 411, 408, 409, 443, 442, 446, 447, 444, 445, 440, 441, 437, 436, 439, 438, 465, 464, 460, 461, 463, 462, 530, 531, 526, 527, 528, 529, 499, 498, 500, 501, 496, 497, 428, 429, 427, 426, 424, 425, 559, 558, 557, 556, 560, 561, 492, 493, 494, 495, 490, 491, 577, 576, 579, 578, 575, 574, 570, 571, 573, 572, 569, 568, 517, 516, 519, 518, 514, 515, 538, 539, 542, 543, 540, 541, 452, 453, 451, 450, 449, 448, 552, 553, 555, 554, 551, 550, 513, 512, 510, 511, 509, 508, 583, 582, 584, 585, 581, 580, 547, 546, 544, 545, 549, 548, 434, 435, 432, 433, 430, 431, 504, 505, 503, 502, 506, 507, 412, 413, 415, 414, 416, 417, 238, 239, 240, 241, 242, 243, 237, 236, 233, 232, 235, 234, 250, 251, 252, 253, 254, 255, 249, 248, 244, 245, 246, 247, 315, 314, 312, 313, 310, 311, 258, 259, 261, 260, 256, 257, 283, 282, 285, 284, 280, 281, 270, 271, 268, 269, 272, 273, 294, 295, 296, 297, 292, 293, 226, 227, 228, 229, 230, 231, 326, 327, 322, 323, 324, 325, 385, 384, 382, 383, 386, 387, 334, 335, 336, 337, 339, 338, 209, 208, 212, 213, 210, 211, 220, 221, 223, 222, 225, 224, 371, 370, 372, 373, 375, 374, 298, 299, 302, 303, 300, 301, 356, 357, 352, 353, 354, 355, 265, 264, 266, 267, 262, 263, 217, 216, 214, 215, 218, 219, 288, 289, 287, 286, 291, 290, 318, 319, 317, 316, 320, 321, 380, 381, 376, 377, 378, 379, 361, 360, 363, 362, 358, 359, 340, 341, 345, 344, 343, 342, 277, 276, 275, 274, 278, 279, 398, 399, 394, 395, 396, 397, 308, 309, 304, 305, 307, 306, 330, 331, 328, 329, 332, 333, 350, 351, 346, 347, 348, 349, 391, 390, 389, 388, 392, 393, 366, 367, 364, 365, 368, 369, 945, 944, 944, 945, 944, 945, 1001, 1000, 998, 999, 996, 997, 974, 975, 976, 977, 978, 979, 948, 949, 946, 947, 950, 951, 984, 985, 986, 987, 988, 989, 1007, 1006, 1006, 1007, 1007, 1006, 984, 985, 986, 987, 989, 988, 973, 972, 972, 973, 972, 973, 980, 981, 981, 980, 980, 981, 946, 947, 951, 950, 948, 949, 1003, 1002, 1003, 1002, 1002, 1003, 984, 985, 986, 987, 988, 989, 963, 962, 961, 960, 964, 965, 958, 959, 958, 959, 959, 958, 974, 975, 978, 979, 976, 977, 969, 968] +private def clayworthFaceOf_data_c19 : Array (Fin 1008) := #[966, 967, 970, 971, 964, 965, 963, 962, 961, 960, 994, 995, 993, 992, 990, 991, 994, 995, 993, 992, 990, 991, 946, 947, 948, 949, 950, 951, 998, 999, 996, 997, 1000, 1001, 976, 977, 978, 979, 974, 975, 969, 968, 970, 971, 967, 966, 1000, 1001, 996, 997, 999, 998, 965, 964, 960, 961, 963, 962, 982, 983, 983, 982, 982, 983, 955, 954, 956, 957, 952, 953, 953, 952, 957, 956, 954, 955, 968, 969, 971, 970, 966, 967, 992, 993, 995, 994, 991, 990, 1005, 1004, 1004, 1005, 1004, 1005, 956, 957, 953, 952, 955, 954, 874, 875, 877, 876, 878, 879, 783, 782, 780, 781, 778, 779, 735, 734, 733, 732, 730, 731, 831, 830, 827, 826, 829, 828, 767, 766, 771, 770, 769, 768, 763, 762, 761, 760, 765, 764, 790, 791, 794, 795, 793, 792, 786, 787, 784, 785, 788, 789, 691, 690, 693, 692, 689, 688, 832, 833, 834, 835, 836, 837, 807, 806, 803, 802, 805, 804, 869, 868, 871, 870, 873, 872, 852, 853, 854, 855, 850, 851, 713, 712, 715, 714, 716, 717, 865, 864, 866, 867, 863, 862, 748, 749, 751, 750, 752, 753, 824, 825, 820, 821, 822, 823, 839, 838, 841, 840, 843, 842, 777, 776, 774, 775, 772, 773, 721, 720, 719, 718, 722, 723, 706, 707, 711, 710, 709, 708, 798, 799, 801, 800, 797, 796, 726, 727, 728, 729, 724, 725, 757, 756, 754, 755, 759, 758, 816, 817, 814, 815, 819, 818, 858, 859, 861, 860, 856, 857, 745, 744, 742, 743, 747, 746, 695, 694, 696, 697, 699, 698, 813, 812, 808, 809, 811, 810, 848, 849, 844, 845, 846, 847, 702, 703, 704, 705, 700, 701, 740, 741, 737, 736, 738, 739, 18, 19, 17, 16, 20, 21, 76, 77, 78, 79, 81, 80, 100, 101, 104, 105, 102, 103, 167, 166, 169, 168, 171, 170, 36, 37, 34, 35, 38, 39, 141, 140, 138, 139, 137, 136, 86, 87, 82, 83, 85, 84, 46, 47, 48, 49, 50, 51, 58, 59, 61, 60, 62, 63, 52, 53, 54, 55, 56, 57, 111, 110, 107, 106, 109, 108, 161, 160, 163, 162, 165, 164, 155, 154, 156, 157, 158, 159, 70, 71, 75, 74, 72, 73, 150, 151, 148, 149, 152, 153, 98, 99, 96, 97, 94, 95, 30, 31, 28, 29, 32, 33, 196, 197, 199, 198, 201, 200, 128, 129, 127, 126, 125, 124, 22, 23, 26, 27, 25, 24, 179, 178, 182, 183, 181, 180, 90, 91, 93, 92, 88, 89, 40, 41, 45, 44, 43, 42, 192, 193, 190, 191, 195, 194, 116, 117, 114, 115, 112, 113, 188, 189, 187, 186, 185, 184, 147, 146, 143, 142, 144, 145, 135, 134, 130, 131, 132, 133, 66, 67, 64, 65, 68, 69, 206, 207, 202, 203, 205, 204, 118, 119, 121, 120, 122, 123, 174, 175, 172, 173, 176, 177, 881, 880, 880, 881, 880, 881, 919, 918, 917, 916, 915, 914, 886, 887, 882, 883] +private def clayworthFaceOf_data_c20 : Array (Fin 1008) := #[884, 885, 893, 892, 890, 891, 889, 888, 901, 900, 904, 905, 902, 903, 935, 934, 934, 935, 934, 935, 897, 896, 898, 899, 895, 894, 898, 899, 895, 894, 897, 896, 893, 892, 889, 888, 891, 890, 922, 923, 923, 922, 922, 923, 932, 933, 933, 932, 933, 932, 939, 938, 937, 936, 940, 941, 925, 924, 926, 927, 929, 928, 926, 927, 925, 924, 929, 928, 918, 919, 915, 914, 916, 917, 906, 907, 906, 907, 907, 906, 893, 892, 889, 888, 891, 890, 942, 943, 943, 942, 942, 943, 904, 905, 901, 900, 903, 902, 886, 887, 884, 885, 883, 882, 884, 885, 886, 887, 883, 882, 908, 909, 913, 912, 910, 911, 895, 894, 899, 898, 897, 896, 938, 939, 940, 941, 937, 936, 912, 913, 909, 908, 911, 910, 918, 919, 915, 914, 916, 917, 924, 925, 926, 927, 928, 929, 941, 940, 936, 937, 938, 939, 920, 921, 921, 920, 921, 920, 905, 904, 900, 901, 903, 902, 912, 913, 911, 910, 909, 908, 930, 931, 931, 930, 930, 931, 401, 400, 403, 402, 404, 405, 548, 549, 546, 547, 544, 545, 434, 435, 433, 432, 431, 430, 441, 440, 436, 437, 439, 438, 506, 507, 502, 503, 505, 504, 573, 572, 569, 568, 571, 570, 512, 513, 510, 511, 508, 509, 536, 537, 534, 535, 533, 532, 550, 551, 554, 555, 552, 553, 540, 541, 543, 542, 538, 539, 579, 578, 574, 575, 576, 577, 445, 444, 447, 446, 442, 443, 582, 583, 580, 581, 584, 585, 498, 499, 496, 497, 501, 500, 410, 411, 408, 409, 407, 406, 418, 419, 420, 421, 422, 423, 470, 471, 467, 466, 469, 468, 495, 494, 493, 492, 491, 490, 521, 520, 522, 523, 525, 524, 477, 476, 475, 474, 472, 473, 591, 590, 587, 586, 589, 588, 453, 452, 448, 449, 450, 451, 458, 459, 455, 454, 456, 457, 565, 564, 563, 562, 566, 567, 484, 485, 486, 487, 489, 488, 412, 413, 414, 415, 416, 417, 483, 482, 478, 479, 480, 481, 428, 429, 427, 426, 424, 425, 530, 531, 528, 529, 526, 527, 465, 464, 463, 462, 461, 460, 557, 556, 561, 560, 559, 558, 515, 514, 518, 519, 516, 517, 404, 405, 401, 400, 403, 402, 490, 491, 493, 492, 494, 495, 510, 511, 509, 508, 513, 512, 466, 467, 468, 469, 470, 471, 487, 486, 484, 485, 489, 488, 585, 584, 581, 580, 583, 582, 522, 523, 525, 524, 521, 520, 417, 416, 413, 412, 415, 414, 515, 514, 517, 516, 519, 518, 555, 554, 551, 550, 552, 553, 536, 537, 532, 533, 534, 535, 560, 561, 558, 559, 556, 557, 500, 501, 499, 498, 496, 497, 540, 541, 539, 538, 543, 542, 422, 423, 418, 419, 420, 421, 474, 475, 472, 473, 477, 476, 529, 528, 526, 527, 531, 530, 578, 579, 574, 575, 576, 577, 566, 567, 565, 564, 562, 563, 483, 482, 478, 479, 481, 480, 407, 406, 410, 411, 408, 409, 502, 503, 505, 504, 507, 506] +private def clayworthFaceOf_data_c21 : Array (Fin 1008) := #[464, 465, 462, 463, 460, 461, 549, 548, 544, 545, 547, 546, 569, 568, 570, 571, 573, 572, 444, 445, 446, 447, 443, 442, 441, 440, 439, 438, 437, 436, 457, 456, 459, 458, 455, 454, 591, 590, 586, 587, 589, 588, 435, 434, 430, 431, 433, 432, 450, 451, 452, 453, 448, 449, 426, 427, 424, 425, 428, 429, 849, 848, 845, 844, 847, 846, 815, 814, 817, 816, 818, 819, 781, 780, 782, 783, 778, 779, 700, 701, 704, 705, 703, 702, 802, 803, 805, 804, 806, 807, 694, 695, 698, 699, 697, 696, 719, 718, 721, 720, 722, 723, 726, 727, 725, 724, 729, 728, 746, 747, 744, 745, 743, 742, 859, 858, 857, 856, 861, 860, 737, 736, 740, 741, 738, 739, 827, 826, 831, 830, 828, 829, 758, 759, 757, 756, 755, 754, 712, 713, 714, 715, 716, 717, 770, 771, 769, 768, 766, 767, 732, 733, 735, 734, 730, 731, 869, 868, 873, 872, 870, 871, 774, 775, 773, 772, 777, 776, 842, 843, 840, 841, 839, 838, 690, 691, 692, 693, 688, 689, 710, 711, 708, 709, 706, 707, 836, 837, 833, 832, 835, 834, 798, 799, 796, 797, 800, 801, 750, 751, 748, 749, 752, 753, 788, 789, 784, 785, 786, 787, 825, 824, 823, 822, 821, 820, 762, 763, 764, 765, 760, 761, 855, 854, 851, 850, 853, 852, 876, 877, 875, 874, 879, 878, 791, 790, 792, 793, 795, 794, 809, 808, 813, 812, 810, 811, 864, 865, 866, 867, 862, 863, 404, 405, 402, 403, 401, 400, 579, 578, 575, 574, 576, 577, 503, 502, 505, 504, 507, 506, 462, 463, 460, 461, 464, 465, 418, 419, 423, 422, 420, 421, 584, 585, 583, 582, 581, 580, 561, 560, 558, 559, 556, 557, 417, 416, 412, 413, 415, 414, 516, 517, 514, 515, 518, 519, 472, 473, 475, 474, 477, 476, 549, 548, 547, 546, 545, 544, 587, 586, 589, 588, 591, 590, 407, 406, 408, 409, 410, 411, 536, 537, 534, 535, 533, 532, 467, 466, 468, 469, 470, 471, 436, 437, 438, 439, 440, 441, 487, 486, 484, 485, 489, 488, 426, 427, 424, 425, 428, 429, 512, 513, 510, 511, 508, 509, 434, 435, 433, 432, 431, 430, 500, 501, 499, 498, 497, 496, 458, 459, 456, 457, 454, 455, 483, 482, 478, 479, 480, 481, 524, 525, 522, 523, 521, 520, 491, 490, 494, 495, 493, 492, 571, 570, 568, 569, 572, 573, 529, 528, 530, 531, 526, 527, 451, 450, 452, 453, 449, 448, 442, 443, 445, 444, 447, 446, 553, 552, 555, 554, 551, 550, 539, 538, 541, 540, 543, 542, 564, 565, 563, 562, 567, 566, 607, 606, 604, 605, 609, 608, 629, 628, 631, 630, 633, 632, 678, 679, 681, 680, 676, 677, 663, 662, 660, 661, 659, 658, 673, 672, 670, 671, 675, 674, 645, 644, 643, 642, 640, 641, 674, 675, 671, 670, 673, 672, 639, 638, 635, 634, 636, 637, 667, 666, 664, 665, 669, 668, 596, 597] +private def clayworthFaceOf_data_c22 : Array (Fin 1008) := #[593, 592, 595, 594, 610, 611, 615, 614, 613, 612, 683, 682, 685, 684, 686, 687, 652, 653, 656, 657, 655, 654, 634, 635, 638, 639, 637, 636, 656, 657, 654, 655, 652, 653, 618, 619, 621, 620, 616, 617, 609, 608, 605, 604, 606, 607, 659, 658, 663, 662, 660, 661, 687, 686, 685, 684, 683, 682, 650, 651, 648, 649, 647, 646, 646, 647, 648, 649, 650, 651, 668, 669, 666, 667, 664, 665, 625, 624, 626, 627, 623, 622, 632, 633, 630, 631, 628, 629, 602, 603, 598, 599, 600, 601, 611, 610, 613, 612, 614, 615, 677, 676, 680, 681, 679, 678, 599, 598, 600, 601, 603, 602, 642, 643, 640, 641, 644, 645, 626, 627, 624, 625, 622, 623, 595, 594, 596, 597, 593, 592, 621, 620, 617, 616, 618, 619, 224, 225, 222, 223, 221, 220, 331, 330, 333, 332, 329, 328, 283, 282, 285, 284, 280, 281, 305, 304, 308, 309, 307, 306, 227, 226, 231, 230, 229, 228, 297, 296, 293, 292, 295, 294, 350, 351, 347, 346, 349, 348, 353, 352, 356, 357, 354, 355, 361, 360, 362, 363, 359, 358, 394, 395, 396, 397, 399, 398, 299, 298, 303, 302, 301, 300, 210, 211, 209, 208, 212, 213, 341, 340, 342, 343, 345, 344, 314, 315, 310, 311, 313, 312, 238, 239, 242, 243, 241, 240, 390, 391, 393, 392, 389, 388, 237, 236, 235, 234, 233, 232, 371, 370, 372, 373, 375, 374, 277, 276, 278, 279, 275, 274, 268, 269, 270, 271, 272, 273, 254, 255, 253, 252, 250, 251, 386, 387, 382, 383, 385, 384, 364, 365, 367, 366, 369, 368, 381, 380, 377, 376, 379, 378, 257, 256, 259, 258, 260, 261, 289, 288, 286, 287, 290, 291, 326, 327, 324, 325, 322, 323, 319, 318, 316, 317, 321, 320, 264, 265, 266, 267, 263, 262, 335, 334, 336, 337, 339, 338, 248, 249, 246, 247, 244, 245, 214, 215, 217, 216, 219, 218, 217, 216, 214, 215, 218, 219, 395, 394, 398, 399, 397, 396, 324, 325, 327, 326, 323, 322, 299, 298, 301, 300, 303, 302, 342, 343, 345, 344, 341, 340, 335, 334, 339, 338, 337, 336, 358, 359, 360, 361, 363, 362, 330, 331, 332, 333, 329, 328, 381, 380, 379, 378, 377, 376, 318, 319, 321, 320, 317, 316, 263, 262, 265, 264, 267, 266, 225, 224, 223, 222, 221, 220, 261, 260, 259, 258, 257, 256, 370, 371, 372, 373, 375, 374, 305, 304, 308, 309, 307, 306, 269, 268, 273, 272, 270, 271, 313, 312, 311, 310, 314, 315, 239, 238, 241, 240, 243, 242, 383, 382, 385, 384, 387, 386, 249, 248, 247, 246, 245, 244, 232, 233, 236, 237, 234, 235, 367, 366, 368, 369, 365, 364, 347, 346, 349, 348, 351, 350, 212, 213, 208, 209, 211, 210, 254, 255, 251, 250, 252, 253, 294, 295, 297, 296, 293, 292, 388, 389, 390, 391, 392, 393, 287, 286, 288, 289, 290, 291, 282, 283, 280, 281] +private def clayworthFaceOf_data_c23 : Array (Fin 1008) := #[284, 285, 226, 227, 231, 230, 229, 228, 355, 354, 353, 352, 357, 356, 278, 279, 276, 277, 274, 275, 20, 21, 16, 17, 19, 18, 78, 79, 80, 81, 77, 76, 53, 52, 54, 55, 57, 56, 176, 177, 173, 172, 175, 174, 109, 108, 107, 106, 111, 110, 126, 127, 124, 125, 128, 129, 95, 94, 96, 97, 98, 99, 88, 89, 93, 92, 91, 90, 180, 181, 182, 183, 178, 179, 187, 186, 185, 184, 188, 189, 118, 119, 123, 122, 120, 121, 49, 48, 51, 50, 46, 47, 22, 23, 26, 27, 24, 25, 165, 164, 161, 160, 162, 163, 144, 145, 146, 147, 142, 143, 45, 44, 43, 42, 41, 40, 104, 105, 103, 102, 101, 100, 31, 30, 33, 32, 28, 29, 156, 157, 158, 159, 155, 154, 197, 196, 200, 201, 198, 199, 83, 82, 85, 84, 87, 86, 202, 203, 204, 205, 206, 207, 151, 150, 149, 148, 152, 153, 135, 134, 132, 133, 130, 131, 112, 113, 116, 117, 115, 114, 61, 60, 58, 59, 62, 63, 141, 140, 137, 136, 138, 139, 167, 166, 169, 168, 171, 170, 68, 69, 66, 67, 65, 64, 191, 190, 194, 195, 192, 193, 34, 35, 38, 39, 36, 37, 73, 72, 74, 75, 71, 70, 880, 881, 881, 880, 880, 881, 911, 910, 912, 913, 909, 908, 937, 936, 939, 938, 941, 940, 918, 919, 916, 917, 914, 915, 930, 931, 931, 930, 930, 931, 924, 925, 928, 929, 926, 927, 927, 926, 925, 924, 929, 928, 933, 932, 932, 933, 933, 932, 884, 885, 886, 887, 883, 882, 906, 907, 907, 906, 906, 907, 900, 901, 903, 902, 905, 904, 900, 901, 902, 903, 905, 904, 921, 920, 921, 920, 920, 921, 896, 897, 898, 899, 894, 895, 934, 935, 934, 935, 935, 934, 917, 916, 914, 915, 919, 918, 884, 885, 883, 882, 886, 887, 888, 889, 891, 890, 893, 892, 941, 940, 939, 938, 937, 936, 916, 917, 915, 914, 919, 918, 890, 891, 889, 888, 892, 893, 896, 897, 895, 894, 899, 898, 928, 929, 926, 927, 924, 925, 910, 911, 913, 912, 908, 909, 900, 901, 902, 903, 904, 905, 939, 938, 941, 940, 936, 937, 912, 913, 910, 911, 908, 909, 923, 922, 922, 923, 922, 923, 894, 895, 896, 897, 898, 899, 942, 943, 942, 943, 943, 942, 891, 890, 888, 889, 893, 892, 882, 883, 884, 885, 886, 887, 404, 405, 400, 401, 402, 403, 456, 457, 455, 454, 459, 458, 569, 568, 570, 571, 573, 572, 529, 528, 526, 527, 531, 530, 408, 409, 407, 406, 410, 411, 560, 561, 558, 559, 557, 556, 538, 539, 541, 540, 542, 543, 585, 584, 580, 581, 582, 583, 521, 520, 522, 523, 525, 524, 471, 470, 467, 466, 469, 468, 517, 516, 514, 515, 519, 518, 413, 412, 417, 416, 414, 415, 424, 425, 426, 427, 428, 429, 588, 589, 590, 591, 587, 586, 553, 552, 554, 555, 551, 550, 490, 491, 492, 493, 494, 495] +private def clayworthFaceOf_data_c24 : Array (Fin 1008) := #[534, 535, 533, 532, 536, 537, 510, 511, 513, 512, 509, 508, 432, 433, 434, 435, 431, 430, 461, 460, 463, 462, 464, 465, 419, 418, 423, 422, 421, 420, 451, 450, 448, 449, 452, 453, 440, 441, 437, 436, 439, 438, 545, 544, 549, 548, 547, 546, 565, 564, 563, 562, 566, 567, 505, 504, 507, 506, 503, 502, 443, 442, 445, 444, 446, 447, 496, 497, 498, 499, 500, 501, 579, 578, 575, 574, 576, 577, 487, 486, 484, 485, 489, 488, 480, 481, 482, 483, 479, 478, 472, 473, 474, 475, 476, 477] + +private def clayworthFaceOf_data : Array (Fin 1008) := + clayworthFaceOf_data_c0 ++ clayworthFaceOf_data_c1 ++ clayworthFaceOf_data_c2 ++ clayworthFaceOf_data_c3 ++ clayworthFaceOf_data_c4 ++ clayworthFaceOf_data_c5 ++ clayworthFaceOf_data_c6 ++ clayworthFaceOf_data_c7 ++ clayworthFaceOf_data_c8 ++ clayworthFaceOf_data_c9 ++ clayworthFaceOf_data_c10 ++ clayworthFaceOf_data_c11 ++ clayworthFaceOf_data_c12 ++ clayworthFaceOf_data_c13 ++ clayworthFaceOf_data_c14 ++ clayworthFaceOf_data_c15 ++ clayworthFaceOf_data_c16 ++ clayworthFaceOf_data_c17 ++ clayworthFaceOf_data_c18 ++ clayworthFaceOf_data_c19 ++ clayworthFaceOf_data_c20 ++ clayworthFaceOf_data_c21 ++ clayworthFaceOf_data_c22 ++ clayworthFaceOf_data_c23 ++ clayworthFaceOf_data_c24 + +private theorem clayworthVertexOf_data_size : clayworthVertexOf_data.size = 12096 := by native_decide +private theorem clayworthEdgeOf_data_size : clayworthEdgeOf_data.size = 12096 := by native_decide +private theorem clayworthFaceOf_data_size : clayworthFaceOf_data.size = 12096 := by native_decide + +/-! ## Coset representatives -/ + +private def clayworthVertexRep_data_c0 : Array (Fin 12096) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691] +private def clayworthVertexRep_data_c1 : Array (Fin 12096) := #[692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383] +private def clayworthVertexRep_data_c2 : Array (Fin 12096) := #[1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075] +private def clayworthVertexRep_data_c3 : Array (Fin 12096) := #[2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767] +private def clayworthVertexRep_data_c4 : Array (Fin 12096) := #[2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459] +private def clayworthVertexRep_data_c5 : Array (Fin 12096) := #[3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4224, 4225, 4226, 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343] +private def clayworthVertexRep_data_c6 : Array (Fin 12096) := #[4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604, 4605, 4606, 4607, 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991, 5376, 5377, 5378, 5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5391, 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419] +private def clayworthVertexRep_data_c7 : Array (Fin 12096) := #[5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432, 5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454, 5455, 5456, 5457, 5458, 5459, 5460, 5461, 5462, 5463, 5464, 5465, 5466, 5467, 5468, 5469, 5470, 5471, 5472, 5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567, 5760, 5761, 5762, 5763, 5764, 5765, 5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846, 5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891, 5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950, 5951, 8832, 8833, 8834, 8835, 8836, 8837, 8838, 8839, 8840, 8841, 8842, 8843, 8844, 8845, 8846, 8847, 8848, 8849, 8850, 8851, 8852, 8853, 8854, 8855, 8856, 8857, 8858, 8859, 8860, 8861, 8862, 8863, 8864, 8865, 8866, 8867, 8868, 8869, 8870, 8871, 8872, 8873, 8874, 8875, 8876, 8877, 8878, 8879, 8880, 8881, 8882, 8883, 8884, 8885, 8886, 8887, 8888, 8889, 8890, 8891, 8892, 8893, 8894, 8895, 8896, 8897, 8898, 8899, 8900, 8901, 8902, 8903, 8904, 8905, 8906, 8907, 8908, 8909, 8910, 8911, 8912, 8913, 8914, 8915, 8916, 8917, 8918, 8919, 8920, 8921, 8922, 8923, 8924, 8925, 8926, 8927, 8928, 8929, 8930, 8931, 8932, 8933, 8934, 8935, 8936, 8937, 8938, 8939, 8940, 8941, 8942, 8943, 8944, 8945, 8946, 8947, 8948, 8949, 8950, 8951, 8952, 8953, 8954, 8955, 8956, 8957, 8958, 8959, 8960, 8961, 8962, 8963, 8964, 8965, 8966, 8967, 8968, 8969, 8970, 8971, 8972, 8973, 8974, 8975, 8976, 8977, 8978, 8979, 8980, 8981, 8982, 8983, 8984, 8985, 8986, 8987, 8988, 8989, 8990, 8991] +private def clayworthVertexRep_data_c8 : Array (Fin 12096) := #[8992, 8993, 8994, 8995, 8996, 8997, 8998, 8999, 9000, 9001, 9002, 9003, 9004, 9005, 9006, 9007, 9008, 9009, 9010, 9011, 9012, 9013, 9014, 9015, 9016, 9017, 9018, 9019, 9020, 9021, 9022, 9023] + +private def clayworthVertexRep_data : Array (Fin 12096) := + clayworthVertexRep_data_c0 ++ clayworthVertexRep_data_c1 ++ clayworthVertexRep_data_c2 ++ clayworthVertexRep_data_c3 ++ clayworthVertexRep_data_c4 ++ clayworthVertexRep_data_c5 ++ clayworthVertexRep_data_c6 ++ clayworthVertexRep_data_c7 ++ clayworthVertexRep_data_c8 + +private def clayworthEdgeRep_data_c0 : Array (Fin 12096) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691] +private def clayworthEdgeRep_data_c1 : Array (Fin 12096) := #[692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1344, 1345, 1346, 1347, 1348, 1349, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1380, 1381, 1382, 1383, 1384, 1385, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401] +private def clayworthEdgeRep_data_c2 : Array (Fin 12096) := #[1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1412, 1413, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1446, 1447, 1448, 1449, 1450, 1451, 1458, 1459, 1460, 1461, 1462, 1463, 1476, 1478, 1479, 1494, 1496, 1497, 1518, 1519, 1520, 1521, 1522, 1523, 1530, 1531, 1534, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1968, 1969, 1970, 1971, 1972, 1973, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997] +private def clayworthEdgeRep_data_c3 : Array (Fin 12096) := #[2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2058, 2059, 2060, 2061, 2062, 2063, 2070, 2071, 2072, 2073, 2074, 2075, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767] +private def clayworthEdgeRep_data_c4 : Array (Fin 12096) := #[2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459] +private def clayworthEdgeRep_data_c5 : Array (Fin 12096) := #[3460, 3461, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3546, 3547, 3548, 3549, 3550, 3551, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055] +private def clayworthEdgeRep_data_c6 : Array (Fin 12096) := #[4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136, 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145, 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154, 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163, 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172, 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181, 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199, 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208, 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217, 4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226, 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550, 4551, 4552, 4553, 4554, 4555] +private def clayworthEdgeRep_data_c7 : Array (Fin 12096) := #[4556, 4557, 4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613, 4620, 4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640, 4641, 4642, 4643, 4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685, 4692, 4693, 4694, 4695, 4696, 4697, 4698, 4700, 4701, 4710, 4711, 4712, 4713, 4714, 4715, 4728, 4730, 4731, 4734, 4735, 4736, 4737, 4738, 4739, 4758, 4759, 4760, 4761, 4762, 4763, 4794, 4795, 4796, 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146, 5147, 5148, 5149, 5150, 5151] +private def clayworthEdgeRep_data_c8 : Array (Fin 12096) := #[5152, 5153, 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191, 5192, 5193, 5194, 5195, 5196, 5197, 5198, 5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373, 5374, 5375, 5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678, 5679, 5680, 5681, 5682, 5683, 5684, 5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702, 5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5729, 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747, 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755, 5756, 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764, 5765, 5766, 5767, 5768, 5769, 5770, 5771, 5778, 5779, 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788, 5789, 5796, 5797, 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806, 5807, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846, 5847, 5848, 5849, 5862, 5863, 5864, 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873] +private def clayworthEdgeRep_data_c9 : Array (Fin 12096) := #[5904, 5905, 5906, 5907, 5908, 5909, 5922, 5923, 5924, 5925, 5926, 5927, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972, 5973, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999, 6000, 6001, 6002, 6003, 6004, 6005, 6006, 6008, 6009, 6012, 6013, 6014, 6015, 6016, 6017, 6036, 6037, 6038, 6039, 6040, 6041, 6042, 6043, 6044, 6045, 6046, 6047, 6054, 6055, 6056, 6057, 6058, 6059, 6066, 6068, 6069, 6084, 6085, 6086, 6087, 6088, 6089, 6090, 6091, 6094, 6138, 6139, 6140, 6720, 6721, 6722, 6723, 6724, 6725, 6726, 6727, 6728, 6729, 6730, 6731, 6732, 6733, 6734, 6735, 6736, 6737, 6738, 6739, 6740, 6741, 6742, 6743, 6744, 6745, 6746, 6747, 6748, 6749, 6750, 6751, 6752, 6753, 6754, 6755, 6756, 6757, 6758, 6759, 6760, 6761, 6762, 6763, 6764, 6765, 6766, 6767, 6768, 6769, 6770, 6771, 6772, 6773, 6774, 6775, 6776, 6777, 6778, 6779, 6780, 6781, 6782, 6783, 6784, 6785, 6786, 6787, 6788, 6789, 6790, 6791, 6792, 6793, 6794, 6795, 6796, 6797, 6798, 6799, 6800, 6801, 6802, 6803, 6804, 6805, 6806, 6807, 6808, 6809, 6810, 6811, 6812, 6813, 6814, 6815, 6816, 6817, 6818, 6819, 6820, 6821, 6822, 6823, 6824, 6825, 6826, 6827, 6828, 6829, 6830, 6831, 6832, 6833, 6834, 6835, 6836, 6837, 6838, 6839, 6840, 6841, 6842, 6843, 6844, 6845, 6846, 6847, 6848, 6849, 6850, 6851, 6852, 6853, 6854, 6855, 6856, 6857, 6858, 6859, 6860, 6861, 6862, 6863, 6864, 6865, 6866, 6867, 6868, 6869, 6870, 6871, 6872, 6873, 6874, 6875, 6876, 6877, 6878, 6879, 6880, 6881, 6882, 6883, 6884, 6885, 6886, 6887, 6888, 6889, 6890, 6891, 6892, 6893, 6894, 6895, 6896, 6897, 6898, 6899, 6900, 6901, 6902, 6903, 6904, 6905, 6906, 6907, 6908, 6909, 6910, 6911, 6912, 6913, 6914, 6915, 6916, 6917, 6918, 6919, 6920, 6921, 6922, 6923, 6924, 6925, 6926, 6927, 6928, 6929, 6930, 6931, 6932, 6933, 6934, 6935, 6936, 6937, 6938, 6939, 6940, 6941, 6942, 6943, 6944, 6945, 6946, 6947, 6948, 6949, 6950, 6951, 6952, 6953, 6954, 6955, 6956, 6957, 6958, 6959, 6960, 6961, 6962, 6963, 6964, 6965, 6966, 6967, 6968, 6969, 6970, 6971, 6972, 6973, 6974, 6975, 6976, 6977, 6978, 6979, 6980, 6981, 6982, 6983, 6984, 6985, 6986, 6987, 6988, 6989, 6990, 6991, 6992, 6993, 6994, 6995, 6996, 6997, 6998, 6999, 7000, 7001, 7002, 7003, 7004, 7005, 7006, 7007, 7008, 7009, 7010, 7011, 7012, 7013, 7014, 7015, 7016, 7017, 7018, 7019, 7020, 7021, 7022, 7023, 7024, 7025, 7026, 7027, 7028, 7029, 7030, 7031, 7032, 7033, 7034, 7035, 7036, 7037, 7038, 7039, 7040, 7041, 7042, 7043, 7044, 7045, 7046, 7047, 7048, 7049, 7050, 7051, 7052, 7053, 7054, 7055, 7056, 7057, 7058, 7059, 7060, 7061, 7062, 7063, 7064, 7065, 7066, 7067, 7068, 7069, 7070, 7071, 7072, 7073, 7074, 7075, 7076, 7077, 7078, 7079, 7080, 7081, 7082, 7083, 7084, 7085, 7086, 7087, 7088, 7089, 7090, 7091, 7092, 7093, 7094, 7095, 7096, 7097, 7098, 7099, 7100, 7101, 7102, 7103, 7104, 7105, 7106, 7107, 7108, 7109, 7110, 7111] +private def clayworthEdgeRep_data_c10 : Array (Fin 12096) := #[7112, 7113, 7114, 7115, 7116, 7117, 7118, 7119, 7120, 7121, 7122, 7123, 7124, 7125, 7126, 7127, 7128, 7129, 7130, 7131, 7132, 7133, 7134, 7135, 7136, 7137, 7138, 7139, 7140, 7141, 7142, 7143, 7144, 7145, 7146, 7147, 7148, 7149, 7150, 7151, 7152, 7153, 7154, 7155, 7156, 7157, 7158, 7159, 7160, 7161, 7162, 7163, 7164, 7165, 7166, 7167, 7168, 7169, 7170, 7171, 7172, 7173, 7174, 7175, 7176, 7177, 7178, 7179, 7180, 7181, 7182, 7183, 7184, 7185, 7186, 7187, 7188, 7189, 7190, 7191, 7192, 7193, 7194, 7195, 7196, 7197, 7198, 7199, 7200, 7201, 7202, 7203, 7204, 7205, 7206, 7207, 7208, 7209, 7210, 7211, 7212, 7213, 7214, 7215, 7216, 7217, 7218, 7219, 7220, 7221, 7222, 7223, 7224, 7225, 7226, 7227, 7228, 7229, 7230, 7231, 7232, 7233, 7234, 7235, 7236, 7237, 7238, 7239, 7240, 7241, 7242, 7243, 7244, 7245, 7246, 7247, 7248, 7249, 7250, 7251, 7252, 7253, 7254, 7255, 7256, 7257, 7258, 7259, 7260, 7261, 7262, 7263, 7264, 7265, 7266, 7267, 7268, 7269, 7270, 7271, 7272, 7273, 7274, 7275, 7276, 7277, 7278, 7279, 7280, 7281, 7282, 7283, 7284, 7285, 7286, 7287, 7288, 7289, 7290, 7291, 7292, 7293, 7294, 7295, 7488, 7489, 7490, 7491, 7492, 7493, 7494, 7495, 7496, 7497, 7498, 7499, 7500, 7501, 7502, 7503, 7504, 7505, 7506, 7507, 7508, 7509, 7510, 7511, 7512, 7513, 7514, 7515, 7516, 7517, 7518, 7519, 7520, 7521, 7522, 7523, 7524, 7525, 7526, 7527, 7528, 7529, 7530, 7531, 7532, 7533, 7534, 7535, 7536, 7537, 7538, 7539, 7540, 7541, 7542, 7543, 7544, 7545, 7546, 7547, 7548, 7549, 7550, 7551, 7552, 7553, 7554, 7555, 7556, 7557, 7558, 7559, 7560, 7561, 7562, 7563, 7564, 7565, 7566, 7567, 7568, 7569, 7570, 7571, 7572, 7573, 7574, 7575, 7576, 7577, 7578, 7579, 7580, 7581, 7582, 7583, 7584, 7585, 7586, 7587, 7588, 7589, 7590, 7591, 7592, 7593, 7594, 7595, 7596, 7597, 7598, 7599, 7600, 7601, 7602, 7603, 7604, 7605, 7606, 7607, 7608, 7609, 7610, 7611, 7612, 7613, 7614, 7615, 7616, 7617, 7618, 7619, 7620, 7621, 7622, 7623, 7624, 7625, 7626, 7627, 7628, 7629, 7630, 7631, 7632, 7633, 7634, 7635, 7636, 7637, 7638, 7639, 7640, 7641, 7642, 7643, 7644, 7645, 7646, 7647, 7648, 7649, 7650, 7651, 7652, 7653, 7654, 7655, 7656, 7657, 7658, 7659, 7660, 7661, 7662, 7663, 7664, 7665, 7666, 7667, 7668, 7669, 7670, 7671, 7672, 7673, 7674, 7675, 7676, 7677, 7678, 7679, 8256, 8257, 8258, 8259, 8260, 8261, 8262, 8263, 8264, 8265, 8266, 8267, 8268, 8269, 8270, 8274, 8275, 8276, 8277, 8278, 8279, 8280, 8281, 8282, 8283, 8284, 8285, 8286, 8287, 8288, 8289, 8290, 8291, 8298, 8299, 8300, 8301, 8302, 8303, 8304, 8305, 8306, 8307, 8308, 8309, 8310, 8311, 8312, 8313, 8314, 8315, 8316, 8317, 8318, 8319, 8320, 8321, 8322, 8324, 8325, 8328, 8329, 8330, 8331, 8332, 8333, 8334, 8335, 8336, 8337, 8338, 8339, 8340, 8341, 8342, 8343, 8344, 8345, 8346, 8347, 8350, 8358, 8359, 8360, 8361, 8362, 8363, 8400, 8401, 8404, 8412, 8413, 8414, 8415, 8416, 8417, 9216, 9217, 9218, 9219, 9220, 9221, 9222, 9223, 9224, 9225, 9226, 9227, 9228, 9229, 9230, 9231, 9232, 9233, 9234, 9235, 9236, 9237, 9238, 9239, 9240, 9241, 9242, 9243] +private def clayworthEdgeRep_data_c11 : Array (Fin 12096) := #[9244, 9245, 9246, 9247, 9248, 9249, 9250, 9251, 9252, 9253, 9254, 9255, 9256, 9257, 9258, 9259, 9260, 9261, 9262, 9263, 9264, 9265, 9266, 9267, 9268, 9269, 9270, 9271, 9272, 9273, 9274, 9275, 9276, 9277, 9278, 9279, 9280, 9281, 9282, 9283, 9284, 9285, 9286, 9287, 9288, 9289, 9290, 9291, 9292, 9293, 9294, 9295, 9296, 9297, 9298, 9299, 9300, 9301, 9302, 9303, 9304, 9305, 9306, 9307, 9308, 9309, 9310, 9311, 9312, 9313, 9314, 9315, 9316, 9317, 9318, 9319, 9320, 9321, 9322, 9323, 9324, 9325, 9326, 9327, 9328, 9329, 9330, 9331, 9332, 9333, 9334, 9335, 9336, 9337, 9338, 9339, 9340, 9341, 9342, 9343, 9344, 9345, 9346, 9347, 9348, 9349, 9350, 9351, 9352, 9353, 9354, 9355, 9356, 9357, 9358, 9359, 9360, 9361, 9362, 9363, 9364, 9365, 9366, 9367, 9368, 9369, 9370, 9371, 9372, 9373, 9374, 9375, 9376, 9377, 9378, 9379, 9380, 9381, 9382, 9383, 9384, 9385, 9386, 9387, 9388, 9389, 9390, 9391, 9392, 9393, 9394, 9395, 9396, 9397, 9398, 9399, 9400, 9401, 9402, 9403, 9404, 9405, 9406, 9407, 9600, 9601, 9602, 9603, 9604, 9605, 9606, 9607, 9608, 9609, 9610, 9611, 9612, 9613, 9614, 9615, 9616, 9617, 9618, 9620, 9621, 9624, 9625, 9626, 9627, 9628, 9629, 9630, 9631, 9632, 9633, 9634, 9635, 9636, 9637, 9638, 9639, 9640, 9641, 9654, 9655, 9656, 9657, 9658, 9659, 9660, 9661, 9662, 9663, 9664, 9665, 9666, 9667, 9668, 9669, 9670, 9671, 9672, 9673, 9674, 9675, 9676, 9677, 9678, 9679, 9682, 9690, 9691, 9692, 9693, 9694, 9695, 9702, 9703, 9704, 9705, 9706, 9707, 9714, 9716, 9717, 9732, 9733, 9734, 9735, 9736, 9737, 9750, 9751, 9752, 9753, 9754, 9755, 9786, 9787, 9790, 10368, 10369, 10370, 10371, 10372, 10373, 10374, 10375, 10376, 10377, 10378, 10379, 10380, 10381, 10382, 10383, 10384, 10385, 10386, 10387, 10388, 10389, 10390, 10391, 10392, 10393, 10394, 10395, 10396, 10397, 10398, 10399, 10400, 10401, 10402, 10403, 10404, 10405, 10406, 10407, 10408, 10409, 10410, 10411, 10412, 10413, 10414, 10415, 10416, 10417, 10418, 10419, 10420, 10421, 10422, 10423, 10424, 10425, 10426, 10427, 10428, 10429, 10430, 10431, 10432, 10433, 10434, 10435, 10436, 10437, 10438, 10439, 10440, 10441, 10442, 10443, 10444, 10445, 10446, 10447, 10448, 10449, 10450, 10451, 10452, 10453, 10454, 10455, 10456, 10457, 10458, 10459, 10460, 10461, 10462, 10463, 10464, 10465, 10466, 10467, 10468, 10469, 10470, 10471, 10472, 10473, 10474, 10475, 10476, 10477, 10478, 10479, 10480, 10481, 10482, 10483, 10484, 10485, 10486, 10487, 10488, 10489, 10490, 10491, 10492, 10493, 10494, 10495, 10496, 10497, 10498, 10499, 10500, 10501, 10502, 10503, 10504, 10505, 10506, 10507, 10508, 10509, 10510, 10511, 10512, 10513, 10514, 10515, 10516, 10517, 10518, 10519, 10520, 10521, 10522, 10523, 10524, 10525, 10526, 10527, 10528, 10529, 10530, 10531, 10532, 10533, 10534, 10535, 10536, 10537, 10538, 10539, 10540, 10541, 10542, 10543, 10544, 10545, 10546, 10547, 10548, 10549, 10550, 10551, 10552, 10553, 10554, 10555, 10556, 10557, 10558, 10559, 11904, 11905, 11906, 11907, 11908, 11909, 11910, 11911, 11912, 11913, 11914, 11915, 11922, 11923, 11924, 11925, 11926, 11927, 11928, 11929, 11930, 11931, 11932, 11933, 11940, 11942, 11943, 11946, 11947, 11948, 11949, 11950, 11951, 11952, 11953, 11954, 11955, 11956, 11957, 11958, 11959, 11960, 11961, 11962, 11963, 11970, 11971, 11972] +private def clayworthEdgeRep_data_c12 : Array (Fin 12096) := #[11973, 11974, 11975, 11982, 11983, 11984, 11985, 11986, 11987, 11988, 11989, 11990, 11991, 11992, 11993, 11994, 11995, 11996, 11997, 11998, 11999, 12000, 12002, 12003, 12006, 12007, 12008, 12009, 12010, 12011, 12012, 12014, 12015, 12036, 12037, 12038, 12039, 12040, 12041, 12054, 12055, 12056, 12057, 12058, 12059, 12066, 12068, 12069] + +private def clayworthEdgeRep_data : Array (Fin 12096) := + clayworthEdgeRep_data_c0 ++ clayworthEdgeRep_data_c1 ++ clayworthEdgeRep_data_c2 ++ clayworthEdgeRep_data_c3 ++ clayworthEdgeRep_data_c4 ++ clayworthEdgeRep_data_c5 ++ clayworthEdgeRep_data_c6 ++ clayworthEdgeRep_data_c7 ++ clayworthEdgeRep_data_c8 ++ clayworthEdgeRep_data_c9 ++ clayworthEdgeRep_data_c10 ++ clayworthEdgeRep_data_c11 ++ clayworthEdgeRep_data_c12 + +private def clayworthFaceRep_data_c0 : Array (Fin 12096) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 24, 25, 30, 31, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675] +private def clayworthFaceRep_data_c1 : Array (Fin 12096) := #[676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1224, 1225, 1226, 1227, 1228, 1229, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1272, 1273, 1274, 1275, 1276, 1277, 1296, 1297, 1298, 1299, 1300, 1301, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1578, 1579, 1584, 1585, 1586, 1587, 1588, 1589, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1614, 1615, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1668, 1669, 1686, 1687, 1692, 1693, 1694, 1695, 1696, 1697, 1716, 1717, 2304, 2305, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2328, 2329, 2330, 2331, 2332, 2333, 2340, 2341, 2342, 2343, 2344, 2345, 2358, 2359, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2376, 2377, 2382, 2383, 2384, 2385, 2386, 2387, 2394, 2395, 2396, 2397, 2398, 2399, 2412, 2413, 2414, 2415] +private def clayworthFaceRep_data_c2 : Array (Fin 12096) := #[2416, 2417, 2454, 2455, 2466, 2467, 2490, 2491] + +private def clayworthFaceRep_data : Array (Fin 12096) := + clayworthFaceRep_data_c0 ++ clayworthFaceRep_data_c1 ++ clayworthFaceRep_data_c2 + +private theorem clayworthVertexRep_data_size : clayworthVertexRep_data.size = 4032 := by native_decide +private theorem clayworthEdgeRep_data_size : clayworthEdgeRep_data.size = 6048 := by native_decide +private theorem clayworthFaceRep_data_size : clayworthFaceRep_data.size = 1008 := by native_decide + +/-! ## TriangleGroupData instance -/ + +set_option maxHeartbeats 1600000 in +/-- Triangle group data for the Clayworth surface: Δ(2,3,12) acting on 12096 darts. -/ +def clayworthTriangleData : TriangleGroupData 12096 4032 6048 1008 12 where + R := ⟨arrayToFin' clayworthR_fwd clayworthR_fwd_size, + arrayToFin' clayworthR_inv clayworthR_inv_size, + by native_decide, by native_decide⟩ + S := ⟨arrayToFin' clayworthS_fwd clayworthS_fwd_size, + arrayToFin' clayworthS_inv clayworthS_inv_size, + by native_decide, by native_decide⟩ + T_eq_RS := fun _ => rfl + vertexOf := arrayToFin' clayworthVertexOf_data clayworthVertexOf_data_size + edgeOf := arrayToFin' clayworthEdgeOf_data clayworthEdgeOf_data_size + faceOf := arrayToFin' clayworthFaceOf_data clayworthFaceOf_data_size + vertexRep := arrayToFin' clayworthVertexRep_data clayworthVertexRep_data_size + edgeRep := arrayToFin' clayworthEdgeRep_data clayworthEdgeRep_data_size + faceRep := arrayToFin' clayworthFaceRep_data clayworthFaceRep_data_size + vertexOf_S := by native_decide + vertexOf_rep := by native_decide + edgeOf_T := by native_decide + edgeOf_rep := by native_decide + faceOf_R := by native_decide + faceOf_rep := by native_decide edge_ne := by native_decide - face_len := fun _ => 12 - face_len_pos := fun _ => by norm_num - face_edge := fun f i => - have := ClayworthSurface_face_edge_size - ClayworthSurface_face_edge_data[f.val * 12 + i.val]'(by omega) - face_dir := fun f i => - have := ClayworthSurface_face_dir_size - ClayworthSurface_face_dir_data[f.val * 12 + i.val]'(by omega) face_inj := by native_decide - face_closed := by native_decide -/-- Euler characteristic confirms genus 505. -/ -theorem clayworthSurface_euler : - (4032 : ℤ) - 6048 + 1008 = 2 - 2 * 505 := by norm_num +set_option maxHeartbeats 1600000 in +/-- The Clayworth surface as a CellularSurface, constructed via Δ(2,3,12). -/ +def clayworthSurface : CellularSurface := + clayworthTriangleData.toCellularSurface (by norm_num) (by native_decide) diff --git a/Archive/TriangleGroupSurface.lean b/Archive/TriangleGroupSurface.lean new file mode 100644 index 00000000000000..6bc6b64b458460 --- /dev/null +++ b/Archive/TriangleGroupSurface.lean @@ -0,0 +1,144 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface + +/-! +# CellularSurface from a triangle group Δ(2,3,r) + +A finite group G that is a quotient of the triangle group Δ(2,3,r) = +⟨R, S | R^r = S³ = (RS)² = 1⟩ gives rise to a `{r,3}` regular map on a +closed orientable surface. This file constructs the corresponding +`CellularSurface` from the regular representation of G on its 12096 darts. + +The **darts** (half-edges) of the map are the elements of G. The three +generators act by right multiplication and partition darts into cosets: + - S (order 3): vertex rotation → |G|/3 vertices + - T = RS (order 2): edge flip → |G|/2 edges + - R (order r): face rotation → |G|/r faces + +The crucial identity for `face_closed` is: T = RS implies + `vertexOf(T(d)) = vertexOf(S(R(d))) = vertexOf(R(d))` +because S preserves vertex cosets (left cosets of ⟨S⟩). + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +* Coxeter–Moser, *Generators and Relations for Discrete Groups*, Ch. 8 +-/ + +/-! ## Array-to-function helper -/ + +/-- Convert an `Array` to a function on `Fin n`, given a size proof. O(1) lookup. -/ +def arrayToFin' {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := + a[i.val]'(by omega) + +/-! ## TriangleGroupData -/ + +/-- The data of a triangle group Δ(2,3,r) acting on darts, together with +coset projection maps for vertices (⟨S⟩-cosets), edges (⟨T⟩-cosets), and +faces (⟨R⟩-cosets). All cosets are **left** cosets, so that right +multiplication by S, T, R preserves the respective coset partitions. -/ +structure TriangleGroupData (nDarts nV nE nF r : ℕ) where + /-- Face rotation (order r) as a permutation of darts. -/ + R : Equiv.Perm (Fin nDarts) + /-- Vertex rotation (order 3) as a permutation of darts. -/ + S : Equiv.Perm (Fin nDarts) + /-- T = R.trans S: the composition S ∘ R (edge involution, order 2). -/ + T_eq_RS : ∀ d : Fin nDarts, (R.trans S) d = (R.trans S) d + /-- Vertex coset projection. -/ + vertexOf : Fin nDarts → Fin nV + /-- Edge coset projection. -/ + edgeOf : Fin nDarts → Fin nE + /-- Face coset projection. -/ + faceOf : Fin nDarts → Fin nF + /-- Vertex coset representative. -/ + vertexRep : Fin nV → Fin nDarts + /-- Edge coset representative. -/ + edgeRep : Fin nE → Fin nDarts + /-- Face coset representative. -/ + faceRep : Fin nF → Fin nDarts + /-- S preserves vertex cosets. -/ + vertexOf_S : ∀ d, vertexOf (S d) = vertexOf d + /-- vertexRep is a section of vertexOf. -/ + vertexOf_rep : ∀ v, vertexOf (vertexRep v) = v + /-- T preserves edge cosets. -/ + edgeOf_T : ∀ d, edgeOf ((R.trans S) d) = edgeOf d + /-- edgeRep is a section of edgeOf. -/ + edgeOf_rep : ∀ e, edgeOf (edgeRep e) = e + /-- R preserves face cosets. -/ + faceOf_R : ∀ d, faceOf (R d) = faceOf d + /-- faceRep is a section of faceOf. -/ + faceOf_rep : ∀ f, faceOf (faceRep f) = f + /-- No loops: each edge connects distinct vertices. -/ + edge_ne : ∀ e : Fin nE, + vertexOf (edgeRep e) ≠ vertexOf ((R.trans S) (edgeRep e)) + /-- Trail condition: each face boundary visits r distinct edges. -/ + face_inj : ∀ (f : Fin nF) (i j : Fin r), + edgeOf ((R ^ (i.val : ℕ)) (faceRep f)) = edgeOf ((R ^ (j.val : ℕ)) (faceRep f)) → i = j + +namespace TriangleGroupData + +variable {nDarts nV nE nF r : ℕ} (D : TriangleGroupData nDarts nV nE nF r) + +/-- The edge involution T = R.trans S. -/ +abbrev T : Equiv.Perm (Fin nDarts) := D.R.trans D.S + +/-! ## Key algebraic lemma -/ + +/-- The "other end" of a dart has the same vertex as the R-successor. +This is the triangle group identity: T(d) = S(R(d)), and S preserves +vertex cosets. -/ +theorem vertexOf_T_eq_R (d : Fin nDarts) : + D.vertexOf (D.T d) = D.vertexOf (D.R d) := by + change D.vertexOf ((D.R.trans D.S) d) = D.vertexOf (D.R d) + simp only [Equiv.trans_apply] + exact D.vertexOf_S (D.R d) + +/-! ## CellularSurface construction -/ + +/-- Build a `CellularSurface` from triangle group data. + +Edges: `edge_src e = vertexOf(edgeRep e)`, `edge_tgt e = vertexOf(T(edgeRep e))`. +Faces: step i of face f uses dart `R^i(faceRep f)`. +Direction: `true` iff the dart is the canonical dart of its edge. + +The `face_closed` proof is supplied as a parameter; it holds because +`vertexOf(T(d)) = vertexOf(R(d))` by `vertexOf_T_eq_R`, but the +bookkeeping through the Bool-valued `face_dir` is verified by `native_decide`. -/ +def toCellularSurface + (hr : 0 < r) + (h_face_closed : ∀ (f : Fin nF) (i : Fin r), + let d := ((D.R ^ (i.val : ℕ))) (D.faceRep f) + let e := D.edgeOf d + let dir := decide (D.edgeRep e = d) + let j : Fin r := ⟨(i.val + 1) % r, Nat.mod_lt _ hr⟩ + let d' := ((D.R ^ (j.val : ℕ))) (D.faceRep f) + let e' := D.edgeOf d' + let dir' := decide (D.edgeRep e' = d') + (if dir then D.vertexOf (D.T (D.edgeRep e)) + else D.vertexOf (D.edgeRep e)) = + (if dir' then D.vertexOf (D.edgeRep e') + else D.vertexOf (D.T (D.edgeRep e')))) + : CellularSurface where + nV := nV + nE := nE + nF := nF + edge_src e := D.vertexOf (D.edgeRep e) + edge_tgt e := D.vertexOf (D.T (D.edgeRep e)) + edge_ne := D.edge_ne + face_len _ := r + face_len_pos _ := hr + face_edge f i := D.edgeOf (((D.R ^ (i.val : ℕ))) (D.faceRep f)) + face_dir f i := + decide (D.edgeRep (D.edgeOf (((D.R ^ (i.val : ℕ))) (D.faceRep f))) = + ((D.R ^ (i.val : ℕ))) (D.faceRep f)) + face_inj f := by + intro i j h + exact D.face_inj f i j h + face_closed f i := by + exact h_face_closed f i + +end TriangleGroupData From dc1a5d02c1e29f7c12156e2e7dc555fb1104505b Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 22:20:34 +1000 Subject: [PATCH 33/35] chore(Archive): move ClayworthSabidussi to the Meinhold PR The Sabidussi coset graph proof for Clayworth (4032 vertices) is independent of the CellularSurface instances and belongs with the Meinhold quotient construction (#39684) where it is actually used. Removing it from this PR eliminates a CI timeout. --- Archive.lean | 1 - Archive/ClayworthSabidussi.lean | 1885 ------------------------------- 2 files changed, 1886 deletions(-) delete mode 100644 Archive/ClayworthSabidussi.lean diff --git a/Archive.lean b/Archive.lean index 69e7336c8236d8..eee82bb9e02f74 100644 --- a/Archive.lean +++ b/Archive.lean @@ -1,6 +1,5 @@ import Archive.Arithcc import Archive.BolzaSurface -import Archive.ClayworthSabidussi import Archive.ClayworthSurface import Archive.Examples.Eisenstein import Archive.Examples.IfNormalization.Result diff --git a/Archive/ClayworthSabidussi.lean b/Archive/ClayworthSabidussi.lean deleted file mode 100644 index 007cc5c2fc8c75..00000000000000 --- a/Archive/ClayworthSabidussi.lean +++ /dev/null @@ -1,1885 +0,0 @@ -/- -Copyright (c) 2026 Robin Langer. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Robin Langer --/ -import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness - -/-! -# Clayworth graph: Sabidussi coset graph on 4032 vertices - -The **Clayworth graph** (4032 vertices, cubic, genus 505) is `Sab(G₂(2), C₃)`. -`|G₂(2)| = 12096`, `|C₃| = 3`, `12096/3 = 4032` vertices. - -The graph is defined via O(1) neighbor lookup from precomputed adjacency data. -Two generators of G₂(2) (orders 7 and 6) are shown to preserve adjacency, -and BFS witness words prove transitivity. - -* **Main result**: `clayworthSabidussiIso` — the Clayworth graph is a Sabidussi - coset graph -* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/clayworth-4032v.jpg) - -## References - -* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 --/ - -set_option linter.style.longFile 1900 -set_option linter.style.longLine false -set_option linter.style.nativeDecide false - -/-! ## Neighbor data (O(3) adjacency lookup) -/ - -private def clayworthNeighborData_chunk0 : Array (Fin 4032) := #[ - 65, 1480, 2592, 192, 1809, 3703, 321, 1120, 3080, 640, 3323, 3345, 659, 2616, 3406, 338, 3665, 3770, 71, 669, 3308, 198, 348, 1123, 1088, 2555, 3074, 3264, 3388, 3995, - 842, 2806, 3210, 970, 2085, 2319, 997, 2068, 3096, 2774, 3247, 3383, 2534, 3079, 3858, 2899, 3379, 3980, 2390, 2495, 3422, 3143, 3723, 3941, 211, 1144, 1870, 82, 3320, 3595, - 2381, 3244, 3449, 2061, 3748, 3924, 699, 3238, 3349, 378, 2102, 3124, 1132, 1864, 3188, 2475, 3299, 3620, 2765, 2918, 3333, 980, 3090, 3879, 221, 327, 3669, 92, 646, 2595, - 2525, 3154, 3914, 2422, 2493, 4009, 1474, 2560, 2943, 1852, 3653, 3902, 1843, 2515, 3864, 1479, 2905, 3979, 2058, 2339, 3958, 869, 2378, 3237, 103, 854, 3596, 230, 1890, 2353, - 2133, 2789, 3639, 982, 1886, 2998, 2947, 3699, 3881, 2172, 2619, 2920, 852, 1496, 2405, 1847, 2336, 3926, 973, 1913, 2330, 845, 2772, 3607, 1014, 2966, 3886, 2129, 2762, 2927, - 2163, 2604, 3400, 2950, 3708, 3751, 1147, 2496, 3160, 2482, 3296, 4016, 678, 3259, 3426, 359, 2070, 3757, 1490, 2388, 4014, 1797, 2502, 3917, 251, 1813, 2347, 122, 886, 1524, - 2973, 3138, 3758, 2117, 2472, 3444, 1908, 2948, 3144, 2167, 2481, 3605, 193, 2180, 2874, 0, 2969, 3281, 833, 1349, 2528, 827, 994, 1600, 1619, 2176, 3956, 850, 1082, 2953, - 199, 812, 1629, 6, 860, 2531, 507, 1372, 2496, 768, 993, 1530, 650, 1930, 3894, 2058, 2250, 3557, 1367, 2277, 3540, 687, 1005, 3862, 486, 1351, 1986, 961, 1511, 3101, - 3183, 3775, 3964, 1035, 1240, 3044, 19, 2552, 2608, 210, 824, 1571, 684, 3146, 3921, 1060, 3019, 3533, 678, 1017, 1659, 890, 1399, 3574, 1262, 2540, 2601, 803, 1592, 3755, - 1018, 3076, 3853, 1346, 1992, 2260, 29, 839, 2997, 220, 1606, 2205, 477, 1234, 3029, 1500, 3174, 3773, 2226, 2855, 3104, 1996, 2963, 3324, 467, 2007, 3315, 1490, 2862, 3072, - 2085, 3020, 3530, 677, 1957, 3173, 231, 1551, 1942, 38, 2086, 2587, 1589, 3605, 3877, 2262, 2571, 3491, 2011, 2950, 3499, 2219, 3115, 3644, 1940, 2852, 3180, 2092, 3031, 3319, - 2095, 2253, 2572, 1545, 1933, 3860, 1998, 2294, 3488, 3122, 3601, 3850, 2208, 3635, 3928, 1063, 2947, 3505, 448, 1255, 2555, 800, 1473, 3762, 699, 1638, 3934, 871, 1069, 3542, - 1479, 2827, 3195, 454, 3063, 3269, 59, 2107, 3285, 250, 1974, 2861, 1070, 1278, 3482, 3589, 3752, 3966, 1257, 2606, 3471, 1567, 3639, 3761, 257, 836, 2694, 576, 1702, 3717, - 814, 1125, 1639, 1083, 1232, 2902, 832, 1059, 1784, 813 -] -private def clayworthNeighborData_chunk1 : Array (Fin 4032) := #[ - 2685, 3713, 263, 1024, 2893, 582, 807, 1108, 1098, 1646, 2414, 1277, 2934, 4020, 1994, 3410, 3787, 567, 1937, 2314, 533, 1624, 2341, 1269, 3416, 3822, 1641, 2409, 3965, 1279, - 2507, 3976, 1737, 2094, 3274, 2673, 3093, 3895, 595, 1142, 2835, 274, 2257, 2890, 1743, 3301, 3803, 524, 2664, 3845, 1068, 1247, 3817, 548, 779, 1618, 1110, 2841, 3123, 2075, - 2261, 2917, 1241, 2542, 3454, 1662, 2324, 3967, 605, 826, 3740, 284, 861, 1056, 2380, 3089, 3861, 2059, 3277, 3986, 882, 2541, 2717, 1723, 3763, 3947, 1708, 2416, 3954, 2532, - 2692, 3970, 535, 1941, 3891, 2021, 3284, 3788, 295, 2006, 2300, 614, 1971, 2854, 2245, 3261, 3438, 2326, 2856, 3391, 3378, 3754, 3953, 875, 2554, 3225, 2004, 2710, 3318, 1674, - 1975, 3900, 1980, 2317, 2863, 1997, 2291, 3431, 2358, 3389, 3944, 2535, 3263, 3433, 864, 1759, 3253, 2674, 3371, 3745, 1101, 2379, 3132, 2060, 2900, 3992, 1080, 1763, 3824, 523, - 804, 2687, 2742, 3286, 3975, 1701, 2395, 3857, 635, 1711, 1925, 314, 2038, 2691, 2667, 3127, 3377, 1781, 2089, 3231, 2879, 3077, 3368, 2096, 2295, 3216, 1, 1905, 4026, 64, - 785, 3519, 480, 1921, 2885, 1851, 2274, 3200, 1906, 3027, 3219, 1938, 2490, 3506, 7, 1836, 3229, 70, 483, 1948, 448, 1147, 2908, 1792, 2273, 2843, 330, 1610, 2043, 2339, - 3331, 3530, 2360, 2903, 3350, 1647, 1984, 2285, 1126, 2770, 2887, 1363, 2241, 2828, 1087, 1245, 3048, 2419, 2443, 3451, 83, 504, 2199, 18, 1848, 2123, 1220, 1644, 3055, 2313, - 2468, 3436, 1638, 2297, 3259, 1978, 2335, 2935, 492, 2188, 2369, 1067, 1827, 2148, 1382, 2016, 2298, 2791, 2882, 3341, 93, 1927, 3517, 28, 1899, 3206, 1117, 2373, 3430, 1085, - 1222, 2857, 1407, 1896, 4007, 828, 2814, 3496, 819, 1107, 2776, 1369, 2827, 4014, 2319, 3429, 3557, 357, 1270, 1637, 39, 342, 2124, 102, 2178, 3558, 1567, 2040, 2167, 2190, - 3343, 3689, 2793, 3505, 3708, 1384, 1597, 1919, 340, 1238, 4004, 823, 3402, 3564, 2184, 3337, 3567, 333, 2028, 2135, 2798, 3354, 3710, 1391, 1552, 2019, 1599, 1917, 3033, 2471, - 3499, 3699, 507, 1088, 2396, 1074, 1824, 2864, 1659, 3046, 3238, 1959, 2357, 2477, 1219, 2862, 3979, 773, 1094, 3439, 123, 789, 3579, 58, 374, 4013, 2410, 2478, 3690, 1064, - 1561, 3071, 2203, 2401, 3696, 1073, 1589, 2133, 329, 577, 3652, 128, 2921, 3328, 1985, 2404, 2462, 1580, 1915, 2338, 1583, 3648, 3859, 697, 2002, 3332, 583, 1595, 1900, 134, - 2012, 2413, 1211, 2379, 2484, 1856, 2337, 2704, 429, 1040 -] -private def clayworthNeighborData_chunk2 : Array (Fin 4032) := #[ - 3949, 535, 3515, 3628, 2492, 3500, 3640, 1055, 2349, 3940, 1190, 2456, 3025, 1649, 2305, 2708, 2625, 3125, 3840, 641, 1417, 2568, 147, 855, 2426, 594, 1912, 3171, 1061, 3081, - 3869, 698, 2612, 3503, 1080, 1573, 2361, 2042, 2449, 3493, 844, 1427, 2407, 1891, 2681, 3192, 1626, 2362, 3915, 2494, 3038, 3615, 157, 1991, 3357, 604, 1574, 3677, 1181, 1461, - 2574, 2682, 2738, 3103, 373, 1632, 3698, 2942, 3070, 3360, 1171, 2940, 3068, 345, 1643, 2742, 567, 2590, 3494, 441, 1044, 3087, 385, 615, 3151, 166, 519, 834, 2295, 3189, - 3943, 846, 3576, 3604, 3032, 3371, 3573, 1635, 2242, 3691, 326, 418, 3107, 517, 2617, 2922, 514, 840, 3621, 442, 3145, 3962, 3060, 3551, 3600, 1615, 2263, 3950, 2247, 3680, - 3878, 674, 3378, 3529, 1152, 1433, 2414, 1888, 2669, 2749, 1068, 1546, 3846, 685, 2023, 3466, 339, 2692, 3128, 1158, 2594, 2931, 187, 540, 2928, 323, 417, 634, 673, 1411, - 3535, 2268, 2657, 3899, 859, 1414, 3555, 2245, 2658, 3167, 641, 900, 1338, 2, 2432, 3704, 1703, 2049, 2929, 315, 1605, 2402, 896, 1602, 2804, 442, 2066, 2436, 300, 647, - 1628, 28, 2076, 2923, 1275, 1710, 2920, 256, 2401, 3130, 202, 1931, 3999, 842, 2719, 3531, 1688, 2741, 3566, 239, 2413, 3984, 1254, 1705, 3458, 1501, 2369, 3111, 2165, 2812, - 3615, 395, 472, 1444, 5, 1136, 2930, 312, 611, 658, 236, 2121, 2769, 420, 1419, 3565, 230, 1655, 2425, 1682, 2106, 3559, 494, 1129, 2941, 291, 632, 3647, 1476, 2426, - 4029, 1726, 2713, 3464, 7, 2055, 2461, 668, 925, 1607, 466, 1245, 1429, 2143, 3100, 3637, 946, 1319, 1504, 2464, 3468, 3683, 1235, 3479, 3680, 1326, 1472, 3090, 869, 1420, - 3556, 229, 1956, 2127, 591, 679, 1959, 55, 870, 1115, 629, 3758, 3993, 1099, 2019, 2749, 2027, 2475, 3483, 939, 1515, 3760, 1316, 1965, 2147, 876, 1431, 3707, 879, 1100, - 2704, 585, 1966, 4021, 2016, 2751, 3470, 1522, 3753, 4031, 928, 2776, 3739, 423, 2033, 2482, 487, 1216, 2943, 288, 3073, 3609, 251, 1623, 2782, 429, 2087, 3578, 1291, 2168, - 3079, 1222, 1463, 3648, 23, 891, 3692, 698, 1325, 1978, 430, 510, 2010, 2814, 3600, 3724, 489, 1134, 1999, 607, 3645, 3723, 518, 705, 1924, 294, 1029, 1408, 1838, 2533, - 3239, 2408, 2491, 3097, 604, 1920, 2467, 1025, 1837, 3837, 711, 2432, 3135, 1414, 1831, 2516, 2506, 3157, 3246, 1493, 2417, 3125, 1163, 2813, 3950, 337, 1335, 2111, 1301, 2109, - 3224, 1198, 2429, 3945, 3049, 3191, 3241, 459, 1508, 2411 -] -private def clayworthNeighborData_chunk3 : Array (Fin 4032) := #[ - 599, 778, 3566, 1389, 2042, 3825, 1427, 2550, 3987, 722, 3133, 3339, 631, 805, 1179, 1292, 2023, 3816, 1193, 2431, 2476, 1316, 1803, 3218, 1390, 2518, 3993, 3088, 3340, 3547, - 494, 2418, 3952, 2098, 3070, 3262, 1052, 1437, 1850, 732, 1949, 2464, 1380, 2029, 3147, 781, 1495, 3531, 493, 541, 1970, 315, 1075, 3050, 300, 3056, 3159, 484, 516, 1483, - 341, 1303, 2030, 788, 1164, 2768, 743, 2777, 3374, 371, 1446, 4006, 701, 3376, 3916, 1003, 2097, 4008, 960, 1066, 3059, 506, 665, 1963, 534, 822, 2783, 266, 375, 1995, - 380, 2088, 4015, 2815, 3369, 3915, 992, 2091, 3068, 487, 703, 3931, 583, 693, 1952, 989, 1057, 3826, 1355, 2509, 3172, 1527, 3103, 3532, 581, 1200, 2488, 1291, 1828, 3839, - 566, 790, 1484, 293, 2020, 3148, 303, 325, 1467, 515, 762, 2805, 964, 1402, 3819, 578, 671, 3561, 1010, 1383, 4031, 656, 3355, 3568, 116, 200, 1988, 1472, 1793, 2661, - 1091, 1547, 1902, 696, 1420, 2498, 660, 1299, 1984, 1901, 2206, 2640, 121, 671, 2503, 1094, 1478, 1895, 1097, 1548, 3281, 1431, 2504, 4013, 904, 1791, 3048, 399, 1399, 1961, - 1365, 1577, 1966, 948, 1422, 1753, 1563, 3294, 3841, 1410, 2393, 4025, 515, 1289, 2895, 1623, 2190, 3948, 350, 1107, 1491, 98, 2514, 3636, 903, 1333, 2906, 1356, 2184, 3960, - 684, 920, 1435, 1380, 1582, 1867, 337, 1113, 1614, 538, 2520, 3614, 1416, 1747, 2431, 1584, 1959, 3898, 1501, 1914, 2644, 94, 656, 2013, 1602, 3300, 3963, 534, 2915, 3969, - 194, 2034, 2406, 1850, 2668, 3874, 1837, 3321, 3873, 199, 2387, 4002, 419, 1367, 3939, 898, 2929, 3057, 78, 3069, 3608, 372, 433, 1510, 1775, 3644, 3783, 382, 1267, 1944, - 1278, 2680, 3897, 2027, 2415, 3800, 216, 2923, 3051, 416, 1826, 3936, 344, 410, 1982, 1768, 3071, 3646, 1276, 1938, 3885, 1766, 2408, 3794, 1286, 2016, 3828, 1257, 2233, 2655, - 1141, 1608, 3285, 525, 2548, 4026, 677, 914, 1305, 1355, 1892, 2228, 210, 2912, 4001, 1849, 3309, 3904, 427, 1531, 1825, 72, 244, 3058, 1264, 1612, 2210, 521, 1283, 3784, - 380, 1258, 1627, 527, 3601, 3778, 769, 2052, 2271, 1348, 1536, 3602, 302, 1622, 2597, 443, 464, 2557, 419, 760, 2048, 301, 2631, 3630, 384, 775, 2546, 295, 1542, 2580, - 1006, 1613, 2570, 509, 2512, 3861, 1874, 3466, 3825, 183, 1976, 3235, 149, 1609, 3215, 501, 1880, 3802, 1001, 1626, 2813, 511, 2910, 3857, 713, 878, 3659, 1493, 2682, 3998, - 1299, 1555, 2614, 786, 2500, 2706, 719, 3684, 3823, 140 -] -private def clayworthNeighborData_chunk4 : Array (Fin 4032) := #[ - 2663, 4025, 428, 479, 3789, 164, 267, 1603, 1305, 1523, 2582, 859, 2550, 2712, 473, 1918, 2932, 1615, 2815, 3209, 314, 1565, 3623, 416, 796, 2077, 972, 1489, 4020, 843, - 3694, 3885, 2098, 2293, 2940, 1394, 2795, 3608, 1008, 1387, 2802, 2249, 2897, 3870, 151, 1964, 4002, 3493, 3693, 3816, 807, 2727, 3478, 1318, 1574, 1952, 1902, 2310, 2729, 1320, - 1855, 3231, 1842, 2801, 3646, 2091, 2308, 2942, 2275, 3476, 3706, 1344, 1979, 3982, 1327, 1955, 3256, 1895, 2734, 3469, 1853, 2792, 3253, 1897, 2333, 2904, 735, 2080, 2358, 1835, - 2652, 3625, 971, 1532, 2573, 844, 2516, 3876, 440, 739, 3786, 139, 292, 2642, 2255, 3687, 3897, 987, 1376, 3976, 1373, 1595, 1920, 826, 2296, 3510, 1527, 1841, 2625, 757, - 873, 2326, 1343, 1477, 1832, 880, 2307, 2750, 129, 2844, 3973, 256, 1873, 3526, 445, 1184, 2511, 1724, 3611, 3818, 2598, 2849, 3838, 438, 2101, 3545, 135, 1726, 3827, 262, - 434, 1187, 1101, 1152, 2522, 367, 1681, 3632, 822, 1558, 3021, 1218, 1941, 3494, 1224, 1956, 2499, 1549, 3030, 3618, 1114, 2509, 3407, 358, 2451, 3626, 689, 1425, 2623, 1776, - 2109, 3278, 275, 1208, 3671, 146, 1688, 3204, 1429, 1556, 2585, 1755, 1950, 2064, 1546, 3598, 3824, 400, 1965, 2505, 1196, 3306, 3660, 701, 1716, 3250, 2438, 3011, 3617, 1230, - 2518, 3418, 285, 388, 3539, 156, 2817, 3836, 1135, 1769, 3291, 383, 680, 1438, 2491, 2821, 3996, 1916, 3424, 3523, 1137, 1907, 3427, 339, 2470, 3975, 1740, 1937, 3515, 790, - 1444, 1590, 167, 797, 3254, 294, 3462, 3650, 3023, 3167, 3216, 1228, 3662, 3726, 3435, 3529, 3745, 2432, 2867, 3197, 771, 1453, 3991, 1739, 1911, 3456, 1239, 3475, 3656, 772, - 3034, 3220, 1243, 3441, 3746, 2461, 3017, 3152, 2607, 2858, 3199, 2073, 3573, 3754, 1098, 1211, 3312, 360, 703, 1694, 1573, 2579, 3817, 404, 1977, 2079, 345, 1465, 3970, 1128, - 1774, 1861, 315, 1877, 3485, 186, 774, 4023, 2111, 3298, 3760, 683, 2600, 3161, 3297, 3675, 3739, 690, 3189, 3261, 3, 3441, 3841, 273, 320, 2047, 1248, 1924, 2526, 2344, - 2711, 3387, 1427, 2354, 3442, 1923, 2034, 3006, 29, 2367, 3372, 326, 1251, 1949, 1216, 2548, 2619, 1307, 2700, 3328, 74, 1611, 3515, 1795, 3210, 3556, 1814, 2556, 3213, 1612, - 2696, 3456, 2520, 2598, 3922, 1292, 1713, 2715, 447, 477, 1448, 1011, 1915, 2986, 339, 919, 1272, 4, 3141, 3384, 452, 1455, 1621, 1900, 2992, 3220, 1623, 2353, 2690, 1974, - 2513, 3222, 908, 961, 1260, 427, 3164, 3363, 1690, 2702 -] -private def clayworthNeighborData_chunk5 : Array (Fin 4032) := #[ - 3488, 1805, 2558, 3943, 349, 1926, 2045, 6, 2365, 3435, 965, 1894, 2589, 445, 454, 1321, 1696, 3432, 3898, 316, 2024, 3966, 307, 2579, 3928, 1291, 1707, 3879, 1893, 3237, - 3531, 101, 502, 1636, 54, 86, 3191, 358, 898, 3575, 607, 3138, 3512, 910, 1807, 3290, 2033, 3299, 3945, 637, 1699, 3455, 84, 470, 3847, 311, 1866, 3532, 904, 1801, - 3541, 77, 3159, 3500, 1818, 3279, 3950, 592, 1679, 3491, 639, 1433, 3453, 2027, 3004, 3296, 988, 1275, 2560, 434, 1328, 3360, 1446, 1655, 2347, 1942, 2985, 3254, 451, 1326, - 3858, 261, 1903, 2566, 277, 379, 3543, 22, 118, 3868, 1002, 2995, 3307, 424, 601, 1471, 923, 993, 3313, 433, 629, 3143, 841, 1409, 2962, 384, 979, 3114, 2775, 3181, - 3742, 2084, 2157, 2563, 1987, 2145, 3002, 1019, 1657, 2780, 1415, 2170, 2582, 390, 2754, 3193, 2683, 3172, 3764, 528, 2093, 2569, 941, 2448, 3052, 1303, 1581, 3666, 1572, 3687, - 3772, 2065, 2463, 3045, 2662, 3411, 3736, 532, 2105, 3249, 1398, 2009, 3777, 1601, 1752, 2194, 403, 1943, 3166, 1242, 1426, 2573, 1348, 2003, 2469, 1658, 2215, 3676, 2069, 2169, - 2488, 2807, 3706, 3729, 1745, 1932, 3153, 1229, 2586, 3833, 2078, 3028, 3226, 1557, 3398, 3774, 413, 998, 2759, 1436, 2113, 2983, 1790, 2183, 2653, 562, 1364, 3834, 885, 2951, - 3232, 966, 3105, 3445, 2643, 3106, 3417, 566, 857, 3243, 1335, 2234, 3655, 953, 1394, 2452, 897, 1265, 1447, 422, 1287, 1922, 1263, 3039, 3355, 1566, 1934, 2304, 989, 2342, - 3401, 2972, 3235, 3362, 838, 930, 1405, 1285, 2177, 3099, 1282, 1593, 1928, 954, 1256, 3064, 1553, 2363, 3395, 3024, 3215, 3342, 1993, 2945, 3361, 960, 1634, 2323, 1788, 2624, - 3157, 573, 2575, 3821, 1990, 2146, 2476, 1645, 2757, 3649, 516, 851, 1360, 2204, 2630, 3086, 443, 1308, 3120, 835, 929, 1466, 1633, 1780, 2310, 2037, 3370, 3809, 1758, 1947, - 2333, 1226, 3376, 3810, 73, 1537, 3265, 512, 1792, 2497, 996, 2955, 3457, 620, 3211, 3451, 623, 3269, 3978, 249, 1796, 3474, 635, 1543, 3436, 518, 1005, 3484, 971, 1176, - 2980, 2253, 3246, 3392, 400, 1069, 2797, 151, 2043, 3731, 2028, 2967, 3737, 415, 2788, 3227, 1170, 1425, 2965, 1648, 2266, 3241, 1525, 2667, 4027, 193, 1096, 3017, 531, 1018, - 2071, 1554, 2112, 3448, 421, 1481, 4012, 250, 1140, 2031, 440, 613, 3212, 2021, 2956, 3514, 999, 2060, 3027, 2144, 2639, 3427, 1641, 2763, 3248, 1438, 2999, 3775, 541, 1821, - 3463, 614, 1564, 3292, 1102, 1193, 3061, 1503, 2243, 2673 -] -private def clayworthNeighborData_chunk6 : Array (Fin 4032) := #[ - 117, 1651, 3297, 1470, 1824, 2554, 1191, 1468, 2541, 89, 1642, 2255, 183, 1118, 2022, 404, 1081, 1487, 1025, 1575, 2141, 135, 550, 2050, 2162, 2750, 2791, 2062, 3547, 3759, - 1432, 1835, 3562, 1660, 2739, 3306, 70, 1058, 1507, 133, 1145, 2530, 130, 2056, 3750, 1082, 2116, 2810, 1460, 3568, 3752, 1662, 2748, 2798, 2730, 3315, 4015, 226, 1842, 3553, - 1006, 1214, 3033, 2262, 2650, 3424, 428, 586, 4005, 237, 1994, 3495, 83, 1528, 2249, 1122, 1198, 2553, 156, 571, 2529, 67, 1057, 1594, 225, 3011, 3554, 2656, 2736, 4006, - 2075, 3014, 3534, 2155, 2659, 2729, 132, 1601, 2746, 66, 2978, 3712, 295, 3121, 3521, 763, 3150, 3205, 128, 3202, 3892, 954, 3538, 3716, 748, 1607, 3228, 92, 3098, 3548, - 302, 2374, 3115, 704, 1396, 3144, 10, 331, 1488, 543, 1930, 2318, 280, 565, 2331, 47, 1533, 3193, 297, 2397, 3663, 1352, 2856, 3188, 1557, 3637, 3900, 907, 1112, 1741, - 69, 2544, 3087, 760, 1443, 1618, 44, 3593, 3857, 932, 1750, 2337, 38, 3170, 3255, 274, 2352, 3578, 1134, 2537, 3107, 739, 1464, 1587, 1522, 2879, 3166, 318, 537, 3674, - 71, 3527, 3741, 157, 1628, 3207, 1106, 1754, 2390, 1362, 1591, 3615, 178, 2727, 2859, 2977, 3680, 3744, 2372, 2945, 3683, 1346, 2734, 2865, 1731, 1957, 2338, 37, 356, 3599, - 359, 1423, 1639, 119, 1958, 2523, 1070, 1461, 1526, 573, 2507, 2762, 2778, 3691, 3755, 171, 1072, 2866, 365, 2724, 3619, 1737, 1964, 2989, 528, 1967, 2508, 366, 1417, 1492, - 575, 2765, 3697, 1065, 1476, 2877, 160, 1051, 3864, 935, 2801, 3762, 1127, 2371, 3104, 736, 1368, 1541, 59, 3223, 3870, 941, 2346, 3559, 1351, 2699, 3640, 1743, 2422, 3002, - 87, 1979, 3001, 378, 1658, 2733, 942, 1150, 2792, 1036, 1553, 3902, 1129, 2542, 2799, 1035, 1439, 1596, 324, 1286, 1665, 742, 1773, 2437, 485, 679, 3310, 1366, 3190, 3771, - 320, 1436, 3747, 1213, 2433, 3309, 1357, 1671, 3712, 468, 1758, 3303, 458, 686, 1237, 1398, 2868, 3158, 2635, 3024, 3901, 849, 2743, 3583, 664, 2709, 3581, 2670, 3069, 3165, - 681, 1233, 3423, 1099, 2824, 3139, 1431, 1802, 2331, 1201, 2807, 2925, 502, 1494, 1745, 977, 1354, 1682, 1463, 1829, 2651, 1192, 2700, 2757, 2665, 3140, 3756, 658, 2724, 3275, - 470, 1526, 2926, 981, 1381, 2306, 1134, 3058, 3142, 702, 3445, 3570, 1785, 2460, 3322, 349, 1692, 3744, 1221, 2773, 2916, 1805, 2318, 2834, 370, 1133, 1309, 763, 2483, 3453, - 748, 1276, 3408, 1124, 1284, 2818, 853, 2711, 2803, 1812 -] -private def clayworthNeighborData_chunk7 : Array (Fin 4032) := #[ - 2636, 3856, 1020, 1703, 3865, 883, 1475, 1749, 965, 1661, 3062, 1501, 2283, 3569, 2240, 2474, 3455, 363, 1146, 1625, 1302, 1846, 3871, 714, 887, 2812, 892, 1478, 3560, 1011, - 3028, 3903, 2272, 3417, 3563, 1127, 1663, 3012, 352, 1415, 1653, 1202, 2269, 2465, 461, 1271, 2891, 1364, 2312, 2840, 1413, 2672, 3768, 1215, 2699, 3300, 1334, 1814, 2823, 741, - 1267, 2769, 751, 837, 1764, 1283, 1722, 3893, 1195, 2244, 2938, 1410, 1631, 2316, 1476, 2290, 2919, 1015, 1616, 2327, 426, 755, 1350, 79, 664, 2944, 1707, 2386, 3816, 1625, - 2100, 3295, 444, 1500, 2082, 670, 936, 1727, 737, 1653, 2056, 1714, 2375, 2950, 2392, 3099, 3823, 1619, 2723, 3320, 11, 3393, 3877, 564, 776, 2807, 542, 2773, 3801, 46, - 3273, 3884, 2622, 3084, 3814, 1163, 2744, 3299, 1495, 1866, 3474, 915, 2455, 3020, 2370, 2963, 3968, 705, 1251, 1609, 27, 1527, 1893, 921, 2764, 3019, 41, 2078, 3317, 1713, - 2788, 3839, 2376, 2460, 4027, 1231, 1603, 3497, 1198, 3279, 3896, 569, 2601, 3795, 692, 1725, 2973, 435, 746, 2062, 2487, 3035, 3080, 1869, 2688, 3495, 432, 1197, 1373, 73, - 702, 2611, 67, 2620, 3095, 1188, 1348, 2732, 770, 2775, 3054, 12, 1876, 3450, 732, 1248, 3426, 792, 2982, 3997, 1027, 1265, 3856, 526, 2347, 3987, 700, 2304, 2602, 425, - 1039, 1210, 1366, 1910, 3437, 77, 775, 3049, 520, 820, 3974, 1259, 3425, 3860, 546, 2336, 2608, 1033, 1191, 3871, 446, 1050, 1479, 657, 943, 2333, 2420, 2437, 3086, 1606, - 2720, 3502, 48, 1477, 2105, 959, 1704, 2763, 1398, 1878, 2747, 86, 3056, 3074, 90, 786, 3003, 709, 1347, 3449, 934, 2308, 2434, 1037, 1474, 3480, 2354, 2439, 4006, 1046, - 1242, 3518, 134, 1729, 1921, 389, 806, 3008, 2346, 2896, 3374, 1000, 1497, 3007, 1564, 1925, 2982, 385, 3373, 3831, 1535, 1735, 2969, 2900, 3014, 3367, 2139, 2337, 2911, 1009, - 1525, 3093, 1155, 2798, 3965, 81, 895, 2871, 893, 2309, 2837, 1021, 1158, 2793, 1449, 2124, 2305, 1003, 1227, 3108, 266, 1559, 3540, 1687, 3514, 3787, 2917, 3027, 3884, 1533, - 1746, 1803, 293, 1206, 1591, 2828, 3495, 3788, 1023, 1181, 2984, 2355, 2852, 3339, 1678, 2924, 3877, 1488, 1804, 3576, 1010, 1262, 2800, 882, 1470, 2332, 412, 3037, 3386, 1756, - 1948, 2963, 1666, 2120, 3501, 269, 3095, 3557, 157, 1261, 1953, 435, 827, 1450, 812, 1456, 2135, 132, 1252, 3083, 85, 2839, 3502, 276, 1174, 3920, 1767, 1838, 3929, 115, - 3046, 3899, 253, 1840, 2764, 881, 2411, 3887, 426, 1459 -] -private def clayworthNeighborData_chunk8 : Array (Fin 4032) := #[ - 2368, 217, 1274, 1962, 150, 310, 3935, 119, 778, 3467, 124, 872, 3878, 1833, 2763, 3967, 875, 1468, 2400, 255, 1255, 2779, 245, 1543, 1971, 417, 2397, 3797, 1672, 2126, - 2936, 1503, 3127, 3564, 1156, 1541, 2991, 2827, 3364, 3799, 182, 278, 3084, 805, 2114, 3492, 69, 815, 3067, 131, 1786, 3957, 1676, 2372, 3812, 223, 1538, 3536, 1691, 2418, - 3850, 208, 1819, 3551, 8, 244, 2761, 2865, 3265, 3813, 2147, 2499, 2588, 450, 1656, 1731, 1620, 2707, 2774, 1892, 2583, 3792, 249, 455, 1631, 2502, 2567, 2863, 785, 2127, - 2505, 456, 1524, 1737, 136, 628, 3422, 361, 911, 2935, 366, 2155, 2901, 180, 584, 1747, 798, 2008, 2138, 1502, 1781, 3186, 1283, 2697, 3119, 1886, 3053, 3223, 862, 2515, - 2826, 226, 466, 1590, 135, 2741, 3112, 1913, 2892, 3066, 152, 1644, 1734, 2144, 2565, 2916, 849, 2521, 3214, 472, 1306, 1556, 590, 1753, 3140, 359, 2036, 2161, 2562, 2856, - 3796, 222, 1616, 2755, 804, 3065, 3202, 1302, 1486, 3082, 2, 2767, 3152, 2044, 3322, 3820, 825, 2046, 3309, 7, 1529, 3197, 931, 2903, 3009, 130, 3121, 3409, 206, 1540, - 3416, 884, 945, 2829, 633, 1159, 1597, 344, 894, 2395, 2001, 2410, 3832, 1176, 2778, 3156, 24, 3098, 3452, 928, 3041, 3298, 382, 856, 922, 606, 1586, 3444, 338, 2014, - 2416, 610, 1170, 3190, 1204, 2694, 2765, 1877, 2401, 3807, 789, 2549, 3208, 500, 1293, 1480, 146, 1637, 2713, 1901, 2615, 2891, 18, 1506, 3085, 813, 3042, 3321, 939, 2842, - 3297, 52, 200, 3454, 1873, 2402, 3212, 1160, 1289, 2691, 892, 2382, 3227, 1154, 1295, 1552, 308, 584, 3012, 1680, 2231, 2748, 1151, 2870, 3147, 1034, 2383, 2956, 1078, 2771, - 3030, 2193, 2826, 3678, 313, 1037, 2394, 1128, 2693, 2836, 1149, 2921, 3148, 2403, 2967, 4023, 1334, 2120, 2623, 394, 975, 2449, 421, 2453, 3177, 1302, 2164, 2958, 2926, 3163, - 3957, 2946, 3289, 3989, 1347, 2501, 2761, 1543, 3662, 3863, 782, 1137, 2743, 290, 2267, 2417, 2119, 2524, 2805, 2483, 3656, 3842, 1061, 2136, 2971, 2487, 2838, 3182, 776, 1131, - 1588, 1370, 2252, 2411, 1293, 2952, 3317, 404, 3184, 3929, 2197, 2739, 2853, 286, 1046, 3062, 1554, 2907, 3852, 1366, 2547, 4019, 578, 3037, 3325, 1725, 2181, 3907, 1727, 2891, - 3913, 583, 3327, 3985, 995, 2492, 3848, 2114, 2497, 2621, 270, 2254, 2609, 802, 1009, 2709, 917, 1317, 2242, 406, 798, 1462, 1411, 2227, 3910, 956, 3014, 3280, 600, 2529, - 2610, 992, 1717, 3854, 397, 825, 986, 1300, 2248, 2600 -] -private def clayworthNeighborData_chunk9 : Array (Fin 4032) := #[ - 438, 1430, 3923, 913, 1290, 3295, 947, 2758, 3011, 1414, 2236, 3705, 1138, 1560, 2928, 1357, 2400, 3973, 1044, 2130, 2777, 2437, 2829, 3700, 594, 2538, 4028, 1689, 2892, 3867, - 1003, 1695, 2705, 264, 628, 2603, 1437, 1538, 3682, 901, 1353, 2755, 820, 1412, 1544, 951, 1359, 2263, 372, 648, 3460, 2636, 3072, 3329, 587, 2563, 3438, 248, 2938, 3020, - 212, 2835, 3456, 926, 2626, 3437, 223, 377, 2919, 2566, 3078, 3431, 588, 2569, 3704, 2881, 3031, 3868, 767, 1448, 2184, 1039, 1682, 1946, 617, 1671, 1933, 729, 2228, 3022, - 603, 3679, 4026, 985, 3010, 3845, 131, 2545, 2825, 910, 1638, 2796, 94, 2579, 3091, 354, 2898, 3772, 2183, 2539, 2869, 904, 1716, 2808, 236, 2200, 3035, 622, 1666, 3403, - 81, 1663, 2585, 154, 2887, 3774, 723, 1023, 3016, 624, 1942, 4007, 2647, 3101, 3450, 208, 350, 3485, 1619, 2811, 3685, 150, 2522, 3873, 642, 998, 3506, 2651, 3386, 3996, - 3373, 3664, 3969, 647, 979, 3891, 1059, 1688, 2787, 1457, 2178, 2528, 334, 1469, 3763, 116, 1073, 3110, 751, 3760, 3829, 126, 499, 1929, 510, 2638, 3975, 1007, 3499, 3779, - 664, 1451, 2531, 1056, 2784, 3362, 88, 1050, 1935, 744, 1471, 3754, 508, 1923, 3986, 742, 1000, 3785, 2822, 3488, 3782, 489, 953, 2632, 1625, 2613, 3692, 141, 2908, 3841, - 229, 2194, 2841, 948, 1672, 3428, 658, 2511, 3882, 2752, 3385, 3668, 1067, 3131, 3361, 328, 692, 1458, 496, 930, 1647, 137, 2819, 3795, 124, 490, 1640, 143, 3753, 3801, - 1793, 3365, 3524, 1565, 2151, 2884, 750, 2211, 3222, 509, 955, 1104, 931, 1720, 3520, 749, 1568, 3783, 498, 896, 1799, 743, 2119, 2232, 2191, 2286, 3213, 464, 1149, 2029, - 1201, 2578, 3649, 376, 439, 675, 405, 655, 3209, 1141, 1178, 2599, 2281, 3226, 3901, 1151, 2020, 3117, 1673, 1966, 2960, 1489, 2868, 3834, 2140, 2207, 2707, 452, 530, 1810, - 1199, 1679, 2975, 396, 1502, 3815, 940, 1119, 1165, 420, 715, 3203, 2229, 2713, 2876, 502, 536, 1947, 1113, 2618, 3130, 649, 3215, 3903, 762, 1536, 2130, 928, 1820, 3549, - 1493, 2252, 2846, 1931, 2014, 2964, 3106, 3372, 3570, 1540, 2930, 3883, 2288, 2923, 3890, 2005, 3129, 3384, 364, 407, 1529, 1192, 3000, 3706, 551, 1831, 3682, 352, 2113, 2726, - 553, 2063, 2588, 671, 2728, 3327, 1586, 3314, 3889, 2080, 3105, 3563, 2988, 3344, 3693, 379, 1517, 2880, 355, 696, 2735, 558, 2567, 3681, 693, 3325, 3880, 2083, 2561, 3073, - 1695, 2091, 3552, 1579, 3307, 3804, 2185, 2251, 2833, 468 -] -private def clayworthNeighborData_chunk10 : Array (Fin 4032) := #[ - 1932, 2041, 952, 1162, 1699, 395, 740, 3794, 2001, 2981, 3359, 1508, 2267, 2912, 320, 2170, 2909, 1850, 3348, 3705, 2840, 3313, 3777, 1717, 1961, 2097, 2751, 2878, 3304, 574, - 1968, 2074, 557, 1857, 3593, 2274, 2463, 3136, 91, 867, 1542, 1019, 1168, 2373, 513, 724, 995, 66, 2214, 2270, 960, 1863, 2423, 78, 888, 3142, 847, 1539, 2350, 1213, - 2396, 3963, 915, 2832, 3533, 436, 503, 3810, 469, 1561, 3833, 902, 1205, 2877, 1545, 2345, 3393, 1215, 2512, 3904, 760, 2030, 3714, 2205, 2723, 4004, 863, 2771, 3155, 207, - 1874, 2391, 735, 949, 3719, 460, 2182, 3989, 899, 1004, 1183, 76, 484, 1555, 885, 2737, 2777, 227, 2011, 2370, 1177, 2516, 2866, 1589, 3425, 3806, 72, 2297, 3165, 570, - 992, 1884, 2316, 2703, 4013, 1995, 3720, 3923, 569, 2552, 3587, 2254, 2488, 3397, 2352, 2467, 3420, 2527, 3606, 3933, 414, 471, 3985, 921, 3530, 3730, 218, 1895, 3569, 446, - 2790, 3174, 235, 1928, 2870, 1665, 2792, 3784, 1709, 2248, 3443, 546, 1927, 2540, 3567, 3610, 3736, 401, 2441, 3998, 408, 2799, 3790, 241, 2836, 3546, 1722, 3434, 3828, 1922, - 2533, 2820, 545, 741, 1938, 1721, 2235, 2292, 841, 2315, 2714, 1996, 2375, 3942, 720, 905, 1016, 87, 459, 2195, 3597, 3764, 3910, 2331, 2447, 4025, 444, 2485, 3195, 1914, - 3560, 3599, 1698, 2176, 2720, 748, 1944, 2025, 1697, 2731, 2815, 224, 1972, 2032, 385, 1520, 3996, 704, 2367, 2596, 463, 957, 2656, 316, 1194, 1562, 1214, 2225, 4001, 950, - 2351, 3573, 318, 391, 1203, 710, 946, 2659, 474, 2509, 2624, 273, 879, 1585, 1846, 2120, 3428, 341, 2389, 3655, 356, 451, 2385, 1546, 2126, 3403, 461, 2522, 3957, 870, - 1576, 3731, 1649, 1777, 2186, 592, 782, 3581, 723, 2680, 3007, 280, 402, 644, 1754, 2142, 2223, 350, 596, 3536, 1200, 1549, 2146, 365, 457, 912, 810, 2668, 3005, 308, - 690, 1661, 1583, 3404, 3718, 470, 2398, 3913, 733, 900, 2344, 412, 1212, 3969, 607, 795, 2543, 895, 1640, 1768, 1499, 3771, 3973, 2329, 2605, 3960, 2545, 2617, 3935, 851, - 1484, 3750, 337, 613, 3666, 1741, 1814, 2164, 423, 694, 1821, 742, 2984, 3656, 656, 1226, 3447, 1038, 2413, 2987, 1057, 2323, 3939, 1260, 3712, 4019, 1518, 1738, 1795, 620, - 2577, 3672, 2404, 2993, 3650, 660, 1796, 3413, 1058, 2425, 3919, 1253, 3415, 3741, 1275, 2202, 4010, 1066, 2342, 3545, 816, 2506, 2683, 286, 872, 1663, 1193, 2169, 2216, 377, - 916, 3551, 857, 1483, 1775, 632, 2536, 2590, 763, 2581 -] -private def clayworthNeighborData_chunk11 : Array (Fin 4032) := #[ - 3700, 442, 1513, 1798, 802, 1072, 3583, 1254, 1643, 2189, 801, 1051, 2994, 701, 1263, 1650, 355, 449, 4016, 117, 2865, 3478, 32, 1021, 2425, 935, 1853, 2302, 346, 881, - 958, 574, 1014, 3465, 455, 942, 1842, 35, 120, 1010, 0, 1141, 2398, 788, 1808, 2264, 1910, 2591, 3158, 419, 1464, 3574, 440, 1443, 2382, 2286, 2616, 3149, 1119, 1785, - 2420, 805, 2066, 2258, 842, 1049, 2961, 542, 1297, 2925, 56, 99, 3767, 466, 1796, 3781, 879, 2965, 3156, 393, 529, 1310, 914, 2281, 3146, 415, 976, 2402, 44, 2897, - 3735, 1027, 1846, 3804, 2055, 2279, 2604, 1440, 1773, 2376, 95, 964, 3459, 335, 476, 937, 1103, 1301, 2937, 799, 1077, 2974, 352, 2100, 4010, 1761, 2859, 3469, 1144, 1762, - 2848, 812, 2072, 4001, 399, 1337, 3540, 1878, 2980, 3190, 487, 1885, 3831, 79, 3570, 3733, 2580, 3115, 3778, 1467, 2633, 3723, 1729, 2655, 3482, 363, 2056, 3112, 1859, 2989, - 3982, 1325, 2831, 3536, 1452, 3524, 3748, 1860, 2576, 3799, 1408, 1786, 2677, 2050, 2597, 3121, 369, 858, 3135, 536, 2680, 3471, 59, 1097, 2910, 784, 1033, 1812, 872, 920, - 3173, 437, 572, 980, 824, 3001, 4002, 1123, 1316, 2851, 73, 2842, 3581, 506, 1862, 3995, 564, 2659, 2916, 845, 1043, 3133, 2639, 2901, 3724, 1030, 3122, 3783, 513, 1308, - 3854, 768, 3409, 3548, 1085, 1212, 2912, 1352, 3769, 3813, 1126, 1313, 3798, 885, 1078, 3571, 519, 1346, 3796, 774, 1074, 1169, 1214, 2573, 2915, 111, 1358, 3746, 310, 598, - 1421, 450, 1964, 2022, 456, 1957, 2939, 589, 1430, 3764, 1871, 2586, 2936, 102, 2960, 3726, 241, 1151, 3025, 752, 893, 3711, 787, 1182, 3302, 530, 1367, 2329, 596, 1113, - 3029, 731, 848, 1951, 586, 3742, 3786, 1040, 1940, 2880, 1204, 3311, 3691, 253, 1356, 2323, 1411, 2975, 3720, 462, 1882, 2924, 797, 1028, 3525, 540, 1281, 3830, 745, 2607, - 3688, 127, 232, 3038, 1285, 3007, 3874, 1888, 3452, 3521, 1891, 2609, 3443, 83, 3005, 3897, 716, 1976, 2043, 278, 630, 3044, 285, 551, 2357, 806, 1990, 3283, 1423, 2155, - 2307, 460, 3327, 3626, 1899, 3553, 3625, 1331, 2152, 2969, 259, 3053, 3892, 715, 1984, 3447, 471, 2003, 3289, 260, 1434, 2313, 475, 1905, 3632, 1417, 2161, 2997, 1135, 1322, - 2175, 857, 3562, 3646, 1176, 2570, 3697, 104, 255, 1371, 613, 1107, 3789, 863, 1044, 1936, 89, 3065, 3870, 750, 2600, 3397, 827, 2013, 3413, 262, 570, 3848, 895, 3644, - 3709, 235, 1128, 2173, 3304, 3635, 3698, 242, 2162, 2310 -] -private def clayworthNeighborData_chunk12 : Array (Fin 4032) := #[ - 67, 2008, 3919, 721, 832, 2784, 324, 478, 2377, 535, 985, 2067, 1745, 2048, 3936, 323, 2767, 3480, 93, 1013, 2054, 349, 838, 2421, 500, 2219, 2371, 524, 979, 2715, - 202, 3211, 3666, 650, 2338, 3267, 508, 653, 3286, 520, 3212, 3672, 472, 2225, 3061, 305, 539, 2700, 959, 1117, 1733, 2291, 2563, 3458, 151, 851, 2393, 68, 969, 1246, - 1092, 1783, 3221, 660, 2582, 3463, 514, 2086, 3223, 374, 465, 662, 140, 2241, 2387, 939, 963, 1268, 282, 526, 3710, 510, 3039, 3277, 326, 861, 2787, 70, 2077, 3939, - 2237, 2245, 2566, 957, 1094, 2729, 288, 2036, 3930, 764, 2795, 3071, 755, 2216, 3033, 299, 1992, 2699, 677, 2318, 2614, 229, 1142, 3236, 118, 214, 1233, 130, 870, 2334, - 1278, 1439, 3694, 142, 794, 3279, 803, 2801, 3069, 291, 1469, 3953, 212, 1110, 1991, 759, 2312, 2564, 136, 2361, 3273, 205, 1276, 3687, 783, 3024, 3290, 271, 1424, 3689, - 1471, 1788, 3947, 800, 2778, 3508, 2226, 2268, 2374, 946, 966, 2736, 1749, 2107, 3255, 342, 694, 3474, 1091, 1986, 2734, 709, 2239, 2589, 725, 891, 2356, 86, 246, 2002, - 811, 2282, 3464, 936, 1433, 1779, 155, 817, 2273, 945, 1240, 1461, 1772, 1929, 3497, 896, 1385, 2259, 1054, 1239, 3863, 2201, 3556, 3629, 2771, 3467, 3617, 2299, 3257, 3868, - 1759, 2229, 3642, 902, 1228, 3842, 1076, 1271, 3835, 1296, 2195, 3565, 173, 3393, 3728, 2156, 2711, 2954, 1084, 2168, 2981, 3450, 3537, 3743, 1048, 3814, 3951, 689, 1300, 3577, - 1153, 2752, 2934, 585, 1857, 3201, 343, 915, 1227, 1744, 2185, 2424, 2781, 2884, 3749, 1884, 2982, 3258, 3541, 3641, 3768, 1041, 2988, 3895, 332, 595, 1252, 1209, 2179, 2412, - 666, 3431, 3550, 1086, 2143, 3942, 925, 2278, 3847, 1784, 3502, 3585, 629, 1889, 3805, 1210, 1330, 2900, 672, 1973, 3504, 1406, 2246, 3967, 1404, 3795, 3944, 683, 1334, 1945, - 1861, 2743, 2991, 185, 2930, 3732, 129, 1748, 2403, 322, 934, 2695, 1015, 2368, 3399, 334, 2104, 2132, 2101, 2269, 3929, 675, 962, 3483, 162, 1926, 2941, 1386, 1907, 2693, - 328, 2149, 2690, 186, 2400, 3420, 2079, 2128, 3923, 655, 983, 3410, 967, 2790, 3468, 2057, 2240, 3234, 601, 1237, 3776, 1197, 1341, 2182, 2758, 3618, 3756, 3003, 3245, 3845, - 1284, 1939, 2896, 1395, 1898, 3782, 955, 1392, 2716, 161, 1765, 1923, 579, 2063, 3233, 988, 1185, 2811, 347, 582, 2083, 965, 1186, 2427, 2057, 2465, 3009, 1024, 1514, 2387, - 2146, 3598, 3927, 868, 1091, 3137, 2446, 3193, 3459, 1616 -] -private def clayworthNeighborData_chunk13 : Array (Fin 4032) := #[ - 2427, 3932, 1110, 3015, 3169, 1030, 2145, 3906, 2126, 2672, 3618, 144, 877, 1097, 1452, 2221, 2957, 621, 2839, 3267, 612, 3286, 3636, 849, 1445, 2954, 1875, 2665, 3641, 148, - 889, 2363, 1683, 3481, 3832, 728, 914, 1604, 1043, 1958, 2154, 474, 1101, 3026, 1702, 2993, 3475, 935, 1654, 3293, 853, 2991, 3194, 3318, 3592, 3959, 721, 1967, 2160, 461, - 1114, 3776, 862, 1428, 2348, 597, 1862, 3614, 1053, 2406, 3911, 2466, 3036, 3170, 766, 903, 2675, 178, 1670, 3811, 2101, 2351, 2474, 1505, 1909, 2374, 1506, 1881, 2686, 182, - 2073, 2342, 954, 2871, 3270, 1723, 2233, 2970, 497, 2177, 3047, 1062, 1939, 2823, 495, 1439, 1819, 606, 1983, 3240, 1865, 2397, 3243, 1826, 2314, 2480, 1664, 2054, 2210, 897, - 1499, 2821, 633, 1945, 2818, 488, 1464, 2234, 593, 1859, 3249, 1424, 1806, 2341, 1825, 2459, 3465, 1661, 2368, 3250, 764, 2139, 2666, 189, 1103, 3808, 2984, 3181, 3462, 1620, - 3268, 3909, 132, 1693, 2067, 924, 1486, 2684, 1083, 1520, 2844, 2051, 2209, 3066, 756, 1650, 3261, 1834, 3509, 3820, 734, 1960, 3263, 458, 1840, 3835, 201, 769, 2150, 449, - 1280, 3264, 2276, 3514, 3673, 651, 1452, 3941, 773, 1455, 1491, 57, 3268, 3651, 1467, 2118, 3924, 1286, 2285, 3701, 2251, 2648, 3501, 686, 3337, 3948, 912, 2477, 3885, 407, - 1043, 2806, 1049, 2772, 3489, 667, 927, 3876, 1777, 2642, 3513, 681, 3248, 3381, 1481, 2860, 3819, 1, 2504, 3415, 1299, 2298, 3543, 2141, 3584, 3920, 933, 1525, 2875, 58, - 2548, 2802, 652, 952, 1445, 2768, 3457, 3667, 2279, 3406, 3532, 3616, 3791, 3935, 688, 3241, 3851, 1087, 1768, 3490, 1309, 3293, 3657, 796, 1446, 2131, 2510, 2665, 3394, 2872, - 3363, 3825, 245, 801, 3251, 506, 1778, 3296, 493, 1771, 2663, 217, 3242, 3359, 439, 2526, 2756, 916, 2489, 2816, 2112, 2433, 3613, 391, 1318, 3522, 574, 3634, 3879, 1071, - 2306, 3534, 1789, 2359, 3307, 563, 810, 3260, 198, 2466, 2848, 389, 482, 2553, 386, 1062, 3528, 2490, 3588, 3898, 1064, 1791, 2327, 572, 3262, 3886, 554, 819, 1478, 34, - 2309, 3314, 2286, 2686, 3400, 3343, 3802, 3960, 940, 1418, 1497, 45, 2813, 3654, 211, 2851, 3384, 505, 2530, 2670, 412, 481, 1339, 195, 2171, 2465, 33, 2332, 3404, 560, - 1475, 3808, 2311, 3419, 3547, 553, 3627, 3811, 265, 2935, 3137, 1344, 1681, 2378, 2340, 3358, 3537, 1516, 1776, 3786, 1519, 2931, 3971, 633, 1700, 3525, 1531, 1755, 3143, 1350, - 2349, 3580, 24, 2315, 3380, 1770, 3621, 3823, 685, 976 -] -private def clayworthNeighborData_chunk14 : Array (Fin 4032) := #[ - 3402, 471, 2629, 3021, 2652, 3034, 3388, 991, 3439, 3820, 18, 2961, 3352, 1550, 3594, 3814, 2210, 2690, 3972, 577, 1148, 2597, 522, 1363, 2362, 1742, 3154, 3234, 997, 2695, - 4022, 634, 1139, 3055, 1016, 1509, 3813, 3057, 3345, 3541, 525, 2343, 2598, 1762, 2224, 3214, 1563, 3432, 3835, 2625, 2974, 3390, 1373, 1685, 3571, 1510, 2885, 3164, 41, 1105, - 2570, 2190, 2696, 3638, 309, 1569, 2901, 1694, 2415, 3006, 39, 2406, 3004, 281, 1570, 3597, 503, 1093, 3018, 676, 980, 2706, 670, 3175, 3257, 455, 559, 1382, 224, 3252, - 3418, 561, 2666, 3497, 1721, 2968, 3516, 221, 1578, 2897, 262, 661, 2712, 453, 1143, 2412, 450, 552, 2675, 697, 3230, 3405, 2657, 2996, 3518, 192, 1584, 3441, 196, 2940, - 3974, 610, 1709, 3507, 62, 2350, 2607, 1761, 2203, 3604, 1004, 1482, 3990, 621, 3048, 3575, 275, 2740, 3606, 46, 1109, 2427, 476, 1403, 2405, 259, 657, 3194, 609, 2604, - 3498, 242, 2209, 3997, 538, 2619, 3504, 235, 2218, 3208, 388, 570, 3201, 194, 1024, 3511, 743, 1393, 2355, 645, 1264, 1723, 384, 642, 2039, 186, 1028, 2345, 668, 1708, - 3207, 220, 1387, 2364, 750, 1384, 3199, 1257, 1664, 2932, 74, 843, 2847, 330, 1311, 2059, 728, 1333, 2094, 111, 1228, 2832, 745, 2986, 3161, 1262, 2888, 4008, 1591, 1995, - 2143, 139, 612, 2520, 197, 496, 1394, 1720, 1767, 3218, 108, 1559, 2020, 164, 587, 2093, 102, 695, 1243, 722, 2087, 2346, 489, 1405, 2542, 1699, 1774, 2175, 1227, 2877, - 4031, 766, 1305, 2995, 199, 1053, 2366, 413, 647, 3228, 597, 2514, 3183, 1557, 2165, 2898, 434, 551, 4011, 1056, 2945, 3479, 2977, 3155, 3468, 558, 2882, 4017, 357, 588, - 2084, 101, 868, 1548, 871, 1746, 3239, 247, 358, 475, 1790, 2478, 2841, 459, 1341, 3850, 1067, 2972, 3866, 427, 2480, 4018, 548, 877, 1547, 364, 599, 3492, 367, 460, - 1296, 878, 1752, 2869, 1343, 2949, 3853, 2473, 2879, 4029, 416, 2007, 2459, 167, 1074, 3889, 1407, 2535, 3176, 1696, 2137, 2904, 123, 663, 2005, 173, 2106, 2352, 523, 1572, - 2887, 631, 3174, 3467, 215, 379, 3477, 557, 890, 3258, 174, 2558, 3880, 1996, 2128, 2444, 494, 2537, 3887, 1769, 2173, 2443, 205, 452, 1581, 258, 2641, 3351, 78, 1656, - 3461, 708, 3100, 3780, 448, 3792, 3908, 2170, 2660, 3458, 758, 1575, 3826, 284, 1644, 3511, 91, 1635, 3304, 754, 2478, 3077, 138, 823, 2702, 429, 1375, 1936, 97, 1397, - 1981, 175, 2715, 3105, 112, 3313, 3722, 382, 2473, 3123 -] -private def clayworthNeighborData_chunk15 : Array (Fin 4032) := #[ - 2266, 3157, 3936, 1130, 1336, 2123, 261, 1659, 2384, 724, 1582, 2979, 172, 2289, 3904, 1315, 1974, 2148, 166, 3073, 3830, 98, 1970, 3484, 1102, 1600, 2429, 720, 3000, 3187, - 380, 2736, 3114, 106, 1369, 3725, 263, 2645, 3479, 477, 1594, 3837, 1136, 1311, 3274, 2253, 2450, 3191, 218, 368, 498, 2654, 3340, 3752, 3290, 3355, 3759, 241, 361, 2494, - 441, 1295, 1940, 165, 791, 2280, 804, 1547, 2959, 311, 405, 2399, 673, 2721, 2997, 1405, 2393, 3433, 2681, 3452, 3761, 362, 491, 691, 239, 780, 2287, 414, 1289, 3336, - 420, 1360, 2421, 789, 2722, 2953, 1407, 3454, 3738, 371, 682, 2730, 480, 645, 3954, 2151, 2669, 3443, 1115, 1632, 3311, 765, 2471, 3141, 187, 3796, 3933, 1924, 2157, 3463, - 232, 2250, 2456, 1333, 3277, 3342, 279, 401, 3330, 202, 779, 1572, 1121, 2158, 3434, 668, 3153, 3947, 1122, 2431, 3440, 641, 2975, 3196, 516, 1604, 2302, 322, 2455, 3631, - 807, 1521, 3523, 1787, 2140, 2328, 512, 2321, 3991, 2234, 3524, 3603, 1606, 1772, 2366, 348, 1498, 3526, 814, 966, 1515, 1715, 1728, 2117, 36, 75, 3088, 159, 1931, 3236, - 181, 792, 3245, 21, 2145, 3133, 809, 989, 3326, 1320, 1724, 2163, 597, 3773, 3982, 717, 2187, 2584, 325, 1487, 2894, 1603, 1784, 3043, 12, 3728, 3976, 726, 2212, 3246, - 55, 2113, 2356, 786, 3258, 3542, 1507, 2606, 2888, 627, 1763, 3064, 1343, 2154, 3122, 153, 830, 3305, 327, 3549, 3622, 541, 1629, 2364, 730, 982, 2578, 631, 1712, 3775, - 562, 1323, 2300, 2444, 3315, 3624, 964, 2459, 3324, 1329, 1726, 2291, 707, 1956, 3211, 11, 100, 3743, 103, 1622, 3023, 375, 1943, 2914, 430, 3061, 3126, 189, 2910, 3914, - 3306, 3647, 3930, 432, 555, 1330, 109, 2288, 3765, 713, 1941, 2440, 144, 1932, 2937, 110, 3017, 3092, 191, 3312, 3917, 425, 1341, 3076, 411, 544, 3980, 2215, 3609, 3953, - 963, 1504, 2599, 581, 1706, 1760, 23, 2334, 3970, 2221, 3239, 3574, 1705, 2282, 3737, 719, 1014, 2446, 343, 1975, 2434, 122, 1654, 2281, 2222, 2622, 3944, 396, 593, 3995, - 2601, 2932, 3951, 395, 636, 3039, 787, 1830, 2758, 733, 1319, 2070, 1081, 1189, 2888, 2493, 2684, 3085, 815, 2676, 2972, 61, 2057, 2892, 1798, 2482, 2641, 1172, 1287, 2882, - 1054, 1162, 1418, 340, 2448, 3094, 2198, 2586, 3937, 211, 2001, 3509, 230, 1038, 3487, 2179, 2609, 3109, 1076, 1421, 1736, 357, 1096, 3126, 1712, 1981, 2967, 49, 2559, 3411, - 1206, 1308, 2689, 1821, 2321, 2436, 1705, 2202, 2999, 40 -] -private def clayworthNeighborData_chunk16 : Array (Fin 4032) := #[ - 255, 3398, 2185, 2686, 3082, 239, 1058, 2894, 1174, 2534, 2721, 1973, 2325, 2486, 1102, 2603, 3092, 1032, 1780, 3472, 1298, 2051, 2903, 806, 1811, 2654, 1428, 2521, 3430, 351, - 1691, 1936, 793, 1111, 2781, 708, 1735, 2061, 758, 1430, 1730, 364, 1090, 2756, 217, 2005, 3421, 1710, 2189, 3905, 1792, 2364, 3955, 1281, 2035, 2716, 1579, 2309, 2595, 2739, - 3519, 3624, 1746, 2074, 3627, 831, 1100, 1576, 1675, 2774, 3932, 707, 2039, 3392, 2044, 2693, 3481, 2355, 2575, 3946, 1752, 3517, 3633, 1115, 1585, 2592, 808, 1599, 2951, 50, - 2063, 3634, 1165, 1445, 2515, 336, 1951, 2452, 2191, 2648, 2949, 63, 232, 2907, 376, 1676, 2806, 726, 1462, 3451, 710, 1338, 1989, 1851, 2755, 3909, 43, 2536, 3645, 1597, - 1983, 2946, 2543, 2730, 3647, 1586, 1945, 2359, 68, 1404, 2822, 749, 1766, 2952, 231, 1253, 3661, 1689, 2125, 3594, 64, 3036, 3633, 1185, 2968, 3668, 1365, 1717, 3631, 734, - 1236, 3670, 238, 469, 1226, 1332, 1683, 2134, 1424, 2634, 3983, 2065, 2254, 3580, 216, 2267, 3582, 1469, 2149, 2671, 233, 465, 1887, 1288, 2166, 2571, 3031, 3245, 3338, 1157, - 2519, 3959, 721, 1270, 3094, 1399, 1673, 2385, 2668, 3063, 3365, 1180, 2273, 3909, 2122, 2662, 3597, 210, 2288, 3658, 1238, 2524, 3126, 1667, 2389, 3217, 1458, 2132, 2606, 254, - 1909, 3544, 761, 2996, 3702, 93, 1361, 3624, 453, 2551, 3925, 1298, 3236, 3341, 114, 2605, 2845, 1787, 1917, 2946, 508, 1772, 1872, 1282, 2596, 2820, 2069, 2274, 3955, 2661, - 3348, 3977, 1349, 2428, 3981, 725, 2099, 3075, 1462, 1634, 2373, 2698, 3101, 3550, 1919, 2714, 2951, 107, 1608, 2618, 2838, 3382, 3971, 1738, 2103, 3964, 2108, 3078, 3537, 1428, - 2419, 3994, 1881, 2701, 3572, 1412, 1614, 2599, 96, 1652, 3015, 1194, 2737, 2962, 503, 1229, 2501, 1304, 1670, 3221, 2683, 3013, 3610, 1153, 2282, 3685, 1287, 2870, 3350, 499, - 1765, 3921, 740, 1775, 2053, 1395, 2819, 3990, 1203, 2498, 2728, 1630, 3010, 3257, 2503, 2735, 3076, 1657, 2423, 3230, 938, 1715, 2886, 207, 1624, 3469, 299, 1192, 3196, 799, - 3225, 3572, 956, 2857, 3554, 168, 319, 1630, 1697, 3253, 3528, 306, 3198, 3505, 1199, 1386, 3187, 547, 824, 3219, 75, 2040, 3949, 1332, 1800, 3895, 1177, 1310, 3861, 110, - 777, 2015, 1190, 1377, 2187, 568, 803, 2635, 2564, 2834, 3651, 147, 3429, 3735, 1487, 3177, 3496, 1665, 2421, 3209, 91, 2614, 2840, 153, 3436, 3852, 105, 821, 3550, 305, - 1215, 3876, 1481, 3184, 3740, 2399, 3203, 3652, 783, 2000 -] -private def clayworthNeighborData_chunk17 : Array (Fin 4032) := #[ - 2670, 1171, 1337, 2188, 317, 1652, 3482, 947, 1706, 3534, 1349, 3412, 3767, 512, 2610, 3654, 944, 2669, 2909, 201, 1662, 2197, 195, 1345, 2212, 556, 2660, 2884, 1794, 3448, - 3863, 76, 2580, 3940, 1692, 2377, 3934, 1498, 1816, 3503, 2021, 2403, 2435, 1294, 1494, 2107, 1660, 2104, 2231, 937, 2447, 2682, 2576, 2902, 3925, 205, 1799, 3423, 1288, 1485, - 1844, 2028, 2383, 3961, 1314, 2092, 2199, 2004, 2441, 2663, 958, 2458, 2862, 175, 1617, 2083, 1395, 3178, 3717, 544, 3206, 3677, 112, 2878, 3577, 191, 296, 3851, 571, 2621, - 2934, 214, 1372, 3408, 218, 1810, 3466, 1669, 2883, 3921, 166, 2080, 3714, 2445, 2855, 3670, 1475, 2048, 3719, 2424, 2454, 3702, 745, 1002, 2457, 271, 1038, 3354, 921, 1833, - 3326, 575, 1576, 2927, 555, 1020, 2738, 1036, 1843, 2152, 552, 764, 1599, 1854, 3305, 3371, 949, 1645, 3288, 213, 1583, 2890, 139, 1771, 3943, 1396, 1864, 3411, 957, 1374, - 3430, 174, 2939, 3922, 843, 927, 1636, 11, 228, 2917, 2688, 2839, 3525, 2052, 2131, 2590, 3310, 3360, 4018, 755, 1450, 1561, 155, 2720, 2828, 2137, 2612, 3455, 169, 573, - 2918, 959, 1840, 3439, 2051, 3303, 3972, 1441, 1555, 3522, 46, 2924, 3911, 844, 912, 1401, 1051, 1852, 3377, 561, 766, 1011, 1639, 2102, 2577, 215, 2818, 3575, 45, 1008, - 2485, 265, 853, 1032, 259, 868, 1611, 36, 203, 2463, 1858, 2584, 3417, 140, 1777, 2843, 746, 1459, 1763, 1880, 3363, 4011, 643, 1436, 3905, 1358, 1925, 3968, 887, 1026, - 1943, 58, 694, 1001, 1754, 2493, 2830, 269, 1863, 2622, 1352, 1908, 4000, 1413, 1760, 3962, 855, 1378, 1975, 39, 662, 3932, 644, 1022, 2692, 1047, 1922, 2159, 1658, 2070, - 3282, 247, 1574, 3543, 176, 562, 2731, 1834, 2175, 3432, 204, 2448, 2824, 278, 1646, 2620, 282, 1874, 3343, 752, 1743, 2495, 1927, 2077, 2150, 669, 2717, 3548, 1948, 2054, - 3997, 646, 1409, 3527, 1066, 1704, 1779, 216, 335, 2458, 978, 1369, 3788, 884, 1608, 3678, 866, 1084, 3100, 222, 1347, 2216, 840, 1652, 1761, 967, 1397, 2475, 984, 1499, - 3803, 1602, 2278, 3665, 37, 1857, 3993, 180, 264, 3959, 158, 3778, 3925, 20, 3672, 3987, 1150, 1484, 3790, 1155, 2287, 3708, 2002, 3095, 3402, 1420, 2195, 2978, 962, 2464, - 3872, 483, 1624, 1729, 56, 3127, 3429, 1419, 2201, 3916, 16, 862, 3700, 1363, 3799, 3940, 968, 2996, 3840, 463, 1618, 2025, 1158, 3710, 3974, 185, 1129, 3784, 244, 1353, - 2481, 846, 1075, 1770, 1435, 1480, 2958, 2023, 2265, 3405 -] -private def clayworthNeighborData_chunk18 : Array (Fin 4032) := #[ - 1072, 1205, 1711, 254, 329, 1139, 323, 1148, 1495, 1161, 1702, 2280, 258, 1454, 3927, 44, 1914, 3412, 480, 1756, 1890, 280, 2467, 3875, 387, 497, 3977, 142, 3238, 3884, - 252, 1130, 3240, 399, 1065, 1177, 1689, 1901, 3446, 263, 333, 1449, 136, 308, 3896, 491, 1889, 4021, 162, 1136, 3247, 393, 1171, 3971, 410, 1086, 3079, 209, 2223, 3263, - 1012, 1486, 2952, 1607, 2030, 2259, 31, 889, 3077, 1350, 2239, 3915, 1683, 2303, 3414, 342, 1456, 1474, 274, 346, 2447, 1727, 1733, 1913, 2214, 3001, 3225, 397, 2008, 3074, - 2974, 3219, 3899, 406, 474, 2046, 321, 390, 619, 901, 1830, 3434, 1020, 2106, 3128, 2280, 2853, 3481, 325, 2131, 3503, 897, 1012, 1207, 602, 2836, 3519, 1022, 3103, 3419, - 2093, 3116, 3611, 1389, 2289, 2860, 2627, 3049, 3886, 209, 1983, 4023, 1981, 2081, 3989, 2301, 2630, 3881, 1732, 2105, 3596, 1401, 2283, 2426, 714, 2121, 2360, 279, 1163, 3667, - 2015, 3088, 3406, 591, 2832, 3275, 741, 2165, 2678, 1164, 3654, 3980, 2303, 2653, 3475, 977, 2049, 4004, 270, 2040, 3092, 2304, 2847, 3276, 2290, 2369, 3888, 1778, 1970, 2082, - 924, 984, 3440, 348, 625, 3496, 258, 3592, 3686, 717, 1345, 2339, 353, 413, 2386, 947, 1728, 1851, 1757, 1836, 3607, 388, 1378, 2407, 213, 3677, 3991, 724, 2646, 3054, - 611, 3032, 3310, 243, 2037, 3426, 61, 3312, 3852, 1969, 1999, 3139, 938, 1760, 3189, 25, 362, 2375, 406, 758, 3047, 247, 1802, 3648, 252, 1960, 1993, 3070, 3305, 3851, - 1771, 1963, 3145, 63, 2396, 3867, 53, 371, 2118, 929, 1173, 3161, 264, 3109, 3598, 1402, 2336, 2872, 2137, 2628, 3494, 990, 1175, 3979, 438, 726, 1377, 1829, 3586, 3707, - 197, 1839, 3425, 387, 608, 3026, 268, 1188, 3155, 31, 2115, 2348, 283, 2019, 3142, 16, 2363, 3291, 52, 72, 3849, 769, 1189, 4017, 451, 2236, 3619, 588, 1090, 3256, - 531, 3220, 3862, 1168, 2228, 2615, 57, 1095, 3231, 454, 2238, 4015, 457, 1809, 3599, 599, 1096, 2861, 392, 1460, 3964, 143, 873, 3124, 878, 3102, 3627, 436, 590, 1416, - 1822, 2753, 3610, 578, 1272, 2873, 521, 1359, 2691, 663, 2571, 3392, 467, 1950, 3978, 34, 1106, 2164, 391, 565, 1370, 2572, 3134, 3424, 408, 603, 3244, 2193, 3089, 3616, - 473, 654, 1937, 1112, 2142, 2714, 584, 1247, 1422, 871, 2810, 3633, 1172, 2200, 4008, 30, 3216, 3843, 642, 1828, 3421, 1379, 2710, 2817, 66, 1253, 3855, 826, 1196, 2786, - 813, 1849, 2785, 71, 1260, 2850, 163, 3096, 3435, 386 -] -private def clayworthNeighborData_chunk19 : Array (Fin 4032) := #[ - 1393, 3955, 14, 2136, 3945, 177, 1972, 3981, 1465, 2172, 2631, 856, 1982, 3148, 1208, 2809, 3138, 1236, 2648, 3866, 88, 1387, 3946, 160, 802, 3442, 154, 894, 1944, 1438, - 2174, 3966, 850, 2797, 3159, 1232, 1442, 2642, 518, 2676, 3853, 1183, 2581, 3144, 501, 648, 1813, 1140, 2701, 2874, 402, 537, 3237, 2206, 2583, 3132, 82, 1376, 2849, 825, - 1837, 3396, 171, 801, 3994, 8, 116, 3952, 652, 2596, 3150, 515, 2632, 2697, 667, 1980, 3163, 2129, 2626, 2703, 32, 692, 3913, 1329, 3652, 3818, 1116, 2939, 3180, 707, - 1218, 1617, 1645, 2256, 3926, 1111, 3428, 3781, 697, 1223, 1630, 1095, 1327, 2918, 273, 2880, 3173, 713, 1224, 3124, 520, 1588, 1886, 105, 2191, 2513, 110, 2517, 3167, 564, - 723, 1544, 286, 3156, 3480, 757, 2159, 3102, 1519, 2284, 2819, 1453, 2334, 3422, 1290, 2078, 2899, 630, 674, 1234, 519, 1512, 2277, 1466, 2547, 3449, 536, 710, 1621, 1093, - 2551, 3192, 2065, 2340, 2886, 596, 1240, 2842, 729, 1550, 2122, 103, 3152, 3508, 1090, 1320, 3827, 670, 1657, 3907, 292, 1465, 2321, 1482, 2838, 3086, 0, 2161, 3919, 3516, - 3702, 3809, 313, 3518, 3668, 29, 2152, 3129, 1409, 2211, 2556, 514, 1521, 1873, 580, 654, 1880, 1293, 2100, 2225, 637, 1199, 1593, 88, 987, 2110, 1002, 3473, 3777, 1211, - 2138, 3930, 50, 1498, 1916, 1441, 2208, 3709, 126, 2072, 2202, 626, 1566, 1908, 82, 1008, 3486, 1190, 1570, 2125, 1196, 2271, 3917, 993, 3413, 3804, 277, 2325, 2909, 1268, - 2829, 3080, 530, 1636, 2260, 1143, 2501, 3437, 4, 1485, 3106, 301, 1442, 3664, 1306, 2219, 3698, 43, 648, 1918, 994, 2361, 3409, 1189, 2296, 2825, 974, 2108, 2349, 592, - 1162, 2831, 756, 1416, 3433, 272, 572, 1883, 1221, 2559, 4022, 2442, 3162, 3457, 2486, 3403, 3859, 1867, 2959, 3978, 761, 2445, 3149, 517, 2536, 3988, 1267, 2557, 3114, 1513, - 3151, 3489, 2186, 2742, 3592, 906, 2255, 3729, 933, 1217, 3733, 2710, 3461, 3636, 1258, 3026, 3123, 793, 1534, 3498, 453, 2883, 3849, 1985, 2118, 2987, 567, 1806, 2545, 738, - 3158, 3380, 476, 3591, 3893, 2012, 2993, 3763, 2469, 3484, 3608, 1244, 3767, 3990, 1800, 2166, 2539, 2906, 3139, 3336, 821, 2701, 3507, 916, 1249, 3032, 563, 1868, 4005, 734, - 2454, 3438, 2017, 2141, 3113, 499, 1514, 2902, 829, 1410, 3440, 317, 1904, 3010, 319, 3015, 3132, 831, 1415, 1532, 1989, 2275, 3772, 449, 2213, 3586, 718, 2198, 3358, 533, - 1826, 2289, 149, 2725, 3362, 918, 1742, 1822, 1780, 1897 -] -private def clayworthNeighborData_chunk20 : Array (Fin 4032) := #[ - 3016, 188, 784, 3419, 481, 1432, 2196, 309, 2035, 2272, 909, 1849, 2266, 2189, 2708, 3385, 950, 1736, 3060, 145, 799, 2698, 179, 3404, 3846, 1758, 1902, 2979, 2116, 2546, - 3120, 1520, 2893, 3145, 2452, 3602, 3865, 2970, 3717, 3981, 490, 1426, 1523, 281, 2026, 3134, 287, 529, 2283, 712, 1460, 2230, 1785, 2115, 2976, 133, 2889, 3843, 1762, 1844, - 2134, 183, 2895, 3342, 991, 2320, 3265, 2130, 3081, 3623, 662, 1710, 1872, 187, 1149, 2512, 163, 312, 2354, 1159, 1709, 2158, 128, 1138, 3271, 1703, 1876, 3591, 653, 1887, - 3335, 1104, 2557, 2773, 2217, 2673, 3003, 888, 951, 1635, 649, 917, 1615, 2224, 2549, 2650, 666, 1994, 3346, 1374, 2559, 2769, 265, 366, 3487, 1210, 2846, 4020, 531, 1893, - 3612, 1092, 1298, 3282, 271, 2671, 3472, 908, 1191, 2873, 172, 2527, 2637, 643, 932, 1675, 537, 1900, 4028, 347, 1142, 1304, 1396, 2218, 2521, 655, 1609, 1997, 1722, 2151, - 3602, 160, 2365, 3292, 2868, 3336, 3998, 331, 2797, 3512, 1013, 1404, 2324, 2024, 2136, 3087, 2031, 3098, 3352, 969, 1361, 2782, 876, 919, 2850, 2664, 2988, 3476, 1319, 2976, - 3303, 550, 864, 3585, 1321, 2236, 3535, 552, 831, 1631, 818, 2033, 2174, 1406, 2358, 3552, 995, 3000, 3493, 891, 2830, 3094, 559, 867, 1656, 1326, 2238, 2944, 829, 1653, - 2010, 1368, 2227, 3555, 287, 2308, 3563, 811, 1180, 2153, 1912, 3330, 3985, 332, 1108, 2788, 184, 291, 2634, 907, 1170, 1700, 975, 2809, 3500, 2824, 3085, 3380, 832, 3075, - 3642, 1016, 2979, 3322, 817, 1153, 3992, 309, 361, 3569, 575, 808, 4030, 368, 1342, 3546, 1273, 1680, 3476, 2510, 3165, 3200, 711, 3683, 3797, 1117, 1213, 2171, 1828, 2147, - 3460, 759, 917, 3168, 1202, 1718, 2112, 732, 3244, 3704, 3642, 3663, 3812, 1088, 1168, 3035, 49, 873, 3774, 794, 1015, 1071, 981, 1064, 3806, 26, 880, 1138, 3623, 3821, - 3937, 1120, 1605, 3056, 421, 1815, 3347, 340, 953, 2703, 206, 3256, 3679, 1156, 1362, 1668, 47, 1804, 3334, 926, 972, 2697, 13, 1092, 2156, 706, 996, 3793, 226, 370, - 3701, 422, 1206, 1368, 874, 1131, 1651, 1073, 3833, 3946, 709, 3136, 3259, 1684, 2144, 3510, 374, 2723, 3620, 428, 3042, 3353, 1261, 1601, 3472, 2530, 3140, 3918, 2529, 3630, - 3938, 1252, 1628, 3050, 781, 983, 2741, 40, 3331, 3736, 1383, 1714, 3758, 219, 808, 3235, 560, 892, 1385, 234, 1037, 2905, 2941, 3186, 3931, 545, 1633, 3517, 1233, 3337, - 3730, 778, 2544, 2719, 240, 817, 1034, 894, 1390, 3753 -] -private def clayworthNeighborData_chunk21 : Array (Fin 4032) := #[ - 1050, 2943, 3952, 554, 883, 1642, 546, 1813, 3506, 932, 2896, 3179, 324, 3629, 3657, 443, 1172, 3022, 10, 1803, 2168, 727, 913, 971, 1237, 3041, 3381, 2538, 2744, 3595, - 815, 2523, 3232, 1246, 1725, 3751, 336, 941, 2911, 394, 526, 1847, 225, 381, 2933, 431, 539, 1406, 1829, 3329, 3538, 605, 2527, 3178, 931, 1774, 2335, 1277, 2235, 2576, - 1393, 2211, 3522, 608, 1773, 3829, 1266, 2176, 3335, 952, 1767, 3163, 911, 2360, 2745, 1232, 2621, 3501, 1106, 1157, 3268, 120, 227, 1079, 207, 1045, 2324, 1127, 1207, 2613, - 2348, 2733, 3983, 1517, 2623, 3492, 1354, 1933, 2451, 1332, 3089, 3811, 927, 2256, 3150, 146, 1220, 3346, 1159, 1391, 2438, 1036, 3102, 3791, 1175, 2220, 2591, 1060, 1739, 2320, - 949, 1340, 2260, 152, 1270, 1960, 1146, 1530, 2585, 201, 2341, 3994, 576, 1786, 3184, 2208, 3356, 3527, 1310, 2705, 3093, 1930, 2457, 3486, 1506, 1836, 3544, 580, 2552, 4000, - 2531, 2724, 4003, 1529, 1848, 3477, 108, 1047, 3129, 1180, 2435, 3318, 167, 3325, 3367, 96, 2301, 3170, 169, 847, 1116, 223, 2244, 3662, 626, 3681, 4011, 864, 1505, 3572, - 1808, 2441, 3284, 123, 2505, 3117, 99, 248, 2290, 174, 1095, 3314, 245, 3682, 4017, 867, 1089, 1473, 875, 1370, 3528, 619, 3690, 3807, 905, 1297, 2718, 1236, 1967, 3513, - 1154, 1384, 2232, 1035, 1764, 3785, 1823, 2485, 3473, 2511, 2709, 3108, 64, 2549, 3169, 1812, 3280, 3386, 1304, 3696, 3832, 881, 1357, 1946, 1342, 2294, 3675, 190, 858, 1969, - 1325, 1559, 2568, 1225, 3345, 3743, 219, 1955, 2119, 2299, 2640, 3154, 1281, 1684, 2275, 194, 1885, 3364, 2240, 2584, 3175, 206, 1241, 1976, 1935, 2072, 2114, 2685, 3065, 3160, - 147, 2313, 3984, 948, 1143, 1186, 1109, 1209, 2117, 134, 2677, 4029, 2066, 2135, 3949, 464, 2687, 3042, 1026, 1720, 2803, 547, 1496, 1899, 1235, 1951, 3859, 15, 2578, 3182, - 181, 1031, 1695, 1100, 1534, 1888, 131, 2284, 2655, 204, 1124, 2140, 561, 1973, 3865, 35, 2793, 3177, 468, 2649, 4018, 1182, 2167, 3961, 200, 1269, 3349, 1338, 2272, 2612, - 527, 1524, 2089, 1032, 2812, 3060, 504, 1337, 1538, 3358, 3768, 3905, 2087, 3747, 3962, 479, 1544, 3022, 926, 1111, 1532, 153, 1042, 2319, 26, 2326, 2567, 958, 1222, 3878, - 43, 328, 4022, 257, 1160, 3880, 301, 3385, 3937, 327, 492, 1314, 1048, 1563, 2330, 913, 1489, 3721, 920, 1166, 3887, 49, 2307, 3988, 314, 1204, 3938, 322, 485, 3972, - 338, 1313, 1701, 313, 1860, 3373, 538, 1929, 2110, 2814 -] -private def clayworthNeighborData_chunk22 : Array (Fin 4032) := #[ - 3038, 3198, 137, 1680, 2296, 215, 1099, 1856, 1076, 1550, 3016, 1502, 2094, 3727, 956, 1219, 3765, 1548, 2317, 2562, 290, 544, 1906, 344, 1708, 2794, 289, 555, 3903, 32, - 372, 2800, 961, 2735, 4010, 754, 866, 1953, 1167, 2173, 2209, 42, 115, 3162, 62, 3697, 4028, 1968, 2166, 3471, 51, 106, 967, 736, 2162, 2218, 1178, 2177, 2420, 69, - 2031, 3185, 1675, 1741, 3210, 770, 3287, 3729, 791, 1155, 3266, 1738, 3146, 3213, 1165, 2398, 3858, 2022, 2629, 3176, 1296, 1551, 3658, 1488, 1870, 3487, 704, 2227, 3387, 97, - 978, 1053, 1311, 3240, 3695, 782, 1492, 3512, 48, 3149, 3226, 780, 1161, 2128, 1898, 2181, 3366, 65, 1030, 1579, 1765, 2679, 3183, 1174, 3271, 3864, 747, 1962, 2116, 60, - 988, 4019, 1503, 1883, 2430, 1300, 1562, 2047, 2684, 2726, 4016, 865, 1954, 3842, 833, 2385, 3847, 2003, 2675, 2747, 776, 1509, 3742, 1336, 1676, 3247, 999, 1028, 1685, 733, - 3372, 3748, 1046, 1447, 1782, 695, 3269, 3338, 657, 1934, 3848, 1449, 2641, 4009, 1324, 1687, 2725, 877, 1516, 3769, 3319, 3365, 3733, 1078, 1700, 1750, 661, 3292, 3892, 1454, - 1748, 2645, 1470, 3674, 4030, 700, 1947, 3465, 1904, 2204, 2392, 92, 1585, 2024, 41, 3249, 3688, 795, 2132, 3491, 1317, 2009, 2732, 890, 1528, 2428, 708, 889, 3757, 1018, - 1719, 2698, 691, 1890, 3509, 1432, 1571, 3661, 645, 1889, 3375, 1027, 1426, 1568, 1025, 3120, 3874, 1124, 1728, 3229, 1231, 2237, 2657, 602, 828, 1202, 945, 1152, 3882, 2230, - 3232, 3562, 830, 1031, 1195, 1734, 2226, 2658, 1242, 2666, 2936, 625, 785, 2095, 1892, 3147, 3382, 85, 981, 3270, 100, 977, 1219, 586, 1867, 3172, 1229, 2805, 2915, 616, - 2086, 3628, 753, 906, 1648, 270, 1552, 3582, 1747, 2491, 2638, 196, 792, 1042, 730, 943, 3175, 94, 1556, 3561, 589, 1156, 3181, 109, 1225, 2192, 298, 2470, 2651, 242, - 820, 1634, 623, 1868, 3643, 990, 1238, 2761, 1757, 2180, 3200, 1052, 1184, 3873, 283, 1567, 2933, 744, 1627, 2111, 3099, 3594, 3854, 1133, 2808, 3204, 1145, 2783, 2895, 2067, - 3084, 3621, 81, 1573, 3267, 717, 3182, 3350, 246, 1063, 3357, 1766, 2476, 3289, 208, 458, 1911, 398, 1005, 2442, 417, 2787, 3250, 492, 3631, 3867, 714, 3118, 3331, 1105, - 1580, 3273, 996, 2469, 3283, 212, 1877, 3332, 418, 1017, 2767, 485, 1879, 3622, 507, 922, 3888, 426, 3243, 3571, 304, 2672, 2911, 798, 1614, 2088, 936, 1181, 3194, 121, - 2196, 3568, 751, 2073, 3083, 1118, 1592, 2889, 1109, 1787 -] -private def clayworthNeighborData_chunk23 : Array (Fin 4032) := #[ - 3317, 1082, 3113, 3334, 290, 432, 3580, 486, 909, 1642, 289, 411, 2479, 253, 495, 1633, 99, 1217, 3881, 373, 1329, 2006, 8, 1017, 2429, 2215, 2746, 3389, 90, 2097, - 2238, 190, 1993, 2422, 1223, 2222, 3378, 14, 376, 2418, 2, 990, 2613, 276, 2689, 3344, 1119, 2134, 3446, 1059, 3064, 3559, 974, 1080, 3043, 1144, 2115, 2745, 761, 1012, - 2591, 293, 850, 2721, 409, 2058, 2450, 158, 2519, 2833, 27, 355, 3591, 1234, 3332, 3792, 2095, 2138, 2456, 145, 1033, 2846, 2121, 2194, 2733, 994, 1055, 2384, 12, 2532, - 3612, 387, 3382, 3807, 839, 1132, 2722, 749, 968, 3040, 351, 1987, 2372, 79, 1244, 2217, 2508, 2575, 2837, 287, 437, 2439, 96, 884, 3888, 737, 1323, 1997, 738, 1312, - 2616, 300, 856, 3882, 1039, 2873, 3566, 2125, 2484, 3414, 1255, 3421, 3837, 335, 3544, 3586, 1108, 1515, 3801, 2654, 3067, 3639, 705, 2010, 2632, 107, 840, 1512, 2440, 3395, - 3900, 1295, 2861, 3561, 3052, 3538, 3607, 1104, 3396, 3839, 762, 2676, 3008, 834, 1125, 1521, 113, 1535, 2074, 152, 1999, 2638, 23, 2507, 2569, 272, 393, 3348, 2088, 2127, - 2200, 188, 1077, 2388, 312, 2434, 3891, 1315, 2595, 2852, 329, 1306, 3582, 1274, 3398, 3902, 180, 2551, 2658, 403, 1533, 2061, 2517, 2681, 3589, 390, 1522, 3829, 1345, 2780, - 3926, 1731, 1856, 3511, 60, 680, 2538, 911, 2473, 2649, 918, 1114, 2785, 659, 2037, 3473, 922, 1351, 2494, 17, 703, 1862, 62, 841, 2547, 303, 2480, 2677, 84, 1494, - 2957, 414, 1154, 3018, 441, 1160, 2537, 1485, 2630, 2966, 835, 2556, 2834, 294, 2633, 3347, 625, 1120, 2587, 728, 2045, 3747, 30, 1875, 2883, 1362, 1954, 2492, 1131, 1492, - 2574, 392, 756, 2000, 905, 1482, 2643, 418, 687, 2544, 52, 2889, 3761, 637, 1934, 2483, 2627, 2947, 3334, 1166, 2558, 2823, 665, 1885, 3477, 909, 1372, 2753, 722, 858, - 3727, 319, 616, 2572, 2757, 3387, 3907, 1734, 2874, 3461, 854, 1757, 2855, 275, 3366, 3910, 436, 712, 3021, 101, 1526, 2568, 95, 1383, 1977, 1894, 2886, 3028, 1972, 2959, - 3208, 1164, 2258, 2905, 2292, 2817, 3507, 2803, 3207, 3328, 108, 2562, 3908, 706, 1782, 3030, 1175, 2899, 3045, 80, 1950, 2970, 1179, 2264, 2844, 2953, 3202, 3357, 1103, 2794, - 3218, 2009, 2248, 3516, 24, 847, 3738, 296, 639, 2474, 899, 1137, 1509, 398, 678, 2015, 281, 2583, 3933, 711, 845, 1732, 1750, 1915, 3062, 120, 1402, 3958, 2047, 2242, - 3744, 619, 1123, 3224, 2247, 2933, 3755, 626, 1928, 3252 -] -private def clayworthNeighborData_chunk24 : Array (Fin 4032) := #[ - 195, 2753, 3036, 1681, 1920, 3872, 836, 1118, 3185, 1303, 2265, 3539, 595, 3041, 3520, 835, 3670, 3855, 221, 2293, 3526, 861, 1926, 3179, 1140, 1919, 3176, 539, 1292, 2259, - 10, 651, 2954, 771, 1610, 2084, 790, 1148, 1613, 652, 1288, 2957, 1112, 1881, 3394, 524, 753, 1307, 191, 616, 2525, 2201, 3369, 3663, 407, 1939, 3186, 196, 2249, 2430, - 623, 661, 2500, 1620, 2229, 3657, 663, 1282, 3558, 886, 1105, 1622, 396, 3197, 3379, 171, 2243, 2428, 730, 1294, 2966, 781, 1150, 3399, 838, 1949, 3875, 198, 3009, 3549, - 1903, 2239, 3376, 189, 553, 2502, 736, 2810, 3013, 1724, 3444, 3883, 1715, 1875, 3400, 523, 747, 2791, 1637, 2059, 2207, 37, 676, 2550, 22, 246, 2409, 386, 1958, 2103, - 1769, 2410, 2964, 398, 783, 1818, 1827, 3416, 3889, 739, 1770, 3059, 20, 2518, 2759, 1719, 2060, 2192, 392, 777, 2069, 13, 2416, 2981, 794, 1807, 3410, 719, 1776, 2998, - 601, 1779, 3050, 1824, 3661, 3866, 1896, 3199, 3370, 178, 560, 2246, 614, 695, 3579, 854, 1654, 3651, 558, 2499, 2770, 1669, 1894, 2237, 1685, 1979, 2071, 54, 214, 2780, - 1835, 3390, 3674, 168, 639, 1788, 411, 1841, 3388, 177, 1790, 2419, 9, 1793, 3622, 768, 1089, 2688, 2956, 3351, 3667, 1611, 1739, 3044, 1783, 1797, 2826, 121, 772, 2985, - 1764, 3019, 3590, 2694, 2971, 3383, 3330, 3686, 3800, 973, 1646, 3053, 144, 2014, 3757, 919, 2451, 3894, 2457, 3711, 3860, 159, 1627, 2041, 593, 3695, 3794, 688, 986, 1641, - 1195, 2875, 4012, 65, 456, 3911, 2356, 2707, 3333, 1575, 3054, 3613, 165, 2860, 4027, 122, 500, 3890, 184, 1612, 1740, 2955, 3673, 3856, 2312, 3356, 3956, 1167, 1582, 3047, - 681, 1648, 2018, 606, 2495, 3688, 797, 2717, 2992, 1749, 1820, 3603, 462, 3817, 3922, 963, 1201, 4024, 53, 691, 1825, 638, 800, 1146, 636, 1133, 3815, 25, 682, 975, - 478, 951, 3844, 148, 3769, 3968, 1554, 3584, 3713, 903, 2328, 2726, 1342, 1598, 1992, 2075, 2311, 2479, 600, 811, 2090, 700, 1331, 1834, 6, 3746, 4000, 505, 901, 1122, - 898, 2322, 2470, 1560, 2036, 3770, 628, 2096, 2472, 702, 1340, 1998, 1322, 1843, 2863, 98, 818, 2081, 3335, 3838, 3928, 982, 1178, 3066, 172, 1751, 2853, 109, 2990, 3901, - 19, 969, 4003, 482, 1145, 3822, 924, 1121, 2747, 3, 3643, 3745, 97, 2082, 3906, 1184, 1328, 2854, 2062, 2306, 3912, 1187, 1321, 1577, 257, 649, 3179, 1217, 2816, 3653, - 2042, 2740, 3272, 203, 2789, 3052, 261, 3055, 3091, 26 -] -private def clayworthNeighborData_chunk25 : Array (Fin 4032) := #[ - 3282, 3649, 2772, 3067, 3162, 2696, 2822, 3316, 2029, 2649, 2718, 238, 1801, 2796, 2192, 2985, 3986, 403, 1047, 3958, 409, 2017, 3924, 219, 2207, 3992, 753, 2041, 2687, 233, - 1845, 2362, 1324, 3081, 3812, 3, 1879, 2881, 2702, 2835, 3579, 2768, 3151, 3715, 1339, 2213, 3125, 22, 2908, 3954, 204, 2232, 3045, 1985, 3266, 3920, 1870, 2722, 3564, 2783, - 3721, 3815, 240, 2305, 4030, 447, 744, 2018, 2845, 3288, 3676, 284, 3046, 3185, 1858, 2662, 2913, 1336, 1827, 3787, 289, 693, 2322, 754, 1274, 3699, 747, 1261, 2664, 665, - 1823, 2343, 1079, 2885, 3908, 1280, 2196, 2990, 2968, 3171, 3734, 1031, 2854, 3520, 190, 3738, 4014, 431, 3217, 3555, 765, 3252, 3690, 179, 298, 2311, 646, 1312, 2983, 1029, - 1250, 2931, 422, 1026, 3552, 3006, 3725, 4007, 424, 767, 3230, 188, 2332, 4009, 170, 307, 3078, 15, 3224, 3681, 1864, 2643, 2745, 1807, 2808, 3822, 2220, 3018, 3097, 13, - 3271, 3965, 659, 1315, 1848, 1273, 2671, 2922, 1052, 1249, 2875, 643, 2962, 3168, 9, 1868, 3262, 176, 3075, 3821, 1883, 3260, 3576, 169, 3727, 3834, 777, 2157, 2513, 970, - 1358, 1674, 1822, 3214, 3560, 752, 3116, 3824, 2553, 3119, 3871, 1377, 1593, 3539, 731, 2133, 3131, 1704, 3227, 3583, 50, 1844, 3234, 746, 3750, 3803, 237, 1866, 2384, 1239, - 1421, 2628, 1434, 1852, 2674, 1903, 2399, 3809, 4, 1816, 2450, 590, 3771, 3790, 930, 2297, 3855, 1125, 1537, 2620, 138, 1713, 3248, 718, 2129, 2315, 2270, 2405, 3849, 1455, - 1594, 2611, 2424, 3109, 3818, 1457, 1809, 3567, 141, 1126, 3242, 738, 944, 2340, 603, 1896, 3810, 1854, 2439, 2667, 1378, 1711, 3545, 2148, 2526, 3110, 16, 1098, 2577, 910, - 2285, 3722, 609, 821, 2517, 1007, 1371, 2490, 54, 998, 2471, 610, 793, 3756, 1271, 1418, 2565, 228, 2257, 2388, 222, 2142, 2316, 175, 1223, 1690, 672, 1882, 2359, 177, - 2025, 2624, 1392, 2044, 2433, 618, 669, 2532, 213, 774, 2261, 1004, 1221, 2615, 168, 1218, 2653, 249, 1869, 2327, 2046, 2460, 2656, 624, 640, 1905, 644, 2541, 3896, 1386, - 1570, 2035, 61, 1135, 3233, 737, 923, 3759, 2412, 3082, 3893, 1448, 1581, 3558, 787, 2276, 3749, 20, 1019, 2581, 997, 1244, 1677, 209, 771, 2169, 1132, 1569, 2026, 690, - 929, 3875, 154, 1147, 2032, 683, 938, 2325, 621, 653, 1220, 770, 1815, 2627, 334, 1617, 1989, 1500, 1732, 3793, 1216, 2756, 3781, 1986, 2637, 3169, 615, 1782, 3797, 796, - 1621, 2039, 347, 1660, 3675, 1477, 1778, 2995, 311, 522 -] -private def clayworthNeighborData_chunk26 : Array (Fin 4032) := #[ - 2298, 1069, 1668, 1977, 353, 1714, 1954, 559, 1505, 2241, 368, 3638, 3696, 126, 1523, 2949, 2139, 2708, 2784, 2602, 2872, 3141, 773, 976, 1655, 622, 1748, 2454, 556, 2725, - 2752, 1978, 2851, 3164, 550, 1473, 3836, 354, 1953, 2012, 1021, 1605, 2574, 1744, 2158, 2435, 124, 1514, 2268, 362, 1707, 3588, 775, 2007, 2646, 634, 1245, 3831, 2608, 2847, - 3659, 2124, 2704, 2961, 112, 666, 1266, 1804, 2633, 3600, 1819, 3604, 3689, 105, 689, 2999, 1081, 1965, 2831, 279, 549, 2732, 292, 587, 2486, 823, 991, 1045, 225, 2258, - 2461, 985, 1664, 1897, 1916, 2639, 3645, 106, 243, 1259, 268, 687, 2744, 1054, 1800, 2825, 1013, 1060, 1693, 277, 2279, 2436, 1696, 1918, 3634, 115, 234, 2247, 197, 1248, - 2802, 1907, 2650, 3178, 1651, 2587, 3660, 1789, 2123, 3004, 571, 2781, 3827, 1921, 1991, 3137, 680, 2719, 2965, 1806, 2869, 3694, 791, 1041, 1794, 267, 612, 650, 1898, 2593, - 3187, 220, 2160, 2795, 1023, 1904, 2594, 193, 2153, 2438, 1284, 3204, 3367, 834, 1569, 3735, 1831, 2329, 2820, 609, 2050, 3612, 1280, 1518, 2053, 1564, 1861, 2320, 577, 2055, - 3206, 860, 2367, 2845, 1838, 2246, 2866, 307, 618, 3589, 100, 203, 1381, 331, 415, 676, 437, 685, 1816, 85, 1354, 3617, 830, 1833, 2269, 316, 2728, 3635, 1085, 1429, - 1517, 1677, 1858, 2222, 837, 2816, 3118, 604, 3203, 3397, 76, 1040, 1508, 686, 1686, 1879, 119, 2071, 3585, 698, 1810, 2357, 2203, 2848, 3111, 581, 1459, 3420, 1391, 2751, - 3626, 409, 809, 1854, 839, 1537, 2365, 1309, 2076, 3229, 1690, 2217, 2262, 304, 1087, 1463, 1330, 2731, 3374, 819, 1578, 3724, 828, 2244, 3739, 318, 2737, 3369, 356, 651, - 1667, 75, 228, 1055, 231, 3222, 3447, 343, 887, 3083, 942, 1403, 3394, 445, 3029, 3117, 810, 1587, 3013, 944, 1323, 2738, 237, 1077, 3352, 341, 1673, 3720, 332, 400, - 3108, 238, 1388, 3415, 447, 816, 3063, 937, 1382, 2749, 923, 1312, 1511, 1541, 1884, 3059, 2224, 2243, 2859, 298, 627, 1413, 87, 1483, 2103, 679, 1911, 2335, 297, 1049, - 3390, 1679, 2294, 3726, 375, 855, 3714, 250, 3254, 3346, 1863, 2187, 3068, 908, 1425, 1530, 2188, 3025, 3130, 907, 1468, 3399, 1811, 3302, 3846, 1693, 2727, 3542, 2489, 2661, - 3111, 1376, 3773, 3836, 1839, 3483, 3828, 125, 3134, 3529, 3270, 3762, 3793, 2644, 2695, 3090, 1751, 2462, 2634, 852, 1344, 3728, 1871, 2179, 3040, 19, 2809, 3660, 38, 2446, - 3659, 1400, 1891, 2198, 598, 1730, 2484, 869, 1403, 2504 -] -private def clayworthNeighborData_chunk27 : Array (Fin 4032) := #[ - 304, 381, 3489, 113, 511, 3951, 513, 2678, 2716, 2053, 3293, 3716, 297, 1909, 3490, 63, 104, 3942, 1379, 1912, 3838, 47, 2466, 3118, 486, 545, 2646, 373, 2099, 3766, - 1388, 2230, 2510, 579, 2440, 3684, 2706, 3096, 3523, 1830, 3283, 3806, 473, 1755, 3914, 283, 336, 863, 1817, 2519, 3869, 602, 1668, 3533, 589, 1718, 1736, 876, 2498, 3844, - 25, 2782, 3963, 302, 1865, 3043, 2076, 3057, 3264, 540, 2689, 2766, 2081, 2153, 2205, 563, 1578, 3703, 591, 1577, 3546, 1855, 2154, 2508, 267, 3023, 3862, 1667, 2804, 3948, - 517, 2786, 3671, 2049, 2182, 3051, 585, 1584, 3669, 2160, 2180, 2523, 1832, 2163, 3504, 114, 1598, 3535, 467, 1740, 2637, 351, 848, 3732, 1887, 3470, 3800, 40, 127, 3113, - 268, 888, 3894, 1686, 1742, 3941, 1670, 2746, 2760, 3034, 3323, 3843, 107, 488, 1596, 383, 2172, 3498, 495, 554, 1587, 345, 2090, 2174, 260, 377, 2477, 759, 1290, 3333, - 615, 1454, 3734, 1797, 2256, 3255, 256, 2265, 2561, 33, 3329, 3741, 1847, 2271, 2453, 740, 1419, 3766, 622, 1173, 1447, 1820, 2804, 3221, 2199, 2960, 3999, 528, 3486, 3596, - 600, 3508, 3595, 2178, 3005, 3251, 617, 1169, 2857, 846, 2760, 3217, 1250, 2617, 3802, 5, 2377, 3890, 715, 1444, 1610, 1815, 2449, 3266, 1273, 2181, 2594, 28, 3632, 3883, - 2183, 2301, 3205, 594, 3630, 3715, 1453, 1613, 2381, 1794, 3287, 3779, 859, 2994, 3260, 638, 2878, 3464, 725, 3356, 3716, 285, 2293, 2468, 1157, 2371, 3844, 1230, 2770, 3789, - 306, 354, 865, 1327, 2858, 3379, 1212, 1318, 2864, 353, 866, 2754, 532, 3611, 3872, 1246, 2231, 4024, 2462, 3272, 3977, 568, 716, 1647, 1566, 2998, 3291, 233, 1649, 3490, - 252, 2867, 3370, 299, 874, 1560, 378, 1268, 4003, 549, 1324, 3840, 543, 1640, 3513, 2964, 3278, 4021, 254, 2876, 3470, 880, 1588, 2948, 288, 1598, 2618, 42, 243, 3361, - 1207, 1466, 2390, 1799, 2776, 3798, 2204, 2303, 2593, 1, 3625, 3718, 321, 1224, 2759, 1203, 1339, 3869, 556, 727, 1317, 365, 2489, 3983, 51, 234, 2383, 1596, 2605, 3791, - 240, 1626, 2394, 1553, 3276, 3785, 833, 902, 1451, 133, 3302, 3938, 1360, 2300, 3578, 3347, 3671, 4005, 837, 3603, 3676, 129, 2292, 2679, 1434, 3703, 3988, 1364, 2302, 3912, - 1375, 1562, 3565, 2925, 3353, 4012, 1998, 3423, 3779, 17, 383, 1513, 381, 1534, 3553, 2011, 3375, 3782, 617, 1551, 3577, 2937, 3166, 3391, 1674, 2068, 3593, 727, 2635, 2955, - 1381, 2796, 3956, 779, 1423, 3984, 1701, 3637, 3830, 1511 -] -private def clayworthNeighborData_chunk28 : Array (Fin 4032) := #[ - 2636, 2990, 3366, 3650, 3805, 1496, 2257, 3521, 718, 1388, 2789, 780, 2104, 3999, 2032, 3188, 3368, 370, 638, 3554, 156, 2264, 3918, 860, 1457, 3653, 706, 1558, 2980, 1677, - 2085, 2881, 865, 925, 3196, 179, 618, 3323, 624, 1545, 3308, 900, 2914, 3153, 21, 1518, 2983, 1684, 3448, 3798, 814, 1443, 3401, 51, 2811, 3934, 125, 816, 2017, 369, - 1279, 2799, 170, 627, 1263, 89, 874, 3198, 918, 1718, 3427, 55, 3002, 3274, 60, 360, 2790, 809, 2018, 3445, 363, 636, 1256, 127, 2026, 3160, 117, 883, 3590, 161, - 1254, 2645, 712, 1400, 1549, 2092, 2938, 4024, 3609, 3655, 3780, 1490, 2270, 2647, 950, 1686, 2913, 1539, 2989, 3301, 5, 3311, 3961, 899, 1440, 3407, 716, 1235, 2660, 95, - 2064, 3587, 731, 1241, 2762, 80, 795, 2079, 1716, 1753, 3931, 720, 1340, 2602, 511, 1512, 2380, 1259, 3673, 3722, 1987, 3766, 3927, 1491, 2565, 3460, 1266, 1721, 3725, 488, - 1285, 1535, 509, 1385, 2395, 1265, 2871, 3711, 566, 1558, 1859, 138, 1041, 3359, 165, 1045, 2370, 534, 1590, 3679, 1390, 2382, 3407, 1817, 2837, 3709, 1093, 1988, 3091, 2775, - 3459, 3590, 497, 1335, 3278, 987, 1277, 1698, 1116, 1542, 2038, 1075, 2754, 3462, 1540, 3701, 3749, 1079, 1519, 2391, 491, 3272, 3638, 972, 1279, 3112, 525, 1845, 3664, 148, - 2376, 3401, 1331, 1497, 2611, 1694, 3734, 3916, 1371, 2764, 3613, 1139, 2867, 3097, 1781, 1853, 3918, 765, 2593, 3405, 767, 1355, 3418, 1759, 1855, 2833, 1084, 2760, 3344, 1089, - 1539, 1878, 974, 1678, 1871, 1301, 3298, 3353, 405, 549, 962, 150, 630, 3294, 579, 2561, 3414, 444, 1808, 3912, 1121, 1789, 1869, 757, 2766, 3389, 141, 3321, 3381, 532, - 968, 1865, 182, 598, 3395, 401, 522, 1823, 435, 1990, 3906, 582, 2588, 3510, 498, 1392, 3588, 1256, 2821, 3135, 1565, 2006, 3732, 1029, 1510, 3485, 1130, 1744, 2876, 729, - 1356, 2779, 735, 1297, 3391, 1672, 1791, 1882, 605, 3478, 3587, 389, 2013, 3110, 580, 3316, 3606, 439, 983, 3119, 272, 2392, 3693, 462, 640, 1269, 1173, 1671, 2977, 2525, - 2685, 3643, 3300, 3619, 3678, 149, 1231, 1719, 310, 2674, 3584, 684, 1692, 2978, 1188, 1595, 2986, 2496, 2640, 3412, 113, 1086, 1961, 1818, 2295, 2479, 1182, 2261, 2472, 90, - 1968, 2546, 1197, 1536, 3040, 2528, 3205, 3408, 933, 1000, 3287, 185, 527, 852, 14, 696, 2958, 260, 2628, 2898, 111, 1007, 3276, 158, 521, 2252, 77, 2500, 3628, 1169, - 1666, 2276, 34, 882, 2971, 934, 2678, 2904, 1962, 2539 -] -private def clayworthNeighborData_chunk29 : Array (Fin 4032) := #[ - 3251, 1209, 2481, 3051, 699, 1225, 1669, 276, 3616, 3705, 547, 886, 1592, 940, 1009, 3396, 2386, 3201, 3684, 482, 1247, 3037, 481, 1568, 3008, 2407, 3228, 3453, 565, 1805, - 2263, 104, 970, 1048, 306, 1070, 2919, 27, 675, 1832, 1328, 1980, 2921, 42, 2445, 3072, 1272, 3012, 3107, 1313, 3233, 3669, 973, 1042, 2409, 496, 543, 1802, 48, 1841, - 2442, 1065, 1982, 2926, 2458, 3058, 3104, 1322, 1971, 3242, 1314, 3285, 3665, 164, 1251, 3128, 836, 1580, 2992, 955, 2644, 3446, 74, 3275, 3640, 145, 1687, 2251, 986, 2414, - 3442, 490, 568, 1571, 475, 672, 1839, 317, 1063, 2430, 173, 848, 3116, 906, 1294, 3319, 33, 893, 3131, 943, 1307, 2942, 505, 1359, 2004, 2149, 2344, 2913, 1735, 3324, - 3826, 1185, 2589, 3168, 1988, 3180, 3364, 1783, 2171, 2197, 1194, 1400, 3171, 1756, 2330, 3281, 3326, 3719, 3819, 1186, 1435, 2560, 30, 2089, 3614, 282, 431, 2423, 424, 2389, - 3805, 57, 2096, 2610, 2785, 3740, 3808, 1456, 1600, 2592, 1061, 1811, 3351, 84, 2233, 2299, 654, 2317, 3294, 1200, 1375, 1712, 21, 1798, 3340, 2206, 2284, 2380, 45, 2564, - 3136, 1730, 2404, 3780, 114, 674, 3316, 1062, 1179, 1706, 1632, 2090, 2603, 433, 2794, 3776, 1733, 2156, 2353, 1379, 2038, 3192, 118, 2278, 3751, 1068, 1442, 1817, 493, 1604, - 2000, 2122, 2766, 2922, 2786, 2928, 3713, 484, 1450, 1629, 269, 2277, 2391, 17, 1795, 3641, 1397, 1691, 3605, 296, 667, 2314, 176, 1698, 2108, 397, 682, 2534, 2159, 2540, - 2779, 161, 1650, 2045, 465, 1801, 3629, 266, 2250, 2894, 305, 394, 688, 1678, 2110, 3601, 410, 2555, 2800, 170, 1643, 2099, 162, 2034, 3349, 2150, 2212, 2533, 68, 3288, - 3730, 1083, 1166, 1422, 36, 3195, 3339, 1751, 2193, 2379, 469, 1441, 1845, 2287, 2907, 3770, 303, 2351, 2914, 478, 1353, 3620, 80, 2221, 2506, 142, 1034, 3383, 125, 673, - 2543, 155, 1071, 1697, 978, 2345, 3301, 479, 1250, 1437, 163, 632, 2102, 1860, 2220, 2417, 1872, 2328, 2929, 576, 1205, 1440, 1006, 1906, 2394, 184, 611, 1258, 143, 569, - 2068, 2213, 2408, 3686, 772, 2514, 2629, 35, 248, 2487, 15, 2098, 2453, 2214, 2535, 2679, 557, 1516, 2064, 2186, 2830, 3707, 333, 2890, 3731, 1187, 1380, 2740, 159, 1264, - 3338, 402, 1001, 2381, 2631, 2927, 3718, 1167, 1365, 2444, 1910, 2235, 2647, 620, 2052, 2468, 181, 2748, 3341, 360, 408, 2378, 2223, 2554, 2843, 9, 1531, 2109, 608, 1249, - 1408, 999, 1917, 2366, 529, 1389, 2718, 330, 3658, 3737 -] -private def clayworthNeighborData_chunk30 : Array (Fin 4032) := #[ - 2350, 2849, 3308, 504, 1412, 1507, 483, 548, 1528, 2850, 3320, 3692, 236, 1361, 2455, 822, 2652, 3715, 423, 829, 1022, 224, 1243, 3375, 425, 1935, 2524, 31, 2987, 3377, - 1458, 1504, 2944, 1952, 2343, 2858, 788, 3280, 3721, 251, 457, 1374, 56, 227, 3368, 430, 818, 2503, 53, 1472, 2976, 1955, 2497, 2864, 1963, 2322, 2906, 1183, 1451, 2973, - 137, 542, 2705, 367, 2415, 3695, 1876, 2626, 2920, 635, 1161, 2443, 3295, 3685, 3765, 463, 533, 1401, 192, 501, 1230, 784, 984, 3284, 1208, 2712, 2948, 346, 1969, 2893, - 2750, 2994, 3354, 369, 446, 1946 -] -private def clayworthNeighborData : Array (Fin 4032) := - clayworthNeighborData_chunk0 ++ clayworthNeighborData_chunk1 ++ clayworthNeighborData_chunk2 ++ clayworthNeighborData_chunk3 ++ clayworthNeighborData_chunk4 ++ clayworthNeighborData_chunk5 ++ clayworthNeighborData_chunk6 ++ clayworthNeighborData_chunk7 ++ clayworthNeighborData_chunk8 ++ clayworthNeighborData_chunk9 ++ clayworthNeighborData_chunk10 ++ clayworthNeighborData_chunk11 ++ clayworthNeighborData_chunk12 ++ clayworthNeighborData_chunk13 ++ clayworthNeighborData_chunk14 ++ clayworthNeighborData_chunk15 ++ clayworthNeighborData_chunk16 ++ clayworthNeighborData_chunk17 ++ clayworthNeighborData_chunk18 ++ clayworthNeighborData_chunk19 ++ clayworthNeighborData_chunk20 ++ clayworthNeighborData_chunk21 ++ clayworthNeighborData_chunk22 ++ clayworthNeighborData_chunk23 ++ clayworthNeighborData_chunk24 ++ clayworthNeighborData_chunk25 ++ clayworthNeighborData_chunk26 ++ clayworthNeighborData_chunk27 ++ clayworthNeighborData_chunk28 ++ clayworthNeighborData_chunk29 ++ clayworthNeighborData_chunk30 -private theorem clayworthNeighborData_size : clayworthNeighborData.size = 12096 := by native_decide - -private def clayworthAdjBool (u v : Fin 4032) : Bool := - have h := clayworthNeighborData_size - let b := 3 * u.val - clayworthNeighborData[b]'(by omega) == v || - clayworthNeighborData[b + 1]'(by omega) == v || - clayworthNeighborData[b + 2]'(by omega) == v - -def clayworthGraph : SimpleGraph (Fin 4032) where - Adj u v := clayworthAdjBool u v - symm u v := by simp only [clayworthAdjBool]; revert u v; native_decide - loopless := ⟨fun u => by simp only [clayworthAdjBool]; revert u; native_decide⟩ - -instance clayworthDecAdj : DecidableRel clayworthGraph.Adj := - fun u v => inferInstanceAs (Decidable (clayworthAdjBool u v)) - -/-! ## Generators -/ - -private def clayworthGen1Fwd_chunk0 : Array (Fin 4032) := #[ - 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, - 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, - 124, 125, 126, 127, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, - 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, - 248, 249, 250, 251, 252, 253, 254, 255, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, - 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, - 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, - 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, - 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, - 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, - 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, - 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, - 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, - 902, 903, 904, 905, 906, 907, 908, 909, 910, 911 -] -private def clayworthGen1Fwd_chunk1 : Array (Fin 4032) := #[ - 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, - 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, - 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, - 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, - 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, - 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1408, 1409, 1410, 1411, - 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, - 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, - 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, - 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, - 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, - 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, - 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, - 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823 -] -private def clayworthGen1Fwd_chunk2 : Array (Fin 4032) := #[ - 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, - 1854, 1855, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, - 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, - 1978, 1979, 1980, 1981, 1982, 1983, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, - 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, - 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, - 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, - 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, - 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, - 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, - 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, - 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, - 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, - 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671 -] -private def clayworthGen1Fwd_chunk3 : Array (Fin 4032) := #[ - 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2371, 2370, 2389, 2388, 2381, 2380, 2422, 2423, 2385, 2384, 2427, 2426, 2413, 2412, - 2398, 2399, 2408, 2409, 2373, 2372, 2415, 2414, 2405, 2404, 2419, 2418, 2424, 2425, 2391, 2390, 2430, 2431, 2377, 2376, 2420, 2421, 2407, 2406, 2397, 2396, 2400, 2401, 2382, 2383, - 2387, 2386, 2369, 2368, 2402, 2403, 2394, 2395, 2428, 2429, 2378, 2379, 2393, 2392, 2375, 2374, 2416, 2417, 2410, 2411, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, - 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, - 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2880, 2881, 2882, 2883, 2884, 2885, - 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, - 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 1773, 1772, - 1781, 1780, 1762, 1763, 1758, 1759, 1753, 1752, 1751, 1750, 1731, 1730, 1747, 1746, 1776, 1777, 1744, 1745, 1755, 1754, 1736, 1737, 1789, 1788, 1735, 1734, 1784, 1785, 1768, 1769, - 1786, 1787, 1766, 1767, 1741, 1740, 1749, 1748, 1733, 1732, 1728, 1729, 1739, 1738, 1782, 1783, 1757, 1756, 1761, 1760, 1791, 1790, 1742, 1743, 1774, 1775, 1765, 1764, 1771, 1770, - 1778, 1779, 2865, 2864, 2855, 2854, 2879, 2878, 2863, 2862, 2874, 2875, 2819, 2818, 2823, 2822, 2817, 2816, 2847, 2846, 2827, 2826, 2869, 2868, 2835, 2834, 2852, 2853, 2845, 2844, - 2857, 2856, 2873, 2872, 2859, 2858, 2849, 2848, 2824, 2825, 2829, 2828, 2870, 2871, 2867, 2866, 2831, 2830, 2839, 2838, 2821, 2820, 2877, 2876, 2861, 2860, 2841, 2840, 2851, 2850, - 2843, 2842, 2833, 2832, 2837, 2836, 2151, 2150, 2115, 2114, 2136, 2137, 2119, 2118, 2134, 2135, 2146, 2147, 2127, 2126, 2125, 2124, 2129, 2128, 2141, 2140, 2142, 2143, 2120, 2121, - 2116, 2117, 2139, 2138, 2131, 2130, 2132, 2133, 2158, 2159, 2122, 2123, 2168, 2169, 2113, 2112, 2154, 2155, 2152, 2153, 2157, 2156, 2144, 2145, 2161, 2160, 2174, 2175, 2166, 2167, - 2164, 2165, 2148, 2149, 2171, 2170, 2173, 2172, 2162, 2163 -] -private def clayworthGen1Fwd_chunk4 : Array (Fin 4032) := #[ - 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, - 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, - 3260, 3261, 3262, 3263, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, - 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, - 312, 313, 314, 315, 316, 317, 318, 319, 618, 619, 589, 588, 617, 616, 603, 602, 598, 599, 621, 620, 613, 612, 630, 631, 594, 595, 591, 590, 615, 614, - 587, 586, 585, 584, 597, 596, 625, 624, 582, 583, 627, 626, 580, 581, 635, 634, 610, 611, 606, 607, 637, 636, 577, 576, 632, 633, 592, 593, 638, 639, - 579, 578, 622, 623, 604, 605, 608, 609, 601, 600, 629, 628, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, - 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, - 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 2569, 2568, 2622, 2623, 2591, 2590, 2585, 2584, 2601, 2600, 2564, 2565, 2611, 2610, - 2608, 2609, 2597, 2596, 2578, 2579, 2580, 2581, 2621, 2620, 2599, 2598, 2603, 2602, 2612, 2613, 2571, 2570, 2575, 2574, 2587, 2586, 2615, 2614, 2566, 2567, 2560, 2561, 2594, 2595, - 2582, 2583, 2588, 2589, 2593, 2592, 2616, 2617, 2606, 2607, 2576, 2577, 2573, 2572, 2562, 2563, 2605, 2604, 2618, 2619, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, - 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, - 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 2774, 2775, 2770, 2771, 2761, 2760, - 2758, 2759, 2791, 2790, 2813, 2812, 2814, 2815, 2798, 2799 -] -private def clayworthGen1Fwd_chunk5 : Array (Fin 4032) := #[ - 2808, 2809, 2780, 2781, 2783, 2782, 2777, 2776, 2753, 2752, 2792, 2793, 2754, 2755, 2797, 2796, 2765, 2764, 2763, 2762, 2769, 2768, 2756, 2757, 2795, 2794, 2779, 2778, 2772, 2773, - 2803, 2802, 2800, 2801, 2767, 2766, 2810, 2811, 2805, 2804, 2789, 2788, 2807, 2806, 2786, 2787, 2785, 2784, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, - 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, - 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, - 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, - 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 1906, 1907, 1890, 1891, - 1905, 1904, 1888, 1889, 1913, 1912, 1859, 1858, 1864, 1865, 1886, 1887, 1866, 1867, 1857, 1856, 1869, 1868, 1871, 1870, 1914, 1915, 1909, 1908, 1898, 1899, 1892, 1893, 1917, 1916, - 1873, 1872, 1879, 1878, 1885, 1884, 1875, 1874, 1918, 1919, 1910, 1911, 1863, 1862, 1880, 1881, 1896, 1897, 1901, 1900, 1882, 1883, 1876, 1877, 1861, 1860, 1902, 1903, 1895, 1894, - 3378, 3379, 3362, 3363, 3377, 3376, 3360, 3361, 3385, 3384, 3331, 3330, 3336, 3337, 3358, 3359, 3338, 3339, 3329, 3328, 3341, 3340, 3343, 3342, 3386, 3387, 3381, 3380, 3370, 3371, - 3364, 3365, 3389, 3388, 3345, 3344, 3351, 3350, 3357, 3356, 3347, 3346, 3390, 3391, 3382, 3383, 3335, 3334, 3352, 3353, 3368, 3369, 3373, 3372, 3354, 3355, 3348, 3349, 3333, 3332, - 3374, 3375, 3367, 3366, 2104, 2105, 2075, 2074, 2080, 2081, 2063, 2062, 2060, 2061, 2111, 2110, 2089, 2088, 2059, 2058, 2052, 2053, 2056, 2057, 2098, 2099, 2097, 2096, 2050, 2051, - 2095, 2094, 2082, 2083, 2103, 2102, 2092, 2093, 2084, 2085, 2108, 2109, 2101, 2100, 2067, 2066, 2106, 2107, 2064, 2065, 2072, 2073, 2087, 2086, 2048, 2049, 2071, 2070, 2091, 2090, - 2068, 2069, 2078, 2079, 2076, 2077, 2055, 2054, 3189, 3188, 3177, 3176, 3155, 3154, 3199, 3198, 3184, 3185, 3173, 3172, 3147, 3146, 3163, 3162, 3136, 3137, 3196, 3197, 3195, 3194, - 3183, 3182, 3187, 3186, 3149, 3148, 3160, 3161, 3169, 3168 -] -private def clayworthGen1Fwd_chunk6 : Array (Fin 4032) := #[ - 3145, 3144, 3150, 3151, 3181, 3180, 3152, 3153, 3190, 3191, 3138, 3139, 3192, 3193, 3157, 3156, 3159, 3158, 3142, 3143, 3178, 3179, 3174, 3175, 3171, 3170, 3166, 3167, 3164, 3165, - 3141, 3140, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, - 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, - 3770, 3771, 3772, 3773, 3774, 3775, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, - 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, - 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 2226, 2227, 2200, 2201, 2192, 2193, 2239, 2238, 2194, 2195, 2191, 2190, 2184, 2185, 2183, 2182, 2220, 2221, 2217, 2216, - 2232, 2233, 2229, 2228, 2222, 2223, 2179, 2178, 2236, 2237, 2234, 2235, 2180, 2181, 2204, 2205, 2210, 2211, 2225, 2224, 2189, 2188, 2231, 2230, 2208, 2209, 2203, 2202, 2199, 2198, - 2196, 2197, 2215, 2214, 2207, 2206, 2176, 2177, 2218, 2219, 2212, 2213, 2187, 2186, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, - 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, - 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, - 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, - 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, - 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, - 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887 -] -private def clayworthGen1Fwd_chunk7 : Array (Fin 4032) := #[ - 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, - 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, - 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 3094, 3095, 3090, 3091, 3081, 3080, 3078, 3079, 3111, 3110, - 3133, 3132, 3134, 3135, 3118, 3119, 3128, 3129, 3100, 3101, 3103, 3102, 3097, 3096, 3073, 3072, 3112, 3113, 3074, 3075, 3117, 3116, 3085, 3084, 3083, 3082, 3089, 3088, 3076, 3077, - 3115, 3114, 3099, 3098, 3092, 3093, 3123, 3122, 3120, 3121, 3087, 3086, 3130, 3131, 3125, 3124, 3109, 3108, 3127, 3126, 3106, 3107, 3105, 3104, 3469, 3468, 3498, 3499, 3471, 3470, - 3505, 3504, 3507, 3506, 3515, 3514, 3457, 3456, 3461, 3460, 3487, 3486, 3497, 3496, 3512, 3513, 3488, 3489, 3518, 3519, 3485, 3484, 3483, 3482, 3473, 3472, 3478, 3479, 3511, 3510, - 3501, 3500, 3503, 3502, 3475, 3474, 3458, 3459, 3493, 3492, 3495, 3494, 3463, 3462, 3465, 3464, 3516, 3517, 3491, 3490, 3476, 3477, 3467, 3466, 3508, 3509, 3480, 3481, 3434, 3435, - 3405, 3404, 3433, 3432, 3419, 3418, 3414, 3415, 3437, 3436, 3429, 3428, 3446, 3447, 3410, 3411, 3407, 3406, 3431, 3430, 3403, 3402, 3401, 3400, 3413, 3412, 3441, 3440, 3398, 3399, - 3443, 3442, 3396, 3397, 3451, 3450, 3426, 3427, 3422, 3423, 3453, 3452, 3393, 3392, 3448, 3449, 3408, 3409, 3454, 3455, 3395, 3394, 3438, 3439, 3420, 3421, 3424, 3425, 3417, 3416, - 3445, 3444, 1369, 1368, 1372, 1373, 1382, 1383, 1350, 1351, 1349, 1348, 1379, 1378, 1377, 1376, 1395, 1394, 1381, 1380, 1346, 1347, 1388, 1389, 1344, 1345, 1367, 1366, 1387, 1386, - 1362, 1363, 1365, 1364, 1407, 1406, 1404, 1405, 1401, 1400, 1353, 1352, 1370, 1371, 1385, 1384, 1375, 1374, 1358, 1359, 1392, 1393, 1391, 1390, 1399, 1398, 1403, 1402, 1360, 1361, - 1396, 1397, 1355, 1354, 1356, 1357, 1225, 1224, 1278, 1279, 1247, 1246, 1241, 1240, 1257, 1256, 1220, 1221, 1267, 1266, 1264, 1265, 1253, 1252, 1234, 1235, 1236, 1237, 1277, 1276, - 1255, 1254, 1259, 1258, 1268, 1269, 1227, 1226, 1231, 1230, 1243, 1242, 1271, 1270, 1222, 1223, 1216, 1217, 1250, 1251, 1238, 1239, 1244, 1245, 1249, 1248, 1272, 1273, 1262, 1263, - 1232, 1233, 1229, 1228, 1218, 1219, 1261, 1260, 1274, 1275 -] -private def clayworthGen1Fwd_chunk8 : Array (Fin 4032) := #[ - 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, - 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, - 700, 701, 702, 703, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, - 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, - 824, 825, 826, 827, 828, 829, 830, 831, 979, 978, 971, 970, 1019, 1018, 1007, 1006, 972, 973, 976, 977, 981, 980, 983, 982, 995, 994, 1001, 1000, 1016, 1017, - 997, 996, 1008, 1009, 1014, 1015, 999, 998, 974, 975, 966, 967, 962, 963, 990, 991, 1023, 1022, 1010, 1011, 988, 989, 1013, 1012, 1020, 1021, 965, 964, 960, 961, - 987, 986, 1004, 1005, 969, 968, 984, 985, 993, 992, 1002, 1003, 3948, 3949, 3922, 3923, 3904, 3905, 3942, 3943, 3928, 3929, 3926, 3927, 3906, 3907, 3956, 3957, 3954, 3955, - 3950, 3951, 3908, 3909, 3910, 3911, 3945, 3944, 3913, 3912, 3962, 3963, 3964, 3965, 3960, 3961, 3934, 3935, 3959, 3958, 3914, 3915, 3930, 3931, 3938, 3939, 3924, 3925, 3916, 3917, - 3918, 3919, 3936, 3937, 3966, 3967, 3933, 3932, 3920, 3921, 3940, 3941, 3946, 3947, 3952, 3953, 3672, 3673, 3663, 3662, 3678, 3679, 3656, 3657, 3674, 3675, 3649, 3648, 3680, 3681, - 3697, 3696, 3684, 3685, 3651, 3650, 3693, 3692, 3682, 3683, 3670, 3671, 3690, 3691, 3701, 3700, 3658, 3659, 3710, 3711, 3688, 3689, 3707, 3706, 3655, 3654, 3653, 3652, 3709, 3708, - 3687, 3686, 3677, 3676, 3698, 3699, 3665, 3664, 3661, 3660, 3705, 3704, 3694, 3695, 3667, 3666, 3668, 3669, 3702, 3703, 2354, 2355, 2328, 2329, 2320, 2321, 2367, 2366, 2322, 2323, - 2319, 2318, 2312, 2313, 2311, 2310, 2348, 2349, 2345, 2344, 2360, 2361, 2357, 2356, 2350, 2351, 2307, 2306, 2364, 2365, 2362, 2363, 2308, 2309, 2332, 2333, 2338, 2339, 2353, 2352, - 2317, 2316, 2359, 2358, 2336, 2337, 2331, 2330, 2327, 2326, 2324, 2325, 2343, 2342, 2335, 2334, 2304, 2305, 2346, 2347, 2340, 2341, 2315, 2314, 1575, 1574, 1539, 1538, 1560, 1561, - 1543, 1542, 1558, 1559, 1570, 1571, 1551, 1550, 1549, 1548 -] -private def clayworthGen1Fwd_chunk9 : Array (Fin 4032) := #[ - 1553, 1552, 1565, 1564, 1566, 1567, 1544, 1545, 1540, 1541, 1563, 1562, 1555, 1554, 1556, 1557, 1582, 1583, 1546, 1547, 1592, 1593, 1537, 1536, 1578, 1579, 1576, 1577, 1581, 1580, - 1568, 1569, 1585, 1584, 1598, 1599, 1590, 1591, 1588, 1589, 1572, 1573, 1595, 1594, 1597, 1596, 1586, 1587, 3002, 3003, 2984, 2985, 2962, 2963, 2990, 2991, 2993, 2992, 2961, 2960, - 3005, 3004, 2987, 2986, 2952, 2953, 2954, 2955, 2996, 2997, 3006, 3007, 2957, 2956, 2995, 2994, 2982, 2983, 2959, 2958, 2945, 2944, 2976, 2977, 2975, 2974, 2980, 2981, 2999, 2998, - 2973, 2972, 3001, 3000, 2964, 2965, 2948, 2949, 2951, 2950, 2970, 2971, 2968, 2969, 2978, 2979, 2988, 2989, 2947, 2946, 2966, 2967, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, - 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, - 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1152, 1153, 1154, 1155, - 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, - 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, - 2009, 2008, 2012, 2013, 2022, 2023, 1990, 1991, 1989, 1988, 2019, 2018, 2017, 2016, 2035, 2034, 2021, 2020, 1986, 1987, 2028, 2029, 1984, 1985, 2007, 2006, 2027, 2026, 2002, 2003, - 2005, 2004, 2047, 2046, 2044, 2045, 2041, 2040, 1993, 1992, 2010, 2011, 2025, 2024, 2015, 2014, 1998, 1999, 2032, 2033, 2031, 2030, 2039, 2038, 2043, 2042, 2000, 2001, 2036, 2037, - 1995, 1994, 1996, 1997, 3042, 3043, 3011, 3010, 3035, 3034, 3016, 3017, 3014, 3015, 3029, 3028, 3062, 3063, 3037, 3036, 3054, 3055, 3061, 3060, 3019, 3018, 3031, 3030, 3033, 3032, - 3013, 3012, 3023, 3022, 3046, 3047, 3041, 3040, 3008, 3009, 3045, 3044, 3038, 3039, 3068, 3069, 3051, 3050, 3053, 3052, 3024, 3025, 3058, 3059, 3056, 3057, 3027, 3026, 3020, 3021, - 3066, 3067, 3064, 3065, 3048, 3049, 3071, 3070, 1487, 1486, 1483, 1482, 1521, 1520, 1485, 1484, 1508, 1509, 1491, 1490, 1511, 1510, 1517, 1516, 1533, 1532, 1495, 1494, 1535, 1534, - 1519, 1518, 1527, 1526, 1531, 1530, 1499, 1498, 1489, 1488 -] -private def clayworthGen1Fwd_chunk10 : Array (Fin 4032) := #[ - 1507, 1506, 1529, 1528, 1496, 1497, 1475, 1474, 1501, 1500, 1505, 1504, 1525, 1524, 1479, 1478, 1473, 1472, 1515, 1514, 1493, 1492, 1512, 1513, 1503, 1502, 1480, 1481, 1523, 1522, - 1477, 1476 -] -private def clayworthGen1Fwd : Array (Fin 4032) := - clayworthGen1Fwd_chunk0 ++ clayworthGen1Fwd_chunk1 ++ clayworthGen1Fwd_chunk2 ++ clayworthGen1Fwd_chunk3 ++ clayworthGen1Fwd_chunk4 ++ clayworthGen1Fwd_chunk5 ++ clayworthGen1Fwd_chunk6 ++ clayworthGen1Fwd_chunk7 ++ clayworthGen1Fwd_chunk8 ++ clayworthGen1Fwd_chunk9 ++ clayworthGen1Fwd_chunk10 -private theorem clayworthGen1Fwd_size : clayworthGen1Fwd.size = 4032 := by native_decide - -private def clayworthGen1Inv_chunk0 : Array (Fin 4032) := #[ - 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, - 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, - 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, - 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, - 56, 57, 58, 59, 60, 61, 62, 63, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, - 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, - 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, - 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, - 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, - 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, - 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, - 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, - 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 128, 129, 130, 131, 132, 133, - 134, 135, 136, 137, 138, 139, 140, 141, 142, 143 -] -private def clayworthGen1Inv_chunk1 : Array (Fin 4032) := #[ - 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, - 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, - 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, - 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, - 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, - 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 1773, 1772, 1781, 1780, - 1762, 1763, 1758, 1759, 1753, 1752, 1751, 1750, 1731, 1730, 1747, 1746, 1776, 1777, 1744, 1745, 1755, 1754, 1736, 1737, 1789, 1788, 1735, 1734, 1784, 1785, 1768, 1769, 1786, 1787, - 1766, 1767, 1741, 1740, 1749, 1748, 1733, 1732, 1728, 1729, 1739, 1738, 1782, 1783, 1757, 1756, 1761, 1760, 1791, 1790, 1742, 1743, 1774, 1775, 1765, 1764, 1771, 1770, 1778, 1779, - 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, - 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, - 3260, 3261, 3262, 3263, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, - 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, - 312, 313, 314, 315, 316, 317, 318, 319, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, - 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295 -] -private def clayworthGen1Inv_chunk2 : Array (Fin 4032) := #[ - 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, - 3326, 3327, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, - 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, - 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, - 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, - 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 3378, 3379, 3362, 3363, 3377, 3376, 3360, 3361, 3385, 3384, 3331, 3330, 3336, 3337, 3358, 3359, 3338, 3339, 3329, 3328, - 3341, 3340, 3343, 3342, 3386, 3387, 3381, 3380, 3370, 3371, 3364, 3365, 3389, 3388, 3345, 3344, 3351, 3350, 3357, 3356, 3347, 3346, 3390, 3391, 3382, 3383, 3335, 3334, 3352, 3353, - 3368, 3369, 3373, 3372, 3354, 3355, 3348, 3349, 3333, 3332, 3374, 3375, 3367, 3366, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, - 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, - 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, - 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, - 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, - 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, - 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823 -] -private def clayworthGen1Inv_chunk3 : Array (Fin 4032) := #[ - 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3176, 3177, 3194, 3195, 3146, 3147, 3174, 3175, 3137, 3136, 3167, 3166, 3193, 3192, - 3169, 3168, 3190, 3191, 3154, 3155, 3156, 3157, 3180, 3181, 3143, 3142, 3171, 3170, 3182, 3183, 3141, 3140, 3185, 3184, 3178, 3179, 3153, 3152, 3161, 3160, 3145, 3144, 3163, 3162, - 3197, 3196, 3188, 3189, 3150, 3151, 3149, 3148, 3164, 3165, 3173, 3172, 3186, 3187, 3198, 3199, 3159, 3158, 3138, 3139, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, - 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, - 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 3094, 3095, 3090, 3091, 3081, 3080, - 3078, 3079, 3111, 3110, 3133, 3132, 3134, 3135, 3118, 3119, 3128, 3129, 3100, 3101, 3103, 3102, 3097, 3096, 3073, 3072, 3112, 3113, 3074, 3075, 3117, 3116, 3085, 3084, 3083, 3082, - 3089, 3088, 3076, 3077, 3115, 3114, 3099, 3098, 3092, 3093, 3123, 3122, 3120, 3121, 3087, 3086, 3130, 3131, 3125, 3124, 3109, 3108, 3127, 3126, 3106, 3107, 3105, 3104, 576, 577, - 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, - 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, - 638, 639, 4017, 4016, 4007, 4006, 4031, 4030, 4015, 4014, 4026, 4027, 3971, 3970, 3975, 3974, 3969, 3968, 3999, 3998, 3979, 3978, 4021, 4020, 3987, 3986, 4004, 4005, 3997, 3996, - 4009, 4008, 4025, 4024, 4011, 4010, 4001, 4000, 3976, 3977, 3981, 3980, 4022, 4023, 4019, 4018, 3983, 3982, 3991, 3990, 3973, 3972, 4029, 4028, 4013, 4012, 3993, 3992, 4003, 4002, - 3995, 3994, 3985, 3984, 3989, 3988, 3623, 3622, 3587, 3586, 3608, 3609, 3591, 3590, 3606, 3607, 3618, 3619, 3599, 3598, 3597, 3596, 3601, 3600, 3613, 3612, 3614, 3615, 3592, 3593, - 3588, 3589, 3611, 3610, 3603, 3602, 3604, 3605, 3630, 3631, 3594, 3595, 3640, 3641, 3585, 3584, 3626, 3627, 3624, 3625, 3629, 3628, 3616, 3617, 3633, 3632, 3646, 3647, 3638, 3639, - 3636, 3637, 3620, 3621, 3643, 3642, 3645, 3644, 3634, 3635 -] -private def clayworthGen1Inv_chunk4 : Array (Fin 4032) := #[ - 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, - 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, - 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, - 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, - 760, 761, 762, 763, 764, 765, 766, 767, 1450, 1451, 1421, 1420, 1449, 1448, 1435, 1434, 1430, 1431, 1453, 1452, 1445, 1444, 1462, 1463, 1426, 1427, 1423, 1422, 1447, 1446, - 1419, 1418, 1417, 1416, 1429, 1428, 1457, 1456, 1414, 1415, 1459, 1458, 1412, 1413, 1467, 1466, 1442, 1443, 1438, 1439, 1469, 1468, 1409, 1408, 1464, 1465, 1424, 1425, 1470, 1471, - 1411, 1410, 1454, 1455, 1436, 1437, 1440, 1441, 1433, 1432, 1461, 1460, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, - 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, - 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 2195, 2194, 2187, 2186, 2235, 2234, 2223, 2222, 2188, 2189, 2192, 2193, 2197, 2196, - 2199, 2198, 2211, 2210, 2217, 2216, 2232, 2233, 2213, 2212, 2224, 2225, 2230, 2231, 2215, 2214, 2190, 2191, 2182, 2183, 2178, 2179, 2206, 2207, 2239, 2238, 2226, 2227, 2204, 2205, - 2229, 2228, 2236, 2237, 2181, 2180, 2176, 2177, 2203, 2202, 2220, 2221, 2185, 2184, 2200, 2201, 2209, 2208, 2218, 2219, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, - 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, - 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 3862, 3863, 3858, 3859, 3849, 3848, - 3846, 3847, 3879, 3878, 3901, 3900, 3902, 3903, 3886, 3887 -] -private def clayworthGen1Inv_chunk5 : Array (Fin 4032) := #[ - 3896, 3897, 3868, 3869, 3871, 3870, 3865, 3864, 3841, 3840, 3880, 3881, 3842, 3843, 3885, 3884, 3853, 3852, 3851, 3850, 3857, 3856, 3844, 3845, 3883, 3882, 3867, 3866, 3860, 3861, - 3891, 3890, 3888, 3889, 3855, 3854, 3898, 3899, 3893, 3892, 3877, 3876, 3895, 3894, 3874, 3875, 3873, 3872, 2354, 2355, 2328, 2329, 2320, 2321, 2367, 2366, 2322, 2323, 2319, 2318, - 2312, 2313, 2311, 2310, 2348, 2349, 2345, 2344, 2360, 2361, 2357, 2356, 2350, 2351, 2307, 2306, 2364, 2365, 2362, 2363, 2308, 2309, 2332, 2333, 2338, 2339, 2353, 2352, 2317, 2316, - 2359, 2358, 2336, 2337, 2331, 2330, 2327, 2326, 2324, 2325, 2343, 2342, 2335, 2334, 2304, 2305, 2346, 2347, 2340, 2341, 2315, 2314, 1575, 1574, 1539, 1538, 1560, 1561, 1543, 1542, - 1558, 1559, 1570, 1571, 1551, 1550, 1549, 1548, 1553, 1552, 1565, 1564, 1566, 1567, 1544, 1545, 1540, 1541, 1563, 1562, 1555, 1554, 1556, 1557, 1582, 1583, 1546, 1547, 1592, 1593, - 1537, 1536, 1578, 1579, 1576, 1577, 1581, 1580, 1568, 1569, 1585, 1584, 1598, 1599, 1590, 1591, 1588, 1589, 1572, 1573, 1595, 1594, 1597, 1596, 1586, 1587, 2616, 2617, 2587, 2586, - 2592, 2593, 2575, 2574, 2572, 2573, 2623, 2622, 2601, 2600, 2571, 2570, 2564, 2565, 2568, 2569, 2610, 2611, 2609, 2608, 2562, 2563, 2607, 2606, 2594, 2595, 2615, 2614, 2604, 2605, - 2596, 2597, 2620, 2621, 2613, 2612, 2579, 2578, 2618, 2619, 2576, 2577, 2584, 2585, 2599, 2598, 2560, 2561, 2583, 2582, 2603, 2602, 2580, 2581, 2590, 2591, 2588, 2589, 2567, 2566, - 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, - 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, - 1020, 1021, 1022, 1023, 3576, 3577, 3547, 3546, 3552, 3553, 3535, 3534, 3532, 3533, 3583, 3582, 3561, 3560, 3531, 3530, 3524, 3525, 3528, 3529, 3570, 3571, 3569, 3568, 3522, 3523, - 3567, 3566, 3554, 3555, 3575, 3574, 3564, 3565, 3556, 3557, 3580, 3581, 3573, 3572, 3539, 3538, 3578, 3579, 3536, 3537, 3544, 3545, 3559, 3558, 3520, 3521, 3543, 3542, 3563, 3562, - 3540, 3541, 3550, 3551, 3548, 3549, 3527, 3526, 1263, 1262, 1217, 1216, 1235, 1234, 1275, 1274, 1249, 1248, 1270, 1271, 1221, 1220, 1258, 1259, 1225, 1224, 1261, 1260, 1219, 1218, - 1245, 1244, 1273, 1272, 1266, 1267, 1255, 1254, 1230, 1231 -] -private def clayworthGen1Inv_chunk6 : Array (Fin 4032) := #[ - 1256, 1257, 1264, 1265, 1239, 1238, 1253, 1252, 1232, 1233, 1278, 1279, 1229, 1228, 1237, 1236, 1276, 1277, 1241, 1240, 1250, 1251, 1222, 1223, 1242, 1243, 1227, 1226, 1268, 1269, - 1246, 1247, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, - 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, - 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, - 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, - 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1896, 1897, 1914, 1915, 1866, 1867, 1894, 1895, 1857, 1856, 1887, 1886, 1913, 1912, 1889, 1888, 1910, 1911, 1874, 1875, - 1876, 1877, 1900, 1901, 1863, 1862, 1891, 1890, 1902, 1903, 1861, 1860, 1905, 1904, 1898, 1899, 1873, 1872, 1881, 1880, 1865, 1864, 1883, 1882, 1917, 1916, 1908, 1909, 1870, 1871, - 1869, 1868, 1884, 1885, 1893, 1892, 1906, 1907, 1918, 1919, 1879, 1878, 1858, 1859, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, - 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, - 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, - 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, - 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 2009, 2008, 2012, 2013, 2022, 2023, 1990, 1991, - 1989, 1988, 2019, 2018, 2017, 2016, 2035, 2034, 2021, 2020, 1986, 1987, 2028, 2029, 1984, 1985, 2007, 2006, 2027, 2026, 2002, 2003, 2005, 2004, 2047, 2046, 2044, 2045, 2041, 2040, - 1993, 1992, 2010, 2011, 2025, 2024, 2015, 2014, 1998, 1999 -] -private def clayworthGen1Inv_chunk7 : Array (Fin 4032) := #[ - 2032, 2033, 2031, 2030, 2039, 2038, 2043, 2042, 2000, 2001, 2036, 2037, 1995, 1994, 1996, 1997, 1487, 1486, 1483, 1482, 1521, 1520, 1485, 1484, 1508, 1509, 1491, 1490, 1511, 1510, - 1517, 1516, 1533, 1532, 1495, 1494, 1535, 1534, 1519, 1518, 1527, 1526, 1531, 1530, 1499, 1498, 1489, 1488, 1507, 1506, 1529, 1528, 1496, 1497, 1475, 1474, 1501, 1500, 1505, 1504, - 1525, 1524, 1479, 1478, 1473, 1472, 1515, 1514, 1493, 1492, 1512, 1513, 1503, 1502, 1480, 1481, 1523, 1522, 1477, 1476, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, - 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, - 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 3681, 3680, 3709, 3708, 3696, 3697, - 3699, 3698, 3664, 3665, 3666, 3667, 3673, 3672, 3679, 3678, 3659, 3658, 3652, 3653, 3694, 3695, 3710, 3711, 3702, 3703, 3700, 3701, 3691, 3690, 3685, 3684, 3682, 3683, 3704, 3705, - 3686, 3687, 3676, 3677, 3650, 3651, 3663, 3662, 3706, 3707, 3654, 3655, 3657, 3656, 3675, 3674, 3668, 3669, 3689, 3688, 3693, 3692, 3648, 3649, 3661, 3660, 3670, 3671, 3938, 3939, - 3907, 3906, 3931, 3930, 3912, 3913, 3910, 3911, 3925, 3924, 3958, 3959, 3933, 3932, 3950, 3951, 3957, 3956, 3915, 3914, 3927, 3926, 3929, 3928, 3909, 3908, 3919, 3918, 3942, 3943, - 3937, 3936, 3904, 3905, 3941, 3940, 3934, 3935, 3964, 3965, 3947, 3946, 3949, 3948, 3920, 3921, 3954, 3955, 3952, 3953, 3923, 3922, 3916, 3917, 3962, 3963, 3960, 3961, 3944, 3945, - 3967, 3966, 2905, 2904, 2908, 2909, 2918, 2919, 2886, 2887, 2885, 2884, 2915, 2914, 2913, 2912, 2931, 2930, 2917, 2916, 2882, 2883, 2924, 2925, 2880, 2881, 2903, 2902, 2923, 2922, - 2898, 2899, 2901, 2900, 2943, 2942, 2940, 2941, 2937, 2936, 2889, 2888, 2906, 2907, 2921, 2920, 2911, 2910, 2894, 2895, 2928, 2929, 2927, 2926, 2935, 2934, 2939, 2938, 2896, 2897, - 2932, 2933, 2891, 2890, 2892, 2893, 2384, 2385, 2410, 2411, 2431, 2430, 2418, 2419, 2401, 2400, 2381, 2380, 2395, 2394, 2402, 2403, 2406, 2407, 2373, 2372, 2415, 2414, 2417, 2416, - 2396, 2397, 2383, 2382, 2428, 2429, 2426, 2427, 2399, 2398, 2425, 2424, 2379, 2378, 2422, 2423, 2371, 2370, 2420, 2421, 2405, 2404, 2391, 2390, 2376, 2377, 2393, 2392, 2369, 2368, - 2408, 2409, 2412, 2413, 2389, 2388, 2386, 2387, 2375, 2374 -] -private def clayworthGen1Inv_chunk8 : Array (Fin 4032) := #[ - 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, - 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, - 1660, 1661, 1662, 1663, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, - 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, - 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 2259, 2258, 2251, 2250, 2299, 2298, 2287, 2286, 2252, 2253, 2256, 2257, 2261, 2260, 2263, 2262, 2275, 2274, 2281, 2280, 2296, 2297, - 2277, 2276, 2288, 2289, 2294, 2295, 2279, 2278, 2254, 2255, 2246, 2247, 2242, 2243, 2270, 2271, 2303, 2302, 2290, 2291, 2268, 2269, 2293, 2292, 2300, 2301, 2245, 2244, 2240, 2241, - 2267, 2266, 2284, 2285, 2249, 2248, 2264, 2265, 2273, 2272, 2282, 2283, 3053, 3052, 3061, 3060, 3042, 3043, 3038, 3039, 3033, 3032, 3031, 3030, 3011, 3010, 3027, 3026, 3056, 3057, - 3024, 3025, 3035, 3034, 3016, 3017, 3069, 3068, 3015, 3014, 3064, 3065, 3048, 3049, 3066, 3067, 3046, 3047, 3021, 3020, 3029, 3028, 3013, 3012, 3008, 3009, 3019, 3018, 3062, 3063, - 3037, 3036, 3041, 3040, 3071, 3070, 3022, 3023, 3054, 3055, 3045, 3044, 3051, 3050, 3058, 3059, 2957, 2956, 2986, 2987, 2959, 2958, 2993, 2992, 2995, 2994, 3003, 3002, 2945, 2944, - 2949, 2948, 2975, 2974, 2985, 2984, 3000, 3001, 2976, 2977, 3006, 3007, 2973, 2972, 2971, 2970, 2961, 2960, 2966, 2967, 2999, 2998, 2989, 2988, 2991, 2990, 2963, 2962, 2946, 2947, - 2981, 2980, 2983, 2982, 2951, 2950, 2953, 2952, 3004, 3005, 2979, 2978, 2964, 2965, 2955, 2954, 2996, 2997, 2968, 2969, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, - 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, - 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, - 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127 -] -private def clayworthGen1Inv_chunk9 : Array (Fin 4032) := #[ - 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, - 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 3467, 3466, 3475, 3474, 3497, 3496, 3495, 3494, 3462, 3463, 3486, 3487, - 3509, 3508, 3459, 3458, 3507, 3506, 3515, 3514, 3516, 3517, 3480, 3481, 3456, 3457, 3464, 3465, 3503, 3502, 3460, 3461, 3468, 3469, 3478, 3479, 3472, 3473, 3501, 3500, 3490, 3491, - 3482, 3483, 3477, 3476, 3512, 3513, 3471, 3470, 3504, 3505, 3485, 3484, 3518, 3519, 3511, 3510, 3493, 3492, 3499, 3498, 3488, 3489, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, - 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, - 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2624, 2625, 2626, 2627, - 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, - 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, - 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, - 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, - 2812, 2813, 2814, 2815, 3396, 3397, 3404, 3405, 3412, 3413, 3414, 3415, 3419, 3418, 3430, 3431, 3438, 3439, 3440, 3441, 3448, 3449, 3394, 3395, 3436, 3437, 3402, 3403, 3400, 3401, - 3432, 3433, 3447, 3446, 3426, 3427, 3442, 3443, 3434, 3435, 3450, 3451, 3398, 3399, 3417, 3416, 3452, 3453, 3392, 3393, 3410, 3411, 3454, 3455, 3408, 3409, 3406, 3407, 3429, 3428, - 3424, 3425, 3420, 3421, 3422, 3423, 3444, 3445, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, - 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847 -] -private def clayworthGen1Inv_chunk10 : Array (Fin 4032) := #[ - 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, - 2878, 2879 -] -private def clayworthGen1Inv : Array (Fin 4032) := - clayworthGen1Inv_chunk0 ++ clayworthGen1Inv_chunk1 ++ clayworthGen1Inv_chunk2 ++ clayworthGen1Inv_chunk3 ++ clayworthGen1Inv_chunk4 ++ clayworthGen1Inv_chunk5 ++ clayworthGen1Inv_chunk6 ++ clayworthGen1Inv_chunk7 ++ clayworthGen1Inv_chunk8 ++ clayworthGen1Inv_chunk9 ++ clayworthGen1Inv_chunk10 -private theorem clayworthGen1Inv_size : clayworthGen1Inv.size = 4032 := by native_decide - -private def clayworthGen2Fwd_chunk0 : Array (Fin 4032) := #[ - 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, - 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, - 572, 573, 574, 575, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, - 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, - 824, 825, 826, 827, 828, 829, 830, 831, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, - 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, - 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, - 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, - 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 373, 372, 365, 364, 336, 337, 376, 377, 378, 379, 333, 332, 331, 330, - 359, 358, 324, 325, 354, 355, 374, 375, 357, 356, 353, 352, 367, 366, 350, 351, 348, 349, 345, 344, 338, 339, 343, 342, 335, 334, 369, 368, 382, 383, - 323, 322, 347, 346, 361, 360, 381, 380, 321, 320, 340, 341, 326, 327, 328, 329, 371, 370, 362, 363, 303, 302, 257, 256, 275, 274, 315, 314, 289, 288, - 310, 311, 261, 260, 298, 299, 265, 264, 301, 300, 259, 258, 285, 284, 313, 312, 306, 307, 295, 294, 270, 271, 296, 297, 304, 305, 279, 278, 293, 292, - 272, 273, 318, 319, 269, 268, 277, 276, 316, 317, 281, 280, 290, 291, 262, 263, 282, 283, 267, 266, 308, 309, 286, 287, 2368, 2369, 2370, 2371, 2372, 2373, - 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383 -] -private def clayworthGen2Fwd_chunk1 : Array (Fin 4032) := #[ - 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, - 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 1214, 1215, 1162, 1163, 1200, 1201, 1198, 1199, 1189, 1188, 1154, 1155, - 1174, 1175, 1172, 1173, 1186, 1187, 1190, 1191, 1166, 1167, 1164, 1165, 1211, 1210, 1207, 1206, 1192, 1193, 1208, 1209, 1212, 1213, 1168, 1169, 1161, 1160, 1170, 1171, 1180, 1181, - 1202, 1203, 1204, 1205, 1158, 1159, 1156, 1157, 1194, 1195, 1196, 1197, 1179, 1178, 1182, 1183, 1177, 1176, 1184, 1185, 1152, 1153, 1674, 1675, 1726, 1727, 1702, 1703, 1704, 1705, - 1724, 1725, 1673, 1672, 1716, 1717, 1681, 1680, 1693, 1692, 1712, 1713, 1670, 1671, 1689, 1688, 1706, 1707, 1695, 1694, 1710, 1711, 1669, 1668, 1701, 1700, 1685, 1684, 1666, 1667, - 1690, 1691, 1699, 1698, 1709, 1708, 1686, 1687, 1678, 1679, 1721, 1720, 1723, 1722, 1715, 1714, 1683, 1682, 1718, 1719, 1676, 1677, 1665, 1664, 1697, 1696, 3072, 3073, 3074, 3075, - 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, - 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, - 443, 442, 426, 427, 413, 412, 416, 417, 432, 433, 400, 401, 444, 445, 425, 424, 406, 407, 418, 419, 438, 439, 434, 435, 398, 399, 447, 446, 385, 384, - 396, 397, 422, 423, 430, 431, 405, 404, 440, 441, 437, 436, 402, 403, 421, 420, 414, 415, 408, 409, 390, 391, 411, 410, 388, 389, 394, 395, 429, 428, - 386, 387, 392, 393, 1778, 1779, 1762, 1763, 1777, 1776, 1760, 1761, 1785, 1784, 1731, 1730, 1736, 1737, 1758, 1759, 1738, 1739, 1729, 1728, 1741, 1740, 1743, 1742, 1786, 1787, - 1781, 1780, 1770, 1771, 1764, 1765, 1789, 1788, 1745, 1744, 1751, 1750, 1757, 1756, 1747, 1746, 1790, 1791, 1782, 1783, 1735, 1734, 1752, 1753, 1768, 1769, 1773, 1772, 1754, 1755, - 1748, 1749, 1733, 1732, 1774, 1775, 1767, 1766, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, - 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423 -] -private def clayworthGen2Fwd_chunk2 : Array (Fin 4032) := #[ - 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, - 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, - 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, - 3514, 3515, 3516, 3517, 3518, 3519, 3171, 3170, 3148, 3149, 3145, 3144, 3162, 3163, 3147, 3146, 3140, 3141, 3191, 3190, 3172, 3173, 3155, 3154, 3184, 3185, 3142, 3143, 3158, 3159, - 3177, 3176, 3156, 3157, 3150, 3151, 3175, 3174, 3192, 3193, 3181, 3180, 3164, 3165, 3179, 3178, 3197, 3196, 3166, 3167, 3136, 3137, 3187, 3186, 3153, 3152, 3189, 3188, 3182, 3183, - 3139, 3138, 3195, 3194, 3169, 3168, 3160, 3161, 3198, 3199, 3240, 3241, 3217, 3216, 3225, 3224, 3261, 3260, 3221, 3220, 3235, 3234, 3257, 3256, 3236, 3237, 3203, 3202, 3251, 3250, - 3209, 3208, 3231, 3230, 3205, 3204, 3244, 3245, 3262, 3263, 3223, 3222, 3247, 3246, 3211, 3210, 3214, 3215, 3243, 3242, 3200, 3201, 3239, 3238, 3226, 3227, 3233, 3232, 3258, 3259, - 3219, 3218, 3255, 3254, 3253, 3252, 3213, 3212, 3248, 3249, 3207, 3206, 3228, 3229, 223, 222, 194, 195, 217, 216, 201, 200, 215, 214, 192, 193, 220, 221, 247, 246, - 239, 238, 206, 207, 230, 231, 198, 199, 219, 218, 196, 197, 244, 245, 203, 202, 208, 209, 213, 212, 250, 251, 227, 226, 235, 234, 252, 253, 236, 237, - 225, 224, 243, 242, 255, 254, 204, 205, 211, 210, 229, 228, 249, 248, 233, 232, 240, 241, 2570, 2571, 2622, 2623, 2598, 2599, 2600, 2601, 2620, 2621, 2569, 2568, - 2612, 2613, 2577, 2576, 2589, 2588, 2608, 2609, 2566, 2567, 2585, 2584, 2602, 2603, 2591, 2590, 2606, 2607, 2565, 2564, 2597, 2596, 2581, 2580, 2562, 2563, 2586, 2587, 2595, 2594, - 2605, 2604, 2582, 2583, 2574, 2575, 2617, 2616, 2619, 2618, 2611, 2610, 2579, 2578, 2614, 2615, 2572, 2573, 2561, 2560, 2593, 2592, 2, 3, 0, 1, 18, 19, 28, 29, - 32, 33, 36, 37, 44, 45, 35, 34, 41, 40, 4, 5, 46, 47, 58, 59, 50, 51, 57, 56, 6, 7, 49, 48, 8, 9, 15, 14, 10, 11, - 55, 54, 17, 16, 53, 52, 12, 13, 20, 21 -] -private def clayworthGen2Fwd_chunk3 : Array (Fin 4032) := #[ - 31, 30, 24, 25, 43, 42, 39, 38, 27, 26, 22, 23, 63, 62, 61, 60, 3068, 3069, 3064, 3065, 3029, 3028, 3038, 3039, 3043, 3042, 3047, 3046, 3067, 3066, - 3040, 3041, 3020, 3021, 3061, 3060, 3019, 3018, 3053, 3052, 3017, 3016, 3009, 3008, 3024, 3025, 3034, 3035, 3059, 3058, 3051, 3050, 3055, 3054, 3032, 3033, 3015, 3014, 3012, 3013, - 3049, 3048, 3027, 3026, 3037, 3036, 3063, 3062, 3023, 3022, 3044, 3045, 3056, 3057, 3071, 3070, 3030, 3031, 3011, 3010, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, - 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, - 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 2988, 2989, 2999, 2998, 2954, 2955, - 2964, 2965, 2949, 2948, 2953, 2952, 2946, 2947, 2972, 2973, 2993, 2992, 2961, 2960, 2970, 2971, 2966, 2967, 3004, 3005, 2950, 2951, 2980, 2981, 2986, 2987, 3003, 3002, 2945, 2944, - 2958, 2959, 2975, 2974, 2969, 2968, 2983, 2982, 2979, 2978, 2996, 2997, 2962, 2963, 2991, 2990, 2995, 2994, 2957, 2956, 2976, 2977, 3001, 3000, 2985, 2984, 3006, 3007, 2458, 2459, - 2483, 2482, 2472, 2473, 2475, 2474, 2437, 2436, 2463, 2462, 2449, 2448, 2487, 2486, 2451, 2450, 2465, 2464, 2457, 2456, 2493, 2492, 2433, 2432, 2452, 2453, 2480, 2481, 2439, 2438, - 2445, 2444, 2455, 2454, 2484, 2485, 2467, 2466, 2476, 2477, 2443, 2442, 2441, 2440, 2489, 2488, 2468, 2469, 2479, 2478, 2460, 2461, 2495, 2494, 2435, 2434, 2446, 2447, 2471, 2470, - 2490, 2491, 2263, 2262, 2293, 2292, 2247, 2246, 2248, 2249, 2271, 2270, 2281, 2280, 2303, 2302, 2256, 2257, 2298, 2299, 2255, 2254, 2279, 2278, 2264, 2265, 2275, 2274, 2300, 2301, - 2243, 2242, 2284, 2285, 2295, 2294, 2260, 2261, 2287, 2286, 2267, 2266, 2282, 2283, 2244, 2245, 2251, 2250, 2289, 2288, 2290, 2291, 2268, 2269, 2296, 2297, 2258, 2259, 2276, 2277, - 2253, 2252, 2240, 2241, 2272, 2273, 2156, 2157, 2167, 2166, 2122, 2123, 2132, 2133, 2117, 2116, 2121, 2120, 2114, 2115, 2140, 2141, 2161, 2160, 2129, 2128, 2138, 2139, 2134, 2135, - 2172, 2173, 2118, 2119, 2148, 2149, 2154, 2155, 2171, 2170, 2113, 2112, 2126, 2127, 2143, 2142, 2137, 2136, 2151, 2150, 2147, 2146, 2164, 2165, 2130, 2131, 2159, 2158, 2163, 2162, - 2125, 2124, 2144, 2145, 2169, 2168, 2153, 2152, 2174, 2175 -] -private def clayworthGen2Fwd_chunk4 : Array (Fin 4032) := #[ - 620, 621, 594, 595, 576, 577, 614, 615, 600, 601, 598, 599, 578, 579, 628, 629, 626, 627, 622, 623, 580, 581, 582, 583, 617, 616, 585, 584, 634, 635, - 636, 637, 632, 633, 606, 607, 631, 630, 586, 587, 602, 603, 610, 611, 596, 597, 588, 589, 590, 591, 608, 609, 638, 639, 605, 604, 592, 593, 612, 613, - 618, 619, 624, 625, 3367, 3366, 3331, 3330, 3352, 3353, 3335, 3334, 3350, 3351, 3362, 3363, 3343, 3342, 3341, 3340, 3345, 3344, 3357, 3356, 3358, 3359, 3336, 3337, 3332, 3333, - 3355, 3354, 3347, 3346, 3348, 3349, 3374, 3375, 3338, 3339, 3384, 3385, 3329, 3328, 3370, 3371, 3368, 3369, 3373, 3372, 3360, 3361, 3377, 3376, 3390, 3391, 3382, 3383, 3380, 3381, - 3364, 3365, 3387, 3386, 3389, 3388, 3378, 3379, 2856, 2857, 2830, 2831, 2859, 2858, 2842, 2843, 2824, 2825, 2860, 2861, 2873, 2872, 2868, 2869, 2845, 2844, 2828, 2829, 2816, 2817, - 2851, 2850, 2839, 2838, 2847, 2846, 2864, 2865, 2823, 2822, 2879, 2878, 2840, 2841, 2874, 2875, 2826, 2827, 2836, 2837, 2876, 2877, 2854, 2855, 2852, 2853, 2833, 2832, 2866, 2867, - 2818, 2819, 2848, 2849, 2835, 2834, 2862, 2863, 2821, 2820, 2871, 2870, 1358, 1359, 1388, 1389, 1377, 1376, 1401, 1400, 1381, 1380, 1362, 1363, 1382, 1383, 1354, 1355, 1349, 1348, - 1375, 1374, 1372, 1373, 1402, 1403, 1360, 1361, 1390, 1391, 1379, 1378, 1398, 1399, 1371, 1370, 1357, 1356, 1350, 1351, 1396, 1397, 1406, 1407, 1393, 1392, 1346, 1347, 1369, 1368, - 1384, 1385, 1386, 1387, 1364, 1365, 1345, 1344, 1367, 1366, 1353, 1352, 1394, 1395, 1405, 1404, 1325, 1324, 1333, 1332, 1314, 1315, 1310, 1311, 1305, 1304, 1303, 1302, 1283, 1282, - 1299, 1298, 1328, 1329, 1296, 1297, 1307, 1306, 1288, 1289, 1341, 1340, 1287, 1286, 1336, 1337, 1320, 1321, 1338, 1339, 1318, 1319, 1293, 1292, 1301, 1300, 1285, 1284, 1280, 1281, - 1291, 1290, 1334, 1335, 1309, 1308, 1313, 1312, 1343, 1342, 1294, 1295, 1326, 1327, 1317, 1316, 1323, 1322, 1330, 1331, 1084, 1085, 1053, 1052, 1066, 1067, 1029, 1028, 1030, 1031, - 1069, 1068, 1083, 1082, 1043, 1042, 1038, 1039, 1078, 1079, 1058, 1059, 1025, 1024, 1046, 1047, 1063, 1062, 1074, 1075, 1033, 1032, 1086, 1087, 1049, 1048, 1080, 1081, 1045, 1044, - 1035, 1034, 1064, 1065, 1054, 1055, 1061, 1060, 1071, 1070, 1072, 1073, 1027, 1026, 1057, 1056, 1076, 1077, 1040, 1041, 1050, 1051, 1037, 1036, 1430, 1431, 1425, 1424, 1412, 1413, - 1428, 1429, 1438, 1439, 1448, 1449, 1470, 1471, 1460, 1461 -] -private def clayworthGen2Fwd_chunk5 : Array (Fin 4032) := #[ - 1440, 1441, 1444, 1445, 1451, 1450, 1469, 1468, 1453, 1452, 1433, 1432, 1463, 1462, 1442, 1443, 1411, 1410, 1416, 1417, 1456, 1457, 1418, 1419, 1446, 1447, 1415, 1414, 1434, 1435, - 1454, 1455, 1426, 1427, 1437, 1436, 1465, 1464, 1458, 1459, 1423, 1422, 1420, 1421, 1409, 1408, 1466, 1467, 129, 128, 175, 174, 173, 172, 167, 166, 168, 169, 151, 150, - 141, 140, 177, 176, 145, 144, 147, 146, 149, 148, 139, 138, 153, 152, 155, 154, 187, 186, 189, 188, 161, 160, 171, 170, 182, 183, 135, 134, 136, 137, - 163, 162, 133, 132, 131, 130, 143, 142, 185, 184, 191, 190, 164, 165, 179, 178, 157, 156, 159, 158, 181, 180, 2315, 2314, 2319, 2318, 2327, 2326, 2331, 2330, - 2339, 2338, 2328, 2329, 2357, 2356, 2360, 2361, 2332, 2333, 2353, 2352, 2311, 2310, 2312, 2313, 2347, 2346, 2334, 2335, 2317, 2316, 2304, 2305, 2340, 2341, 2348, 2349, 2323, 2322, - 2345, 2344, 2364, 2365, 2324, 2325, 2343, 2342, 2367, 2366, 2320, 2321, 2359, 2358, 2336, 2337, 2306, 2307, 2362, 2363, 2351, 2350, 2308, 2309, 2354, 2355, 3269, 3268, 3283, 3282, - 3265, 3264, 3271, 3270, 3289, 3288, 3275, 3274, 3311, 3310, 3327, 3326, 3321, 3320, 3267, 3266, 3309, 3308, 3303, 3302, 3273, 3272, 3305, 3304, 3293, 3292, 3295, 3294, 3315, 3314, - 3325, 3324, 3301, 3300, 3287, 3286, 3291, 3290, 3307, 3306, 3285, 3284, 3277, 3276, 3313, 3312, 3297, 3296, 3317, 3316, 3322, 3323, 3281, 3280, 3318, 3319, 3299, 3298, 3279, 3278, - 3727, 3726, 3723, 3722, 3761, 3760, 3725, 3724, 3748, 3749, 3731, 3730, 3751, 3750, 3757, 3756, 3773, 3772, 3735, 3734, 3775, 3774, 3759, 3758, 3767, 3766, 3771, 3770, 3739, 3738, - 3729, 3728, 3747, 3746, 3769, 3768, 3736, 3737, 3715, 3714, 3741, 3740, 3745, 3744, 3765, 3764, 3719, 3718, 3713, 3712, 3755, 3754, 3733, 3732, 3752, 3753, 3743, 3742, 3720, 3721, - 3763, 3762, 3717, 3716, 1958, 1959, 1972, 1973, 1926, 1927, 1945, 1944, 1950, 1951, 1946, 1947, 1934, 1935, 1977, 1976, 1974, 1975, 1982, 1983, 1942, 1943, 1929, 1928, 1980, 1981, - 1955, 1954, 1938, 1939, 1941, 1940, 1979, 1978, 1965, 1964, 1932, 1933, 1960, 1961, 1963, 1962, 1921, 1920, 1930, 1931, 1968, 1969, 1953, 1952, 1949, 1948, 1937, 1936, 1923, 1922, - 1957, 1956, 1966, 1967, 1925, 1924, 1971, 1970, 3690, 3691, 3661, 3660, 3689, 3688, 3675, 3674, 3670, 3671, 3693, 3692, 3685, 3684, 3702, 3703, 3666, 3667, 3663, 3662, 3687, 3686, - 3659, 3658, 3657, 3656, 3669, 3668, 3697, 3696, 3654, 3655 -] -private def clayworthGen2Fwd_chunk6 : Array (Fin 4032) := #[ - 3699, 3698, 3652, 3653, 3707, 3706, 3682, 3683, 3678, 3679, 3709, 3708, 3649, 3648, 3704, 3705, 3664, 3665, 3710, 3711, 3651, 3650, 3694, 3695, 3676, 3677, 3680, 3681, 3673, 3672, - 3701, 3700, 840, 841, 861, 860, 855, 854, 839, 838, 832, 833, 892, 893, 882, 883, 864, 865, 868, 869, 851, 850, 853, 852, 837, 836, 870, 871, 874, 875, - 835, 834, 876, 877, 846, 847, 867, 866, 848, 849, 856, 857, 873, 872, 858, 859, 862, 863, 895, 894, 881, 880, 844, 845, 891, 890, 887, 886, 889, 888, - 885, 884, 842, 843, 879, 878, 971, 970, 975, 974, 983, 982, 987, 986, 995, 994, 984, 985, 1013, 1012, 1016, 1017, 988, 989, 1009, 1008, 967, 966, 968, 969, - 1003, 1002, 990, 991, 973, 972, 960, 961, 996, 997, 1004, 1005, 979, 978, 1001, 1000, 1020, 1021, 980, 981, 999, 998, 1023, 1022, 976, 977, 1015, 1014, 992, 993, - 962, 963, 1018, 1019, 1007, 1006, 964, 965, 1010, 1011, 2098, 2099, 2072, 2073, 2064, 2065, 2111, 2110, 2066, 2067, 2063, 2062, 2056, 2057, 2055, 2054, 2092, 2093, 2089, 2088, - 2104, 2105, 2101, 2100, 2094, 2095, 2051, 2050, 2108, 2109, 2106, 2107, 2052, 2053, 2076, 2077, 2082, 2083, 2097, 2096, 2061, 2060, 2103, 2102, 2080, 2081, 2075, 2074, 2071, 2070, - 2068, 2069, 2087, 2086, 2079, 2078, 2048, 2049, 2090, 2091, 2084, 2085, 2059, 2058, 897, 896, 943, 942, 941, 940, 935, 934, 936, 937, 919, 918, 909, 908, 945, 944, - 913, 912, 915, 914, 917, 916, 907, 906, 921, 920, 923, 922, 955, 954, 957, 956, 929, 928, 939, 938, 950, 951, 903, 902, 904, 905, 931, 930, 901, 900, - 899, 898, 911, 910, 953, 952, 959, 958, 932, 933, 947, 946, 925, 924, 927, 926, 949, 948, 663, 662, 693, 692, 647, 646, 648, 649, 671, 670, 681, 680, - 703, 702, 656, 657, 698, 699, 655, 654, 679, 678, 664, 665, 675, 674, 700, 701, 643, 642, 684, 685, 695, 694, 660, 661, 687, 686, 667, 666, 682, 683, - 644, 645, 651, 650, 689, 688, 690, 691, 668, 669, 696, 697, 658, 659, 676, 677, 653, 652, 640, 641, 672, 673, 1879, 1878, 1909, 1908, 1863, 1862, 1864, 1865, - 1887, 1886, 1897, 1896, 1919, 1918, 1872, 1873, 1914, 1915, 1871, 1870, 1895, 1894, 1880, 1881, 1891, 1890, 1916, 1917, 1859, 1858, 1900, 1901, 1911, 1910, 1876, 1877, 1903, 1902, - 1883, 1882, 1898, 1899, 1860, 1861, 1867, 1866, 1905, 1904 -] -private def clayworthGen2Fwd_chunk7 : Array (Fin 4032) := #[ - 1906, 1907, 1884, 1885, 1912, 1913, 1874, 1875, 1892, 1893, 1869, 1868, 1856, 1857, 1888, 1889, 78, 79, 108, 109, 97, 96, 121, 120, 101, 100, 82, 83, 102, 103, - 74, 75, 69, 68, 95, 94, 92, 93, 122, 123, 80, 81, 110, 111, 99, 98, 118, 119, 91, 90, 77, 76, 70, 71, 116, 117, 126, 127, 113, 112, - 66, 67, 89, 88, 104, 105, 106, 107, 84, 85, 65, 64, 87, 86, 73, 72, 114, 115, 125, 124, 2894, 2895, 2924, 2925, 2913, 2912, 2937, 2936, 2917, 2916, - 2898, 2899, 2918, 2919, 2890, 2891, 2885, 2884, 2911, 2910, 2908, 2909, 2938, 2939, 2896, 2897, 2926, 2927, 2915, 2914, 2934, 2935, 2907, 2906, 2893, 2892, 2886, 2887, 2932, 2933, - 2942, 2943, 2929, 2928, 2882, 2883, 2905, 2904, 2920, 2921, 2922, 2923, 2900, 2901, 2881, 2880, 2903, 2902, 2889, 2888, 2930, 2931, 2941, 2940, 1818, 1819, 1843, 1842, 1832, 1833, - 1835, 1834, 1797, 1796, 1823, 1822, 1809, 1808, 1847, 1846, 1811, 1810, 1825, 1824, 1817, 1816, 1853, 1852, 1793, 1792, 1812, 1813, 1840, 1841, 1799, 1798, 1805, 1804, 1815, 1814, - 1844, 1845, 1827, 1826, 1836, 1837, 1803, 1802, 1801, 1800, 1849, 1848, 1828, 1829, 1839, 1838, 1820, 1821, 1855, 1854, 1795, 1794, 1806, 1807, 1831, 1830, 1850, 1851, 1117, 1116, - 1133, 1132, 1120, 1121, 1147, 1146, 1124, 1125, 1141, 1140, 1118, 1119, 1109, 1108, 1114, 1115, 1127, 1126, 1103, 1102, 1144, 1145, 1134, 1135, 1104, 1105, 1089, 1088, 1100, 1101, - 1092, 1093, 1143, 1142, 1096, 1097, 1107, 1106, 1151, 1150, 1139, 1138, 1091, 1090, 1112, 1113, 1148, 1149, 1131, 1130, 1099, 1098, 1123, 1122, 1110, 1111, 1095, 1094, 1136, 1137, - 1129, 1128, 1642, 1643, 1613, 1612, 1641, 1640, 1627, 1626, 1622, 1623, 1645, 1644, 1637, 1636, 1654, 1655, 1618, 1619, 1615, 1614, 1639, 1638, 1611, 1610, 1609, 1608, 1621, 1620, - 1649, 1648, 1606, 1607, 1651, 1650, 1604, 1605, 1659, 1658, 1634, 1635, 1630, 1631, 1661, 1660, 1601, 1600, 1656, 1657, 1616, 1617, 1662, 1663, 1603, 1602, 1646, 1647, 1628, 1629, - 1632, 1633, 1625, 1624, 1653, 1652, 1516, 1517, 1527, 1526, 1482, 1483, 1492, 1493, 1477, 1476, 1481, 1480, 1474, 1475, 1500, 1501, 1521, 1520, 1489, 1488, 1498, 1499, 1494, 1495, - 1532, 1533, 1478, 1479, 1508, 1509, 1514, 1515, 1531, 1530, 1473, 1472, 1486, 1487, 1503, 1502, 1497, 1496, 1511, 1510, 1507, 1506, 1524, 1525, 1490, 1491, 1519, 1518, 1523, 1522, - 1485, 1484, 1504, 1505, 1529, 1528, 1513, 1512, 1534, 1535 -] -private def clayworthGen2Fwd_chunk8 : Array (Fin 4032) := #[ - 3813, 3812, 3781, 3780, 3792, 3793, 3830, 3831, 3804, 3805, 3825, 3824, 3818, 3819, 3777, 3776, 3801, 3800, 3799, 3798, 3839, 3838, 3826, 3827, 3778, 3779, 3808, 3809, 3797, 3796, - 3794, 3795, 3820, 3821, 3834, 3835, 3817, 3816, 3789, 3788, 3791, 3790, 3833, 3832, 3823, 3822, 3803, 3802, 3810, 3811, 3807, 3806, 3783, 3782, 3837, 3836, 3814, 3815, 3787, 3786, - 3828, 3829, 3784, 3785, 2512, 2513, 2504, 2505, 2552, 2553, 2549, 2548, 2498, 2499, 2545, 2544, 2523, 2522, 2519, 2518, 2496, 2497, 2520, 2521, 2528, 2529, 2511, 2510, 2514, 2515, - 2509, 2508, 2526, 2527, 2524, 2525, 2516, 2517, 2551, 2550, 2538, 2539, 2559, 2558, 2543, 2542, 2532, 2533, 2546, 2547, 2537, 2536, 2507, 2506, 2540, 2541, 2503, 2502, 2531, 2530, - 2500, 2501, 2556, 2557, 2554, 2555, 2535, 2534, 487, 486, 451, 450, 472, 473, 455, 454, 470, 471, 482, 483, 463, 462, 461, 460, 465, 464, 477, 476, 478, 479, - 456, 457, 452, 453, 475, 474, 467, 466, 468, 469, 494, 495, 458, 459, 504, 505, 449, 448, 490, 491, 488, 489, 493, 492, 480, 481, 497, 496, 510, 511, - 502, 503, 500, 501, 484, 485, 507, 506, 509, 508, 498, 499, 746, 747, 720, 721, 709, 708, 764, 765, 735, 734, 715, 714, 741, 740, 760, 761, 706, 707, - 767, 766, 727, 726, 725, 724, 729, 728, 749, 748, 754, 755, 713, 712, 737, 736, 739, 738, 717, 716, 745, 744, 743, 742, 704, 705, 731, 730, 751, 750, - 763, 762, 732, 733, 757, 756, 759, 758, 718, 719, 753, 752, 710, 711, 723, 722, 3561, 3560, 3573, 3572, 3580, 3581, 3544, 3545, 3529, 3528, 3565, 3564, 3576, 3577, - 3535, 3534, 3575, 3574, 3539, 3538, 3541, 3540, 3550, 3551, 3526, 3527, 3554, 3555, 3583, 3582, 3542, 3543, 3568, 3569, 3546, 3547, 3557, 3556, 3559, 3558, 3521, 3520, 3563, 3562, - 3531, 3530, 3579, 3578, 3552, 3553, 3571, 3570, 3523, 3522, 3537, 3536, 3532, 3533, 3567, 3566, 3524, 3525, 3549, 3548, 1988, 1989, 1996, 1997, 2004, 2005, 2006, 2007, 2011, 2010, - 2022, 2023, 2030, 2031, 2032, 2033, 2040, 2041, 1986, 1987, 2028, 2029, 1994, 1995, 1992, 1993, 2024, 2025, 2039, 2038, 2018, 2019, 2034, 2035, 2026, 2027, 2042, 2043, 1990, 1991, - 2009, 2008, 2044, 2045, 1984, 1985, 2002, 2003, 2046, 2047, 2000, 2001, 1998, 1999, 2021, 2020, 2016, 2017, 2012, 2013, 2014, 2015, 2036, 2037, 2703, 2702, 2699, 2698, 2737, 2736, - 2701, 2700, 2724, 2725, 2707, 2706, 2727, 2726, 2733, 2732 -] -private def clayworthGen2Fwd_chunk9 : Array (Fin 4032) := #[ - 2749, 2748, 2711, 2710, 2751, 2750, 2735, 2734, 2743, 2742, 2747, 2746, 2715, 2714, 2705, 2704, 2723, 2722, 2745, 2744, 2712, 2713, 2691, 2690, 2717, 2716, 2721, 2720, 2741, 2740, - 2695, 2694, 2689, 2688, 2731, 2730, 2709, 2708, 2728, 2729, 2719, 2718, 2696, 2697, 2739, 2738, 2693, 2692, 3615, 3614, 3586, 3587, 3609, 3608, 3593, 3592, 3607, 3606, 3584, 3585, - 3612, 3613, 3639, 3638, 3631, 3630, 3598, 3599, 3622, 3623, 3590, 3591, 3611, 3610, 3588, 3589, 3636, 3637, 3595, 3594, 3600, 3601, 3605, 3604, 3642, 3643, 3619, 3618, 3627, 3626, - 3644, 3645, 3628, 3629, 3617, 3616, 3635, 3634, 3647, 3646, 3596, 3597, 3603, 3602, 3621, 3620, 3641, 3640, 3625, 3624, 3632, 3633, 2627, 2626, 2645, 2644, 2637, 2636, 2678, 2679, - 2641, 2640, 2683, 2682, 2669, 2668, 2654, 2655, 2664, 2665, 2629, 2628, 2671, 2670, 2661, 2660, 2675, 2674, 2680, 2681, 2647, 2646, 2686, 2687, 2633, 2632, 2676, 2677, 2663, 2662, - 2653, 2652, 2656, 2657, 2638, 2639, 2643, 2642, 2625, 2624, 2658, 2659, 2650, 2651, 2684, 2685, 2634, 2635, 2649, 2648, 2631, 2630, 2672, 2673, 2666, 2667, 2220, 2221, 2231, 2230, - 2186, 2187, 2196, 2197, 2181, 2180, 2185, 2184, 2178, 2179, 2204, 2205, 2225, 2224, 2193, 2192, 2202, 2203, 2198, 2199, 2236, 2237, 2182, 2183, 2212, 2213, 2218, 2219, 2235, 2234, - 2177, 2176, 2190, 2191, 2207, 2206, 2201, 2200, 2215, 2214, 2211, 2210, 2228, 2229, 2194, 2195, 2223, 2222, 2227, 2226, 2189, 2188, 2208, 2209, 2233, 2232, 2217, 2216, 2238, 2239, - 2804, 2805, 2772, 2773, 2809, 2808, 2769, 2768, 2806, 2807, 2798, 2799, 2762, 2763, 2774, 2775, 2753, 2752, 2813, 2812, 2810, 2811, 2788, 2789, 2802, 2803, 2764, 2765, 2783, 2782, - 2781, 2780, 2760, 2761, 2755, 2754, 2790, 2791, 2814, 2815, 2800, 2801, 2767, 2766, 2770, 2771, 2792, 2793, 2778, 2779, 2786, 2787, 2756, 2757, 2797, 2796, 2759, 2758, 2777, 2776, - 2784, 2785, 2795, 2794, 4019, 4018, 3994, 3995, 4001, 4000, 4016, 4017, 3981, 3980, 4020, 4021, 3977, 3976, 3990, 3991, 4013, 4012, 4008, 4009, 4025, 4024, 3982, 3983, 4015, 4014, - 3970, 3971, 4011, 4010, 4005, 4004, 3973, 3972, 4022, 4023, 3999, 3998, 4030, 4031, 3986, 3987, 3997, 3996, 3985, 3984, 3993, 3992, 3974, 3975, 3969, 3968, 3978, 3979, 4002, 4003, - 3989, 3988, 4029, 4028, 4027, 4026, 4006, 4007, 3866, 3867, 3891, 3890, 3880, 3881, 3883, 3882, 3845, 3844, 3871, 3870, 3857, 3856, 3895, 3894, 3859, 3858, 3873, 3872, 3865, 3864, - 3901, 3900, 3841, 3840, 3860, 3861, 3888, 3889, 3847, 3846 -] -private def clayworthGen2Fwd_chunk10 : Array (Fin 4032) := #[ - 3853, 3852, 3863, 3862, 3892, 3893, 3875, 3874, 3884, 3885, 3851, 3850, 3849, 3848, 3897, 3896, 3876, 3877, 3887, 3886, 3868, 3869, 3903, 3902, 3843, 3842, 3854, 3855, 3879, 3878, - 3898, 3899 -] -private def clayworthGen2Fwd : Array (Fin 4032) := - clayworthGen2Fwd_chunk0 ++ clayworthGen2Fwd_chunk1 ++ clayworthGen2Fwd_chunk2 ++ clayworthGen2Fwd_chunk3 ++ clayworthGen2Fwd_chunk4 ++ clayworthGen2Fwd_chunk5 ++ clayworthGen2Fwd_chunk6 ++ clayworthGen2Fwd_chunk7 ++ clayworthGen2Fwd_chunk8 ++ clayworthGen2Fwd_chunk9 ++ clayworthGen2Fwd_chunk10 -private theorem clayworthGen2Fwd_size : clayworthGen2Fwd.size = 4032 := by native_decide - -private def clayworthGen2Inv_chunk0 : Array (Fin 4032) := #[ - 1154, 1155, 1152, 1153, 1170, 1171, 1180, 1181, 1184, 1185, 1188, 1189, 1196, 1197, 1187, 1186, 1193, 1192, 1156, 1157, 1198, 1199, 1210, 1211, 1202, 1203, 1209, 1208, 1158, 1159, - 1201, 1200, 1160, 1161, 1167, 1166, 1162, 1163, 1207, 1206, 1169, 1168, 1205, 1204, 1164, 1165, 1172, 1173, 1183, 1182, 1176, 1177, 1195, 1194, 1191, 1190, 1179, 1178, 1174, 1175, - 1215, 1214, 1213, 1212, 2871, 2870, 2860, 2861, 2833, 2832, 2852, 2853, 2875, 2874, 2830, 2831, 2851, 2850, 2816, 2817, 2840, 2841, 2826, 2827, 2868, 2869, 2873, 2872, 2863, 2862, - 2849, 2848, 2836, 2837, 2835, 2834, 2821, 2820, 2845, 2844, 2825, 2824, 2828, 2829, 2864, 2865, 2866, 2867, 2818, 2819, 2842, 2843, 2859, 2858, 2876, 2877, 2854, 2855, 2846, 2847, - 2823, 2822, 2838, 2839, 2879, 2878, 2856, 2857, 2049, 2048, 2095, 2094, 2093, 2092, 2087, 2086, 2088, 2089, 2071, 2070, 2061, 2060, 2097, 2096, 2065, 2064, 2067, 2066, 2069, 2068, - 2059, 2058, 2073, 2072, 2075, 2074, 2107, 2106, 2109, 2108, 2081, 2080, 2091, 2090, 2102, 2103, 2055, 2054, 2056, 2057, 2083, 2082, 2053, 2052, 2051, 2050, 2063, 2062, 2105, 2104, - 2111, 2110, 2084, 2085, 2099, 2098, 2077, 2076, 2079, 2078, 2101, 2100, 1034, 1035, 1026, 1027, 1050, 1051, 1046, 1047, 1031, 1030, 1055, 1054, 1076, 1077, 1042, 1043, 1056, 1057, - 1079, 1078, 1059, 1058, 1033, 1032, 1029, 1028, 1049, 1048, 1036, 1037, 1025, 1024, 1071, 1070, 1063, 1062, 1081, 1080, 1044, 1045, 1085, 1084, 1065, 1064, 1068, 1069, 1041, 1040, - 1086, 1087, 1073, 1072, 1052, 1053, 1039, 1038, 1083, 1082, 1060, 1061, 1066, 1067, 1075, 1074, 323, 322, 341, 340, 333, 332, 374, 375, 337, 336, 379, 378, 365, 364, - 350, 351, 360, 361, 325, 324, 367, 366, 357, 356, 371, 370, 376, 377, 343, 342, 382, 383, 329, 328, 372, 373, 359, 358, 349, 348, 352, 353, 334, 335, - 339, 338, 321, 320, 354, 355, 346, 347, 380, 381, 330, 331, 345, 344, 327, 326, 368, 369, 362, 363, 309, 308, 301, 300, 272, 273, 312, 313, 314, 315, - 269, 268, 267, 266, 295, 294, 260, 261, 290, 291, 310, 311, 293, 292, 289, 288, 303, 302, 286, 287, 284, 285, 281, 280, 274, 275, 279, 278, 271, 270, - 305, 304, 318, 319, 259, 258, 283, 282, 297, 296, 317, 316, 257, 256, 276, 277, 262, 263, 264, 265, 307, 306, 298, 299, 669, 668, 700, 701, 694, 695, - 690, 691, 702, 703, 696, 697, 670, 671, 664, 665 -] -private def clayworthGen2Inv_chunk1 : Array (Fin 4032) := #[ - 650, 651, 682, 683, 677, 676, 656, 657, 688, 689, 693, 692, 645, 644, 686, 687, 646, 647, 658, 659, 685, 684, 672, 673, 655, 654, 642, 643, 699, 698, - 674, 675, 648, 649, 662, 663, 681, 680, 660, 661, 678, 679, 641, 640, 652, 653, 667, 666, 3367, 3366, 3331, 3330, 3352, 3353, 3335, 3334, 3350, 3351, 3362, 3363, - 3343, 3342, 3341, 3340, 3345, 3344, 3357, 3356, 3358, 3359, 3336, 3337, 3332, 3333, 3355, 3354, 3347, 3346, 3348, 3349, 3374, 3375, 3338, 3339, 3384, 3385, 3329, 3328, 3370, 3371, - 3368, 3369, 3373, 3372, 3360, 3361, 3377, 3376, 3390, 3391, 3382, 3383, 3380, 3381, 3364, 3365, 3387, 3386, 3389, 3388, 3378, 3379, 0, 1, 2, 3, 4, 5, 6, 7, - 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, - 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 1604, 1605, 1612, 1613, - 1620, 1621, 1622, 1623, 1627, 1626, 1638, 1639, 1646, 1647, 1648, 1649, 1656, 1657, 1602, 1603, 1644, 1645, 1610, 1611, 1608, 1609, 1640, 1641, 1655, 1654, 1634, 1635, 1650, 1651, - 1642, 1643, 1658, 1659, 1606, 1607, 1625, 1624, 1660, 1661, 1600, 1601, 1618, 1619, 1662, 1663, 1616, 1617, 1614, 1615, 1637, 1636, 1632, 1633, 1628, 1629, 1630, 1631, 1652, 1653, - 2748, 2749, 2717, 2716, 2730, 2731, 2693, 2692, 2694, 2695, 2733, 2732, 2747, 2746, 2707, 2706, 2702, 2703, 2742, 2743, 2722, 2723, 2689, 2688, 2710, 2711, 2727, 2726, 2738, 2739, - 2697, 2696, 2750, 2751, 2713, 2712, 2744, 2745, 2709, 2708, 2699, 2698, 2728, 2729, 2718, 2719, 2725, 2724, 2735, 2734, 2736, 2737, 2691, 2690, 2721, 2720, 2740, 2741, 2704, 2705, - 2714, 2715, 2701, 2700, 3434, 3435, 3408, 3409, 3397, 3396, 3452, 3453, 3423, 3422, 3403, 3402, 3429, 3428, 3448, 3449, 3394, 3395, 3455, 3454, 3415, 3414, 3413, 3412, 3417, 3416, - 3437, 3436, 3442, 3443, 3401, 3400, 3425, 3424, 3427, 3426, 3405, 3404, 3433, 3432, 3431, 3430, 3392, 3393, 3419, 3418, 3439, 3438, 3451, 3450, 3420, 3421, 3445, 3444, 3447, 3446, - 3406, 3407, 3441, 3440, 3398, 3399, 3411, 3410, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, - 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 -] -private def clayworthGen2Inv_chunk2 : Array (Fin 4032) := #[ - 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, - 126, 127, 2440, 2441, 2461, 2460, 2455, 2454, 2439, 2438, 2432, 2433, 2492, 2493, 2482, 2483, 2464, 2465, 2468, 2469, 2451, 2450, 2453, 2452, 2437, 2436, 2470, 2471, 2474, 2475, - 2435, 2434, 2476, 2477, 2446, 2447, 2467, 2466, 2448, 2449, 2456, 2457, 2473, 2472, 2458, 2459, 2462, 2463, 2495, 2494, 2481, 2480, 2444, 2445, 2491, 2490, 2487, 2486, 2489, 2488, - 2485, 2484, 2442, 2443, 2479, 2478, 2625, 2624, 2671, 2670, 2669, 2668, 2663, 2662, 2664, 2665, 2647, 2646, 2637, 2636, 2673, 2672, 2641, 2640, 2643, 2642, 2645, 2644, 2635, 2634, - 2649, 2648, 2651, 2650, 2683, 2682, 2685, 2684, 2657, 2656, 2667, 2666, 2678, 2679, 2631, 2630, 2632, 2633, 2659, 2658, 2629, 2628, 2627, 2626, 2639, 2638, 2681, 2680, 2687, 2686, - 2660, 2661, 2675, 2674, 2653, 2652, 2655, 2654, 2677, 2676, 2526, 2527, 2550, 2551, 2556, 2557, 2517, 2516, 2518, 2519, 2497, 2496, 2525, 2524, 2499, 2498, 2544, 2545, 2533, 2532, - 2538, 2539, 2501, 2500, 2506, 2507, 2503, 2502, 2512, 2513, 2522, 2523, 2548, 2549, 2505, 2504, 2528, 2529, 2541, 2540, 2535, 2534, 2521, 2520, 2530, 2531, 2555, 2554, 2515, 2514, - 2558, 2559, 2509, 2508, 2547, 2546, 2510, 2511, 2552, 2553, 2536, 2537, 2543, 2542, 1943, 1942, 1973, 1972, 1927, 1926, 1928, 1929, 1951, 1950, 1961, 1960, 1983, 1982, 1936, 1937, - 1978, 1979, 1935, 1934, 1959, 1958, 1944, 1945, 1955, 1954, 1980, 1981, 1923, 1922, 1964, 1965, 1975, 1974, 1940, 1941, 1967, 1966, 1947, 1946, 1962, 1963, 1924, 1925, 1931, 1930, - 1969, 1968, 1970, 1971, 1948, 1949, 1976, 1977, 1938, 1939, 1956, 1957, 1933, 1932, 1920, 1921, 1952, 1953, 3037, 3036, 3053, 3052, 3040, 3041, 3067, 3066, 3044, 3045, 3061, 3060, - 3038, 3039, 3029, 3028, 3034, 3035, 3047, 3046, 3023, 3022, 3064, 3065, 3054, 3055, 3024, 3025, 3009, 3008, 3020, 3021, 3012, 3013, 3063, 3062, 3016, 3017, 3027, 3026, 3071, 3070, - 3059, 3058, 3011, 3010, 3032, 3033, 3068, 3069, 3051, 3050, 3019, 3018, 3043, 3042, 3030, 3031, 3015, 3014, 3056, 3057, 3049, 3048, 510, 511, 458, 459, 496, 497, 494, 495, - 485, 484, 450, 451, 470, 471, 468, 469, 482, 483, 486, 487, 462, 463, 460, 461, 507, 506, 503, 502, 488, 489, 504, 505, 508, 509, 464, 465, 457, 456, - 466, 467, 476, 477, 498, 499, 500, 501, 454, 455 -] -private def clayworthGen2Inv_chunk3 : Array (Fin 4032) := #[ - 452, 453, 490, 491, 492, 493, 475, 474, 478, 479, 473, 472, 480, 481, 448, 449, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, - 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, - 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 1898, 1899, 1869, 1868, 1897, 1896, 1883, 1882, 1878, 1879, - 1901, 1900, 1893, 1892, 1910, 1911, 1874, 1875, 1871, 1870, 1895, 1894, 1867, 1866, 1865, 1864, 1877, 1876, 1905, 1904, 1862, 1863, 1907, 1906, 1860, 1861, 1915, 1914, 1890, 1891, - 1886, 1887, 1917, 1916, 1857, 1856, 1912, 1913, 1872, 1873, 1918, 1919, 1859, 1858, 1902, 1903, 1884, 1885, 1888, 1889, 1881, 1880, 1909, 1908, 1847, 1846, 1836, 1837, 1809, 1808, - 1828, 1829, 1851, 1850, 1806, 1807, 1827, 1826, 1792, 1793, 1816, 1817, 1802, 1803, 1844, 1845, 1849, 1848, 1839, 1838, 1825, 1824, 1812, 1813, 1811, 1810, 1797, 1796, 1821, 1820, - 1801, 1800, 1804, 1805, 1840, 1841, 1842, 1843, 1794, 1795, 1818, 1819, 1835, 1834, 1852, 1853, 1830, 1831, 1822, 1823, 1799, 1798, 1814, 1815, 1855, 1854, 1832, 1833, 2045, 2044, - 2017, 2016, 1988, 1989, 2027, 2026, 2018, 2019, 2022, 2023, 2042, 2043, 2041, 2040, 1987, 1986, 2032, 2033, 1990, 1991, 1984, 1985, 2011, 2010, 2028, 2029, 2035, 2034, 1992, 1993, - 2000, 2001, 2014, 2015, 2002, 2003, 2024, 2025, 1994, 1995, 2005, 2004, 2009, 2008, 2030, 2031, 2020, 2021, 2038, 2039, 1998, 1999, 2013, 2012, 2037, 2036, 2046, 2047, 2007, 2006, - 1996, 1997, 3171, 3170, 3148, 3149, 3145, 3144, 3162, 3163, 3147, 3146, 3140, 3141, 3191, 3190, 3172, 3173, 3155, 3154, 3184, 3185, 3142, 3143, 3158, 3159, 3177, 3176, 3156, 3157, - 3150, 3151, 3175, 3174, 3192, 3193, 3181, 3180, 3164, 3165, 3179, 3178, 3197, 3196, 3166, 3167, 3136, 3137, 3187, 3186, 3153, 3152, 3189, 3188, 3182, 3183, 3139, 3138, 3195, 3194, - 3169, 3168, 3160, 3161, 3198, 3199, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, - 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, - 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 -] -private def clayworthGen2Inv_chunk4 : Array (Fin 4032) := #[ - 3117, 3116, 3125, 3124, 3106, 3107, 3102, 3103, 3097, 3096, 3095, 3094, 3075, 3074, 3091, 3090, 3120, 3121, 3088, 3089, 3099, 3098, 3080, 3081, 3133, 3132, 3079, 3078, 3128, 3129, - 3112, 3113, 3130, 3131, 3110, 3111, 3085, 3084, 3093, 3092, 3077, 3076, 3072, 3073, 3083, 3082, 3126, 3127, 3101, 3100, 3105, 3104, 3135, 3134, 3086, 3087, 3118, 3119, 3109, 3108, - 3115, 3114, 3122, 3123, 573, 572, 548, 549, 543, 542, 532, 533, 523, 522, 512, 513, 570, 571, 558, 559, 527, 526, 567, 566, 547, 546, 556, 557, 535, 534, - 550, 551, 529, 528, 539, 538, 575, 574, 553, 552, 545, 544, 516, 517, 518, 519, 536, 537, 555, 554, 540, 541, 530, 531, 565, 564, 524, 525, 568, 569, - 561, 560, 563, 562, 520, 521, 514, 515, 723, 722, 715, 714, 763, 762, 751, 750, 716, 717, 720, 721, 725, 724, 727, 726, 739, 738, 745, 744, 760, 761, - 741, 740, 752, 753, 758, 759, 743, 742, 718, 719, 710, 711, 706, 707, 734, 735, 767, 766, 754, 755, 732, 733, 757, 756, 764, 765, 709, 708, 704, 705, - 731, 730, 748, 749, 713, 712, 728, 729, 737, 736, 746, 747, 2969, 2968, 3001, 3000, 2953, 2952, 2975, 2974, 2989, 2988, 2987, 2986, 2977, 2976, 3002, 3003, 2957, 2956, - 2961, 2960, 2970, 2971, 2979, 2978, 2965, 2964, 2944, 2945, 2996, 2997, 2955, 2954, 2963, 2962, 2983, 2982, 2992, 2993, 3005, 3004, 2948, 2949, 2951, 2950, 2984, 2985, 2995, 2994, - 2972, 2973, 2947, 2946, 2980, 2981, 2959, 2958, 2991, 2990, 3006, 3007, 2967, 2966, 2999, 2998, 2812, 2813, 2781, 2780, 2794, 2795, 2757, 2756, 2758, 2759, 2797, 2796, 2811, 2810, - 2771, 2770, 2766, 2767, 2806, 2807, 2786, 2787, 2753, 2752, 2774, 2775, 2791, 2790, 2802, 2803, 2761, 2760, 2814, 2815, 2777, 2776, 2808, 2809, 2773, 2772, 2763, 2762, 2792, 2793, - 2782, 2783, 2789, 2788, 2799, 2798, 2800, 2801, 2755, 2754, 2785, 2784, 2804, 2805, 2768, 2769, 2778, 2779, 2765, 2764, 2347, 2346, 2359, 2358, 2365, 2364, 2308, 2309, 2327, 2326, - 2348, 2349, 2340, 2341, 2316, 2317, 2357, 2356, 2332, 2333, 2335, 2334, 2324, 2325, 2311, 2310, 2314, 2315, 2355, 2354, 2312, 2313, 2353, 2352, 2331, 2330, 2361, 2360, 2304, 2305, - 2342, 2343, 2345, 2344, 2339, 2338, 2362, 2363, 2350, 2351, 2367, 2366, 2306, 2307, 2320, 2321, 2319, 2318, 2337, 2336, 2328, 2329, 2322, 2323, 3564, 3565, 3538, 3539, 3520, 3521, - 3558, 3559, 3544, 3545, 3542, 3543, 3522, 3523, 3572, 3573 -] -private def clayworthGen2Inv_chunk5 : Array (Fin 4032) := #[ - 3570, 3571, 3566, 3567, 3524, 3525, 3526, 3527, 3561, 3560, 3529, 3528, 3578, 3579, 3580, 3581, 3576, 3577, 3550, 3551, 3575, 3574, 3530, 3531, 3546, 3547, 3554, 3555, 3540, 3541, - 3532, 3533, 3534, 3535, 3552, 3553, 3582, 3583, 3549, 3548, 3536, 3537, 3556, 3557, 3562, 3563, 3568, 3569, 2616, 2617, 2587, 2586, 2592, 2593, 2575, 2574, 2572, 2573, 2623, 2622, - 2601, 2600, 2571, 2570, 2564, 2565, 2568, 2569, 2610, 2611, 2609, 2608, 2562, 2563, 2607, 2606, 2594, 2595, 2615, 2614, 2604, 2605, 2596, 2597, 2620, 2621, 2613, 2612, 2579, 2578, - 2618, 2619, 2576, 2577, 2584, 2585, 2599, 2598, 2560, 2561, 2583, 2582, 2603, 2602, 2580, 2581, 2590, 2591, 2588, 2589, 2567, 2566, 1571, 1570, 1548, 1549, 1545, 1544, 1562, 1563, - 1547, 1546, 1540, 1541, 1591, 1590, 1572, 1573, 1555, 1554, 1584, 1585, 1542, 1543, 1558, 1559, 1577, 1576, 1556, 1557, 1550, 1551, 1575, 1574, 1592, 1593, 1581, 1580, 1564, 1565, - 1579, 1578, 1597, 1596, 1566, 1567, 1536, 1537, 1587, 1586, 1553, 1552, 1589, 1588, 1582, 1583, 1539, 1538, 1595, 1594, 1569, 1568, 1560, 1561, 1598, 1599, 3811, 3810, 3788, 3789, - 3785, 3784, 3802, 3803, 3787, 3786, 3780, 3781, 3831, 3830, 3812, 3813, 3795, 3794, 3824, 3825, 3782, 3783, 3798, 3799, 3817, 3816, 3796, 3797, 3790, 3791, 3815, 3814, 3832, 3833, - 3821, 3820, 3804, 3805, 3819, 3818, 3837, 3836, 3806, 3807, 3776, 3777, 3827, 3826, 3793, 3792, 3829, 3828, 3822, 3823, 3779, 3778, 3835, 3834, 3809, 3808, 3800, 3801, 3838, 3839, - 1532, 1533, 1501, 1500, 1514, 1515, 1477, 1476, 1478, 1479, 1517, 1516, 1531, 1530, 1491, 1490, 1486, 1487, 1526, 1527, 1506, 1507, 1473, 1472, 1494, 1495, 1511, 1510, 1522, 1523, - 1481, 1480, 1534, 1535, 1497, 1496, 1528, 1529, 1493, 1492, 1483, 1482, 1512, 1513, 1502, 1503, 1509, 1508, 1519, 1518, 1520, 1521, 1475, 1474, 1505, 1504, 1524, 1525, 1488, 1489, - 1498, 1499, 1485, 1484, 2142, 2143, 2166, 2167, 2172, 2173, 2133, 2132, 2134, 2135, 2113, 2112, 2141, 2140, 2115, 2114, 2160, 2161, 2149, 2148, 2154, 2155, 2117, 2116, 2122, 2123, - 2119, 2118, 2128, 2129, 2138, 2139, 2164, 2165, 2121, 2120, 2144, 2145, 2157, 2156, 2151, 2150, 2137, 2136, 2146, 2147, 2171, 2170, 2131, 2130, 2174, 2175, 2125, 2124, 2163, 2162, - 2126, 2127, 2168, 2169, 2152, 2153, 2159, 2158, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, - 406, 407, 408, 409, 410, 411, 412, 413, 414, 415 -] -private def clayworthGen2Inv_chunk6 : Array (Fin 4032) := #[ - 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, - 446, 447, 1433, 1432, 1465, 1464, 1417, 1416, 1439, 1438, 1453, 1452, 1451, 1450, 1441, 1440, 1466, 1467, 1421, 1420, 1425, 1424, 1434, 1435, 1443, 1442, 1429, 1428, 1408, 1409, - 1460, 1461, 1419, 1418, 1427, 1426, 1447, 1446, 1456, 1457, 1469, 1468, 1412, 1413, 1415, 1414, 1448, 1449, 1459, 1458, 1436, 1437, 1411, 1410, 1444, 1445, 1423, 1422, 1455, 1454, - 1470, 1471, 1431, 1430, 1463, 1462, 3280, 3281, 3272, 3273, 3320, 3321, 3317, 3316, 3266, 3267, 3313, 3312, 3291, 3290, 3287, 3286, 3264, 3265, 3288, 3289, 3296, 3297, 3279, 3278, - 3282, 3283, 3277, 3276, 3294, 3295, 3292, 3293, 3284, 3285, 3319, 3318, 3306, 3307, 3327, 3326, 3311, 3310, 3300, 3301, 3314, 3315, 3305, 3304, 3275, 3274, 3308, 3309, 3271, 3270, - 3299, 3298, 3268, 3269, 3324, 3325, 3322, 3323, 3303, 3302, 1149, 1148, 1124, 1125, 1119, 1118, 1108, 1109, 1099, 1098, 1088, 1089, 1146, 1147, 1134, 1135, 1103, 1102, 1143, 1142, - 1123, 1122, 1132, 1133, 1111, 1110, 1126, 1127, 1105, 1104, 1115, 1114, 1151, 1150, 1129, 1128, 1121, 1120, 1092, 1093, 1094, 1095, 1112, 1113, 1131, 1130, 1116, 1117, 1106, 1107, - 1141, 1140, 1100, 1101, 1144, 1145, 1137, 1136, 1139, 1138, 1096, 1097, 1090, 1091, 3759, 3758, 3713, 3712, 3731, 3730, 3771, 3770, 3745, 3744, 3766, 3767, 3717, 3716, 3754, 3755, - 3721, 3720, 3757, 3756, 3715, 3714, 3741, 3740, 3769, 3768, 3762, 3763, 3751, 3750, 3726, 3727, 3752, 3753, 3760, 3761, 3735, 3734, 3749, 3748, 3728, 3729, 3774, 3775, 3725, 3724, - 3733, 3732, 3772, 3773, 3737, 3736, 3746, 3747, 3718, 3719, 3738, 3739, 3723, 3722, 3764, 3765, 3742, 3743, 3633, 3632, 3623, 3622, 3647, 3646, 3631, 3630, 3642, 3643, 3587, 3586, - 3591, 3590, 3585, 3584, 3615, 3614, 3595, 3594, 3637, 3636, 3603, 3602, 3620, 3621, 3613, 3612, 3625, 3624, 3641, 3640, 3627, 3626, 3617, 3616, 3592, 3593, 3597, 3596, 3638, 3639, - 3635, 3634, 3599, 3598, 3607, 3606, 3589, 3588, 3645, 3644, 3629, 3628, 3609, 3608, 3619, 3618, 3611, 3610, 3601, 3600, 3605, 3604, 3857, 3856, 3875, 3874, 3892, 3893, 3897, 3896, - 3872, 3873, 3852, 3853, 3866, 3867, 3883, 3882, 3847, 3846, 3884, 3885, 3842, 3843, 3854, 3855, 3899, 3898, 3888, 3889, 3871, 3870, 3869, 3868, 3900, 3901, 3890, 3891, 3862, 3863, - 3876, 3877, 3886, 3887, 3903, 3902, 3895, 3894, 3850, 3851 -] -private def clayworthGen2Inv_chunk7 : Array (Fin 4032) := #[ - 3880, 3881, 3864, 3865, 3840, 3841, 3848, 3849, 3845, 3844, 3860, 3861, 3859, 3858, 3878, 3879, 1748, 1749, 1780, 1781, 1789, 1788, 1759, 1758, 1736, 1737, 1766, 1767, 1746, 1747, - 1730, 1731, 1777, 1776, 1785, 1784, 1768, 1769, 1753, 1752, 1762, 1763, 1734, 1735, 1745, 1744, 1755, 1754, 1782, 1783, 1751, 1750, 1774, 1775, 1772, 1773, 1728, 1729, 1733, 1732, - 1738, 1739, 1786, 1787, 1756, 1757, 1778, 1779, 1742, 1743, 1791, 1790, 1741, 1740, 1764, 1765, 1770, 1771, 1761, 1760, 2935, 2934, 2924, 2925, 2897, 2896, 2916, 2917, 2939, 2938, - 2894, 2895, 2915, 2914, 2880, 2881, 2904, 2905, 2890, 2891, 2932, 2933, 2937, 2936, 2927, 2926, 2913, 2912, 2900, 2901, 2899, 2898, 2885, 2884, 2909, 2908, 2889, 2888, 2892, 2893, - 2928, 2929, 2930, 2931, 2882, 2883, 2906, 2907, 2923, 2922, 2940, 2941, 2918, 2919, 2910, 2911, 2887, 2886, 2902, 2903, 2943, 2942, 2920, 2921, 1379, 1378, 1356, 1357, 1353, 1352, - 1370, 1371, 1355, 1354, 1348, 1349, 1399, 1398, 1380, 1381, 1363, 1362, 1392, 1393, 1350, 1351, 1366, 1367, 1385, 1384, 1364, 1365, 1358, 1359, 1383, 1382, 1400, 1401, 1389, 1388, - 1372, 1373, 1387, 1386, 1405, 1404, 1374, 1375, 1344, 1345, 1395, 1394, 1361, 1360, 1397, 1396, 1390, 1391, 1347, 1346, 1403, 1402, 1377, 1376, 1368, 1369, 1406, 1407, 1243, 1242, - 1279, 1278, 1258, 1259, 1257, 1256, 1241, 1240, 1237, 1236, 1232, 1233, 1269, 1268, 1244, 1245, 1263, 1262, 1221, 1220, 1276, 1277, 1254, 1255, 1246, 1247, 1265, 1264, 1222, 1223, - 1230, 1231, 1225, 1224, 1270, 1271, 1227, 1226, 1261, 1260, 1251, 1250, 1239, 1238, 1253, 1252, 1272, 1273, 1249, 1248, 1235, 1234, 1267, 1266, 1218, 1219, 1229, 1228, 1216, 1217, - 1275, 1274, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, - 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, - 634, 635, 636, 637, 638, 639, 940, 941, 951, 950, 906, 907, 916, 917, 901, 900, 905, 904, 898, 899, 924, 925, 945, 944, 913, 912, 922, 923, 918, 919, - 956, 957, 902, 903, 932, 933, 938, 939, 955, 954, 897, 896, 910, 911, 927, 926, 921, 920, 935, 934, 931, 930, 948, 949, 914, 915, 943, 942, 947, 946, - 909, 908, 928, 929, 953, 952, 937, 936, 958, 959 -] -private def clayworthGen2Inv_chunk8 : Array (Fin 4032) := #[ - 1000, 1001, 977, 976, 985, 984, 1021, 1020, 981, 980, 995, 994, 1017, 1016, 996, 997, 963, 962, 1011, 1010, 969, 968, 991, 990, 965, 964, 1004, 1005, 1022, 1023, - 983, 982, 1007, 1006, 971, 970, 974, 975, 1003, 1002, 960, 961, 999, 998, 986, 987, 993, 992, 1018, 1019, 979, 978, 1015, 1014, 1013, 1012, 973, 972, 1008, 1009, - 967, 966, 988, 989, 2181, 2180, 2195, 2194, 2177, 2176, 2183, 2182, 2201, 2200, 2187, 2186, 2223, 2222, 2239, 2238, 2233, 2232, 2179, 2178, 2221, 2220, 2215, 2214, 2185, 2184, - 2217, 2216, 2205, 2204, 2207, 2206, 2227, 2226, 2237, 2236, 2213, 2212, 2199, 2198, 2203, 2202, 2219, 2218, 2197, 2196, 2189, 2188, 2225, 2224, 2209, 2208, 2229, 2228, 2234, 2235, - 2193, 2192, 2230, 2231, 2211, 2210, 2191, 2190, 1703, 1702, 1667, 1666, 1688, 1689, 1671, 1670, 1686, 1687, 1698, 1699, 1679, 1678, 1677, 1676, 1681, 1680, 1693, 1692, 1694, 1695, - 1672, 1673, 1668, 1669, 1691, 1690, 1683, 1682, 1684, 1685, 1710, 1711, 1674, 1675, 1720, 1721, 1665, 1664, 1706, 1707, 1704, 1705, 1709, 1708, 1696, 1697, 1713, 1712, 1726, 1727, - 1718, 1719, 1716, 1717, 1700, 1701, 1723, 1722, 1725, 1724, 1714, 1715, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, - 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, - 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, - 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, - 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 3497, 3496, 3509, 3508, 3516, 3517, 3480, 3481, 3465, 3464, - 3501, 3500, 3512, 3513, 3471, 3470, 3511, 3510, 3475, 3474, 3477, 3476, 3486, 3487, 3462, 3463, 3490, 3491, 3519, 3518, 3478, 3479, 3504, 3505, 3482, 3483, 3493, 3492, 3495, 3494, - 3457, 3456, 3499, 3498, 3467, 3466, 3515, 3514, 3488, 3489, 3507, 3506, 3459, 3458, 3473, 3472, 3468, 3469, 3503, 3502, 3460, 3461, 3485, 3484, 3658, 3659, 3650, 3651, 3674, 3675, - 3670, 3671, 3655, 3654, 3679, 3678, 3700, 3701, 3666, 3667 -] -private def clayworthGen2Inv_chunk9 : Array (Fin 4032) := #[ - 3680, 3681, 3703, 3702, 3683, 3682, 3657, 3656, 3653, 3652, 3673, 3672, 3660, 3661, 3649, 3648, 3695, 3694, 3687, 3686, 3705, 3704, 3668, 3669, 3709, 3708, 3689, 3688, 3692, 3693, - 3665, 3664, 3710, 3711, 3697, 3696, 3676, 3677, 3663, 3662, 3707, 3706, 3684, 3685, 3690, 3691, 3699, 3698, 2413, 2412, 2421, 2420, 2402, 2403, 2398, 2399, 2393, 2392, 2391, 2390, - 2371, 2370, 2387, 2386, 2416, 2417, 2384, 2385, 2395, 2394, 2376, 2377, 2429, 2428, 2375, 2374, 2424, 2425, 2408, 2409, 2426, 2427, 2406, 2407, 2381, 2380, 2389, 2388, 2373, 2372, - 2368, 2369, 2379, 2378, 2422, 2423, 2397, 2396, 2401, 2400, 2431, 2430, 2382, 2383, 2414, 2415, 2405, 2404, 2411, 2410, 2418, 2419, 2289, 2288, 2279, 2278, 2303, 2302, 2287, 2286, - 2298, 2299, 2243, 2242, 2247, 2246, 2241, 2240, 2271, 2270, 2251, 2250, 2293, 2292, 2259, 2258, 2276, 2277, 2269, 2268, 2281, 2280, 2297, 2296, 2283, 2282, 2273, 2272, 2248, 2249, - 2253, 2252, 2294, 2295, 2291, 2290, 2255, 2254, 2263, 2262, 2245, 2244, 2301, 2300, 2285, 2284, 2265, 2264, 2275, 2274, 2267, 2266, 2257, 2256, 2261, 2260, 3215, 3214, 3224, 3225, - 3203, 3202, 3253, 3252, 3262, 3263, 3259, 3258, 3239, 3238, 3241, 3240, 3204, 3205, 3230, 3231, 3229, 3228, 3219, 3218, 3217, 3216, 3247, 3246, 3208, 3209, 3251, 3250, 3226, 3227, - 3248, 3249, 3201, 3200, 3256, 3257, 3237, 3236, 3212, 3213, 3232, 3233, 3245, 3244, 3211, 3210, 3222, 3223, 3260, 3261, 3206, 3207, 3243, 3242, 3234, 3235, 3255, 3254, 3221, 3220, - 3993, 3992, 4025, 4024, 3977, 3976, 3999, 3998, 4013, 4012, 4011, 4010, 4001, 4000, 4026, 4027, 3981, 3980, 3985, 3984, 3994, 3995, 4003, 4002, 3989, 3988, 3968, 3969, 4020, 4021, - 3979, 3978, 3987, 3986, 4007, 4006, 4016, 4017, 4029, 4028, 3972, 3973, 3975, 3974, 4008, 4009, 4019, 4018, 3996, 3997, 3971, 3970, 4004, 4005, 3983, 3982, 4015, 4014, 4030, 4031, - 3991, 3990, 4023, 4022, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, - 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, - 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 3955, 3954, 3930, 3931, 3937, 3936, 3952, 3953, 3917, 3916, 3956, 3957, 3913, 3912, 3926, 3927, 3949, 3948, 3944, 3945, 3961, 3960, - 3918, 3919, 3951, 3950, 3906, 3907, 3947, 3946, 3941, 3940 -] -private def clayworthGen2Inv_chunk10 : Array (Fin 4032) := #[ - 3909, 3908, 3958, 3959, 3935, 3934, 3966, 3967, 3922, 3923, 3933, 3932, 3921, 3920, 3929, 3928, 3910, 3911, 3905, 3904, 3914, 3915, 3938, 3939, 3925, 3924, 3965, 3964, 3963, 3962, - 3942, 3943 -] -private def clayworthGen2Inv : Array (Fin 4032) := - clayworthGen2Inv_chunk0 ++ clayworthGen2Inv_chunk1 ++ clayworthGen2Inv_chunk2 ++ clayworthGen2Inv_chunk3 ++ clayworthGen2Inv_chunk4 ++ clayworthGen2Inv_chunk5 ++ clayworthGen2Inv_chunk6 ++ clayworthGen2Inv_chunk7 ++ clayworthGen2Inv_chunk8 ++ clayworthGen2Inv_chunk9 ++ clayworthGen2Inv_chunk10 -private theorem clayworthGen2Inv_size : clayworthGen2Inv.size = 4032 := by native_decide - -def clayworthGen1 : Equiv.Perm (Fin 4032) where - toFun i := clayworthGen1Fwd[i.val]'(by have := clayworthGen1Fwd_size; omega) - invFun i := clayworthGen1Inv[i.val]'(by have := clayworthGen1Inv_size; omega) - left_inv := by native_decide - right_inv := by native_decide - -def clayworthGen2 : Equiv.Perm (Fin 4032) where - toFun i := clayworthGen2Fwd[i.val]'(by have := clayworthGen2Fwd_size; omega) - invFun i := clayworthGen2Inv[i.val]'(by have := clayworthGen2Inv_size; omega) - left_inv := by native_decide - right_inv := by native_decide - -def clayworthGens : Fin 2 → Equiv.Perm (Fin 4032) - | 0 => clayworthGen1 - | 1 => clayworthGen2 - -/-! ### O(n) adjacency preservation - -Instead of checking `∀ u v : Fin 4032, Adj u v → Adj (g u) (g v)` directly -(which iterates 4032² = 16M pairs), we check only the 12096 actual directed -edges: for each vertex `u`, verify that `g` maps each of `u`'s 3 neighbors -to a neighbor of `g(u)`. This is 1300× faster. -/ - -private theorem clayworthGen1_adj_edges : ∀ u : Fin 4032, - have h := clayworthNeighborData_size - let b := 3 * u.val - clayworthAdjBool (clayworthGen1 u) - (clayworthGen1 (clayworthNeighborData[b]'(by omega))) ∧ - clayworthAdjBool (clayworthGen1 u) - (clayworthGen1 (clayworthNeighborData[b + 1]'(by omega))) ∧ - clayworthAdjBool (clayworthGen1 u) - (clayworthGen1 (clayworthNeighborData[b + 2]'(by omega))) := by - native_decide - -theorem clayworthGen1_adj : ∀ u v : Fin 4032, - clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen1 u) (clayworthGen1 v) := by - intro u v h - have ⟨h1, h2, h3⟩ := clayworthGen1_adj_edges u - simp only [clayworthGraph, clayworthAdjBool] at h ⊢ - rcases h with h | h | h <;> (subst h; assumption) - -private theorem clayworthGen1_inv_adj_edges : ∀ u : Fin 4032, - have h := clayworthNeighborData_size - let b := 3 * u.val - clayworthAdjBool (clayworthGen1.symm u) - (clayworthGen1.symm (clayworthNeighborData[b]'(by omega))) ∧ - clayworthAdjBool (clayworthGen1.symm u) - (clayworthGen1.symm (clayworthNeighborData[b + 1]'(by omega))) ∧ - clayworthAdjBool (clayworthGen1.symm u) - (clayworthGen1.symm (clayworthNeighborData[b + 2]'(by omega))) := by - native_decide - -theorem clayworthGen1_inv_adj : ∀ u v : Fin 4032, - clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen1.symm u) (clayworthGen1.symm v) := by - intro u v h - have ⟨h1, h2, h3⟩ := clayworthGen1_inv_adj_edges u - simp only [clayworthGraph, clayworthAdjBool] at h ⊢ - rcases h with h | h | h <;> (subst h; assumption) - -private theorem clayworthGen2_adj_edges : ∀ u : Fin 4032, - have h := clayworthNeighborData_size - let b := 3 * u.val - clayworthAdjBool (clayworthGen2 u) - (clayworthGen2 (clayworthNeighborData[b]'(by omega))) ∧ - clayworthAdjBool (clayworthGen2 u) - (clayworthGen2 (clayworthNeighborData[b + 1]'(by omega))) ∧ - clayworthAdjBool (clayworthGen2 u) - (clayworthGen2 (clayworthNeighborData[b + 2]'(by omega))) := by - native_decide - -theorem clayworthGen2_adj : ∀ u v : Fin 4032, - clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen2 u) (clayworthGen2 v) := by - intro u v h - have ⟨h1, h2, h3⟩ := clayworthGen2_adj_edges u - simp only [clayworthGraph, clayworthAdjBool] at h ⊢ - rcases h with h | h | h <;> (subst h; assumption) - -private theorem clayworthGen2_inv_adj_edges : ∀ u : Fin 4032, - have h := clayworthNeighborData_size - let b := 3 * u.val - clayworthAdjBool (clayworthGen2.symm u) - (clayworthGen2.symm (clayworthNeighborData[b]'(by omega))) ∧ - clayworthAdjBool (clayworthGen2.symm u) - (clayworthGen2.symm (clayworthNeighborData[b + 1]'(by omega))) ∧ - clayworthAdjBool (clayworthGen2.symm u) - (clayworthGen2.symm (clayworthNeighborData[b + 2]'(by omega))) := by - native_decide - -theorem clayworthGen2_inv_adj : ∀ u v : Fin 4032, - clayworthGraph.Adj u v → clayworthGraph.Adj (clayworthGen2.symm u) (clayworthGen2.symm v) := by - intro u v h - have ⟨h1, h2, h3⟩ := clayworthGen2_inv_adj_edges u - simp only [clayworthGraph, clayworthAdjBool] at h ⊢ - rcases h with h | h | h <;> (subst h; assumption) - -/-! ## BFS witness words -/ - -private def clayworthWitnessData_chunk0 : Array (List (Fin 4)) := #[ - [], [1, 1, 1, 2, 1, 0, 1, 0], [2, 1, 2, 1, 0, 3], [0, 3, 2, 3, 0, 1, 1, 2, 1, 1], [1, 0, 1, 2, 3, 3, 2], [0, 1, 1, 1, 2, 3, 3, 2, 3, 3], [3, 2, 1, 0, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 1], - [2, 3, 3, 2, 3, 0, 1, 2, 1], [3, 2, 1, 1, 1, 0, 1, 1], [1, 1, 0, 3, 3, 2, 3, 3], [1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 2, 1, 0], [0, 1, 2, 1, 1, 1, 0, 3, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3], [0, 1, 2, 1, 0, 1, 1], - [1, 2, 3, 2, 3, 3, 0], [0, 3, 0, 3, 0, 1, 2, 1, 1], [2, 3, 3, 0, 3, 2, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1], [1, 2, 1, 1, 1, 0, 1, 0, 1, 2], [0, 1, 2, 1, 2, 3, 0, 3, 3, 2], [3, 2, 3, 0, 3, 0, 3], [2, 3, 2, 1, 2, 1], - [0, 1, 1, 1, 0, 3, 3], [1, 2, 1, 2, 1, 0, 1], [1, 0, 3, 2, 1, 1, 0, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1], [2, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 2, 3, 0, 1, 2, 3], [3, 0, 3, 0, 1, 0], [1, 1, 0, 1, 1, 2, 3, 3], - [0, 1, 2, 3, 3, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1], [1, 0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 3, 0, 3, 3, 2, 3], [0, 1, 1, 2, 1, 2, 1, 1], [3, 0, 3, 3, 2, 1, 1, 0, 1], [1, 2, 1, 2, 3, 3, 0, 1, 1], [0, 1, 2, 3, 2, 3, 0, 3, 0, 3, 2], - [3, 3, 2, 1, 1, 1, 0, 1], [3, 3, 0, 3, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 3, 0], [1, 0, 1, 1, 2, 1, 2], [0, 1, 1, 0, 3, 2, 3], [2, 1, 1, 2, 3, 0], [1, 1, 0, 3, 2, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 2, 3, 0], - [1, 2, 3, 0, 3, 0], [3, 3, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 1, 0, 1], [2, 3, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1], [2, 1, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3, 0, 1, 1], [2, 3, 0, 3, 0, 3, 0, 3, 3], - [1, 1, 1, 0, 3, 0, 1, 1], [1, 0, 1, 0, 1, 2, 1, 1], [3, 0, 1, 1, 1, 0, 1, 2], [3, 2, 1, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 0, 3, 3], [2, 1, 0, 3, 0, 3, 3, 0], [1, 1, 1, 2, 3, 0, 1, 2], [2, 3, 0, 3, 0, 1, 1, 2], - [0], [1, 1, 1, 2, 1, 0, 1, 2], [2, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 0, 1, 1, 1], [1, 0, 1, 2, 3, 3], [1, 1, 0, 1, 1, 0, 1, 1, 1], [3, 2, 1, 0, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 1, 1, 0], - [0, 1, 1, 2, 1, 0, 3, 0, 3], [3, 2, 1, 1, 1, 0, 1, 1, 0], [2, 1, 1, 2, 1, 2, 3, 2], [1, 1, 2, 1, 1, 1], [1, 1, 0, 3, 0, 3, 2, 1, 2], [1, 2, 1, 2, 1, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 0], [0, 1, 2, 1, 0, 1, 1, 0], - [1, 2, 3, 2, 3, 3, 2], [1, 2, 1, 0, 3, 0, 3, 2, 3], [0, 3, 2, 1, 2, 3, 3, 0, 3], [3, 2, 3, 3, 2, 1, 1, 1, 0], [1, 2, 1, 1, 1, 0, 1, 0, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 3, 0, 3, 0, 3, 0], [2, 3, 2, 1, 2, 1, 0], - [0, 1, 1, 1, 0, 3, 3, 0], [1, 2, 1, 2, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 0, 1, 1, 2, 1, 2, 3], [1, 0, 3, 2, 1, 0, 3], [3, 0, 3, 0, 1, 2], [1, 1, 0, 1, 1, 2, 3, 3, 0], - [0, 1, 2, 3, 3, 0, 1, 0], [1, 0, 3, 3, 0, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 0, 3], [0, 3, 0, 3, 3, 2, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2, 3], [1, 2, 1, 2, 3, 3, 0, 1, 1, 0], [0, 1, 2, 3, 2, 3, 0, 3, 0, 3], - [3, 2, 1, 0, 1, 1, 1, 2, 1], [0, 3, 0, 3, 0, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 2], [1, 0, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 3, 0], [2, 1, 1, 2, 3, 2], [1, 1, 0, 3, 2, 1, 1, 2], [1, 1, 0, 1, 2, 3, 3, 2, 3, 2], - [1, 2, 3, 0, 3, 2], [3, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 2, 1, 1, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1, 0], [0, 3, 3, 2, 1, 2, 1, 2], [3, 3, 0, 3, 3, 2, 1, 0, 1], [0, 1, 0, 1, 0, 3, 2, 3, 2, 3], - [1, 1, 1, 0, 3, 0, 1, 1, 0], [1, 1, 0, 1, 2, 1, 1, 2], [3, 0, 1, 1, 1, 0, 1], [3, 2, 1, 1, 0, 3], [1, 2, 3, 3, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 3, 2], [1, 1, 1, 2, 3, 0, 1], [2, 3, 0, 3, 0, 1, 1], - [3, 0, 1, 0, 1, 0, 3, 2], [2, 3, 3, 2, 1, 1, 2, 1], [1, 2, 1, 1, 2, 1, 2, 3, 0], [2, 1, 2, 3, 3, 0, 3, 0], [1, 0, 1, 0, 3, 3, 2, 1, 0, 3], [1, 1, 0, 3, 2, 3, 0, 1], [0, 1, 0, 3, 2, 3, 0, 3, 0], [1, 2, 3, 0, 1, 1, 0, 1], - [0, 1, 2, 1, 1, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3], [0, 1, 0, 1, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 3, 0, 3], [0, 3, 2, 1, 2, 1, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1, 1, 2, 1, 2], [3, 2, 3, 0, 1, 2], [0, 1, 0, 3, 2, 3, 3, 2], - [1, 0, 1, 0, 3, 0, 3, 2], [2, 1, 1, 2, 1, 1, 0, 1], [2, 1, 0, 1, 0, 1], [0, 1, 1, 0, 3, 3, 0, 1, 1], [3, 0, 1, 2, 1, 2, 3], [1, 2, 1, 1, 1, 0, 3, 0], [0, 1, 1, 2, 3, 3], [1, 1, 1, 0, 1, 0, 1, 2], - [1, 2, 1, 1, 1, 2, 3], [3, 0, 1, 1, 2, 3, 2], [0, 3, 0, 3, 0, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2, 1], [2, 3, 2, 1, 1, 0], [1, 1, 1, 2, 1, 1, 1, 0], [0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 0, 3, 0, 3, 0, 1, 1, 0], - [1, 0, 1, 0, 3, 3, 0, 1, 2, 3], [2, 3, 3, 2, 3, 0, 1, 1, 0], [2, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 2, 3, 0], [0, 1, 1, 1, 0, 1, 2, 3, 3, 0, 3], [3, 2, 1, 2, 1, 1], [1, 1, 0, 1, 2, 1, 2, 1, 1, 0], [0, 1, 1, 0, 1, 0, 3, 0, 3], - [0, 1, 2, 3, 3, 2, 1, 0], [0, 3, 2, 3, 3, 0], [1, 0, 1, 1, 0, 3, 3, 0], [0, 1, 0, 3, 2, 3, 2, 3], [0, 1, 2, 3, 2, 1, 1], [0, 3, 2, 3, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0], - [2, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 3, 2, 1, 0], [2, 1, 2, 3, 3, 2, 3], [1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 2, 3, 3, 2, 1], [2, 1, 1, 0, 3, 3, 2, 3], - [3, 0, 1, 1, 0, 3], [3, 0, 3, 0, 3, 3, 0, 1], [1, 0, 1, 1, 0, 3, 2, 3, 2], [1, 0, 3, 0, 1, 1], [1, 1, 2, 3, 2, 3, 3], [3, 3, 2, 1, 0, 3, 3, 0, 3], [0, 3, 3, 2, 3, 3, 2, 1], [2, 1, 1, 1, 0, 1], - [2], [1, 1, 1, 2, 1, 0, 1], [2, 1, 2, 1, 0, 3, 2], [0, 3, 2, 3, 2, 1, 1, 2, 3, 3], [1, 0, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 1, 2, 3, 2], [1, 0, 3, 0, 3, 2, 1, 1, 2], - [3, 0, 3, 2, 1, 0, 1, 1], [3, 0, 1, 1, 2, 1, 1, 0, 3], [2, 1, 1, 2, 1, 2, 3], [1, 1, 2, 1, 1, 1, 0], [1, 1, 0, 3, 0, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [2, 3, 3, 0, 1, 2, 3, 3, 2], [0, 1, 2, 1, 0, 1, 1, 2], - [1, 2, 3, 2, 3, 3], [0, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 3], [3, 2, 3, 3, 2, 1, 1, 1, 2], [3, 2, 1, 2, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3, 3, 0], [3, 2, 3, 0, 3, 0, 3, 2], [2, 3, 2, 1, 2, 1, 2], - [0, 1, 1, 1, 0, 3, 3, 2], [1, 2, 1, 2, 1, 0, 1, 2], [2, 3, 3, 0, 3, 3, 2, 1, 1], [1, 2, 1, 1, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 3, 0, 3], [1, 2, 3, 0, 1, 2, 3], [3, 0, 3, 0, 1], [1, 0, 3, 3, 2, 1, 1, 2, 1], - [0, 1, 2, 3, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 2, 1], [2, 3, 0, 1, 0, 3, 3, 2, 3], [0, 3, 0, 3, 3, 2, 3, 2], [0, 1, 1, 2, 1, 2, 1, 1, 2], [0, 1, 1, 0, 3, 0, 3, 2, 3, 3], [1, 2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 1, 1, 0, 1, 0, 3, 3, 0, 3], - [3, 0, 3, 0, 1, 1, 1, 2, 3], [3, 3, 0, 3, 3, 0, 1, 1, 0, 3], [2, 1, 0, 3, 3], [1, 0, 1, 1, 2, 1, 0], [0, 1, 1, 0, 3, 2, 3, 2], [2, 1, 1, 2, 3], [1, 1, 0, 3, 2, 1, 1], [1, 1, 0, 1, 2, 3, 3, 2, 3], - [1, 2, 3, 0, 3], [3, 3, 2, 3, 0, 3, 0], [1, 0, 1, 1, 0, 1, 1, 0, 1], [3, 2, 3, 3, 0, 1, 0, 1], [0, 3, 2, 1, 0, 1, 1, 1, 2], [0, 3, 3, 2, 1, 2, 1], [1, 1, 0, 3, 2, 3, 3, 2, 3], [1, 1, 0, 1, 1, 1, 2, 1, 1], - [1, 1, 1, 0, 3, 0, 1, 1, 2], [1, 1, 0, 1, 2, 1, 1], [3, 0, 1, 1, 1, 0, 1, 0], [3, 2, 1, 1, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 0, 3], [2, 1, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 2, 1], [2, 3, 0, 3, 0, 1, 1, 0], - [0, 3, 0, 1, 0, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 3, 3, 0], [1, 1, 2, 1, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 2], [0, 3, 0, 3, 3, 2, 1, 0, 1, 1], [1, 2, 3, 2, 1, 1, 0, 1], - [1, 0, 1, 2, 1, 2, 1, 1], [1, 1, 0, 3, 3], [1, 1, 0], [2, 3, 2, 3, 0, 3, 0], [0, 3, 0, 1, 2, 1, 1, 2, 1, 0], [2, 1, 1, 2, 1, 1, 1, 0, 3], [3, 2, 1, 2, 3, 3, 0, 1, 2], [1, 2, 1, 0, 1, 2, 3, 2], - [3, 3, 0, 3, 0, 1, 2], [2, 3, 3, 0, 1], [2, 3, 0, 3, 0, 3, 2], [1, 1, 1, 2, 3, 0, 3, 3, 2], [0, 3, 0, 3, 3, 2, 1, 0], [1, 2, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 2, 1, 0], [2, 1, 1, 2, 3, 0, 1, 1, 0], - [1, 2, 3, 3, 2, 3, 2, 3], [3, 2, 3, 0, 3, 0, 1, 0], [0, 3, 0, 3, 3, 2, 1, 0, 3, 3], [1, 2, 3, 2, 1, 1, 0, 1, 1, 1], [3, 2, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1], - [3, 0, 3, 2, 1, 2, 1], [1, 0, 3, 3, 2, 1, 0, 3, 2], [0, 3, 0, 3, 2, 1, 2, 1, 1], [0, 3, 0, 1, 0, 1, 1, 1, 2, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 2, 1, 1, 1], [0, 1, 1, 1, 2, 3, 3], - [0, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 3, 2, 3, 2, 1], [0, 1, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 3], [0, 1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 3, 2, 1, 1, 2, 3], [2, 3, 0, 1, 2, 1, 1, 1], [0, 1, 2, 3, 0, 1, 2, 1, 0], - [2, 3, 3, 0, 3], [3, 2, 3, 3, 2, 3, 0], [2, 1, 1, 0, 1, 0, 1, 0], [2, 3, 0, 1, 2, 3], [2, 3, 0, 1, 2, 1], [2, 1, 2, 3, 2, 3, 2, 1], [1, 1, 1, 0, 3, 0, 3, 3, 0], [1, 0, 1, 0, 1, 2, 3, 3, 0], - [1, 2, 1, 2, 3, 2, 3, 0], [1, 2, 3, 0, 3, 0, 1, 1, 0], [3, 3, 2, 3, 0, 1, 1, 2], [3, 0, 3, 2, 1, 2, 3], [1, 2, 3, 3, 2, 3, 2, 1, 1, 1], [3, 2, 1, 1, 1, 0, 3, 3, 0], [2, 1, 2, 1, 0, 1, 0], [2, 1, 0, 1, 1, 0, 1], - [2, 1, 2, 3, 2, 3, 2, 1, 1], [2, 3, 0, 1, 2, 1, 1], [0, 3, 3, 2, 1, 1, 2], [2, 1, 1, 1, 2, 3, 3, 2], [3, 3, 0, 3, 0, 1, 2, 1], [2, 3, 3, 0, 1, 1], [3, 0, 3, 2, 1, 2, 3, 3], [3, 3, 2, 3, 0, 1, 1, 2, 3], - [1, 0, 3, 3, 2, 1, 1, 1, 2], [3, 0, 3, 2, 1, 2], [2, 1, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 2, 3, 3, 0, 3], [1, 0, 1, 2, 1, 2, 3], [1, 1, 0, 1], [0, 1, 1, 1, 2, 3], [0, 1, 0, 3, 0, 3, 2, 3, 3], - [1, 1, 0, 1, 1, 1], [1, 0, 1, 2, 1, 2, 1], [2, 1, 0, 1, 2, 3, 3, 2], [1, 2, 3, 2, 3, 0, 1, 1, 0], [1, 1, 1, 0, 3, 0, 3, 3, 0, 1], [2, 1, 1, 0, 3, 2, 3, 2], [3, 0, 3, 0, 3, 0], [1, 0, 3, 3, 2, 1, 1, 2, 3, 0], - [1, 0, 3, 3, 2, 1, 0, 3, 2, 1], [3, 0, 3, 2, 1, 2, 1, 1], [1, 2, 1, 0, 1, 0, 1, 1, 2], [2, 3, 0, 1, 2, 3, 3], [0, 1, 1, 1, 2, 1, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 2, 3], [3, 0, 3, 0, 3, 0, 1, 1], - [1, 2, 3, 0, 1, 1, 1, 0], [1, 2, 3, 3, 2, 3, 2], [2, 3, 3, 0, 3, 3], [3, 2, 3, 3, 2, 3, 0, 3], [2, 1, 1, 2, 3, 0, 1, 1, 0, 1], [1, 1, 2, 1, 2, 1, 1, 2], [3, 0, 3, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0], - [1, 1, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0], [2, 1, 2, 1, 0, 1, 0, 1], [2, 1, 0, 1, 1, 0], [1, 1, 2, 1, 1, 1, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 3, 3, 0, 1], [1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 0, 3, 3, 2, 1, 0, 3], - [1, 2, 3, 3, 2, 3, 2, 1, 1], [0, 1, 2, 1, 1, 2, 3, 0, 1], [3, 2, 3, 0, 3, 0, 1, 0, 3], [1, 2, 3, 3, 2, 3, 2, 3, 3], [0, 3, 0, 3, 2, 1, 2, 1], [0, 3, 0, 1, 0, 1, 1, 1, 2], [0, 3, 0, 3, 3, 2, 1, 0, 1], [1, 2, 3, 2, 1, 1, 0], - [1, 1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 1], [2, 3, 2, 3, 0, 3, 0, 3], [1, 1, 0, 3], [2, 3, 0, 1, 2], [2, 1, 2, 3, 2, 3, 2], [0, 1, 1, 1, 2, 1], [0, 1, 0, 3, 0, 3, 2], - [3, 0, 1, 0, 1, 0, 3], [0, 1, 0, 1, 1, 2, 3, 3], [0, 1, 0, 3, 3, 2, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1, 2, 3], [3, 3, 0, 3, 3, 0, 3], [0, 1, 0, 3, 2, 3, 0, 3, 2], [1, 2, 3, 0, 1, 1, 0, 1, 0], - [0, 1, 2, 1, 1, 1, 0, 1], [1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 2, 1, 2, 1], [2, 1, 1, 0, 1, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 1, 2], [3, 2, 3, 2, 1, 1, 1, 2, 1], [3, 2, 3, 0, 1], [0, 1, 0, 3, 2, 3, 3] -] -private def clayworthWitnessData_chunk1 : Array (List (Fin 4)) := #[ - [1, 0, 1, 0, 3, 0, 3], [0, 1, 1, 0, 3, 0, 1, 1], [0, 3, 2, 3, 2, 3], [2, 1, 1, 1, 2, 3, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 0], [1, 2, 1, 1, 1, 0, 3, 2], [0, 1, 1, 2, 3, 3, 0], [1, 1, 1, 0, 1, 0, 1], - [1, 2, 1, 1, 1, 2, 3, 0], [3, 0, 1, 1, 2, 3], [2, 1, 2, 1, 1, 1], [1, 2, 1, 1, 2, 1, 0, 3], [2, 3, 2, 1, 1, 2], [1, 1, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 1], [1, 0, 3, 0, 1, 1, 2, 1, 2, 3], - [1, 0, 3, 0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 3, 0, 1, 0, 3], [2, 3, 2, 1, 1, 1, 2, 3], [0, 1, 1, 2, 3, 2, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2, 1, 1], [0, 1, 1, 2, 3, 0, 3], [3, 2, 1, 2, 1, 1, 1, 0, 3], [0, 1, 1, 0, 1, 0, 3, 0, 3, 0], - [0, 3, 3, 0, 3, 2, 1], [0, 3, 2, 3, 3, 2], [0, 3, 3, 0, 1, 1, 2, 1], [0, 1, 0, 3, 2, 3, 2, 3, 0], [0, 1, 2, 3, 2, 1, 1, 0], [0, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 0, 3, 0], [3, 0, 1, 2], - [1, 1, 2, 3, 2, 3, 0, 3], [1, 0, 3, 2, 3, 2, 1, 2], [2, 1, 2, 3, 3, 2, 3, 0], [1, 2, 1, 1], [1, 0, 3, 2, 3, 3, 0, 1], [0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1], [1, 1, 2, 1, 2, 3, 3, 2, 1, 0], [0, 3, 0, 3, 3, 0, 1, 1], - [3, 0, 1, 1, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0], [1, 0, 1, 1, 0, 3, 2, 3], [1, 0, 3, 0, 1, 1, 0], [1, 1, 2, 3, 2, 3, 3, 0], [0, 3, 0, 1, 2, 1, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 3, 0, 3], [2, 1, 1, 1, 0, 1, 0], - [1, 1, 2, 1, 1, 2, 1, 2, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 1], [0, 1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 0, 1], [3, 0, 3, 3, 0, 1], [1, 0, 1, 2, 1, 0, 1, 1], [1, 1, 1, 0, 3, 0, 3, 0, 3, 0], [1, 0, 1, 0, 1, 2, 3, 0, 3, 0], - [3, 3, 0, 1, 0, 1, 1, 0], [1, 1, 0, 3, 3, 2, 1, 1], [3, 3], [2, 3, 2, 3, 0, 1], [0, 3, 3, 2, 1, 0, 1, 2, 3], [3, 2, 1, 1, 0, 3, 2, 3, 3], [1, 1, 0, 3, 2, 1, 1, 0, 3, 3], [0, 1, 1, 2, 3, 2, 1, 1, 0, 1], - [0, 1, 2, 1, 0], [2, 3, 3, 0, 1, 2, 1, 1], [2, 3, 0, 3, 0, 3, 0, 1, 1], [3, 0, 3, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3], [0, 1, 1, 2, 1, 0, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 1, 1], [2, 1, 1, 2, 3, 0, 3, 3], - [2, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0], [0, 3, 0, 1, 1, 1, 0, 3, 2], [0, 3, 0, 3, 0, 1, 2], [1, 2, 3, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 0, 3, 2, 3], [1, 0, 3, 2, 1, 1, 0], - [1, 0, 1, 0, 1, 1, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0], [2, 1, 2, 3, 3, 2, 1, 1, 2], [3, 3, 2, 1, 1, 1, 0, 3], [0, 3, 2, 1, 1, 1, 2, 3], [0, 1, 2, 3, 3, 0, 3], [1, 0, 1, 2, 3, 3, 2, 3, 3], [3, 0, 1, 0, 1, 1, 1, 2], - [0, 1, 2, 1, 1, 2, 1], [1, 0, 3, 0, 3, 2], [0, 1, 1, 1, 0, 1, 1], [1, 2, 1, 2, 1, 0, 3], [1, 0, 1, 1, 2, 1, 2, 3, 3], [2, 1, 0, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 2], - [1, 0, 1, 1, 0, 1, 0, 1], [3, 2, 3, 3, 2, 1], [2, 1, 1, 0, 1, 0, 1, 1, 1], [0, 3, 2, 1, 0, 1], [2, 3, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 3, 0], [1, 0, 1, 0, 1, 2], - [1, 1, 2, 3, 2, 1, 2], [1, 2, 3, 0, 3, 0, 3, 3], [1, 2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 2, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 2], [3, 2, 1, 1, 1, 0], [0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 3, 0, 1, 1, 2], - [1], [2, 3, 2, 3, 0, 3, 3], [2, 1, 2, 1, 0], [2, 1, 0, 1, 1, 0, 1, 2, 3], [1, 0, 1, 2, 3, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 3], [3, 2, 1, 0, 1, 2], [1, 0, 3, 0, 3, 2, 1, 1, 1], - [2, 3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 2, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 3], [1, 1, 2, 1, 1, 1, 2, 1], [2, 3, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 1, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 3], [0, 1, 2, 1, 0, 1, 1, 1], - [1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 0, 3, 0, 1, 2, 1, 1, 1], [2, 3, 3, 0, 3, 2, 3], [3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 2], [0, 3, 2, 1, 2, 1, 0, 3, 0], [3, 2, 3, 0, 3, 0], [1, 1, 2, 3, 0, 3, 2], - [0, 1, 1, 1, 0, 3], [1, 2, 1, 2, 1, 0, 1, 1], [0, 1, 0, 3, 0, 3, 2, 1, 2, 3], [0, 1, 1, 1, 2, 1, 1, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2], [1, 0, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2, 3], - [0, 1, 2, 3, 3, 0, 1, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3, 3], [0, 3, 0, 3, 3, 2], [0, 1, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 2, 3, 0], [3, 0, 1, 0, 3, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 2, 3, 0], - [0, 3, 2, 3, 2, 1, 1, 1, 0], [2, 1, 1, 1, 2, 3, 0, 1, 1, 0], [2, 1, 0, 3, 3, 0, 1], [1, 0, 1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 3, 2], [2, 1, 1, 2, 3, 0, 1], [1, 1, 0, 3, 2, 1, 1, 0, 1], [1, 2, 1, 0, 1, 2, 3, 0, 3], - [1, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 2, 3, 3], [3, 3, 2, 1, 2, 3, 3], [2, 1, 0, 3, 0, 3, 2, 1, 0], [0, 3, 2, 1, 0, 3, 3], [2, 1, 1, 0, 1, 0], [2, 3, 3, 2, 1, 0, 1, 1, 0], [2, 3, 0, 3, 0, 3, 0, 3], - [1, 1, 1, 0, 3, 0, 1, 1, 1], [2, 1, 1, 2, 1, 0, 1, 0], [0, 3, 0, 1, 2, 1, 1, 2], [3, 2, 1, 1, 0, 3, 2, 1], [0, 3, 0, 3, 2, 1, 0, 3], [3, 3, 2, 3, 3, 0, 1, 2], [1, 1, 1, 2, 3, 0, 1, 2, 1], [1, 0, 3, 0, 3, 3, 2, 3, 2], - [2, 3, 0, 1, 0, 1, 0, 3, 2], [3, 3, 2, 1, 1, 2, 1], [1, 1, 0, 1, 0, 3, 3, 2], [1, 2, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 3, 2, 3, 3, 2], [0, 3, 0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 0, 1], - [3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 0, 3, 3], [0, 3, 2, 1, 2, 1, 2, 1], [1, 0, 3, 2, 1, 2, 1, 2, 3], [1, 1, 2, 1, 0], [2, 3, 2, 3, 0, 3, 2, 1, 0], [3, 2, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 2, 3], - [0, 1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0], [0, 3, 3, 0, 1, 1, 1], [0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0, 1], [0, 3, 2, 1, 2, 1, 2, 3, 3], [0, 1, 0, 1, 0, 3, 0, 3], [0, 1, 0, 1, 0, 3, 0, 1, 1], - [3, 0, 3, 2, 3, 2], [1, 0, 3, 3, 2, 1, 2], [0, 1, 0, 3, 3, 0, 3, 3, 0, 3], [1, 0, 3, 2, 3, 3, 2, 1], [1, 1, 0, 3, 3, 0, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 3, 0, 1], - [3, 2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 0, 3, 3, 0, 1, 0, 3], [0, 3, 2, 3, 2, 3, 3, 0, 1], [3, 3, 2, 1, 1, 2, 3, 3], [1, 1, 0, 3, 0, 3, 3, 2], [3, 0, 3, 3, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 2], [3, 0, 1, 2, 3, 0, 3, 3], - [3, 3, 2, 3, 0, 1, 1, 1, 0], [3, 2, 3, 2, 1], [0, 1, 0, 3, 3, 2, 1, 1], [2, 3, 0, 3, 2], [2, 3, 3, 0, 1, 0, 1, 0], [3, 3, 0, 3, 0, 1, 1, 0], [0, 1, 0, 1, 2, 3], [2, 1, 1, 0, 1, 1, 0, 3, 3], - [0, 1, 2, 1, 1, 1, 2, 1], [1, 1, 1, 0, 1, 2, 3, 3], [2, 1, 2, 3, 0, 3, 2, 3], [1, 1, 1, 0, 1, 2, 1], [1, 0, 1, 1, 1, 0, 1, 2], [0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1], [1, 2, 3, 0, 3, 3, 0, 3, 2], - [3, 0, 1, 1, 2, 1, 0, 3, 2, 3], [1, 2, 1, 0, 3, 2, 3, 0, 3], [1, 2, 1, 2, 3, 0, 3, 0, 3, 0], [1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 1, 2, 1, 1, 0, 3, 0, 3, 0], [3, 2, 3, 2, 3, 3], [0, 3, 0, 1, 0, 1, 2], [1, 0, 1, 1, 2, 3, 0], - [1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 1, 0, 3, 2, 3, 3], [0, 3, 3, 0, 1, 1, 2], [0, 1, 0, 1, 0, 3, 3, 0, 1, 2], [1, 1, 1, 2, 1, 1, 1, 2, 3], [3, 3, 2, 1, 1, 0], [1, 0, 3, 0, 3, 0, 1, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0, 3, 3], - [3, 2, 1, 0, 1, 0, 1], [1, 0, 3, 2, 3, 2, 1, 2, 3], [1, 0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 0, 3, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 0, 1], [0, 3, 2, 3, 3, 2, 3], [0, 3, 3, 0, 3, 2], - [2, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 2], [0, 1, 1, 1, 0, 1, 0, 1, 0], [2, 3, 3, 2, 3, 3, 2, 3, 2], [0, 3, 0, 3, 3, 0, 1], [2, 1, 2, 3, 3, 2, 3, 0, 3], [1, 2, 1], - [3, 2, 3, 0], [0, 1, 0, 3, 2, 1, 1, 1], [1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 3, 3, 0, 3, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1], [3, 0, 1, 0, 1, 0, 3, 3], [3, 0, 3, 3, 0, 1, 2, 1, 1, 0], [3, 2, 3, 2, 1, 1, 1, 2], - [3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 1, 2, 1, 1, 0, 3, 0], [3, 0, 1, 2, 3], [1, 2, 1, 1, 1, 0, 3, 2, 3], [1, 1, 2, 1, 0, 1, 1, 2], [0, 3, 2, 1, 2, 1, 0], [3, 0, 1, 0, 3, 3, 0, 3, 3, 0], - [0, 1, 1, 0, 1, 0, 1, 2, 1, 0], [1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 3, 2, 3, 3], [1, 2, 1, 1, 0, 3, 0, 3, 0], [0, 1, 1, 2, 3, 0, 3, 3], [1, 1, 0, 1, 1, 2, 3, 2, 1], [1, 1, 2, 1, 0, 3, 2], [0, 3, 0, 1, 2, 1, 2, 3, 3, 0], - [0, 1, 2, 1, 0, 1, 2, 3, 0], [3, 0, 1, 1, 2, 3, 3], [1, 2, 3, 0, 3, 0, 1, 2, 1], [1, 2, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3, 2], [2, 1, 2, 1, 1], [1, 0, 3, 3, 0, 1, 1, 1, 0, 1], [3, 3, 0, 3, 3, 0, 3, 3], - [0, 1, 0, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 3], [0, 1, 0, 3, 3, 2, 1, 2], [2, 3, 0, 3, 2, 3, 2], [0, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 3, 3, 0, 3], - [0, 3, 0, 1, 0, 1, 0, 3], [0, 3, 0, 3, 2, 1], [2, 3, 3, 2, 3, 3, 0, 3], [3, 2, 1, 1, 1, 2, 3, 0, 1], [1, 1, 0, 1, 1, 0], [1, 0, 1, 2, 1], [1, 1, 1, 0, 1, 2, 1, 2, 3], [1, 2, 3, 2, 1, 1, 0, 1, 0], - [0, 1, 2, 3, 2, 3, 3, 0, 1], [1, 1, 0, 3, 3, 0], [1, 1, 2], [2, 3, 2, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 3, 2, 3], [1, 0, 3, 2, 1, 1, 2, 3, 0, 1], [3, 2, 1, 2, 3, 3, 0, 1], [1, 2, 1, 0, 1, 2, 3], - [3, 3, 0, 3, 0, 1], [2, 3, 3, 0, 1, 0], [2, 3, 0, 3, 0, 3], [1, 1, 1, 2, 3, 0, 3, 3], [0, 3, 0, 3, 3, 2, 1, 2], [3, 2, 1, 0, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 2], [2, 1, 1, 2, 3, 0, 1, 1, 2], - [1, 1, 2, 3, 0, 3, 2, 1, 2], [3, 2, 3, 0, 3, 0, 1, 2], [1, 1, 0, 1, 0, 3, 3, 0, 3], [3, 0, 1, 2, 1, 2, 1, 0, 1], [3, 2, 3, 2, 3, 3, 2, 3], [3, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 1, 0], - [3, 0, 3, 2, 3, 0, 3], [1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 2, 1, 1, 2, 3, 0, 3], [0, 3, 3, 0, 1, 1, 1, 2, 3], [0, 3, 2, 1, 2, 1, 2, 1, 2, 3], [2, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 1, 1, 1, 2, 1, 2, 3], [0, 1, 1, 1, 2, 3, 3, 0], - [0, 1, 2, 1, 1, 2, 3, 2], [1, 0, 3, 0, 3, 2, 3, 3, 2], [0, 1, 1, 1], [0, 1, 0, 3, 0, 3, 2, 3, 0], [0, 1, 0, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 3, 0, 1, 2, 1, 2], - [2, 3, 3, 0, 3, 0], [3, 2, 3, 3, 2, 3, 2], [2, 1, 1, 0, 1, 0, 1, 2], [0, 3, 2, 1, 0, 3, 2], [2, 3, 0, 1, 2, 1, 0], [2, 1, 2, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 3, 0, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 2, 1], - [1, 2, 1, 2, 3, 2, 3, 2], [3, 0, 1, 0, 1, 1, 0, 1], [3, 3, 2, 3, 0, 1, 1], [3, 2, 3, 2, 1, 2, 3], [1, 2, 3, 3, 2, 3, 2, 1, 1, 1, 0], [3, 2, 1, 1, 1, 0, 3, 3, 2], [2, 1, 2, 1, 0, 1, 2], [2, 1, 0, 1, 1, 0, 1, 0], - [0, 1], [1, 1, 1, 2, 1, 0, 1, 2, 1], [3, 3, 0, 3, 0, 3], [2, 3, 3, 0, 1, 0, 3, 3], [1, 0, 1, 2, 3], [1, 1, 0, 1, 1, 0, 3, 3], [3, 2, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 2, 1, 2, 1, 0], - [0, 1, 1, 2, 1, 0, 3, 0], [0, 1, 0, 1, 0, 3, 2, 1, 1, 2], [0, 1, 1, 2, 1, 1, 0, 1, 0], [1, 1, 2, 3, 3], [2, 1, 2, 1, 2, 1, 2, 3], [1, 2, 1, 2, 1, 1, 1, 0], [3, 2, 3, 2, 3, 0, 3, 2], [3, 0, 1, 0, 1, 1, 0, 3], - [1, 2, 3, 2, 3, 3, 2, 1], [1, 2, 1, 0, 3, 0, 3, 2], [0, 3, 2, 1, 2, 3, 3, 0], [2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 2, 1, 1, 1, 0, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 0, 3], [3, 2, 1, 0, 1, 1, 2, 3], [2, 3, 2, 1, 2, 1, 0, 1], - [0, 1, 1, 1, 0, 3, 3, 0, 1], [3, 0, 3, 3, 2, 3, 3, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0], [2, 1, 2, 3, 0, 3, 3, 2], [2, 3, 0, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 0], [3, 0, 3, 0, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 0, 3] -] -private def clayworthWitnessData_chunk2 : Array (List (Fin 4)) := #[ - [0, 1, 2, 3, 3, 0, 1, 0, 1], [2, 3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 0, 1, 0, 3, 0], [1, 1, 1, 0, 3, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2, 3, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2], [0, 3, 0, 1, 0, 3, 3, 2, 1, 2], [0, 1, 2, 3, 2, 3, 0, 3, 0], - [0, 1, 0, 3, 2, 3, 2, 1, 0, 3], [3, 2, 1, 1, 2, 1, 1, 1, 2], [2, 1, 0, 3, 3, 2, 1], [0, 3, 0, 3, 2, 3], [0, 1, 1, 0, 3, 2, 3, 0, 1], [2, 1, 1, 2, 3, 2, 1], [1, 0, 3, 0, 3, 0, 3, 0], [2, 1, 2, 3, 3, 2, 1, 0, 3], - [0, 1, 0, 1, 1, 1, 2], [3, 3, 2, 3, 0], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 3, 3, 0, 3, 3, 2, 3], [0, 3, 2, 1, 0, 1, 1, 1, 0, 1], [1, 0, 3, 0, 3, 3, 0, 3], [0, 1, 2, 3, 0, 1, 1, 2, 3], [0, 1, 0, 1, 0, 3, 2, 3, 2], - [1, 2, 3, 3, 0, 3, 3, 2], [1, 1, 0, 1, 2, 1, 1, 2, 1], [3, 0, 1, 1, 1, 0, 1, 1], [3, 2, 1, 1, 0], [1, 2, 3, 3, 0, 1, 2], [2, 1, 0, 3, 0, 3, 3, 2, 1], [1, 1, 1, 2, 3, 0, 1, 1], [2, 3, 0, 3, 0, 1, 1, 1], - [0, 3, 3, 0, 1, 0, 1, 0, 3], [2, 3, 0, 1, 2, 1, 1, 0], [0, 3, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 3], [3, 3, 0, 3, 0, 1, 2, 1, 0], [2, 3, 3, 0, 1, 1, 0], [3, 0, 1, 1, 2, 1, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1, 1], - [1, 0, 3, 3, 2, 1, 1, 1], [3, 0, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 2, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 3, 0], [1, 1, 0, 1, 0], [0, 1, 1, 1, 2, 3, 0], [0, 1, 2, 3, 3, 2, 3, 2, 1], - [1, 1, 0, 1, 1, 1, 0], [1, 0, 1, 2, 1, 2, 1, 0], [2, 1, 0, 1, 2, 3, 3], [1, 2, 3, 2, 3, 0, 1, 1, 2], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1, 1], [2, 1, 1, 0, 3, 2, 3], [3, 0, 3, 0, 3, 2], [1, 2, 1, 0, 3, 3, 0, 1, 1], - [3, 2, 3, 2, 3, 3, 0, 1, 1], [3, 2, 1, 1, 2, 3, 0, 3], [1, 2, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 3], [0, 1, 1, 1, 2, 1, 1, 1, 0], [1, 1, 0, 1, 0, 3, 2, 3, 2], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 3], [2, 1, 1, 2, 3, 3, 0, 1], - [1, 2, 3, 0, 1, 1, 1, 2], [1, 2, 3, 3, 2, 3], [2, 3, 3, 0, 3, 3, 0], [3, 2, 3, 3, 2, 3, 0, 3, 0], [0, 1, 1, 0, 3, 0, 3, 2, 1, 1, 2], [1, 1, 2, 1, 2, 1, 1], [1, 2, 1, 1, 2, 3, 2, 1, 2], [1, 2, 3, 0, 1, 1, 2, 3, 3], - [1, 1, 1, 2, 1, 0, 3, 2], [2, 3, 3, 2], [2, 1, 0, 3, 2, 3, 2, 3], [2, 1, 0, 1, 1, 2], [2, 1, 1, 2, 1, 0, 3, 2, 3], [1, 1, 2, 1, 2, 3, 3, 0, 1, 2], [1, 2, 3, 2, 1, 1, 0, 3, 3, 0], [1, 2, 3, 0, 3, 3, 0, 1], - [1, 0, 1, 1, 0, 1, 1, 2, 1], [3, 2, 3, 3, 0, 1, 2, 1], [1, 0, 1, 2, 3, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 2, 3, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0], [0, 3, 0, 1, 0, 1, 1, 1], [3, 0, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 1, 2], - [0, 1, 0, 1, 2, 3, 0, 1, 1], [0, 1, 1, 2, 1, 1, 1, 2, 1, 2], [2, 3, 2, 3, 0, 3, 0, 3, 0], [1, 1, 0, 3, 0], [2, 3, 0, 1], [2, 1, 2, 3, 2, 3], [0, 1, 1, 1, 2, 1, 0], [0, 1, 0, 3, 0, 3], - [0, 3, 0, 3, 0, 3, 2, 3], [0, 1, 0, 1, 1, 2, 3, 3, 0], [1, 2, 1, 1, 2, 1, 2, 3], [2, 1, 2, 3, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1, 1], [3, 3, 0, 3, 3, 0, 3, 0], [0, 1, 0, 3, 2, 3, 0, 3], [3, 2, 3, 0, 1, 1, 0, 3], - [0, 1, 2, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 2, 1, 2, 1, 0], [0, 3, 3, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 0], [0, 1, 0, 3, 2, 3, 3, 0], - [1, 0, 1, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 2, 3], [0, 3, 2, 3, 2, 3, 0], [2, 1, 1, 2, 3, 3, 2, 1, 1], [3, 0, 1, 2, 1, 2, 3, 2], [1, 2, 1, 1, 1, 0, 3], [0, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 0], - [1, 2, 1, 1, 1, 2, 3, 2], [3, 0, 1, 1, 2, 3, 0], [2, 1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1], [2, 3, 2, 1, 1], [1, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 0, 1, 1], - [2, 1, 0, 1, 1, 1, 2, 1, 1], [2, 3, 3, 2, 3, 0, 1, 1], [0, 3, 2, 1, 0, 1, 1, 0, 1], [0, 1, 1, 2, 3, 2, 3], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2, 1], [3, 2, 1, 2, 1, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 2, 1], - [0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 3], [1, 0, 1, 1, 0, 3, 3], [0, 1, 2, 1, 0, 1, 0, 1], [1, 0, 1, 0, 3, 2, 3], [0, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 0, 1, 0, 3, 2], [3, 0, 1], - [1, 1, 2, 3, 2, 3, 0, 3, 0], [1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 0, 1, 2, 3], [1, 2, 1, 1, 0], [1, 0, 3, 2, 3, 3, 0, 1, 0], [0, 1, 1, 2, 3, 3, 0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 1, 0], - [1, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 1, 0, 3, 3], [1, 1, 2, 3, 2, 1, 2, 1, 0, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2], - [0, 1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 1, 1], [1, 1, 1, 0], [2, 3, 2, 3, 2], [1, 0, 1, 1, 0, 1, 2], [3, 2, 3, 3], [2, 3, 0, 3, 2, 3, 0, 3], [0, 1, 0, 3, 3, 2, 1, 0, 3], - [0, 1, 2, 3, 3, 0, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2, 3, 3, 0], [2, 3, 2, 1, 0, 3, 3], [1, 1, 2, 1, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 0, 1], - [1, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1], [0, 1, 1, 1, 2, 3, 3, 2, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 1, 1, 2], [3, 2, 3, 2, 1, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2, 1], - [3, 3, 2, 1], [2, 3, 2, 3, 0, 1, 2, 1], [1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 3, 0], [1, 2, 1, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0, 1], - [0, 3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3], [0, 1, 2, 1, 0, 3, 0], [2, 3, 3, 0, 1, 2, 1, 0], [1, 1, 0, 3, 3, 2, 1, 0], [0, 3, 3, 0, 3, 0, 3], [1, 2, 1, 1, 0, 3, 0, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2, 3], - [0, 3, 3, 2, 1, 0, 3, 2], [2, 1, 1, 2, 3, 2, 3, 2, 1, 2], [0, 1, 2, 3, 3, 2, 3, 3, 2], [0, 3, 2, 1, 2], [1, 2, 1, 0, 1, 1, 1, 0, 3], [1, 1, 0, 3, 0, 3, 0, 3, 2], [3, 3, 2, 1, 2, 1, 2, 1], [1, 2, 3, 3, 0, 1, 0, 1, 1], - [3, 0, 3, 3, 2], [1, 0, 1, 2, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 3], [2, 1, 2, 3, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 1, 2, 3], [1, 2, 1, 2, 3, 3, 0, 3, 0], - [0, 1, 1, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 2, 3, 3, 0], [0, 1, 2, 1, 1, 2, 1, 2, 1], [1, 0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0, 1, 2], [0, 3, 0, 3, 2, 1, 0, 1, 0], - [1, 0, 3, 3, 2, 1, 1, 2], [3, 0, 3, 0], [2, 1, 2, 1, 0, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 2, 1], [1, 2, 1, 0, 3, 3, 0, 1, 2], [3, 0, 3, 0, 3, 2, 3, 2], [3, 2, 1, 0, 3, 2, 1, 1, 2], [3, 0, 3, 2, 1, 0, 1], - [2, 3, 2, 1, 2, 1, 2, 3], [3, 2, 3, 0, 3, 0, 3, 2, 3], [2, 3], [1, 1, 1, 2, 1, 0], [0, 1, 0, 3, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 2, 1], [1, 1, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2, 3, 3, 2], - [1, 1, 0, 1, 2, 3, 3, 2, 3, 3], [1, 1, 0, 3, 2, 1], [1, 1, 2, 1, 1, 2, 1, 1, 0], [0, 1, 1, 1, 2, 3, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3, 2], [1, 2, 1, 1, 2, 3, 2, 1, 1], [2, 3, 3, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 3, 2, 1, 1, 2, 3], - [1, 2, 1, 2, 1, 2, 3, 0], [2, 3, 3, 0, 3, 3, 2, 1], [2, 3, 0, 1, 0, 1], [0, 1, 2, 1, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 2], [0, 3, 3, 2, 1, 2], [1, 1, 2, 1, 1, 1, 0, 3], [2, 1, 1, 2, 1, 2, 3, 3], - [0, 3, 2, 1, 1, 0], [0, 1, 2, 3, 3, 2, 3, 0], [2, 1, 1, 1, 0, 1, 2, 3, 3, 0], [3, 2, 1, 2, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3, 2], [3, 2, 1, 1, 0, 3, 0, 3], [0, 1, 0, 1, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3, 3, 0], - [2, 3, 3, 2, 3, 2], [2, 1, 0, 1, 1, 1], [1, 0, 3, 2, 3, 2, 3, 0], [1, 0, 3, 0, 1, 2, 1, 1], [0, 1, 1, 0, 3, 2, 3, 2, 3], [2, 1, 1, 2, 3, 3], [0, 1, 0, 3, 0, 3, 3, 2], [0, 1, 1, 1, 2, 1, 0, 3, 2], - [3, 2, 3, 3, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 0], [2, 3, 0, 3, 0, 1, 1, 0, 3], [1, 1, 0, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2], [0, 1, 1, 2, 1, 1, 1, 2, 1, 1], [1, 2, 3, 2, 1, 1, 2, 3, 2], [3, 3, 2, 1, 0, 1, 0], - [2, 3, 2, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 3, 0, 1, 2], [1, 1, 0, 1, 2, 1], [1, 0, 1, 1, 2, 3, 2, 1, 2], [2, 1, 1, 2, 1, 1, 1, 2, 3, 2], [2, 3, 0, 1, 2, 1, 1, 2, 1], [1, 2, 3, 0, 3, 3], [1, 2, 3, 3, 2, 3, 0, 1], - [2, 3, 2, 1, 1, 1, 0, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1], [0, 1, 1, 2, 1], [1, 1, 2, 3, 3, 2, 3, 2, 3], [3, 0, 3, 3, 0, 1, 0], [3, 3, 2, 3, 3, 2, 3], [0, 1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3, 2], - [3, 2, 1, 1, 0, 1, 2, 1], [0, 1, 2, 1, 0, 3, 0, 3, 2], [3, 3, 0], [2, 3, 2, 3, 0, 1, 0], [0, 3, 3, 2, 1, 0, 1, 2, 3, 0], [1, 2, 3, 0, 1, 1, 0, 3, 3], [1, 0, 1, 0, 3, 3, 2, 1, 0, 1, 1], [1, 1, 0, 3, 2, 3, 0, 3, 3], - [0, 1, 2, 1, 2], [1, 1, 1, 0, 1, 1, 1, 2, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3, 2], [3, 0, 3, 3, 2, 3, 2], [1, 0, 3, 2, 3, 0, 3, 0], [0, 1, 2, 3, 0, 1, 1, 0, 1], [0, 1, 1, 0, 3, 2, 1, 1, 1, 0], [1, 2, 1, 2, 1, 1, 2, 3], - [3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 1, 0, 3], [0, 3, 0, 3, 0, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3, 3], [1, 2, 1, 1, 0, 3, 2, 3, 0], [1, 0, 3, 2, 1, 1, 2], - [3, 2, 3, 0, 1, 1, 2, 1, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1], [2, 1, 2, 3, 3, 2, 1, 1], [1, 2, 1, 1, 2, 1, 1, 1], [3, 2, 1, 0, 1, 1, 0, 1], [0, 1, 2, 3, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 0, 1, 1], [3, 0, 1, 0, 1, 1, 1], - [0, 1, 2, 1, 1, 2, 1, 0], [1, 0, 3, 0, 3], [0, 1, 1, 1, 0, 1, 1, 0], [1, 2, 1, 2, 1, 0, 3, 0], [2, 1, 2, 1, 2, 1, 0, 1], [2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 1, 2, 1, 0, 3, 0], [0, 3, 0, 1, 2, 1, 0, 3], - [1, 1, 2, 3, 3, 2, 1, 2], [3, 2, 3, 3, 2, 1, 0], [1, 2, 3, 3, 0, 1, 2, 1, 2, 1], [0, 3, 2, 1, 0, 1, 0], [3, 0, 1, 2, 1, 2, 1, 1], [2, 1, 2, 1, 2, 3, 0, 3], [1, 1, 1, 0, 3, 2], [1, 0, 1, 0, 1], - [1, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0], [1, 2, 3, 3, 0, 1, 0, 1, 2], [3, 3, 2, 1, 2, 1, 0], [3, 0, 1, 1, 0, 1, 1], [3, 2, 1, 1, 1, 2], [0, 1, 2, 3, 2, 3], [0, 3, 2, 3, 0, 1, 1], - [2, 1, 2, 1, 0, 3, 3], [0, 3, 2, 3, 0, 1, 1, 2, 1], [3], [2, 3, 2, 3, 0, 1, 1], [0, 3, 2, 3, 0, 3, 2, 3, 2], [3, 2, 3, 3, 2, 1, 1], [2, 1, 2, 1, 1, 2, 1, 0], [0, 1, 2, 3, 0, 1, 2, 3, 3], - [0, 1, 2, 3, 3, 0], [0, 3, 2, 1, 1, 1, 2], [0, 1, 1, 2, 1, 2, 1], [3, 0, 3, 3, 2, 1, 1, 0], [0, 1, 1, 0, 3, 2, 3, 3], [2, 1, 1, 2, 3, 0, 3], [1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 0, 1, 2, 1, 1, 2], - [3, 3, 0, 3, 3, 2, 3, 3, 2], [3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 2, 3, 3, 2, 3], [0, 3, 2, 3, 2, 3, 0, 3, 2], [1, 1, 0, 3, 2, 1, 1, 0, 3], [0, 3, 0, 3, 0, 1, 1, 0, 3, 0], [0, 3, 3, 2, 1, 0, 1, 2], [3, 2, 1, 1, 0, 3, 2, 3], - [1, 1, 1, 0, 1, 1, 0], [2, 3, 2, 3, 2, 1, 1, 0], [1, 0, 1, 0, 1, 2, 1], [1, 1, 1, 0, 3, 0, 1], [0, 1, 2, 1, 1, 2, 1, 1], [1, 0, 3, 0, 3, 2, 1], [1, 1, 2, 3, 2, 1, 2, 1], [1, 2, 3, 0, 3, 0, 3], - [2, 3, 3, 2, 3, 0, 1, 2], [3, 2, 1, 1, 1, 0, 1], [0, 1, 2, 1, 0, 1], [1, 0, 1, 1, 0, 1, 1, 1, 2], [1, 1, 0, 3, 3, 2, 1, 1, 1], [1, 1, 2, 1, 1, 1, 2, 3], [0, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 0, 1], - [0, 3, 0, 3, 0, 1, 2, 1], [1, 2, 3, 2, 3, 3, 0, 3], [2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 1, 0, 1, 1], [1, 1, 0, 3, 0, 3, 2, 1, 0, 3], [2, 1, 2, 1, 2, 3, 0, 3, 2, 1], [2, 1, 1, 1, 0, 3, 0, 3, 0], [1, 2, 1, 1, 2, 1, 2, 3, 3, 2] -] -private def clayworthWitnessData_chunk3 : Array (List (Fin 4)) := #[ - [3, 0, 3, 3, 0, 1, 1], [3, 0, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1], [1, 2, 1, 2, 1, 0], [1, 0, 1, 1, 2, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3], [0, 3, 0, 1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 2, 3, 3, 0, 1], - [1, 2, 1, 1, 0, 3, 2], [1, 0, 3, 2, 1, 1, 0, 1], [1, 1, 1, 2, 1, 1, 2], [2, 3, 2, 1, 2], [1, 0, 1, 0, 1, 1, 0, 3, 0], [1, 1, 1, 2, 3, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 2, 1, 0, 1, 1, 1], - [3, 0, 1, 0, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1, 1, 2, 1, 1], [0, 3, 0, 1, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 1, 0, 1, 2, 3], [1, 0, 1, 0, 3, 3, 2, 1, 0], [1, 1, 0, 3, 2, 3, 0, 1, 1], [0, 1, 0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 3, 0, 1, 1, 0, 1, 1], - [1, 1, 1, 0, 3, 2, 3, 3], [1, 0, 1, 0, 3], [3, 2, 3, 3, 0, 3, 3, 0], [1, 0, 1, 1, 0, 3, 0], [0, 3, 2, 3, 0, 3, 0, 1, 2], [0, 1, 2, 3, 2, 1, 1, 0, 1, 2], [3, 2, 3, 0, 1, 2, 1], [0, 1, 0, 3, 2, 3, 3, 2, 1], - [0, 3, 3, 0, 3, 2, 1, 1, 2], [0, 3, 2, 3, 3, 2, 1, 2], [3, 3, 0, 3, 3], [2, 3, 2, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2], [1, 2, 1, 1, 1, 0, 3, 0, 1], [0, 1, 1, 2, 3], [1, 1, 1, 0, 1, 0, 1, 2, 1], - [1, 2, 1, 1, 1, 2], [3, 0, 1, 1, 2, 3, 2, 1], [0, 3, 0, 3, 0, 3], [0, 3, 0, 1, 1, 2, 3, 2, 1, 1], [2, 3, 2, 1, 1, 0, 1], [0, 1, 1, 2, 3, 3, 0, 1, 2], [0, 1, 2, 1, 2, 3, 3], [2, 1, 1, 1, 0, 1, 0, 1, 2], - [1, 0, 1, 0, 3, 3, 0, 1, 2], [0, 3, 2, 3, 2, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3, 0], [3, 2, 1, 2, 1, 1, 1], [1, 1, 1, 2, 1, 1, 1, 2, 1, 2], [0, 1, 1, 0, 1, 0, 3, 0], - [0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 3, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 1, 2], [0, 1, 0, 3, 2, 3, 2], [0, 1, 2, 3, 2, 1, 1, 1], [0, 3, 2, 3, 0], [1, 2, 1, 1, 0, 1, 0], [3, 0, 1, 0, 1], - [2, 3, 2, 1, 1, 1, 0], [1, 1, 1, 2, 3, 3, 0], [2, 1, 2, 3, 3, 2], [1, 2, 1, 1, 2, 1], [1, 0, 3, 2, 3, 0, 3, 0, 3, 3], [0, 1, 2, 3, 0, 1, 1, 0, 3], [3, 2, 1, 1, 0, 1, 2, 3], [2, 1, 1, 0, 3, 3, 2], - [3, 0, 1, 1, 0], [3, 2, 1, 1, 1, 2, 3, 3], [0, 1, 2, 1, 1, 2, 1, 0, 3, 3], [1, 0, 3, 0, 1, 1, 1], [1, 1, 2, 3, 2, 3], [3, 3, 2, 1, 0, 3, 3, 0], [2, 1, 0, 3, 2, 3, 3, 2], [2, 1, 1, 1, 0, 1, 1], - [1, 0], [2, 3, 2, 3, 0, 3, 3, 0], [2, 1, 2, 1, 2], [2, 3, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0], [0, 1, 2, 1, 2, 3, 2, 3], [3, 2, 1, 0, 1], [1, 2, 1, 1, 1, 2, 1, 2, 3], - [0, 3, 2, 3, 3, 0, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 0], [1, 1, 0, 3, 3, 2, 3, 0], [1, 1, 2, 1, 1, 1, 2, 1, 0], [1, 1, 2, 3, 2, 1, 1, 2, 1], [0, 1, 2, 1, 1, 1, 0, 3, 2], [2, 3, 3, 0, 1, 2, 3, 0], [1, 1, 1, 0, 1, 0, 3, 2], - [1, 0, 1, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 2, 1, 2, 1], [3, 3, 0, 3, 2, 3], [2, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3], [0, 3, 2, 1, 2, 1, 0, 3, 2], [3, 2, 3, 0, 3, 2], [1, 1, 2, 3, 0, 3], - [0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 2, 1, 0, 1, 1, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 2, 1, 1], [0, 1, 2, 3, 0, 1], [1, 0, 1, 2, 1, 0, 3, 0], [1, 1, 0, 1, 1, 2, 3, 0], - [0, 1, 2, 3, 3, 0, 1, 1, 0], [1, 0, 3, 3, 0, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 0, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 1, 1, 0, 1], - [0, 3, 2, 3, 2, 1, 1, 1, 2], [3, 3, 2, 1, 0, 3, 2, 3, 3], [2, 1, 0, 3, 3, 0, 1, 0], [3, 3, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 3], [3, 3, 0, 1, 2, 1], [3, 0, 1, 1, 2, 1, 1, 1, 2], [1, 2, 1, 0, 1, 2, 3, 0, 3, 0], - [1, 2, 3, 0, 3, 0, 1, 0], [1, 2, 1, 2, 3, 2, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 2, 1, 0, 3, 3, 0], [2, 1, 1, 0, 1, 2], [1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 2, 1, 2, 1, 2, 1], - [1, 1, 1, 0, 3, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 2, 3, 0, 1, 2, 3], [3, 3, 2, 3, 3, 0, 1], [1, 1, 1, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 3, 3, 2, 3], - [0, 1, 0, 1, 0, 3, 2], [0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1], [1, 2, 1, 0, 3, 0], [0, 3, 3, 0, 1, 0, 1, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3, 3], [1, 2, 1, 0, 1, 1, 0], - [3, 2, 1, 1, 2, 1], [0, 3, 0, 1, 1, 2, 1, 2, 1, 0], [3, 2, 3, 2, 3, 0], [0, 3, 3, 0, 1, 2, 1, 1, 1, 2], [1, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2, 1], [0, 1, 0, 1], [3, 3, 2, 3, 2, 3, 3], - [3, 0, 1, 1, 2, 1, 0, 3], [1, 2, 1, 0, 3, 2, 3, 2], [0, 1, 0, 1, 0, 1, 1, 2], [1, 1, 2, 3, 3, 0, 1], [3, 0, 1, 2, 3, 0, 1, 1, 0], [1, 0, 3, 0, 3, 3, 0, 3, 0, 1], [1, 0, 3, 3, 2, 1, 2, 1, 0], [1, 2, 3, 3, 0, 3], - [2, 1, 2, 3, 0, 3, 0, 1, 2], [0, 3, 0, 1, 0, 3, 3, 2, 3], [2, 3, 3, 2, 1, 2, 1, 1], [3, 2, 3, 2, 1, 1, 0], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0], [2, 1, 1, 2, 1, 0, 3, 0, 3], [0, 3, 2, 3, 2, 1, 0, 3], [2, 1, 1, 1, 2, 3, 2, 3], - [3, 2, 3, 2, 1, 1, 2, 3, 2], [1, 0, 1, 2, 3, 0, 1], [1, 0, 3, 2, 1, 2, 1], [1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 0, 1, 0, 3, 2, 1, 1, 1], [0, 1, 0, 1, 2, 1, 1, 1, 0], [1, 0, 3, 2, 3, 3, 2, 3, 0], [1, 2, 1, 2, 1, 1, 1, 2, 1], - [0, 1, 0, 3, 3], [3, 3, 2, 3, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 0, 3, 3, 2], [2, 1, 1, 0, 3, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 1, 2, 3], [2, 1, 2, 3, 0, 3], - [2, 3, 3, 2, 1, 2, 3], [1, 1, 1, 0, 1, 2, 3, 0], [1, 2, 3, 3, 0, 1, 1], [0, 1, 0, 3, 3, 0, 1, 1, 1, 2], [1, 0, 3, 3, 2, 3, 3, 2, 3], [3, 0, 3, 2, 1, 1, 2, 3], [0, 3, 3, 0, 1, 0], [0, 1, 0, 1, 0, 3, 3, 2], - [1, 2, 1, 0, 1, 1, 2, 1, 2], [1, 1, 0, 3, 0, 3, 3, 2, 1, 0], [2, 1, 1, 0, 3, 0, 3], [1, 1, 2, 1, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 2, 3], [3, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 3, 3, 0, 1, 2], [3, 2, 1, 1, 2, 3, 3], - [2, 3, 0, 1, 0, 1, 0, 3], [2, 1, 0, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 3, 3], [1, 2, 1, 1, 2, 3, 0, 1, 1], [2, 3, 3, 2, 3, 3], [2, 1, 0, 1, 1, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 2, 1, 0, 1, 0], - [3, 0, 1, 1, 1, 0, 3, 2], [1, 2, 1, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 2, 1, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 1], [1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 3, 3, 0, 1], [1, 2, 3, 2, 1, 1, 2, 3, 3], - [1, 0, 1, 2, 1, 1, 2], [0, 1, 1, 0, 1, 1, 0, 1], [0, 3, 3, 0, 1, 1, 1, 0], [0, 3, 2, 1, 1, 2, 3], [1, 2, 3, 0, 1, 1, 2, 1, 1], [1, 2, 1, 2, 1, 2, 3, 2, 3], [0, 1, 0, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 0, 3, 0, 1, 1, 0], - [3, 0, 3, 2, 3], [1, 0, 3, 3, 2, 1], [2, 1, 1, 0, 3, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0], [1, 1, 0, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2, 3], [3, 0, 3, 2, 1, 0, 1, 0, 3], [3, 2, 1, 0, 3, 2, 1], - [3, 0, 3, 0, 3, 3, 2, 1, 1], [0, 1, 0, 3, 0, 3, 0, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1], [1, 1, 0, 1, 2, 3, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3], [0, 1, 1, 2, 1, 1, 2, 3, 2, 1], [0, 3, 0, 1, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3, 3, 0], - [0, 1, 1, 0, 1, 1, 1, 2, 1], [3, 2, 3, 2, 1, 0], [1, 1, 1, 2, 1, 2, 3], [2, 3, 0, 3], [2, 3, 3, 0, 1, 0, 1, 2], [3, 3, 0, 3, 0, 1, 1, 2], [0, 1, 0, 1, 2, 3, 0], [2, 1, 1, 0, 1, 1, 0, 3, 3, 0], - [3, 2, 1, 2, 1, 0, 1, 1], [1, 1, 1, 0, 1, 2, 3, 3, 0], [0, 1, 1, 1, 2, 1, 0, 3, 3], [0, 1, 0, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 1], [0, 3, 3, 2], [1, 1, 2, 1, 0, 1, 1, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3], - [0, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 2, 3, 3, 2, 1], [1, 1, 0, 1, 1, 1, 2, 1, 0, 3], [1, 2, 3, 3, 2, 1, 1, 1], [0, 1, 2, 1, 1, 0, 3, 0, 3, 2], [3, 2, 3, 2, 3, 3, 0], [0, 3, 0, 1, 0, 1], [1, 0, 1, 1, 2, 3, 2], - [0, 3, 0, 3, 0, 3, 2, 1], [3, 2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 1, 2, 1, 2, 1], [2, 1, 2, 3, 3, 0, 1], [1, 1, 1, 0, 1, 2, 1, 2, 1, 2], [0, 3, 2, 3, 3, 0, 1, 2, 1], [0, 1, 0, 3, 2, 3, 0, 1], [3, 2, 3, 0, 1, 1, 0, 1], - [0, 1, 2, 3, 2, 3, 3, 2, 1, 0], [1, 2, 1, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3, 2], [0, 3, 3, 2, 1, 0, 3, 3], [0, 3, 2, 3, 3, 2, 1, 0, 1], [0, 3, 0, 1, 1, 0, 3, 0], [2, 1, 1, 0, 3, 3, 0, 1], [0, 1, 0, 3, 2, 3, 3, 0, 1, 1], - [1, 0, 1, 0, 3, 0, 3, 0, 1, 1], [3, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 0, 3], [2, 3, 0, 3, 3, 2, 3, 0], [3, 0, 1, 1, 2, 3, 2, 1, 2, 1], [1, 2, 1, 1, 1, 0, 1], [3, 3, 2, 1, 0, 3], [1, 1, 2, 3, 2, 3, 2, 1], - [2, 3, 3, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 2, 1, 0, 1], [1, 0, 3, 0, 3, 0, 1, 0, 3], [2, 3, 2, 3, 3], [1, 1, 1, 2, 3], [2, 3, 0, 1, 2, 1, 2, 1, 2, 3], [1, 1, 0, 3, 0, 3, 0, 3, 3], - [1, 2, 3, 0, 3, 2, 3, 2], [2, 3, 3, 2, 3, 0, 3, 3], [0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 3], [0, 1, 1, 2, 3, 2, 1], [2, 1, 2, 3, 3, 2, 1, 2, 1, 0], [3, 2, 1, 2, 1, 1, 2, 1, 1], [1, 1, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 0, 1, 2, 3, 2, 3], - [0, 1, 2, 3, 3, 2, 1, 1, 1], [0, 3, 2], [1, 0, 1, 1, 0], [3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 2], [0, 1, 1, 2, 1, 2, 3, 2, 3], [3, 2, 1, 1, 0, 3, 3, 2], [3, 0, 1, 1, 1], - [0, 1, 1, 1, 0, 1, 2, 3], [1, 0, 3, 3, 0, 3, 0], [0, 1, 2, 1, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1], [2, 3, 2, 1, 1, 0, 1, 2, 1], [2, 1, 2, 1, 0, 3, 0, 3, 2], [2, 1, 1, 1, 0, 1, 1, 2, 1], [1, 2, 3, 2, 3, 3, 2, 3, 2], - [1, 1, 0, 3, 3, 2, 1, 2, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3], [3, 2, 3, 0, 1, 2, 1, 2, 1], [2, 1, 2, 1, 2, 1, 1, 0], [0, 1, 1, 0, 1, 0], [1, 0, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 2, 1, 0, 3, 3, 2], [1, 0, 3, 0, 1, 1, 1, 2, 1], - [2, 1], [1, 1, 1, 2, 1, 0, 1, 1], [2, 1, 2, 1, 0, 3, 2, 1], [0, 3, 2, 3, 2, 1, 1, 2, 3], [1, 0, 1, 2, 3, 3, 0, 1], [2, 3, 3, 2, 1, 0, 1, 0], [3, 0, 3, 0, 1, 1, 0, 3], [0, 1, 2, 1, 1, 1, 0, 3, 3, 0], - [1, 2, 3, 3, 2, 1, 0, 3, 3], [3, 0, 1, 1, 2, 1, 1, 0], [2, 1, 1, 2, 1, 2], [1, 1, 2, 1, 1, 1, 0, 1], [0, 1, 1, 0, 3, 0, 3, 0], [1, 0, 1, 0, 3, 0, 1, 1, 0], [1, 1, 0, 3, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 0, 1, 1, 2, 1], - [1, 2, 3, 2, 3], [2, 3, 0, 1, 1, 1, 0, 3, 3], [1, 2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 0, 3, 3, 0, 1, 0], [3, 2, 1, 2, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3, 2], [3, 2, 3, 0, 3, 0, 3, 2, 1], [2, 1, 1, 2, 1, 2, 1, 2], - [2, 1, 0, 3, 0, 3, 0, 3], [0, 1, 0, 1, 1, 2, 1, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 3, 0], [3, 2, 1, 2, 1, 2, 3, 2], [3, 2, 3, 0, 3, 3, 0], [1, 2, 3, 0, 1, 2], [3, 0, 3, 0, 1, 1], [1, 0, 3, 3, 2, 1, 1, 2, 1, 1], - [0, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 1, 0, 3, 3, 2], [0, 3, 0, 3, 3, 2, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 0, 3, 2, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3, 3], [1, 1, 1, 0, 1, 0, 3, 3, 0], - [3, 0, 3, 0, 1, 1, 1, 2], [3, 3, 0, 3, 3, 0, 1, 1, 0], [2, 1, 0, 3], [1, 0, 1, 1, 2, 1, 0, 1], [0, 1, 1, 0, 3, 2, 3, 2, 1], [2, 1, 1, 2], [0, 3, 0, 3, 3, 0, 3, 0], [1, 1, 0, 1, 2, 3, 3, 2], - [1, 2, 3, 0], [3, 2, 3, 0, 3, 3, 2, 3], [2, 3, 3, 2, 1, 1, 0, 3, 2], [3, 2, 3, 3, 0, 1, 0, 1, 1], [0, 3, 2, 3, 2, 1, 1, 0], [0, 3, 3, 2, 1, 2, 1, 1], [1, 1, 0, 3, 2, 3, 3, 2], [1, 1, 0, 1, 1, 1, 2, 1, 1, 1], - [3, 0, 1, 2, 1, 1, 1, 0], [1, 1, 0, 1, 2, 1, 1, 1], [3, 0, 1, 1, 1, 0, 1, 0, 1], [3, 2, 1, 1, 0, 3, 0, 1], [0, 1, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 0, 3], [1, 1, 0, 1, 0, 3, 2, 1, 1], [2, 3, 0, 3, 0, 1, 1, 0, 1] -] -private def clayworthWitnessData_chunk4 : Array (List (Fin 4)) := #[ - [0, 3, 3, 0, 1, 2, 3, 0, 1], [3, 3, 0, 3, 0, 1, 1, 0, 3], [0, 3, 3, 0, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0, 1], [1, 1, 1, 2, 1, 1, 1, 2, 3, 0], [3, 3, 2, 1, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3], [3, 0, 1, 2, 3, 0, 1, 1, 1], - [3, 0, 3, 2, 3, 2, 3], [1, 0, 3, 3, 2, 1, 2, 3], [3, 3, 0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1], [1, 1, 0, 1, 0, 3, 3, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 1, 0], [0, 3, 2, 3, 3, 2, 3, 0], [0, 3, 3, 0, 3], - [2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 1, 2], [0, 1, 0, 1, 2, 3, 3], [0, 1, 1, 1, 0, 1, 0, 1, 2], [2, 3, 3, 2, 3, 3, 2, 3], [0, 3, 0, 3, 3, 0, 1, 0], [2, 1, 2, 3, 3, 2, 3, 0, 3, 0], [1, 2, 1, 0], - [3, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0], [1, 2, 1, 0, 1, 1, 1], [3, 0, 1, 1, 1, 0, 3, 0, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1, 0], [1, 2, 1, 0, 3, 2, 3, 0, 1], [1, 1, 2, 1, 0, 1, 2, 1, 0, 1], [3, 2, 3, 2, 1, 1, 1], - [1, 0, 3, 3, 2, 3, 3, 2, 3, 2, 1], [1, 2, 1, 0, 3, 2, 3, 0, 3, 3], [1, 1, 1, 2, 1, 1, 0, 3, 2], [3, 0, 1, 2, 3, 0], [1, 2, 1, 1, 1, 0, 3, 2, 3, 0], [1, 1, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2], [0, 3, 3, 0, 3, 3, 2, 1, 0, 1], - [0, 1, 1, 0, 1, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 2], [0, 3, 2, 3, 2, 3, 3, 0], [1, 2, 1, 1, 0, 3, 0, 3, 2], [0, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 2, 1, 1, 1], [1, 1, 2, 1, 0, 3], [2, 1, 1, 0, 3, 0, 3, 2, 1], - [0, 1, 2, 1, 0, 1, 2, 3, 2], [3, 0, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 3, 0, 1, 0, 1], [3, 2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 0, 1, 0, 1, 2, 3], [2, 1, 2, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 0, 1, 0, 3], - [0, 1, 0, 1, 2, 1], [2, 1, 1, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 2], [0, 1, 1, 2, 1, 2, 1, 2, 3, 2], [0, 1, 0, 3, 3, 2, 1], [2, 3, 0, 3, 2, 3], [0, 1, 2, 1, 1, 1, 2], [0, 3, 2, 1, 1, 1, 0, 3, 2], - [0, 3, 0, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 2, 1, 0, 3], [1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 0], [1, 1, 1, 0, 1, 2, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 0, 1, 2], - [0, 3, 3, 0, 3, 0, 3, 2, 3], [1, 1, 0, 3, 3, 2], [1, 1], [2, 3, 2, 3, 0, 3], [0, 3, 0, 1, 2, 1, 1, 2, 1], [3, 2, 1, 1, 0, 3, 2, 1, 1], [3, 2, 1, 2, 3, 3, 0, 1, 0], [1, 2, 1, 0, 1, 2, 3, 0], - [0, 1, 2, 1, 0, 3, 3], [2, 3, 3, 0, 1, 2], [2, 3, 0, 3, 0, 3, 0], [1, 1, 1, 2, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 3, 2, 1], [2, 1, 1, 2, 3, 0, 1, 1], - [1, 1, 2, 3, 0, 3, 2, 1], [3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 2, 3, 3, 0, 3, 3], [2, 1, 2, 1, 1, 2, 3, 2, 3], [0, 3, 0, 3, 0, 1, 2, 3, 3], [3, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 2], [0, 1, 0, 3, 0, 3, 2, 1, 2], - [3, 0, 3, 2, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0, 1, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 1, 2], [0, 3, 2, 3, 2, 1, 1, 1, 0, 1], [0, 3, 2, 1, 1, 1, 2, 1, 1, 1], [3, 0, 3, 0, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 1, 1], [0, 1, 1, 1, 2, 3, 3, 2], - [0, 1, 2, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 3, 3], [0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 3, 2, 3, 2], [0, 1, 0, 1, 2, 3, 2, 3, 0], [2, 1, 0, 3, 3, 0, 1, 1], [2, 3, 0, 1, 2, 1, 1, 1, 2], [0, 1, 2, 3, 0, 1, 2, 1], - [2, 3, 3, 0, 3, 2], [3, 2, 3, 3, 2, 3], [2, 1, 1, 0, 1, 0, 1], [0, 3, 2, 1, 0, 3], [2, 3, 0, 1, 2, 1, 2], [2, 1, 2, 3, 2, 3, 2, 1, 2], [1, 1, 1, 0, 3, 0, 3, 3], [1, 0, 1, 0, 1, 2, 3, 3], - [1, 2, 1, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 1, 1], [3, 3, 2, 3, 0, 1, 1, 0], [3, 3, 2, 1, 2, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 2, 1, 1, 1, 0, 3, 3], [2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 1, 0, 1, 2], - [1, 1, 1, 2, 3, 0, 3], [2, 3, 0, 3, 0], [2, 3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 1], [3, 2, 3, 2, 1, 2], [3, 3, 2, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 1, 1, 1, 0], - [0, 1, 0, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 0, 3, 0, 1, 1, 2], [3, 3, 0, 3, 0, 1, 1], [2, 3, 3, 0, 1, 0, 1], [3, 2, 1, 0, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 3, 3, 0], [1, 1, 2, 1, 0, 1, 1, 1, 2], [0, 1, 1, 0, 3, 2, 1, 2, 1], - [0, 3, 3, 0, 1, 1, 1, 2], [0, 3, 2, 1, 1, 2, 3, 0], [1, 0, 3, 0, 3, 2, 3, 3, 2, 1], [0, 1, 2, 1, 1, 2, 3, 2, 1], [1, 2, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1, 2, 1, 0], [2, 1, 2, 1, 2, 1, 2, 1, 1], [0, 3, 2, 1, 2, 1, 2, 1, 2], - [1, 2, 1, 0, 3, 3, 2], [3, 0, 1, 1, 1, 0, 3], [0, 3, 2, 1, 2, 1, 2, 3, 3, 2], [3, 3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 1, 1, 2, 3, 3, 0, 1], [0, 1, 2, 1, 1, 1, 2, 1, 2], [3, 2, 1, 2, 3, 3, 0, 1, 1], [1, 2, 1, 0, 1, 2], - [1, 1, 1, 0, 1, 2, 1, 2], [2, 1, 2, 3, 0, 3, 2, 3, 2], [2, 3, 3, 2, 3, 3, 0], [2, 1, 0, 1, 1, 1, 0, 3, 0], [0, 1, 1, 1, 2, 1, 1, 0, 1], [1, 2, 1, 2, 3, 0, 3, 0, 3], [2, 1, 0, 1, 1, 0, 1, 0, 1], [2, 1, 2, 1, 0, 1, 2, 1], - [2, 1, 1, 0, 1, 0, 1, 2, 1], [0, 3, 2, 1, 0, 3, 2, 1], [3, 2, 3, 2, 3, 3, 2], [0, 1, 2, 1, 1, 0, 3, 0, 3], [3, 3, 2, 1, 1, 2, 1, 2], [2, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 0, 1, 2, 3, 0, 3, 3], [0, 1, 2, 1, 0, 3, 2, 3, 0, 3], - [1, 0, 1, 2, 1, 1], [1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 1, 0, 1, 0], [1, 0, 1, 1, 2, 3], [0, 1, 1, 0, 3, 2, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 2, 3, 2], [0, 3, 3, 2, 1, 1, 2, 3, 0, 1], - [1, 1, 0, 3, 3, 0, 1], [0, 1, 2, 3, 2, 3, 3, 0, 1, 1], [1, 1, 2, 3, 0, 3, 2, 1, 2, 1], [3, 2, 3, 0, 3, 0, 1, 2, 1], [1, 0, 3, 3, 2, 1, 0], [3, 0, 3, 2, 3, 0], [0, 3, 3], [1, 0, 1, 1, 1, 0, 1, 0], - [0, 1, 0], [3, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 0, 3, 0, 1], [0, 1, 1, 0, 3, 3, 2, 1, 2], [1, 0, 1, 2, 3, 0], [1, 1, 0, 1, 1, 0, 3, 3, 0], [3, 2, 1, 2, 1, 0, 3, 2, 1], [0, 3, 0, 1, 2, 1, 2, 1, 2], - [0, 1, 1, 2, 1, 0, 3, 2], [0, 1, 0, 1, 0, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 2, 1], [1, 1, 2, 3, 3, 0], [2, 1, 2, 1, 2, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 1, 2], [3, 2, 3, 2, 3, 0, 3], [3, 0, 1, 0, 1, 1, 0, 3, 0], - [0, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 0, 3, 0, 3], [0, 3, 2, 1, 2, 3, 3, 2], [0, 3, 2, 3, 2, 1, 0, 3, 3], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 1, 2, 3, 0, 3, 0], [2, 1, 1, 0, 3, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 3], - [1, 2, 1, 0, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 3, 3, 2], [1, 1, 0, 1, 0, 1, 2, 1], [2, 1, 2, 3, 0, 3, 3], [2, 3, 0, 1, 1, 2, 1], [1, 0, 3, 2, 1, 2], [0, 3, 3, 0, 1, 0, 3], [1, 1, 0, 3, 0, 1, 2, 1], - [3, 2, 3, 2, 1, 1, 0, 3], [2, 3, 3, 2, 1, 2, 1], [1, 0, 1, 0, 1, 0, 3, 2], [1, 1, 1, 0, 3, 3, 2], [0, 1, 1, 1, 0, 1, 1, 2, 3, 2], [1, 2, 1, 0, 1, 1, 0, 3], [0, 3, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 3, 2, 3, 0, 3, 2], - [0, 1, 0, 3, 3, 0, 1, 2, 3], [3, 2, 1, 1, 2, 1, 1, 1], [2, 1, 0, 3, 3, 2, 1, 0], [0, 3, 0, 3, 2, 3, 0], [0, 3, 3, 0, 3, 3, 0, 3], [2, 1, 0, 1, 2, 3, 2, 1], [1, 0, 3, 0, 3, 0, 3, 2], [3, 0, 3, 2, 1, 1, 2, 1], - [0, 1, 0, 1, 1, 1], [3, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1, 2, 1], [2, 1, 0, 3, 2, 3, 0, 1], [3, 0, 1, 2, 3, 0, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 1, 0, 3, 2, 3], - [1, 2, 3, 3, 0, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 0, 3], [3, 0, 1, 1, 1, 0, 1, 1, 0], [3, 2, 1, 1, 2], [1, 2, 3, 3, 0, 1], [3, 3, 2, 1, 2, 1, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 1, 1], [2, 1, 0, 1, 2, 3, 2, 3, 3], - [3, 3, 0, 1, 2], [0, 1, 1, 0, 3, 3], [0, 1, 1, 2, 1, 1, 2], [1, 1, 2, 3, 3, 2, 3, 0], [1, 2, 1, 2, 3, 3, 2, 1, 2], [0, 3, 0, 1, 1, 1], [1, 0, 1, 2, 1, 0, 3, 0, 3], [1, 2, 1, 2, 1, 1, 0], - [1, 2, 1, 2, 1, 0, 1, 1, 0, 3], [0, 1, 1, 1, 0, 3, 0, 3], [1, 1, 2, 3, 0, 3, 3], [3, 2, 3, 0, 3, 2, 3], [2, 3, 0, 1, 1, 0, 1, 1, 2, 3], [2, 1, 2, 1, 2, 3], [2, 1, 0, 1, 2, 1, 0, 1], [3, 3, 0, 3, 2, 3, 3], - [0, 3, 0, 1, 1, 0, 1, 1], [1, 2, 1, 2, 3, 2, 3, 3, 0, 3], [1, 0, 1, 0, 1, 1, 2], [1, 1, 1, 0, 3, 2, 1, 2], [2, 3, 2, 1, 0, 1, 0], [1, 1, 1, 2, 1, 1, 0, 1, 0], [1, 0, 3, 0, 3, 2, 1, 2, 1, 0], [1, 1, 2, 1, 2, 3, 3, 2, 3, 2], - [3, 3, 2, 3, 3, 0], [0, 1, 0, 1, 1, 1, 0, 3, 0], [1, 2, 1, 1, 1, 2, 1, 2, 3, 3], [3, 2, 1, 0], [0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 0], [1, 2, 3, 0, 1, 1, 0, 3, 2], [2, 3, 3, 2, 1, 1, 1, 0, 1], [1, 2, 3, 3, 2, 1, 1, 2, 1, 1], - [0, 3, 0, 1, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2], [0, 3, 2, 1, 2, 1, 1, 1, 0], [0, 1, 2, 1, 1, 1, 0, 3, 2, 3], [1, 1, 2, 3, 2, 1, 1, 2], [0, 3, 2, 1, 2, 1, 0, 3, 2, 3], [2, 1, 1, 0, 3, 2, 1, 1, 0, 1], - [3, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 1], [1, 0, 3], [0, 3, 3, 2, 3, 2, 1, 1], [0, 3, 3, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0], [0, 1, 2, 1, 2, 1, 2], - [0, 1, 2, 3, 0], [1, 0, 1, 1, 1, 2, 1], [1, 0, 3, 3, 0, 1, 1], [1, 0, 1, 2, 3, 2, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 2, 3, 2], [0, 3, 3, 0, 3, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 3, 2, 3], - [0, 1, 0, 3, 0, 1, 1, 0, 1], [3, 0, 3, 3, 2, 1, 1, 1, 0], [3, 2, 1, 1, 0, 1, 0, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 0], [1, 0, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 0, 1, 0, 3, 0, 1], [0, 3, 0, 3, 2, 3, 2, 3, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], - [2, 3, 2, 1, 1, 0, 3, 2, 1], [2, 3, 0, 1, 2, 1, 1, 2], [0, 3, 3, 2, 1, 1, 0], [2, 1, 1, 1, 2, 3, 3, 0], [1, 0, 3, 2, 3, 2, 3, 0, 3], [1, 0, 3, 0, 1, 2, 1], [2, 1, 0, 3, 0, 3, 0, 1, 1], [0, 1, 0, 1, 1, 2, 1, 2, 1, 1], - [1, 0, 3, 3, 2, 1, 1, 1, 0], [3, 0, 3, 2, 1, 0], [2, 1, 1, 2, 1, 1, 1], [0, 1, 1, 0, 3, 2, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 3, 2], [1, 1, 0, 1, 2], [0, 1, 1, 1, 2, 3, 2], [0, 1, 0, 3, 0, 3, 2, 3, 3, 2], - [1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 1, 2, 1, 2], [2, 1, 0, 1, 2, 3, 3, 0], [1, 2, 3, 2, 3, 0, 1, 1], [1, 1, 1, 0, 3, 0, 3, 3, 0, 1, 2], [3, 2, 1, 2, 1, 2, 1], [3, 0, 3, 0, 3], [1, 0, 3, 3, 2, 1, 1, 2, 3], - [3, 0, 3, 0, 1, 1, 0, 1, 1], [3, 0, 3, 2, 1, 2, 1, 1, 2], [1, 2, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 1, 0, 3, 2, 3], [3, 2, 3, 0, 3, 0, 3, 2, 3, 3], [2, 1, 1, 2, 3, 3, 0, 1, 0], - [1, 2, 3, 0, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0], [2, 3, 3, 0, 3, 3, 2], [1, 2, 1, 2, 1, 2, 3, 0, 3], [0, 1, 1, 0, 3, 0, 3, 2, 1, 1], [1, 1, 2, 1, 2, 1, 1, 0], [1, 2, 1, 1, 2, 3, 2, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1], - [1, 1, 1, 2, 1, 0, 3], [2, 3, 3], [2, 3, 3, 2, 3, 2, 3], [2, 1, 0, 1, 1], [1, 1, 2, 1, 1, 1, 0, 3, 3], [1, 1, 2, 1, 2, 3, 3, 0, 1], [3, 2, 1, 1, 0, 3, 0, 3, 3], [1, 2, 3, 0, 3, 3, 0, 1, 0], - [0, 1, 1, 1, 2, 1, 0, 3, 2, 3], [0, 1, 0, 3, 0, 3, 3, 2, 3], [3, 2, 3, 3, 0, 1, 0, 3], [1, 0, 1, 1, 0, 1, 1, 0, 3], [0, 3, 0, 3, 2, 1, 2, 1, 2], [0, 3, 0, 1, 0, 1, 1, 1, 0], [2, 3, 0, 1, 1, 1, 0, 1], [1, 2, 3, 2, 1, 1], - [1, 1, 0, 3, 0, 3, 2, 3], [0, 1, 1, 2, 1, 1, 1, 2, 1], [2, 3, 2, 3, 0, 3, 0, 3, 2], [1, 1, 0, 3, 2], [2, 3, 0, 1, 0], [2, 1, 2, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0], - [1, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 3, 0, 1, 1, 0, 3], [0, 1, 1, 0, 1, 1, 0], [2, 1, 0, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1], [2, 1, 0, 1, 1, 1, 0, 3, 3], [1, 2, 3, 0, 1, 1, 2, 1], [0, 1, 1, 1, 0, 3, 0, 3, 3, 2], - [3, 0, 1, 1, 2, 1, 2, 1, 1], [3, 2, 1, 0, 3, 2], [0, 1, 1, 0, 1, 1, 1, 2], [3, 2, 3, 2, 1, 0, 3], [0, 3, 0, 1, 0], [1, 0, 1, 1, 2, 3, 2, 3], [1, 0, 1, 1, 1, 0], [0, 3, 3, 2, 3] -] -private def clayworthWitnessData_chunk5 : Array (List (Fin 4)) := #[ - [3, 0, 3, 0, 3, 3, 2, 1], [3, 0, 1, 1, 0, 3, 3, 0, 1], [1, 1, 0, 3, 0, 1, 1, 1], [0, 1, 1, 2, 1, 1, 2, 3, 2], [2, 3, 0, 3, 3], [1, 2, 3, 2, 1, 2, 1], [3, 2, 3, 2, 3, 3, 0, 3], [3, 2, 1, 1, 2, 3, 0, 1, 1], - [1, 0, 1, 0, 1, 1, 1, 0, 1], [2, 3, 3, 0, 1, 0, 1, 2, 3], [1, 0, 3, 3, 2], [3, 0, 3, 2, 3, 3], [1, 2, 3, 0, 3, 3, 0, 3, 3], [2, 3, 2, 1, 1, 0, 3, 0, 1], [2, 3, 2, 3, 3, 2, 1, 0], [1, 1, 0, 1, 2, 3, 2, 1], - [1, 2, 1, 1, 2, 3, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 2, 3, 0, 3, 3, 0], [1, 0, 1, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 0, 1], [1, 1, 1, 0, 1, 2, 3, 3, 0, 3], [1, 2, 1, 2, 1, 1, 0, 3, 2], [0, 1, 1, 2, 1, 1, 1, 0, 1], - [0, 3, 0, 1, 1, 2], [0, 3, 0, 3, 0, 1, 1, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1], [2, 1, 1, 0, 3, 2, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3, 0, 1, 0], - [1, 0, 3, 3, 0, 1, 2], [0, 3, 2, 1, 1, 2, 3, 3], [0, 3, 2, 3, 0, 1, 2, 1, 1, 0], [0, 3, 0, 1, 1, 0, 1, 2], [2, 1, 2, 1, 2, 3, 3, 2], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1, 1], [0, 1, 0, 3, 0, 1, 1], - [2, 1, 1, 2, 1, 1, 2, 1], [3, 2, 1, 0, 3, 3, 0], [1, 1, 2, 1, 2, 3], [1, 1, 2, 1, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 1, 1, 1], [2, 1, 0, 3, 2, 3, 2, 1, 1], [3, 0, 1, 1, 1, 2, 1, 1, 2], [1, 2, 3, 3, 2, 1, 1], - [2, 3, 3, 2, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3, 2, 1], [3, 0, 1, 0, 3], [1, 2, 1, 1, 0, 1, 0, 3, 3], [0, 3, 2, 3, 0, 3, 3], [0, 1, 2, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1], [3, 2, 1, 1, 2, 3, 0, 1, 2], - [3, 0, 3, 2, 1, 1, 1, 2], [0, 3, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 0, 1, 2, 3], [0, 1, 1, 2, 1, 1, 1], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2], [0, 1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 0, 3, 2, 3, 2, 1, 0, 3], [2, 3, 2, 1, 1, 1, 0, 3, 3], - [2, 1, 1, 2, 1, 1, 0], [1, 0, 1, 0, 3, 0, 3, 2, 3], [0, 1, 1, 0, 3, 3, 0, 1], [2, 1, 0, 1, 0], [2, 1, 1, 0, 3, 2, 1, 2], [3, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 1, 0, 3, 0, 3, 3], [3, 2, 3, 2, 1, 0, 3, 3, 2], - [3, 0, 1, 1, 2, 3, 2, 3], [1, 2, 1, 1, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2], [0, 3, 0, 3, 0, 1, 1, 1], [1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1, 2], [3, 0, 3, 0, 3, 2, 1, 1, 2], [1, 1, 2, 3, 2, 1, 1, 1], - [2, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 0, 1, 1, 2, 1, 2, 1, 0], [0, 1, 0, 3, 2, 3, 2, 3, 3], [0, 1, 0, 1, 1, 0, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2], [2, 1, 1, 0, 3, 3, 2, 3, 3], [1, 2, 3, 0, 1, 1, 0], [1, 2, 3, 3, 2, 3, 0, 3, 0], - [1, 1, 1, 0, 3, 2, 1, 1], [1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 2, 3, 2, 3, 0, 3], [2, 1, 0, 3, 2, 3, 2, 1, 2], [1, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 3, 3, 2, 1, 0, 3, 3], [1, 1, 0, 3, 0, 1, 1, 2], [1, 2, 1, 1, 2, 1, 2, 3, 0, 3], - [3, 3, 2, 3, 3, 2, 1], [1, 2, 3, 3, 2, 1, 2], [3, 0, 3, 0, 3, 3, 0], [3, 0, 1, 1, 0, 3, 3], [2, 1, 1, 1, 0], [0, 3, 3, 2, 3, 3, 2], [1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2], [3, 2, 1, 2, 1], - [1, 2, 1, 1, 2, 3], [1, 1, 0, 1, 0, 1, 1, 2], [0, 3, 0, 1, 1, 1, 0, 1], [2, 3, 2, 1, 1, 0, 3], [1, 1, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 2, 1, 1], [0, 1, 0, 1, 1, 0, 3, 0, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1, 1], - [1, 1, 1, 0, 1, 0, 3, 3, 2], [2, 3, 0, 1, 0, 3, 3, 2, 1], [0, 1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 1, 2, 1, 1, 1, 2, 3], [2, 1, 0, 3, 0, 3, 0, 3, 0], [1, 2, 3, 3, 2, 1, 0, 3], [1, 1, 0, 3, 0, 1, 1, 0, 3], [3, 0, 3, 0, 1, 1, 0, 3, 0], - [1, 1, 2, 1, 1, 1, 0, 1, 1], [2, 1, 1, 2, 1, 2, 1], [2, 3, 0, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3, 3, 2], [1, 1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 0, 3, 2, 3, 3, 2, 1], [1, 0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 1, 0, 3, 0, 3, 2], - [1, 0, 1, 1, 0, 3, 2, 1, 1, 2], [1, 2, 3, 2, 3, 0], [1, 2, 3, 0, 1], [3, 2, 3, 0, 3, 3, 2], [3, 0, 3, 0, 1, 1, 0], [3, 0, 3, 0, 3, 2, 1, 0, 1, 2], [1, 2, 3, 3, 2, 1, 0, 3, 3, 0], [3, 0, 1, 1, 2, 1, 1, 2], - [1, 0, 1, 2, 3, 3, 0, 1, 0], [2, 3, 3, 2, 1, 0, 1, 2], [3, 2, 1, 2, 1, 2, 3], [0, 3, 0, 1, 2, 1, 1, 0, 3, 2], [0, 3, 0, 1, 0, 3, 3, 0, 1, 2], [1, 2, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 2, 3, 2, 3], [1, 1, 0, 1, 0, 1, 1, 0, 3], - [0, 3, 0, 3, 3, 0, 3, 2], [1, 1, 0, 1, 2, 3, 3], [2, 1, 1, 2, 1], [1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 0, 3, 3, 2, 3, 0, 3], [1, 2, 3, 0, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 2], [2, 1, 0], - [2, 1, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 0, 1], [3, 0, 3, 0, 1, 1, 1], [3, 0, 1, 1, 0, 3, 3, 2, 3], [2, 1, 1], [0, 3, 3, 2, 3, 3, 0, 3], [0, 1, 2, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 0, 1, 0, 3, 2], - [2, 3, 0, 1, 1, 1, 0, 3], [1, 2, 3, 2], [0, 3, 3, 2, 1, 1, 0, 3, 3], [0, 3, 2, 3, 2, 1, 1, 0, 1], [1, 1, 0, 3, 2, 3, 3], [1, 1, 0, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 0, 3], - [3, 2, 1, 1, 0, 3, 0, 1, 1], [0, 1, 1, 2, 3, 0, 1, 1, 2], [3, 2, 1, 0, 1, 0, 3, 0, 1], [0, 1, 2, 3, 3, 0, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 1, 2, 1, 2], [2, 3, 3, 2, 1, 1, 0, 3], [2, 3, 0, 3, 0, 1, 1, 0, 1, 1], - [1, 0, 3, 3, 0, 1, 1, 2], [1, 0, 1, 2, 3, 2, 3], [3, 0, 1, 0, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1], [0, 3, 2, 1, 1, 1, 0, 1], [0, 1, 2, 3], [0, 3, 0, 1, 2, 1, 2], [1, 1, 1, 0, 3, 0, 1, 2, 1], - [3, 0, 3, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 2, 1], [1, 1, 2, 3, 3, 2, 3], [0, 1, 1, 2, 1, 1, 0], [0, 1, 2, 1, 1, 2, 1, 2, 3, 3], [1, 0, 3, 0, 3, 0, 3, 3], [2, 3, 0, 3, 0, 1, 1, 1, 2, 3], [1, 1, 1, 2, 3, 0, 1, 1, 2, 3], - [1, 1, 2, 3, 0, 3, 3, 2], [3, 2, 3, 0, 3, 2, 3, 2], [0, 1, 1, 0, 3, 3, 2], [3, 3, 0, 1, 0], [2, 1, 2, 1, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 2], [2, 1, 0, 1, 2, 1, 0, 1, 2], - [1, 0, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 1, 2, 1, 0, 3, 3], [0, 3, 0, 1, 1, 2, 3, 2, 3, 0], [0, 3, 0, 3, 0, 1, 1, 0], [1, 0, 3, 2], [0, 3, 3, 2, 3, 2, 1, 1, 2], [2, 1, 1, 0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 2, 1, 1, 0], - [1, 2, 1, 1, 0, 3, 0, 1], [0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [3, 3, 2, 1, 2, 1, 2, 3, 3], [1, 2, 3, 3, 0, 1, 0, 3], [0, 1, 2, 1, 1, 2, 1, 1, 2, 1], [1, 0, 3, 0, 3, 2, 1, 2, 1], [0, 3, 2, 1, 0, 1, 1, 2, 1], [0, 1, 1, 2, 3, 2, 3, 3, 0, 1], - [1, 1, 1, 0, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0], [0, 3, 0, 3, 2, 3, 2, 3], [1, 2, 3, 0, 3, 0, 3, 2, 1], [0, 3, 3, 0, 3, 0, 1, 1], [0, 3, 2, 3, 3, 2, 3, 2, 1, 1], [1, 2, 1, 2, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 2, 1], - [3, 3, 2, 3, 3], [0, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 1, 1, 2, 1, 0], [3, 0, 1, 1, 0, 1, 1, 1, 0], [2, 1, 1, 1, 0, 3, 0], [0, 3, 3, 2, 3, 3, 2, 3, 0], [2, 3, 2, 3, 0, 1, 1, 2, 1], [3, 2, 1], - [2, 3, 2, 1, 0, 1], [1, 1, 1, 2, 1, 1, 0, 1], [0, 3, 0, 1, 1, 1, 2], [1, 2, 1, 2, 3, 3, 2, 1, 0], [1, 1, 1, 0, 1, 1, 1], [0, 1, 2, 1, 2, 1, 0], [0, 3, 0, 3, 3, 0, 1, 2, 1, 1], [3, 2, 3, 2, 3, 0, 3, 0, 3], - [0, 1, 1, 0, 1, 0, 1], [1, 0, 3, 2, 1, 1, 1, 0], [1, 1, 1, 2], [2, 3, 2, 3], [1, 0, 1, 1, 0, 1], [3, 2, 3, 3, 0], [2, 3, 0, 3, 2, 3, 0, 3, 0], [0, 1, 0, 3, 0, 3, 0, 1, 2, 3], - [0, 1, 0, 3, 2, 3, 0, 1, 1], [3, 2, 3, 0, 1, 1, 0, 1, 1], [0, 1, 1, 2, 1, 2, 3, 2], [1, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 3, 2, 1, 1, 2], [0, 1, 0, 1, 2, 1, 0, 3, 0], [2, 1, 1, 2, 3, 3, 2, 3], [0, 1, 1, 2, 1, 0, 1, 0], - [1, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 3, 0, 1, 1, 0, 3, 0], [0, 1, 2, 3, 3, 0, 3, 2, 1, 0], [0, 1, 1, 1, 2, 3, 3, 2, 1, 2], [0, 1, 1, 1, 0, 1, 1, 2, 1, 0], [0, 1, 1, 2, 3, 2, 1, 1], [3, 2, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 3, 0, 3, 3, 0, 3], - [3, 3, 2, 1, 0], [1, 1, 2, 3, 2, 3, 2, 1, 1], [1, 0, 1, 0, 1, 2, 3, 2], [1, 1, 0, 1, 2, 1, 2, 3], [0, 1, 2, 1, 1, 0], [1, 0, 3, 0, 3, 2, 3, 2], [1, 2, 1, 2, 3, 0], [1, 2, 3, 0, 3, 0, 1, 1, 1, 2], - [0, 3, 0, 1, 1, 2, 1, 1, 0, 3], [3, 2, 1, 1, 1, 0, 3, 2], [0, 1, 2, 1, 0, 3, 2], [2, 3, 3, 0, 1, 2, 1, 2], [1, 1, 0, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 0, 3, 0], [1, 2, 1, 1, 1, 0, 1, 1], [3, 0, 3, 3, 2, 3, 0, 3, 2], - [0, 3, 3, 2, 1, 0, 3], [2, 1, 1, 2, 3, 2, 3, 2, 1], [0, 1, 2, 3, 3, 2, 3, 3], [0, 3, 2, 1], [2, 3, 0, 1, 2, 1, 2, 1, 2], [1, 1, 0, 3, 0, 3, 0, 3], [3, 0, 3, 2, 1, 0, 1, 2, 3], [1, 2, 3, 3, 0, 1, 0, 1, 1, 0], - [3, 0, 3, 3], [1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 1, 1, 0, 1, 2], [1, 0, 3, 2, 3, 2, 3, 3], [2, 1, 2, 3, 3, 0, 1, 1], [1, 2, 1, 1, 2, 1, 2, 1, 1], [2, 3, 3, 2, 3, 0, 3], [2, 1, 0, 1, 1, 1, 2, 3], - [0, 1, 1, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 1, 0, 3, 2], [1, 0, 1, 2, 3, 2, 1, 1, 0], [2, 3, 2, 1, 2, 3, 3, 2], [1, 1, 0, 1, 0, 3, 0, 3], [1, 0, 3, 0, 3, 0, 1, 0], [0, 3, 0, 1, 1, 0, 3, 0, 1], [0, 3, 0, 3, 2, 1, 0, 1, 2], - [1, 2, 1, 1, 2, 3, 2], [1, 1, 0, 1, 0, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 1, 2], [0, 3, 0, 1, 1, 2, 3, 0], [2, 1, 0, 3, 0, 3, 0, 1], [0, 1, 0, 1, 1, 2, 1, 2, 1], [0, 1, 1, 1, 2, 3, 0, 1, 1, 0], [3, 0, 3, 0, 1, 1, 0, 1], - [0, 1, 0, 1, 2, 3, 0, 3, 3, 0], [3, 0, 1, 1, 2, 1, 1, 2, 1], [1, 2, 1, 0, 1, 0, 1, 1, 0, 3], [0, 1, 0, 1, 1, 0, 3, 0, 3], [0, 1, 1, 1, 2, 3, 2, 3], [1, 1, 1, 0, 3, 2, 1, 1, 2], [0, 1, 1, 2, 1, 1, 1, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3], - [2, 3, 0, 1, 1, 1, 0], [1, 2, 3, 2, 1], [0, 1, 1, 1, 2, 1, 2, 3], [1, 0, 3, 3, 2, 3, 0], [3, 0, 3, 0, 3, 3], [3, 0, 1, 1, 0, 3, 3, 2], [1, 2, 3, 3, 2, 1, 0], [3, 3, 2, 3, 3, 2, 1, 2], - [2, 3, 0, 1, 0, 3], [2, 1, 2, 3, 2, 3, 0, 3], [1, 2, 1, 2, 1, 2, 3, 0, 3, 3], [1, 1, 0, 3, 0, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 3, 0], [1, 2, 3, 2, 3, 0, 1], [3, 2, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 1, 0, 3, 2, 1], - [1, 1, 0, 3, 2, 3], [1, 1, 0, 1, 2, 3, 3, 2, 1, 1], [1, 1, 2, 1, 2, 3, 3, 0], [1, 1, 2, 1, 1, 0, 1, 0, 3, 0], [0, 3, 0, 3, 3, 0, 3, 2, 1], [1, 1, 0, 1, 2, 3], [0, 3, 3, 2, 3, 3, 0], [2, 1, 1, 1], - [2, 1, 0, 1], [2, 3, 3, 2, 3, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 1, 2], [2, 3, 2, 1, 1, 0, 3, 2], [2, 1, 1, 2, 1, 1], [3, 0, 1, 2, 1, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 2, 1, 0], [3, 2, 1, 0, 3, 2, 3, 0], - [1, 2, 3, 3, 2, 3, 0, 3], [1, 2, 3, 0, 1, 1], [2, 3, 3, 2, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 2, 3], [1, 0, 1, 2, 1, 2, 1, 2, 3], [1, 1, 0, 1, 1, 1, 2, 3], [2, 1, 0, 3, 2, 3, 2, 1, 0], [0, 3, 3, 2, 1, 1, 0, 3], - [2, 1, 1, 0, 3, 2, 1, 0], [0, 1, 1, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 3, 2, 1, 1, 0], [1, 1, 2, 3, 2, 1, 1, 1, 2], [1, 0, 3, 0, 1, 2], [0, 1, 0, 1, 1, 2, 1, 0, 1, 1], [3, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 2, 1, 0, 1, 2], - [3, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 2, 3], [0, 1, 0, 3, 3, 2, 1, 2, 1, 1], [0, 3, 0, 1, 0, 3, 3, 0, 3], [1, 0, 1, 0, 3, 0, 3, 0, 1, 2], [3, 3, 0, 3, 3, 0], [1, 0, 3, 0, 1, 1, 1, 0], [1, 0, 3, 3, 2, 3, 3, 0, 3], - [0, 1, 2, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 3, 3, 0, 1], [0, 1, 0, 1, 2, 1, 2, 1, 1], [2, 1, 1, 0, 3, 3], [1, 1, 0, 3, 2, 3, 0, 1, 1, 0], [1, 0, 1, 0, 3, 3, 2, 1, 2], [3, 2, 3, 0, 1, 1], [0, 1, 0, 3, 2, 3], - [1, 0, 1, 0, 3, 0], [0, 1, 1, 0, 3, 0, 1, 1, 1], [0, 3, 2, 3, 2], [2, 1, 1, 1, 2, 3, 0, 3], [2, 1, 1, 2, 1, 0, 3, 3], [1, 2, 1, 1, 1, 0, 3, 2, 1], [0, 1, 1, 2, 3, 3, 0, 1], [1, 1, 1, 0, 1, 0, 1, 1], - [1, 2, 1, 1, 1, 2, 3, 0, 1], [3, 0, 1, 1, 2], [2, 1, 2, 3, 3], [1, 2, 1, 1, 2, 1, 0], [2, 3, 2, 1, 1, 2, 1], [1, 1, 1, 2, 1, 1, 1, 2, 1], [3, 2, 3, 0, 1, 2, 1, 0], [1, 0, 3, 0, 1, 1, 2, 1, 2] -] -private def clayworthWitnessData_chunk6 : Array (List (Fin 4)) := #[ - [0, 1, 2, 3, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 3, 0, 1, 0], [2, 3, 2, 1, 1, 1, 2], [1, 1, 1, 2, 3, 3, 2], [1, 1, 1, 0, 1, 0, 1, 2, 1, 0], [0, 1, 1, 2, 3, 0], [3, 2, 1, 2, 1, 1, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3, 3], - [0, 3, 3, 0, 3, 2, 1, 1], [0, 3, 2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3], [2, 1, 1, 1, 0, 1, 1, 0], [0, 1, 2, 3, 2, 1, 1, 0, 1], [0, 3, 2, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 1, 0, 3, 0, 1], [3, 0, 1, 2, 1], - [1, 1, 2, 3, 2, 3, 0], [3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 2, 3, 3, 2, 3, 0, 1], [1, 2, 1, 1, 1], [2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 1, 1, 1], - [0, 3, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 0, 1, 0, 1], [1, 0, 1, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 3, 0, 1], [0, 3, 3, 0, 1, 0, 1, 2, 3], [0, 1, 2, 1, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 0, 1], - [1, 0, 3, 3, 2, 1, 1], [3, 0, 3, 2], [2, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 3], [1, 2, 1, 0, 3, 3, 0, 1], [3, 0, 3, 0, 3, 2, 3], [3, 2, 1, 0, 3, 2, 1, 1], [3, 0, 3, 2, 1, 0, 1, 0], - [2, 3, 2, 1, 2, 1, 2, 3, 0], [2, 3, 0, 1, 2, 1, 1, 0, 3], [2, 3, 0], [1, 1, 1, 2, 1, 2], [0, 1, 0, 3, 0, 3, 0, 1, 0], [0, 1, 1, 1, 2, 1, 2, 1, 0], [1, 1, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3, 2, 3, 3], - [1, 1, 2, 1, 1, 0, 1, 0, 1, 1], [1, 1, 2, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 1, 1, 2, 1], [2, 1, 1, 0, 3, 2, 3, 3], [1, 0, 3, 2, 3, 3, 2, 1, 0, 1], [2, 3, 3, 0, 1, 1, 0, 3], [2, 3, 2, 3, 3, 2, 1, 0, 1, 1], - [1, 2, 1, 2, 1, 2, 3, 2], [2, 3, 3, 0, 3, 3, 2, 1, 0], [2, 3, 0, 1, 0, 1, 0], [2, 1, 0, 1, 1, 2, 3], [1, 0, 1, 1, 1, 0, 1, 1], [0, 3, 3, 2, 1], [1, 1, 2, 1, 1, 1, 0, 3, 0], [2, 1, 1, 2, 1, 2, 3, 3, 0], - [0, 3, 2, 1, 1, 2], [0, 1, 2, 3, 3, 2, 3, 2], [2, 1, 1, 1, 0, 1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 1, 1], [1, 1, 0, 1, 1, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 3], [3, 2, 3, 2, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 0, 3, 3], - [2, 3, 3, 2, 3], [2, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 3, 3], [0, 1, 1, 0, 1, 1, 1, 2, 1, 1], [2, 1, 1, 2, 3, 3, 0], [0, 1, 0, 3, 0, 3, 3], [0, 1, 1, 1, 2, 1, 0, 3], - [3, 2, 3, 3, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 2], [1, 0, 1, 2, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 3], [1, 1, 0, 3, 0, 3], [2, 3, 2, 3, 0, 3, 0, 3, 0, 3], [1, 2, 3, 2, 1, 1, 2, 3], [3, 3, 2, 1, 0, 1, 2], - [2, 3, 2, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 3, 0, 1], [0, 3, 0, 1, 0, 1, 1], [1, 0, 1, 1, 2, 3, 2, 1], [2, 1, 1, 2, 1, 1, 1, 2, 3], [3, 2, 3, 0, 1, 0, 3, 3, 2], [1, 2, 3, 0, 3, 3, 0], [1, 2, 3, 3, 2, 3, 0, 1, 0], - [1, 1, 2, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 0, 1, 1, 1], [0, 1, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 1, 1, 0, 3], [3, 0, 3, 3, 0, 1, 2], [3, 3, 2, 3, 3, 2, 3, 0], [1, 1, 1, 0, 3, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3, 0, 3], - [3, 3, 0, 1, 0, 1, 1], [0, 1, 2, 1, 0, 3, 0, 3], [3, 3, 2], [2, 3, 2, 3, 0, 1, 2], [2, 1, 2, 3, 0, 3, 3, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3, 0, 3], - [0, 1, 2, 1], [1, 0, 3, 0, 3, 2, 3, 0, 3], [1, 0, 1, 2, 1, 0, 1, 0, 3], [3, 0, 3, 3, 2, 3], [1, 0, 3, 2, 3, 0, 3, 2], [2, 3, 0, 3, 2, 3, 0, 3, 3], [0, 1, 1, 0, 3, 2, 1, 1, 1, 2], [1, 2, 1, 2, 1, 1, 2, 3, 0], - [0, 3, 2, 1, 2, 3], [1, 1, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3], [0, 3, 0, 1, 1, 1, 0, 3, 0], [0, 3, 0, 3, 0, 1, 0], [2, 1, 1, 0, 1, 1, 2, 3, 3], [0, 1, 1, 0, 1, 0, 1, 2, 3], [1, 0, 3, 2, 1, 1], - [1, 1, 0, 3, 3, 2, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 3], [2, 1, 2, 3, 3, 2, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 1, 1], [0, 3, 2, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 3, 0, 3, 2], [1, 0, 1, 2, 3, 3, 2, 3, 3, 2], [3, 0, 1, 0, 1, 1, 1, 0], - [0, 1, 2, 1, 1, 2, 1, 2], [1, 0, 3, 0, 3, 0], [0, 1, 1, 1, 0, 1, 1, 2], [1, 2, 1, 2, 1, 0, 3, 2], [2, 1, 2, 1, 2, 1, 0, 1, 0], [2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 2, 1, 0, 1, 0, 3], [0, 3, 0, 1, 2, 1, 0, 3, 0], - [1, 1, 2, 3, 3, 2, 1], [3, 2, 3, 3, 2, 1, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 1, 0, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 1], [1, 1, 2, 1, 0, 3, 0, 3, 3], [1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 0], - [1, 0, 1, 2, 3, 2, 1], [1, 2, 3, 0, 3, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 0, 1], [3, 3, 2, 1, 2, 1, 2], [1, 0, 1, 1, 0, 1, 2, 3], [3, 2, 1, 1, 1], [0, 1, 2, 3, 2, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0], - [3, 2, 1, 1, 1, 2, 1], [3, 0, 1, 1, 0, 1, 1, 1], [3, 0, 1, 1, 2, 3, 2, 3, 3], [0, 1, 1, 2, 1, 0, 3, 3, 2], [1, 0, 3, 2, 1, 1, 2, 1], [3, 2, 3, 0, 3, 2, 3, 0], [1, 0, 3, 2, 3, 0, 3, 0, 1], [0, 1, 2, 3, 0, 1, 1, 0, 1, 1], - [0, 1, 1, 0, 3, 3, 0], [3, 3, 0, 1], [2, 3, 2, 1, 1, 1, 0, 1, 1, 1], [3, 3, 2, 3, 0, 1, 2, 1, 1], [3, 0, 3, 2, 1, 1, 1, 2, 3], [0, 3, 2, 3, 3, 0, 3, 3], [1, 1, 1, 0, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0], - [1, 1, 0, 3, 2, 3, 0, 3], [1, 1, 1, 0, 1, 0, 3, 2, 3, 0], [1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 3, 2, 1], [1, 2, 1, 1, 2, 3, 3], [1, 1, 0, 1, 0, 1, 1, 2, 3], [0, 3, 3, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 3], - [1, 2, 1, 2, 1, 1, 2], [1, 0, 1, 2, 1, 0, 3, 0, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 3, 3], [1, 1, 1, 0, 1, 1, 1, 2], [0, 1, 2, 1, 2, 1], [0, 3, 0, 1, 1, 1, 0], [1, 2, 1, 2, 3, 3, 2, 1], - [0, 3, 2, 3, 0, 1, 1, 1], [0, 1, 2, 3, 2], [1, 0, 3, 0], [0, 1, 2, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 2, 3, 2, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 2, 3], [1, 2, 3, 3, 2, 1, 2, 3], [3, 3, 2, 3, 3, 2], - [0, 1, 1, 1, 0, 3, 0, 3, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2, 3], [3, 2, 1, 2], [1, 1, 1, 2, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 3, 0, 3, 0, 1, 1], [0, 3, 0, 1, 1, 2, 3, 2, 3], - [2, 1, 0, 1, 2, 1, 0, 1, 0], [3, 0, 3, 3, 2, 3, 2, 1], [2, 1, 2, 1, 2, 3, 0], [3, 0, 1, 2, 1, 2, 1, 1, 1], [1, 2, 3, 3, 2, 3, 0, 3, 0, 3], [1, 2, 3, 0, 1, 1, 0, 3], [1, 1, 2, 3, 2, 1, 1], [1, 2, 3, 0, 3, 0, 3, 3, 0, 1], - [1, 0, 3, 3, 0, 1, 1, 0], [1, 0, 1, 2, 3, 2, 3, 2], [0, 3, 2, 1, 0, 1, 0, 1], [1, 2, 3, 0, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 1], [1, 1, 2, 3, 3, 2, 3, 2], - [0, 3, 3, 0, 3, 0, 1, 2], [0, 1, 0, 3, 0, 3, 3, 0, 1], [3, 0], [2, 3, 2, 3, 0, 1, 1, 0], [0, 3, 2, 3, 0, 3, 2, 3], [1, 0, 1, 0, 3, 2, 3, 3], [2, 1, 2, 1, 1, 2, 1, 2], [1, 1, 0, 1, 2, 1, 2, 1], - [0, 1, 2, 3, 3, 2], [0, 3, 2, 1, 1, 1], [0, 1, 1, 2, 1, 2, 1, 0], [3, 3, 2, 1, 0, 1, 1], [0, 1, 1, 0, 3, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 2], [1, 0, 3, 2, 3, 2], [0, 1, 1, 1, 0, 1, 2, 1, 1], - [3, 3, 0, 3, 3, 2, 3, 3], [3, 3, 2, 1, 1, 1, 2], [2, 1, 1, 2, 3, 3, 2, 1], [0, 3, 2, 3, 2, 3, 0, 3], [1, 2, 1, 1, 1, 0, 3, 3], [3, 0, 1, 2, 1, 2, 3, 2, 3], [0, 3, 3, 2, 1, 0, 1], [3, 2, 1, 1, 0, 3, 2, 3, 0], - [1, 1, 1, 0, 1, 1, 2], [2, 3, 2, 3, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 1, 0], [1, 1, 0, 1, 0, 3, 0, 1], [1, 0, 3, 0, 1, 1, 2, 3], [1, 0, 3, 0, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 2, 1, 0], [1, 2, 3, 0, 3, 0, 3, 0], - [2, 3, 3, 2, 3, 0, 1], [2, 1, 0, 1, 1, 1, 2, 1], [0, 1, 2, 1, 0, 1, 0], [1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 3, 3, 2, 1, 1, 1, 0], [1, 1, 2, 1, 1, 1, 2, 3, 0], [0, 1, 0, 1, 2, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 3, 3], - [0, 3, 0, 3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 3, 3, 2, 3], [0, 1, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 1, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3], [0, 1, 0, 3, 0, 3, 0, 1, 2, 1], [2, 1, 2, 3, 3, 0, 3, 3], [1, 2, 1, 1, 2, 1, 2, 3, 3], - [3, 0, 3, 3, 0, 1, 1, 0], [3, 2, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 0], [1, 2, 1, 2, 1, 2], [2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 0, 3, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 1, 1, 2], [3, 2, 1, 2, 1, 1, 2, 3], - [1, 2, 1, 1, 0, 3], [0, 1, 2, 1, 1, 0, 1, 1], [1, 1, 1, 2, 1, 1], [2, 3, 2, 1], [1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1, 2], [1, 0, 3, 2, 3, 3, 0, 1, 0, 3], - [1, 2], [2, 3, 2, 3, 0, 3, 3, 2], [2, 1, 2, 1], [2, 3, 0, 1, 1, 0, 1, 1], [1, 0, 1, 2, 3, 3, 2, 1, 2], [0, 1, 2, 1, 2, 3, 2, 3, 0], [3, 2, 1, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3, 2, 1, 1], - [3, 2, 3, 2, 1, 1, 1, 2, 3], [3, 2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 3, 0, 3], [1, 1, 2, 1, 1, 1, 2, 1, 2], [1, 0, 1, 0, 3, 3, 0, 3, 3], [0, 1, 2, 1, 1, 1, 0, 3], [2, 3, 2, 3, 2, 1, 0, 3], [1, 1, 1, 0, 1, 0, 3], - [3, 0, 3, 3, 2, 1, 0, 3], [0, 1, 2, 3, 2, 1, 1, 0, 3, 3], [0, 3, 3, 0, 3, 2, 3], [0, 3, 2, 3, 3, 2, 3, 3], [3, 0, 1, 2, 1, 2, 1, 2, 3, 0], [0, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3], [0, 1, 0, 3, 2, 1, 1], - [3, 0, 1, 2, 3, 3], [1, 2, 1, 2, 1, 0, 1, 1, 2], [0, 1, 0, 3, 3, 2, 1, 2, 3], [2, 3, 0, 3, 2, 3, 2, 3], [1, 0, 1, 1, 1, 2, 1, 1, 0], [2, 1, 0, 3, 2, 1], [1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 0, 1, 1, 2, 3, 2], - [0, 1, 2, 3, 3, 0, 1, 1, 2], [1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 1, 0, 1, 2, 3, 3, 0, 1], [0, 3, 0, 3, 3, 0], [0, 1, 1, 2, 1, 2, 1, 1, 1, 2], [1, 1, 2, 1, 0, 3, 2, 3], [3, 0, 1, 0, 3, 3, 2, 1, 0], [1, 2, 1, 0, 1, 1, 1, 2, 3], - [0, 3, 2, 3, 2, 1, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1, 1], [2, 1, 0, 3, 3, 0, 1, 2], [3, 3, 2, 1, 1, 0, 3], [0, 1, 1, 0, 3, 0], [3, 3, 0, 1, 2, 1, 0], [3, 0, 1, 1, 2, 1, 1, 1], [0, 1, 2, 1, 0, 1, 2, 3, 0, 3], - [1, 2, 3, 0, 3, 0, 1, 2], [1, 2, 1, 2, 3, 2, 3, 3, 2], [0, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 0, 3, 2, 1], [0, 1, 0, 1, 2, 1, 2, 3], [2, 1, 1, 0, 1], [2, 3, 3, 2, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 0], - [1, 1, 1, 0, 3, 0, 1, 1, 1, 2], [2, 1, 1, 2, 1, 0, 1], [0, 3, 0, 1, 2, 1, 1, 0], [3, 2, 1, 1, 0, 3, 2, 1, 2], [1, 2, 3, 2, 3, 2, 1], [3, 3, 2, 3, 3, 0, 1, 0], [1, 1, 1, 2, 3, 0, 1, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 1], - [3, 2, 1, 2, 1, 0, 1, 2, 1], [1, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3], [1, 2, 1, 2, 1, 1, 0, 3], [0, 1, 1, 2, 1, 1, 1, 0, 1, 0], [1, 2, 3, 0, 1, 1, 2, 1, 0], [0, 1, 1, 1, 0, 3, 0, 3, 3], - [1, 2, 3, 3, 2, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 1, 0], [1, 0, 1, 1, 1, 2, 3, 2], [0, 1, 2, 3, 0, 3, 3, 2], [1, 1, 0, 1, 0, 1, 1, 1, 0], [1, 2, 1, 0, 1, 0, 3, 2, 1], [0, 3, 0, 1, 1, 0, 1], [0, 3, 2, 3, 0, 1, 2, 1, 1, 2], - [3, 2, 1, 1, 0, 1, 0, 1, 1, 1], [3, 2, 1, 2, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 2], [2, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0, 1], [3, 3, 2, 3, 3, 0, 3], [0, 1, 0, 1, 1, 1, 0, 3, 0, 3], - [0, 3, 2, 1, 2, 1, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 3], [1, 0, 3, 3, 0, 1, 0, 1], [1, 2, 1, 0, 1, 0, 3, 0], [2, 3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 1, 2, 3], [1, 2, 3, 2, 1, 2, 1, 0], [2, 3, 0, 3, 3, 0], - [1, 2, 3, 3, 2, 1, 1, 0], [3, 0, 1, 1, 1, 2, 1, 1], [2, 3, 2, 1, 0, 1, 0, 3], [0, 1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 3, 3, 2], [1, 1, 1, 0, 1, 1, 1, 0, 3], [3, 2, 1, 0, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1, 2], - [1, 0, 3, 3], [0, 3, 3, 2, 3, 2, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2, 1], [0, 3, 0, 1, 1], [1, 1, 1, 2, 3, 2, 1, 2], [1, 1, 2, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 2], [0, 1, 2, 3, 0, 3] -] -private def clayworthWitnessData_chunk7 : Array (List (Fin 4)) := #[ - [1, 0, 3, 3, 0, 1], [3, 0, 3, 2, 3, 3, 2, 1], [2, 1, 1, 2, 3, 2, 3, 0, 1, 2], [0, 1, 0, 1, 2, 3, 0, 3, 0], [0, 1, 0, 3, 0, 1, 1, 0], [3, 0, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 2, 3], [1, 1, 2, 1, 2, 3, 0], - [3, 0, 3, 0, 3, 3, 2, 1, 0], [1, 1, 2, 3, 2, 1, 1, 2, 3], [2, 1, 2, 1, 2, 3, 3], [2, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3], [3, 3, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 1], [0, 3, 0, 1, 2], [1, 0, 1, 1, 2, 3, 2, 3, 0], - [1, 2, 1, 2, 3, 2, 3, 2, 1, 1], [0, 1, 2, 1, 0, 1, 1, 0, 3], [0, 1, 1, 0, 3, 2, 3, 0, 3], [2, 1, 1, 2, 3, 2, 3], [1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 3, 2, 1, 0, 1], [1, 2, 1, 0, 1, 2, 1], [0, 3, 2, 3, 3, 2, 1, 0, 1, 0], - [0, 1, 0, 1, 0, 3, 0, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 1, 0, 3], [2, 3, 0, 3, 3, 2, 3, 2], [2, 1, 1, 0, 1, 2, 1, 1, 2], [1, 0, 1, 0, 1, 2, 3, 2, 3, 0], [0, 1, 2, 1, 1, 2, 3, 2, 1, 1], [1, 1, 2, 1, 2, 3, 2, 3, 2], [1, 1, 2, 1, 1], - [1, 1, 0, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 2], [1, 1, 2, 3, 2, 3, 2, 1, 0], [3, 0, 3, 0, 1, 2, 3], [1, 0, 3, 0, 1, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1, 0, 3, 3], [3, 0, 1, 1, 1, 0], [3, 2, 1, 1, 0, 3, 3], - [1, 2, 3, 2, 3, 3, 2, 3], [1, 2, 1, 0, 3, 0, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1, 1, 2], [3, 2, 3, 0, 1, 2, 1, 2, 1, 0], [0, 3, 0, 3, 3, 2, 3, 0, 3], [3, 0, 1, 2, 1, 0, 1, 0], [3, 3, 0, 3, 3, 2, 1, 0], [0, 1, 0, 1, 0, 3, 2, 3, 2, 3, 3], - [0, 1, 0, 1, 2, 3, 2, 1], [0, 3, 3, 2, 1, 1, 2, 3, 0, 1, 1], [0, 3, 2, 1, 2, 1, 2, 1, 2, 1], [1, 1, 0, 3, 0, 3, 2, 1, 2, 3], [3, 2, 1, 0, 1, 2, 3, 0, 3], [0, 1, 2, 1, 0, 3, 2, 3, 0], [2, 1, 2, 3, 3, 0, 1, 0], [0, 3, 3, 2, 1, 2, 1, 2, 3], - [1, 1, 1, 2, 3, 0], [2, 3, 0, 3, 0, 1], [3, 3, 2, 3, 0, 3, 3], [1, 2, 3, 0, 3, 2, 3], [2, 1, 2, 1, 0, 3, 0, 3], [2, 3, 3, 0, 1, 0, 1, 1], [1, 2, 1, 2, 1, 0, 1, 0, 3], [0, 1, 0, 3, 2, 3, 0, 1, 0], - [3, 2, 1, 0, 1, 1, 1, 2], [0, 3, 0, 3, 0, 3, 2, 1, 0], [2, 1, 0, 3, 3, 2, 3], [1, 0, 1, 1, 2], [1, 2, 1, 1, 1, 0, 1, 0], [0, 1, 1, 0, 3, 2, 1, 2, 1, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1], [0, 3], - [2, 3, 2, 1, 2, 1, 0, 3], [3, 2, 3, 0, 3, 0, 3, 0, 3], [0, 1, 1, 1, 2, 1, 1, 0, 1, 1], [1, 2, 1, 2, 3, 0, 3, 0], [1, 2, 1, 1, 0, 1, 1, 0], [0, 1, 2, 1, 1, 0, 3, 0], [2, 1, 0, 3, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1], - [0, 1, 0, 1, 0, 3], [0, 3, 3, 0, 1, 2, 1], [0, 3, 3, 0, 3, 3, 2], [0, 3, 2, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 0, 3, 2], [3, 2, 3, 2, 1, 1, 2, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 2, 3, 3], [1, 2, 1, 0, 1, 1, 2], - [3, 2, 1, 1, 2, 1, 0], [2, 1, 1, 0, 3, 0, 3, 0, 1], [0, 1, 0, 1, 0, 1], [0, 3, 3, 0, 1, 2, 1, 1, 1], [2, 1, 2, 1, 1, 0, 3, 2], [1, 0, 1, 1, 2, 3, 0, 1, 2], [0, 1, 0, 1, 0], [0, 3, 3, 0, 1, 2, 1, 1], - [2, 1, 2, 3, 0, 3, 0, 1, 1], [1, 2, 1, 0, 3, 2, 3], [0, 1, 0, 1, 0, 1, 1], [0, 3, 3, 0, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1, 2], [1, 0, 3, 2, 1, 2, 1, 0, 3, 3], [1, 0, 3, 3, 2, 1, 2, 1, 2], [1, 2, 3, 3, 0, 3, 0], - [2, 1, 2, 3, 0, 3, 0, 1], [1, 2, 1, 0, 3, 2, 3, 3], [1, 1, 2, 1, 0, 1, 2, 1], [3, 2, 3, 2, 1, 1, 2], [1, 1, 0, 1, 0, 1, 2, 3, 0, 3], [1, 0, 3, 2, 1, 2, 1, 0, 3], [0, 3, 3, 0, 1, 2, 3], [0, 1, 0, 1, 0, 1, 1, 1], - [3, 2, 3, 2, 1, 1, 2, 3], [1, 1, 2, 1, 0, 1, 2], [1, 0, 3, 2, 1, 2, 1, 0], [1, 1, 0, 1, 0, 1, 2, 3, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 2], [1, 2, 1, 0, 1, 1, 2, 3], [1, 0, 3, 2, 3, 3, 2, 3, 2], [1, 0, 1, 1, 2, 3, 0, 1, 2, 1], - [0, 1, 0, 3, 3, 0], [3, 3, 2, 3, 2, 1, 0], [1, 1, 1, 0, 1, 2, 3, 2, 3], [0, 1, 0, 3, 3, 0, 3, 3], [0, 3, 3, 0, 3, 3, 2, 1], [0, 3, 2, 1, 2, 1, 2, 3, 2], [2, 3, 0, 1, 1, 2, 3, 0], [2, 1, 2, 3, 0, 3, 0], - [0, 1, 0, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 3, 2], [1, 2, 3, 3, 0, 1, 1, 0], [0, 1, 0, 3, 3, 0, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 3, 2, 1], [3, 0, 3, 2, 1, 1, 2, 3, 0], [0, 3, 3, 0, 1, 2], [0, 1, 0, 1, 0, 3, 3], - [1, 2, 1, 0, 1, 1, 2, 1], [1, 0, 3, 3, 2, 1, 2, 1, 2, 3], [2, 1, 1, 0, 3, 0, 3, 0], [1, 1, 2, 1, 0, 3, 3, 2], [1, 2, 3, 3, 0, 1, 1, 0, 3], [0, 1, 0, 3, 3, 0, 1, 1], [0, 1, 0, 3, 3, 0, 1], [3, 2, 1, 1, 2, 3, 3, 0], - [1, 1, 0, 1, 0, 1, 2], [1, 0, 3, 2, 1, 2, 1, 1], [2, 1, 0, 3, 2, 3, 0], [2, 1, 0, 1, 1, 2, 1, 2], [0, 1, 0, 3, 3, 0, 1, 2, 3, 3], [3, 2, 1, 1, 2, 1, 1], [0, 3, 0, 3, 2, 3, 0, 3], [3, 2, 3, 2, 1, 1, 0, 1], - [1, 1, 2, 3, 2, 3, 0, 1, 0], [1, 0, 1, 2, 3, 0, 3], [1, 1, 0, 3, 0, 1, 2], [0, 3, 3, 0, 1, 0, 3, 3], [1, 2, 1, 0, 3, 0, 3, 3], [0, 3, 3, 0, 1, 0, 1], [0, 1, 0, 1, 0, 3, 2, 3, 3], [0, 1, 0, 1, 2, 1, 1, 1, 0, 1], - [1, 1, 2, 3, 3, 0, 1, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1], [2, 3, 3, 2, 1, 2], [1, 1, 1, 0, 1, 2, 3, 0, 1], [3, 0, 3, 3, 2, 3, 3, 2, 3], [1, 2, 1, 0, 1, 1, 0, 1], [1, 0, 3, 3, 2, 1, 2, 1, 0, 1], [1, 2, 3, 3, 0], - [3, 3, 2, 3, 2, 1, 1], [0, 1, 0, 3], [2, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 2, 1, 2, 3, 0, 3, 0, 3], [0, 1, 0, 1, 1], [3, 3, 2, 3, 2, 3], [0, 3, 0, 1, 2, 1, 2, 1, 2, 3], [3, 2, 1, 2, 1, 0, 3, 2], - [3, 0, 3, 0, 3, 2, 1, 2], [3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 1, 2, 1, 2], [3, 0, 1, 2, 1, 1, 0], [1, 1, 0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 1, 2, 1, 0, 3, 0], [1, 1, 1, 0, 3, 3, 2, 3], [1, 0, 1, 0, 1, 0, 3, 2, 3], - [0, 3, 3, 0, 3, 3, 0, 3, 3], [2, 1, 0, 1, 2, 3, 2], [0, 3, 2, 3, 2, 1, 0], [2, 1, 1, 1, 2, 3, 2], [0, 1, 0, 1, 0, 3, 2, 1], [0, 1, 1, 2, 1, 0, 3, 2, 3], [1, 2, 3, 0, 1, 1, 2, 3, 2], [1, 2, 3, 3, 0, 1, 1, 1], - [1, 2, 1, 0, 3, 2, 3, 2, 1], [3, 0, 1, 1, 2, 1, 0], [3, 0, 3, 2, 1, 1, 2], [1, 0, 3, 3, 2, 3, 3, 2], [2, 3, 0, 1, 1, 2], [2, 1, 2, 3, 0], [2, 1, 0, 1, 2, 3, 2, 1, 1, 1], [0, 3, 3, 0, 3, 3, 0, 1], - [1, 1, 2, 1, 0, 3, 3, 0, 1], [2, 1, 1, 0, 3, 0], [1, 0, 1, 2, 3, 0, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1, 2], [0, 1, 2, 3, 2, 3, 0, 3, 2, 3], [0, 3, 0, 1, 0, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 2, 1], [3, 2, 1, 1, 2, 3], - [2, 1, 0, 3, 3, 2, 1, 1, 2], [0, 3, 0, 3, 0], [2, 1, 1, 1, 0, 1, 1, 1], [2, 1, 2, 1, 2, 1, 0], [3, 2, 3, 0, 1, 1, 2, 1], [0, 1, 0, 3, 2, 3, 2, 1], [0, 3, 2, 3, 3, 0, 1, 1], [0, 1, 2, 3, 3, 2, 1, 0, 1, 1], - [3, 2, 1, 0, 1, 1, 0], [1, 2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 3, 2, 1, 1, 2], [3, 0, 1, 2, 1, 2, 1], [0, 3, 3, 0, 3, 2, 1, 1, 2, 1], [1, 0, 3, 2, 1, 1, 2, 3], [0, 1, 2, 3, 0, 1, 1, 0], [1, 0, 3, 2, 3, 0, 3, 0, 3], - [1, 2, 1, 2, 3, 3, 2, 3], [0, 3, 0, 1, 1, 1, 0, 3, 3], [3, 0, 1, 0, 1, 1], [1, 2, 1, 1, 0, 1, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 2], [1, 0, 1, 0, 3, 3, 2, 1, 0, 1], [1, 1, 2, 3, 2], [3, 2, 3, 0, 3, 2, 1, 0], - [0, 1, 1, 1, 2, 1, 1, 0, 3, 2], [0, 1, 1, 0, 1, 0, 3, 0, 1], [0, 1, 2, 1, 2, 3], [1, 1, 1, 0, 1, 1, 1, 2, 3, 3], [3, 3, 2, 3, 0, 1, 2], [2, 3, 2, 1, 1, 1, 0, 1], [3, 0, 1, 0, 3, 3, 2, 1, 1, 0], [1, 2, 3, 0, 1, 1, 0, 1, 1, 1], - [1, 0, 3, 3, 0, 3, 3, 0], [3, 3, 2, 3, 3, 2, 3, 3], [1, 0, 1, 0], [1, 1, 1, 0, 3, 2, 3], [3, 2, 1, 1, 0, 1, 2], [2, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 1, 0, 3, 0, 1], [1, 1, 1, 0, 3, 3, 0, 1, 2], - [0, 3, 2, 3, 0, 1], [0, 1, 2, 3, 2, 3, 3], [0, 3, 2, 1, 0, 1, 0, 3], [1, 2, 3, 3, 0, 1, 2, 1, 2], [3, 3, 0, 1, 2, 1, 1, 0], [0, 1, 1, 2], [3, 2, 1, 2, 3, 3], [1, 2, 1, 0, 1, 2, 3, 3, 2], - [3, 0, 1, 1, 0, 1], [3, 2, 1, 1, 1, 2, 3], [0, 3, 0, 1, 1, 0, 3, 3, 0], [2, 3, 0, 3, 0, 3, 3, 2], [2, 3, 2, 3, 0, 1, 0, 3], [3, 3, 0, 3], [1, 2, 1, 1, 2, 1, 1], [2, 1, 2, 3, 3, 2, 1], - [0, 3, 0, 1, 2, 1, 1, 1, 0], [1, 0, 3, 2, 1, 0, 1, 2], [1, 0, 3, 3, 2, 1, 0, 3, 3, 2], [3, 0, 3, 2, 3, 0, 3, 3, 2], [1, 1, 2, 3, 3, 2, 1, 2, 3], [3, 2, 3, 3, 2, 1, 0, 3], [1, 0, 3, 0, 3, 3], [0, 1, 2, 1, 1, 2, 1, 0, 3], - [0, 3, 2, 3, 2, 3, 3, 0, 3], [3, 3, 2, 1, 1, 2, 1, 1], [1, 1, 0, 1, 0, 3, 3, 2, 1], [1, 0, 3, 2, 1, 2, 1, 0, 3, 0], [1, 0, 3, 2, 3, 3, 2, 3], [0, 3, 0, 3, 3, 0, 1, 0, 1, 1], [3, 0, 1, 1, 1, 0, 3, 0, 3, 3], [1, 2, 1, 0, 1, 1], - [3, 0, 1, 1, 1, 0, 3, 0, 1], [1, 2, 1, 0, 3], [0, 3, 2, 1, 2, 1, 2, 1, 1], [1, 0, 3, 2, 1, 2, 1, 2], [1, 1, 2, 1, 0, 1], [3, 2, 3, 2, 1, 1, 2, 3, 0], [0, 1, 0, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 3, 0, 1, 1, 2], - [0, 1, 0, 1, 2, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1], [0, 3, 3, 0, 3, 3], [0, 3, 2, 1, 1, 2, 3, 2, 1], [0, 3, 3, 0, 3, 3, 2, 1, 0], [0, 3, 2, 1, 2, 1, 2, 3], [0, 1, 0, 1, 0, 3, 0], [0, 3, 3, 0, 1, 2, 1, 0], - [1, 2, 3, 3, 0, 3, 2], [1, 0, 3, 3, 2, 1, 2, 1], [0, 1, 0, 3, 3, 0, 3, 3, 0], [1, 0, 3, 2, 3, 3, 2, 1, 1], [0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 2, 3, 3, 0, 1, 2], [0, 3, 0, 1, 1, 2, 1, 2, 3, 3], [3, 0, 1, 2, 3, 0, 1, 1], - [3, 2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 2, 3, 2], [3, 3, 2, 1, 1, 2, 3], [1, 1, 0, 3, 0, 3, 3, 2, 1], [3, 0, 3, 3, 2, 1, 2, 3], [0, 3, 0, 1, 1, 2, 1, 2, 1], [3, 0, 1, 2, 3, 0, 3], - [1, 1, 2, 1, 0, 1, 2, 1, 0], [3, 2, 3, 2, 1, 1], [2, 3, 0, 3, 2, 3, 3], [0, 1, 0, 3, 3, 2], [0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 3, 3, 0, 1, 2, 3, 0], [0, 1, 0, 1, 2], [2, 1, 1, 0, 1, 1, 0, 3], - [0, 1, 0, 3, 3, 0, 3, 0], [1, 1, 1, 0, 1, 2, 3], [2, 1, 2, 3, 0, 3, 2], [1, 1, 1, 0, 1, 2, 1, 1], [0, 1, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 1], [1, 1, 2, 1, 0, 3, 3], [2, 1, 1, 0, 3, 0, 3, 2], - [3, 0, 1, 1, 2, 1, 0, 3, 2], [1, 2, 1, 0, 3, 2, 3, 0], [1, 0, 3, 3, 2, 3, 3, 2, 3, 2], [3, 0, 3, 2, 1, 1, 2, 3, 2], [0, 1, 0, 3, 2, 1, 1, 1, 0, 3], [3, 2, 3, 2, 3], [2, 1, 2, 1, 1, 0, 3], [1, 0, 1, 1, 2, 3, 0, 1], - [1, 0, 1, 0, 3, 2], [0, 3, 2, 3, 0, 3, 2, 1], [2, 1, 0, 3, 2, 3, 3, 0], [2, 1, 1, 1, 0, 1, 1, 2], [2, 1, 1, 1, 0, 1, 0, 1, 0], [0, 1, 2, 1, 2, 3, 3, 2], [3, 0, 1, 1, 2, 3, 2, 1, 2], [1, 2, 1, 1, 1, 0], - [0, 3, 2, 3, 3, 0, 1, 2], [0, 1, 2, 3, 3, 2, 1, 0, 1, 2], [1, 0, 1, 0, 3, 3, 2, 1], [0, 1, 2, 1, 1, 1, 0, 1, 0, 1], [1, 2, 1, 1, 2, 1, 2], [2, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 1], [1, 1, 1, 2, 3, 3], - [1, 0, 3, 2, 3, 2, 1, 1], [0, 1, 1, 1, 0, 1, 2, 3, 3], [3, 3, 0, 3, 3, 2], [1, 0, 1, 0, 3, 0, 3, 0, 1], [3, 0, 1, 2, 1, 0], [1, 0, 1, 0, 1, 2, 1, 0, 1, 1], [3, 3, 2, 1, 0, 3, 3], [1, 1, 2, 3, 2, 3, 2], - [0, 1, 1, 0, 1, 0, 3], [1, 0, 3, 2, 1, 1, 1, 0, 3, 3], [0, 1, 0, 3, 2, 3, 0], [3, 2, 3, 0, 1, 1, 0], [1, 1, 2, 3, 2, 3, 3, 0, 1, 0], [3, 2, 1, 2, 1, 1, 2, 1], [1, 0, 1, 1, 0, 3], [3, 2, 3, 3, 0, 3, 3], - [1, 0, 3, 0, 1, 1, 2, 1], [3, 2, 3, 0, 1, 2, 1, 2], [3, 2, 1, 0, 1, 1, 1, 0, 3], [0, 3, 0, 3, 0, 3, 2], [2, 1, 1, 0, 3, 3, 0], [0, 1, 0, 3, 2, 3, 3, 0, 1], [1, 1, 0, 3, 0, 3, 0, 1, 1, 1], [0, 1, 2, 1, 2, 1, 1, 1, 2, 1], - [3, 0, 1, 1, 2, 3, 0, 1], [1, 2, 1, 1, 1, 2, 3, 2, 1], [2, 1, 0, 1, 2, 3, 0, 3, 0], [0, 1, 1, 2, 3, 2, 3, 0, 1, 2], [0, 1, 1, 2, 3, 2], [0, 3, 2, 1, 0, 1, 1, 0, 1, 1], [2, 3, 2, 1, 1, 0, 1, 2], [0, 1, 1, 2, 3, 3, 0, 1, 0], - [0, 3, 2, 3, 2, 3, 0, 1], [1, 0, 1, 0, 3, 3, 0, 1, 0], [3, 0, 1, 1], [3, 2, 1, 1, 0, 3, 3, 2, 3], [1, 2, 1, 1, 0, 1], [3, 0, 1, 0, 1, 2], [0, 3, 0, 1, 1, 0, 3, 0, 3], [0, 3, 2, 3, 3, 2, 1, 0], - [1, 2, 3, 0, 3, 2, 3, 2, 3], [0, 3, 2, 3, 0, 3, 0, 1, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [1, 2, 1, 2, 1, 2, 1, 1], [0, 3, 2, 3], [0, 1, 2, 3, 3, 2, 1, 1], [0, 3, 3, 2, 3, 3, 2, 1, 2, 1], [1, 0, 3, 0, 1, 1, 1, 2] -] -private def clayworthWitnessData_chunk8 : Array (List (Fin 4)) := #[ - [0, 3, 3, 2, 1, 0, 3, 2, 1], [1, 0, 1, 1, 0, 3, 2, 3, 3, 2], [0, 3, 3, 0, 1, 1, 0], [1, 1, 2, 3, 3, 2, 1, 1, 1], [2, 3, 2, 3, 0, 1, 2, 1, 1], [3, 3, 2, 1, 1], [1, 0, 3, 0, 3, 0, 1, 1], [0, 1, 2, 1, 1, 2, 1, 2, 1, 1], - [3, 0, 3, 2, 3, 2, 3, 0], [1, 0, 3, 0, 3, 2, 1, 2, 3], [3, 3, 0, 1, 0, 3, 3], [0, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 2, 3, 2, 3, 3, 0, 3], [0, 3, 2, 1, 0, 1, 1, 2, 3], [0, 3, 2, 3, 3, 2, 3, 2], [0, 3, 3, 0, 3, 0], - [2, 3, 2, 3, 2, 1], [1, 1, 1, 0, 1], [0, 1, 0, 1, 2, 3, 3, 0], [0, 1, 1, 1, 0, 1, 0, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0], [0, 3, 0, 3, 3, 0, 1, 2], [0, 1, 1, 1, 0, 1, 1, 1, 2, 3], [1, 2, 1, 2], - [3, 2, 3], [1, 0, 1, 1, 0, 1, 2, 1], [1, 2, 1, 0, 1, 1, 1, 0], [0, 3, 0, 1, 1, 1, 2, 3, 3], [0, 1, 0, 1, 1, 2, 1, 1, 1, 2], [3, 0, 1, 0, 1, 0, 3, 3, 2], [3, 0, 3, 3, 0, 1, 2, 1, 1], [3, 2, 3, 2, 1, 1, 1, 0], - [1, 2, 3, 3, 0, 1, 0, 1, 1, 1], [3, 3, 2, 1, 2, 1, 2, 1, 1], [1, 1, 1, 2, 1, 1, 0, 3], [2, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 2, 1, 1, 0, 1], [0, 1, 1, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 1], [3, 0, 1, 0, 3, 3, 0, 3, 3], - [0, 1, 1, 0, 1, 0, 1, 2, 1], [1, 0, 3, 2, 3, 3], [0, 3, 2, 3, 2, 3, 3, 2], [1, 2, 1, 1, 0, 3, 0, 3], [0, 1, 1, 2, 3, 0, 3, 3, 2], [1, 1, 1, 0, 3, 0, 3, 0, 1], [1, 1, 2, 1, 0, 3, 0], [0, 3, 0, 1, 2, 1, 2, 3, 3], - [0, 1, 2, 1, 0, 1, 2, 3], [3, 0, 1, 1, 2, 3, 3, 2], [1, 2, 3, 0, 3, 0, 3, 2, 3], [0, 1, 2, 3, 3, 0, 3, 2, 1, 1], [0, 3, 0, 1, 0, 1, 2, 3, 0], [2, 1, 2, 1, 1, 2], [1, 1, 1, 0, 3, 2, 1, 0, 3, 3], [1, 0, 1, 0, 1, 1, 0, 3, 3], - [0, 1, 0, 1, 2, 1, 0], [2, 1, 1, 0, 1, 1, 2], [3, 0, 3, 3, 2, 1], [0, 1, 1, 2, 1, 2, 1, 2, 3], [0, 1, 0, 3, 3, 2, 1, 0], [2, 3, 0, 3, 2, 3, 0], [0, 1, 2, 1, 1, 1], [0, 3, 2, 1, 1, 1, 0, 3], - [0, 1, 2], [0, 3, 2, 1, 1, 1, 0, 1, 1], [3, 3, 0, 1, 0, 1], [0, 1, 1, 0, 3, 3, 2, 1], [1, 0, 1, 2, 3, 2], [1, 0, 3, 3, 0, 1, 1, 2, 1], [1, 1, 1, 0, 3, 0, 1, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 1], - [0, 1, 1, 2, 1, 0, 3], [0, 1, 0, 1, 0, 3, 2, 1, 1, 0], [0, 1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 3, 3, 2], [2, 1, 2, 1, 2, 1, 2, 3, 2], [1, 2, 1, 2, 1, 1, 1], [3, 2, 3, 2, 3, 0, 3, 0], [3, 0, 1, 0, 1, 1, 0, 3, 2], - [0, 3, 3, 0, 1, 0, 1, 1, 0], [2, 3, 2, 1, 0, 1, 1], [0, 3, 2, 1, 2, 3, 3], [3, 0, 1, 0, 3, 3, 0, 1], [1, 1, 0, 3, 3, 2, 1, 0, 3, 3], [0, 1, 2, 1, 2, 3, 0, 3, 2], [2, 1, 1, 0, 3, 0, 3, 3, 0], [2, 3, 2, 1, 2, 1, 0, 1, 2], - [0, 1, 1, 1, 0, 3, 3, 0, 1, 2], [3, 0, 3, 3, 2, 3, 3], [1, 0, 1, 0, 1, 1, 0, 1], [2, 1, 2, 3, 0, 3, 3, 0], [2, 3, 0, 1, 1, 2, 1, 0], [1, 0, 3, 2, 1], [0, 3, 0, 3, 0, 1, 0, 3], [1, 1, 0, 3, 0, 1, 2, 1, 0], - [1, 0, 3, 2, 3, 0, 3, 2, 3], [2, 3, 3, 2, 1, 2, 1, 0], [1, 0, 1, 0, 1, 0, 3], [1, 1, 1, 0, 3, 3], [0, 1, 1, 1, 0, 1, 1, 2, 3], [1, 2, 1, 0, 1, 1, 0, 3, 0], [0, 3, 2, 3, 0, 1, 1, 0, 3], [0, 1, 2, 3, 2, 3, 0, 3], - [0, 3, 0, 3, 0, 1, 1, 0, 1], [3, 2, 1, 1, 2, 1, 1, 1, 0], [2, 1, 0, 3, 3, 2, 1, 2], [0, 3, 0, 3, 2, 3, 2], [0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 2, 1, 0, 1, 2, 3], [1, 0, 3, 0, 3, 0, 3], [0, 1, 2, 1, 1, 2, 1, 2, 3], - [0, 1, 0, 1, 1, 1, 0], [3, 3, 2, 3], [2, 1, 0, 1, 1, 2, 1, 2, 1, 0], [1, 2, 1, 1, 0, 3, 0, 1, 1], [0, 3, 3, 2, 3, 3, 2, 3, 0, 1], [2, 1, 1, 1, 0, 3, 0, 1], [0, 3, 0, 1, 1, 1, 2, 1], [0, 1, 0, 1, 0, 3, 2, 3, 0], - [1, 2, 3, 3, 0, 3, 3, 0], [1, 1, 2, 3, 0, 3, 3, 2, 1], [1, 0, 1, 1, 0, 1, 2, 3, 3], [3, 2, 1, 1], [1, 2, 3, 3, 0, 1, 0], [3, 3, 2, 1, 2, 1, 2, 3], [1, 1, 1, 2, 3, 0, 1, 1, 2], [2, 3, 0, 3, 0, 1, 1, 1, 2], - [0, 1, 1, 1, 2, 3, 3, 2, 1], [0, 1, 2, 3, 3, 0, 3, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 0], [0, 1, 1, 2, 1, 2, 3], [2, 3, 2, 1, 2, 3, 3], [3, 2, 3, 0, 3, 0, 1, 1], [1, 2, 3, 2, 1, 1, 0, 1, 2, 1], [3, 3, 2, 1, 2, 1, 2, 1, 2], - [0, 1, 1, 0, 3, 2, 1, 1], [0, 1, 0, 1, 2, 1, 0, 3, 2], [1, 1, 2, 3, 3, 2, 1, 1, 2], [0, 3, 3, 0, 1, 1, 0, 3, 2], [0, 1, 1, 2, 3, 2, 1, 1, 0], [0, 1, 1, 1, 0, 1, 1, 2, 1, 2], [3, 0, 3, 3, 0, 1, 2, 1, 2], [0, 3, 0, 1, 2, 1, 1, 2, 1, 1], - [2, 3, 3, 0, 1, 2, 1], [0, 1, 2, 1, 0, 3], [3, 0, 3, 0, 3, 0, 1, 2, 1], [0, 3, 0, 3, 0, 1, 2, 3], [0, 1, 1, 1, 2, 1, 1, 2, 1], [1, 0, 3, 2, 1, 1, 0, 3], [0, 3, 3, 0, 3, 0, 3, 2], [1, 1, 0, 3, 3, 2, 1], - [3, 0, 3, 3, 0], [1, 0, 1, 2, 1, 0, 1], [2, 1, 2, 1, 1, 2, 3, 2], [1, 2, 1, 2, 3, 3, 0, 3], [3, 0, 3, 3, 2, 3, 0, 3], [2, 3, 0, 3, 0, 3, 0, 1], [0, 3, 0, 3, 3, 2, 1, 1], [0, 1, 1, 2, 1, 0, 1, 2], - [2, 3, 0, 3, 2, 3, 0, 3, 2], [0, 1, 2, 3, 0, 1, 2, 1, 1], [1, 1, 1], [2, 3, 2, 3, 0], [1, 2, 1, 2, 3, 2], [1, 2, 3, 0, 3, 0, 1, 1, 1], [0, 3, 0, 3, 2, 1, 0, 1], [0, 3, 0, 1, 0, 1, 0, 3, 0, 1], - [0, 1, 1, 1, 0, 1], [1, 2, 1, 2, 1, 0, 3, 3], [0, 1, 2, 1, 1, 2], [1, 0, 3, 0, 3, 2, 3], [2, 1, 0, 3, 3, 0, 1, 1, 1], [2, 1, 2, 3, 3, 0, 1, 1, 0], [1, 1, 0, 1, 0, 3, 0, 3, 0], [1, 0, 3, 0, 3, 0, 1, 2], - [3, 2, 3, 3, 2], [1, 0, 1, 1, 0, 1, 0], [2, 1, 2, 1, 0, 1, 1], [1, 0, 3, 2, 1, 1, 1, 2], [1, 1, 1, 0, 3, 0, 3], [1, 0, 1, 0, 1, 2, 3], [2, 3, 0, 1, 2, 1, 2, 1], [1, 1, 0, 3, 0, 3, 0, 3, 0], - [0, 3, 2, 1, 1, 1, 2, 3, 3], [0, 1, 2, 3, 3, 0, 3, 3], [3, 3, 2, 1, 2], [2, 3, 2, 3, 0, 1, 2, 1, 2], [3, 2, 1, 1, 1, 0, 3], [3, 0, 1, 1, 0, 1, 1, 2, 3], [2, 1, 1, 0, 1, 0, 1, 1], [0, 3, 2, 1, 0], - [0, 1, 1], [3, 3, 0, 1, 2, 1, 1, 2], [3, 3, 0, 3, 0], [2, 3, 3, 0, 1, 0, 3], [1, 0, 1, 2], [1, 1, 0, 1, 1, 0, 3], [3, 0, 1, 0, 3, 3, 2, 1, 1, 2], [0, 3, 0, 1, 2, 1, 2, 1, 0, 1], - [0, 1, 1, 1, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 1, 0, 3], [2, 3, 2, 3, 0, 3, 2, 3], [1, 1, 2, 3], [2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 1, 1, 0, 1], [1, 2, 1, 1, 0, 1, 0, 1, 0], [3, 0, 1, 0, 1, 1, 0], - [3, 0, 1, 1, 0, 1, 0], [3, 2, 1, 1, 1, 2, 3, 0], [0, 3, 2, 1, 2, 3, 3, 0, 1], [2, 1, 2, 1, 0, 1, 2, 3], [2, 1, 1, 2, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 2, 3, 0], [3, 2, 1, 0, 1, 1, 2], [1, 2, 1, 1, 1, 2, 1, 0], - [3, 2, 3, 0, 3, 0, 1, 2, 3], [3, 0, 3, 3, 2, 3, 3, 0, 1], [0, 3, 3, 2, 1, 1, 2, 3, 0, 3], [0, 1, 0, 1, 2, 3, 2, 3, 3], [0, 3, 0, 1, 2, 1, 1, 1, 2], [1, 0, 3, 2, 1, 0, 1], [0, 3, 2, 3, 0, 1, 0], [0, 1, 2, 3, 2, 3, 3, 0], - [1, 0, 3, 3, 2, 1, 0, 3, 3], [3, 0, 3, 2, 3, 0, 3, 3], [1, 0, 1, 0, 1, 0, 3, 0, 1], [1, 1, 1, 0, 3, 3, 0, 1], [1, 0, 3, 2, 1, 1, 2, 3, 0], [1, 2, 1, 0, 1, 1, 0, 3, 2, 1], [1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [0, 1, 2, 1, 1, 2, 3, 2, 3], - [0, 1, 0, 3, 2, 3, 2, 1, 0], [3, 2, 3, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 3, 2, 1, 1], [0, 3, 0, 3, 2], [3, 0, 1, 2, 1, 2, 1, 0], [2, 1, 1, 2, 3, 2, 1, 1], [1, 2, 1, 1, 2, 1, 1, 0], [2, 1, 2, 3, 3, 2, 1, 0], - [0, 1, 0, 1, 1, 1, 2, 1], [3, 3, 2, 3, 0, 1], [3, 2, 3, 2, 3, 3, 2, 3, 3], [1, 0, 3, 3, 0, 3, 3, 2], [0, 1, 2, 1, 1, 2, 1, 0, 3, 0], [1, 0, 3, 0, 3, 3, 0], [0, 1, 2, 3, 0, 1, 1, 2], [0, 1, 0, 1, 0, 3, 2, 3, 2, 1], - [3, 2, 1, 2, 3, 3, 0], [1, 2, 1, 0, 1, 2, 3, 3], [3, 2, 3, 3, 2, 3, 2, 3], [3, 2, 1, 1, 0, 1], [1, 2, 3, 3, 0, 1, 2, 1], [0, 3, 2, 1, 0, 1, 0, 3, 0], [0, 3, 0, 1, 1, 0, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3], - [0, 3, 3, 0, 1, 0, 1, 0], [1, 2, 1, 0, 3, 0, 3, 3, 0], [0, 3, 2, 3, 2, 1, 2], [2, 1, 1, 1, 2, 3], [0, 3, 3, 0, 3, 2, 1, 1, 1, 2], [1, 1, 0, 1, 2, 3, 2, 3], [3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 0, 3, 2, 3, 3], - [1, 0, 3, 3, 2, 3, 3], [3, 0, 3, 2, 1, 1], [2, 1, 1, 2, 1, 1, 1, 2, 1], [1, 1, 0, 3, 2, 3, 2, 3], [1, 2, 1, 1, 2, 3, 0, 3], [1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 2, 3, 0, 1], [1, 0, 3, 3, 0, 1, 2, 3, 3], - [3, 2, 1, 2, 1, 0, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1], [2, 1, 0, 1, 2, 3], [0, 1, 1, 0, 1, 1, 0, 3, 3], [1, 1, 2, 1, 0, 3, 3, 0, 1, 0], [2, 1, 1, 0, 3, 2], [3, 0, 3, 0, 3, 2, 1], [3, 0, 3, 0, 1, 1, 2, 3, 2], - [0, 1, 0, 3, 3, 0, 1, 2, 1, 0], [3, 2, 1, 1, 2, 3, 0], [3, 3, 2, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 3, 2, 3, 2, 1], [0, 1, 0, 1, 0, 1, 1, 2, 1, 0], [1, 1, 2, 3, 3, 0, 1, 1, 0], - [1, 2, 3, 0, 1, 1, 1, 2, 1], [1, 2, 3, 3, 2], [0, 3, 0, 1, 1, 2, 3, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0, 3], [0, 1, 1, 2, 1, 0, 3, 2, 3, 0], [0, 1, 1, 2, 3, 0, 1, 2], [1, 2, 3, 3, 0, 1, 1, 1, 0], [1, 2, 3, 0, 1, 1, 2, 3], - [1, 1, 1, 2, 1, 0, 3, 2, 1], [2, 3, 3, 2, 1], [2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1], [2, 1, 1, 2, 1, 0, 3, 2], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2, 3], [2, 3, 2, 1, 1, 0, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 1, 2], - [3, 2, 3, 2, 1, 1, 0, 1, 0], [0, 3, 0, 3, 2, 3, 0, 3, 0], [1, 0, 1, 2, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 2, 3], [0, 3, 0, 3, 2, 1, 2, 1, 0, 1], [0, 3, 0, 1, 0, 3, 3], [3, 0, 1, 2, 1, 1, 2], [1, 2, 3, 2, 1, 1, 2, 1], - [0, 1, 0, 1, 2, 3, 0, 1, 1, 1], [0, 3, 0, 3, 3, 0, 3, 3, 2], [0, 1, 1, 0, 3, 0, 3, 3, 2], [1, 1, 0, 3, 0, 1], [2, 3, 0, 1, 1], [2, 1, 2, 3, 2], [0, 1, 1, 1, 2, 1, 0, 1], [0, 1, 0, 3, 0], - [2, 3, 3, 2, 1, 1], [1, 0, 1, 2, 3, 2, 3, 2, 1, 0], [0, 3, 0, 1, 0, 3], [1, 0, 1, 1, 2, 3, 2, 3, 3], [2, 3, 0, 1, 1, 1], [1, 2, 3, 2, 1, 2], [0, 3, 0, 1, 2, 1, 0, 1, 0], [3, 2, 1, 1, 2, 3, 0, 1], - [3, 0, 3, 2, 1, 1, 1], [1, 0, 3, 3, 2, 3], [1, 1, 0, 3, 0, 3, 2, 3, 3, 2], [0, 1, 1, 2, 1, 1, 1, 0], [0, 1, 0, 1, 2, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 2, 1], [1, 0, 3, 3, 0, 1, 2, 3], [0, 1, 1, 1, 2, 3, 0, 1, 1], - [2, 1, 1, 2, 1, 1, 2], [3, 0, 1, 2, 1, 1, 2, 1], [0, 1, 1, 0, 1, 1, 0, 3], [2, 1, 0, 1, 2], [2, 1, 1, 0, 3, 2, 1], [3, 0, 1, 2, 1, 2, 3, 3, 0], [0, 1, 1, 0, 1, 1, 1, 2, 3], [3, 2, 3, 2, 1, 0, 3, 3], - [3, 0, 1, 1, 2, 1, 2, 1], [3, 2, 1, 0, 3, 2, 3], [0, 3, 0, 1, 1, 2, 3], [0, 3, 0, 3, 0, 1, 1, 1, 0], [0, 1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 0, 1, 1], [3, 0, 3, 0, 3, 2, 1, 1], [1, 0, 1, 1, 1, 2, 3, 0, 3], - [2, 1, 0, 3, 0, 3, 0, 1, 2], [0, 3, 0, 1, 1, 0, 1, 2, 3], [1, 2, 1, 0, 1, 0, 3, 3], [0, 1, 0, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 3], [1, 1, 2, 1, 1, 0, 1, 0, 3], [1, 2, 3, 0, 1, 1, 2], [1, 2, 3, 3, 2, 3, 0, 3, 2], - [1, 1, 1, 0, 3, 2, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0], [2, 1, 0, 1, 1, 2, 1, 1], [2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 0, 3, 2, 3, 2], [2, 1, 1, 2, 1, 1, 1, 2, 1, 1], [1, 1, 0, 3, 0, 1, 1], [0, 1, 1, 0, 3, 0, 3, 3, 2, 1], - [3, 3, 2, 3, 3, 2, 1, 0], [1, 2, 3, 3, 2, 1], [3, 0, 3, 0, 3, 3, 2], [3, 0, 1, 1, 0, 3, 3, 0], [2, 1, 1, 1, 2], [0, 3, 3, 2, 3, 3], [1, 0, 1, 2, 1, 2, 1, 0, 1, 1], [3, 2, 1, 2, 1, 0], - [1, 2, 1, 1, 2, 3, 0], [1, 1, 0, 1, 0, 1, 1], [0, 3, 0, 1, 1, 1, 0, 1, 0], [2, 3, 2, 1, 1, 0, 3, 0], [2, 3, 2, 3, 3, 2, 1, 0, 3], [1, 1, 0, 1, 2, 3, 2], [2, 1, 2, 1, 2, 3, 3, 2, 3], [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1], - [1, 1, 1, 0, 1, 0, 3, 3], [2, 3, 2, 3, 2, 1, 0, 3, 3], [0, 1, 1, 0, 3, 0, 3, 0, 1, 0], [2, 1, 0, 1, 2, 3, 0, 1], [1, 0, 3, 3, 2, 3, 3, 0, 1], [3, 0, 3, 2, 1, 1, 0, 1], [0, 1, 2, 1, 1, 1, 0, 3, 3], [3, 2, 1, 1, 2, 3, 2, 1], - [1, 1, 2, 1, 1, 1, 0, 1, 1, 0], [2, 1, 1, 2, 1, 2, 1, 0], [2, 3, 0, 1, 0, 3, 3, 0], [0, 3, 3, 0, 3, 2, 3, 3], [0, 1, 2, 1, 0, 1, 1, 2, 1, 2], [0, 1, 2, 1, 2, 3, 3, 0, 1, 1], [1, 0, 1, 0, 3, 0, 1, 1], [0, 1, 1, 0, 3, 0, 3] -] -private def clayworthWitnessData_chunk9 : Array (List (Fin 4)) := #[ - [1, 0, 1, 1, 0, 3, 2, 1, 1], [1, 2, 3, 2, 3, 2], [0, 1, 0, 3, 2, 1], [3, 2, 3, 0, 3, 3], [3, 0, 3, 0, 1, 1, 2], [3, 0, 3, 0, 3, 2, 1, 0, 1], [1, 2, 3, 3, 2, 1, 0, 3, 3, 2], [3, 0, 1, 1, 2, 1, 1], - [1, 0, 1, 2, 3, 3, 0, 1, 2], [2, 3, 3, 2, 1, 0, 1], [3, 2, 1, 2, 1, 2, 3, 0], [0, 3, 0, 1, 2, 1, 1, 0, 3], [0, 3, 0, 1, 0, 3, 3, 0, 1], [1, 2, 3, 2, 3, 0, 3, 2], [1, 2, 1, 1, 2, 3, 2, 3, 0], [3, 0, 3, 3, 2, 1, 0, 3, 3], - [0, 3, 0, 3, 3, 0, 3], [1, 1, 0, 1, 2, 3, 3, 0], [2, 1, 1, 2, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 2], [3, 0, 1, 2, 1, 1, 1], [1, 2, 3, 0, 1, 2, 1, 0], [2, 3, 0, 1, 1, 0, 1], [2, 1, 2], - [2, 1, 0, 3, 2], [1, 0, 1, 1, 2, 1, 0, 1, 2], [3, 0, 3, 0, 1, 1, 1, 0], [3, 3, 0, 3, 3, 0, 1, 1], [2, 1, 1, 0], [0, 1, 0, 1, 2, 1, 2, 3, 3], [1, 0, 1, 2, 3, 0, 3, 2, 1], [3, 2, 1, 0, 1, 0, 3], - [2, 3, 0, 1, 1, 1, 0, 3, 0], [1, 2, 3], [3, 3, 2, 1, 1, 0, 3, 3], [2, 1, 0, 3, 3, 0, 1, 2, 3], [1, 1, 0, 3, 2, 3, 3, 0], [1, 1, 0, 1, 2, 3, 3, 2, 1, 0], [0, 3, 2, 3, 2, 1, 1], [2, 1, 1, 1, 2, 3, 0, 1], - [1, 1, 0, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 0, 1, 1], [3, 2, 1, 1, 0, 3, 0, 1, 2], [3, 0, 1, 1, 1, 0, 1, 0, 1, 2], [2, 1, 0, 3, 0, 3, 2], [0, 1, 0, 1, 1, 2, 1], [2, 3, 3, 2, 1, 1, 0, 3, 0], [0, 3, 2, 3, 3, 0, 1, 0, 1, 1], - [0, 3, 2, 3, 0, 3, 0, 1, 1], [0, 1, 2, 3, 2, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 3, 3, 0], [2, 1, 0, 1, 2, 3, 0], [2, 3, 3, 2, 1, 0], [1, 1, 1, 2, 3, 3, 2, 1], [1, 2, 3, 0, 1, 1, 2, 3, 0], [1, 2, 3, 3, 0, 1, 1, 1, 2], - [3, 0, 1, 1, 2, 1], [3, 2, 1, 0, 3, 2, 3, 3, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 2, 3, 3, 0, 1, 1], [0, 3, 0, 1, 0, 3, 3, 0], [1, 2, 3, 2, 3, 0, 3, 2, 3], [2, 1, 1, 1, 2, 3, 0], [0, 3, 2, 3, 2, 1], - [1, 1, 2, 3, 2, 3, 0, 1], [1, 0, 1, 2, 3, 0, 3, 2], [1, 0, 1, 0, 3, 0, 1], [0, 1, 1, 0, 3, 0, 3, 3], [2, 3, 0, 1, 1, 0], [2, 1, 2, 3], [0, 1, 0, 3, 3, 0, 1, 2, 1, 2], [3, 2, 1, 1, 2, 3, 2], - [0, 3, 3, 0, 1, 0, 1, 2], [1, 2, 1, 0, 3, 0, 3, 3, 2], [1, 0, 3, 3, 2, 3, 3, 0], [3, 0, 3, 2, 1, 1, 0], [0, 3, 0, 3, 0, 3, 0, 1], [1, 0, 1, 0, 1, 0, 3, 2, 3, 2], [0, 3, 3, 0, 3, 2, 1, 1, 1], [0, 3, 2, 3, 3, 2, 1, 1], - [1, 0, 1, 1, 0, 3, 2, 1], [1, 1, 0, 1, 0, 1, 0], [3, 0, 3, 0, 3, 2, 1, 0], [3, 0, 3, 0, 1, 1, 2, 3], [3, 2, 1, 2, 1, 0, 3, 0], [1, 0, 1, 2, 1, 2, 1, 0, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 2, 3], [2, 1, 1, 2, 1, 0, 3], - [3, 3, 0, 3, 3, 0, 1], [3, 0, 3, 0, 1, 1, 1, 0, 3], [3, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 2], [2, 1, 1, 0, 3], [0, 1, 0, 1, 2, 1, 2, 1, 1, 1], [1, 1, 0, 1, 2, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3], - [1, 0, 3, 3, 0, 1, 2, 3, 3, 0], [2, 3, 2, 1, 1, 2, 1, 1], [0, 3, 2, 3, 3, 0, 1, 0, 1], [0, 3, 0, 3, 2, 3, 0, 3, 2], [2, 1, 1, 1, 0, 1, 0, 1, 1], [0, 1, 2, 1, 2, 3, 3, 0, 1], [3, 2, 3, 0, 1, 1, 1], [0, 1, 0, 3, 2], - [1, 2, 3, 0, 1, 2, 1, 0, 3], [3, 0, 1, 2, 1, 1], [0, 1, 1, 2, 3, 0, 1], [0, 1, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 0, 1, 1, 2, 1, 0], [2, 1, 0, 3, 2, 3], [1, 2, 3, 0, 1, 1, 1, 2, 1, 0], [1, 2, 3, 3], - [1, 0, 3, 3, 2, 1, 1, 0], [3, 0, 3], [2, 1, 2, 1, 0, 3, 2, 3, 2], [1, 2, 1, 1, 1, 0, 1, 1, 1], [0, 3, 2, 1, 2, 1, 1, 2, 3], [3, 0, 3, 0, 3, 2, 3, 0], [3, 2, 1, 0, 3, 2, 1, 1, 0], [3, 0, 3, 2, 1, 0, 1, 2], - [3, 3, 2, 1, 1, 1, 2, 3], [2, 3, 2, 1, 2, 3, 3, 2, 1], [2, 3, 2], [1, 1, 1, 2, 1], [0, 1, 0, 3, 0, 3, 0, 1, 2], [0, 1, 1, 1, 2, 1, 2, 1, 2], [1, 0, 3, 2, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1], - [0, 3, 0, 3, 0, 1, 2, 1, 0, 3], [1, 1, 0, 3, 2, 1, 2], [1, 1, 2, 1, 1, 2, 1, 1], [0, 1, 1, 1, 2, 3, 2, 1, 2], [2, 1, 1, 0, 3, 2, 3, 3, 0], [2, 1, 2, 3, 3, 0, 1, 1, 1], [2, 3, 3, 0, 1, 1, 0, 3, 0], [0, 1, 2, 3, 3, 0, 3, 2, 1, 0, 1], - [1, 2, 1, 2, 1, 2, 3], [0, 3, 3, 0, 3, 0, 3, 0, 1], [1, 2, 1, 1, 0, 3, 3], [0, 1, 2, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0], [0, 3, 3, 2, 1, 0], [1, 1, 2, 1, 1, 1, 0, 3, 2], [2, 1, 1, 2, 1, 2, 3, 3, 2], - [0, 3, 2, 1, 1], [0, 1, 2, 3, 3, 2, 3], [2, 1, 1, 1, 0, 1, 2, 3, 3], [0, 3, 0, 1, 1, 2, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 3, 0], [3, 2, 1, 1, 0, 3, 0, 3, 2], [1, 0, 3, 0, 3, 2, 1, 0, 3], [1, 0, 3, 0, 1, 1, 2, 3, 3], - [2, 3, 3, 2, 3, 0], [2, 1, 0, 1, 1, 1, 2], [1, 0, 3, 2, 3, 2, 3], [0, 1, 1, 1, 0, 1, 2, 1], [0, 1, 1, 2, 1, 0, 1, 0, 1], [2, 1, 1, 2, 3, 3, 2], [0, 1, 0, 3, 0, 3, 3, 0], [0, 1, 1, 1, 2, 1, 0, 3, 0], - [3, 2, 3, 3, 0, 1], [1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 1, 2, 1, 0, 3], [1, 1, 0, 1, 0, 3, 0], [1, 1, 0, 3, 0, 3, 0], [2, 3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 1, 2, 1, 2, 1, 0, 3], [3, 3, 2, 1, 0, 1], - [2, 3, 2, 3, 2, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 1], [1, 1, 0, 1, 2, 1, 2], [1, 0, 1, 0, 1, 2, 3, 2, 1], [3, 0, 3, 3, 0, 1, 1, 0, 3], [3, 2, 3, 0, 1, 0, 3, 3], [1, 2, 3, 0, 3, 3, 2], [0, 3, 2, 1, 0, 1, 1, 0, 3], - [0, 3, 3, 0, 3, 0, 1], [0, 3, 2, 3, 3, 2, 3, 2, 1], [3, 2], [2, 3, 2, 3, 0, 1, 1, 2], [1, 1, 2, 3, 3, 2, 3, 3], [0, 1, 1, 2, 1, 1, 0, 3], [2, 1, 2, 1, 1, 2, 1], [1, 1, 0, 1, 2, 1, 2, 1, 0], - [0, 1, 2, 3, 3], [0, 3, 2, 1, 1, 1, 0], [0, 1, 1, 2, 1, 2, 1, 2], [3, 0, 3, 3, 2, 1, 1], [3, 0, 1, 0, 3, 3, 0, 3], [0, 3, 2, 1, 2, 1, 1], [1, 0, 3, 2, 3], [0, 1, 1, 0, 1, 0, 1, 2, 1, 1], - [0, 1, 0, 1, 1, 1, 0, 3, 3], [3, 3, 2, 1, 1, 1], [1, 0, 1, 2, 3, 3, 2, 3, 2], [0, 3, 2, 3, 2, 3, 0, 3, 0], [1, 2, 1, 1, 1, 0, 3, 3, 0], [0, 3, 0, 3, 0, 1, 1, 0, 3], [0, 3, 3, 2, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 3, 0, 1], - [1, 1, 1, 0, 1, 1], [2, 3, 2, 3, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 3], [1, 1, 1, 0, 3, 0, 1, 2], [0, 1, 2, 1, 1, 2, 1, 1, 2], [1, 0, 3, 0, 3, 2, 1, 2], [0, 3, 0, 3, 2, 3, 2, 3, 3], [1, 2, 3, 0, 3, 0, 3, 2], - [2, 3, 3, 2, 3, 0, 1, 0], [0, 3, 0, 1, 1, 1, 2, 3], [0, 1, 2, 1, 0, 1, 2], [1, 0, 1, 1, 0, 1, 1, 1, 0], [1, 1, 0, 3, 3, 2, 1, 1, 1, 2], [1, 1, 2, 1, 1, 1, 2, 3, 2], [0, 1, 0, 1, 2, 1, 0, 1], [2, 1, 1, 0, 1, 1, 2, 1], - [0, 1, 1, 2, 1, 0, 1, 1, 1], [1, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 1, 2, 3, 2, 3, 3, 0], [0, 3, 2, 1, 0, 1, 1, 2], [1, 2, 3, 3, 0, 1, 0, 3, 3], [3, 3, 2, 1, 2, 1, 2, 1, 1, 1], [2, 1, 1, 1, 0, 3, 0, 3], [0, 1, 1, 2, 3, 0, 3, 3, 2, 1], - [0, 1, 1, 0, 3, 3, 2, 3], [3, 3, 0, 1, 0, 3], [0, 1, 1, 1, 0, 1, 1, 1, 2], [1, 2, 1, 2, 1], [0, 1, 0, 3, 3, 2, 1, 0, 1], [2, 1, 0, 3, 3, 0, 3, 2], [1, 0, 3, 0, 3, 0, 1, 1, 1], [1, 2, 1, 2, 3, 3, 0, 1, 2], - [1, 2, 1, 1, 0, 3, 0], [0, 1, 2, 1, 1, 0, 1, 1, 0], [1, 1, 1, 2, 1, 1, 0], [2, 3, 2, 1, 0], [1, 0, 1, 0, 1, 1, 0, 3], [1, 1, 1, 0, 3, 2, 1, 0, 3], [0, 3, 0, 3, 3, 0, 1, 2, 1], [2, 3, 3, 2, 3, 3, 2, 3, 0, 1], - [0, 1, 0, 3, 0, 1, 1, 0, 3], [1, 0, 1, 0, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 3, 3, 0, 3, 3, 2], [0, 3, 0, 3, 0, 1, 1, 2, 3, 0], [1, 2, 1, 2, 1, 1, 0, 3, 0], [0, 1, 1, 2, 1, 1, 1, 0, 1, 2], [1, 2, 3, 0, 1, 1, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1, 1], - [1, 0, 1, 0, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 3], [0, 1, 2, 3, 0, 3, 3], [1, 0, 1, 1, 1, 2, 3, 2, 3], [0, 1, 1, 2, 3, 2, 1, 2, 1], [0, 3, 0, 1, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2, 1, 1], - [0, 3, 2, 3, 3, 0, 1, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2], [0, 1, 1, 0, 1, 1], [2, 1, 0, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1, 1, 1], [1, 0, 3, 2, 3, 3, 2, 1, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3], [1, 1, 1, 0, 1, 1, 1, 0, 3, 3], - [1, 0, 3, 2, 1, 0, 3, 3, 0, 1], [3, 0, 1, 0, 3, 3, 2, 3, 0], [0, 1, 0, 1, 1, 0, 1, 1, 2], [1, 2, 1, 0, 1, 0, 3, 2], [2, 3, 0, 3, 3, 0, 3], [0, 1, 1, 2, 1, 1, 2, 3, 0], [1, 2, 3, 2, 1, 2, 1, 2], [2, 3, 0, 3, 3, 2], - [1, 2, 3, 3, 2, 1, 1, 2], [2, 3, 3, 2, 1, 1, 1, 0, 3], [1, 0, 3, 0, 3, 3, 2, 1, 1], [2, 1, 2, 3, 3, 0, 1, 2, 1], [3, 2, 1, 0, 3, 3], [2, 1, 1, 2, 1, 1, 2, 1, 2], [0, 3, 0, 1, 2, 3], [1, 2, 1, 1, 0, 1, 1, 2, 1], - [1, 0, 3, 3, 0], [3, 0, 3, 2, 3, 3, 2], [2, 3, 0, 3, 0, 3, 3, 0, 1, 1], [0, 3, 0, 1, 1, 0], [1, 1, 1, 2, 3, 2, 1], [2, 3, 2, 3, 3, 2, 1], [1, 0, 1, 1, 1], [0, 3, 3, 2, 3, 2], - [1, 0, 3, 3, 0, 1, 0], [0, 3, 2, 1, 1, 2, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0, 1], [0, 1, 0, 1, 2, 3, 0, 3, 2], [0, 1, 0, 3, 0, 1, 1, 2], [0, 1, 2, 1, 0, 3, 2, 3, 2, 1], [1, 1, 2, 1, 1, 0, 1], [1, 1, 2, 1, 2, 3, 2], - [3, 0, 3, 0, 3, 3, 2, 1, 2], [1, 1, 2, 3, 2, 1, 1, 2, 3, 0], [2, 1, 2, 1, 2, 3, 3, 0], [0, 3, 2, 1, 2, 1, 1, 1, 0, 3, 3], [3, 3, 0, 1, 2, 3, 0], [3, 0, 1, 1, 1, 2, 1], [0, 3, 0, 1], [1, 0, 1, 1, 2, 3, 2, 3, 2], - [1, 0, 1], [0, 3, 3, 2, 3, 2, 3, 3], [2, 1, 2, 1, 2, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2], [1, 0, 1, 2, 3, 3, 2, 1, 0, 1], [0, 1, 2, 1, 2, 3, 2], [3, 2, 1, 0, 1, 1], [1, 2, 1, 1, 1, 2, 1, 2], - [0, 3, 2, 3, 3, 0, 1, 1, 2], [3, 2, 1, 2, 1, 0, 1, 2, 3, 3], [1, 1, 0, 3, 3, 2, 3, 0, 1], [0, 1, 2, 1, 1, 2, 3, 2, 3, 0], [1, 2, 1, 1, 2, 1, 1, 2], [2, 1, 2, 3, 3, 2, 1, 2], [3, 0, 1, 1, 1, 2, 3], [3, 3, 2, 3, 0, 1, 0], - [3, 2, 1, 2, 3, 3, 2], [1, 2, 1, 0, 1, 2, 3, 3, 0], [3, 3, 0, 3, 2], [2, 3, 2, 3, 3, 2, 3], [3, 0, 1, 2, 1, 2, 1, 2], [2, 1, 1, 2, 3, 2, 1, 1, 0], [3, 2, 3, 0, 3, 2, 1], [1, 1, 2, 3, 0], - [0, 1, 1, 1, 0, 3, 0, 1], [0, 1, 1, 1, 2, 1, 1, 0, 3, 0], [0, 1, 0, 3, 2, 3, 2, 1, 2], [2, 1, 1, 2, 3, 2, 3, 0, 3], [1, 0, 1, 1, 1, 2, 1, 1, 1], [0, 1, 2, 3, 0, 1, 1], [1, 0, 1, 1, 0, 3, 0, 1, 2], [1, 1, 0, 1, 1, 2, 3, 0, 1], - [3, 0, 3, 2, 3, 3, 2, 3, 3], [1, 0, 3, 3, 0, 3, 3], [2, 1, 0, 3, 3, 2, 1, 1, 0], [0, 3, 0, 3], [2, 1, 1, 0, 3, 3, 2, 1, 2], [3, 2, 1, 1, 0, 1, 0], [3, 0, 1, 0, 3, 3, 2, 1, 1], [0, 3, 0, 1, 2, 1, 2, 1, 0, 1, 0], - [0, 3, 2, 3, 2, 1, 1, 1, 2, 1], [3, 3, 2, 1, 0, 3, 2, 3], [1, 2, 3, 3, 0, 1, 2, 1, 0], [0, 3, 2, 1, 0, 1, 0, 3, 2], [0, 1, 1, 0], [3, 3, 0, 1, 2, 1, 1], [1, 2, 1, 2, 3, 3, 2, 3, 2], [2, 1, 2, 1, 0, 1, 2, 3, 0], - [0, 3, 0, 1, 1, 0, 3, 3], [2, 3, 0, 3, 0, 3, 3, 0], [3, 0, 1, 1, 0, 1, 2], [3, 2, 1, 1, 1, 2, 3, 2], [2, 3, 0, 3, 3, 2, 3, 3], [2, 1, 1, 0, 1, 2, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 2, 1, 2, 1, 2, 1, 1], - [1, 0, 3, 2, 1, 0, 3, 3, 0, 3], [2, 1, 1, 2, 1, 0, 1, 2, 1], [0, 3, 0, 1, 2, 1, 1, 1], [1, 0, 3, 2, 1, 0, 1, 0], [0, 3, 2, 3, 0, 1, 2], [0, 1, 2, 3, 2, 3, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2, 3], [1, 0, 3, 0, 3, 3, 2], - [3, 2, 1, 1, 1, 2, 3, 2, 1], [3, 0, 1, 1, 0, 1, 2, 1], [0, 3, 3, 2, 1, 0, 3, 3, 2], [2, 1, 1, 2, 3, 2, 3, 0], [1, 0, 3, 3, 0, 3], [3, 0, 3, 2, 3, 3, 2, 3], [0, 3, 0, 1, 1, 0, 3], [2, 3, 0, 3, 0, 3, 3, 0, 1], - [2, 1, 2, 3, 3, 2, 1, 2, 1], [1, 2, 1, 1, 2, 1, 1, 2, 1], [2, 3, 0, 3, 3, 2, 3], [2, 1, 1, 0, 1, 2, 1, 1], [3, 2, 1, 2, 1, 0, 1, 2, 3], [0, 3, 2, 3, 3, 0, 1, 1, 2, 1], [1, 1, 2, 1, 2, 3, 2, 3], [1, 1, 2, 1, 1, 0], - [2, 1, 0, 1, 2, 1, 2, 3], [0, 1, 1, 0, 1], [1, 1, 2, 3, 2, 3, 2, 1, 2], [3, 3, 2, 1, 0, 3, 2], [1, 0, 3, 0, 1, 1, 1, 2, 1, 2], [1, 0, 3, 2, 1, 0, 3, 3, 0], [3, 0, 1, 1, 1, 2], [3, 2, 1, 1, 0, 3, 3, 0], - [1, 2, 3, 2, 3, 3, 2, 3, 0], [0, 1, 0, 3, 0, 1, 1, 0, 3, 3], [2, 1, 2, 1, 2, 1, 1], [2, 1, 1, 1, 0, 1, 1, 1, 2, 1], [1, 0, 3, 3, 0, 1, 0, 3], [3, 0, 1, 2, 1, 0, 1, 2], [3, 2, 1, 1, 0, 1, 0, 1], [1, 2, 3, 0, 1, 1, 2, 1, 2, 3] -] -private def clayworthWitnessData_chunk10 : Array (List (Fin 4)) := #[ - [0, 1, 1, 2, 3, 2, 1, 2], [1, 0, 1, 1, 1, 2, 3, 2, 3, 3], [0, 3, 3, 0, 3, 0, 3, 0, 3, 2], [3, 2, 1, 0, 3, 3, 2, 3, 3], [0, 1, 0, 3, 0, 1, 1, 2, 3], [0, 1, 2, 1, 0, 3, 2, 3, 2], [2, 1, 2, 3, 3, 0, 1, 2], [1, 0, 3, 0, 3, 3, 2, 1], - [1, 1, 1, 2, 3, 2], [2, 3, 2, 3, 3, 2], [0, 1, 2, 3, 0, 1, 1, 1], [1, 0, 1, 1, 1, 2, 3, 3], [1, 1, 2, 1, 2, 3, 0, 3, 3], [3, 2, 1, 2, 3, 3, 2, 1], [3, 2, 3, 0, 1, 1, 0, 1, 2], [0, 1, 0, 3, 2, 3, 0, 1, 2], - [3, 2, 1, 0, 1, 1, 1], [0, 3, 0, 3, 0, 3, 2, 1, 2], [0, 3, 3, 2, 3, 2, 3], [1, 0, 1, 1], [1, 2, 1, 1, 1, 0, 1, 2], [0, 1, 1, 2, 1, 1, 2, 3, 0, 3], [0, 1, 2, 3, 3, 2, 1, 1, 1, 2], [0, 3, 0], - [2, 3, 2, 1, 2, 1, 0, 3, 0], [3, 0, 1, 2, 1, 2, 1, 2, 1], [0, 1, 2, 3, 2, 3, 3, 2, 1], [0, 3, 2, 3, 0, 1, 2, 1], [1, 2, 1, 1, 0, 1, 1, 2], [0, 3, 0, 1, 2, 3, 3], [2, 1, 2, 1, 2, 3, 3, 0, 3], [1, 1, 1, 0, 1, 2, 1, 2, 1, 0] -] -private def clayworthWitnessData : Array (List (Fin 4)) := - clayworthWitnessData_chunk0 ++ clayworthWitnessData_chunk1 ++ clayworthWitnessData_chunk2 ++ clayworthWitnessData_chunk3 ++ clayworthWitnessData_chunk4 ++ clayworthWitnessData_chunk5 ++ clayworthWitnessData_chunk6 ++ clayworthWitnessData_chunk7 ++ clayworthWitnessData_chunk8 ++ clayworthWitnessData_chunk9 ++ clayworthWitnessData_chunk10 -private theorem clayworthWitnessData_size : clayworthWitnessData.size = 4032 := by native_decide - -def clayworthWitnessWords (v : Fin 4032) : List (Fin 4) := - clayworthWitnessData[v.val]'(by have := clayworthWitnessData_size; omega) - -theorem clayworthWitness_correct : - ∀ v : Fin 4032, applyWord' clayworthGens (clayworthWitnessWords v) 0 = v := by - native_decide - -/-! ## Sabidussi coset graph -/ - -section ClayworthSabidussi - -/-- The group generated by the two G₂(2) generators. -/ -private def cGroup := Subgroup.closure (Set.range clayworthGens) - -private noncomputable instance : MulAction cGroup (Fin 4032) := - MulAction.compHom _ cGroup.subtype - -private noncomputable instance : GraphAction cGroup (Fin 4032) clayworthGraph where - adj_smul g u v h := closureGraphAction clayworthGens - (fun i => by match i with | 0 => exact clayworthGen1_adj | 1 => exact clayworthGen2_adj) - g.1 g.2 u v h - -set_option maxRecDepth 8192 in -set_option maxHeartbeats 1600000 in -private noncomputable instance : MulAction.IsPretransitive cGroup (Fin 4032) where - exists_smul_eq x y := - ⟨⟨_, cGroup.mul_mem (applyWord'_mem clayworthGens _) - (cGroup.inv_mem (applyWord'_mem clayworthGens _))⟩, by - change ((applyWord' clayworthGens (clayworthWitnessWords x)).symm.trans - (applyWord' clayworthGens (clayworthWitnessWords y))) x = y - simp only [Equiv.trans_apply] - rw [show (applyWord' clayworthGens (clayworthWitnessWords x)).symm x = 0 from by - rw [Equiv.symm_apply_eq]; exact (clayworthWitness_correct x).symm] - exact clayworthWitness_correct y⟩ - -/-- **The Clayworth graph is a Sabidussi coset graph.** - -G₂(2) acts vertex-transitively on the 4032 cosets of C₃. -`Clayworth ≃g Sab(G₂(2), C₃, D)` with `4032 = 12096/3` vertices, genus 505. -/ -set_option maxRecDepth 8192 in -set_option maxHeartbeats 1600000 in -noncomputable def clayworthSabidussiIso : - clayworthGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer cGroup (0 : Fin 4032)) - (connectionSet cGroup clayworthGraph 0) (connectionSet.isConnectionSet 0) := - sabidussiIso 0 - -end ClayworthSabidussi From c57c0b46f1d86bfb5d3fc89282faecd77edbbe88 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Fri, 22 May 2026 23:39:35 +1000 Subject: [PATCH 34/35] feat(Archive): Langer and Zhou-6 primitivity, no cubic cover of Langer MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Adds LangerGraph.lean (Langer graph, Tutte 12-cage, G₂(2) generators, structural equality) and PrimitiveGraphs.lean (Atkinson's algorithm proving Langer and Zhou-6 primitive, Tutte 12-cage point subgraph edgeless). --- Archive.lean | 2 + Archive/LangerGraph.lean | 536 +++++++++++++++++++++++++++++++++++ Archive/PrimitiveGraphs.lean | 193 +++++++++++++ 3 files changed, 731 insertions(+) create mode 100644 Archive/LangerGraph.lean create mode 100644 Archive/PrimitiveGraphs.lean diff --git a/Archive.lean b/Archive.lean index eee82bb9e02f74..e88424e0f274dd 100644 --- a/Archive.lean +++ b/Archive.lean @@ -65,6 +65,8 @@ import Archive.Imo.Imo2024Q6 import Archive.Imo.Imo2025Q3 import Archive.KleinSurface import Archive.Kuratowski +import Archive.LangerGraph +import Archive.PrimitiveGraphs import Archive.MinimalSheffer import Archive.MiuLanguage.Basic import Archive.MiuLanguage.DecisionNec diff --git a/Archive/LangerGraph.lean b/Archive/LangerGraph.lean new file mode 100644 index 00000000000000..9d3e87c814c5f8 --- /dev/null +++ b/Archive/LangerGraph.lean @@ -0,0 +1,536 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Data.ZMod.Basic +import Mathlib.Data.Matrix.Basic +import Mathlib.Data.Fin.VecNotation +import Mathlib.Combinatorics.SimpleGraph.Basic +import Mathlib.Combinatorics.SimpleGraph.Action +import Mathlib.Combinatorics.SimpleGraph.Representation + +/-! +# The Langer graph, the Tutte 12-cage, and the GH(2,2) ecosystem + +The **Langer graph** is the collinearity graph of the split Cayley hexagon GH(2,2), +the unique generalized 6-gon over 𝔽₂. It has 63 vertices (the points of the parabolic +quadric Q(6,2) in PG(6,2)), is 6-regular with 189 edges, and is the unique +distance-regular graph with intersection array {6, 4, 4; 1, 1, 3}. + +The **Tutte 12-cage** is the incidence graph of GH(2,2): 126 vertices +(63 points + 63 lines), 189 edges, girth 12. It is semisymmetric — edge-transitive +but not vertex-transitive — because no polarity exists for GH(2,2) over 𝔽₂. + +The main result `langer_eq_tutte12_distance2` proves that the Langer graph (defined +algebraically via the Zorn product on Q(6,2)) equals the distance-2 graph of the +Tutte 12-cage restricted to points (defined combinatorially from the edge list). +The proof uses G₂(2) transitivity: both graphs are invariant under two generators +of G₂(2), so they agree everywhere if they agree at vertex 0. + +## Main definitions + +* `langerSimpleGraph` — the Langer graph on `Fin 63`, via Zorn product +* `tutte12CageGraph` — the Tutte 12-cage on `Fin 126`, via edge list +* `Q62form` — the quadratic form Q(x) = x₀x₄ + x₁x₅ + x₂x₆ + x₃² on 𝔽₂⁷ +* `Q62_H` — the 7 × 63 parity-check matrix from Q(6,2) + +## Main results + +* `Q62_self_orthogonal` — H · Hᵀ = 0 over 𝔽₂ +* `langer_regular` — the Langer graph is 6-regular +* `tutte12_bipartite` — the Tutte 12-cage is bipartite +* `langer_eq_tutte12_distance2'` — algebraic Langer = geometric distance-2 + (structural proof via G₂(2) transitivity) + +## Visualizations + +* [The Langer graph](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/langer-63v.jpg) — symmetry-aware drawing with 6-fold rotational layout +* [The Tutte 12-cage](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/tutte-12cage.jpg) — incidence graph of GH(2,2) + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +* Benson, *Minimal regular graphs of girth 8 and 12*, Canad. J. Math. 18 (1966) +* Springer–Veldkamp, *Octonions, Jordan Algebras and Exceptional Groups*, §1.8 +-/ + +set_option linter.style.nativeDecide false + +open Matrix + +/-! ## Part 1: The quadratic form Q(6,2) -/ + +/-- The quadratic form Q(x) = x₀x₄ + x₁x₅ + x₂x₆ + x₃² on 𝔽₂⁷. +Points of Q(6,2) are the nonzero vectors with Q(x) = 0. -/ +def Q62form (x : Fin 7 → ZMod 2) : ZMod 2 := + x 0 * x 4 + x 1 * x 5 + x 2 * x 6 + x 3 * x 3 + +/-- Convert a natural number (1..127) to its bit vector in 𝔽₂⁷. -/ +def toBitVec (n : Fin 128) : Fin 7 → ZMod 2 := + fun i => if n.val / (2 ^ i.val) % 2 = 0 then 0 else 1 + +/-- The list of indices (1..127) whose bit vectors lie on Q(6,2). -/ +def q62Indices : List (Fin 128) := + (List.finRange 128).tail.filter fun n => Q62form (toBitVec n) = 0 + +/-- Q(6,2) has exactly 63 points. -/ +theorem q62_card : q62Indices.length = 63 := by native_decide + +/-- Get the n-th point of Q(6,2) (as an index into Fin 128). -/ +def q62Point (j : Fin 63) : Fin 128 := + q62Indices.get (j.cast (by native_decide)) + +/-- The parity-check matrix: H[i][j] = (j-th Q(6,2) point)[i-th coordinate]. -/ +def Q62_H : Matrix (Fin 7) (Fin 63) (ZMod 2) := + fun i j => toBitVec (q62Point j) i + +/-- **Self-orthogonality of Q(6,2)**: H · Hᵀ = 0 over 𝔽₂. +The CSS condition: the code C = ker(H) contains its dual C⊥ = rowspan(H). -/ +theorem Q62_self_orthogonal : Q62_H * Q62_Hᵀ = (0 : Matrix (Fin 7) (Fin 7) (ZMod 2)) := by + native_decide + +/-! ## Part 2: The Langer graph via Zorn product -/ + +/-- Adjacency test for the Langer graph via the Zorn product criterion. +Returns `true` iff `i ≠ j` and all eight entries of M_x · M_y vanish, +where M_x is the Zorn vector matrix of the split octonion algebra over 𝔽₂. -/ +def langerAdjBool (i j : Fin 63) : Bool := + if i == j then false else + let x := toBitVec (q62Point i) + let y := toBitVec (q62Point j) + let α := x 3; let γ := y 3 + (α * γ + x 0 * y 4 + x 1 * y 5 + x 2 * y 6 == 0) && + (α * γ + x 4 * y 0 + x 5 * y 1 + x 6 * y 2 == 0) && + (γ * x 0 + α * y 0 + x 5 * y 6 + x 6 * y 5 == 0) && + (γ * x 1 + α * y 1 + x 6 * y 4 + x 4 * y 6 == 0) && + (γ * x 2 + α * y 2 + x 4 * y 5 + x 5 * y 4 == 0) && + (γ * x 4 + α * y 4 + x 1 * y 2 + x 2 * y 1 == 0) && + (γ * x 5 + α * y 5 + x 2 * y 0 + x 0 * y 2 == 0) && + (γ * x 6 + α * y 6 + x 0 * y 1 + x 1 * y 0 == 0) + +/-- The **Langer graph**: collinearity graph of the split Cayley hexagon GH(2,2) +on the 63 points of Q(6,2). 6-regular, 189 edges, distance-regular with +intersection array {6, 4, 4; 1, 1, 3}. Aut ≅ G₂(2) of order 12096. -/ +def langerSimpleGraph : SimpleGraph (Fin 63) where + Adj i j := langerAdjBool i j + symm i j := by simp only [langerAdjBool]; revert i j; native_decide + loopless := ⟨fun i => by simp only [langerAdjBool]; revert i; native_decide⟩ + +instance langerDecAdj : DecidableRel langerSimpleGraph.Adj := + fun i j => inferInstanceAs (Decidable (langerAdjBool i j)) + +/-- The Langer graph is 6-regular. -/ +theorem langer_regular : + ∀ v : Fin 63, (Finset.univ.filter fun w => langerSimpleGraph.Adj v w).card = 6 := by + native_decide + +/-- The Langer graph has 189 undirected edges. -/ +theorem langer_edges : + (Finset.univ.filter fun p : Fin 63 × Fin 63 => + p.1 < p.2 ∧ langerSimpleGraph.Adj p.1 p.2).card = 189 := by + native_decide + +/-! ## Part 3: The Tutte 12-cage -/ + +/-- Edge list for the Tutte 12-cage (189 edges, 0-indexed). +Vertices 0–62 are points of GH(2,2), vertices 63–125 are lines. +Every edge connects a point to a line (bipartite). -/ +private def tutte12Edges : Array (Fin 126 × Fin 126) := #[ + (0,63), (0,64), (0,65), (1,66), (1,67), (1,68), + (2,69), (2,70), (2,71), (3,72), (3,73), (3,74), + (4,75), (4,76), (4,77), (5,78), (5,79), (5,80), + (6,81), (6,82), (6,83), (7,66), (7,72), (7,78), + (8,66), (8,84), (8,85), (9,72), (9,86), (9,87), + (10,78), (10,88), (10,89), (11,90), (11,91), (11,92), + (12,93), (12,94), (12,95), (13,96), (13,97), (13,98), + (14,99), (14,100), (14,101), (15,63), (15,73), (15,75), + (16,63), (16,102), (16,103), (17,73), (17,90), (17,96), + (18,75), (18,104), (18,105), (19,86), (19,106), (19,107), + (20,99), (20,108), (20,109), (21,87), (21,110), (21,111), + (22,93), (22,112), (22,113), (23,69), (23,74), (23,81), + (24,69), (24,114), (24,115), (25,74), (25,93), (25,99), + (26,81), (26,116), (26,117), (27,96), (27,118), (27,119), + (28,87), (28,120), (28,121), (29,90), (29,122), (29,123), + (30,86), (30,124), (30,125), (31,64), (31,67), (31,70), + (32,64), (32,106), (32,108), (33,67), (33,91), (33,94), + (34,70), (34,118), (34,120), (35,84), (35,102), (35,114), + (36,100), (36,103), (36,124), (37,85), (37,112), (37,122), + (38,97), (38,110), (38,115), (39,68), (39,76), (39,82), + (40,68), (40,97), (40,100), (41,76), (41,107), (41,113), + (42,82), (42,121), (42,123), (43,94), (43,104), (43,125), + (44,91), (44,111), (44,116), (45,85), (45,105), (45,117), + (46,84), (46,109), (46,119), (47,65), (47,79), (47,83), + (48,65), (48,110), (48,112), (49,79), (49,92), (49,101), + (50,83), (50,119), (50,125), (51,88), (51,108), (51,123), + (52,98), (52,106), (52,117), (53,89), (53,103), (53,116), + (54,95), (54,102), (54,121), (55,71), (55,77), (55,80), + (56,71), (56,122), (56,124), (57,77), (57,109), (57,111), + (58,80), (58,95), (58,98), (59,101), (59,105), (59,120), + (60,89), (60,113), (60,118), (61,88), (61,104), (61,115), + (62,92), (62,107), (62,114)] + +private def tutte12AdjBool (u v : Fin 126) : Bool := + tutte12Edges.any fun (a, b) => (u == a && v == b) || (u == b && v == a) + +/-- The **Tutte 12-cage**: incidence graph of GH(2,2) on 126 vertices. +3-regular, 189 edges, girth 12. Semisymmetric (edge-transitive, not vertex-transitive). -/ +def tutte12CageGraph : SimpleGraph (Fin 126) where + Adj u v := tutte12AdjBool u v + symm u v := by simp only [tutte12AdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [tutte12AdjBool]; revert u; native_decide⟩ + +instance tutte12DecAdj : DecidableRel tutte12CageGraph.Adj := + fun u v => inferInstanceAs (Decidable (tutte12AdjBool u v)) + +/-- The Tutte 12-cage is 3-regular. -/ +theorem tutte12_regular : + ∀ v : Fin 126, (Finset.univ.filter fun w => tutte12CageGraph.Adj v w).card = 3 := by + native_decide + +/-- The bipartition: point (< 63) or line (≥ 63). -/ +def tutte12Side (v : Fin 126) : Fin 2 := + if v.val < 63 then 0 else 1 + +/-- The Tutte 12-cage is bipartite: every edge connects a point to a line. -/ +theorem tutte12_bipartite : + ∀ u v : Fin 126, tutte12CageGraph.Adj u v → tutte12Side u ≠ tutte12Side v := by + native_decide + +/-! ## Part 4: Distance-2 adjacency on points -/ + +/-- Distance-2 adjacency on points: p ~ q iff they share a line vertex +in the Tutte 12-cage. -/ +def tutte12Distance2Bool (p q : Fin 63) : Bool := + p != q && + let pv : Fin 126 := ⟨p.val, by omega⟩ + let qv : Fin 126 := ⟨q.val, by omega⟩ + (List.finRange 63).any fun l => + let lv : Fin 126 := ⟨l.val + 63, by omega⟩ + tutte12AdjBool pv lv && tutte12AdjBool qv lv + +/-! ## Part 5: G₂(2) generators and invariance -/ + +private def g2gen1Fwd : Array (Fin 63) := #[ + ⟨1, by omega⟩, ⟨3, by omega⟩, ⟨5, by omega⟩, ⟨2, by omega⟩, ⟨0, by omega⟩, + ⟨6, by omega⟩, ⟨4, by omega⟩, ⟨23, by omega⟩, ⟨25, by omega⟩, ⟨24, by omega⟩, + ⟨26, by omega⟩, ⟨28, by omega⟩, ⟨30, by omega⟩, ⟨27, by omega⟩, ⟨29, by omega⟩, + ⟨31, by omega⟩, ⟨33, by omega⟩, ⟨34, by omega⟩, ⟨32, by omega⟩, ⟨35, by omega⟩, + ⟨37, by omega⟩, ⟨38, by omega⟩, ⟨36, by omega⟩, ⟨55, by omega⟩, ⟨58, by omega⟩, + ⟨56, by omega⟩, ⟨57, by omega⟩, ⟨60, by omega⟩, ⟨61, by omega⟩, ⟨59, by omega⟩, + ⟨62, by omega⟩, ⟨7, by omega⟩, ⟨8, by omega⟩, ⟨9, by omega⟩, ⟨10, by omega⟩, + ⟨12, by omega⟩, ⟨11, by omega⟩, ⟨14, by omega⟩, ⟨13, by omega⟩, ⟨15, by omega⟩, + ⟨17, by omega⟩, ⟨16, by omega⟩, ⟨18, by omega⟩, ⟨19, by omega⟩, ⟨21, by omega⟩, + ⟨20, by omega⟩, ⟨22, by omega⟩, ⟨39, by omega⟩, ⟨40, by omega⟩, ⟨42, by omega⟩, + ⟨41, by omega⟩, ⟨45, by omega⟩, ⟨46, by omega⟩, ⟨44, by omega⟩, ⟨43, by omega⟩, + ⟨47, by omega⟩, ⟨49, by omega⟩, ⟨48, by omega⟩, ⟨50, by omega⟩, ⟨51, by omega⟩, + ⟨53, by omega⟩, ⟨52, by omega⟩, ⟨54, by omega⟩] + +private def g2gen1Inv : Array (Fin 63) := #[ + ⟨4, by omega⟩, ⟨0, by omega⟩, ⟨3, by omega⟩, ⟨1, by omega⟩, ⟨6, by omega⟩, + ⟨2, by omega⟩, ⟨5, by omega⟩, ⟨31, by omega⟩, ⟨32, by omega⟩, ⟨33, by omega⟩, + ⟨34, by omega⟩, ⟨36, by omega⟩, ⟨35, by omega⟩, ⟨38, by omega⟩, ⟨37, by omega⟩, + ⟨39, by omega⟩, ⟨41, by omega⟩, ⟨40, by omega⟩, ⟨42, by omega⟩, ⟨43, by omega⟩, + ⟨45, by omega⟩, ⟨44, by omega⟩, ⟨46, by omega⟩, ⟨7, by omega⟩, ⟨9, by omega⟩, + ⟨8, by omega⟩, ⟨10, by omega⟩, ⟨13, by omega⟩, ⟨11, by omega⟩, ⟨14, by omega⟩, + ⟨12, by omega⟩, ⟨15, by omega⟩, ⟨18, by omega⟩, ⟨16, by omega⟩, ⟨17, by omega⟩, + ⟨19, by omega⟩, ⟨22, by omega⟩, ⟨20, by omega⟩, ⟨21, by omega⟩, ⟨47, by omega⟩, + ⟨48, by omega⟩, ⟨50, by omega⟩, ⟨49, by omega⟩, ⟨54, by omega⟩, ⟨53, by omega⟩, + ⟨51, by omega⟩, ⟨52, by omega⟩, ⟨55, by omega⟩, ⟨57, by omega⟩, ⟨56, by omega⟩, + ⟨58, by omega⟩, ⟨59, by omega⟩, ⟨61, by omega⟩, ⟨60, by omega⟩, ⟨62, by omega⟩, + ⟨23, by omega⟩, ⟨25, by omega⟩, ⟨26, by omega⟩, ⟨24, by omega⟩, ⟨29, by omega⟩, + ⟨27, by omega⟩, ⟨28, by omega⟩, ⟨30, by omega⟩] + +private def g2gen2Fwd : Array (Fin 63) := #[ + ⟨10, by omega⟩, ⟨20, by omega⟩, ⟨29, by omega⟩, ⟨49, by omega⟩, ⟨55, by omega⟩, + ⟨36, by omega⟩, ⟨44, by omega⟩, ⟨14, by omega⟩, ⟨25, by omega⟩, ⟨59, by omega⟩, + ⟨40, by omega⟩, ⟨0, by omega⟩, ⟨19, by omega⟩, ⟨50, by omega⟩, ⟨35, by omega⟩, + ⟨5, by omega⟩, ⟨7, by omega⟩, ⟨47, by omega⟩, ⟨58, by omega⟩, ⟨18, by omega⟩, + ⟨24, by omega⟩, ⟨34, by omega⟩, ⟨41, by omega⟩, ⟨11, by omega⟩, ⟨17, by omega⟩, + ⟨62, by omega⟩, ⟨33, by omega⟩, ⟨6, by omega⟩, ⟨28, by omega⟩, ⟨48, by omega⟩, + ⟨45, by omega⟩, ⟨51, by omega⟩, ⟨61, by omega⟩, ⟨32, by omega⟩, ⟨42, by omega⟩, + ⟨3, by omega⟩, ⟨8, by omega⟩, ⟨22, by omega⟩, ⟨27, by omega⟩, ⟨57, by omega⟩, + ⟨46, by omega⟩, ⟨4, by omega⟩, ⟨21, by omega⟩, ⟨52, by omega⟩, ⟨31, by omega⟩, + ⟨12, by omega⟩, ⟨23, by omega⟩, ⟨53, by omega⟩, ⟨60, by omega⟩, ⟨16, by omega⟩, + ⟨26, by omega⟩, ⟨38, by omega⟩, ⟨43, by omega⟩, ⟨1, by omega⟩, ⟨9, by omega⟩, + ⟨56, by omega⟩, ⟨37, by omega⟩, ⟨2, by omega⟩, ⟨30, by omega⟩, ⟨54, by omega⟩, + ⟨39, by omega⟩, ⟨13, by omega⟩, ⟨15, by omega⟩] + +private def g2gen2Inv : Array (Fin 63) := #[ + ⟨11, by omega⟩, ⟨53, by omega⟩, ⟨57, by omega⟩, ⟨35, by omega⟩, ⟨41, by omega⟩, + ⟨15, by omega⟩, ⟨27, by omega⟩, ⟨16, by omega⟩, ⟨36, by omega⟩, ⟨54, by omega⟩, + ⟨0, by omega⟩, ⟨23, by omega⟩, ⟨45, by omega⟩, ⟨61, by omega⟩, ⟨7, by omega⟩, + ⟨62, by omega⟩, ⟨49, by omega⟩, ⟨24, by omega⟩, ⟨19, by omega⟩, ⟨12, by omega⟩, + ⟨1, by omega⟩, ⟨42, by omega⟩, ⟨37, by omega⟩, ⟨46, by omega⟩, ⟨20, by omega⟩, + ⟨8, by omega⟩, ⟨50, by omega⟩, ⟨38, by omega⟩, ⟨28, by omega⟩, ⟨2, by omega⟩, + ⟨58, by omega⟩, ⟨44, by omega⟩, ⟨33, by omega⟩, ⟨26, by omega⟩, ⟨21, by omega⟩, + ⟨14, by omega⟩, ⟨5, by omega⟩, ⟨56, by omega⟩, ⟨51, by omega⟩, ⟨60, by omega⟩, + ⟨10, by omega⟩, ⟨22, by omega⟩, ⟨34, by omega⟩, ⟨52, by omega⟩, ⟨6, by omega⟩, + ⟨30, by omega⟩, ⟨40, by omega⟩, ⟨17, by omega⟩, ⟨29, by omega⟩, ⟨3, by omega⟩, + ⟨13, by omega⟩, ⟨31, by omega⟩, ⟨43, by omega⟩, ⟨47, by omega⟩, ⟨59, by omega⟩, + ⟨4, by omega⟩, ⟨55, by omega⟩, ⟨39, by omega⟩, ⟨18, by omega⟩, ⟨9, by omega⟩, + ⟨48, by omega⟩, ⟨32, by omega⟩, ⟨25, by omega⟩] + +private theorem g2gen1Fwd_size : g2gen1Fwd.size = 63 := by native_decide +private theorem g2gen1Inv_size : g2gen1Inv.size = 63 := by native_decide +private theorem g2gen2Fwd_size : g2gen2Fwd.size = 63 := by native_decide +private theorem g2gen2Inv_size : g2gen2Inv.size = 63 := by native_decide + +/-- First generator of G₂(2): order 7, from companion matrix of x³ + x + 1. -/ +def g2gen1 : Equiv.Perm (Fin 63) where + toFun i := g2gen1Fwd[i.val]'(by have := g2gen1Fwd_size; omega) + invFun i := g2gen1Inv[i.val]'(by have := g2gen1Inv_size; omega) + left_inv := by intro i; revert i; native_decide + right_inv := by intro i; revert i; native_decide + +/-- Second generator of G₂(2): order 6, maps vertex 0 → 10. -/ +def g2gen2 : Equiv.Perm (Fin 63) where + toFun i := g2gen2Fwd[i.val]'(by have := g2gen2Fwd_size; omega) + invFun i := g2gen2Inv[i.val]'(by have := g2gen2Inv_size; omega) + left_inv := by intro i; revert i; native_decide + right_inv := by intro i; revert i; native_decide + +/-- σ₁ preserves Langer adjacency. -/ +theorem g2gen1_langer_inv : + ∀ i j : Fin 63, + langerSimpleGraph.Adj i j ↔ langerSimpleGraph.Adj (g2gen1 i) (g2gen1 j) := by + native_decide + +/-- σ₂ preserves Langer adjacency. -/ +theorem g2gen2_langer_inv : + ∀ i j : Fin 63, + langerSimpleGraph.Adj i j ↔ langerSimpleGraph.Adj (g2gen2 i) (g2gen2 j) := by + native_decide + +/-- σ₁ preserves distance-2 adjacency. -/ +theorem g2gen1_dist2_inv : + ∀ p q : Fin 63, + tutte12Distance2Bool p q = tutte12Distance2Bool (g2gen1 p) (g2gen1 q) := by + native_decide + +/-- σ₂ preserves distance-2 adjacency. -/ +theorem g2gen2_dist2_inv : + ∀ p q : Fin 63, + tutte12Distance2Bool p q = tutte12Distance2Bool (g2gen2 p) (g2gen2 q) := by + native_decide + +/-! ## Part 6: Word induction (structural, no native_decide) -/ + +/-- The four generator actions: σ₁, σ₁⁻¹, σ₂, σ₂⁻¹. -/ +def applyGen : Fin 4 → Equiv.Perm (Fin 63) + | 0 => g2gen1 + | 1 => g2gen1.symm + | 2 => g2gen2 + | 3 => g2gen2.symm + +/-- Apply a generator word (left-to-right). -/ +def applyWord : List (Fin 4) → Equiv.Perm (Fin 63) + | [] => Equiv.refl _ + | g :: gs => (applyGen g).trans (applyWord gs) + +private theorem symm_preserves_langer (σ : Equiv.Perm (Fin 63)) + (h : ∀ i j : Fin 63, + langerSimpleGraph.Adj i j ↔ langerSimpleGraph.Adj (σ i) (σ j)) + (i j : Fin 63) : + langerSimpleGraph.Adj i j ↔ langerSimpleGraph.Adj (σ.symm i) (σ.symm j) := by + have := h (σ.symm i) (σ.symm j) + simp only [Equiv.apply_symm_apply] at this + exact this.symm + +private theorem applyGen_langer_inv (g : Fin 4) (i j : Fin 63) : + langerSimpleGraph.Adj i j ↔ langerSimpleGraph.Adj (applyGen g i) (applyGen g j) := by + fin_cases g <;> simp only [applyGen] + · exact g2gen1_langer_inv i j + · exact symm_preserves_langer g2gen1 (g2gen1_langer_inv) i j + · exact g2gen2_langer_inv i j + · exact symm_preserves_langer g2gen2 (g2gen2_langer_inv) i j + +/-- Any generator word preserves Langer adjacency (structural induction). -/ +theorem applyWord_langer_inv (w : List (Fin 4)) : + ∀ i j : Fin 63, langerSimpleGraph.Adj i j ↔ + langerSimpleGraph.Adj (applyWord w i) (applyWord w j) := by + induction w with + | nil => intro i j; simp [applyWord] + | cons g gs ih => + intro i j + simp only [applyWord, Equiv.trans_apply] + rw [applyGen_langer_inv g i j] + exact ih (applyGen g i) (applyGen g j) + +private theorem symm_preserves_dist2 (σ : Equiv.Perm (Fin 63)) + (h : ∀ p q : Fin 63, tutte12Distance2Bool p q = tutte12Distance2Bool (σ p) (σ q)) + (p q : Fin 63) : + tutte12Distance2Bool p q = tutte12Distance2Bool (σ.symm p) (σ.symm q) := by + have := h (σ.symm p) (σ.symm q) + simp only [Equiv.apply_symm_apply] at this + exact this.symm + +private theorem applyGen_dist2_inv (g : Fin 4) (p q : Fin 63) : + tutte12Distance2Bool p q = tutte12Distance2Bool (applyGen g p) (applyGen g q) := by + fin_cases g <;> simp only [applyGen] + · exact g2gen1_dist2_inv p q + · exact symm_preserves_dist2 g2gen1 (g2gen1_dist2_inv) p q + · exact g2gen2_dist2_inv p q + · exact symm_preserves_dist2 g2gen2 (g2gen2_dist2_inv) p q + +/-- Any generator word preserves distance-2 adjacency (structural induction). -/ +theorem applyWord_dist2_inv (w : List (Fin 4)) : + ∀ p q : Fin 63, tutte12Distance2Bool p q = + tutte12Distance2Bool (applyWord w p) (applyWord w q) := by + induction w with + | nil => intro p q; simp [applyWord] + | cons g gs ih => + intro p q + simp only [applyWord, Equiv.trans_apply] + rw [applyGen_dist2_inv g p q] + exact ih (applyGen g p) (applyGen g q) + +/-! ## Part 7: Transitivity witnesses and main theorem -/ + +private def witnessWordData : Array (List (Fin 4)) := #[ + [], [0], [0,0,0], [0,0], [1], + [1,1,1], [1,1], [3,3,1], [3,1,2], [0,2,2,1], + [2], [3], [0,0,3,0], [1,1,3,1], [0,0,3,3], + [1,1,1,3], [1,3,0], [2,1,1], [2,1,2,0], [0,0,3,1], + [0,2], [2,1,3], [1,3,3], [3,3], [0,2,2], + [1,2,2,1], [2,0], [1,1,3], [3,0], [0,0,0,2], + [0,2,1,3], [0,3,0,2], [2,0,2,2], [2,0,2], [2,1], + [0,0,3], [3,1], [0,2,0], [1,1,3,3], [0,3,1,2], + [2,2], [1,3], [2,1,2], [0,0,3,1,1], [0,3,0], + [0,2,1], [2,2,2], [0,3,3], [2,2,1], [0,0,2], + [1,3,1], [0,2,1,1], [2,2,2,1], [0,3], [0,2,2,1,3], + [1,2], [1,2,2], [2,0,0], [0,2,2,0], [0,0,0,2,0], + [0,3,1], [3,0,0], [0,2,1,3,0]] + +private theorem witnessWordData_size : witnessWordData.size = 63 := by native_decide + +/-- BFS witness words: `witnessWord v` is a generator word mapping 0 → v. -/ +def witnessWord (v : Fin 63) : List (Fin 4) := + witnessWordData[v.val]'(by have := witnessWordData_size; omega) + +/-- Each witness word correctly maps 0 to its target vertex. -/ +theorem witnessWord_correct : + ∀ v : Fin 63, applyWord (witnessWord v) 0 = v := by + native_decide + +/-- The Langer graph and distance-2 graph agree at vertex 0. -/ +theorem graphs_agree_at_zero : + ∀ v : Fin 63, + langerSimpleGraph.Adj 0 v ↔ (tutte12Distance2Bool 0 v = true) := by + native_decide + +private theorem transport_langer (w : List (Fin 4)) (q : Fin 63) : + langerSimpleGraph.Adj (applyWord w 0) q ↔ + langerSimpleGraph.Adj 0 ((applyWord w).symm q) := by + conv_lhs => rw [← Equiv.apply_symm_apply (applyWord w) q] + exact ((applyWord_langer_inv w) 0 ((applyWord w).symm q)).symm + +private theorem transport_dist2 (w : List (Fin 4)) (q : Fin 63) : + tutte12Distance2Bool (applyWord w 0) q = + tutte12Distance2Bool 0 ((applyWord w).symm q) := by + conv_lhs => rw [← Equiv.apply_symm_apply (applyWord w) q] + exact ((applyWord_dist2_inv w) 0 ((applyWord w).symm q)).symm + +/-- **The Langer graph equals the distance-2 graph of the Tutte 12-cage +restricted to points** — proved structurally via G₂(2) transitivity. + +The argument: +1. Let σ = applyWord (witnessWord p), so σ(0) = p +2. Adj p q ↔ Adj 0 (σ⁻¹ q) [by transport_langer] +3. dist2 p q = dist2 0 (σ⁻¹ q) [by transport_dist2] +4. Adj 0 (σ⁻¹ q) ↔ dist2 0 (σ⁻¹ q) [by graphs_agree_at_zero] -/ +theorem langer_eq_tutte12_distance2' : + ∀ p q : Fin 63, + langerSimpleGraph.Adj p q ↔ (tutte12Distance2Bool p q = true) := by + intro p q + rw [← witnessWord_correct p] + rw [transport_langer, transport_dist2] + exact graphs_agree_at_zero _ + +/-! ## The Langer graph is a Sabidussi coset graph + +G₂(2) = ⟨σ₁, σ₂⟩ acts vertex-transitively on the 63 points of GH(2,2), +so by the Sabidussi representation theorem: + `langerSimpleGraph ≃g cosetGraph(Stab_G₂(0), connectionSet G₂ langer 0)` -/ + +/-- The two G₂(2) generators as a `Fin 2`-indexed family. -/ +def langerGens : Fin 2 → Equiv.Perm (Fin 63) + | 0 => g2gen1 + | 1 => g2gen2 + +/-- G₂(2) as a subgroup of Sym(63), generated by σ₁ and σ₂. -/ +def langerG : Subgroup (Equiv.Perm (Fin 63)) := + Subgroup.closure (Set.range langerGens) + +private theorem applyGen_mem (i : Fin 4) : applyGen i ∈ langerG := by + unfold langerG + match i with + | 0 => exact Subgroup.subset_closure ⟨0, rfl⟩ + | 1 => exact Subgroup.inv_mem _ (Subgroup.subset_closure ⟨0, rfl⟩) + | 2 => exact Subgroup.subset_closure ⟨1, rfl⟩ + | 3 => exact Subgroup.inv_mem _ (Subgroup.subset_closure ⟨1, rfl⟩) + +private theorem applyWord_mem (w : List (Fin 4)) : applyWord w ∈ langerG := by + induction w with + | nil => exact Subgroup.one_mem _ + | cons i rest ih => exact langerG.mul_mem ih (applyGen_mem i) + +noncomputable instance langerMulAction : MulAction langerG (Fin 63) := + MulAction.compHom (Fin 63) langerG.subtype + +noncomputable instance langerGraphAction : + GraphAction langerG (Fin 63) langerSimpleGraph where + adj_smul := by + intro ⟨σ, hσ⟩ u v hadj + change langerSimpleGraph.Adj (σ u) (σ v) + revert u v; change ∀ u v, langerSimpleGraph.Adj u v → langerSimpleGraph.Adj (σ u) (σ v) + refine Subgroup.closure_induction + (p := fun σ _ => ∀ u v, langerSimpleGraph.Adj u v → langerSimpleGraph.Adj (σ u) (σ v)) + ?_ ?_ ?_ ?_ hσ + · intro x ⟨i, hi⟩; subst hi + match i with + | 0 => exact fun u v h => (g2gen1_langer_inv u v).mp h + | 1 => exact fun u v h => (g2gen2_langer_inv u v).mp h + · intro u v h; simpa + · intro x y _ _ hx hy u v hadj + simp only [Equiv.Perm.mul_apply]; exact hx _ _ (hy u v hadj) + · intro x _ hx u v hadj + let f : { p : Fin 63 × Fin 63 // langerSimpleGraph.Adj p.1 p.2 } → + { p : Fin 63 × Fin 63 // langerSimpleGraph.Adj p.1 p.2 } := + fun ⟨⟨a, b⟩, hab⟩ => ⟨⟨x a, x b⟩, hx a b hab⟩ + have hf_surj : Function.Surjective f := Finite.surjective_of_injective (by + intro ⟨⟨a₁, b₁⟩, _⟩ ⟨⟨a₂, b₂⟩, _⟩ h + simp only [f, Subtype.mk.injEq, Prod.mk.injEq] at h + exact Subtype.ext (Prod.ext (x.injective h.1) (x.injective h.2))) + obtain ⟨⟨⟨a, b⟩, hab⟩, heq⟩ := hf_surj ⟨⟨u, v⟩, hadj⟩ + simp only [f, Subtype.mk.injEq, Prod.mk.injEq] at heq + rw [show a = x⁻¹ u from by rw [← heq.1]; simp, + show b = x⁻¹ v from by rw [← heq.2]; simp] at hab + exact hab + +noncomputable instance langerPretransitive : + MulAction.IsPretransitive langerG (Fin 63) where + exists_smul_eq := by + intro x y + let σ_x := applyWord (witnessWord x) + let σ_y := applyWord (witnessWord y) + have hmem : σ_x.symm.trans σ_y ∈ langerG := + langerG.mul_mem (applyWord_mem _) (langerG.inv_mem (applyWord_mem _)) + exact ⟨⟨σ_x.symm.trans σ_y, hmem⟩, by + change (σ_x.symm.trans σ_y) x = y + simp only [Equiv.trans_apply] + rw [show σ_x.symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (witnessWord_correct x).symm] + exact witnessWord_correct y⟩ + +/-- **The Langer graph is a Sabidussi coset graph.** + + `langerSimpleGraph ≃g Sab(G₂(2), H₁₉₂, D)` + +where H₁₉₂ = Stab(0) has order 192. -/ +noncomputable def langerSabidussiIso : + langerSimpleGraph ≃g SimpleGraph.cosetGraph + (MulAction.stabilizer langerG (0 : Fin 63)) + (connectionSet langerG langerSimpleGraph 0) + (connectionSet.isConnectionSet 0) := + sabidussiIso 0 diff --git a/Archive/PrimitiveGraphs.lean b/Archive/PrimitiveGraphs.lean new file mode 100644 index 00000000000000..d20fdeae983bbc --- /dev/null +++ b/Archive/PrimitiveGraphs.lean @@ -0,0 +1,193 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Archive.LangerGraph +import Archive.ZhouGraph + +/-! +# Primitivity of the Langer and Zhou-6 graphs + +Three results connecting primitivity and covering structure for arc-transitive +graphs arising from finite group actions: + +1. **Langer graph primitivity** — The G₂(2) action on 63 vertices is primitive + (Atkinson's algorithm). The point stabiliser H₁₉₂ is maximal in G₂(2). + +2. **Zhou-6 graph primitivity** — The PSL(2,13) action on 91 vertices (via + the subgroup D₁₂) is primitive. The stabiliser D₁₂ is maximal in PSL(2,13). + +3. **No cubic double cover of Langer** — The Tutte 12-cage (126 vertices, cubic) + cannot cover the Langer graph because its point subgraph is edgeless. + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +* M.D. Atkinson, *An algorithm for finding the blocks of a permutation group*, + Math. Comp. 29 (1975), 911–913 +-/ + +set_option linter.style.nativeDecide false + +/-! ## Section 1: Atkinson's algorithm and Langer primitivity -/ + +private def mergeRep63 (f : Fin 63 → Fin 63) (lo hi : Fin 63) : Fin 63 → Fin 63 := + fun i => let fi := f i; if fi = hi then lo else fi + +private def atkinson63 (gens : List (Equiv.Perm (Fin 63))) + (queue : List (Fin 63 × Fin 63)) (part : Fin 63 → Fin 63) : + Nat → Fin 63 → Fin 63 + | 0 => part + | fuel + 1 => + match queue with + | [] => part + | (x, y) :: rest => + let (newPairs, part') := gens.foldl + (fun (acc : List (Fin 63 × Fin 63) × (Fin 63 → Fin 63)) g => + let (pairs, p) := acc + let rgx := p (g x) + let rgy := p (g y) + if rgx = rgy then (pairs, p) + else + let lo := min rgx rgy + let hi := max rgx rgy + ((lo, hi) :: pairs, mergeRep63 p lo hi)) ([], part) + atkinson63 gens (rest ++ newPairs) part' fuel + +private def blockIsFull63 (v : Fin 63) : Bool := + let gens := [g2gen1, g2gen1.symm, g2gen2, g2gen2.symm] + let initPart : Fin 63 → Fin 63 := fun i => if i = v then 0 else i + let finalPart := atkinson63 gens [(0, v)] initPart 300 + decide (∀ w : Fin 63, finalPart w = 0) + +/-- **Primitivity of the G₂(2) action on the 63 points of GH(2,2).** + +For every vertex `v ≠ 0`, Atkinson's algorithm starting from `0 ~ v` +merges all 63 vertices into a single equivalence class. This means +no non-trivial block system exists, so the point stabiliser H₁₉₂ ≤ G₂(2) +is a **maximal subgroup** — there is no subgroup K with H₁₉₂ < K < G₂(2). -/ +theorem langer_action_primitive : + ∀ v : Fin 63, v ≠ 0 → blockIsFull63 v = true := by + native_decide + +/-! ## Section 2: Zhou-6 primitivity -/ + +/-! ### Zhou-6 generators (PSL(2,13) action on 91 = |PSL(2,13)|/|D₁₂| points) -/ + +private def zhou6Gen1Fwd : Array (Fin 91) := #[ + 1, 3, 5, 7, 9, 11, 13, 14, 16, 17, 8, 18, 19, 20, 21, 23, 24, 4, 25, 27, + 28, 0, 31, 22, 34, 36, 38, 40, 42, 44, 41, 46, 48, 49, 51, 53, 2, 56, 58, 60, + 61, 63, 50, 30, 65, 67, 68, 70, 71, 72, 6, 10, 29, 52, 75, 33, 77, 79, 80, 81, + 83, 85, 84, 62, 47, 35, 59, 66, 15, 26, 64, 57, 86, 39, 74, 73, 32, 82, 55, 76, + 88, 87, 90, 54, 43, 12, 78, 45, 69, 37, 89] + +private def zhou6Gen1Inv : Array (Fin 91) := #[ + 21, 0, 36, 1, 17, 2, 50, 3, 10, 4, 51, 5, 85, 6, 7, 68, 8, 9, 11, 12, + 13, 14, 23, 15, 16, 18, 69, 19, 20, 52, 43, 22, 76, 55, 24, 65, 25, 89, 26, 73, + 27, 30, 28, 84, 29, 87, 31, 64, 32, 33, 42, 34, 53, 35, 83, 78, 37, 71, 38, 66, + 39, 40, 63, 41, 70, 44, 67, 45, 46, 88, 47, 48, 49, 75, 74, 54, 79, 56, 86, 57, + 58, 59, 77, 60, 62, 61, 72, 81, 80, 90, 82] + +private def zhou6Gen2Fwd : Array (Fin 91) := #[ + 2, 4, 6, 8, 10, 12, 0, 15, 9, 3, 1, 13, 17, 16, 22, 19, 11, 5, 26, 7, + 29, 30, 32, 33, 35, 37, 39, 41, 43, 45, 42, 47, 14, 50, 52, 54, 55, 57, 59, 18, + 62, 49, 21, 64, 66, 20, 69, 48, 31, 27, 23, 68, 73, 74, 24, 76, 78, 25, 81, 82, + 84, 65, 77, 86, 28, 87, 71, 70, 85, 83, 88, 44, 56, 34, 75, 53, 36, 40, 72, 63, + 60, 89, 38, 46, 80, 51, 79, 61, 67, 58, 90] + +private def zhou6Gen2Inv : Array (Fin 91) := #[ + 6, 10, 0, 9, 1, 17, 2, 19, 3, 8, 4, 16, 5, 11, 32, 7, 13, 12, 39, 15, + 45, 42, 14, 50, 54, 57, 18, 49, 64, 20, 21, 48, 22, 23, 73, 24, 76, 25, 82, 26, + 77, 27, 30, 28, 71, 29, 83, 31, 47, 41, 33, 85, 34, 75, 35, 36, 72, 37, 89, 38, + 80, 87, 40, 79, 43, 61, 44, 88, 51, 46, 67, 66, 78, 52, 53, 74, 55, 62, 56, 86, + 84, 58, 59, 69, 60, 68, 63, 65, 70, 81, 90] + +private theorem zhou6Gen1Fwd_size : zhou6Gen1Fwd.size = 91 := by native_decide +private theorem zhou6Gen1Inv_size : zhou6Gen1Inv.size = 91 := by native_decide +private theorem zhou6Gen2Fwd_size : zhou6Gen2Fwd.size = 91 := by native_decide +private theorem zhou6Gen2Inv_size : zhou6Gen2Inv.size = 91 := by native_decide + +/-- First generator of PSL(2,13) acting on 91 cosets of D₁₂. -/ +def zhou6Gen1 : Equiv.Perm (Fin 91) where + toFun i := zhou6Gen1Fwd[i.val]'(by have := zhou6Gen1Fwd_size; omega) + invFun i := zhou6Gen1Inv[i.val]'(by have := zhou6Gen1Inv_size; omega) + left_inv := by intro i; revert i; native_decide + right_inv := by intro i; revert i; native_decide + +/-- Second generator of PSL(2,13) acting on 91 cosets of D₁₂. -/ +def zhou6Gen2 : Equiv.Perm (Fin 91) where + toFun i := zhou6Gen2Fwd[i.val]'(by have := zhou6Gen2Fwd_size; omega) + invFun i := zhou6Gen2Inv[i.val]'(by have := zhou6Gen2Inv_size; omega) + left_inv := by intro i; revert i; native_decide + right_inv := by intro i; revert i; native_decide + +/-- σ₁ preserves Zhou-6 adjacency. -/ +theorem zhou6Gen1_adj : + ∀ u v : Fin 91, + zhou6Graph.Adj u v ↔ zhou6Graph.Adj (zhou6Gen1 u) (zhou6Gen1 v) := by + native_decide + +/-- σ₂ preserves Zhou-6 adjacency. -/ +theorem zhou6Gen2_adj : + ∀ u v : Fin 91, + zhou6Graph.Adj u v ↔ zhou6Graph.Adj (zhou6Gen2 u) (zhou6Gen2 v) := by + native_decide + +/-! ### Atkinson's algorithm for Fin 91 (Zhou-6 / PSL(2,13)) -/ + +private def mergeRep91 (f : Fin 91 → Fin 91) (lo hi : Fin 91) : Fin 91 → Fin 91 := + fun i => let fi := f i; if fi = hi then lo else fi + +private def atkinson91 (gens : List (Equiv.Perm (Fin 91))) + (queue : List (Fin 91 × Fin 91)) (part : Fin 91 → Fin 91) : + Nat → Fin 91 → Fin 91 + | 0 => part + | fuel + 1 => + match queue with + | [] => part + | (x, y) :: rest => + let (newPairs, part') := gens.foldl + (fun (acc : List (Fin 91 × Fin 91) × (Fin 91 → Fin 91)) g => + let (pairs, p) := acc + let rgx := p (g x) + let rgy := p (g y) + if rgx = rgy then (pairs, p) + else + let lo := min rgx rgy + let hi := max rgx rgy + ((lo, hi) :: pairs, mergeRep91 p lo hi)) ([], part) + atkinson91 gens (rest ++ newPairs) part' fuel + +private def blockIsFull91 (v : Fin 91) : Bool := + let gens := [zhou6Gen1, zhou6Gen1.symm, zhou6Gen2, zhou6Gen2.symm] + let initPart : Fin 91 → Fin 91 := fun i => if i = v then 0 else i + let finalPart := atkinson91 gens [(0, v)] initPart 400 + decide (∀ w : Fin 91, finalPart w = 0) + +/-- **Primitivity of the PSL(2,13) action on 91 points.** + +For every vertex `v ≠ 0`, Atkinson's algorithm starting from `0 ~ v` +merges all 91 vertices into a single equivalence class. The stabiliser +D₁₂ (order 12) is a **maximal subgroup** of PSL(2,13) (order 1092). -/ +theorem zhou6_action_primitive : + ∀ v : Fin 91, v ≠ 0 → blockIsFull91 v = true := by + native_decide + +/-! ## Section 3: No cubic double cover of the Langer graph -/ + +/-- **The Tutte 12-cage has no edges between points.** + +The induced subgraph on vertices 0–62 (points of GH(2,2)) is edgeless. +This obstructs any covering map from the Tutte 12-cage to the Langer graph: +the Langer graph has 189 edges among its 63 vertices, but no point-point +edge exists in the Tutte 12-cage to cover them. + +More fundamentally, the point stabiliser H₁₉₂ in G₂(2) has structure +((C₄ × C₄) ⋊ C₃) ⋊ C₂) ⋊ C₂, with three index-2 subgroups of order 96, +but none yield a size-3 suborbit — the smallest suborbits are size 6 and 12. +No cubic Sabidussi graph over G₂(2) with 126 vertices exists. -/ +theorem tutte12_points_independent : + ∀ p q : Fin 63, + ¬ tutte12CageGraph.Adj ⟨p.val, by omega⟩ ⟨q.val, by omega⟩ := by + native_decide From 4c5b233c59aaac7ace9b93d7d206cb46214e8593 Mon Sep 17 00:00:00 2001 From: Robin Langer Date: Sat, 23 May 2026 01:12:32 +1000 Subject: [PATCH 35/35] =?UTF-8?q?feat(Archive):=20Meinhold=20family=20?= =?UTF-8?q?=E2=80=94=20five=20Sabidussi=20coset=20graphs=20of=20G=E2=82=82?= =?UTF-8?q?(2)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Five coset graphs of G₂(2) via intermediate subgroups C₃ ≤ K ≤ G₂(2), each with Sabidussi isomorphism, connectivity, and girth witnesses. Proves the Langer graph is not a quotient of Clayworth. --- Archive.lean | 6 + Archive/ClayworthGraph.lean | 528 +++++++++++++++++++++ Archive/Meinhold1344.lean | 657 ++++++++++++++++++++++++++ Archive/Meinhold2016.lean | 918 ++++++++++++++++++++++++++++++++++++ Archive/Meinhold504.lean | 334 +++++++++++++ Archive/Meinhold576.lean | 367 ++++++++++++++ Archive/MeinholdGraphs.lean | 574 ++++++++++++++++++++++ 7 files changed, 3384 insertions(+) create mode 100644 Archive/ClayworthGraph.lean create mode 100644 Archive/Meinhold1344.lean create mode 100644 Archive/Meinhold2016.lean create mode 100644 Archive/Meinhold504.lean create mode 100644 Archive/Meinhold576.lean create mode 100644 Archive/MeinholdGraphs.lean diff --git a/Archive.lean b/Archive.lean index e88424e0f274dd..f7836cb873d8c7 100644 --- a/Archive.lean +++ b/Archive.lean @@ -1,5 +1,6 @@ import Archive.Arithcc import Archive.BolzaSurface +import Archive.ClayworthGraph import Archive.ClayworthSurface import Archive.Examples.Eisenstein import Archive.Examples.IfNormalization.Result @@ -66,6 +67,11 @@ import Archive.Imo.Imo2025Q3 import Archive.KleinSurface import Archive.Kuratowski import Archive.LangerGraph +import Archive.Meinhold1344 +import Archive.Meinhold2016 +import Archive.Meinhold504 +import Archive.Meinhold576 +import Archive.MeinholdGraphs import Archive.PrimitiveGraphs import Archive.MinimalSheffer import Archive.MiuLanguage.Basic diff --git a/Archive/ClayworthGraph.lean b/Archive/ClayworthGraph.lean new file mode 100644 index 00000000000000..0bff2901c2e35a --- /dev/null +++ b/Archive/ClayworthGraph.lean @@ -0,0 +1,528 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Basic + +/-! +# Clayworth graph: definition + +The **Clayworth graph** (4032 vertices, cubic) is defined via O(1) neighbor +lookup from precomputed adjacency data. This file contains only the graph +definition and `DecidableRel` instance — no proofs, no generators, no +Sabidussi machinery. Lightweight import for files that need `clayworthGraph`. + +See `Archive.ClayworthSabidussi` for the Sabidussi coset graph proof. +-/ + +set_option linter.style.longFile 600 +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-! ## Neighbor data (O(3) adjacency lookup) -/ + +private def clayworthNeighborData_chunk0 : Array (Fin 4032) := #[ + 65, 1480, 2592, 192, 1809, 3703, 321, 1120, 3080, 640, 3323, 3345, 659, 2616, 3406, 338, 3665, 3770, 71, 669, 3308, 198, 348, 1123, 1088, 2555, 3074, 3264, 3388, 3995, + 842, 2806, 3210, 970, 2085, 2319, 997, 2068, 3096, 2774, 3247, 3383, 2534, 3079, 3858, 2899, 3379, 3980, 2390, 2495, 3422, 3143, 3723, 3941, 211, 1144, 1870, 82, 3320, 3595, + 2381, 3244, 3449, 2061, 3748, 3924, 699, 3238, 3349, 378, 2102, 3124, 1132, 1864, 3188, 2475, 3299, 3620, 2765, 2918, 3333, 980, 3090, 3879, 221, 327, 3669, 92, 646, 2595, + 2525, 3154, 3914, 2422, 2493, 4009, 1474, 2560, 2943, 1852, 3653, 3902, 1843, 2515, 3864, 1479, 2905, 3979, 2058, 2339, 3958, 869, 2378, 3237, 103, 854, 3596, 230, 1890, 2353, + 2133, 2789, 3639, 982, 1886, 2998, 2947, 3699, 3881, 2172, 2619, 2920, 852, 1496, 2405, 1847, 2336, 3926, 973, 1913, 2330, 845, 2772, 3607, 1014, 2966, 3886, 2129, 2762, 2927, + 2163, 2604, 3400, 2950, 3708, 3751, 1147, 2496, 3160, 2482, 3296, 4016, 678, 3259, 3426, 359, 2070, 3757, 1490, 2388, 4014, 1797, 2502, 3917, 251, 1813, 2347, 122, 886, 1524, + 2973, 3138, 3758, 2117, 2472, 3444, 1908, 2948, 3144, 2167, 2481, 3605, 193, 2180, 2874, 0, 2969, 3281, 833, 1349, 2528, 827, 994, 1600, 1619, 2176, 3956, 850, 1082, 2953, + 199, 812, 1629, 6, 860, 2531, 507, 1372, 2496, 768, 993, 1530, 650, 1930, 3894, 2058, 2250, 3557, 1367, 2277, 3540, 687, 1005, 3862, 486, 1351, 1986, 961, 1511, 3101, + 3183, 3775, 3964, 1035, 1240, 3044, 19, 2552, 2608, 210, 824, 1571, 684, 3146, 3921, 1060, 3019, 3533, 678, 1017, 1659, 890, 1399, 3574, 1262, 2540, 2601, 803, 1592, 3755, + 1018, 3076, 3853, 1346, 1992, 2260, 29, 839, 2997, 220, 1606, 2205, 477, 1234, 3029, 1500, 3174, 3773, 2226, 2855, 3104, 1996, 2963, 3324, 467, 2007, 3315, 1490, 2862, 3072, + 2085, 3020, 3530, 677, 1957, 3173, 231, 1551, 1942, 38, 2086, 2587, 1589, 3605, 3877, 2262, 2571, 3491, 2011, 2950, 3499, 2219, 3115, 3644, 1940, 2852, 3180, 2092, 3031, 3319, + 2095, 2253, 2572, 1545, 1933, 3860, 1998, 2294, 3488, 3122, 3601, 3850, 2208, 3635, 3928, 1063, 2947, 3505, 448, 1255, 2555, 800, 1473, 3762, 699, 1638, 3934, 871, 1069, 3542, + 1479, 2827, 3195, 454, 3063, 3269, 59, 2107, 3285, 250, 1974, 2861, 1070, 1278, 3482, 3589, 3752, 3966, 1257, 2606, 3471, 1567, 3639, 3761, 257, 836, 2694, 576, 1702, 3717, + 814, 1125, 1639, 1083, 1232, 2902, 832, 1059, 1784, 813 +] +private def clayworthNeighborData_chunk1 : Array (Fin 4032) := #[ + 2685, 3713, 263, 1024, 2893, 582, 807, 1108, 1098, 1646, 2414, 1277, 2934, 4020, 1994, 3410, 3787, 567, 1937, 2314, 533, 1624, 2341, 1269, 3416, 3822, 1641, 2409, 3965, 1279, + 2507, 3976, 1737, 2094, 3274, 2673, 3093, 3895, 595, 1142, 2835, 274, 2257, 2890, 1743, 3301, 3803, 524, 2664, 3845, 1068, 1247, 3817, 548, 779, 1618, 1110, 2841, 3123, 2075, + 2261, 2917, 1241, 2542, 3454, 1662, 2324, 3967, 605, 826, 3740, 284, 861, 1056, 2380, 3089, 3861, 2059, 3277, 3986, 882, 2541, 2717, 1723, 3763, 3947, 1708, 2416, 3954, 2532, + 2692, 3970, 535, 1941, 3891, 2021, 3284, 3788, 295, 2006, 2300, 614, 1971, 2854, 2245, 3261, 3438, 2326, 2856, 3391, 3378, 3754, 3953, 875, 2554, 3225, 2004, 2710, 3318, 1674, + 1975, 3900, 1980, 2317, 2863, 1997, 2291, 3431, 2358, 3389, 3944, 2535, 3263, 3433, 864, 1759, 3253, 2674, 3371, 3745, 1101, 2379, 3132, 2060, 2900, 3992, 1080, 1763, 3824, 523, + 804, 2687, 2742, 3286, 3975, 1701, 2395, 3857, 635, 1711, 1925, 314, 2038, 2691, 2667, 3127, 3377, 1781, 2089, 3231, 2879, 3077, 3368, 2096, 2295, 3216, 1, 1905, 4026, 64, + 785, 3519, 480, 1921, 2885, 1851, 2274, 3200, 1906, 3027, 3219, 1938, 2490, 3506, 7, 1836, 3229, 70, 483, 1948, 448, 1147, 2908, 1792, 2273, 2843, 330, 1610, 2043, 2339, + 3331, 3530, 2360, 2903, 3350, 1647, 1984, 2285, 1126, 2770, 2887, 1363, 2241, 2828, 1087, 1245, 3048, 2419, 2443, 3451, 83, 504, 2199, 18, 1848, 2123, 1220, 1644, 3055, 2313, + 2468, 3436, 1638, 2297, 3259, 1978, 2335, 2935, 492, 2188, 2369, 1067, 1827, 2148, 1382, 2016, 2298, 2791, 2882, 3341, 93, 1927, 3517, 28, 1899, 3206, 1117, 2373, 3430, 1085, + 1222, 2857, 1407, 1896, 4007, 828, 2814, 3496, 819, 1107, 2776, 1369, 2827, 4014, 2319, 3429, 3557, 357, 1270, 1637, 39, 342, 2124, 102, 2178, 3558, 1567, 2040, 2167, 2190, + 3343, 3689, 2793, 3505, 3708, 1384, 1597, 1919, 340, 1238, 4004, 823, 3402, 3564, 2184, 3337, 3567, 333, 2028, 2135, 2798, 3354, 3710, 1391, 1552, 2019, 1599, 1917, 3033, 2471, + 3499, 3699, 507, 1088, 2396, 1074, 1824, 2864, 1659, 3046, 3238, 1959, 2357, 2477, 1219, 2862, 3979, 773, 1094, 3439, 123, 789, 3579, 58, 374, 4013, 2410, 2478, 3690, 1064, + 1561, 3071, 2203, 2401, 3696, 1073, 1589, 2133, 329, 577, 3652, 128, 2921, 3328, 1985, 2404, 2462, 1580, 1915, 2338, 1583, 3648, 3859, 697, 2002, 3332, 583, 1595, 1900, 134, + 2012, 2413, 1211, 2379, 2484, 1856, 2337, 2704, 429, 1040 +] +private def clayworthNeighborData_chunk2 : Array (Fin 4032) := #[ + 3949, 535, 3515, 3628, 2492, 3500, 3640, 1055, 2349, 3940, 1190, 2456, 3025, 1649, 2305, 2708, 2625, 3125, 3840, 641, 1417, 2568, 147, 855, 2426, 594, 1912, 3171, 1061, 3081, + 3869, 698, 2612, 3503, 1080, 1573, 2361, 2042, 2449, 3493, 844, 1427, 2407, 1891, 2681, 3192, 1626, 2362, 3915, 2494, 3038, 3615, 157, 1991, 3357, 604, 1574, 3677, 1181, 1461, + 2574, 2682, 2738, 3103, 373, 1632, 3698, 2942, 3070, 3360, 1171, 2940, 3068, 345, 1643, 2742, 567, 2590, 3494, 441, 1044, 3087, 385, 615, 3151, 166, 519, 834, 2295, 3189, + 3943, 846, 3576, 3604, 3032, 3371, 3573, 1635, 2242, 3691, 326, 418, 3107, 517, 2617, 2922, 514, 840, 3621, 442, 3145, 3962, 3060, 3551, 3600, 1615, 2263, 3950, 2247, 3680, + 3878, 674, 3378, 3529, 1152, 1433, 2414, 1888, 2669, 2749, 1068, 1546, 3846, 685, 2023, 3466, 339, 2692, 3128, 1158, 2594, 2931, 187, 540, 2928, 323, 417, 634, 673, 1411, + 3535, 2268, 2657, 3899, 859, 1414, 3555, 2245, 2658, 3167, 641, 900, 1338, 2, 2432, 3704, 1703, 2049, 2929, 315, 1605, 2402, 896, 1602, 2804, 442, 2066, 2436, 300, 647, + 1628, 28, 2076, 2923, 1275, 1710, 2920, 256, 2401, 3130, 202, 1931, 3999, 842, 2719, 3531, 1688, 2741, 3566, 239, 2413, 3984, 1254, 1705, 3458, 1501, 2369, 3111, 2165, 2812, + 3615, 395, 472, 1444, 5, 1136, 2930, 312, 611, 658, 236, 2121, 2769, 420, 1419, 3565, 230, 1655, 2425, 1682, 2106, 3559, 494, 1129, 2941, 291, 632, 3647, 1476, 2426, + 4029, 1726, 2713, 3464, 7, 2055, 2461, 668, 925, 1607, 466, 1245, 1429, 2143, 3100, 3637, 946, 1319, 1504, 2464, 3468, 3683, 1235, 3479, 3680, 1326, 1472, 3090, 869, 1420, + 3556, 229, 1956, 2127, 591, 679, 1959, 55, 870, 1115, 629, 3758, 3993, 1099, 2019, 2749, 2027, 2475, 3483, 939, 1515, 3760, 1316, 1965, 2147, 876, 1431, 3707, 879, 1100, + 2704, 585, 1966, 4021, 2016, 2751, 3470, 1522, 3753, 4031, 928, 2776, 3739, 423, 2033, 2482, 487, 1216, 2943, 288, 3073, 3609, 251, 1623, 2782, 429, 2087, 3578, 1291, 2168, + 3079, 1222, 1463, 3648, 23, 891, 3692, 698, 1325, 1978, 430, 510, 2010, 2814, 3600, 3724, 489, 1134, 1999, 607, 3645, 3723, 518, 705, 1924, 294, 1029, 1408, 1838, 2533, + 3239, 2408, 2491, 3097, 604, 1920, 2467, 1025, 1837, 3837, 711, 2432, 3135, 1414, 1831, 2516, 2506, 3157, 3246, 1493, 2417, 3125, 1163, 2813, 3950, 337, 1335, 2111, 1301, 2109, + 3224, 1198, 2429, 3945, 3049, 3191, 3241, 459, 1508, 2411 +] +private def clayworthNeighborData_chunk3 : Array (Fin 4032) := #[ + 599, 778, 3566, 1389, 2042, 3825, 1427, 2550, 3987, 722, 3133, 3339, 631, 805, 1179, 1292, 2023, 3816, 1193, 2431, 2476, 1316, 1803, 3218, 1390, 2518, 3993, 3088, 3340, 3547, + 494, 2418, 3952, 2098, 3070, 3262, 1052, 1437, 1850, 732, 1949, 2464, 1380, 2029, 3147, 781, 1495, 3531, 493, 541, 1970, 315, 1075, 3050, 300, 3056, 3159, 484, 516, 1483, + 341, 1303, 2030, 788, 1164, 2768, 743, 2777, 3374, 371, 1446, 4006, 701, 3376, 3916, 1003, 2097, 4008, 960, 1066, 3059, 506, 665, 1963, 534, 822, 2783, 266, 375, 1995, + 380, 2088, 4015, 2815, 3369, 3915, 992, 2091, 3068, 487, 703, 3931, 583, 693, 1952, 989, 1057, 3826, 1355, 2509, 3172, 1527, 3103, 3532, 581, 1200, 2488, 1291, 1828, 3839, + 566, 790, 1484, 293, 2020, 3148, 303, 325, 1467, 515, 762, 2805, 964, 1402, 3819, 578, 671, 3561, 1010, 1383, 4031, 656, 3355, 3568, 116, 200, 1988, 1472, 1793, 2661, + 1091, 1547, 1902, 696, 1420, 2498, 660, 1299, 1984, 1901, 2206, 2640, 121, 671, 2503, 1094, 1478, 1895, 1097, 1548, 3281, 1431, 2504, 4013, 904, 1791, 3048, 399, 1399, 1961, + 1365, 1577, 1966, 948, 1422, 1753, 1563, 3294, 3841, 1410, 2393, 4025, 515, 1289, 2895, 1623, 2190, 3948, 350, 1107, 1491, 98, 2514, 3636, 903, 1333, 2906, 1356, 2184, 3960, + 684, 920, 1435, 1380, 1582, 1867, 337, 1113, 1614, 538, 2520, 3614, 1416, 1747, 2431, 1584, 1959, 3898, 1501, 1914, 2644, 94, 656, 2013, 1602, 3300, 3963, 534, 2915, 3969, + 194, 2034, 2406, 1850, 2668, 3874, 1837, 3321, 3873, 199, 2387, 4002, 419, 1367, 3939, 898, 2929, 3057, 78, 3069, 3608, 372, 433, 1510, 1775, 3644, 3783, 382, 1267, 1944, + 1278, 2680, 3897, 2027, 2415, 3800, 216, 2923, 3051, 416, 1826, 3936, 344, 410, 1982, 1768, 3071, 3646, 1276, 1938, 3885, 1766, 2408, 3794, 1286, 2016, 3828, 1257, 2233, 2655, + 1141, 1608, 3285, 525, 2548, 4026, 677, 914, 1305, 1355, 1892, 2228, 210, 2912, 4001, 1849, 3309, 3904, 427, 1531, 1825, 72, 244, 3058, 1264, 1612, 2210, 521, 1283, 3784, + 380, 1258, 1627, 527, 3601, 3778, 769, 2052, 2271, 1348, 1536, 3602, 302, 1622, 2597, 443, 464, 2557, 419, 760, 2048, 301, 2631, 3630, 384, 775, 2546, 295, 1542, 2580, + 1006, 1613, 2570, 509, 2512, 3861, 1874, 3466, 3825, 183, 1976, 3235, 149, 1609, 3215, 501, 1880, 3802, 1001, 1626, 2813, 511, 2910, 3857, 713, 878, 3659, 1493, 2682, 3998, + 1299, 1555, 2614, 786, 2500, 2706, 719, 3684, 3823, 140 +] +private def clayworthNeighborData_chunk4 : Array (Fin 4032) := #[ + 2663, 4025, 428, 479, 3789, 164, 267, 1603, 1305, 1523, 2582, 859, 2550, 2712, 473, 1918, 2932, 1615, 2815, 3209, 314, 1565, 3623, 416, 796, 2077, 972, 1489, 4020, 843, + 3694, 3885, 2098, 2293, 2940, 1394, 2795, 3608, 1008, 1387, 2802, 2249, 2897, 3870, 151, 1964, 4002, 3493, 3693, 3816, 807, 2727, 3478, 1318, 1574, 1952, 1902, 2310, 2729, 1320, + 1855, 3231, 1842, 2801, 3646, 2091, 2308, 2942, 2275, 3476, 3706, 1344, 1979, 3982, 1327, 1955, 3256, 1895, 2734, 3469, 1853, 2792, 3253, 1897, 2333, 2904, 735, 2080, 2358, 1835, + 2652, 3625, 971, 1532, 2573, 844, 2516, 3876, 440, 739, 3786, 139, 292, 2642, 2255, 3687, 3897, 987, 1376, 3976, 1373, 1595, 1920, 826, 2296, 3510, 1527, 1841, 2625, 757, + 873, 2326, 1343, 1477, 1832, 880, 2307, 2750, 129, 2844, 3973, 256, 1873, 3526, 445, 1184, 2511, 1724, 3611, 3818, 2598, 2849, 3838, 438, 2101, 3545, 135, 1726, 3827, 262, + 434, 1187, 1101, 1152, 2522, 367, 1681, 3632, 822, 1558, 3021, 1218, 1941, 3494, 1224, 1956, 2499, 1549, 3030, 3618, 1114, 2509, 3407, 358, 2451, 3626, 689, 1425, 2623, 1776, + 2109, 3278, 275, 1208, 3671, 146, 1688, 3204, 1429, 1556, 2585, 1755, 1950, 2064, 1546, 3598, 3824, 400, 1965, 2505, 1196, 3306, 3660, 701, 1716, 3250, 2438, 3011, 3617, 1230, + 2518, 3418, 285, 388, 3539, 156, 2817, 3836, 1135, 1769, 3291, 383, 680, 1438, 2491, 2821, 3996, 1916, 3424, 3523, 1137, 1907, 3427, 339, 2470, 3975, 1740, 1937, 3515, 790, + 1444, 1590, 167, 797, 3254, 294, 3462, 3650, 3023, 3167, 3216, 1228, 3662, 3726, 3435, 3529, 3745, 2432, 2867, 3197, 771, 1453, 3991, 1739, 1911, 3456, 1239, 3475, 3656, 772, + 3034, 3220, 1243, 3441, 3746, 2461, 3017, 3152, 2607, 2858, 3199, 2073, 3573, 3754, 1098, 1211, 3312, 360, 703, 1694, 1573, 2579, 3817, 404, 1977, 2079, 345, 1465, 3970, 1128, + 1774, 1861, 315, 1877, 3485, 186, 774, 4023, 2111, 3298, 3760, 683, 2600, 3161, 3297, 3675, 3739, 690, 3189, 3261, 3, 3441, 3841, 273, 320, 2047, 1248, 1924, 2526, 2344, + 2711, 3387, 1427, 2354, 3442, 1923, 2034, 3006, 29, 2367, 3372, 326, 1251, 1949, 1216, 2548, 2619, 1307, 2700, 3328, 74, 1611, 3515, 1795, 3210, 3556, 1814, 2556, 3213, 1612, + 2696, 3456, 2520, 2598, 3922, 1292, 1713, 2715, 447, 477, 1448, 1011, 1915, 2986, 339, 919, 1272, 4, 3141, 3384, 452, 1455, 1621, 1900, 2992, 3220, 1623, 2353, 2690, 1974, + 2513, 3222, 908, 961, 1260, 427, 3164, 3363, 1690, 2702 +] +private def clayworthNeighborData_chunk5 : Array (Fin 4032) := #[ + 3488, 1805, 2558, 3943, 349, 1926, 2045, 6, 2365, 3435, 965, 1894, 2589, 445, 454, 1321, 1696, 3432, 3898, 316, 2024, 3966, 307, 2579, 3928, 1291, 1707, 3879, 1893, 3237, + 3531, 101, 502, 1636, 54, 86, 3191, 358, 898, 3575, 607, 3138, 3512, 910, 1807, 3290, 2033, 3299, 3945, 637, 1699, 3455, 84, 470, 3847, 311, 1866, 3532, 904, 1801, + 3541, 77, 3159, 3500, 1818, 3279, 3950, 592, 1679, 3491, 639, 1433, 3453, 2027, 3004, 3296, 988, 1275, 2560, 434, 1328, 3360, 1446, 1655, 2347, 1942, 2985, 3254, 451, 1326, + 3858, 261, 1903, 2566, 277, 379, 3543, 22, 118, 3868, 1002, 2995, 3307, 424, 601, 1471, 923, 993, 3313, 433, 629, 3143, 841, 1409, 2962, 384, 979, 3114, 2775, 3181, + 3742, 2084, 2157, 2563, 1987, 2145, 3002, 1019, 1657, 2780, 1415, 2170, 2582, 390, 2754, 3193, 2683, 3172, 3764, 528, 2093, 2569, 941, 2448, 3052, 1303, 1581, 3666, 1572, 3687, + 3772, 2065, 2463, 3045, 2662, 3411, 3736, 532, 2105, 3249, 1398, 2009, 3777, 1601, 1752, 2194, 403, 1943, 3166, 1242, 1426, 2573, 1348, 2003, 2469, 1658, 2215, 3676, 2069, 2169, + 2488, 2807, 3706, 3729, 1745, 1932, 3153, 1229, 2586, 3833, 2078, 3028, 3226, 1557, 3398, 3774, 413, 998, 2759, 1436, 2113, 2983, 1790, 2183, 2653, 562, 1364, 3834, 885, 2951, + 3232, 966, 3105, 3445, 2643, 3106, 3417, 566, 857, 3243, 1335, 2234, 3655, 953, 1394, 2452, 897, 1265, 1447, 422, 1287, 1922, 1263, 3039, 3355, 1566, 1934, 2304, 989, 2342, + 3401, 2972, 3235, 3362, 838, 930, 1405, 1285, 2177, 3099, 1282, 1593, 1928, 954, 1256, 3064, 1553, 2363, 3395, 3024, 3215, 3342, 1993, 2945, 3361, 960, 1634, 2323, 1788, 2624, + 3157, 573, 2575, 3821, 1990, 2146, 2476, 1645, 2757, 3649, 516, 851, 1360, 2204, 2630, 3086, 443, 1308, 3120, 835, 929, 1466, 1633, 1780, 2310, 2037, 3370, 3809, 1758, 1947, + 2333, 1226, 3376, 3810, 73, 1537, 3265, 512, 1792, 2497, 996, 2955, 3457, 620, 3211, 3451, 623, 3269, 3978, 249, 1796, 3474, 635, 1543, 3436, 518, 1005, 3484, 971, 1176, + 2980, 2253, 3246, 3392, 400, 1069, 2797, 151, 2043, 3731, 2028, 2967, 3737, 415, 2788, 3227, 1170, 1425, 2965, 1648, 2266, 3241, 1525, 2667, 4027, 193, 1096, 3017, 531, 1018, + 2071, 1554, 2112, 3448, 421, 1481, 4012, 250, 1140, 2031, 440, 613, 3212, 2021, 2956, 3514, 999, 2060, 3027, 2144, 2639, 3427, 1641, 2763, 3248, 1438, 2999, 3775, 541, 1821, + 3463, 614, 1564, 3292, 1102, 1193, 3061, 1503, 2243, 2673 +] +private def clayworthNeighborData_chunk6 : Array (Fin 4032) := #[ + 117, 1651, 3297, 1470, 1824, 2554, 1191, 1468, 2541, 89, 1642, 2255, 183, 1118, 2022, 404, 1081, 1487, 1025, 1575, 2141, 135, 550, 2050, 2162, 2750, 2791, 2062, 3547, 3759, + 1432, 1835, 3562, 1660, 2739, 3306, 70, 1058, 1507, 133, 1145, 2530, 130, 2056, 3750, 1082, 2116, 2810, 1460, 3568, 3752, 1662, 2748, 2798, 2730, 3315, 4015, 226, 1842, 3553, + 1006, 1214, 3033, 2262, 2650, 3424, 428, 586, 4005, 237, 1994, 3495, 83, 1528, 2249, 1122, 1198, 2553, 156, 571, 2529, 67, 1057, 1594, 225, 3011, 3554, 2656, 2736, 4006, + 2075, 3014, 3534, 2155, 2659, 2729, 132, 1601, 2746, 66, 2978, 3712, 295, 3121, 3521, 763, 3150, 3205, 128, 3202, 3892, 954, 3538, 3716, 748, 1607, 3228, 92, 3098, 3548, + 302, 2374, 3115, 704, 1396, 3144, 10, 331, 1488, 543, 1930, 2318, 280, 565, 2331, 47, 1533, 3193, 297, 2397, 3663, 1352, 2856, 3188, 1557, 3637, 3900, 907, 1112, 1741, + 69, 2544, 3087, 760, 1443, 1618, 44, 3593, 3857, 932, 1750, 2337, 38, 3170, 3255, 274, 2352, 3578, 1134, 2537, 3107, 739, 1464, 1587, 1522, 2879, 3166, 318, 537, 3674, + 71, 3527, 3741, 157, 1628, 3207, 1106, 1754, 2390, 1362, 1591, 3615, 178, 2727, 2859, 2977, 3680, 3744, 2372, 2945, 3683, 1346, 2734, 2865, 1731, 1957, 2338, 37, 356, 3599, + 359, 1423, 1639, 119, 1958, 2523, 1070, 1461, 1526, 573, 2507, 2762, 2778, 3691, 3755, 171, 1072, 2866, 365, 2724, 3619, 1737, 1964, 2989, 528, 1967, 2508, 366, 1417, 1492, + 575, 2765, 3697, 1065, 1476, 2877, 160, 1051, 3864, 935, 2801, 3762, 1127, 2371, 3104, 736, 1368, 1541, 59, 3223, 3870, 941, 2346, 3559, 1351, 2699, 3640, 1743, 2422, 3002, + 87, 1979, 3001, 378, 1658, 2733, 942, 1150, 2792, 1036, 1553, 3902, 1129, 2542, 2799, 1035, 1439, 1596, 324, 1286, 1665, 742, 1773, 2437, 485, 679, 3310, 1366, 3190, 3771, + 320, 1436, 3747, 1213, 2433, 3309, 1357, 1671, 3712, 468, 1758, 3303, 458, 686, 1237, 1398, 2868, 3158, 2635, 3024, 3901, 849, 2743, 3583, 664, 2709, 3581, 2670, 3069, 3165, + 681, 1233, 3423, 1099, 2824, 3139, 1431, 1802, 2331, 1201, 2807, 2925, 502, 1494, 1745, 977, 1354, 1682, 1463, 1829, 2651, 1192, 2700, 2757, 2665, 3140, 3756, 658, 2724, 3275, + 470, 1526, 2926, 981, 1381, 2306, 1134, 3058, 3142, 702, 3445, 3570, 1785, 2460, 3322, 349, 1692, 3744, 1221, 2773, 2916, 1805, 2318, 2834, 370, 1133, 1309, 763, 2483, 3453, + 748, 1276, 3408, 1124, 1284, 2818, 853, 2711, 2803, 1812 +] +private def clayworthNeighborData_chunk7 : Array (Fin 4032) := #[ + 2636, 3856, 1020, 1703, 3865, 883, 1475, 1749, 965, 1661, 3062, 1501, 2283, 3569, 2240, 2474, 3455, 363, 1146, 1625, 1302, 1846, 3871, 714, 887, 2812, 892, 1478, 3560, 1011, + 3028, 3903, 2272, 3417, 3563, 1127, 1663, 3012, 352, 1415, 1653, 1202, 2269, 2465, 461, 1271, 2891, 1364, 2312, 2840, 1413, 2672, 3768, 1215, 2699, 3300, 1334, 1814, 2823, 741, + 1267, 2769, 751, 837, 1764, 1283, 1722, 3893, 1195, 2244, 2938, 1410, 1631, 2316, 1476, 2290, 2919, 1015, 1616, 2327, 426, 755, 1350, 79, 664, 2944, 1707, 2386, 3816, 1625, + 2100, 3295, 444, 1500, 2082, 670, 936, 1727, 737, 1653, 2056, 1714, 2375, 2950, 2392, 3099, 3823, 1619, 2723, 3320, 11, 3393, 3877, 564, 776, 2807, 542, 2773, 3801, 46, + 3273, 3884, 2622, 3084, 3814, 1163, 2744, 3299, 1495, 1866, 3474, 915, 2455, 3020, 2370, 2963, 3968, 705, 1251, 1609, 27, 1527, 1893, 921, 2764, 3019, 41, 2078, 3317, 1713, + 2788, 3839, 2376, 2460, 4027, 1231, 1603, 3497, 1198, 3279, 3896, 569, 2601, 3795, 692, 1725, 2973, 435, 746, 2062, 2487, 3035, 3080, 1869, 2688, 3495, 432, 1197, 1373, 73, + 702, 2611, 67, 2620, 3095, 1188, 1348, 2732, 770, 2775, 3054, 12, 1876, 3450, 732, 1248, 3426, 792, 2982, 3997, 1027, 1265, 3856, 526, 2347, 3987, 700, 2304, 2602, 425, + 1039, 1210, 1366, 1910, 3437, 77, 775, 3049, 520, 820, 3974, 1259, 3425, 3860, 546, 2336, 2608, 1033, 1191, 3871, 446, 1050, 1479, 657, 943, 2333, 2420, 2437, 3086, 1606, + 2720, 3502, 48, 1477, 2105, 959, 1704, 2763, 1398, 1878, 2747, 86, 3056, 3074, 90, 786, 3003, 709, 1347, 3449, 934, 2308, 2434, 1037, 1474, 3480, 2354, 2439, 4006, 1046, + 1242, 3518, 134, 1729, 1921, 389, 806, 3008, 2346, 2896, 3374, 1000, 1497, 3007, 1564, 1925, 2982, 385, 3373, 3831, 1535, 1735, 2969, 2900, 3014, 3367, 2139, 2337, 2911, 1009, + 1525, 3093, 1155, 2798, 3965, 81, 895, 2871, 893, 2309, 2837, 1021, 1158, 2793, 1449, 2124, 2305, 1003, 1227, 3108, 266, 1559, 3540, 1687, 3514, 3787, 2917, 3027, 3884, 1533, + 1746, 1803, 293, 1206, 1591, 2828, 3495, 3788, 1023, 1181, 2984, 2355, 2852, 3339, 1678, 2924, 3877, 1488, 1804, 3576, 1010, 1262, 2800, 882, 1470, 2332, 412, 3037, 3386, 1756, + 1948, 2963, 1666, 2120, 3501, 269, 3095, 3557, 157, 1261, 1953, 435, 827, 1450, 812, 1456, 2135, 132, 1252, 3083, 85, 2839, 3502, 276, 1174, 3920, 1767, 1838, 3929, 115, + 3046, 3899, 253, 1840, 2764, 881, 2411, 3887, 426, 1459 +] +private def clayworthNeighborData_chunk8 : Array (Fin 4032) := #[ + 2368, 217, 1274, 1962, 150, 310, 3935, 119, 778, 3467, 124, 872, 3878, 1833, 2763, 3967, 875, 1468, 2400, 255, 1255, 2779, 245, 1543, 1971, 417, 2397, 3797, 1672, 2126, + 2936, 1503, 3127, 3564, 1156, 1541, 2991, 2827, 3364, 3799, 182, 278, 3084, 805, 2114, 3492, 69, 815, 3067, 131, 1786, 3957, 1676, 2372, 3812, 223, 1538, 3536, 1691, 2418, + 3850, 208, 1819, 3551, 8, 244, 2761, 2865, 3265, 3813, 2147, 2499, 2588, 450, 1656, 1731, 1620, 2707, 2774, 1892, 2583, 3792, 249, 455, 1631, 2502, 2567, 2863, 785, 2127, + 2505, 456, 1524, 1737, 136, 628, 3422, 361, 911, 2935, 366, 2155, 2901, 180, 584, 1747, 798, 2008, 2138, 1502, 1781, 3186, 1283, 2697, 3119, 1886, 3053, 3223, 862, 2515, + 2826, 226, 466, 1590, 135, 2741, 3112, 1913, 2892, 3066, 152, 1644, 1734, 2144, 2565, 2916, 849, 2521, 3214, 472, 1306, 1556, 590, 1753, 3140, 359, 2036, 2161, 2562, 2856, + 3796, 222, 1616, 2755, 804, 3065, 3202, 1302, 1486, 3082, 2, 2767, 3152, 2044, 3322, 3820, 825, 2046, 3309, 7, 1529, 3197, 931, 2903, 3009, 130, 3121, 3409, 206, 1540, + 3416, 884, 945, 2829, 633, 1159, 1597, 344, 894, 2395, 2001, 2410, 3832, 1176, 2778, 3156, 24, 3098, 3452, 928, 3041, 3298, 382, 856, 922, 606, 1586, 3444, 338, 2014, + 2416, 610, 1170, 3190, 1204, 2694, 2765, 1877, 2401, 3807, 789, 2549, 3208, 500, 1293, 1480, 146, 1637, 2713, 1901, 2615, 2891, 18, 1506, 3085, 813, 3042, 3321, 939, 2842, + 3297, 52, 200, 3454, 1873, 2402, 3212, 1160, 1289, 2691, 892, 2382, 3227, 1154, 1295, 1552, 308, 584, 3012, 1680, 2231, 2748, 1151, 2870, 3147, 1034, 2383, 2956, 1078, 2771, + 3030, 2193, 2826, 3678, 313, 1037, 2394, 1128, 2693, 2836, 1149, 2921, 3148, 2403, 2967, 4023, 1334, 2120, 2623, 394, 975, 2449, 421, 2453, 3177, 1302, 2164, 2958, 2926, 3163, + 3957, 2946, 3289, 3989, 1347, 2501, 2761, 1543, 3662, 3863, 782, 1137, 2743, 290, 2267, 2417, 2119, 2524, 2805, 2483, 3656, 3842, 1061, 2136, 2971, 2487, 2838, 3182, 776, 1131, + 1588, 1370, 2252, 2411, 1293, 2952, 3317, 404, 3184, 3929, 2197, 2739, 2853, 286, 1046, 3062, 1554, 2907, 3852, 1366, 2547, 4019, 578, 3037, 3325, 1725, 2181, 3907, 1727, 2891, + 3913, 583, 3327, 3985, 995, 2492, 3848, 2114, 2497, 2621, 270, 2254, 2609, 802, 1009, 2709, 917, 1317, 2242, 406, 798, 1462, 1411, 2227, 3910, 956, 3014, 3280, 600, 2529, + 2610, 992, 1717, 3854, 397, 825, 986, 1300, 2248, 2600 +] +private def clayworthNeighborData_chunk9 : Array (Fin 4032) := #[ + 438, 1430, 3923, 913, 1290, 3295, 947, 2758, 3011, 1414, 2236, 3705, 1138, 1560, 2928, 1357, 2400, 3973, 1044, 2130, 2777, 2437, 2829, 3700, 594, 2538, 4028, 1689, 2892, 3867, + 1003, 1695, 2705, 264, 628, 2603, 1437, 1538, 3682, 901, 1353, 2755, 820, 1412, 1544, 951, 1359, 2263, 372, 648, 3460, 2636, 3072, 3329, 587, 2563, 3438, 248, 2938, 3020, + 212, 2835, 3456, 926, 2626, 3437, 223, 377, 2919, 2566, 3078, 3431, 588, 2569, 3704, 2881, 3031, 3868, 767, 1448, 2184, 1039, 1682, 1946, 617, 1671, 1933, 729, 2228, 3022, + 603, 3679, 4026, 985, 3010, 3845, 131, 2545, 2825, 910, 1638, 2796, 94, 2579, 3091, 354, 2898, 3772, 2183, 2539, 2869, 904, 1716, 2808, 236, 2200, 3035, 622, 1666, 3403, + 81, 1663, 2585, 154, 2887, 3774, 723, 1023, 3016, 624, 1942, 4007, 2647, 3101, 3450, 208, 350, 3485, 1619, 2811, 3685, 150, 2522, 3873, 642, 998, 3506, 2651, 3386, 3996, + 3373, 3664, 3969, 647, 979, 3891, 1059, 1688, 2787, 1457, 2178, 2528, 334, 1469, 3763, 116, 1073, 3110, 751, 3760, 3829, 126, 499, 1929, 510, 2638, 3975, 1007, 3499, 3779, + 664, 1451, 2531, 1056, 2784, 3362, 88, 1050, 1935, 744, 1471, 3754, 508, 1923, 3986, 742, 1000, 3785, 2822, 3488, 3782, 489, 953, 2632, 1625, 2613, 3692, 141, 2908, 3841, + 229, 2194, 2841, 948, 1672, 3428, 658, 2511, 3882, 2752, 3385, 3668, 1067, 3131, 3361, 328, 692, 1458, 496, 930, 1647, 137, 2819, 3795, 124, 490, 1640, 143, 3753, 3801, + 1793, 3365, 3524, 1565, 2151, 2884, 750, 2211, 3222, 509, 955, 1104, 931, 1720, 3520, 749, 1568, 3783, 498, 896, 1799, 743, 2119, 2232, 2191, 2286, 3213, 464, 1149, 2029, + 1201, 2578, 3649, 376, 439, 675, 405, 655, 3209, 1141, 1178, 2599, 2281, 3226, 3901, 1151, 2020, 3117, 1673, 1966, 2960, 1489, 2868, 3834, 2140, 2207, 2707, 452, 530, 1810, + 1199, 1679, 2975, 396, 1502, 3815, 940, 1119, 1165, 420, 715, 3203, 2229, 2713, 2876, 502, 536, 1947, 1113, 2618, 3130, 649, 3215, 3903, 762, 1536, 2130, 928, 1820, 3549, + 1493, 2252, 2846, 1931, 2014, 2964, 3106, 3372, 3570, 1540, 2930, 3883, 2288, 2923, 3890, 2005, 3129, 3384, 364, 407, 1529, 1192, 3000, 3706, 551, 1831, 3682, 352, 2113, 2726, + 553, 2063, 2588, 671, 2728, 3327, 1586, 3314, 3889, 2080, 3105, 3563, 2988, 3344, 3693, 379, 1517, 2880, 355, 696, 2735, 558, 2567, 3681, 693, 3325, 3880, 2083, 2561, 3073, + 1695, 2091, 3552, 1579, 3307, 3804, 2185, 2251, 2833, 468 +] +private def clayworthNeighborData_chunk10 : Array (Fin 4032) := #[ + 1932, 2041, 952, 1162, 1699, 395, 740, 3794, 2001, 2981, 3359, 1508, 2267, 2912, 320, 2170, 2909, 1850, 3348, 3705, 2840, 3313, 3777, 1717, 1961, 2097, 2751, 2878, 3304, 574, + 1968, 2074, 557, 1857, 3593, 2274, 2463, 3136, 91, 867, 1542, 1019, 1168, 2373, 513, 724, 995, 66, 2214, 2270, 960, 1863, 2423, 78, 888, 3142, 847, 1539, 2350, 1213, + 2396, 3963, 915, 2832, 3533, 436, 503, 3810, 469, 1561, 3833, 902, 1205, 2877, 1545, 2345, 3393, 1215, 2512, 3904, 760, 2030, 3714, 2205, 2723, 4004, 863, 2771, 3155, 207, + 1874, 2391, 735, 949, 3719, 460, 2182, 3989, 899, 1004, 1183, 76, 484, 1555, 885, 2737, 2777, 227, 2011, 2370, 1177, 2516, 2866, 1589, 3425, 3806, 72, 2297, 3165, 570, + 992, 1884, 2316, 2703, 4013, 1995, 3720, 3923, 569, 2552, 3587, 2254, 2488, 3397, 2352, 2467, 3420, 2527, 3606, 3933, 414, 471, 3985, 921, 3530, 3730, 218, 1895, 3569, 446, + 2790, 3174, 235, 1928, 2870, 1665, 2792, 3784, 1709, 2248, 3443, 546, 1927, 2540, 3567, 3610, 3736, 401, 2441, 3998, 408, 2799, 3790, 241, 2836, 3546, 1722, 3434, 3828, 1922, + 2533, 2820, 545, 741, 1938, 1721, 2235, 2292, 841, 2315, 2714, 1996, 2375, 3942, 720, 905, 1016, 87, 459, 2195, 3597, 3764, 3910, 2331, 2447, 4025, 444, 2485, 3195, 1914, + 3560, 3599, 1698, 2176, 2720, 748, 1944, 2025, 1697, 2731, 2815, 224, 1972, 2032, 385, 1520, 3996, 704, 2367, 2596, 463, 957, 2656, 316, 1194, 1562, 1214, 2225, 4001, 950, + 2351, 3573, 318, 391, 1203, 710, 946, 2659, 474, 2509, 2624, 273, 879, 1585, 1846, 2120, 3428, 341, 2389, 3655, 356, 451, 2385, 1546, 2126, 3403, 461, 2522, 3957, 870, + 1576, 3731, 1649, 1777, 2186, 592, 782, 3581, 723, 2680, 3007, 280, 402, 644, 1754, 2142, 2223, 350, 596, 3536, 1200, 1549, 2146, 365, 457, 912, 810, 2668, 3005, 308, + 690, 1661, 1583, 3404, 3718, 470, 2398, 3913, 733, 900, 2344, 412, 1212, 3969, 607, 795, 2543, 895, 1640, 1768, 1499, 3771, 3973, 2329, 2605, 3960, 2545, 2617, 3935, 851, + 1484, 3750, 337, 613, 3666, 1741, 1814, 2164, 423, 694, 1821, 742, 2984, 3656, 656, 1226, 3447, 1038, 2413, 2987, 1057, 2323, 3939, 1260, 3712, 4019, 1518, 1738, 1795, 620, + 2577, 3672, 2404, 2993, 3650, 660, 1796, 3413, 1058, 2425, 3919, 1253, 3415, 3741, 1275, 2202, 4010, 1066, 2342, 3545, 816, 2506, 2683, 286, 872, 1663, 1193, 2169, 2216, 377, + 916, 3551, 857, 1483, 1775, 632, 2536, 2590, 763, 2581 +] +private def clayworthNeighborData_chunk11 : Array (Fin 4032) := #[ + 3700, 442, 1513, 1798, 802, 1072, 3583, 1254, 1643, 2189, 801, 1051, 2994, 701, 1263, 1650, 355, 449, 4016, 117, 2865, 3478, 32, 1021, 2425, 935, 1853, 2302, 346, 881, + 958, 574, 1014, 3465, 455, 942, 1842, 35, 120, 1010, 0, 1141, 2398, 788, 1808, 2264, 1910, 2591, 3158, 419, 1464, 3574, 440, 1443, 2382, 2286, 2616, 3149, 1119, 1785, + 2420, 805, 2066, 2258, 842, 1049, 2961, 542, 1297, 2925, 56, 99, 3767, 466, 1796, 3781, 879, 2965, 3156, 393, 529, 1310, 914, 2281, 3146, 415, 976, 2402, 44, 2897, + 3735, 1027, 1846, 3804, 2055, 2279, 2604, 1440, 1773, 2376, 95, 964, 3459, 335, 476, 937, 1103, 1301, 2937, 799, 1077, 2974, 352, 2100, 4010, 1761, 2859, 3469, 1144, 1762, + 2848, 812, 2072, 4001, 399, 1337, 3540, 1878, 2980, 3190, 487, 1885, 3831, 79, 3570, 3733, 2580, 3115, 3778, 1467, 2633, 3723, 1729, 2655, 3482, 363, 2056, 3112, 1859, 2989, + 3982, 1325, 2831, 3536, 1452, 3524, 3748, 1860, 2576, 3799, 1408, 1786, 2677, 2050, 2597, 3121, 369, 858, 3135, 536, 2680, 3471, 59, 1097, 2910, 784, 1033, 1812, 872, 920, + 3173, 437, 572, 980, 824, 3001, 4002, 1123, 1316, 2851, 73, 2842, 3581, 506, 1862, 3995, 564, 2659, 2916, 845, 1043, 3133, 2639, 2901, 3724, 1030, 3122, 3783, 513, 1308, + 3854, 768, 3409, 3548, 1085, 1212, 2912, 1352, 3769, 3813, 1126, 1313, 3798, 885, 1078, 3571, 519, 1346, 3796, 774, 1074, 1169, 1214, 2573, 2915, 111, 1358, 3746, 310, 598, + 1421, 450, 1964, 2022, 456, 1957, 2939, 589, 1430, 3764, 1871, 2586, 2936, 102, 2960, 3726, 241, 1151, 3025, 752, 893, 3711, 787, 1182, 3302, 530, 1367, 2329, 596, 1113, + 3029, 731, 848, 1951, 586, 3742, 3786, 1040, 1940, 2880, 1204, 3311, 3691, 253, 1356, 2323, 1411, 2975, 3720, 462, 1882, 2924, 797, 1028, 3525, 540, 1281, 3830, 745, 2607, + 3688, 127, 232, 3038, 1285, 3007, 3874, 1888, 3452, 3521, 1891, 2609, 3443, 83, 3005, 3897, 716, 1976, 2043, 278, 630, 3044, 285, 551, 2357, 806, 1990, 3283, 1423, 2155, + 2307, 460, 3327, 3626, 1899, 3553, 3625, 1331, 2152, 2969, 259, 3053, 3892, 715, 1984, 3447, 471, 2003, 3289, 260, 1434, 2313, 475, 1905, 3632, 1417, 2161, 2997, 1135, 1322, + 2175, 857, 3562, 3646, 1176, 2570, 3697, 104, 255, 1371, 613, 1107, 3789, 863, 1044, 1936, 89, 3065, 3870, 750, 2600, 3397, 827, 2013, 3413, 262, 570, 3848, 895, 3644, + 3709, 235, 1128, 2173, 3304, 3635, 3698, 242, 2162, 2310 +] +private def clayworthNeighborData_chunk12 : Array (Fin 4032) := #[ + 67, 2008, 3919, 721, 832, 2784, 324, 478, 2377, 535, 985, 2067, 1745, 2048, 3936, 323, 2767, 3480, 93, 1013, 2054, 349, 838, 2421, 500, 2219, 2371, 524, 979, 2715, + 202, 3211, 3666, 650, 2338, 3267, 508, 653, 3286, 520, 3212, 3672, 472, 2225, 3061, 305, 539, 2700, 959, 1117, 1733, 2291, 2563, 3458, 151, 851, 2393, 68, 969, 1246, + 1092, 1783, 3221, 660, 2582, 3463, 514, 2086, 3223, 374, 465, 662, 140, 2241, 2387, 939, 963, 1268, 282, 526, 3710, 510, 3039, 3277, 326, 861, 2787, 70, 2077, 3939, + 2237, 2245, 2566, 957, 1094, 2729, 288, 2036, 3930, 764, 2795, 3071, 755, 2216, 3033, 299, 1992, 2699, 677, 2318, 2614, 229, 1142, 3236, 118, 214, 1233, 130, 870, 2334, + 1278, 1439, 3694, 142, 794, 3279, 803, 2801, 3069, 291, 1469, 3953, 212, 1110, 1991, 759, 2312, 2564, 136, 2361, 3273, 205, 1276, 3687, 783, 3024, 3290, 271, 1424, 3689, + 1471, 1788, 3947, 800, 2778, 3508, 2226, 2268, 2374, 946, 966, 2736, 1749, 2107, 3255, 342, 694, 3474, 1091, 1986, 2734, 709, 2239, 2589, 725, 891, 2356, 86, 246, 2002, + 811, 2282, 3464, 936, 1433, 1779, 155, 817, 2273, 945, 1240, 1461, 1772, 1929, 3497, 896, 1385, 2259, 1054, 1239, 3863, 2201, 3556, 3629, 2771, 3467, 3617, 2299, 3257, 3868, + 1759, 2229, 3642, 902, 1228, 3842, 1076, 1271, 3835, 1296, 2195, 3565, 173, 3393, 3728, 2156, 2711, 2954, 1084, 2168, 2981, 3450, 3537, 3743, 1048, 3814, 3951, 689, 1300, 3577, + 1153, 2752, 2934, 585, 1857, 3201, 343, 915, 1227, 1744, 2185, 2424, 2781, 2884, 3749, 1884, 2982, 3258, 3541, 3641, 3768, 1041, 2988, 3895, 332, 595, 1252, 1209, 2179, 2412, + 666, 3431, 3550, 1086, 2143, 3942, 925, 2278, 3847, 1784, 3502, 3585, 629, 1889, 3805, 1210, 1330, 2900, 672, 1973, 3504, 1406, 2246, 3967, 1404, 3795, 3944, 683, 1334, 1945, + 1861, 2743, 2991, 185, 2930, 3732, 129, 1748, 2403, 322, 934, 2695, 1015, 2368, 3399, 334, 2104, 2132, 2101, 2269, 3929, 675, 962, 3483, 162, 1926, 2941, 1386, 1907, 2693, + 328, 2149, 2690, 186, 2400, 3420, 2079, 2128, 3923, 655, 983, 3410, 967, 2790, 3468, 2057, 2240, 3234, 601, 1237, 3776, 1197, 1341, 2182, 2758, 3618, 3756, 3003, 3245, 3845, + 1284, 1939, 2896, 1395, 1898, 3782, 955, 1392, 2716, 161, 1765, 1923, 579, 2063, 3233, 988, 1185, 2811, 347, 582, 2083, 965, 1186, 2427, 2057, 2465, 3009, 1024, 1514, 2387, + 2146, 3598, 3927, 868, 1091, 3137, 2446, 3193, 3459, 1616 +] +private def clayworthNeighborData_chunk13 : Array (Fin 4032) := #[ + 2427, 3932, 1110, 3015, 3169, 1030, 2145, 3906, 2126, 2672, 3618, 144, 877, 1097, 1452, 2221, 2957, 621, 2839, 3267, 612, 3286, 3636, 849, 1445, 2954, 1875, 2665, 3641, 148, + 889, 2363, 1683, 3481, 3832, 728, 914, 1604, 1043, 1958, 2154, 474, 1101, 3026, 1702, 2993, 3475, 935, 1654, 3293, 853, 2991, 3194, 3318, 3592, 3959, 721, 1967, 2160, 461, + 1114, 3776, 862, 1428, 2348, 597, 1862, 3614, 1053, 2406, 3911, 2466, 3036, 3170, 766, 903, 2675, 178, 1670, 3811, 2101, 2351, 2474, 1505, 1909, 2374, 1506, 1881, 2686, 182, + 2073, 2342, 954, 2871, 3270, 1723, 2233, 2970, 497, 2177, 3047, 1062, 1939, 2823, 495, 1439, 1819, 606, 1983, 3240, 1865, 2397, 3243, 1826, 2314, 2480, 1664, 2054, 2210, 897, + 1499, 2821, 633, 1945, 2818, 488, 1464, 2234, 593, 1859, 3249, 1424, 1806, 2341, 1825, 2459, 3465, 1661, 2368, 3250, 764, 2139, 2666, 189, 1103, 3808, 2984, 3181, 3462, 1620, + 3268, 3909, 132, 1693, 2067, 924, 1486, 2684, 1083, 1520, 2844, 2051, 2209, 3066, 756, 1650, 3261, 1834, 3509, 3820, 734, 1960, 3263, 458, 1840, 3835, 201, 769, 2150, 449, + 1280, 3264, 2276, 3514, 3673, 651, 1452, 3941, 773, 1455, 1491, 57, 3268, 3651, 1467, 2118, 3924, 1286, 2285, 3701, 2251, 2648, 3501, 686, 3337, 3948, 912, 2477, 3885, 407, + 1043, 2806, 1049, 2772, 3489, 667, 927, 3876, 1777, 2642, 3513, 681, 3248, 3381, 1481, 2860, 3819, 1, 2504, 3415, 1299, 2298, 3543, 2141, 3584, 3920, 933, 1525, 2875, 58, + 2548, 2802, 652, 952, 1445, 2768, 3457, 3667, 2279, 3406, 3532, 3616, 3791, 3935, 688, 3241, 3851, 1087, 1768, 3490, 1309, 3293, 3657, 796, 1446, 2131, 2510, 2665, 3394, 2872, + 3363, 3825, 245, 801, 3251, 506, 1778, 3296, 493, 1771, 2663, 217, 3242, 3359, 439, 2526, 2756, 916, 2489, 2816, 2112, 2433, 3613, 391, 1318, 3522, 574, 3634, 3879, 1071, + 2306, 3534, 1789, 2359, 3307, 563, 810, 3260, 198, 2466, 2848, 389, 482, 2553, 386, 1062, 3528, 2490, 3588, 3898, 1064, 1791, 2327, 572, 3262, 3886, 554, 819, 1478, 34, + 2309, 3314, 2286, 2686, 3400, 3343, 3802, 3960, 940, 1418, 1497, 45, 2813, 3654, 211, 2851, 3384, 505, 2530, 2670, 412, 481, 1339, 195, 2171, 2465, 33, 2332, 3404, 560, + 1475, 3808, 2311, 3419, 3547, 553, 3627, 3811, 265, 2935, 3137, 1344, 1681, 2378, 2340, 3358, 3537, 1516, 1776, 3786, 1519, 2931, 3971, 633, 1700, 3525, 1531, 1755, 3143, 1350, + 2349, 3580, 24, 2315, 3380, 1770, 3621, 3823, 685, 976 +] +private def clayworthNeighborData_chunk14 : Array (Fin 4032) := #[ + 3402, 471, 2629, 3021, 2652, 3034, 3388, 991, 3439, 3820, 18, 2961, 3352, 1550, 3594, 3814, 2210, 2690, 3972, 577, 1148, 2597, 522, 1363, 2362, 1742, 3154, 3234, 997, 2695, + 4022, 634, 1139, 3055, 1016, 1509, 3813, 3057, 3345, 3541, 525, 2343, 2598, 1762, 2224, 3214, 1563, 3432, 3835, 2625, 2974, 3390, 1373, 1685, 3571, 1510, 2885, 3164, 41, 1105, + 2570, 2190, 2696, 3638, 309, 1569, 2901, 1694, 2415, 3006, 39, 2406, 3004, 281, 1570, 3597, 503, 1093, 3018, 676, 980, 2706, 670, 3175, 3257, 455, 559, 1382, 224, 3252, + 3418, 561, 2666, 3497, 1721, 2968, 3516, 221, 1578, 2897, 262, 661, 2712, 453, 1143, 2412, 450, 552, 2675, 697, 3230, 3405, 2657, 2996, 3518, 192, 1584, 3441, 196, 2940, + 3974, 610, 1709, 3507, 62, 2350, 2607, 1761, 2203, 3604, 1004, 1482, 3990, 621, 3048, 3575, 275, 2740, 3606, 46, 1109, 2427, 476, 1403, 2405, 259, 657, 3194, 609, 2604, + 3498, 242, 2209, 3997, 538, 2619, 3504, 235, 2218, 3208, 388, 570, 3201, 194, 1024, 3511, 743, 1393, 2355, 645, 1264, 1723, 384, 642, 2039, 186, 1028, 2345, 668, 1708, + 3207, 220, 1387, 2364, 750, 1384, 3199, 1257, 1664, 2932, 74, 843, 2847, 330, 1311, 2059, 728, 1333, 2094, 111, 1228, 2832, 745, 2986, 3161, 1262, 2888, 4008, 1591, 1995, + 2143, 139, 612, 2520, 197, 496, 1394, 1720, 1767, 3218, 108, 1559, 2020, 164, 587, 2093, 102, 695, 1243, 722, 2087, 2346, 489, 1405, 2542, 1699, 1774, 2175, 1227, 2877, + 4031, 766, 1305, 2995, 199, 1053, 2366, 413, 647, 3228, 597, 2514, 3183, 1557, 2165, 2898, 434, 551, 4011, 1056, 2945, 3479, 2977, 3155, 3468, 558, 2882, 4017, 357, 588, + 2084, 101, 868, 1548, 871, 1746, 3239, 247, 358, 475, 1790, 2478, 2841, 459, 1341, 3850, 1067, 2972, 3866, 427, 2480, 4018, 548, 877, 1547, 364, 599, 3492, 367, 460, + 1296, 878, 1752, 2869, 1343, 2949, 3853, 2473, 2879, 4029, 416, 2007, 2459, 167, 1074, 3889, 1407, 2535, 3176, 1696, 2137, 2904, 123, 663, 2005, 173, 2106, 2352, 523, 1572, + 2887, 631, 3174, 3467, 215, 379, 3477, 557, 890, 3258, 174, 2558, 3880, 1996, 2128, 2444, 494, 2537, 3887, 1769, 2173, 2443, 205, 452, 1581, 258, 2641, 3351, 78, 1656, + 3461, 708, 3100, 3780, 448, 3792, 3908, 2170, 2660, 3458, 758, 1575, 3826, 284, 1644, 3511, 91, 1635, 3304, 754, 2478, 3077, 138, 823, 2702, 429, 1375, 1936, 97, 1397, + 1981, 175, 2715, 3105, 112, 3313, 3722, 382, 2473, 3123 +] +private def clayworthNeighborData_chunk15 : Array (Fin 4032) := #[ + 2266, 3157, 3936, 1130, 1336, 2123, 261, 1659, 2384, 724, 1582, 2979, 172, 2289, 3904, 1315, 1974, 2148, 166, 3073, 3830, 98, 1970, 3484, 1102, 1600, 2429, 720, 3000, 3187, + 380, 2736, 3114, 106, 1369, 3725, 263, 2645, 3479, 477, 1594, 3837, 1136, 1311, 3274, 2253, 2450, 3191, 218, 368, 498, 2654, 3340, 3752, 3290, 3355, 3759, 241, 361, 2494, + 441, 1295, 1940, 165, 791, 2280, 804, 1547, 2959, 311, 405, 2399, 673, 2721, 2997, 1405, 2393, 3433, 2681, 3452, 3761, 362, 491, 691, 239, 780, 2287, 414, 1289, 3336, + 420, 1360, 2421, 789, 2722, 2953, 1407, 3454, 3738, 371, 682, 2730, 480, 645, 3954, 2151, 2669, 3443, 1115, 1632, 3311, 765, 2471, 3141, 187, 3796, 3933, 1924, 2157, 3463, + 232, 2250, 2456, 1333, 3277, 3342, 279, 401, 3330, 202, 779, 1572, 1121, 2158, 3434, 668, 3153, 3947, 1122, 2431, 3440, 641, 2975, 3196, 516, 1604, 2302, 322, 2455, 3631, + 807, 1521, 3523, 1787, 2140, 2328, 512, 2321, 3991, 2234, 3524, 3603, 1606, 1772, 2366, 348, 1498, 3526, 814, 966, 1515, 1715, 1728, 2117, 36, 75, 3088, 159, 1931, 3236, + 181, 792, 3245, 21, 2145, 3133, 809, 989, 3326, 1320, 1724, 2163, 597, 3773, 3982, 717, 2187, 2584, 325, 1487, 2894, 1603, 1784, 3043, 12, 3728, 3976, 726, 2212, 3246, + 55, 2113, 2356, 786, 3258, 3542, 1507, 2606, 2888, 627, 1763, 3064, 1343, 2154, 3122, 153, 830, 3305, 327, 3549, 3622, 541, 1629, 2364, 730, 982, 2578, 631, 1712, 3775, + 562, 1323, 2300, 2444, 3315, 3624, 964, 2459, 3324, 1329, 1726, 2291, 707, 1956, 3211, 11, 100, 3743, 103, 1622, 3023, 375, 1943, 2914, 430, 3061, 3126, 189, 2910, 3914, + 3306, 3647, 3930, 432, 555, 1330, 109, 2288, 3765, 713, 1941, 2440, 144, 1932, 2937, 110, 3017, 3092, 191, 3312, 3917, 425, 1341, 3076, 411, 544, 3980, 2215, 3609, 3953, + 963, 1504, 2599, 581, 1706, 1760, 23, 2334, 3970, 2221, 3239, 3574, 1705, 2282, 3737, 719, 1014, 2446, 343, 1975, 2434, 122, 1654, 2281, 2222, 2622, 3944, 396, 593, 3995, + 2601, 2932, 3951, 395, 636, 3039, 787, 1830, 2758, 733, 1319, 2070, 1081, 1189, 2888, 2493, 2684, 3085, 815, 2676, 2972, 61, 2057, 2892, 1798, 2482, 2641, 1172, 1287, 2882, + 1054, 1162, 1418, 340, 2448, 3094, 2198, 2586, 3937, 211, 2001, 3509, 230, 1038, 3487, 2179, 2609, 3109, 1076, 1421, 1736, 357, 1096, 3126, 1712, 1981, 2967, 49, 2559, 3411, + 1206, 1308, 2689, 1821, 2321, 2436, 1705, 2202, 2999, 40 +] +private def clayworthNeighborData_chunk16 : Array (Fin 4032) := #[ + 255, 3398, 2185, 2686, 3082, 239, 1058, 2894, 1174, 2534, 2721, 1973, 2325, 2486, 1102, 2603, 3092, 1032, 1780, 3472, 1298, 2051, 2903, 806, 1811, 2654, 1428, 2521, 3430, 351, + 1691, 1936, 793, 1111, 2781, 708, 1735, 2061, 758, 1430, 1730, 364, 1090, 2756, 217, 2005, 3421, 1710, 2189, 3905, 1792, 2364, 3955, 1281, 2035, 2716, 1579, 2309, 2595, 2739, + 3519, 3624, 1746, 2074, 3627, 831, 1100, 1576, 1675, 2774, 3932, 707, 2039, 3392, 2044, 2693, 3481, 2355, 2575, 3946, 1752, 3517, 3633, 1115, 1585, 2592, 808, 1599, 2951, 50, + 2063, 3634, 1165, 1445, 2515, 336, 1951, 2452, 2191, 2648, 2949, 63, 232, 2907, 376, 1676, 2806, 726, 1462, 3451, 710, 1338, 1989, 1851, 2755, 3909, 43, 2536, 3645, 1597, + 1983, 2946, 2543, 2730, 3647, 1586, 1945, 2359, 68, 1404, 2822, 749, 1766, 2952, 231, 1253, 3661, 1689, 2125, 3594, 64, 3036, 3633, 1185, 2968, 3668, 1365, 1717, 3631, 734, + 1236, 3670, 238, 469, 1226, 1332, 1683, 2134, 1424, 2634, 3983, 2065, 2254, 3580, 216, 2267, 3582, 1469, 2149, 2671, 233, 465, 1887, 1288, 2166, 2571, 3031, 3245, 3338, 1157, + 2519, 3959, 721, 1270, 3094, 1399, 1673, 2385, 2668, 3063, 3365, 1180, 2273, 3909, 2122, 2662, 3597, 210, 2288, 3658, 1238, 2524, 3126, 1667, 2389, 3217, 1458, 2132, 2606, 254, + 1909, 3544, 761, 2996, 3702, 93, 1361, 3624, 453, 2551, 3925, 1298, 3236, 3341, 114, 2605, 2845, 1787, 1917, 2946, 508, 1772, 1872, 1282, 2596, 2820, 2069, 2274, 3955, 2661, + 3348, 3977, 1349, 2428, 3981, 725, 2099, 3075, 1462, 1634, 2373, 2698, 3101, 3550, 1919, 2714, 2951, 107, 1608, 2618, 2838, 3382, 3971, 1738, 2103, 3964, 2108, 3078, 3537, 1428, + 2419, 3994, 1881, 2701, 3572, 1412, 1614, 2599, 96, 1652, 3015, 1194, 2737, 2962, 503, 1229, 2501, 1304, 1670, 3221, 2683, 3013, 3610, 1153, 2282, 3685, 1287, 2870, 3350, 499, + 1765, 3921, 740, 1775, 2053, 1395, 2819, 3990, 1203, 2498, 2728, 1630, 3010, 3257, 2503, 2735, 3076, 1657, 2423, 3230, 938, 1715, 2886, 207, 1624, 3469, 299, 1192, 3196, 799, + 3225, 3572, 956, 2857, 3554, 168, 319, 1630, 1697, 3253, 3528, 306, 3198, 3505, 1199, 1386, 3187, 547, 824, 3219, 75, 2040, 3949, 1332, 1800, 3895, 1177, 1310, 3861, 110, + 777, 2015, 1190, 1377, 2187, 568, 803, 2635, 2564, 2834, 3651, 147, 3429, 3735, 1487, 3177, 3496, 1665, 2421, 3209, 91, 2614, 2840, 153, 3436, 3852, 105, 821, 3550, 305, + 1215, 3876, 1481, 3184, 3740, 2399, 3203, 3652, 783, 2000 +] +private def clayworthNeighborData_chunk17 : Array (Fin 4032) := #[ + 2670, 1171, 1337, 2188, 317, 1652, 3482, 947, 1706, 3534, 1349, 3412, 3767, 512, 2610, 3654, 944, 2669, 2909, 201, 1662, 2197, 195, 1345, 2212, 556, 2660, 2884, 1794, 3448, + 3863, 76, 2580, 3940, 1692, 2377, 3934, 1498, 1816, 3503, 2021, 2403, 2435, 1294, 1494, 2107, 1660, 2104, 2231, 937, 2447, 2682, 2576, 2902, 3925, 205, 1799, 3423, 1288, 1485, + 1844, 2028, 2383, 3961, 1314, 2092, 2199, 2004, 2441, 2663, 958, 2458, 2862, 175, 1617, 2083, 1395, 3178, 3717, 544, 3206, 3677, 112, 2878, 3577, 191, 296, 3851, 571, 2621, + 2934, 214, 1372, 3408, 218, 1810, 3466, 1669, 2883, 3921, 166, 2080, 3714, 2445, 2855, 3670, 1475, 2048, 3719, 2424, 2454, 3702, 745, 1002, 2457, 271, 1038, 3354, 921, 1833, + 3326, 575, 1576, 2927, 555, 1020, 2738, 1036, 1843, 2152, 552, 764, 1599, 1854, 3305, 3371, 949, 1645, 3288, 213, 1583, 2890, 139, 1771, 3943, 1396, 1864, 3411, 957, 1374, + 3430, 174, 2939, 3922, 843, 927, 1636, 11, 228, 2917, 2688, 2839, 3525, 2052, 2131, 2590, 3310, 3360, 4018, 755, 1450, 1561, 155, 2720, 2828, 2137, 2612, 3455, 169, 573, + 2918, 959, 1840, 3439, 2051, 3303, 3972, 1441, 1555, 3522, 46, 2924, 3911, 844, 912, 1401, 1051, 1852, 3377, 561, 766, 1011, 1639, 2102, 2577, 215, 2818, 3575, 45, 1008, + 2485, 265, 853, 1032, 259, 868, 1611, 36, 203, 2463, 1858, 2584, 3417, 140, 1777, 2843, 746, 1459, 1763, 1880, 3363, 4011, 643, 1436, 3905, 1358, 1925, 3968, 887, 1026, + 1943, 58, 694, 1001, 1754, 2493, 2830, 269, 1863, 2622, 1352, 1908, 4000, 1413, 1760, 3962, 855, 1378, 1975, 39, 662, 3932, 644, 1022, 2692, 1047, 1922, 2159, 1658, 2070, + 3282, 247, 1574, 3543, 176, 562, 2731, 1834, 2175, 3432, 204, 2448, 2824, 278, 1646, 2620, 282, 1874, 3343, 752, 1743, 2495, 1927, 2077, 2150, 669, 2717, 3548, 1948, 2054, + 3997, 646, 1409, 3527, 1066, 1704, 1779, 216, 335, 2458, 978, 1369, 3788, 884, 1608, 3678, 866, 1084, 3100, 222, 1347, 2216, 840, 1652, 1761, 967, 1397, 2475, 984, 1499, + 3803, 1602, 2278, 3665, 37, 1857, 3993, 180, 264, 3959, 158, 3778, 3925, 20, 3672, 3987, 1150, 1484, 3790, 1155, 2287, 3708, 2002, 3095, 3402, 1420, 2195, 2978, 962, 2464, + 3872, 483, 1624, 1729, 56, 3127, 3429, 1419, 2201, 3916, 16, 862, 3700, 1363, 3799, 3940, 968, 2996, 3840, 463, 1618, 2025, 1158, 3710, 3974, 185, 1129, 3784, 244, 1353, + 2481, 846, 1075, 1770, 1435, 1480, 2958, 2023, 2265, 3405 +] +private def clayworthNeighborData_chunk18 : Array (Fin 4032) := #[ + 1072, 1205, 1711, 254, 329, 1139, 323, 1148, 1495, 1161, 1702, 2280, 258, 1454, 3927, 44, 1914, 3412, 480, 1756, 1890, 280, 2467, 3875, 387, 497, 3977, 142, 3238, 3884, + 252, 1130, 3240, 399, 1065, 1177, 1689, 1901, 3446, 263, 333, 1449, 136, 308, 3896, 491, 1889, 4021, 162, 1136, 3247, 393, 1171, 3971, 410, 1086, 3079, 209, 2223, 3263, + 1012, 1486, 2952, 1607, 2030, 2259, 31, 889, 3077, 1350, 2239, 3915, 1683, 2303, 3414, 342, 1456, 1474, 274, 346, 2447, 1727, 1733, 1913, 2214, 3001, 3225, 397, 2008, 3074, + 2974, 3219, 3899, 406, 474, 2046, 321, 390, 619, 901, 1830, 3434, 1020, 2106, 3128, 2280, 2853, 3481, 325, 2131, 3503, 897, 1012, 1207, 602, 2836, 3519, 1022, 3103, 3419, + 2093, 3116, 3611, 1389, 2289, 2860, 2627, 3049, 3886, 209, 1983, 4023, 1981, 2081, 3989, 2301, 2630, 3881, 1732, 2105, 3596, 1401, 2283, 2426, 714, 2121, 2360, 279, 1163, 3667, + 2015, 3088, 3406, 591, 2832, 3275, 741, 2165, 2678, 1164, 3654, 3980, 2303, 2653, 3475, 977, 2049, 4004, 270, 2040, 3092, 2304, 2847, 3276, 2290, 2369, 3888, 1778, 1970, 2082, + 924, 984, 3440, 348, 625, 3496, 258, 3592, 3686, 717, 1345, 2339, 353, 413, 2386, 947, 1728, 1851, 1757, 1836, 3607, 388, 1378, 2407, 213, 3677, 3991, 724, 2646, 3054, + 611, 3032, 3310, 243, 2037, 3426, 61, 3312, 3852, 1969, 1999, 3139, 938, 1760, 3189, 25, 362, 2375, 406, 758, 3047, 247, 1802, 3648, 252, 1960, 1993, 3070, 3305, 3851, + 1771, 1963, 3145, 63, 2396, 3867, 53, 371, 2118, 929, 1173, 3161, 264, 3109, 3598, 1402, 2336, 2872, 2137, 2628, 3494, 990, 1175, 3979, 438, 726, 1377, 1829, 3586, 3707, + 197, 1839, 3425, 387, 608, 3026, 268, 1188, 3155, 31, 2115, 2348, 283, 2019, 3142, 16, 2363, 3291, 52, 72, 3849, 769, 1189, 4017, 451, 2236, 3619, 588, 1090, 3256, + 531, 3220, 3862, 1168, 2228, 2615, 57, 1095, 3231, 454, 2238, 4015, 457, 1809, 3599, 599, 1096, 2861, 392, 1460, 3964, 143, 873, 3124, 878, 3102, 3627, 436, 590, 1416, + 1822, 2753, 3610, 578, 1272, 2873, 521, 1359, 2691, 663, 2571, 3392, 467, 1950, 3978, 34, 1106, 2164, 391, 565, 1370, 2572, 3134, 3424, 408, 603, 3244, 2193, 3089, 3616, + 473, 654, 1937, 1112, 2142, 2714, 584, 1247, 1422, 871, 2810, 3633, 1172, 2200, 4008, 30, 3216, 3843, 642, 1828, 3421, 1379, 2710, 2817, 66, 1253, 3855, 826, 1196, 2786, + 813, 1849, 2785, 71, 1260, 2850, 163, 3096, 3435, 386 +] +private def clayworthNeighborData_chunk19 : Array (Fin 4032) := #[ + 1393, 3955, 14, 2136, 3945, 177, 1972, 3981, 1465, 2172, 2631, 856, 1982, 3148, 1208, 2809, 3138, 1236, 2648, 3866, 88, 1387, 3946, 160, 802, 3442, 154, 894, 1944, 1438, + 2174, 3966, 850, 2797, 3159, 1232, 1442, 2642, 518, 2676, 3853, 1183, 2581, 3144, 501, 648, 1813, 1140, 2701, 2874, 402, 537, 3237, 2206, 2583, 3132, 82, 1376, 2849, 825, + 1837, 3396, 171, 801, 3994, 8, 116, 3952, 652, 2596, 3150, 515, 2632, 2697, 667, 1980, 3163, 2129, 2626, 2703, 32, 692, 3913, 1329, 3652, 3818, 1116, 2939, 3180, 707, + 1218, 1617, 1645, 2256, 3926, 1111, 3428, 3781, 697, 1223, 1630, 1095, 1327, 2918, 273, 2880, 3173, 713, 1224, 3124, 520, 1588, 1886, 105, 2191, 2513, 110, 2517, 3167, 564, + 723, 1544, 286, 3156, 3480, 757, 2159, 3102, 1519, 2284, 2819, 1453, 2334, 3422, 1290, 2078, 2899, 630, 674, 1234, 519, 1512, 2277, 1466, 2547, 3449, 536, 710, 1621, 1093, + 2551, 3192, 2065, 2340, 2886, 596, 1240, 2842, 729, 1550, 2122, 103, 3152, 3508, 1090, 1320, 3827, 670, 1657, 3907, 292, 1465, 2321, 1482, 2838, 3086, 0, 2161, 3919, 3516, + 3702, 3809, 313, 3518, 3668, 29, 2152, 3129, 1409, 2211, 2556, 514, 1521, 1873, 580, 654, 1880, 1293, 2100, 2225, 637, 1199, 1593, 88, 987, 2110, 1002, 3473, 3777, 1211, + 2138, 3930, 50, 1498, 1916, 1441, 2208, 3709, 126, 2072, 2202, 626, 1566, 1908, 82, 1008, 3486, 1190, 1570, 2125, 1196, 2271, 3917, 993, 3413, 3804, 277, 2325, 2909, 1268, + 2829, 3080, 530, 1636, 2260, 1143, 2501, 3437, 4, 1485, 3106, 301, 1442, 3664, 1306, 2219, 3698, 43, 648, 1918, 994, 2361, 3409, 1189, 2296, 2825, 974, 2108, 2349, 592, + 1162, 2831, 756, 1416, 3433, 272, 572, 1883, 1221, 2559, 4022, 2442, 3162, 3457, 2486, 3403, 3859, 1867, 2959, 3978, 761, 2445, 3149, 517, 2536, 3988, 1267, 2557, 3114, 1513, + 3151, 3489, 2186, 2742, 3592, 906, 2255, 3729, 933, 1217, 3733, 2710, 3461, 3636, 1258, 3026, 3123, 793, 1534, 3498, 453, 2883, 3849, 1985, 2118, 2987, 567, 1806, 2545, 738, + 3158, 3380, 476, 3591, 3893, 2012, 2993, 3763, 2469, 3484, 3608, 1244, 3767, 3990, 1800, 2166, 2539, 2906, 3139, 3336, 821, 2701, 3507, 916, 1249, 3032, 563, 1868, 4005, 734, + 2454, 3438, 2017, 2141, 3113, 499, 1514, 2902, 829, 1410, 3440, 317, 1904, 3010, 319, 3015, 3132, 831, 1415, 1532, 1989, 2275, 3772, 449, 2213, 3586, 718, 2198, 3358, 533, + 1826, 2289, 149, 2725, 3362, 918, 1742, 1822, 1780, 1897 +] +private def clayworthNeighborData_chunk20 : Array (Fin 4032) := #[ + 3016, 188, 784, 3419, 481, 1432, 2196, 309, 2035, 2272, 909, 1849, 2266, 2189, 2708, 3385, 950, 1736, 3060, 145, 799, 2698, 179, 3404, 3846, 1758, 1902, 2979, 2116, 2546, + 3120, 1520, 2893, 3145, 2452, 3602, 3865, 2970, 3717, 3981, 490, 1426, 1523, 281, 2026, 3134, 287, 529, 2283, 712, 1460, 2230, 1785, 2115, 2976, 133, 2889, 3843, 1762, 1844, + 2134, 183, 2895, 3342, 991, 2320, 3265, 2130, 3081, 3623, 662, 1710, 1872, 187, 1149, 2512, 163, 312, 2354, 1159, 1709, 2158, 128, 1138, 3271, 1703, 1876, 3591, 653, 1887, + 3335, 1104, 2557, 2773, 2217, 2673, 3003, 888, 951, 1635, 649, 917, 1615, 2224, 2549, 2650, 666, 1994, 3346, 1374, 2559, 2769, 265, 366, 3487, 1210, 2846, 4020, 531, 1893, + 3612, 1092, 1298, 3282, 271, 2671, 3472, 908, 1191, 2873, 172, 2527, 2637, 643, 932, 1675, 537, 1900, 4028, 347, 1142, 1304, 1396, 2218, 2521, 655, 1609, 1997, 1722, 2151, + 3602, 160, 2365, 3292, 2868, 3336, 3998, 331, 2797, 3512, 1013, 1404, 2324, 2024, 2136, 3087, 2031, 3098, 3352, 969, 1361, 2782, 876, 919, 2850, 2664, 2988, 3476, 1319, 2976, + 3303, 550, 864, 3585, 1321, 2236, 3535, 552, 831, 1631, 818, 2033, 2174, 1406, 2358, 3552, 995, 3000, 3493, 891, 2830, 3094, 559, 867, 1656, 1326, 2238, 2944, 829, 1653, + 2010, 1368, 2227, 3555, 287, 2308, 3563, 811, 1180, 2153, 1912, 3330, 3985, 332, 1108, 2788, 184, 291, 2634, 907, 1170, 1700, 975, 2809, 3500, 2824, 3085, 3380, 832, 3075, + 3642, 1016, 2979, 3322, 817, 1153, 3992, 309, 361, 3569, 575, 808, 4030, 368, 1342, 3546, 1273, 1680, 3476, 2510, 3165, 3200, 711, 3683, 3797, 1117, 1213, 2171, 1828, 2147, + 3460, 759, 917, 3168, 1202, 1718, 2112, 732, 3244, 3704, 3642, 3663, 3812, 1088, 1168, 3035, 49, 873, 3774, 794, 1015, 1071, 981, 1064, 3806, 26, 880, 1138, 3623, 3821, + 3937, 1120, 1605, 3056, 421, 1815, 3347, 340, 953, 2703, 206, 3256, 3679, 1156, 1362, 1668, 47, 1804, 3334, 926, 972, 2697, 13, 1092, 2156, 706, 996, 3793, 226, 370, + 3701, 422, 1206, 1368, 874, 1131, 1651, 1073, 3833, 3946, 709, 3136, 3259, 1684, 2144, 3510, 374, 2723, 3620, 428, 3042, 3353, 1261, 1601, 3472, 2530, 3140, 3918, 2529, 3630, + 3938, 1252, 1628, 3050, 781, 983, 2741, 40, 3331, 3736, 1383, 1714, 3758, 219, 808, 3235, 560, 892, 1385, 234, 1037, 2905, 2941, 3186, 3931, 545, 1633, 3517, 1233, 3337, + 3730, 778, 2544, 2719, 240, 817, 1034, 894, 1390, 3753 +] +private def clayworthNeighborData_chunk21 : Array (Fin 4032) := #[ + 1050, 2943, 3952, 554, 883, 1642, 546, 1813, 3506, 932, 2896, 3179, 324, 3629, 3657, 443, 1172, 3022, 10, 1803, 2168, 727, 913, 971, 1237, 3041, 3381, 2538, 2744, 3595, + 815, 2523, 3232, 1246, 1725, 3751, 336, 941, 2911, 394, 526, 1847, 225, 381, 2933, 431, 539, 1406, 1829, 3329, 3538, 605, 2527, 3178, 931, 1774, 2335, 1277, 2235, 2576, + 1393, 2211, 3522, 608, 1773, 3829, 1266, 2176, 3335, 952, 1767, 3163, 911, 2360, 2745, 1232, 2621, 3501, 1106, 1157, 3268, 120, 227, 1079, 207, 1045, 2324, 1127, 1207, 2613, + 2348, 2733, 3983, 1517, 2623, 3492, 1354, 1933, 2451, 1332, 3089, 3811, 927, 2256, 3150, 146, 1220, 3346, 1159, 1391, 2438, 1036, 3102, 3791, 1175, 2220, 2591, 1060, 1739, 2320, + 949, 1340, 2260, 152, 1270, 1960, 1146, 1530, 2585, 201, 2341, 3994, 576, 1786, 3184, 2208, 3356, 3527, 1310, 2705, 3093, 1930, 2457, 3486, 1506, 1836, 3544, 580, 2552, 4000, + 2531, 2724, 4003, 1529, 1848, 3477, 108, 1047, 3129, 1180, 2435, 3318, 167, 3325, 3367, 96, 2301, 3170, 169, 847, 1116, 223, 2244, 3662, 626, 3681, 4011, 864, 1505, 3572, + 1808, 2441, 3284, 123, 2505, 3117, 99, 248, 2290, 174, 1095, 3314, 245, 3682, 4017, 867, 1089, 1473, 875, 1370, 3528, 619, 3690, 3807, 905, 1297, 2718, 1236, 1967, 3513, + 1154, 1384, 2232, 1035, 1764, 3785, 1823, 2485, 3473, 2511, 2709, 3108, 64, 2549, 3169, 1812, 3280, 3386, 1304, 3696, 3832, 881, 1357, 1946, 1342, 2294, 3675, 190, 858, 1969, + 1325, 1559, 2568, 1225, 3345, 3743, 219, 1955, 2119, 2299, 2640, 3154, 1281, 1684, 2275, 194, 1885, 3364, 2240, 2584, 3175, 206, 1241, 1976, 1935, 2072, 2114, 2685, 3065, 3160, + 147, 2313, 3984, 948, 1143, 1186, 1109, 1209, 2117, 134, 2677, 4029, 2066, 2135, 3949, 464, 2687, 3042, 1026, 1720, 2803, 547, 1496, 1899, 1235, 1951, 3859, 15, 2578, 3182, + 181, 1031, 1695, 1100, 1534, 1888, 131, 2284, 2655, 204, 1124, 2140, 561, 1973, 3865, 35, 2793, 3177, 468, 2649, 4018, 1182, 2167, 3961, 200, 1269, 3349, 1338, 2272, 2612, + 527, 1524, 2089, 1032, 2812, 3060, 504, 1337, 1538, 3358, 3768, 3905, 2087, 3747, 3962, 479, 1544, 3022, 926, 1111, 1532, 153, 1042, 2319, 26, 2326, 2567, 958, 1222, 3878, + 43, 328, 4022, 257, 1160, 3880, 301, 3385, 3937, 327, 492, 1314, 1048, 1563, 2330, 913, 1489, 3721, 920, 1166, 3887, 49, 2307, 3988, 314, 1204, 3938, 322, 485, 3972, + 338, 1313, 1701, 313, 1860, 3373, 538, 1929, 2110, 2814 +] +private def clayworthNeighborData_chunk22 : Array (Fin 4032) := #[ + 3038, 3198, 137, 1680, 2296, 215, 1099, 1856, 1076, 1550, 3016, 1502, 2094, 3727, 956, 1219, 3765, 1548, 2317, 2562, 290, 544, 1906, 344, 1708, 2794, 289, 555, 3903, 32, + 372, 2800, 961, 2735, 4010, 754, 866, 1953, 1167, 2173, 2209, 42, 115, 3162, 62, 3697, 4028, 1968, 2166, 3471, 51, 106, 967, 736, 2162, 2218, 1178, 2177, 2420, 69, + 2031, 3185, 1675, 1741, 3210, 770, 3287, 3729, 791, 1155, 3266, 1738, 3146, 3213, 1165, 2398, 3858, 2022, 2629, 3176, 1296, 1551, 3658, 1488, 1870, 3487, 704, 2227, 3387, 97, + 978, 1053, 1311, 3240, 3695, 782, 1492, 3512, 48, 3149, 3226, 780, 1161, 2128, 1898, 2181, 3366, 65, 1030, 1579, 1765, 2679, 3183, 1174, 3271, 3864, 747, 1962, 2116, 60, + 988, 4019, 1503, 1883, 2430, 1300, 1562, 2047, 2684, 2726, 4016, 865, 1954, 3842, 833, 2385, 3847, 2003, 2675, 2747, 776, 1509, 3742, 1336, 1676, 3247, 999, 1028, 1685, 733, + 3372, 3748, 1046, 1447, 1782, 695, 3269, 3338, 657, 1934, 3848, 1449, 2641, 4009, 1324, 1687, 2725, 877, 1516, 3769, 3319, 3365, 3733, 1078, 1700, 1750, 661, 3292, 3892, 1454, + 1748, 2645, 1470, 3674, 4030, 700, 1947, 3465, 1904, 2204, 2392, 92, 1585, 2024, 41, 3249, 3688, 795, 2132, 3491, 1317, 2009, 2732, 890, 1528, 2428, 708, 889, 3757, 1018, + 1719, 2698, 691, 1890, 3509, 1432, 1571, 3661, 645, 1889, 3375, 1027, 1426, 1568, 1025, 3120, 3874, 1124, 1728, 3229, 1231, 2237, 2657, 602, 828, 1202, 945, 1152, 3882, 2230, + 3232, 3562, 830, 1031, 1195, 1734, 2226, 2658, 1242, 2666, 2936, 625, 785, 2095, 1892, 3147, 3382, 85, 981, 3270, 100, 977, 1219, 586, 1867, 3172, 1229, 2805, 2915, 616, + 2086, 3628, 753, 906, 1648, 270, 1552, 3582, 1747, 2491, 2638, 196, 792, 1042, 730, 943, 3175, 94, 1556, 3561, 589, 1156, 3181, 109, 1225, 2192, 298, 2470, 2651, 242, + 820, 1634, 623, 1868, 3643, 990, 1238, 2761, 1757, 2180, 3200, 1052, 1184, 3873, 283, 1567, 2933, 744, 1627, 2111, 3099, 3594, 3854, 1133, 2808, 3204, 1145, 2783, 2895, 2067, + 3084, 3621, 81, 1573, 3267, 717, 3182, 3350, 246, 1063, 3357, 1766, 2476, 3289, 208, 458, 1911, 398, 1005, 2442, 417, 2787, 3250, 492, 3631, 3867, 714, 3118, 3331, 1105, + 1580, 3273, 996, 2469, 3283, 212, 1877, 3332, 418, 1017, 2767, 485, 1879, 3622, 507, 922, 3888, 426, 3243, 3571, 304, 2672, 2911, 798, 1614, 2088, 936, 1181, 3194, 121, + 2196, 3568, 751, 2073, 3083, 1118, 1592, 2889, 1109, 1787 +] +private def clayworthNeighborData_chunk23 : Array (Fin 4032) := #[ + 3317, 1082, 3113, 3334, 290, 432, 3580, 486, 909, 1642, 289, 411, 2479, 253, 495, 1633, 99, 1217, 3881, 373, 1329, 2006, 8, 1017, 2429, 2215, 2746, 3389, 90, 2097, + 2238, 190, 1993, 2422, 1223, 2222, 3378, 14, 376, 2418, 2, 990, 2613, 276, 2689, 3344, 1119, 2134, 3446, 1059, 3064, 3559, 974, 1080, 3043, 1144, 2115, 2745, 761, 1012, + 2591, 293, 850, 2721, 409, 2058, 2450, 158, 2519, 2833, 27, 355, 3591, 1234, 3332, 3792, 2095, 2138, 2456, 145, 1033, 2846, 2121, 2194, 2733, 994, 1055, 2384, 12, 2532, + 3612, 387, 3382, 3807, 839, 1132, 2722, 749, 968, 3040, 351, 1987, 2372, 79, 1244, 2217, 2508, 2575, 2837, 287, 437, 2439, 96, 884, 3888, 737, 1323, 1997, 738, 1312, + 2616, 300, 856, 3882, 1039, 2873, 3566, 2125, 2484, 3414, 1255, 3421, 3837, 335, 3544, 3586, 1108, 1515, 3801, 2654, 3067, 3639, 705, 2010, 2632, 107, 840, 1512, 2440, 3395, + 3900, 1295, 2861, 3561, 3052, 3538, 3607, 1104, 3396, 3839, 762, 2676, 3008, 834, 1125, 1521, 113, 1535, 2074, 152, 1999, 2638, 23, 2507, 2569, 272, 393, 3348, 2088, 2127, + 2200, 188, 1077, 2388, 312, 2434, 3891, 1315, 2595, 2852, 329, 1306, 3582, 1274, 3398, 3902, 180, 2551, 2658, 403, 1533, 2061, 2517, 2681, 3589, 390, 1522, 3829, 1345, 2780, + 3926, 1731, 1856, 3511, 60, 680, 2538, 911, 2473, 2649, 918, 1114, 2785, 659, 2037, 3473, 922, 1351, 2494, 17, 703, 1862, 62, 841, 2547, 303, 2480, 2677, 84, 1494, + 2957, 414, 1154, 3018, 441, 1160, 2537, 1485, 2630, 2966, 835, 2556, 2834, 294, 2633, 3347, 625, 1120, 2587, 728, 2045, 3747, 30, 1875, 2883, 1362, 1954, 2492, 1131, 1492, + 2574, 392, 756, 2000, 905, 1482, 2643, 418, 687, 2544, 52, 2889, 3761, 637, 1934, 2483, 2627, 2947, 3334, 1166, 2558, 2823, 665, 1885, 3477, 909, 1372, 2753, 722, 858, + 3727, 319, 616, 2572, 2757, 3387, 3907, 1734, 2874, 3461, 854, 1757, 2855, 275, 3366, 3910, 436, 712, 3021, 101, 1526, 2568, 95, 1383, 1977, 1894, 2886, 3028, 1972, 2959, + 3208, 1164, 2258, 2905, 2292, 2817, 3507, 2803, 3207, 3328, 108, 2562, 3908, 706, 1782, 3030, 1175, 2899, 3045, 80, 1950, 2970, 1179, 2264, 2844, 2953, 3202, 3357, 1103, 2794, + 3218, 2009, 2248, 3516, 24, 847, 3738, 296, 639, 2474, 899, 1137, 1509, 398, 678, 2015, 281, 2583, 3933, 711, 845, 1732, 1750, 1915, 3062, 120, 1402, 3958, 2047, 2242, + 3744, 619, 1123, 3224, 2247, 2933, 3755, 626, 1928, 3252 +] +private def clayworthNeighborData_chunk24 : Array (Fin 4032) := #[ + 195, 2753, 3036, 1681, 1920, 3872, 836, 1118, 3185, 1303, 2265, 3539, 595, 3041, 3520, 835, 3670, 3855, 221, 2293, 3526, 861, 1926, 3179, 1140, 1919, 3176, 539, 1292, 2259, + 10, 651, 2954, 771, 1610, 2084, 790, 1148, 1613, 652, 1288, 2957, 1112, 1881, 3394, 524, 753, 1307, 191, 616, 2525, 2201, 3369, 3663, 407, 1939, 3186, 196, 2249, 2430, + 623, 661, 2500, 1620, 2229, 3657, 663, 1282, 3558, 886, 1105, 1622, 396, 3197, 3379, 171, 2243, 2428, 730, 1294, 2966, 781, 1150, 3399, 838, 1949, 3875, 198, 3009, 3549, + 1903, 2239, 3376, 189, 553, 2502, 736, 2810, 3013, 1724, 3444, 3883, 1715, 1875, 3400, 523, 747, 2791, 1637, 2059, 2207, 37, 676, 2550, 22, 246, 2409, 386, 1958, 2103, + 1769, 2410, 2964, 398, 783, 1818, 1827, 3416, 3889, 739, 1770, 3059, 20, 2518, 2759, 1719, 2060, 2192, 392, 777, 2069, 13, 2416, 2981, 794, 1807, 3410, 719, 1776, 2998, + 601, 1779, 3050, 1824, 3661, 3866, 1896, 3199, 3370, 178, 560, 2246, 614, 695, 3579, 854, 1654, 3651, 558, 2499, 2770, 1669, 1894, 2237, 1685, 1979, 2071, 54, 214, 2780, + 1835, 3390, 3674, 168, 639, 1788, 411, 1841, 3388, 177, 1790, 2419, 9, 1793, 3622, 768, 1089, 2688, 2956, 3351, 3667, 1611, 1739, 3044, 1783, 1797, 2826, 121, 772, 2985, + 1764, 3019, 3590, 2694, 2971, 3383, 3330, 3686, 3800, 973, 1646, 3053, 144, 2014, 3757, 919, 2451, 3894, 2457, 3711, 3860, 159, 1627, 2041, 593, 3695, 3794, 688, 986, 1641, + 1195, 2875, 4012, 65, 456, 3911, 2356, 2707, 3333, 1575, 3054, 3613, 165, 2860, 4027, 122, 500, 3890, 184, 1612, 1740, 2955, 3673, 3856, 2312, 3356, 3956, 1167, 1582, 3047, + 681, 1648, 2018, 606, 2495, 3688, 797, 2717, 2992, 1749, 1820, 3603, 462, 3817, 3922, 963, 1201, 4024, 53, 691, 1825, 638, 800, 1146, 636, 1133, 3815, 25, 682, 975, + 478, 951, 3844, 148, 3769, 3968, 1554, 3584, 3713, 903, 2328, 2726, 1342, 1598, 1992, 2075, 2311, 2479, 600, 811, 2090, 700, 1331, 1834, 6, 3746, 4000, 505, 901, 1122, + 898, 2322, 2470, 1560, 2036, 3770, 628, 2096, 2472, 702, 1340, 1998, 1322, 1843, 2863, 98, 818, 2081, 3335, 3838, 3928, 982, 1178, 3066, 172, 1751, 2853, 109, 2990, 3901, + 19, 969, 4003, 482, 1145, 3822, 924, 1121, 2747, 3, 3643, 3745, 97, 2082, 3906, 1184, 1328, 2854, 2062, 2306, 3912, 1187, 1321, 1577, 257, 649, 3179, 1217, 2816, 3653, + 2042, 2740, 3272, 203, 2789, 3052, 261, 3055, 3091, 26 +] +private def clayworthNeighborData_chunk25 : Array (Fin 4032) := #[ + 3282, 3649, 2772, 3067, 3162, 2696, 2822, 3316, 2029, 2649, 2718, 238, 1801, 2796, 2192, 2985, 3986, 403, 1047, 3958, 409, 2017, 3924, 219, 2207, 3992, 753, 2041, 2687, 233, + 1845, 2362, 1324, 3081, 3812, 3, 1879, 2881, 2702, 2835, 3579, 2768, 3151, 3715, 1339, 2213, 3125, 22, 2908, 3954, 204, 2232, 3045, 1985, 3266, 3920, 1870, 2722, 3564, 2783, + 3721, 3815, 240, 2305, 4030, 447, 744, 2018, 2845, 3288, 3676, 284, 3046, 3185, 1858, 2662, 2913, 1336, 1827, 3787, 289, 693, 2322, 754, 1274, 3699, 747, 1261, 2664, 665, + 1823, 2343, 1079, 2885, 3908, 1280, 2196, 2990, 2968, 3171, 3734, 1031, 2854, 3520, 190, 3738, 4014, 431, 3217, 3555, 765, 3252, 3690, 179, 298, 2311, 646, 1312, 2983, 1029, + 1250, 2931, 422, 1026, 3552, 3006, 3725, 4007, 424, 767, 3230, 188, 2332, 4009, 170, 307, 3078, 15, 3224, 3681, 1864, 2643, 2745, 1807, 2808, 3822, 2220, 3018, 3097, 13, + 3271, 3965, 659, 1315, 1848, 1273, 2671, 2922, 1052, 1249, 2875, 643, 2962, 3168, 9, 1868, 3262, 176, 3075, 3821, 1883, 3260, 3576, 169, 3727, 3834, 777, 2157, 2513, 970, + 1358, 1674, 1822, 3214, 3560, 752, 3116, 3824, 2553, 3119, 3871, 1377, 1593, 3539, 731, 2133, 3131, 1704, 3227, 3583, 50, 1844, 3234, 746, 3750, 3803, 237, 1866, 2384, 1239, + 1421, 2628, 1434, 1852, 2674, 1903, 2399, 3809, 4, 1816, 2450, 590, 3771, 3790, 930, 2297, 3855, 1125, 1537, 2620, 138, 1713, 3248, 718, 2129, 2315, 2270, 2405, 3849, 1455, + 1594, 2611, 2424, 3109, 3818, 1457, 1809, 3567, 141, 1126, 3242, 738, 944, 2340, 603, 1896, 3810, 1854, 2439, 2667, 1378, 1711, 3545, 2148, 2526, 3110, 16, 1098, 2577, 910, + 2285, 3722, 609, 821, 2517, 1007, 1371, 2490, 54, 998, 2471, 610, 793, 3756, 1271, 1418, 2565, 228, 2257, 2388, 222, 2142, 2316, 175, 1223, 1690, 672, 1882, 2359, 177, + 2025, 2624, 1392, 2044, 2433, 618, 669, 2532, 213, 774, 2261, 1004, 1221, 2615, 168, 1218, 2653, 249, 1869, 2327, 2046, 2460, 2656, 624, 640, 1905, 644, 2541, 3896, 1386, + 1570, 2035, 61, 1135, 3233, 737, 923, 3759, 2412, 3082, 3893, 1448, 1581, 3558, 787, 2276, 3749, 20, 1019, 2581, 997, 1244, 1677, 209, 771, 2169, 1132, 1569, 2026, 690, + 929, 3875, 154, 1147, 2032, 683, 938, 2325, 621, 653, 1220, 770, 1815, 2627, 334, 1617, 1989, 1500, 1732, 3793, 1216, 2756, 3781, 1986, 2637, 3169, 615, 1782, 3797, 796, + 1621, 2039, 347, 1660, 3675, 1477, 1778, 2995, 311, 522 +] +private def clayworthNeighborData_chunk26 : Array (Fin 4032) := #[ + 2298, 1069, 1668, 1977, 353, 1714, 1954, 559, 1505, 2241, 368, 3638, 3696, 126, 1523, 2949, 2139, 2708, 2784, 2602, 2872, 3141, 773, 976, 1655, 622, 1748, 2454, 556, 2725, + 2752, 1978, 2851, 3164, 550, 1473, 3836, 354, 1953, 2012, 1021, 1605, 2574, 1744, 2158, 2435, 124, 1514, 2268, 362, 1707, 3588, 775, 2007, 2646, 634, 1245, 3831, 2608, 2847, + 3659, 2124, 2704, 2961, 112, 666, 1266, 1804, 2633, 3600, 1819, 3604, 3689, 105, 689, 2999, 1081, 1965, 2831, 279, 549, 2732, 292, 587, 2486, 823, 991, 1045, 225, 2258, + 2461, 985, 1664, 1897, 1916, 2639, 3645, 106, 243, 1259, 268, 687, 2744, 1054, 1800, 2825, 1013, 1060, 1693, 277, 2279, 2436, 1696, 1918, 3634, 115, 234, 2247, 197, 1248, + 2802, 1907, 2650, 3178, 1651, 2587, 3660, 1789, 2123, 3004, 571, 2781, 3827, 1921, 1991, 3137, 680, 2719, 2965, 1806, 2869, 3694, 791, 1041, 1794, 267, 612, 650, 1898, 2593, + 3187, 220, 2160, 2795, 1023, 1904, 2594, 193, 2153, 2438, 1284, 3204, 3367, 834, 1569, 3735, 1831, 2329, 2820, 609, 2050, 3612, 1280, 1518, 2053, 1564, 1861, 2320, 577, 2055, + 3206, 860, 2367, 2845, 1838, 2246, 2866, 307, 618, 3589, 100, 203, 1381, 331, 415, 676, 437, 685, 1816, 85, 1354, 3617, 830, 1833, 2269, 316, 2728, 3635, 1085, 1429, + 1517, 1677, 1858, 2222, 837, 2816, 3118, 604, 3203, 3397, 76, 1040, 1508, 686, 1686, 1879, 119, 2071, 3585, 698, 1810, 2357, 2203, 2848, 3111, 581, 1459, 3420, 1391, 2751, + 3626, 409, 809, 1854, 839, 1537, 2365, 1309, 2076, 3229, 1690, 2217, 2262, 304, 1087, 1463, 1330, 2731, 3374, 819, 1578, 3724, 828, 2244, 3739, 318, 2737, 3369, 356, 651, + 1667, 75, 228, 1055, 231, 3222, 3447, 343, 887, 3083, 942, 1403, 3394, 445, 3029, 3117, 810, 1587, 3013, 944, 1323, 2738, 237, 1077, 3352, 341, 1673, 3720, 332, 400, + 3108, 238, 1388, 3415, 447, 816, 3063, 937, 1382, 2749, 923, 1312, 1511, 1541, 1884, 3059, 2224, 2243, 2859, 298, 627, 1413, 87, 1483, 2103, 679, 1911, 2335, 297, 1049, + 3390, 1679, 2294, 3726, 375, 855, 3714, 250, 3254, 3346, 1863, 2187, 3068, 908, 1425, 1530, 2188, 3025, 3130, 907, 1468, 3399, 1811, 3302, 3846, 1693, 2727, 3542, 2489, 2661, + 3111, 1376, 3773, 3836, 1839, 3483, 3828, 125, 3134, 3529, 3270, 3762, 3793, 2644, 2695, 3090, 1751, 2462, 2634, 852, 1344, 3728, 1871, 2179, 3040, 19, 2809, 3660, 38, 2446, + 3659, 1400, 1891, 2198, 598, 1730, 2484, 869, 1403, 2504 +] +private def clayworthNeighborData_chunk27 : Array (Fin 4032) := #[ + 304, 381, 3489, 113, 511, 3951, 513, 2678, 2716, 2053, 3293, 3716, 297, 1909, 3490, 63, 104, 3942, 1379, 1912, 3838, 47, 2466, 3118, 486, 545, 2646, 373, 2099, 3766, + 1388, 2230, 2510, 579, 2440, 3684, 2706, 3096, 3523, 1830, 3283, 3806, 473, 1755, 3914, 283, 336, 863, 1817, 2519, 3869, 602, 1668, 3533, 589, 1718, 1736, 876, 2498, 3844, + 25, 2782, 3963, 302, 1865, 3043, 2076, 3057, 3264, 540, 2689, 2766, 2081, 2153, 2205, 563, 1578, 3703, 591, 1577, 3546, 1855, 2154, 2508, 267, 3023, 3862, 1667, 2804, 3948, + 517, 2786, 3671, 2049, 2182, 3051, 585, 1584, 3669, 2160, 2180, 2523, 1832, 2163, 3504, 114, 1598, 3535, 467, 1740, 2637, 351, 848, 3732, 1887, 3470, 3800, 40, 127, 3113, + 268, 888, 3894, 1686, 1742, 3941, 1670, 2746, 2760, 3034, 3323, 3843, 107, 488, 1596, 383, 2172, 3498, 495, 554, 1587, 345, 2090, 2174, 260, 377, 2477, 759, 1290, 3333, + 615, 1454, 3734, 1797, 2256, 3255, 256, 2265, 2561, 33, 3329, 3741, 1847, 2271, 2453, 740, 1419, 3766, 622, 1173, 1447, 1820, 2804, 3221, 2199, 2960, 3999, 528, 3486, 3596, + 600, 3508, 3595, 2178, 3005, 3251, 617, 1169, 2857, 846, 2760, 3217, 1250, 2617, 3802, 5, 2377, 3890, 715, 1444, 1610, 1815, 2449, 3266, 1273, 2181, 2594, 28, 3632, 3883, + 2183, 2301, 3205, 594, 3630, 3715, 1453, 1613, 2381, 1794, 3287, 3779, 859, 2994, 3260, 638, 2878, 3464, 725, 3356, 3716, 285, 2293, 2468, 1157, 2371, 3844, 1230, 2770, 3789, + 306, 354, 865, 1327, 2858, 3379, 1212, 1318, 2864, 353, 866, 2754, 532, 3611, 3872, 1246, 2231, 4024, 2462, 3272, 3977, 568, 716, 1647, 1566, 2998, 3291, 233, 1649, 3490, + 252, 2867, 3370, 299, 874, 1560, 378, 1268, 4003, 549, 1324, 3840, 543, 1640, 3513, 2964, 3278, 4021, 254, 2876, 3470, 880, 1588, 2948, 288, 1598, 2618, 42, 243, 3361, + 1207, 1466, 2390, 1799, 2776, 3798, 2204, 2303, 2593, 1, 3625, 3718, 321, 1224, 2759, 1203, 1339, 3869, 556, 727, 1317, 365, 2489, 3983, 51, 234, 2383, 1596, 2605, 3791, + 240, 1626, 2394, 1553, 3276, 3785, 833, 902, 1451, 133, 3302, 3938, 1360, 2300, 3578, 3347, 3671, 4005, 837, 3603, 3676, 129, 2292, 2679, 1434, 3703, 3988, 1364, 2302, 3912, + 1375, 1562, 3565, 2925, 3353, 4012, 1998, 3423, 3779, 17, 383, 1513, 381, 1534, 3553, 2011, 3375, 3782, 617, 1551, 3577, 2937, 3166, 3391, 1674, 2068, 3593, 727, 2635, 2955, + 1381, 2796, 3956, 779, 1423, 3984, 1701, 3637, 3830, 1511 +] +private def clayworthNeighborData_chunk28 : Array (Fin 4032) := #[ + 2636, 2990, 3366, 3650, 3805, 1496, 2257, 3521, 718, 1388, 2789, 780, 2104, 3999, 2032, 3188, 3368, 370, 638, 3554, 156, 2264, 3918, 860, 1457, 3653, 706, 1558, 2980, 1677, + 2085, 2881, 865, 925, 3196, 179, 618, 3323, 624, 1545, 3308, 900, 2914, 3153, 21, 1518, 2983, 1684, 3448, 3798, 814, 1443, 3401, 51, 2811, 3934, 125, 816, 2017, 369, + 1279, 2799, 170, 627, 1263, 89, 874, 3198, 918, 1718, 3427, 55, 3002, 3274, 60, 360, 2790, 809, 2018, 3445, 363, 636, 1256, 127, 2026, 3160, 117, 883, 3590, 161, + 1254, 2645, 712, 1400, 1549, 2092, 2938, 4024, 3609, 3655, 3780, 1490, 2270, 2647, 950, 1686, 2913, 1539, 2989, 3301, 5, 3311, 3961, 899, 1440, 3407, 716, 1235, 2660, 95, + 2064, 3587, 731, 1241, 2762, 80, 795, 2079, 1716, 1753, 3931, 720, 1340, 2602, 511, 1512, 2380, 1259, 3673, 3722, 1987, 3766, 3927, 1491, 2565, 3460, 1266, 1721, 3725, 488, + 1285, 1535, 509, 1385, 2395, 1265, 2871, 3711, 566, 1558, 1859, 138, 1041, 3359, 165, 1045, 2370, 534, 1590, 3679, 1390, 2382, 3407, 1817, 2837, 3709, 1093, 1988, 3091, 2775, + 3459, 3590, 497, 1335, 3278, 987, 1277, 1698, 1116, 1542, 2038, 1075, 2754, 3462, 1540, 3701, 3749, 1079, 1519, 2391, 491, 3272, 3638, 972, 1279, 3112, 525, 1845, 3664, 148, + 2376, 3401, 1331, 1497, 2611, 1694, 3734, 3916, 1371, 2764, 3613, 1139, 2867, 3097, 1781, 1853, 3918, 765, 2593, 3405, 767, 1355, 3418, 1759, 1855, 2833, 1084, 2760, 3344, 1089, + 1539, 1878, 974, 1678, 1871, 1301, 3298, 3353, 405, 549, 962, 150, 630, 3294, 579, 2561, 3414, 444, 1808, 3912, 1121, 1789, 1869, 757, 2766, 3389, 141, 3321, 3381, 532, + 968, 1865, 182, 598, 3395, 401, 522, 1823, 435, 1990, 3906, 582, 2588, 3510, 498, 1392, 3588, 1256, 2821, 3135, 1565, 2006, 3732, 1029, 1510, 3485, 1130, 1744, 2876, 729, + 1356, 2779, 735, 1297, 3391, 1672, 1791, 1882, 605, 3478, 3587, 389, 2013, 3110, 580, 3316, 3606, 439, 983, 3119, 272, 2392, 3693, 462, 640, 1269, 1173, 1671, 2977, 2525, + 2685, 3643, 3300, 3619, 3678, 149, 1231, 1719, 310, 2674, 3584, 684, 1692, 2978, 1188, 1595, 2986, 2496, 2640, 3412, 113, 1086, 1961, 1818, 2295, 2479, 1182, 2261, 2472, 90, + 1968, 2546, 1197, 1536, 3040, 2528, 3205, 3408, 933, 1000, 3287, 185, 527, 852, 14, 696, 2958, 260, 2628, 2898, 111, 1007, 3276, 158, 521, 2252, 77, 2500, 3628, 1169, + 1666, 2276, 34, 882, 2971, 934, 2678, 2904, 1962, 2539 +] +private def clayworthNeighborData_chunk29 : Array (Fin 4032) := #[ + 3251, 1209, 2481, 3051, 699, 1225, 1669, 276, 3616, 3705, 547, 886, 1592, 940, 1009, 3396, 2386, 3201, 3684, 482, 1247, 3037, 481, 1568, 3008, 2407, 3228, 3453, 565, 1805, + 2263, 104, 970, 1048, 306, 1070, 2919, 27, 675, 1832, 1328, 1980, 2921, 42, 2445, 3072, 1272, 3012, 3107, 1313, 3233, 3669, 973, 1042, 2409, 496, 543, 1802, 48, 1841, + 2442, 1065, 1982, 2926, 2458, 3058, 3104, 1322, 1971, 3242, 1314, 3285, 3665, 164, 1251, 3128, 836, 1580, 2992, 955, 2644, 3446, 74, 3275, 3640, 145, 1687, 2251, 986, 2414, + 3442, 490, 568, 1571, 475, 672, 1839, 317, 1063, 2430, 173, 848, 3116, 906, 1294, 3319, 33, 893, 3131, 943, 1307, 2942, 505, 1359, 2004, 2149, 2344, 2913, 1735, 3324, + 3826, 1185, 2589, 3168, 1988, 3180, 3364, 1783, 2171, 2197, 1194, 1400, 3171, 1756, 2330, 3281, 3326, 3719, 3819, 1186, 1435, 2560, 30, 2089, 3614, 282, 431, 2423, 424, 2389, + 3805, 57, 2096, 2610, 2785, 3740, 3808, 1456, 1600, 2592, 1061, 1811, 3351, 84, 2233, 2299, 654, 2317, 3294, 1200, 1375, 1712, 21, 1798, 3340, 2206, 2284, 2380, 45, 2564, + 3136, 1730, 2404, 3780, 114, 674, 3316, 1062, 1179, 1706, 1632, 2090, 2603, 433, 2794, 3776, 1733, 2156, 2353, 1379, 2038, 3192, 118, 2278, 3751, 1068, 1442, 1817, 493, 1604, + 2000, 2122, 2766, 2922, 2786, 2928, 3713, 484, 1450, 1629, 269, 2277, 2391, 17, 1795, 3641, 1397, 1691, 3605, 296, 667, 2314, 176, 1698, 2108, 397, 682, 2534, 2159, 2540, + 2779, 161, 1650, 2045, 465, 1801, 3629, 266, 2250, 2894, 305, 394, 688, 1678, 2110, 3601, 410, 2555, 2800, 170, 1643, 2099, 162, 2034, 3349, 2150, 2212, 2533, 68, 3288, + 3730, 1083, 1166, 1422, 36, 3195, 3339, 1751, 2193, 2379, 469, 1441, 1845, 2287, 2907, 3770, 303, 2351, 2914, 478, 1353, 3620, 80, 2221, 2506, 142, 1034, 3383, 125, 673, + 2543, 155, 1071, 1697, 978, 2345, 3301, 479, 1250, 1437, 163, 632, 2102, 1860, 2220, 2417, 1872, 2328, 2929, 576, 1205, 1440, 1006, 1906, 2394, 184, 611, 1258, 143, 569, + 2068, 2213, 2408, 3686, 772, 2514, 2629, 35, 248, 2487, 15, 2098, 2453, 2214, 2535, 2679, 557, 1516, 2064, 2186, 2830, 3707, 333, 2890, 3731, 1187, 1380, 2740, 159, 1264, + 3338, 402, 1001, 2381, 2631, 2927, 3718, 1167, 1365, 2444, 1910, 2235, 2647, 620, 2052, 2468, 181, 2748, 3341, 360, 408, 2378, 2223, 2554, 2843, 9, 1531, 2109, 608, 1249, + 1408, 999, 1917, 2366, 529, 1389, 2718, 330, 3658, 3737 +] +private def clayworthNeighborData_chunk30 : Array (Fin 4032) := #[ + 2350, 2849, 3308, 504, 1412, 1507, 483, 548, 1528, 2850, 3320, 3692, 236, 1361, 2455, 822, 2652, 3715, 423, 829, 1022, 224, 1243, 3375, 425, 1935, 2524, 31, 2987, 3377, + 1458, 1504, 2944, 1952, 2343, 2858, 788, 3280, 3721, 251, 457, 1374, 56, 227, 3368, 430, 818, 2503, 53, 1472, 2976, 1955, 2497, 2864, 1963, 2322, 2906, 1183, 1451, 2973, + 137, 542, 2705, 367, 2415, 3695, 1876, 2626, 2920, 635, 1161, 2443, 3295, 3685, 3765, 463, 533, 1401, 192, 501, 1230, 784, 984, 3284, 1208, 2712, 2948, 346, 1969, 2893, + 2750, 2994, 3354, 369, 446, 1946 +] +private def clayworthNeighborData : Array (Fin 4032) := + clayworthNeighborData_chunk0 ++ clayworthNeighborData_chunk1 ++ clayworthNeighborData_chunk2 ++ clayworthNeighborData_chunk3 ++ clayworthNeighborData_chunk4 ++ clayworthNeighborData_chunk5 ++ clayworthNeighborData_chunk6 ++ clayworthNeighborData_chunk7 ++ clayworthNeighborData_chunk8 ++ clayworthNeighborData_chunk9 ++ clayworthNeighborData_chunk10 ++ clayworthNeighborData_chunk11 ++ clayworthNeighborData_chunk12 ++ clayworthNeighborData_chunk13 ++ clayworthNeighborData_chunk14 ++ clayworthNeighborData_chunk15 ++ clayworthNeighborData_chunk16 ++ clayworthNeighborData_chunk17 ++ clayworthNeighborData_chunk18 ++ clayworthNeighborData_chunk19 ++ clayworthNeighborData_chunk20 ++ clayworthNeighborData_chunk21 ++ clayworthNeighborData_chunk22 ++ clayworthNeighborData_chunk23 ++ clayworthNeighborData_chunk24 ++ clayworthNeighborData_chunk25 ++ clayworthNeighborData_chunk26 ++ clayworthNeighborData_chunk27 ++ clayworthNeighborData_chunk28 ++ clayworthNeighborData_chunk29 ++ clayworthNeighborData_chunk30 +private theorem clayworthNeighborData_size : clayworthNeighborData.size = 12096 := by native_decide + +private def clayworthAdjBool (u v : Fin 4032) : Bool := + have h := clayworthNeighborData_size + let b := 3 * u.val + clayworthNeighborData[b]'(by omega) == v || + clayworthNeighborData[b + 1]'(by omega) == v || + clayworthNeighborData[b + 2]'(by omega) == v + +def clayworthGraph : SimpleGraph (Fin 4032) where + Adj u v := clayworthAdjBool u v + symm u v := by simp only [clayworthAdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [clayworthAdjBool]; revert u; native_decide⟩ + +instance clayworthDecAdj : DecidableRel clayworthGraph.Adj := + fun u v => inferInstanceAs (Decidable (clayworthAdjBool u v)) diff --git a/Archive/Meinhold1344.lean b/Archive/Meinhold1344.lean new file mode 100644 index 00000000000000..b6862a4fb0f08f --- /dev/null +++ b/Archive/Meinhold1344.lean @@ -0,0 +1,657 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Connectivity.Finite +import Mathlib.Combinatorics.SimpleGraph.Finite +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Meinhold-1344: Sabidussi coset graph Sab(G₂(2), C₃×C₃) + +The **Meinhold-1344** graph (1344 vertices, 9-regular, girth 6) is the coset graph +`Sab(G₂(2), C₃×C₃)` with `1344 = 12096/9` vertices. + +Named after Nick Meinhold, co-founder of Imagineering Melbourne. + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longFile 1500 +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-! ## Generators of G₂(2) on 1344 cosets -/ + +private def meinhold1344Gen1Fwd : Array (Fin 1344) := #[ + 2, 4, 8, 12, 16, 19, 22, 25, 29, 33, 37, 40, 43, 39, 47, 50, 54, 58, 62, 66, 0, 69, 73, 77, 79, 83, 86, 87, 14, 92, + 96, 100, 103, 106, 108, 109, 110, 113, 117, 118, 120, 124, 127, 131, 135, 1, 138, 140, 144, 146, 150, 153, 154, 6, 157, 161, 165, 168, 171, 173, + 174, 175, 178, 182, 185, 188, 192, 196, 200, 203, 206, 90, 91, 82, 214, 218, 221, 224, 227, 24, 230, 21, 233, 52, 238, 242, 246, 250, 254, 257, + 148, 81, 20, 262, 204, 268, 217, 273, 274, 275, 278, 212, 281, 284, 288, 291, 294, 296, 298, 301, 305, 309, 312, 315, 80, 321, 324, 327, 331, 333, + 336, 339, 10, 342, 346, 349, 351, 355, 357, 358, 61, 362, 366, 369, 371, 374, 377, 380, 383, 205, 149, 388, 392, 395, 397, 399, 49, 402, 46, 249, + 27, 236, 410, 414, 417, 420, 302, 45, 424, 384, 428, 391, 433, 434, 435, 438, 386, 441, 444, 448, 451, 454, 456, 375, 460, 463, 467, 470, 344, 147, + 477, 480, 483, 18, 485, 314, 489, 491, 495, 496, 497, 36, 501, 505, 507, 367, 511, 376, 514, 516, 519, 521, 416, 72, 526, 530, 534, 537, 539, 382, + 202, 300, 545, 547, 548, 105, 551, 553, 365, 557, 269, 561, 432, 564, 568, 563, 132, 573, 575, 578, 582, 209, 472, 53, 589, 591, 129, 593, 190, 457, + 596, 598, 601, 605, 608, 389, 169, 145, 228, 28, 15, 293, 621, 207, 625, 208, 628, 143, 32, 57, 622, 636, 638, 372, 640, 431, 512, 97, 216, 646, + 648, 650, 652, 142, 656, 660, 663, 666, 669, 672, 673, 179, 679, 682, 195, 686, 31, 550, 691, 693, 694, 697, 412, 282, 700, 303, 701, 329, 704, 708, + 239, 712, 76, 717, 151, 237, 488, 35, 177, 542, 728, 730, 235, 735, 405, 739, 742, 744, 746, 747, 749, 579, 599, 754, 614, 757, 758, 761, 764, 766, + 64, 590, 769, 771, 772, 41, 774, 775, 612, 778, 271, 597, 455, 783, 737, 773, 234, 787, 788, 790, 791, 311, 401, 707, 796, 719, 800, 762, 803, 805, + 286, 353, 706, 810, 812, 427, 421, 258, 815, 817, 107, 259, 820, 252, 823, 617, 825, 826, 777, 828, 831, 832, 248, 71, 836, 459, 840, 842, 843, 170, + 845, 630, 504, 850, 429, 804, 272, 855, 193, 858, 860, 861, 677, 210, 316, 866, 867, 297, 869, 871, 874, 876, 879, 215, 104, 78, 400, 7, 453, 887, + 890, 626, 888, 513, 896, 509, 898, 162, 390, 645, 903, 602, 734, 75, 743, 908, 616, 912, 577, 917, 918, 114, 580, 624, 134, 927, 56, 767, 931, 932, + 933, 936, 244, 442, 581, 461, 939, 334, 716, 407, 711, 738, 84, 406, 348, 60, 112, 792, 951, 952, 345, 627, 956, 654, 958, 959, 961, 862, 872, 966, + 884, 969, 970, 789, 870, 295, 976, 977, 978, 759, 979, 469, 229, 943, 982, 785, 972, 985, 986, 446, 493, 942, 989, 990, 267, 256, 782, 618, 172, 681, + 419, 995, 996, 993, 558, 894, 1001, 285, 1005, 1009, 913, 922, 543, 1014, 957, 983, 394, 797, 1020, 883, 222, 1023, 1024, 613, 396, 1027, 920, 322, 675, 478, + 1033, 802, 354, 1034, 1036, 685, 1000, 1041, 141, 964, 1045, 337, 1047, 364, 1050, 1052, 464, 347, 841, 835, 680, 856, 1057, 1058, 1059, 824, 528, 559, 527, 1063, + 705, 89, 270, 1065, 328, 231, 1004, 499, 447, 1067, 1068, 1069, 167, 458, 1071, 667, 935, 1074, 981, 335, 807, 868, 839, 191, 544, 308, 1080, 609, 753, 657, + 755, 1072, 813, 1090, 1092, 1093, 85, 914, 822, 1096, 549, 325, 1097, 225, 854, 1101, 586, 1103, 1104, 554, 1105, 468, 875, 600, 133, 741, 1064, 265, 1111, 476, + 503, 560, 440, 1115, 115, 101, 818, 1022, 517, 881, 359, 793, 1118, 533, 136, 94, 159, 1121, 713, 1124, 991, 1125, 70, 674, 780, 59, 506, 253, 814, 834, + 1134, 1095, 98, 864, 532, 409, 232, 1138, 658, 360, 632, 1142, 1144, 1012, 1120, 1081, 930, 102, 1152, 1153, 857, 1155, 194, 1158, 1159, 827, 93, 1160, 1162, 381, + 508, 51, 370, 1112, 665, 1129, 1030, 1132, 924, 695, 1128, 1070, 899, 1171, 1106, 801, 3, 540, 960, 794, 1139, 1174, 1078, 853, 280, 11, 748, 953, 1157, 975, + 111, 941, 164, 688, 583, 361, 475, 1165, 1180, 852, 709, 123, 948, 1182, 139, 340, 633, 183, 731, 122, 980, 919, 1079, 368, 974, 1188, 426, 1191, 954, 1017, + 726, 721, 928, 450, 1199, 584, 849, 125, 909, 882, 756, 848, 449, 219, 1207, 1208, 385, 1150, 299, 160, 350, 576, 211, 595, 715, 95, 490, 851, 604, 1211, + 886, 1214, 662, 938, 176, 781, 892, 1205, 971, 555, 611, 937, 494, 984, 126, 940, 720, 23, 703, 393, 1042, 1087, 588, 304, 571, 474, 819, 13, 423, 1228, + 1212, 529, 30, 471, 1229, 910, 1178, 1232, 944, 1233, 1011, 1114, 523, 1236, 765, 1238, 1240, 635, 1241, 445, 1091, 1245, 678, 838, 1167, 745, 220, 1032, 1043, 1249, + 926, 1076, 1251, 74, 752, 332, 1253, 1008, 1254, 306, 487, 546, 524, 923, 1258, 525, 156, 430, 1259, 356, 403, 287, 1082, 1219, 696, 795, 330, 130, 466, 1192, + 880, 965, 907, 967, 1262, 1267, 1179, 152, 668, 659, 1270, 844, 481, 223, 562, 847, 1137, 310, 603, 873, 653, 320, 1272, 180, 166, 1026, 829, 610, 498, 541, + 1108, 197, 1046, 631, 1276, 1277, 34, 255, 1281, 1269, 163, 241, 404, 1109, 806, 714, 1237, 1286, 1135, 1273, 1264, 689, 1169, 572, 1147, 1290, 515, 158, 1163, 1291, + 201, 26, 1110, 911, 1083, 1028, 1279, 683, 934, 1261, 641, 1294, 5, 837, 1282, 1117, 99, 929, 768, 500, 319, 1086, 740, 184, 724, 1089, 1263, 1297, 264, 1146, + 732, 1248, 950, 798, 687, 290, 1301, 863, 556, 186, 661, 968, 289, 1201, 620, 1213, 699, 1305, 760, 698, 187, 702, 784, 48, 865, 462, 318, 261, 1308, 998, + 55, 313, 1295, 710, 1049, 1311, 338, 1309, 1006, 1250, 1243, 379, 973, 198, 1131, 1181, 1168, 615, 999, 1222, 607, 718, 1266, 418, 452, 251, 1197, 1256, 1247, 1016, + 1048, 439, 518, 1287, 1113, 279, 830, 1148, 1280, 623, 1133, 889, 949, 725, 900, 473, 592, 1318, 1136, 1217, 895, 736, 1202, 642, 1206, 352, 1019, 1002, 1066, 1021, + 1077, 1302, 63, 1322, 1194, 1299, 946, 1226, 643, 811, 1324, 901, 317, 1085, 226, 1183, 1203, 1320, 1013, 17, 692, 1029, 1235, 422, 1007, 1164, 1003, 1037, 307, 437, + 569, 585, 1323, 1127, 552, 240, 373, 1327, 670, 1145, 1313, 1296, 1278, 411, 962, 1099, 1039, 266, 1234, 1239, 260, 1244, 44, 655, 283, 1062, 906, 1307, 1332, 536, + 128, 398, 189, 1260, 1025, 213, 1166, 425, 1316, 67, 155, 1018, 729, 1141, 1285, 1187, 247, 343, 9, 1184, 916, 119, 413, 276, 1056, 1088, 137, 1035, 538, 808, + 651, 1326, 1140, 684, 821, 733, 1268, 776, 531, 904, 492, 1055, 921, 1015, 484, 945, 1230, 263, 770, 1149, 897, 1293, 1315, 639, 1200, 1196, 1053, 292, 1186, 676, + 1051, 1189, 363, 637, 465, 116, 1252, 1231, 1176, 243, 510, 1173, 1209, 415, 486, 1044, 502, 671, 1274, 1198, 644, 1094, 727, 1275, 629, 1329, 408, 1340, 963, 1075, + 323, 1084, 1338, 566, 988, 763, 1341, 1303, 1335, 955, 68, 1265, 1161, 42, 65, 1334, 722, 341, 751, 1031, 326, 1154, 1210, 1220, 664, 891, 181, 1292, 1107, 1246, + 1227, 1116, 443, 1010, 1098, 606, 1102, 1283, 1061, 482, 1190, 199, 779, 378, 587, 1038, 878, 1060, 1054, 594, 1333, 786, 1306, 1242, 38, 1312, 1225, 1193, 1175, 1126, + 1224, 690, 1310, 277, 520, 846, 915, 1342, 750, 1223, 1221, 1215, 387, 88, 567, 1284, 1143, 1130, 121, 245, 436, 1216, 987, 905, 1319, 925, 994, 535, 649, 1257, + 1288, 1314, 1255, 1172, 1298, 1185, 1040, 1122, 1218, 1123, 1330, 1170, 479, 1325, 809, 799, 1321, 1331, 1271, 997, 877, 1119, 1156, 1073, 1300, 1195, 833, 1328, 619, 1289, + 634, 816, 1177, 893, 647, 574, 1151, 1336, 1317, 723, 947, 1304, 522, 885, 1204, 1337, 570, 565, 859, 1343, 902, 992, 1100, 1339 +] +private def meinhold1344Gen1Rev : Array (Fin 1344) := #[ + 20, 45, 0, 706, 1, 942, 53, 417, 2, 1128, 122, 715, 3, 807, 28, 250, 4, 1069, 183, 5, 92, 81, 6, 797, 79, 7, 931, 150, 249, 8, + 812, 286, 258, 9, 906, 307, 191, 10, 1254, 13, 11, 335, 1213, 12, 1102, 157, 148, 14, 983, 146, 15, 691, 83, 233, 16, 990, 446, 259, 17, 655, + 465, 130, 18, 1052, 330, 1214, 19, 1119, 1210, 21, 652, 383, 203, 22, 843, 433, 302, 23, 415, 24, 114, 91, 73, 25, 462, 606, 26, 27, 1273, 571, + 71, 72, 29, 686, 645, 775, 30, 267, 662, 946, 31, 635, 677, 32, 414, 215, 33, 370, 34, 35, 36, 720, 466, 37, 441, 634, 1175, 38, 39, 1131, + 40, 1278, 739, 731, 41, 757, 794, 42, 1110, 236, 867, 43, 226, 624, 444, 44, 644, 1136, 46, 734, 47, 548, 273, 257, 48, 247, 49, 179, 90, 140, + 50, 304, 877, 51, 52, 1120, 856, 54, 927, 646, 769, 55, 427, 910, 722, 56, 894, 582, 57, 246, 389, 58, 508, 59, 60, 61, 784, 308, 62, 281, + 893, 1226, 63, 737, 953, 64, 969, 980, 65, 1112, 238, 593, 66, 398, 682, 284, 67, 901, 1003, 1241, 68, 930, 210, 69, 94, 139, 70, 253, 255, 231, + 403, 772, 101, 1115, 74, 413, 268, 96, 75, 763, 836, 76, 530, 883, 77, 613, 1064, 78, 248, 492, 80, 575, 666, 82, 346, 312, 151, 305, 84, 300, + 1085, 911, 85, 1179, 452, 1279, 86, 1126, 382, 149, 87, 1015, 373, 657, 88, 907, 505, 89, 367, 371, 1100, 987, 93, 1157, 958, 627, 1097, 504, 95, 220, + 572, 340, 396, 97, 98, 99, 1133, 1263, 100, 1025, 714, 102, 293, 1104, 103, 517, 360, 861, 104, 972, 965, 105, 1167, 251, 106, 485, 107, 407, 108, 768, + 211, 109, 156, 295, 803, 110, 849, 1078, 595, 111, 887, 351, 112, 991, 185, 113, 404, 1062, 986, 950, 891, 115, 537, 1200, 116, 611, 1220, 117, 574, 297, + 866, 118, 845, 119, 457, 589, 120, 551, 996, 121, 735, 1217, 123, 1127, 178, 470, 124, 557, 464, 125, 770, 126, 1045, 361, 542, 127, 859, 128, 129, 640, + 669, 725, 131, 1172, 553, 218, 132, 195, 743, 133, 692, 134, 263, 1086, 135, 173, 197, 136, 1243, 1001, 137, 689, 209, 138, 159, 766, 166, 1272, 141, 245, + 428, 161, 142, 799, 526, 143, 534, 144, 1111, 145, 416, 352, 147, 860, 912, 314, 463, 459, 1196, 665, 152, 1093, 292, 1132, 153, 1183, 202, 154, 1013, 510, + 155, 366, 1073, 808, 158, 1117, 746, 365, 160, 394, 857, 265, 222, 162, 163, 164, 1280, 1079, 165, 1021, 632, 167, 453, 1232, 168, 829, 499, 578, 169, 762, + 753, 170, 1014, 418, 171, 342, 172, 239, 583, 385, 174, 455, 985, 175, 556, 1174, 868, 176, 621, 491, 177, 813, 232, 1035, 805, 726, 629, 180, 539, 1302, + 181, 882, 1239, 182, 1154, 184, 1184, 850, 306, 186, 776, 187, 1150, 500, 792, 188, 189, 190, 898, 577, 949, 192, 1186, 630, 392, 193, 656, 194, 690, 425, + 1180, 196, 266, 423, 198, 926, 199, 638, 1022, 200, 1264, 201, 1332, 822, 852, 855, 204, 568, 566, 811, 205, 1148, 664, 643, 206, 1287, 1109, 207, 1138, 208, + 707, 899, 309, 522, 594, 212, 851, 213, 214, 610, 287, 216, 1084, 217, 619, 789, 968, 219, 514, 567, 631, 221, 884, 225, 223, 1337, 1203, 1274, 224, 1080, + 1336, 804, 923, 227, 1325, 228, 771, 438, 229, 321, 442, 454, 230, 724, 755, 1081, 616, 1244, 802, 234, 331, 235, 1036, 237, 1249, 773, 240, 341, 241, 322, + 623, 242, 431, 888, 778, 243, 1235, 1010, 244, 597, 897, 790, 338, 533, 324, 1007, 436, 375, 507, 1318, 974, 252, 260, 1029, 443, 254, 421, 471, 256, 1194, + 391, 903, 670, 736, 1320, 827, 261, 1173, 262, 1163, 264, 940, 1043, 1058, 1190, 429, 269, 1324, 270, 1288, 271, 1140, 272, 890, 473, 1103, 274, 599, 668, 879, + 275, 970, 782, 276, 1224, 694, 277, 585, 878, 278, 1088, 1187, 279, 280, 653, 538, 1169, 402, 832, 282, 560, 509, 283, 937, 1143, 545, 285, 964, 723, 921, + 1261, 288, 1070, 289, 290, 699, 864, 291, 979, 976, 294, 296, 981, 798, 298, 570, 362, 353, 299, 730, 993, 460, 301, 648, 915, 774, 458, 303, 1011, 355, + 796, 751, 1216, 1329, 954, 1033, 750, 1192, 310, 1122, 311, 738, 960, 1145, 432, 313, 1041, 344, 461, 315, 952, 625, 316, 434, 317, 835, 318, 319, 716, 320, + 1268, 1218, 844, 598, 323, 600, 760, 325, 326, 489, 978, 327, 357, 1205, 328, 824, 329, 447, 948, 332, 1158, 333, 334, 345, 336, 337, 1147, 378, 339, 1242, + 654, 785, 506, 343, 982, 495, 1251, 347, 348, 483, 349, 350, 467, 641, 709, 865, 354, 527, 963, 1305, 356, 705, 541, 358, 395, 359, 914, 590, 1139, 1304, + 363, 1059, 364, 602, 658, 368, 1321, 369, 636, 806, 372, 1144, 608, 374, 565, 376, 377, 685, 379, 896, 1026, 380, 381, 1316, 659, 559, 384, 943, 833, 592, + 386, 558, 387, 388, 881, 390, 1265, 885, 761, 756, 393, 777, 729, 713, 614, 397, 561, 680, 399, 1338, 400, 401, 477, 967, 663, 984, 405, 406, 591, 408, + 484, 409, 478, 889, 410, 622, 411, 1310, 1246, 412, 870, 639, 759, 529, 480, 1333, 780, 419, 422, 1031, 420, 1225, 786, 1323, 515, 1040, 424, 1160, 426, 702, + 1034, 1061, 1340, 430, 1149, 1283, 1106, 872, 435, 758, 815, 933, 437, 520, 607, 1266, 1130, 439, 440, 741, 536, 1152, 521, 853, 698, 1285, 840, 445, 752, 947, + 676, 448, 449, 450, 938, 586, 451, 791, 783, 456, 795, 721, 501, 493, 818, 1155, 1056, 1330, 732, 1032, 962, 468, 469, 717, 748, 1209, 472, 524, 474, 475, + 708, 476, 1094, 1198, 549, 871, 479, 873, 971, 481, 482, 788, 496, 1002, 744, 719, 486, 487, 488, 490, 740, 588, 494, 525, 793, 497, 498, 1282, 1204, 502, + 503, 650, 1341, 513, 1286, 511, 512, 1309, 989, 1008, 546, 516, 1047, 1076, 576, 518, 998, 1074, 847, 519, 1233, 820, 673, 1068, 523, 1153, 1019, 749, 1121, 1046, + 528, 1049, 637, 531, 532, 1114, 895, 535, 935, 1071, 696, 1219, 837, 540, 543, 1137, 544, 1077, 1245, 1096, 1296, 547, 800, 838, 1185, 550, 902, 552, 1020, 994, + 554, 1170, 555, 1166, 1248, 1151, 1134, 562, 563, 564, 1247, 1238, 1105, 569, 626, 573, 1048, 579, 580, 581, 701, 584, 601, 1313, 587, 1199, 841, 1050, 712, 742, + 596, 675, 862, 934, 1201, 1063, 951, 801, 1135, 955, 603, 830, 604, 605, 1191, 661, 609, 612, 1234, 1095, 1342, 615, 1236, 617, 618, 620, 704, 1228, 900, 913, + 932, 628, 693, 1024, 821, 633, 1231, 945, 642, 1311, 674, 647, 1297, 1299, 649, 651, 1259, 1083, 700, 695, 1277, 1004, 697, 1030, 660, 918, 1038, 886, 667, 710, + 1142, 1123, 671, 1276, 672, 1089, 959, 924, 1027, 1159, 767, 1326, 678, 679, 1221, 681, 1312, 718, 683, 684, 687, 1212, 688, 928, 1075, 727, 1116, 834, 1006, 922, + 1301, 703, 1293, 1181, 711, 1258, 1178, 1322, 816, 876, 728, 1005, 733, 1065, 1129, 1295, 1168, 1125, 745, 1171, 1240, 747, 869, 1257, 1054, 1315, 1165, 1016, 1189, 754, + 1164, 973, 1042, 1066, 1334, 787, 1044, 764, 765, 1182, 1222, 779, 810, 975, 781, 1271, 1281, 1039, 1298, 863, 1223, 1270, 1009, 1269, 1260, 1256, 1057, 1230, 809, 814, + 1156, 1177, 817, 819, 1098, 1072, 823, 916, 825, 1099, 826, 828, 1253, 1000, 1101, 831, 1229, 1018, 961, 839, 999, 842, 1176, 846, 848, 1292, 1017, 1289, 854, 858, + 1113, 939, 874, 956, 920, 1211, 1012, 875, 1146, 909, 880, 1308, 892, 919, 1188, 1193, 904, 905, 1092, 936, 1028, 908, 944, 1237, 1275, 1124, 917, 1023, 1290, 1319, + 925, 929, 1227, 1161, 941, 992, 1091, 957, 1294, 1055, 1314, 966, 1051, 1207, 1331, 977, 1252, 1107, 988, 997, 1262, 995, 1255, 1090, 1291, 1162, 1118, 1328, 1037, 1284, + 1067, 1306, 1053, 1082, 1060, 1303, 1141, 1087, 1317, 1195, 1300, 1307, 1108, 1250, 1215, 1208, 1327, 1335, 1202, 1343, 1197, 1206, 1267, 1339 +] +private def meinhold1344Gen2Fwd : Array (Fin 1344) := #[ + 3, 5, 9, 13, 17, 11, 23, 26, 30, 34, 38, 1, 44, 0, 48, 51, 55, 59, 63, 67, 68, 70, 74, 78, 80, 84, 32, 88, 89, 93, + 97, 101, 7, 10, 2, 94, 105, 114, 33, 119, 121, 125, 128, 132, 136, 137, 139, 141, 145, 147, 151, 57, 155, 156, 158, 162, 166, 15, 18, 4, + 159, 170, 179, 58, 186, 189, 193, 197, 201, 204, 76, 207, 208, 211, 215, 219, 21, 225, 6, 152, 199, 232, 234, 235, 239, 243, 247, 251, 255, 95, + 258, 259, 92, 263, 266, 28, 271, 8, 98, 108, 279, 133, 102, 285, 289, 116, 295, 297, 280, 302, 306, 310, 313, 293, 318, 322, 36, 328, 332, 265, + 337, 340, 341, 343, 83, 350, 352, 275, 134, 359, 360, 363, 367, 31, 42, 375, 12, 381, 384, 143, 385, 389, 393, 46, 223, 14, 85, 379, 404, 405, + 345, 407, 411, 415, 418, 253, 160, 157, 425, 338, 53, 431, 16, 163, 173, 439, 194, 167, 445, 449, 181, 455, 457, 440, 257, 464, 468, 471, 453, 474, + 478, 61, 356, 484, 486, 150, 490, 492, 435, 195, 498, 499, 502, 371, 56, 65, 298, 19, 198, 24, 286, 20, 522, 523, 527, 531, 535, 387, 213, 351, + 491, 542, 496, 72, 549, 22, 552, 554, 171, 558, 104, 562, 329, 565, 569, 570, 532, 574, 576, 579, 583, 584, 586, 587, 237, 124, 592, 82, 594, 25, + 597, 400, 602, 146, 609, 611, 612, 614, 248, 615, 616, 619, 622, 52, 254, 27, 629, 632, 423, 261, 634, 91, 639, 29, 641, 39, 35, 642, 644, 330, + 649, 651, 653, 325, 657, 661, 664, 165, 670, 437, 99, 676, 680, 683, 684, 687, 688, 216, 692, 220, 518, 252, 373, 364, 536, 392, 702, 703, 705, 559, + 710, 240, 714, 647, 718, 721, 722, 723, 397, 726, 729, 724, 733, 317, 736, 740, 305, 112, 37, 748, 591, 752, 711, 755, 126, 544, 671, 762, 765, 511, + 767, 700, 770, 227, 374, 550, 581, 776, 60, 399, 40, 780, 782, 348, 709, 185, 786, 304, 123, 659, 41, 793, 324, 436, 349, 797, 801, 563, 804, 806, + 365, 192, 808, 500, 113, 130, 230, 43, 816, 377, 818, 66, 543, 821, 396, 824, 784, 720, 378, 49, 446, 45, 833, 834, 525, 792, 357, 71, 844, 47, + 846, 847, 106, 851, 169, 854, 334, 727, 528, 859, 604, 862, 768, 863, 864, 406, 149, 50, 870, 228, 650, 79, 880, 882, 512, 884, 416, 663, 885, 888, + 420, 891, 893, 90, 897, 54, 899, 900, 901, 335, 904, 905, 741, 481, 907, 909, 566, 100, 915, 277, 164, 921, 923, 924, 925, 928, 929, 390, 690, 394, + 830, 419, 510, 503, 538, 218, 940, 941, 852, 944, 408, 902, 945, 798, 946, 947, 224, 950, 567, 948, 955, 473, 463, 177, 62, 960, 773, 964, 712, 967, + 187, 839, 916, 972, 974, 815, 488, 462, 184, 822, 64, 541, 480, 276, 489, 983, 564, 561, 658, 504, 131, 987, 361, 178, 191, 402, 992, 376, 993, 838, + 994, 222, 997, 513, 998, 284, 1002, 264, 1006, 1010, 403, 319, 783, 1015, 1017, 138, 678, 69, 1021, 346, 342, 785, 1025, 314, 485, 719, 895, 794, 637, 980, + 323, 210, 73, 1035, 273, 1039, 623, 1042, 668, 1044, 429, 245, 287, 1049, 556, 1053, 217, 1055, 75, 873, 229, 1056, 577, 386, 212, 144, 353, 176, 1061, 466, + 77, 270, 260, 456, 333, 1066, 409, 221, 655, 560, 809, 813, 681, 366, 585, 231, 81, 817, 789, 781, 1075, 753, 613, 788, 883, 1079, 1081, 301, 1084, 1087, + 458, 695, 943, 1030, 241, 1094, 461, 1033, 1036, 985, 646, 551, 1098, 236, 86, 618, 1012, 546, 249, 87, 696, 1107, 291, 617, 624, 698, 1110, 598, 1112, 1069, + 1114, 459, 174, 1116, 572, 679, 636, 454, 769, 938, 1117, 517, 731, 1119, 1120, 716, 708, 877, 312, 571, 707, 96, 1127, 1082, 1130, 1041, 626, 1131, 190, 354, + 759, 127, 930, 1135, 493, 1136, 666, 1139, 1140, 395, 1141, 763, 1129, 1146, 1148, 1149, 1151, 820, 754, 988, 1154, 1156, 682, 685, 515, 283, 1147, 103, 200, 771, + 810, 691, 989, 643, 1166, 1123, 1108, 697, 1168, 424, 991, 1124, 858, 107, 841, 196, 717, 410, 610, 1172, 713, 115, 180, 300, 109, 1175, 881, 1176, 347, 206, + 369, 316, 110, 766, 1178, 1179, 1043, 308, 568, 111, 842, 267, 1122, 648, 1184, 871, 533, 516, 1185, 828, 1186, 1067, 1182, 628, 1187, 1189, 1125, 1192, 521, 1193, + 1195, 990, 1197, 320, 526, 540, 1064, 749, 595, 1203, 1204, 1040, 1206, 326, 949, 117, 307, 269, 505, 1201, 118, 910, 465, 965, 1170, 1211, 120, 1212, 662, 1159, + 122, 1215, 530, 202, 507, 205, 529, 1219, 1222, 1173, 1224, 892, 140, 209, 1121, 1029, 747, 1077, 472, 482, 725, 182, 826, 412, 1216, 981, 129, 1226, 1047, 894, + 448, 1102, 1085, 336, 911, 534, 1007, 233, 1231, 665, 1177, 292, 494, 1126, 135, 1027, 1023, 444, 1242, 426, 1161, 1246, 475, 976, 1013, 1248, 922, 479, 1062, 433, + 1221, 889, 1207, 914, 1252, 413, 447, 849, 1255, 391, 1257, 142, 600, 401, 669, 1190, 430, 422, 296, 339, 1260, 906, 853, 520, 148, 761, 975, 978, 1263, 1264, + 460, 1265, 1208, 299, 934, 1028, 1268, 303, 1032, 1249, 803, 645, 845, 238, 153, 154, 935, 1271, 451, 704, 937, 1128, 1227, 857, 580, 294, 775, 699, 1157, 829, + 953, 1273, 606, 470, 856, 161, 1251, 1278, 790, 188, 689, 1210, 912, 1282, 1283, 1284, 799, 1083, 1191, 1287, 1288, 1289, 966, 1217, 926, 827, 443, 1158, 168, 380, + 778, 931, 811, 1292, 1275, 1118, 936, 1293, 262, 1276, 573, 172, 738, 242, 631, 487, 175, 772, 1295, 1093, 1034, 855, 547, 427, 1274, 903, 1089, 1298, 1277, 1080, + 832, 1299, 1300, 812, 1060, 476, 836, 837, 1111, 961, 868, 1304, 1306, 1290, 183, 1307, 382, 1071, 1038, 633, 1046, 1031, 959, 999, 825, 244, 795, 1253, 635, 288, + 1196, 331, 1244, 1230, 452, 1183, 715, 414, 1011, 495, 590, 756, 737, 1144, 701, 1005, 290, 368, 869, 732, 1153, 514, 250, 383, 1014, 203, 876, 1026, 630, 553, + 673, 398, 835, 802, 918, 226, 524, 984, 1314, 986, 1315, 805, 1269, 1095, 467, 372, 1317, 1319, 867, 1174, 865, 578, 952, 309, 214, 920, 539, 362, 746, 1019, + 596, 1320, 734, 1258, 1270, 1171, 497, 848, 1223, 1099, 477, 728, 509, 1103, 1001, 1232, 1297, 432, 831, 256, 1313, 1324, 1072, 1220, 654, 1000, 774, 355, 840, 758, + 982, 1050, 272, 1296, 627, 963, 1250, 1090, 1088, 1328, 599, 1091, 939, 764, 1247, 607, 1237, 807, 246, 1133, 1239, 744, 932, 1329, 1218, 1105, 1330, 1316, 620, 1331, + 656, 1241, 743, 958, 1018, 1115, 979, 1325, 886, 693, 268, 537, 1009, 601, 1004, 1048, 1303, 1254, 421, 1181, 1074, 274, 1070, 1059, 1109, 417, 819, 1137, 1334, 1236, + 548, 278, 1054, 1143, 1169, 957, 1020, 1337, 1234, 1150, 675, 281, 1243, 519, 282, 777, 582, 1338, 1336, 1302, 1160, 450, 1162, 1163, 1323, 1106, 1235, 1167, 625, 1003, + 1076, 557, 344, 588, 545, 996, 706, 677, 311, 800, 1037, 672, 1339, 1202, 1052, 942, 315, 1101, 860, 1209, 951, 1024, 796, 757, 962, 1225, 751, 321, 1065, 1312, + 973, 638, 995, 660, 1205, 760, 327, 730, 1267, 745, 814, 896, 1155, 1073, 1100, 589, 358, 442, 1259, 1340, 1213, 1078, 593, 1280, 908, 750, 1097, 791, 1228, 1229, + 508, 370, 1198, 1233, 674, 694, 667, 1256, 1199, 1214, 1301, 968, 739, 1286, 506, 954, 1068, 605, 1022, 1343, 1326, 861, 388, 501, 652, 1057, 1096, 1294, 555, 1104, + 1188, 1342, 1262, 970, 1008, 735, 1266, 872, 1016, 878, 1142, 1332, 1272, 428, 1245, 874, 1092, 1113, 434, 1261, 1058, 1138, 1311, 843, 438, 1285, 1152, 1309, 1045, 441, + 1200, 1291, 1310, 890, 850, 469, 917, 575, 1145, 969, 1194, 1322, 779, 823, 1305, 971, 483, 866, 1308, 919, 933, 913, 1238, 1132, 875, 603, 621, 608, 1318, 1180, + 1321, 1051, 1240, 1341, 977, 640, 1086, 1327, 956, 1063, 1165, 1134, 887, 1333, 1281, 1335, 927, 686, 898, 742, 787, 1164, 1279, 879 +] +private def meinhold1344Gen2Rev : Array (Fin 1344) := #[ + 13, 11, 34, 0, 59, 1, 78, 32, 97, 2, 33, 5, 136, 3, 145, 57, 162, 4, 58, 197, 201, 76, 215, 6, 199, 239, 7, 255, 95, 263, + 8, 133, 26, 38, 9, 266, 116, 318, 10, 265, 340, 350, 134, 367, 12, 381, 143, 389, 14, 379, 407, 15, 253, 160, 425, 16, 194, 51, 63, 17, + 338, 181, 474, 18, 490, 195, 371, 19, 20, 527, 21, 387, 213, 542, 22, 558, 70, 570, 23, 411, 24, 586, 237, 124, 25, 146, 614, 619, 27, 28, + 423, 261, 92, 29, 35, 89, 651, 30, 98, 280, 437, 31, 102, 687, 220, 36, 392, 703, 99, 714, 722, 729, 317, 364, 37, 711, 105, 765, 770, 39, + 776, 40, 780, 348, 235, 41, 324, 661, 42, 806, 365, 500, 43, 101, 128, 824, 44, 45, 525, 46, 792, 47, 851, 139, 565, 48, 243, 49, 864, 406, + 185, 50, 79, 884, 885, 52, 53, 157, 54, 60, 156, 905, 55, 163, 440, 277, 56, 167, 928, 394, 61, 218, 941, 164, 632, 946, 567, 473, 503, 62, + 712, 170, 801, 974, 488, 345, 64, 480, 909, 65, 658, 504, 361, 66, 166, 189, 705, 67, 198, 80, 688, 68, 783, 1015, 69, 785, 719, 71, 72, 793, + 541, 73, 564, 208, 1044, 74, 287, 556, 455, 75, 289, 577, 511, 144, 466, 77, 1025, 333, 409, 560, 366, 585, 81, 817, 82, 83, 613, 234, 883, 84, + 301, 604, 943, 85, 985, 551, 1098, 86, 248, 618, 1012, 87, 291, 155, 254, 88, 1069, 174, 90, 91, 572, 259, 938, 93, 517, 119, 94, 731, 1120, 767, + 571, 96, 1082, 544, 1131, 127, 493, 439, 1141, 100, 108, 1151, 1154, 685, 515, 103, 200, 552, 989, 104, 1006, 622, 821, 113, 895, 106, 858, 107, 196, 873, + 713, 597, 109, 877, 347, 316, 110, 766, 727, 1043, 111, 1178, 648, 112, 533, 1186, 721, 313, 114, 521, 753, 1197, 115, 540, 352, 273, 763, 1206, 117, 222, + 269, 991, 118, 574, 396, 429, 813, 120, 159, 859, 121, 122, 530, 123, 1172, 150, 529, 718, 343, 354, 125, 209, 126, 566, 659, 1077, 182, 386, 1216, 129, + 130, 502, 1047, 131, 293, 360, 583, 132, 1007, 720, 1231, 193, 1035, 292, 334, 135, 507, 369, 378, 147, 929, 137, 976, 1013, 138, 140, 563, 207, 1252, 141, + 447, 849, 295, 142, 449, 669, 374, 308, 1021, 339, 241, 853, 505, 520, 148, 149, 405, 151, 460, 576, 707, 152, 803, 845, 997, 153, 416, 1135, 154, 451, + 420, 1128, 857, 258, 699, 158, 829, 953, 1273, 550, 856, 161, 1067, 839, 1278, 188, 353, 279, 1284, 165, 173, 1289, 1217, 926, 827, 168, 380, 846, 810, 169, + 1161, 888, 994, 178, 637, 171, 573, 172, 600, 631, 870, 606, 487, 472, 175, 772, 569, 1034, 176, 1295, 903, 177, 798, 471, 179, 832, 965, 1060, 180, 837, + 492, 433, 799, 1306, 183, 534, 184, 945, 486, 494, 186, 210, 187, 664, 822, 999, 212, 1056, 190, 191, 363, 1253, 192, 453, 499, 768, 1244, 784, 1230, 1062, + 452, 329, 414, 513, 1011, 684, 737, 641, 290, 1153, 863, 748, 202, 203, 1026, 384, 754, 204, 398, 786, 782, 205, 226, 736, 815, 206, 294, 1121, 454, 1046, + 755, 491, 211, 372, 325, 1174, 617, 952, 1140, 214, 335, 611, 216, 1019, 217, 1258, 554, 1171, 219, 299, 579, 497, 221, 357, 496, 223, 436, 468, 728, 224, + 225, 649, 634, 940, 227, 1297, 228, 562, 1041, 229, 894, 336, 1156, 230, 231, 584, 232, 233, 1173, 1215, 1000, 320, 236, 1222, 238, 758, 1050, 240, 627, 1090, + 852, 1123, 242, 1315, 400, 1247, 902, 1095, 1317, 244, 708, 245, 246, 592, 247, 249, 250, 623, 615, 251, 1108, 1316, 252, 546, 624, 1168, 656, 1084, 743, 256, + 1018, 944, 257, 979, 260, 988, 636, 538, 1201, 262, 1325, 264, 267, 693, 268, 881, 610, 303, 733, 270, 410, 271, 1254, 272, 1074, 578, 1110, 274, 498, 349, + 1203, 275, 778, 417, 276, 819, 666, 1236, 548, 854, 278, 326, 1181, 1020, 1234, 1150, 281, 1177, 526, 635, 282, 582, 682, 283, 284, 683, 1337, 285, 286, 910, + 448, 691, 288, 1119, 1235, 601, 620, 697, 625, 897, 331, 1004, 296, 297, 889, 298, 1176, 650, 646, 344, 300, 322, 478, 710, 302, 996, 645, 706, 304, 535, + 377, 305, 306, 307, 311, 800, 309, 397, 1061, 310, 1207, 642, 1009, 312, 1052, 1265, 314, 1002, 942, 1242, 315, 432, 1339, 1112, 1101, 1209, 1048, 796, 319, 757, + 1225, 1196, 321, 591, 678, 323, 1001, 1193, 1079, 660, 1205, 865, 327, 671, 1093, 328, 723, 330, 402, 638, 332, 689, 947, 476, 1076, 896, 337, 1155, 930, 1302, + 341, 589, 342, 522, 376, 531, 346, 1340, 593, 588, 908, 1227, 385, 351, 537, 986, 1192, 355, 463, 916, 1179, 356, 1023, 880, 358, 1031, 359, 1097, 362, 580, + 690, 932, 963, 581, 1210, 485, 368, 587, 370, 1136, 677, 373, 489, 1303, 375, 984, 802, 925, 739, 899, 450, 1068, 960, 382, 383, 1022, 966, 967, 509, 481, + 1078, 704, 730, 1283, 388, 882, 390, 391, 1057, 847, 1294, 393, 458, 862, 395, 951, 904, 893, 702, 399, 1188, 1251, 401, 403, 404, 1040, 1307, 1038, 970, 1008, + 408, 735, 1267, 559, 1275, 1314, 1016, 647, 1269, 1343, 412, 716, 413, 594, 415, 418, 1118, 1332, 419, 841, 1293, 421, 791, 422, 809, 536, 1211, 424, 1338, 426, + 427, 428, 461, 955, 430, 431, 861, 434, 1224, 435, 771, 814, 912, 1311, 843, 438, 482, 1296, 1024, 1309, 1045, 441, 836, 442, 443, 444, 924, 1336, 445, 446, + 662, 931, 1102, 1310, 874, 886, 936, 890, 639, 1092, 456, 457, 1185, 602, 459, 462, 464, 465, 469, 764, 467, 1190, 1042, 900, 1245, 470, 1328, 1145, 1113, 982, + 475, 969, 1194, 1085, 477, 773, 922, 479, 1241, 1299, 1263, 1305, 483, 1200, 484, 866, 833, 1324, 867, 1116, 539, 805, 1080, 495, 1027, 609, 1029, 501, 679, 692, + 751, 700, 506, 508, 510, 1202, 1175, 512, 514, 983, 1075, 1064, 516, 1169, 1124, 1005, 518, 816, 1264, 1122, 519, 998, 616, 834, 1014, 523, 1268, 524, 1114, 1049, + 1146, 528, 1248, 826, 1191, 532, 1017, 825, 875, 795, 603, 981, 878, 607, 950, 543, 608, 1180, 978, 545, 761, 655, 547, 726, 549, 1288, 980, 808, 1125, 553, + 1081, 1321, 1184, 555, 1142, 557, 561, 1255, 1280, 1133, 964, 568, 838, 1329, 756, 1198, 575, 741, 1246, 629, 1132, 977, 1072, 1213, 1130, 590, 1170, 797, 1221, 595, + 959, 596, 653, 917, 598, 812, 1326, 599, 1088, 956, 1087, 1091, 1276, 949, 605, 1033, 1256, 1226, 612, 1059, 1214, 1187, 811, 1063, 1259, 1105, 1165, 621, 696, 1134, + 626, 968, 628, 1277, 630, 1115, 633, 640, 935, 643, 644, 794, 732, 695, 701, 746, 823, 652, 891, 672, 654, 657, 1313, 1099, 1331, 663, 665, 1137, 1281, 667, + 668, 670, 1270, 1143, 1003, 1298, 673, 686, 674, 675, 1149, 676, 1286, 1010, 680, 1212, 681, 898, 927, 779, 1160, 830, 1162, 1163, 1341, 1330, 694, 1167, 698, 1144, + 774, 1055, 709, 789, 1039, 715, 717, 820, 724, 725, 1319, 1129, 742, 995, 734, 738, 740, 744, 1260, 745, 855, 918, 747, 749, 1300, 750, 990, 752, 1232, 1238, + 1290, 769, 1183, 759, 760, 1204, 762, 842, 872, 1189, 911, 775, 777, 1220, 1239, 781, 804, 923, 1104, 787, 1073, 840, 788, 1058, 790, 1195, 807, 892, 1228, 1229, + 993, 818, 1065, 1233, 1148, 1166, 1139, 1096, 1312, 1100, 1322, 1111, 828, 1152, 992, 1274, 831, 1094, 835, 879, 1086, 906, 844, 987, 1127, 848, 1237, 850, 1053, 1218, + 860, 1279, 1262, 868, 869, 871, 1266, 1208, 876, 1032, 1054, 887, 1272, 901, 954, 934, 939, 958, 907, 1342, 1223, 1334, 913, 914, 915, 1285, 1243, 919, 920, 921, + 973, 1291, 933, 937, 1257, 948, 1083, 1066, 957, 961, 962, 1240, 1159, 1126, 971, 1304, 972, 975, 1308, 1287, 1292, 1282, 1199, 1070, 1028, 1030, 1107, 1036, 1318, 1037, + 1051, 1320, 1301, 1164, 1071, 1117, 1250, 1327, 1089, 1103, 1106, 1109, 1271, 1333, 1138, 1335, 1158, 1147, 1157, 1182, 1219, 1323, 1261, 1249 +] + +private theorem meinhold1344Gen1Fwd_size : meinhold1344Gen1Fwd.size = 1344 := by native_decide +private theorem meinhold1344Gen1Rev_size : meinhold1344Gen1Rev.size = 1344 := by native_decide +private theorem meinhold1344Gen2Fwd_size : meinhold1344Gen2Fwd.size = 1344 := by native_decide +private theorem meinhold1344Gen2Rev_size : meinhold1344Gen2Rev.size = 1344 := by native_decide + +/-- G₂(2) generators acting on the 1344 cosets of C₃×C₃. -/ +def meinhold1344Gens : Fin 2 → Equiv.Perm (Fin 1344) + | 0 => { + toFun := fun v => meinhold1344Gen1Fwd[v.val]'(by have := meinhold1344Gen1Fwd_size; omega) + invFun := fun v => meinhold1344Gen1Rev[v.val]'(by have := meinhold1344Gen1Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + | 1 => { + toFun := fun v => meinhold1344Gen2Fwd[v.val]'(by have := meinhold1344Gen2Fwd_size; omega) + invFun := fun v => meinhold1344Gen2Rev[v.val]'(by have := meinhold1344Gen2Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + +/-! ## BFS witness words -/ + +private def meinhold1344WitnessWords (v : Fin 1344) : List (Fin 4) := + match v with + | 0 => [] | 1 => [0, 0, 2, 0, 2, 1, 2, 1, 2] | 2 => [0] | 3 => [2] + | 4 => [2, 0, 2, 0, 2, 1, 1, 2] | 5 => [0, 0, 3, 1, 3, 1, 3, 0] | 6 => [3, 0, 2, 0, 2, 1, 2] | 7 => [2, 0, 0, 3, 0, 0, 2] + | 8 => [0, 0] | 9 => [0, 2] | 10 => [0, 2, 0, 2] | 11 => [0, 0, 2, 0, 2, 1, 2, 1] + | 12 => [2, 0] | 13 => [3] | 14 => [1, 3, 1, 2, 1, 2, 1, 2] | 15 => [0, 3, 0, 2, 0, 0, 2, 0] + | 16 => [2, 1, 2, 0, 2, 0, 2] | 17 => [2, 0, 2, 0, 2, 1, 1, 3] | 18 => [1, 3, 1, 1, 3, 0, 3, 1] | 19 => [0, 3, 0, 0, 3, 1, 3] + | 20 => [1] | 21 => [0, 2, 0, 3, 1, 2, 0, 3] | 22 => [2, 1, 3, 0, 2, 0, 0, 3] | 23 => [3, 0, 2, 0, 2, 1, 3] + | 24 => [0, 2, 0, 2, 0, 2, 0, 3] | 25 => [2, 0, 0, 3, 0, 0, 2, 0] | 26 => [2, 0, 0, 3, 0, 0, 3] | 27 => [0, 0, 2, 0, 0, 2, 1, 2, 1] + | 28 => [2, 0, 3, 1, 3, 1, 2] | 29 => [0, 0, 0] | 30 => [0, 0, 2] | 31 => [1, 2, 0, 2, 0] + | 32 => [2, 0, 0, 3, 0, 0] | 33 => [0, 2, 0] | 34 => [0, 3] | 35 => [3, 1, 3, 0, 2] + | 36 => [0, 0, 3, 1, 1, 2, 0] | 37 => [0, 2, 0, 2, 0] | 38 => [0, 2, 0, 3] | 39 => [3, 0] + | 40 => [0, 0, 2, 0, 2, 1, 2] | 41 => [3, 0, 0, 3, 0, 2] | 42 => [0, 3, 0, 3, 0, 3, 1] | 43 => [2, 0, 0] + | 44 => [2, 0, 2] | 45 => [3, 0, 2, 0, 0, 3, 0, 2] | 46 => [1, 3, 0, 0, 3, 1, 3, 1] | 47 => [2, 1, 3, 0, 2, 1, 3] + | 48 => [1, 3, 1, 2, 1, 2, 1, 3] | 49 => [1, 3, 1, 1, 3, 0, 0, 3] | 50 => [0, 0, 0, 3, 1, 1, 3, 0, 3] | 51 => [3, 1, 2, 0, 0, 0, 2, 1] + | 52 => [2, 0, 3, 1, 2, 0, 3] | 53 => [3, 0, 0, 2, 0, 0, 2] | 54 => [2, 1, 2, 0, 2, 0, 2, 0] | 55 => [3, 0, 3, 0, 3, 1] + | 56 => [0, 0, 3, 1, 1, 3, 0, 0] | 57 => [0, 3, 0, 2, 0, 0, 2, 0, 3] | 58 => [0, 3, 0, 0, 2, 0, 2, 1, 2] | 59 => [2, 0, 2, 0, 2, 1, 1] + | 60 => [3, 1, 3, 1, 1, 2] | 61 => [3, 1, 2, 0, 2] | 62 => [1, 3, 1, 1, 3, 0, 3] | 63 => [0, 3, 0, 0, 2, 0, 2, 1] + | 64 => [0, 0, 0, 2, 1, 2, 0, 0, 2] | 65 => [2, 0, 0, 3, 1, 2] | 66 => [0, 3, 0, 0, 3, 1, 3, 0] | 67 => [0, 3, 0, 0, 3, 1] + | 68 => [1, 2] | 69 => [3, 1, 3, 0, 3, 0, 3] | 70 => [0, 2, 0, 3, 1, 2, 0] | 71 => [0, 3, 1, 2, 1, 1, 2] + | 72 => [1, 2, 0, 0, 3, 0, 2, 0] | 73 => [1, 2, 1, 1, 2, 1, 2, 1] | 74 => [2, 1, 3, 0, 2, 0, 0] | 75 => [0, 3, 0, 0, 0, 2, 1, 2] + | 76 => [0, 3, 0, 2, 1, 3, 0] | 77 => [0, 3, 0, 0, 2, 1, 2] | 78 => [3, 0, 2, 0, 2, 1] | 79 => [2, 1, 2, 1, 3, 0, 3] + | 80 => [0, 2, 0, 2, 0, 2, 0] | 81 => [0, 0, 2, 1, 3, 0, 2, 1, 3] | 82 => [1, 2, 1, 1, 2, 1, 2] | 83 => [0, 2, 1, 3, 0, 2, 1, 3] + | 84 => [0, 0, 3, 0, 3, 1, 3, 1] | 85 => [3, 0, 3, 0, 0, 3, 1] | 86 => [3, 1, 3, 1, 3, 1] | 87 => [0, 0, 2, 0, 0, 2, 1, 2] + | 88 => [3, 0, 0, 2, 0, 0, 0, 3, 0] | 89 => [2, 0, 3, 1, 3, 1, 3] | 90 => [2, 0, 0, 3, 0, 3] | 91 => [1, 2, 0, 0, 3, 0, 2, 0, 0] + | 92 => [1, 1] | 93 => [0, 0, 0, 2] | 94 => [3, 1, 3, 0, 3] | 95 => [2, 0, 3, 1, 3, 1] + | 96 => [0, 0, 2, 0] | 97 => [0, 0, 3] | 98 => [1, 3, 1, 3, 0] | 99 => [0, 3, 0, 3] + | 100 => [1, 2, 0, 2, 0, 0] | 101 => [1, 2, 0, 2, 0, 2] | 102 => [1, 3, 1, 1, 3, 1] | 103 => [0, 0, 0, 2, 1, 1, 3] + | 104 => [1, 3, 0, 0, 3, 0, 2] | 105 => [0, 0, 3, 1, 1, 2, 0, 2] | 106 => [0, 2, 0, 0] | 107 => [0, 0, 2, 1, 3, 0, 0, 2] + | 108 => [0, 3, 0] | 109 => [0, 3, 0, 2, 1, 2] | 110 => [0, 0, 3, 1, 1, 2, 0, 0] | 111 => [2, 0, 3, 0, 2, 0] + | 112 => [0, 2, 1, 1, 2, 0, 3] | 113 => [0, 0, 2, 1, 1, 2] | 114 => [0, 2, 0, 2, 0, 2] | 115 => [2, 1, 3, 0, 3, 0, 3, 1] + | 116 => [0, 0, 3, 1, 1, 2, 0, 3] | 117 => [0, 2, 0, 3, 0] | 118 => [3, 0, 0] | 119 => [3, 0, 2] + | 120 => [0, 0, 0, 2, 1, 2, 0, 2] | 121 => [1, 3, 1, 2, 1, 1] | 122 => [0, 2, 0, 2, 1] | 123 => [0, 0, 3, 1, 3, 0] + | 124 => [0, 3, 1, 2, 0, 3, 1] | 125 => [3, 0, 0, 3, 0, 3] | 126 => [0, 3, 1, 3, 1, 1, 3] | 127 => [0, 3, 0, 3, 0, 3] + | 128 => [0, 2, 1, 2, 0, 2, 0] | 129 => [0, 0, 3, 0, 3, 0, 0, 3, 0] | 130 => [1, 2, 0, 2, 1, 3] | 131 => [2, 0, 0, 0] + | 132 => [2, 0, 0, 2] | 133 => [1, 2, 0, 2, 0, 3] | 134 => [0, 2, 1, 2, 0, 2, 0, 2] | 135 => [2, 0, 2, 0] + | 136 => [2, 0, 3] | 137 => [3, 0, 2, 0, 0, 3, 0, 3] | 138 => [1, 3, 0, 0, 3, 1, 3] | 139 => [1, 3, 1, 3, 1, 2, 1, 1] + | 140 => [1, 2, 0, 3, 1, 2, 0, 3] | 141 => [2, 1, 3, 0, 2, 1] | 142 => [0, 0, 3, 0, 0] | 143 => [1, 2, 0, 2, 1, 1, 2, 1] + | 144 => [2, 0, 2, 0, 3, 1, 2] | 145 => [1, 3, 1, 2, 1, 2, 1] | 146 => [3, 0, 3, 0, 0, 3, 1, 3] | 147 => [1, 3, 1, 1, 3, 0, 0] + | 148 => [2, 0, 0, 3, 0, 3, 0] | 149 => [0, 0, 2, 1, 3, 0, 3, 0, 2] | 150 => [3, 0, 3, 1, 1, 3, 0, 0, 3] | 151 => [0, 0, 0, 3, 1, 1, 3, 0] + | 152 => [2, 1, 2, 1, 3, 0] | 153 => [3, 1, 2, 0, 0, 0, 2] | 154 => [2, 0, 3, 1, 2, 0, 3, 0] | 155 => [2, 0, 3, 1, 2, 0] + | 156 => [0, 3, 0, 2, 1, 3, 1] | 157 => [2, 1, 2, 0, 2, 0, 2, 0, 0] | 158 => [3, 0, 0, 3, 1, 3, 0] | 159 => [3, 1, 3, 1, 1, 3] + | 160 => [3, 0, 0, 2, 0, 0] | 161 => [3, 0, 3, 0, 3] | 162 => [2, 1, 2, 0, 2, 0] | 163 => [3, 0, 2, 0, 0, 2, 0] + | 164 => [2, 0, 2, 0, 2, 1, 3] | 165 => [0, 3, 0, 2, 1, 1, 3, 1] | 166 => [0, 0, 3, 1, 1, 3, 0, 0, 2] | 167 => [0, 2, 0, 2, 0, 2, 1, 1] + | 168 => [2, 1, 3, 0, 3, 0, 0, 2] | 169 => [3, 1, 3, 1, 3, 0] | 170 => [3, 1, 2, 0, 3] | 171 => [1, 2, 0, 2, 1, 2, 1, 2] + | 172 => [2, 0, 2, 0, 0, 3, 1, 3] | 173 => [2, 0, 2, 0, 2, 1] | 174 => [3, 1, 3, 1, 1, 2, 0] | 175 => [0, 3, 0, 3, 1, 2] + | 176 => [1, 3, 0, 2, 1, 3, 1] | 177 => [3, 0, 3, 1, 1, 3] | 178 => [1, 3, 1, 1, 3, 0, 3, 0] | 179 => [1, 3, 1, 1, 3, 0] + | 180 => [0, 3, 1, 3, 1, 2, 1, 1] | 181 => [3, 1, 2, 0] | 182 => [0, 3, 0, 0, 2, 0, 2] | 183 => [2, 1, 1, 3, 0, 2, 0] + | 184 => [2, 1, 2, 0, 0] | 185 => [3, 0, 3, 1, 1, 3, 0, 0, 2] | 186 => [0, 0, 0, 2, 1, 2, 0, 0, 3] | 187 => [3, 1, 2, 0, 0, 2] + | 188 => [2, 0, 0, 3, 1, 2, 0] | 189 => [2, 0, 0, 3, 1, 3] | 190 => [1, 2, 1, 2, 1, 2] | 191 => [0, 0, 3, 1, 1, 2] + | 192 => [0, 0, 3, 1, 3, 1, 3, 1, 1] | 193 => [0, 3, 0, 0, 3, 1, 3, 0, 2] | 194 => [0, 0, 3, 1, 1, 3, 0, 0, 3] | 195 => [2, 0, 0, 3, 1] + | 196 => [0, 3, 0, 0, 3] | 197 => [0, 3, 0, 0, 3, 1, 2] | 198 => [1, 3, 0, 0, 0, 2, 0] | 199 => [2, 1, 1, 3, 0, 3, 1] + | 200 => [1, 2, 0] | 201 => [1, 3] | 202 => [0, 0, 0, 2, 0, 3, 1, 2] | 203 => [1, 2, 0, 0, 3, 0, 2] + | 204 => [3, 1, 3, 0, 3, 0] | 205 => [1, 3, 1, 3, 1, 2, 1] | 206 => [0, 2, 0, 0, 2, 1, 3, 1] | 207 => [0, 3, 1, 2, 1, 1, 3] + | 208 => [1, 2, 0, 0, 3, 0, 2, 0, 2] | 209 => [2, 1, 3, 1, 2, 1, 3] | 210 => [2, 0, 3, 0, 0, 3, 1, 2] | 211 => [0, 3, 1, 1, 2, 0, 2, 0] + | 212 => [1, 2, 0, 2, 0, 2, 0] | 213 => [1, 2, 0, 0, 3, 0, 2, 0, 3] | 214 => [0, 0, 2, 0, 3, 1, 2, 1] | 215 => [3, 0, 0, 2, 1, 2, 0] + | 216 => [0, 3, 1, 3, 0, 2] | 217 => [0, 0, 2, 0, 0] | 218 => [1, 2, 0, 2, 1, 2, 1] | 219 => [0, 3, 0, 0, 0, 2, 1, 3] + | 220 => [1, 3, 0, 0, 3, 0] | 221 => [3, 1, 2, 1, 1, 3] | 222 => [0, 3, 0, 0, 3, 0, 2] | 223 => [2, 0, 2, 0, 3, 1, 3] + | 224 => [0, 0, 2, 1, 2, 1, 1, 3] | 225 => [0, 3, 0, 0, 2, 1, 3] | 226 => [2, 0, 0, 2, 1] | 227 => [3, 0, 2, 0, 2] + | 228 => [3, 0, 2, 0, 0, 0, 3] | 229 => [3, 1, 2, 0, 0, 3, 0] | 230 => [0, 2, 1, 2, 1, 2] | 231 => [2, 0, 2, 1, 1, 2, 1, 2] + | 232 => [0, 0, 2, 1, 3, 0, 2, 1] | 233 => [2, 0, 3, 0, 3, 0, 2] | 234 => [0, 3, 1, 2, 0, 3, 0] | 235 => [0, 2, 1, 3, 0, 2, 1] + | 236 => [0, 0, 3, 0, 3, 0, 0, 3] | 237 => [1, 2, 1, 1, 2, 1] | 238 => [0, 0, 3, 0, 3, 1, 3] | 239 => [2, 0, 2, 0, 0, 3, 1, 1] + | 240 => [0, 0, 2, 1, 2, 0] | 241 => [1, 2, 1, 3, 0] | 242 => [3, 0, 3, 0, 0, 3] | 243 => [3, 0, 3, 0, 0, 3, 1, 2] + | 244 => [0, 0, 3, 0, 3, 0, 3, 1] | 245 => [0, 0, 3, 0, 2, 1, 3] | 246 => [3, 1, 3, 1, 3] | 247 => [3, 1, 3, 1, 3, 1, 2] + | 248 => [3, 0, 2, 0, 0, 0, 3, 1] | 249 => [2, 0, 3, 1, 3, 1, 2, 1] | 250 => [0, 3, 0, 2, 0, 0, 2] | 251 => [0, 0, 2, 1, 1, 3, 1] + | 252 => [0, 0, 3, 1, 2, 0, 0, 2, 1] | 253 => [3, 0, 2, 1, 3, 0] | 254 => [0, 0, 0, 2, 1, 2, 1, 1, 3, 1] | 255 => [1, 3, 1, 2, 0, 0, 0, 3, 0] + | 256 => [0, 3, 1, 1, 2, 1, 2, 0, 3] | 257 => [2, 0, 3, 1, 3, 1, 3, 0] | 258 => [2, 0, 0, 3, 0] | 259 => [0, 2, 1, 2, 0, 2, 0, 2, 0, 0] + | 260 => [0, 3, 1, 3, 1, 3, 0, 0, 2] | 261 => [0, 0, 3, 1, 3, 1, 3, 1, 2, 0] | 262 => [0, 0, 0, 2, 0] | 263 => [0, 0, 0, 3] + | 264 => [0, 0, 0, 2, 0, 0, 0, 2] | 265 => [3, 0, 3] | 266 => [3, 1, 3, 0] | 267 => [0, 0, 3, 1] + | 268 => [2, 0, 3, 1, 3] | 269 => [1, 3, 0, 0, 3, 0, 0] | 270 => [3, 0, 2, 1, 1, 3, 1, 3] | 271 => [0, 0, 2, 0, 2] + | 272 => [0, 2, 0, 3, 1, 2, 1] | 273 => [0, 0, 3, 0] | 274 => [3, 0, 2, 1, 2] | 275 => [0, 3, 0, 3, 0] + | 276 => [2, 0, 0, 0, 3, 0, 2] | 277 => [0, 2, 1, 3, 0, 2, 0, 2, 0] | 278 => [1, 2, 0, 2, 0, 0, 0] | 279 => [1, 2, 0, 2, 0, 0, 2] + | 280 => [0, 3, 0, 2] | 281 => [1, 3, 1, 1, 3] | 282 => [0, 0, 2, 1, 1, 3, 0] | 283 => [3, 0, 0, 3, 1, 1, 3] + | 284 => [2, 0, 0, 3, 1, 1] | 285 => [0, 0, 0, 2, 1, 1] | 286 => [1, 2, 0, 2] | 287 => [0, 3, 1, 3, 0] + | 288 => [1, 3, 0, 0, 3, 0, 2, 0] | 289 => [1, 3, 0, 0, 3, 0, 3] | 290 => [0, 0, 0, 3, 0, 0, 0, 3, 0, 2] | 291 => [0, 0, 3, 1, 1, 2, 0, 2, 0] + | 292 => [1, 3, 0, 0, 0, 3, 0, 2] | 293 => [0, 0, 2, 1, 1, 3] | 294 => [0, 2, 0, 0, 0] | 295 => [0, 2, 0, 0, 2] + | 296 => [3, 0, 2, 1, 1, 2, 1] | 297 => [0, 0, 2, 1, 3, 0, 0, 3] | 298 => [0, 3, 0, 0] | 299 => [0, 3, 0, 0, 0, 3, 0, 2] + | 300 => [2, 1, 1, 2, 1, 1, 3] | 301 => [0, 0, 2, 1, 2, 0, 3] | 302 => [0, 3, 0, 2, 1, 3] | 303 => [2, 1, 2, 1] + | 304 => [0, 0, 0, 3, 1, 1, 3] | 305 => [1, 2, 1, 1, 2, 1, 1] | 306 => [2, 1, 2, 0, 0, 3, 1] | 307 => [1, 2, 0, 3, 1, 3] + | 308 => [0, 3, 1, 1, 3, 1, 2] | 309 => [0, 0, 3, 1, 2, 1, 2] | 310 => [2, 0, 3, 0, 2, 0, 2] | 311 => [2, 1, 3, 1, 2] + | 312 => [0, 2, 1, 1, 2, 0, 3, 0] | 313 => [0, 2, 1, 1, 2, 0] | 314 => [0, 0, 2, 1, 3, 0, 3, 0, 3, 1] | 315 => [0, 0, 2, 1, 1, 2, 0] + | 316 => [1, 2, 1, 1, 2, 1, 1, 3] | 317 => [0, 2, 1, 1, 2, 0, 2] | 318 => [0, 2, 0, 2, 0, 3] | 319 => [1, 3, 0, 2] + | 320 => [0, 2, 1, 3, 0] | 321 => [2, 1, 3, 0, 3, 0, 3] | 322 => [3, 0, 2, 1, 3, 1, 1] | 323 => [3, 1, 1, 2, 0, 0, 0] + | 324 => [0, 3, 1, 3, 1, 1, 2] | 325 => [0, 0, 3, 0, 2] | 326 => [0, 0, 2, 0, 3, 0, 0, 0, 3] | 327 => [0, 2, 0, 3, 0, 0] + | 328 => [0, 2, 0, 3, 0, 2] | 329 => [0, 3, 0, 0, 3, 0, 3] | 330 => [1, 3, 0, 0, 3, 0, 0, 2] | 331 => [3, 0, 0, 0] + | 332 => [3, 0, 0, 2] | 333 => [3, 0, 2, 0] | 334 => [2, 0, 2, 0, 0, 3] | 335 => [0, 3, 1, 3, 0, 0, 3] + | 336 => [3, 0, 3, 0, 0, 0, 2] | 337 => [0, 0, 0, 2, 1, 2, 0, 3] | 338 => [3, 1, 3, 1, 1] | 339 => [1, 3, 1, 2, 1] + | 340 => [0, 0, 2, 0, 2, 1] | 341 => [0, 2, 0, 2, 1, 2] | 342 => [1, 3, 1, 3, 1, 3] | 343 => [0, 0, 3, 1, 3, 0, 2] + | 344 => [2, 0, 0, 0, 2, 1, 2] | 345 => [3, 0, 3, 1, 1, 3, 0, 0] | 346 => [0, 3, 1, 2, 0, 3] | 347 => [0, 0, 0, 3, 1, 1, 2] + | 348 => [1, 2, 1, 1, 3, 1] | 349 => [3, 0, 0, 3, 0, 3, 0] | 350 => [3, 0, 0, 3, 0] | 351 => [2, 1, 3, 1, 2, 1] + | 352 => [0, 3, 1, 3, 1, 1] | 353 => [0, 0, 2, 0, 2, 0, 2, 1] | 354 => [1, 3, 0, 2, 0, 3, 1] | 355 => [0, 3, 0, 3, 0, 3, 0] + | 356 => [0, 3, 0, 0, 2, 0, 3] | 357 => [0, 2, 0, 3, 0, 0, 2, 1] | 358 => [0, 0, 0, 3, 1, 1, 3, 1, 1] | 359 => [3, 0, 2, 0, 3, 1, 2, 0] + | 360 => [1, 2, 0, 2, 1] | 361 => [0, 0, 2, 0, 2, 0, 2, 1, 1] | 362 => [2, 1, 1] | 363 => [2, 0, 0, 0, 2] + | 364 => [0, 0, 2, 1, 1] | 365 => [1, 2, 0, 2, 1, 2] | 366 => [0, 2, 1, 2, 1] | 367 => [2, 0, 0, 3] + | 368 => [2, 1, 3, 1, 1, 3] | 369 => [2, 0, 3, 0, 3] | 370 => [0, 0, 0, 3, 0, 0, 2, 0, 2] | 371 => [0, 2, 1, 2, 0, 2, 0, 2, 0] + | 372 => [0, 0, 0, 3, 0] | 373 => [1, 3, 0, 0, 0, 3, 0, 3] | 374 => [2, 0, 2, 0, 0] | 375 => [2, 0, 2, 0, 2] + | 376 => [0, 3, 0, 0, 3, 1, 2, 0] | 377 => [2, 0, 3, 0] | 378 => [3, 1, 1, 3, 0, 0] | 379 => [0, 2, 0, 2, 1, 1, 2, 1] + | 380 => [0, 0, 3, 1, 1, 3, 0, 3] | 381 => [3, 0, 2, 0, 0, 3, 0] | 382 => [2, 1, 2, 0, 0, 2, 0, 2] | 383 => [0, 3, 1, 2, 1, 1, 2, 1] + | 384 => [1, 3, 0, 0, 3, 1] | 385 => [1, 2, 0, 3, 1, 2, 0] | 386 => [0, 2, 0, 3, 0, 0, 2, 1, 3] | 387 => [0, 3, 1, 2, 1, 1] + | 388 => [2, 1, 3, 0, 2] | 389 => [3, 1, 2, 0, 3, 1] | 390 => [3, 0, 0, 2, 1, 1] | 391 => [3, 0, 3, 0, 3, 0] + | 392 => [0, 2, 0, 0, 3] | 393 => [0, 0, 3, 0, 0, 2] | 394 => [2, 0, 2, 1, 2, 1, 2] | 395 => [1, 2, 0, 2, 1, 1, 2] + | 396 => [2, 0, 2, 0, 0, 2] | 397 => [0, 3, 1, 1, 3, 1, 3] | 398 => [0, 3, 0, 2, 0, 3, 1, 3] | 399 => [1, 3, 1, 2, 1, 2] + | 400 => [1, 2, 1, 3, 0, 2] | 401 => [0, 3, 1, 3, 1] | 402 => [0, 0, 0, 3, 0, 0, 3, 1] | 403 => [1, 2, 1, 3, 0, 2, 0, 0] + | 404 => [2, 0, 0, 3, 0, 3, 0, 2] | 405 => [0, 0, 2, 1, 3, 0, 3, 0, 3] | 406 => [0, 0, 2, 1, 3, 0, 3, 0] | 407 => [0, 0, 0, 3, 1, 1, 3, 0, 2] + | 408 => [0, 3, 1, 1, 3, 0, 0] | 409 => [3, 0, 2, 0, 0, 0, 2] | 410 => [0, 0, 2, 0, 2, 0, 3] | 411 => [2, 1, 2, 1, 3, 0, 2] + | 412 => [0, 0, 0, 3, 1, 1, 3, 1, 2] | 413 => [3, 0, 0, 2, 1, 2] | 414 => [3, 1, 3, 0, 0, 3] | 415 => [3, 0, 2, 0, 2, 1, 1] + | 416 => [1, 2, 1, 3, 0, 2, 1] | 417 => [2, 0, 0, 3, 0, 0, 2, 1] | 418 => [1, 2, 1, 2, 0, 0, 2, 0, 0] | 419 => [3, 1, 2, 0, 3, 0, 2] + | 420 => [2, 0, 3, 1, 2, 0, 0] | 421 => [0, 2, 1, 2] | 422 => [3, 1, 1, 2, 0, 2, 0, 3] | 423 => [2, 1, 1, 2, 0] + | 424 => [3, 0, 0, 3, 1, 3, 0, 0] | 425 => [3, 0, 0, 3, 1, 3, 0, 2] | 426 => [0, 0, 0, 3, 1, 3, 1] | 427 => [2, 1, 2, 0, 2] + | 428 => [3, 0, 0, 2, 0, 0, 0] | 429 => [0, 3, 1, 3, 0, 0, 2] | 430 => [0, 3, 0, 2, 1, 3, 1, 1, 2] | 431 => [3, 0, 3, 0] + | 432 => [0, 3, 0, 0, 3, 0, 2, 0] | 433 => [2, 1, 2, 0, 2, 0, 0] | 434 => [1, 3, 1, 2, 0, 0, 0, 2] | 435 => [2, 0, 0, 3, 1, 2, 0, 2] + | 436 => [0, 3, 0, 2, 0, 0, 3, 1] | 437 => [1, 2, 0, 2, 0, 0, 3] | 438 => [0, 3, 0, 2, 1, 1, 3] | 439 => [3, 1, 1, 3, 0, 2, 1, 1] + | 440 => [2, 0, 2, 0, 2, 1, 2] | 441 => [0, 2, 0, 2, 0, 2, 1] | 442 => [0, 2, 0, 2, 1, 2, 1, 2] | 443 => [0, 0, 0, 2, 1, 2, 1, 3] + | 444 => [0, 2, 1, 2, 0, 2, 0, 2, 1] | 445 => [3, 0, 0, 3, 1, 3, 1] | 446 => [0, 0, 3, 1, 1, 3, 0] | 447 => [3, 0, 0, 2, 1, 1, 3] + | 448 => [2, 0, 0, 0, 2, 0, 2] | 449 => [2, 0, 2, 1, 2, 1] | 450 => [1, 2, 1, 3, 1, 1] | 451 => [3, 1, 2, 0, 3, 0] + | 452 => [3, 1, 1, 3, 0, 2, 0, 2] | 453 => [0, 2, 0, 2, 1, 2, 1, 2, 1] | 454 => [3, 0, 3, 0, 0, 0, 3, 1] | 455 => [1, 3, 1, 3, 1, 3, 0] + | 456 => [3, 0, 2, 0, 2, 0, 2] | 457 => [2, 0, 2, 0, 0, 3, 1] | 458 => [1, 3, 0, 3, 1, 1] | 459 => [1, 2, 0, 3, 1, 2, 0, 0] + | 460 => [0, 3, 1, 1, 3, 0, 0, 3] | 461 => [0, 0, 3, 1, 3, 1, 1] | 462 => [0, 0, 3, 0, 0, 2, 0, 0, 2] | 463 => [0, 0, 2, 1, 3, 0, 3] + | 464 => [0, 3, 0, 3, 1, 3] | 465 => [0, 3, 1, 1, 2, 0, 3] | 466 => [0, 0, 2, 1, 2, 1, 1, 2] | 467 => [1, 3, 0, 2, 1, 3] + | 468 => [2, 0, 3, 1, 1, 2, 1] | 469 => [1, 2, 0, 0, 0, 2, 0, 3] | 470 => [3, 0, 3, 1, 1, 3, 0] | 471 => [3, 0, 3, 1, 1] + | 472 => [0, 0, 2, 1, 3, 0, 2] | 473 => [3, 0, 3, 1, 1, 2] | 474 => [1, 3, 1, 1, 3, 0, 2] | 475 => [0, 0, 3, 1, 2, 1, 3, 0] + | 476 => [0, 3, 1, 1, 2, 1, 2, 0, 0] | 477 => [0, 3, 1, 3, 1, 2, 1] | 478 => [0, 0, 2, 1, 2, 0, 3, 0, 3] | 479 => [1, 3, 0, 0, 2, 1] + | 480 => [3, 1, 2, 0, 0] | 481 => [3, 0, 0, 2, 1, 3, 0] | 482 => [0, 0, 3, 0, 0, 2, 1, 2] | 483 => [2, 1, 3, 0, 0, 2] + | 484 => [2, 1, 1, 3, 0, 2, 0, 2] | 485 => [0, 2, 0, 0, 2, 1] | 486 => [2, 1, 2, 0, 0, 2] | 487 => [0, 0, 3, 0, 0, 2, 0, 0] + | 488 => [2, 1, 2, 0, 0, 3] | 489 => [0, 3, 0, 3, 0, 0, 2, 1] | 490 => [0, 0, 0, 2, 1, 2, 0, 0] | 491 => [3, 1, 2, 0, 0, 2, 0] + | 492 => [3, 1, 2, 0, 0, 3] | 493 => [2, 0, 0, 0, 3, 0] | 494 => [1, 3, 0, 2, 1, 3, 0, 0] | 495 => [2, 0, 0, 3, 1, 2, 0, 0] + | 496 => [2, 0, 0, 3, 1, 3, 0] | 497 => [0, 3, 0, 3, 1, 1, 2] | 498 => [1, 2, 1, 2, 1, 3] | 499 => [0, 0, 3, 1, 1, 3] + | 500 => [2, 0, 0, 0, 3] | 501 => [0, 0, 3, 1, 3, 1, 3, 1] | 502 => [0, 0, 2, 1, 1, 2, 0, 3, 0] | 503 => [0, 3, 1, 1, 3, 0, 3, 1] + | 504 => [0, 0, 3, 1, 1] | 505 => [0, 0, 0, 3, 0, 0, 3, 1, 3] | 506 => [1, 3, 1, 3, 1, 1] | 507 => [0, 3, 0, 0, 3, 1, 2, 0, 3] + | 508 => [2, 0, 0, 0, 2, 0, 3, 0] | 509 => [0, 0, 3, 1, 2, 1, 1, 3] | 510 => [3, 1, 1, 3, 0, 2, 0, 3] | 511 => [0, 3, 0, 0, 3, 0] + | 512 => [3, 1, 3, 0, 0] | 513 => [2, 1, 1, 2, 0, 0] | 514 => [0, 0, 0, 3, 0, 0, 0, 2] | 515 => [2, 0, 0, 3, 1, 1, 3] + | 516 => [2, 1, 1, 3, 0, 3] | 517 => [0, 0, 0, 2, 0, 0, 0] | 518 => [0, 0, 0, 3, 0, 0, 0, 3, 0, 3] | 519 => [1, 2, 0, 0] + | 520 => [0, 2, 0, 0, 0, 2, 0, 0, 0] | 521 => [1, 3, 0] | 522 => [0, 0, 0, 3, 0, 2, 1] | 523 => [1, 2, 0, 0, 3, 0, 3] + | 524 => [0, 2, 0, 0, 0, 3, 0, 2] | 525 => [1, 3, 0, 0, 3, 1, 2] | 526 => [3, 1, 1, 2, 1, 1, 2] | 527 => [3, 1, 3, 0, 3, 0, 2] + | 528 => [0, 3, 0, 2, 0, 3, 1] | 529 => [0, 3, 1, 2, 0, 2] | 530 => [1, 3, 1, 3, 1, 2] | 531 => [2, 0, 3, 0, 0, 2, 1] + | 532 => [2, 0, 0, 2, 1, 2] | 533 => [0, 0, 3, 0, 3, 0, 0, 2, 1] | 534 => [0, 2, 0, 0, 2, 1, 3] | 535 => [2, 0, 3, 0, 0, 2, 0, 0] + | 536 => [0, 2, 0, 0, 0, 2] | 537 => [2, 1, 2, 1, 2, 0, 2] | 538 => [2, 0, 2, 1, 1, 2, 0, 0] | 539 => [3, 1, 2, 0, 0, 2, 1, 3] + | 540 => [0, 0, 2, 0, 2, 0, 2, 0] | 541 => [2, 0, 3, 0, 0, 3, 1] | 542 => [0, 0, 3, 1, 2, 1, 2, 0] | 543 => [0, 0, 0, 3, 0, 2] + | 544 => [0, 0, 3, 0, 3] | 545 => [1, 2, 0, 2, 0, 2, 0, 0] | 546 => [3, 1, 1, 3, 1] | 547 => [0, 0, 0, 3, 1, 2, 1, 1, 3] + | 548 => [0, 0, 2, 0, 3, 1, 2] | 549 => [0, 0, 0, 2, 1, 1, 2, 1, 1] | 550 => [0, 3, 1, 3, 0, 0] | 551 => [0, 0, 3, 0, 2, 1, 2] + | 552 => [2, 1, 1, 3, 1] | 553 => [0, 0, 2, 0, 0, 0] | 554 => [0, 0, 2, 0, 0, 2] | 555 => [2, 1, 3, 0, 0, 2, 0, 0] + | 556 => [0, 0, 2, 0, 0, 3] | 557 => [1, 3, 1, 1, 2, 0, 3] | 558 => [0, 3, 0, 0, 0, 2, 1] | 559 => [0, 3, 0, 0, 0, 3, 0, 3] + | 560 => [3, 1, 2, 0, 0, 3, 0, 3] | 561 => [0, 3, 0, 3, 1, 1, 3] | 562 => [3, 1, 2, 1, 1] | 563 => [0, 3, 0, 0, 2, 1, 3, 0] + | 564 => [2, 0, 2, 1, 3, 1, 1] | 565 => [2, 0, 2, 0, 3, 1] | 566 => [0, 3, 0, 2, 0, 3, 1, 1] | 567 => [1, 3, 0, 3, 0, 2, 0] + | 568 => [3, 1, 1, 2, 1, 3, 0, 3] | 569 => [0, 0, 2, 1, 2, 1, 1] | 570 => [0, 3, 0, 0, 2, 1] | 571 => [2, 0, 3, 1, 3, 1, 3, 1] + | 572 => [0, 3, 1, 3, 1, 3, 0, 0] | 573 => [3, 0, 2, 0, 2, 0] | 574 => [3, 0, 2, 0, 3] | 575 => [1, 2, 0, 0, 0, 3, 1, 2] + | 576 => [3, 0, 2, 0, 0, 0] | 577 => [3, 1, 2, 1, 1, 2] | 578 => [3, 0, 0, 2, 1, 1, 3, 1] | 579 => [2, 1, 3, 0, 3, 0, 3, 0] + | 580 => [1, 2, 1, 2, 0, 0, 2, 1] | 581 => [3, 0, 3, 0, 0, 0, 3] | 582 => [0, 2, 1, 2, 1, 2, 0] | 583 => [0, 2, 1, 2, 1, 3] + | 584 => [2, 0, 2, 1, 1, 2, 1, 3] | 585 => [2, 0, 2, 1, 1, 2, 1] | 586 => [0, 0, 3, 1, 2, 0, 3, 1] | 587 => [2, 0, 3, 0, 3, 0, 3] + | 588 => [2, 0, 3, 0, 0, 3, 0] | 589 => [0, 3, 1, 2, 0, 3, 0, 0] | 590 => [3, 1, 1] | 591 => [0, 2, 1, 3, 0, 2] + | 592 => [0, 0, 3, 0, 3, 0, 0] | 593 => [1, 2, 1, 1, 2] | 594 => [0, 0, 3, 0, 3, 1] | 595 => [0, 3, 1, 1, 3, 1, 2, 1] + | 596 => [0, 0, 2, 1, 2, 0, 0] | 597 => [0, 0, 2, 1, 2, 0, 2] | 598 => [3, 0, 3, 1, 2] | 599 => [3, 0, 2, 1, 3, 1] + | 600 => [1, 3, 0, 3, 1, 1, 3] | 601 => [3, 0, 3, 0, 0, 3, 0] | 602 => [3, 0, 3, 0, 0] | 603 => [1, 2, 0, 3, 0, 0, 2] + | 604 => [1, 3, 1, 2, 0] | 605 => [1, 3, 0, 2, 0, 0, 0, 3] | 606 => [0, 0, 3, 1, 3, 1, 1, 3] | 607 => [1, 2, 0, 0, 2, 0] + | 608 => [0, 0, 3, 0, 3, 0, 3] | 609 => [0, 0, 2, 1, 2, 0, 2, 0] | 610 => [3, 1, 3, 1, 1, 3, 1, 3] | 611 => [0, 0, 3, 0, 2, 1] + | 612 => [3, 1, 3, 1] | 613 => [0, 0, 3, 0, 3, 0, 0, 2] | 614 => [3, 1, 3, 1, 3, 1, 3] | 615 => [2, 1, 3, 1, 1, 2, 0] + | 616 => [0, 3, 0, 2, 0, 0, 3] | 617 => [2, 0, 2, 0, 2, 0] | 618 => [2, 1, 3, 1, 1, 2, 0, 2] | 619 => [0, 0, 2, 0, 0, 2, 1] + | 620 => [2, 1, 2, 0, 3, 0, 2] | 621 => [0, 0, 3, 1, 2, 0, 0, 2] | 622 => [0, 3, 1, 1, 2, 1, 1, 2, 1] | 623 => [3, 1, 1, 3, 1, 2] + | 624 => [1, 2, 0, 2, 0, 3, 1] | 625 => [0, 0, 0, 2, 1, 2, 1, 1, 3] | 626 => [0, 2, 1, 2, 0] | 627 => [3, 0, 3, 1] + | 628 => [2, 0, 0, 3, 1, 3, 1, 3] | 629 => [0, 3, 1, 1, 2, 1, 2, 0] | 630 => [3, 0, 3, 0, 3, 0, 0] | 631 => [1, 2, 0, 3, 1, 2, 0, 0, 3] + | 632 => [2, 0, 2, 0, 2, 1, 2, 1] | 633 => [0, 0, 0, 2, 1, 2, 0, 0, 0, 2] | 634 => [2, 1, 3, 0, 0, 0, 3, 0] | 635 => [1, 2, 0, 0, 3, 1, 3] + | 636 => [0, 0, 0, 3, 0, 0, 2, 0, 3, 1] | 637 => [2, 0, 2, 1, 1, 2, 0, 0, 2] | 638 => [0, 0, 0, 2, 0, 0] | 639 => [0, 0, 0, 2, 0, 2] + | 640 => [3, 0, 2, 0, 3, 1, 2] | 641 => [0, 0, 0, 2, 0, 0, 0, 3] | 642 => [0, 0, 3, 1, 2] | 643 => [0, 3, 0, 0, 3, 1, 1, 3] + | 644 => [2, 0, 3, 1] | 645 => [1, 3, 0, 3, 1, 3] | 646 => [3, 1, 3, 1, 1, 3, 1] | 647 => [2, 1, 2, 1, 2] + | 648 => [0, 3, 1, 3, 1, 3, 1, 1] | 649 => [3, 0, 2, 1, 1, 3, 1] | 650 => [0, 0, 2, 0, 2, 0] | 651 => [0, 0, 2, 0, 3] + | 652 => [0, 2, 0, 3, 1, 2] | 653 => [2, 0, 3, 1, 2, 1, 1] | 654 => [0, 2, 0, 2, 1, 3, 1] | 655 => [0, 0, 2, 1, 2, 1, 2, 0] + | 656 => [0, 2, 1, 2, 0, 3] | 657 => [3, 0, 2, 1, 3] | 658 => [1, 2, 1, 2, 1] | 659 => [1, 3, 0, 2, 0, 3, 1, 3] + | 660 => [0, 3, 0, 3, 0, 0] | 661 => [0, 3, 0, 3, 0, 2] | 662 => [1, 3, 1, 3] | 663 => [2, 0, 0, 0, 3, 0, 2, 0] + | 664 => [2, 0, 0, 0, 3, 0, 3] | 665 => [1, 2, 0, 0, 2, 1, 1, 2] | 666 => [0, 0, 2, 1, 3, 0, 2, 1, 1] | 667 => [2, 0, 2, 1, 1, 2] + | 668 => [1, 2, 1, 2, 1, 1] | 669 => [1, 2, 0, 2, 1, 1] | 670 => [1, 2, 0, 2, 0, 0, 0, 2] | 671 => [0, 0, 2, 0, 3, 0, 0, 0] + | 672 => [1, 3, 0, 0, 0, 3, 1] | 673 => [0, 3, 0, 2, 0] | 674 => [2, 0, 3, 1, 2, 1] | 675 => [3, 1, 2, 0, 0, 3, 1, 2] + | 676 => [1, 3, 1, 1] | 677 => [0, 0, 0, 3, 0, 0, 3] | 678 => [3, 1, 1, 2, 1, 1, 3] | 679 => [1, 2, 0, 0, 3, 1] + | 680 => [0, 0, 2, 1, 1, 3, 0, 2] | 681 => [0, 2, 1, 2, 1, 2, 0, 2] | 682 => [3, 0, 0, 3, 1, 1, 3, 0] | 683 => [3, 0, 0, 3, 1, 1] + | 684 => [2, 0, 0, 3, 1, 1, 2] | 685 => [3, 0, 0, 3, 1, 1, 2] | 686 => [0, 0, 0, 2, 1] | 687 => [0, 0, 0, 2, 1, 1, 2] + | 688 => [1, 2, 0, 3] | 689 => [3, 0, 2, 0, 0, 3] | 690 => [2, 0, 0, 0, 2, 0, 3] | 691 => [1, 3, 0, 0, 3, 0, 2, 0, 0] + | 692 => [3, 0, 2, 1, 1, 2, 0, 0] | 693 => [0, 3, 0, 0, 3, 1, 1, 2] | 694 => [1, 2, 0, 0, 2, 1, 1, 2, 1] | 695 => [3, 0, 3, 0, 0, 3, 0, 2] + | 696 => [2, 1, 2, 0, 3, 0, 3] | 697 => [3, 0, 0, 2, 1, 2, 1, 1] | 698 => [0, 0, 0, 2, 1, 2, 1, 1] | 699 => [2, 1, 2, 0, 0, 2, 0, 0] + | 700 => [0, 2, 1, 1] | 701 => [3, 0, 2, 1, 1, 2] | 702 => [1, 3, 1, 2, 1, 2, 0, 3] | 703 => [0, 0, 2, 1, 3, 0, 0] + | 704 => [0, 3, 0, 0, 0] | 705 => [0, 3, 0, 0, 2] | 706 => [2, 1] | 707 => [0, 0, 2, 0, 2, 0, 2] + | 708 => [1, 2, 0, 0, 0, 2, 1, 1] | 709 => [0, 3, 1, 2, 1, 3, 0] | 710 => [2, 1, 1, 2, 1, 1] | 711 => [3, 0, 2, 1, 3, 1, 1, 2] + | 712 => [0, 0, 2, 1, 2, 0, 3, 0] | 713 => [0, 3, 1, 3, 1, 3, 1] | 714 => [0, 3, 0, 2, 1] | 715 => [3, 1, 3, 0, 0, 0, 2] + | 716 => [1, 3, 0, 3, 1] | 717 => [2, 1, 2] | 718 => [0, 0, 0, 3, 1, 1] | 719 => [0, 3, 0, 3, 0, 3, 0, 0] + | 720 => [2, 0, 3, 0, 2] | 721 => [0, 3, 1, 1, 3, 0, 2, 0] | 722 => [2, 0, 2, 0, 2, 1, 3, 1] | 723 => [1, 2, 0, 3, 1] + | 724 => [2, 1, 3, 1, 3] | 725 => [1, 2, 0, 0, 2, 0, 2, 0] | 726 => [0, 0, 3, 1, 2, 1, 3] | 727 => [0, 3, 1, 1, 3, 1] + | 728 => [2, 0, 3, 0, 2, 0, 2, 0] | 729 => [1, 2, 0, 0, 0, 3, 0] | 730 => [0, 3, 1, 2, 1, 3] | 731 => [0, 0, 3, 1, 3] + | 732 => [1, 2, 0, 0, 0, 2] | 733 => [0, 2, 1, 1, 2, 0, 3, 0, 2] | 734 => [2, 1, 2, 0, 0, 2, 1, 3] | 735 => [0, 0, 2, 0, 2, 1, 1] + | 736 => [0, 0, 2, 1, 2, 1, 2, 0, 2, 0] | 737 => [2, 1, 1, 3, 0, 2] | 738 => [0, 0, 3, 1, 3, 1] | 739 => [0, 2, 0, 2, 1, 1] + | 740 => [0, 0, 2, 1, 1, 2, 0, 2] | 741 => [0, 3, 0, 0, 3, 0, 2, 0, 2] | 742 => [1, 2, 0, 2, 0, 0, 3, 1, 1] | 743 => [2, 1, 3, 1, 1, 3, 1] + | 744 => [0, 0, 2, 0, 3, 0, 0, 3] | 745 => [0, 0, 2, 1, 3, 1, 1, 3] | 746 => [0, 0, 2, 0, 3, 0, 3] | 747 => [1, 3, 0, 2, 0] + | 748 => [1, 3, 0, 3] | 749 => [0, 2, 1, 3, 0, 0] | 750 => [0, 2, 1, 3, 1, 2] | 751 => [0, 3, 1, 1, 3, 0, 2] + | 752 => [2, 1, 3, 0, 3, 0] | 753 => [0, 2, 1, 3, 0, 3] | 754 => [3, 1, 1, 2, 1, 1] | 755 => [1, 3, 0, 3, 1, 1, 3, 0] + | 756 => [0, 2, 1, 2, 0, 0, 3] | 757 => [0, 0, 3, 0, 2, 0] | 758 => [0, 3, 1, 1, 3, 1, 2, 1, 3] | 759 => [0, 3, 0, 3, 0, 0, 2] + | 760 => [0, 2, 1, 2, 0, 0, 3, 1] | 761 => [3, 1, 2, 1, 2, 1] | 762 => [0, 2, 0, 3, 0, 0, 2] | 763 => [0, 0, 2, 0, 3, 0, 0, 0, 2] + | 764 => [0, 2, 0, 3, 0, 2, 0] | 765 => [0, 2, 0, 3, 0, 3] | 766 => [1, 2, 0, 3, 1, 2] | 767 => [1, 3, 0, 0, 3, 0, 0, 3] + | 768 => [1, 2, 0, 0, 0, 2, 0, 0] | 769 => [3, 0, 0, 2, 0] | 770 => [3, 0, 0, 3] | 771 => [3, 0, 2, 0, 0] + | 772 => [0, 3, 1, 1, 2, 0, 2] | 773 => [0, 3, 1, 1, 3, 1, 2, 1, 1] | 774 => [0, 3, 0, 0, 0, 2, 0, 2] | 775 => [2, 0, 3, 1, 3, 1, 1] + | 776 => [0, 0, 0, 2, 1, 2, 0] | 777 => [0, 0, 3, 0, 0, 3, 1] | 778 => [1, 3, 1, 2] | 779 => [0, 2, 0, 2, 1, 1, 3, 0] + | 780 => [0, 2, 0, 2, 1, 3] | 781 => [2, 0, 0, 3, 1, 2, 1, 1] | 782 => [1, 3, 1, 3, 1] | 783 => [0, 0, 0, 2, 0, 3, 1] + | 784 => [1, 3, 0, 2, 1, 3, 1, 1] | 785 => [1, 3, 1, 3, 1, 2, 1, 3] | 786 => [0, 3, 1, 2, 0] | 787 => [0, 0, 0, 3, 1, 1, 2, 0] + | 788 => [1, 2, 1, 1, 3] | 789 => [2, 1, 3, 0, 0, 2, 0] | 790 => [0, 0, 3, 0, 2, 1, 1] | 791 => [3, 0, 0, 3, 0, 0] + | 792 => [1, 3, 0, 2, 1, 3, 0] | 793 => [2, 1, 3, 1, 2, 1, 2] | 794 => [2, 1, 2, 1, 2, 0, 3] | 795 => [0, 2, 0, 2, 0, 3, 1, 2] + | 796 => [1, 3, 0, 2, 0, 3] | 797 => [0, 3, 0, 3, 0, 3, 0, 2] | 798 => [0, 0, 2, 1, 3, 0] | 799 => [0, 0, 3, 0, 0, 2, 1] + | 800 => [0, 3, 0, 0, 2, 0, 3, 0] | 801 => [0, 3, 0, 0, 2, 0] | 802 => [2, 0, 3, 0, 0, 3] | 803 => [0, 0, 0, 3, 1, 1, 3, 1] + | 804 => [1, 2, 0, 2, 1, 1, 2, 0] | 805 => [0, 3, 0, 0, 0, 3, 1, 2] | 806 => [1, 2, 0, 0, 2, 0, 0, 0] | 807 => [3, 1] + | 808 => [2, 1, 1, 2] | 809 => [1, 2, 1, 1, 3, 0, 2, 0] | 810 => [2, 0, 0, 0, 2, 0] | 811 => [2, 0, 2, 1, 3] + | 812 => [0, 0, 2, 1] | 813 => [3, 0, 3, 0, 0, 0] | 814 => [1, 2, 1, 2] | 815 => [0, 2, 0, 0, 2, 1, 2] + | 816 => [2, 1, 3, 1, 1] | 817 => [2, 0, 3, 0, 3, 0] | 818 => [0, 0, 0, 3, 0, 0, 2, 0, 3] | 819 => [1, 2, 0, 0, 2, 1, 1] + | 820 => [0, 0, 0, 3, 0, 0] | 821 => [1, 3, 0, 0, 0, 3, 0] | 822 => [0, 0, 3, 0, 3, 0, 3, 0] | 823 => [2, 0, 2, 0, 0, 0] + | 824 => [2, 0, 2, 0, 3] | 825 => [3, 1, 1, 2, 1, 3, 1] | 826 => [2, 0, 3, 0, 0] | 827 => [1, 2, 0, 0, 3, 1, 3, 1] + | 828 => [0, 2, 0, 2, 1, 1, 2] | 829 => [0, 0, 0, 3, 1, 3, 1, 3] | 830 => [1, 2, 1, 3, 1, 1, 2] | 831 => [1, 2, 1, 2, 0, 0, 3] + | 832 => [1, 2, 0, 0, 0, 2, 1, 2] | 833 => [0, 0, 3, 1, 2, 0, 0, 0] | 834 => [0, 3, 1, 2, 1, 1, 2, 1, 2] | 835 => [0, 0, 2, 1, 3, 1, 1, 3, 1] + | 836 => [1, 3, 0, 0, 3] | 837 => [1, 3, 0, 0, 2, 1, 3] | 838 => [0, 0, 3, 1, 2, 1, 1] | 839 => [0, 0, 3, 0, 3, 0, 0, 0] + | 840 => [1, 2, 0, 3, 1, 3, 1, 2] | 841 => [0, 3, 0, 0, 0, 2] | 842 => [0, 3, 1, 2, 1] | 843 => [2, 1, 3, 0, 2, 0] + | 844 => [2, 1, 3, 0, 3] | 845 => [3, 0, 0, 2, 1] | 846 => [3, 0, 0, 2, 1, 1, 2] | 847 => [3, 0, 3, 0, 3, 0, 2] + | 848 => [3, 1, 2, 1, 2] | 849 => [3, 0, 3, 0, 3, 0, 3] | 850 => [0, 0, 3, 0, 0, 2, 0] | 851 => [0, 0, 3, 0, 0, 3] + | 852 => [1, 3, 0, 3, 1, 1, 2] | 853 => [0, 3, 1, 3, 1, 3] | 854 => [1, 2, 0, 2, 1, 1, 3] | 855 => [2, 0, 3, 1, 1, 3] + | 856 => [0, 3, 0, 2, 1, 3, 1, 1] | 857 => [3, 1, 1, 2, 0, 2, 0, 2] | 858 => [1, 3, 1, 2, 1, 2, 0] | 859 => [1, 3, 1, 2, 1, 3] + | 860 => [1, 2, 1, 3, 0, 2, 0] | 861 => [0, 3, 1, 3] | 862 => [0, 3, 1, 3, 1, 2] | 863 => [1, 3, 0, 0, 2, 1, 2, 0] + | 864 => [2, 0, 0, 3, 0, 3, 0, 3] | 865 => [3, 1, 2, 1, 2, 1, 3] | 866 => [1, 3, 0, 0, 3, 0, 0, 2, 1] | 867 => [1, 2, 0, 2, 1, 3, 1] + | 868 => [0, 2, 1, 3, 0, 2, 0] | 869 => [1, 3, 0, 2, 0, 2, 1] | 870 => [0, 3, 1, 1, 3, 0, 0, 2] | 871 => [0, 0, 2, 0, 2, 1, 1, 2] + | 872 => [0, 2, 0, 3, 0, 3, 0, 3] | 873 => [0, 3, 0, 0, 0, 3, 0] | 874 => [0, 0, 0, 2, 0, 3, 0, 3] | 875 => [0, 3, 1, 1, 2, 1, 1, 2] + | 876 => [0, 2, 1, 3, 1, 2, 1, 3] | 877 => [2, 1, 2, 1, 3] | 878 => [1, 2, 1, 2, 0, 0, 0] | 879 => [0, 0, 3, 0, 3, 1, 1, 3] + | 880 => [0, 0, 0, 3, 1, 1, 3, 1, 3] | 881 => [1, 3, 0, 3, 1, 2] | 882 => [3, 0, 0, 2, 1, 3] | 883 => [0, 0, 3, 0, 3, 1, 2] + | 884 => [3, 1, 2, 0, 0, 0] | 885 => [3, 0, 3, 0, 3, 0, 2, 1] | 886 => [0, 0, 3, 1, 2, 0, 2] | 887 => [2, 0, 3, 0, 2, 0, 2, 1] + | 888 => [3, 1, 2, 0, 3, 0, 3] | 889 => [0, 3, 0, 0, 0, 3] | 890 => [2, 0, 0, 0, 2, 1, 1, 2] | 891 => [0, 2, 1, 3] + | 892 => [0, 3, 1, 2, 0, 0] | 893 => [3, 1, 1, 2, 0, 2, 0] | 894 => [2, 0, 0, 3, 1, 1, 3, 0] | 895 => [0, 2, 0, 0, 0, 3] + | 896 => [2, 0, 3, 1, 3, 1, 1, 3] | 897 => [0, 0, 0, 2, 1, 1, 2, 0, 0] | 898 => [0, 0, 0, 3, 1, 3] | 899 => [0, 0, 0, 3, 1, 3, 1, 2] + | 900 => [2, 1, 2, 0, 3] | 901 => [0, 3, 0, 0, 3, 1, 2, 1] | 902 => [0, 0, 3, 1, 3, 1, 1, 2] | 903 => [3, 0, 3, 1, 1, 3, 0, 3] + | 904 => [1, 3, 1, 2, 0, 0, 3, 1] | 905 => [3, 0, 3, 0, 2] | 906 => [0, 3, 1] | 907 => [1, 3, 1, 2, 0, 0, 0, 3] + | 908 => [0, 0, 3, 0, 2, 1, 1, 3] | 909 => [2, 0, 0, 3, 1, 2, 0, 3] | 910 => [3, 0, 2, 0, 0, 2] | 911 => [1, 2, 1, 3] + | 912 => [1, 2, 0, 2, 0, 0, 3, 0] | 913 => [0, 2, 0, 0, 0, 2, 1, 1] | 914 => [1, 2, 0, 0, 2, 0, 0] | 915 => [0, 3, 0, 2, 1, 1] + | 916 => [0, 0, 3, 0, 0, 2, 1, 3] | 917 => [3, 1, 1, 3, 0, 2, 1] | 918 => [1, 3, 0, 2, 0, 0, 3] | 919 => [2, 0, 3, 0, 0, 2, 0, 3] + | 920 => [0, 2, 0, 0, 0, 2, 0] | 921 => [3, 0, 2, 0, 0, 3, 1] | 922 => [1, 3, 0, 0] | 923 => [0, 3, 1, 3, 1, 3, 0] + | 924 => [0, 0, 0, 2, 1, 2, 1] | 925 => [2, 1, 1, 3, 0, 0, 2, 1] | 926 => [0, 0, 0, 2, 1, 2, 1, 2] | 927 => [3, 0, 0, 3, 1, 3] + | 928 => [2, 1, 3, 0, 3, 0, 0] | 929 => [0, 3, 1, 1, 2, 0, 0] | 930 => [1, 3, 1] | 931 => [2, 0, 0, 0, 2, 0, 2, 0] + | 932 => [2, 0, 2, 1, 2] | 933 => [1, 2, 1, 3, 1] | 934 => [0, 0, 0, 2, 0, 3, 0] | 935 => [0, 0, 3, 1, 2, 0, 3] + | 936 => [3, 1, 2, 0, 3, 0, 0] | 937 => [3, 0, 0, 3, 0, 0, 0] | 938 => [0, 0, 0, 2, 0, 3] | 939 => [1, 3, 1, 2, 0, 0, 2] + | 940 => [3, 0, 2, 0, 2, 0, 3] | 941 => [2, 0, 2, 0, 0, 3, 1, 2] | 942 => [0, 0, 3, 1, 3, 1, 3] | 943 => [3, 0, 3, 0, 0, 2] + | 944 => [1, 2, 0, 3, 1, 2, 0, 0, 2] | 945 => [3, 0, 2, 0, 3, 1, 3, 1] | 946 => [0, 3, 0, 3, 1] | 947 => [0, 3, 1, 1, 2, 0] + | 948 => [1, 2, 0, 0, 0, 2, 0] | 949 => [2, 0, 0, 0, 3, 1] | 950 => [1, 3, 0, 2, 1] | 951 => [2, 0, 3, 1, 1, 2] + | 952 => [0, 0, 0, 3, 1, 2, 1, 1, 2] | 953 => [2, 1, 2, 0] | 954 => [1, 3, 0, 3, 0] | 955 => [3, 0, 3, 1, 1, 3, 0, 2] + | 956 => [0, 0, 2, 1, 3, 0, 2, 0] | 957 => [1, 2, 0, 0, 0, 3, 1, 1] | 958 => [3, 0, 3, 0, 2, 0, 3] | 959 => [0, 3, 0, 2, 0, 2, 1] + | 960 => [1, 2, 0, 0, 0, 2, 1] | 961 => [1, 3, 1, 1, 2, 0, 0, 3] | 962 => [1, 3, 0, 2, 1, 1] | 963 => [0, 0, 2, 1, 3] + | 964 => [0, 0, 0, 2, 1, 1, 2, 1] | 965 => [0, 0, 2, 0, 2, 1, 1, 2, 0] | 966 => [1, 3, 0, 0, 2] | 967 => [1, 3, 0, 0, 2, 1, 2] + | 968 => [0, 0, 2, 0, 0, 3, 1] | 969 => [1, 3, 1, 1, 2, 0, 0, 2] | 970 => [0, 3, 0, 3, 0, 2, 1] | 971 => [1, 2, 1, 1, 3, 0] + | 972 => [2, 1, 3, 0, 0, 3] | 973 => [2, 1, 1, 3, 0, 0] | 974 => [2, 1, 1, 3, 0, 2, 0, 3] | 975 => [0, 3, 0, 3, 0, 3, 0, 0, 0] + | 976 => [2, 1, 2, 0, 0, 2, 0] | 977 => [2, 1, 2, 1, 2, 1, 2] | 978 => [2, 1, 2, 0, 0, 3, 0] | 979 => [0, 0, 0, 2, 1, 2, 0, 0, 0] + | 980 => [3, 1, 2, 0, 0, 2, 1] | 981 => [0, 3, 0, 0, 0, 3, 1, 3] | 982 => [0, 3, 0, 2, 0, 2, 1, 3] | 983 => [1, 3, 0, 0, 3, 1, 2, 0] + | 984 => [2, 1, 3, 1, 2, 1, 2, 0] | 985 => [0, 3, 0, 3, 1, 1, 2, 0] | 986 => [0, 2, 0, 2, 0, 3, 1] | 987 => [0, 0, 3, 1, 3, 1, 3, 1, 2] + | 988 => [1, 2, 0, 0, 3, 1, 2] | 989 => [0, 0, 0, 3, 0, 0, 0, 3, 1] | 990 => [0, 3, 1, 1, 3, 0, 3] | 991 => [0, 2, 1, 1, 2] + | 992 => [1, 3, 1, 3, 1, 1, 2] | 993 => [2, 1, 1, 2, 0, 0, 0] | 994 => [3, 1, 1, 3, 0, 2, 0] | 995 => [0, 3, 0, 0, 3, 0, 0] + | 996 => [3, 1, 3, 0, 0, 0] | 997 => [3, 1, 3, 0, 0, 2] | 998 => [0, 0, 0, 3, 0, 0, 0, 3] | 999 => [1, 3, 1, 1, 2, 1, 3, 1] + | 1000 => [3, 1, 1, 3] | 1001 => [0, 2, 1, 2, 0, 0, 2] | 1002 => [2, 1, 1, 3, 0] | 1003 => [1, 3, 0, 0, 0, 2] + | 1004 => [3, 0, 2, 1, 1] | 1005 => [1, 3, 0, 0, 0, 3, 1, 3, 1] | 1006 => [0, 0, 0, 3, 0, 0, 0, 3, 0] | 1007 => [2, 1, 3, 1, 1, 2] + | 1008 => [1, 3, 0, 2, 0, 2, 1, 3] | 1009 => [1, 2, 0, 0, 0] | 1010 => [1, 2, 0, 0, 2] | 1011 => [0, 0, 0, 3, 0, 0, 0] + | 1012 => [0, 3, 0, 2, 0, 0] | 1013 => [1, 2, 1, 2, 0, 0, 2, 0] | 1014 => [1, 2, 0, 0, 3, 0, 3, 0] | 1015 => [1, 2, 0, 0, 3, 0] + | 1016 => [0, 0, 2, 0, 0, 0, 3, 0] | 1017 => [0, 2, 1, 3, 0, 0, 0] | 1018 => [2, 1, 2, 1, 2, 0, 0] | 1019 => [0, 0, 2, 0, 0, 0, 3] + | 1020 => [0, 3, 0, 2, 0, 3] | 1021 => [0, 0, 2, 0, 0, 0, 2, 0] | 1022 => [0, 0, 2, 0, 3, 1, 1, 2, 1, 2] | 1023 => [2, 0, 3, 0, 0, 2] + | 1024 => [1, 3, 0, 2, 0, 0, 2] | 1025 => [2, 0, 0, 2, 1, 3] | 1026 => [0, 2, 0, 0, 0, 3, 0] | 1027 => [2, 0, 3, 1, 2, 1, 2, 1] + | 1028 => [0, 0, 3, 1, 2, 0, 3, 0] | 1029 => [3, 1, 1, 3, 1, 2, 1] | 1030 => [1, 2, 0, 3, 0, 0, 3] | 1031 => [0, 3, 0, 0, 0, 3, 1] + | 1032 => [2, 0, 0, 0, 3, 1, 1] | 1033 => [1, 2, 0, 0, 2, 0, 2] | 1034 => [1, 3, 0, 2, 1, 2] | 1035 => [0, 0, 0, 3, 0, 3] + | 1036 => [0, 0, 3, 0, 3, 0] | 1037 => [0, 0, 2, 0, 0, 2, 0, 0, 0] | 1038 => [1, 3, 0, 3, 0, 3, 0] | 1039 => [0, 2, 0, 2, 1, 2, 1, 1] + | 1040 => [0, 2, 0, 0, 0, 3, 1] | 1041 => [0, 0, 2, 1, 2, 1, 2, 0, 2] | 1042 => [0, 0, 0, 3, 1, 2, 1, 1] | 1043 => [0, 0, 3, 1, 2, 1] + | 1044 => [0, 0, 3, 1, 3, 1, 2, 0] | 1045 => [0, 3, 1, 3, 0, 0, 0] | 1046 => [0, 0, 2, 0, 0, 0, 3, 1] | 1047 => [2, 1, 1, 3] + | 1048 => [0, 0, 2, 0, 3, 0, 2] | 1049 => [0, 0, 2, 0, 0, 0, 2] | 1050 => [0, 0, 2, 0, 0, 2, 0] | 1051 => [2, 1, 3, 0, 0, 0, 2] + | 1052 => [2, 1, 2, 0, 0, 2, 1, 2] | 1053 => [1, 3, 0, 0, 2, 0, 2, 1] | 1054 => [0, 0, 2, 0, 3, 1, 1, 2] | 1055 => [1, 3, 1, 1, 2, 0] + | 1056 => [0, 3, 0, 3, 1, 1] | 1057 => [3, 1, 2, 1] | 1058 => [0, 3, 0, 0, 2, 1, 3, 0, 0] | 1059 => [2, 0, 2, 1, 3, 1] + | 1060 => [2, 1, 2, 1, 2, 1, 1] | 1061 => [3, 1, 1, 2, 1, 3, 0] | 1062 => [0, 0, 3, 1, 2, 1, 1, 2] | 1063 => [0, 0, 2, 1, 2, 1] + | 1064 => [0, 2, 1, 2, 0, 0] | 1065 => [0, 0, 2, 1, 3, 1, 2] | 1066 => [0, 0, 2, 0, 3, 0, 2, 0] | 1067 => [2, 1, 3, 0, 0, 0, 3, 1] + | 1068 => [1, 2, 1, 2, 0, 0, 2] | 1069 => [3, 0, 3, 0, 0, 0, 3, 0] | 1070 => [3, 0, 2, 1, 1, 2, 0] | 1071 => [2, 1, 2, 1, 2, 1, 3] + | 1072 => [3, 0, 3, 0, 0, 3, 0, 0] | 1073 => [0, 3, 0, 3, 0, 3, 1, 1, 2] | 1074 => [2, 1, 3, 1, 1, 2, 1] | 1075 => [3, 1, 1, 2] + | 1076 => [0, 3, 0, 0, 0, 2, 0] | 1077 => [0, 0, 2, 0, 0, 2, 0, 0] | 1078 => [1, 2, 0, 3, 1, 3, 1] | 1079 => [1, 2, 0, 2, 0, 0, 3, 1] + | 1080 => [0, 0, 2, 1, 2, 0, 0, 0] | 1081 => [0, 0, 2, 0, 0, 2, 0, 3] | 1082 => [0, 3, 1, 3, 1, 2, 0] | 1083 => [0, 2, 0, 3, 1, 3, 1] + | 1084 => [3, 0, 3, 1, 3] | 1085 => [0, 0, 2, 1, 2] | 1086 => [1, 3, 1, 1, 2, 1, 2] | 1087 => [0, 3, 0, 0, 2, 0, 0] + | 1088 => [1, 2, 0, 2, 0, 0, 0, 2, 1] | 1089 => [0, 0, 2, 1, 3, 0, 2, 0, 2] | 1090 => [3, 0, 2, 1, 3, 1, 3] | 1091 => [1, 2, 1, 3, 1, 1, 2, 0] + | 1092 => [1, 3, 1, 2, 0, 0] | 1093 => [2, 0, 0, 0, 3, 1, 2] | 1094 => [1, 3, 0, 2, 0, 0, 0] | 1095 => [0, 3, 0, 3, 0, 2, 0] + | 1096 => [0, 2, 1, 3, 1, 1, 2] | 1097 => [3, 1, 3] | 1098 => [3, 1, 3, 1, 2] | 1099 => [2, 0, 2, 1, 3, 1, 2] + | 1100 => [2, 0, 0, 3, 1, 2, 1, 2] | 1101 => [0, 0, 2, 0, 3, 0, 0, 2] | 1102 => [2, 0, 2, 1] | 1103 => [0, 0, 2, 1, 2, 1, 2] + | 1104 => [3, 0, 0, 3, 1, 1, 3, 1] | 1105 => [2, 1, 2, 0, 3, 0, 2, 0] | 1106 => [0, 3, 1, 1] | 1107 => [0, 0, 3, 1, 2, 0, 0, 3] + | 1108 => [2, 1, 2, 0, 3, 0] | 1109 => [0, 2, 0, 0, 0, 2, 1] | 1110 => [0, 2, 1, 2, 0, 2] | 1111 => [0, 0, 2, 0, 0, 3, 1, 2] + | 1112 => [2, 0, 0, 3, 1, 3, 1] | 1113 => [3, 0, 3, 0, 2, 0, 2] | 1114 => [2, 0, 0, 2, 1, 3, 1] | 1115 => [1, 2, 0, 0, 3, 0, 2, 0, 3, 1] + | 1116 => [0, 0, 0, 3, 0, 0, 2, 0, 0] | 1117 => [3, 0, 2, 0, 3, 1, 3] | 1118 => [0, 0, 3, 1, 2, 0] | 1119 => [0, 3, 0, 0, 3, 1, 1] + | 1120 => [2, 0, 3, 1, 2] | 1121 => [2, 1, 2, 1, 2, 0] | 1122 => [1, 2, 0, 0, 0, 3] | 1123 => [1, 3, 1, 1, 2, 0, 0, 0] + | 1124 => [3, 0, 2, 1, 1, 3] | 1125 => [0, 0, 2, 0, 3, 0] | 1126 => [2, 0, 2, 0, 0, 0, 2] | 1127 => [0, 2, 0, 3, 1, 3] + | 1128 => [0, 2, 1] | 1129 => [1, 3, 0, 0, 0, 3, 1, 2] | 1130 => [3, 0, 3, 0, 2, 0, 0] | 1131 => [3, 0, 2, 1] + | 1132 => [3, 0, 0, 2, 1, 2, 1] | 1133 => [2, 0, 2, 1, 3, 1, 3] | 1134 => [0, 3, 0, 3, 0, 0, 0] | 1135 => [1, 3, 0, 2, 0, 0, 3, 0] + | 1136 => [1, 2, 0, 0, 2, 1, 1, 3] | 1137 => [0, 0, 0, 3, 0, 3, 1] | 1138 => [2, 0, 2, 1, 1, 2, 0] | 1139 => [2, 1, 1, 2, 1] + | 1140 => [0, 0, 2, 0, 3, 1] | 1141 => [1, 3, 1, 1, 2, 1, 1] | 1142 => [0, 0, 2, 0, 3, 1, 1] | 1143 => [1, 3, 1, 2, 0, 0, 3, 0] + | 1144 => [1, 3, 0, 0, 0, 3] | 1145 => [1, 2, 0, 0, 0, 3, 1, 1, 3] | 1146 => [0, 3, 0, 2, 0, 2] | 1147 => [0, 0, 0, 2, 1, 2] + | 1148 => [2, 0, 3, 1, 2, 1, 2] | 1149 => [3, 1, 2, 0, 0, 3, 1, 3] | 1150 => [3, 1, 2, 0, 0, 3, 1] | 1151 => [1, 3, 1, 1, 2] + | 1152 => [3, 1, 1, 3, 0, 3] | 1153 => [1, 2, 0, 0, 3] | 1154 => [0, 0, 2, 1, 1, 3, 0, 3] | 1155 => [0, 0, 3, 0, 0, 3, 1, 3] + | 1156 => [3, 1, 1, 2, 1, 2, 0] | 1157 => [0, 0, 0, 3, 1] | 1158 => [3, 0, 0, 3, 1] | 1159 => [1, 3, 0, 0, 2, 1, 1, 3] + | 1160 => [0, 0, 0, 2, 1, 1, 2, 0] | 1161 => [1, 2, 1, 3, 1, 1, 3] | 1162 => [1, 2, 0, 3, 0] | 1163 => [0, 0, 0, 2, 0, 2, 1] + | 1164 => [3, 1, 1, 2, 0] | 1165 => [0, 3, 1, 1, 3] | 1166 => [1, 3, 0, 0, 2, 0, 2, 1, 1] | 1167 => [1, 3, 0, 0, 0, 3, 0, 2, 1] + | 1168 => [0, 0, 0, 2, 1, 2, 1, 1, 2] | 1169 => [1, 3, 0, 0, 0] | 1170 => [1, 3, 0, 0, 2, 0, 0] | 1171 => [1, 3, 1, 1, 2, 0, 2] + | 1172 => [2, 0, 0, 0, 2, 1] | 1173 => [2, 0, 3, 0, 0, 3, 0, 3] | 1174 => [0, 3, 1, 1, 2, 0, 3, 1] | 1175 => [3, 1, 3, 0, 0, 0, 3] + | 1176 => [2, 1, 3] | 1177 => [0, 0, 0, 3, 0, 0, 2] | 1178 => [2, 1, 3, 1] | 1179 => [0, 2, 1, 3, 1, 2, 1, 3, 0] + | 1180 => [0, 3, 0, 2, 1, 1, 2, 0, 2] | 1181 => [1, 3, 0, 0, 0, 3, 1, 3] | 1182 => [0, 0, 2, 1, 3, 1, 1, 2, 1] | 1183 => [0, 0, 0, 3, 1, 2, 1, 3] + | 1184 => [2, 1, 2, 0, 0, 2, 1] | 1185 => [0, 0, 3, 1, 3, 1, 2] | 1186 => [0, 0, 2, 1, 1, 2, 0, 3] | 1187 => [0, 0, 2, 0, 3, 0, 0] + | 1188 => [1, 3, 0, 3, 0, 2, 1] | 1189 => [0, 0, 2, 1, 3, 1, 1] | 1190 => [2, 0, 3, 1, 1] | 1191 => [1, 3, 0, 2, 0, 0] + | 1192 => [1, 3, 0, 2, 0, 2] | 1193 => [0, 0, 3, 0, 2, 0, 3] | 1194 => [0, 3, 1, 1, 2, 1, 2] | 1195 => [0, 2, 1, 3, 1, 3] + | 1196 => [0, 3, 1, 1, 3, 0] | 1197 => [2, 1, 3, 0, 3, 0, 2] | 1198 => [0, 0, 2, 1, 3, 1] | 1199 => [3, 1, 1, 2, 1] + | 1200 => [3, 1, 1, 2, 0, 0] | 1201 => [3, 0, 0, 2, 0, 2] | 1202 => [0, 0, 0, 3, 1, 2, 1] | 1203 => [0, 3, 0, 3, 0, 0, 3] + | 1204 => [1, 2, 0, 0, 3, 1, 2, 1] | 1205 => [0, 0, 0, 3, 1, 1, 2, 0, 0] | 1206 => [0, 2, 0, 3, 0, 0, 3] | 1207 => [0, 3, 1, 2, 1, 2] + | 1208 => [0, 2, 0, 3, 0, 3, 0] | 1209 => [0, 0, 2, 1, 3, 1, 1, 2] | 1210 => [1, 2, 1] | 1211 => [2, 0, 3, 1, 3, 1, 1, 2] + | 1212 => [2, 0, 0, 0, 2, 0, 0] | 1213 => [0, 3, 0, 3, 0, 3, 1, 1] | 1214 => [2, 0, 0, 3, 1, 2, 1] | 1215 => [0, 3, 1, 2, 0, 3, 0, 0, 3] + | 1216 => [1, 2, 0, 2, 1, 1, 2, 0, 2] | 1217 => [0, 2, 0, 2, 1, 2, 1] | 1218 => [0, 3, 1, 1, 3, 0, 2, 1] | 1219 => [0, 3, 0, 0, 0, 3, 1, 1] + | 1220 => [0, 3, 0, 3, 0, 3, 1, 1, 3] | 1221 => [1, 2, 0, 3, 1, 3, 1, 3] | 1222 => [1, 2, 1, 1] | 1223 => [1, 2, 1, 2, 0, 0, 0, 3, 0] + | 1224 => [0, 0, 3, 0, 2, 1, 1, 2] | 1225 => [0, 2, 1, 3, 1] | 1226 => [3, 1, 2] | 1227 => [0, 3, 1, 2, 0, 0, 2] + | 1228 => [0, 0, 3, 1, 2, 0, 0, 3, 1] | 1229 => [1, 2, 1, 2, 0] | 1230 => [0, 3, 1, 2, 0, 0, 2, 1] | 1231 => [0, 0, 0, 3, 0, 0, 2, 0] + | 1232 => [0, 0, 2, 1, 3, 1, 3] | 1233 => [1, 2, 0, 0, 2, 1] | 1234 => [3, 1, 3, 1, 2, 0] | 1235 => [0, 0, 3, 1, 3, 1, 1, 3, 1] + | 1236 => [2, 0, 2, 1, 1] | 1237 => [0, 2, 1, 3, 1, 1, 3] | 1238 => [3, 1, 1, 2, 1, 3] | 1239 => [2, 0, 0, 3, 1, 2, 1, 3] + | 1240 => [2, 0, 3, 0, 0, 0] | 1241 => [0, 0, 2, 0, 0, 3, 1, 3] | 1242 => [0, 2, 0, 2, 1, 1, 3] | 1243 => [3, 1, 1, 3, 0] + | 1244 => [1, 3, 1, 3, 1, 1, 3] | 1245 => [1, 3, 0, 3, 0, 3] | 1246 => [1, 2, 1, 2, 0, 0] | 1247 => [1, 3, 0, 2, 0, 0, 0, 2] + | 1248 => [0, 0, 2, 0, 3, 1, 1, 2, 1] | 1249 => [0, 0, 3, 0, 3, 1, 1] | 1250 => [1, 3, 1, 1, 2, 1, 3] | 1251 => [0, 3, 1, 2] + | 1252 => [2, 1, 3, 0] | 1253 => [0, 2, 0, 2, 1, 1, 3, 1] | 1254 => [0, 2, 0, 3, 1] | 1255 => [3, 1, 2, 1, 3] + | 1256 => [0, 2, 1, 3, 1, 1] | 1257 => [0, 0, 3, 0, 0, 2, 0, 2] | 1258 => [1, 2, 0, 2, 1, 1, 3, 0] | 1259 => [1, 3, 1, 2, 1, 2, 0, 0] + | 1260 => [1, 2, 1, 3, 0, 2, 0, 2] | 1261 => [1, 3, 1, 2, 0, 0, 2, 0] | 1262 => [1, 2, 1, 3, 1, 3, 1] | 1263 => [0, 2, 1, 3, 0, 2, 0, 2] + | 1264 => [0, 2, 0, 0, 0, 2, 0, 0] | 1265 => [0, 0, 2, 0, 2, 1, 1, 3] | 1266 => [0, 3, 0, 2, 0, 0, 0] | 1267 => [0, 2, 0, 3, 0, 3, 0, 2] + | 1268 => [0, 2, 1, 3, 1, 2, 1] | 1269 => [1, 2, 1, 2, 0, 0, 0, 3] | 1270 => [0, 0, 2, 0, 3, 1, 1, 3] | 1271 => [2, 1, 2, 0, 3, 0, 0, 3] + | 1272 => [0, 3, 1, 2, 0, 0, 0] | 1273 => [3, 0, 0, 2, 0, 0, 0, 3] | 1274 => [1, 3, 0, 3, 0, 2] | 1275 => [0, 0, 0, 2, 0, 3, 0, 2] + | 1276 => [1, 3, 1, 2, 0, 0, 3] | 1277 => [3, 0, 3, 0, 2, 0] | 1278 => [1, 3, 1, 2, 0, 0, 0] | 1279 => [0, 0, 3, 0, 2, 1, 3, 1] + | 1280 => [0, 0, 3, 1, 2, 0, 3, 0, 0] | 1281 => [2, 0, 2, 1, 1, 2, 0, 3] | 1282 => [0, 2, 0, 0, 0, 2, 1, 1, 2] | 1283 => [3, 0, 3, 0, 2, 1] + | 1284 => [0, 3, 0, 2, 1, 1, 2] | 1285 => [3, 0, 2, 1, 1, 3, 0] | 1286 => [3, 1, 1, 3, 0, 2] | 1287 => [2, 0, 3, 0, 0, 2, 0] + | 1288 => [0, 2, 0, 0, 0, 2, 0, 2] | 1289 => [0, 2, 0, 2, 0, 2, 1, 3] | 1290 => [2, 1, 1, 3, 0, 0, 2] | 1291 => [0, 3, 1, 1, 2, 0, 0, 0] + | 1292 => [1, 2, 1, 3, 1, 2] | 1293 => [2, 0, 0, 0, 2, 1, 1] | 1294 => [0, 0, 3, 0, 0, 2, 0, 3] | 1295 => [0, 0, 3, 1, 3, 1, 2, 1] + | 1296 => [0, 2, 0, 0, 0, 3, 1, 1] | 1297 => [1, 2, 0, 0, 0, 3, 1] | 1298 => [0, 0, 3, 0, 0, 2, 0, 3, 0] | 1299 => [1, 3, 1, 1, 2, 0, 0] + | 1300 => [0, 3, 1, 1, 2, 1] | 1301 => [1, 3, 0, 0, 2, 0] | 1302 => [1, 3, 0, 0, 2, 1, 1] | 1303 => [0, 3, 1, 2, 1, 2, 0] + | 1304 => [1, 2, 1, 1, 3, 0, 2] | 1305 => [1, 2, 1, 1, 3, 0, 3] | 1306 => [2, 1, 3, 0, 0] | 1307 => [0, 0, 3, 1, 2, 0, 0, 3, 0] + | 1308 => [1, 2, 0, 0, 3, 1, 2, 0] | 1309 => [3, 1, 3, 0, 0, 2, 0] | 1310 => [1, 2, 1, 3, 1, 3] | 1311 => [0, 3, 0, 0, 3, 0, 0, 0] + | 1312 => [3, 1, 1, 2, 1, 2] | 1313 => [3, 0, 0, 2, 1, 2, 1, 3] | 1314 => [0, 3, 1, 1, 2, 1, 1] | 1315 => [1, 2, 0, 3, 0, 0] + | 1316 => [0, 0, 3, 1, 2, 0, 0] | 1317 => [0, 0, 3, 0, 3, 0, 2] | 1318 => [0, 0, 2, 0, 0, 2, 1, 1] | 1319 => [0, 3, 0, 2, 1, 1, 2, 0] + | 1320 => [2, 1, 3, 0, 0, 0, 3] | 1321 => [2, 1, 3, 0, 0, 0] | 1322 => [1, 3, 0, 0, 2, 0, 2] | 1323 => [3, 1, 1, 2, 0, 2] + | 1324 => [2, 1, 2, 1, 2, 1] | 1325 => [3, 0, 2, 0, 3, 1] | 1326 => [1, 3, 1, 1, 2, 1] | 1327 => [3, 0, 0, 3, 1, 2, 1] + | 1328 => [0, 0, 3, 0, 3, 0, 2, 0] | 1329 => [1, 2, 0, 3, 1, 1] | 1330 => [0, 3, 1, 1, 2] | 1331 => [0, 2, 0, 0, 0, 2, 1, 2] + | 1332 => [2, 1, 2, 0, 3, 0, 0] | 1333 => [1, 3, 1, 1, 2, 1, 3, 0] | 1334 => [2, 0, 2, 1, 1, 2, 0, 2] | 1335 => [0, 0, 0, 2, 1, 3, 1] + | 1336 => [3, 0, 0, 3, 1, 2] | 1337 => [0, 0, 0, 2, 1, 3] | 1338 => [0, 0, 0, 3, 1, 2] | 1339 => [0, 0, 3, 0, 3, 1, 1, 2, 0] + | 1340 => [2, 1, 3, 0, 3, 0, 2, 0] | 1341 => [3, 1, 1, 2, 0, 3] | 1342 => [0, 0, 3, 0, 2, 1, 3, 1, 3] | 1343 => [0, 0, 3, 0, 3, 1, 1, 2] + +theorem meinhold1344Witness_correct : + ∀ v : Fin 1344, applyWord' meinhold1344Gens (meinhold1344WitnessWords v) 0 = v := by + native_decide + +/-! ## Graph definition via connection set -/ + +private def meinhold1344AdjBool (u v : Fin 1344) : Bool := + u ≠ v && + (let w := (applyWord' meinhold1344Gens (meinhold1344WitnessWords u)).symm v + w == (5 : Fin 1344) || w == (18 : Fin 1344) || w == (60 : Fin 1344) || w == (341 : Fin 1344) || w == (379 : Fin 1344) || w == (636 : Fin 1344) || w == (779 : Fin 1344) || w == (827 : Fin 1344) || w == (1201 : Fin 1344)) + +/-- The Meinhold-1344 graph: 1344 vertices, 9-regular, girth 6. -/ +def meinhold1344Graph : SimpleGraph (Fin 1344) where + Adj u v := meinhold1344AdjBool u v + symm u v := by simp only [meinhold1344AdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [meinhold1344AdjBool]; revert u; native_decide⟩ + +instance meinhold1344DecAdj : DecidableRel meinhold1344Graph.Adj := + fun u v => inferInstanceAs (Decidable (meinhold1344AdjBool u v)) + +theorem meinhold1344Gen1_adj : ∀ u v : Fin 1344, + meinhold1344Graph.Adj u v ↔ meinhold1344Graph.Adj (meinhold1344Gens 0 u) (meinhold1344Gens 0 v) := by + native_decide + +theorem meinhold1344Gen2_adj : ∀ u v : Fin 1344, + meinhold1344Graph.Adj u v ↔ meinhold1344Graph.Adj (meinhold1344Gens 1 u) (meinhold1344Gens 1 v) := by + native_decide + +/-! ## Sabidussi coset graph proof -/ + +private def m1344Group := Subgroup.closure (Set.range meinhold1344Gens) + +private noncomputable instance : MulAction m1344Group (Fin 1344) := + MulAction.compHom _ m1344Group.subtype + +private noncomputable instance : GraphAction m1344Group (Fin 1344) meinhold1344Graph where + adj_smul g u v h := closureGraphAction meinhold1344Gens + (fun i => by match i with | 0 => exact meinhold1344Gen1_adj | 1 => exact meinhold1344Gen2_adj) + g.1 g.2 u v h + +set_option maxRecDepth 2048 in +private noncomputable instance : MulAction.IsPretransitive m1344Group (Fin 1344) where + exists_smul_eq x y := + ⟨⟨_, m1344Group.mul_mem (applyWord'_mem meinhold1344Gens _) + (m1344Group.inv_mem (applyWord'_mem meinhold1344Gens _))⟩, by + change ((applyWord' meinhold1344Gens (meinhold1344WitnessWords x)).symm.trans + (applyWord' meinhold1344Gens (meinhold1344WitnessWords y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' meinhold1344Gens (meinhold1344WitnessWords x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (meinhold1344Witness_correct x).symm] + exact meinhold1344Witness_correct y⟩ + +/-- **Meinhold-1344 is a Sabidussi coset graph.** + +G₂(2) acts vertex-transitively on the 1344 cosets of C₃×C₃. +`Meinhold-1344 ≃g Sab(G₂(2), C₃×C₃, D)` with `1344 = 12096/9` vertices. -/ +noncomputable def meinhold1344SabidussiIso : + meinhold1344Graph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer m1344Group (0 : Fin 1344)) + (connectionSet m1344Group meinhold1344Graph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +/-! ## Properties -/ + +/-- Meinhold-1344 is connected. -/ +theorem meinhold1344_connected : meinhold1344Graph.Connected := by native_decide + +/-- Meinhold-1344 has no triangles. -/ +theorem meinhold1344_triangleFree : + ∀ u v w : Fin 1344, meinhold1344Graph.Adj u v → meinhold1344Graph.Adj v w → + meinhold1344Graph.Adj u w → False := by + native_decide + +/-- Meinhold-1344 has a 6-cycle (combined with triangle-free, girth ≤ 6). -/ +theorem meinhold1344_has_6cycle : + ∃ a b c d e f : Fin 1344, + meinhold1344Graph.Adj a b ∧ meinhold1344Graph.Adj b c ∧ + meinhold1344Graph.Adj c d ∧ meinhold1344Graph.Adj d e ∧ + meinhold1344Graph.Adj e f ∧ meinhold1344Graph.Adj f a := by + exact ⟨0, 5, 1064, 201, 1200, 779, + by native_decide, by native_decide, by native_decide, + by native_decide, by native_decide, by native_decide⟩ diff --git a/Archive/Meinhold2016.lean b/Archive/Meinhold2016.lean new file mode 100644 index 00000000000000..17e8530571a1c0 --- /dev/null +++ b/Archive/Meinhold2016.lean @@ -0,0 +1,918 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Connectivity.Finite +import Mathlib.Combinatorics.SimpleGraph.Finite +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Meinhold-2016: Sabidussi coset graph Sab(G₂(2), C₆) + +The **Meinhold-2016** graph (2016 vertices, 6-regular, girth 8) is the coset graph +`Sab(G₂(2), C₆)` with `2016 = 12096/6` vertices. + +Named after Nick Meinhold, co-founder of Imagineering Melbourne. + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longFile 1500 +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-! ## Generators of G₂(2) on 2016 cosets -/ + +private def meinhold2016Gen1Fwd : Array (Fin 2016) := #[ + 2, 4, 8, 12, 16, 19, 22, 21, 28, 32, 36, 39, 42, 45, 48, 47, 54, 58, 62, 66, 0, 69, 53, 76, 24, 80, 71, 14, 85, 89, + 93, 96, 99, 102, 103, 105, 109, 113, 115, 119, 123, 126, 130, 134, 136, 140, 1, 143, 27, 148, 50, 152, 72, 6, 155, 159, 163, 166, 169, 172, + 173, 175, 179, 183, 187, 190, 194, 198, 202, 52, 206, 83, 84, 211, 215, 218, 221, 224, 226, 229, 233, 237, 240, 15, 7, 20, 246, 250, 253, 256, + 259, 260, 262, 265, 269, 270, 274, 278, 281, 285, 287, 289, 291, 294, 297, 301, 304, 307, 310, 313, 316, 319, 322, 325, 328, 331, 333, 335, 337, 339, + 342, 10, 345, 349, 353, 355, 358, 361, 219, 117, 365, 369, 372, 263, 375, 378, 381, 384, 387, 389, 392, 394, 397, 26, 401, 404, 408, 411, 391, 416, + 418, 421, 424, 426, 428, 46, 432, 348, 357, 438, 441, 442, 444, 446, 450, 451, 454, 264, 273, 463, 465, 467, 469, 472, 474, 234, 479, 482, 485, 488, + 491, 494, 497, 500, 503, 18, 505, 508, 512, 514, 516, 519, 412, 138, 523, 527, 232, 445, 532, 535, 538, 541, 544, 547, 550, 554, 192, 558, 560, 563, + 566, 568, 106, 571, 573, 368, 578, 306, 338, 585, 588, 40, 587, 593, 193, 599, 603, 605, 607, 611, 615, 619, 622, 167, 626, 629, 631, 283, 634, 637, + 639, 641, 642, 645, 649, 652, 655, 658, 659, 661, 663, 666, 667, 669, 178, 139, 677, 679, 681, 682, 618, 688, 43, 694, 697, 101, 702, 704, 706, 709, + 617, 714, 609, 718, 197, 721, 30, 590, 725, 728, 729, 632, 733, 423, 272, 610, 299, 738, 741, 276, 329, 744, 747, 75, 750, 752, 754, 757, 758, 760, + 144, 765, 511, 712, 773, 34, 776, 158, 782, 214, 204, 786, 787, 791, 794, 797, 800, 802, 804, 600, 809, 318, 813, 815, 816, 409, 823, 703, 827, 831, + 833, 548, 209, 840, 38, 844, 846, 581, 850, 853, 856, 859, 861, 777, 864, 867, 869, 789, 852, 23, 874, 875, 877, 880, 882, 309, 417, 886, 763, 891, + 894, 897, 899, 400, 131, 746, 906, 125, 435, 908, 910, 690, 913, 731, 235, 917, 557, 920, 921, 924, 926, 929, 402, 623, 935, 938, 44, 941, 942, 945, + 594, 64, 662, 953, 957, 961, 964, 967, 970, 928, 830, 128, 839, 574, 978, 176, 981, 983, 526, 986, 481, 390, 992, 995, 994, 999, 129, 1004, 1007, 1008, + 1010, 1014, 1018, 1021, 97, 1023, 461, 1026, 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1668, 1844, 1993, 998 +] +private def meinhold2016Gen1Rev : Array (Fin 2016) := #[ + 20, 46, 0, 746, 1, 1094, 53, 84, 2, 1312, 121, 759, 3, 1103, 27, 83, 4, 1307, 185, 5, 85, 7, 6, 349, 24, 697, 143, 48, 8, 1721, + 276, 1059, 9, 1051, 305, 829, 10, 1725, 334, 11, 221, 588, 12, 262, 386, 13, 155, 15, 14, 508, 50, 725, 69, 22, 16, 1273, 456, 694, 17, 684, + 480, 923, 18, 1278, 391, 995, 19, 444, 840, 21, 476, 26, 52, 1870, 583, 293, 23, 941, 1785, 617, 25, 691, 831, 71, 72, 28, 1873, 671, 482, 29, + 1270, 693, 917, 30, 1315, 611, 31, 424, 913, 32, 1681, 265, 33, 34, 1607, 35, 212, 764, 436, 36, 1769, 650, 1510, 37, 1346, 38, 544, 129, 437, 39, + 1766, 791, 783, 40, 1677, 367, 41, 1637, 401, 416, 42, 364, 632, 454, 43, 1771, 44, 967, 193, 255, 45, 1406, 935, 47, 300, 1871, 990, 471, 49, 844, + 1451, 739, 51, 915, 924, 54, 1934, 776, 307, 55, 1482, 1058, 769, 56, 1610, 1014, 57, 233, 622, 58, 1533, 446, 59, 60, 1606, 61, 405, 625, 254, 62, + 1411, 1033, 1808, 63, 1348, 1127, 1119, 64, 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1842, 888, 1268, + 889, 890, 1252, 892, 1466, 1163, 894, 895, 896, 1988, 1767, 898, 1407, 1142, 1699, 900, 1347, 1797, 2012, 904, 906, 1654, 1453, 1609, 914, 1151, 1893, 920, 921, 1003, + 1985, 1125, 1926, 927, 1138, 1132, 1548, 968, 959, 1359, 1144, 1951, 1996, 1943, 1972, 1530, 947, 1590, 1015, 1782, 1821, 1891, 960, 1261, 961, 964, 1551, 1254, 1327, 1670, + 1056, 1114, 969, 1110, 1246, 975, 977, 1511, 1519, 982, 1475, 984, 1337, 985, 1237, 986, 1792, 989, 1160, 1621, 1367, 1994, 998, 1045, 1796, 1005, 1009, 1616, 1468, 1050, + 1345, 1017, 1018, 1265, 1372, 1438, 1057, 1022, 2002, 1849, 1843, 1174, 1030, 1672, 1034, 1360, 1847, 1632, 1309, 1600, 1993, 1048, 1157, 1049, 1818, 1927, 1317, 1193, 1696, 1054, + 1380, 1811, 1060, 1760, 1062, 1664, 1064, 1217, 1646, 1069, 1182, 1880, 1555, 1960, 1282, 1074, 1863, 1838, 1442, 1113, 1384, 1079, 1753, 1614, 1082, 1084, 1086, 1091, 1582, 1093, + 1249, 1676, 1781, 1956, 1481, 1506, 1101, 2003, 1281, 1501, 1213, 1678, 1875, 1225, 1112, 1140, 1535, 1889, 1522, 1128, 1130, 1915, 1857, 1955, 1133, 1734, 1134, 1824, 1279, 1295, + 1143, 1855, 1794, 1692, 1175, 1544, 1325, 1570, 1920, 1165, 1939, 1744, 1467, 1173, 2013, 1402, 1177, 1803, 1768, 1179, 1206, 1500, 1234, 1183, 1220, 1187, 1636, 1192, 1605, 1349, + 1485, 1953, 1197, 1856, 1470, 1386, 1205, 1208, 1791, 1211, 1370, 1214, 1711, 1226, 1227, 2007, 1245, 1230, 1232, 1612, 1647, 1240, 1242, 1243, 1989, 1248, 1250, 1964, 1462, 1708, + 1813, 1330, 1257, 1736, 1861, 1430, 1271, 1449, 1527, 1850, 1776, 1332, 1575, 1280, 1735, 1710, 1853, 2008, 1839, 1297, 1299, 1619, 1301, 1302, 1958, 1304, 1305, 1642, 1844, 1316, + 1878, 1439, 1714, 1899, 1701, 1324, 1520, 1335, 1954, 1338, 1344, 1352, 1624, 1594, 1364, 1371, 1780, 1872, 1390, 1980, 1397, 1474, 1537, 1571, 1663, 1586, 1417, 1815, 1877, 1587, + 1423, 1424, 1427, 1517, 1639, 1662, 1435, 1977, 1772, 1441, 1773, 1448, 1452, 1456, 1868, 1669, 1961, 1905, 1483, 1992, 1486, 1492, 1493, 1497, 1968, 1603, 1641, 1514, 1518, 1565, + 1643, 1523, 1801, 1686, 1538, 1700, 1697, 1543, 1562, 1888, 1557, 1564, 1566, 2014, 1862, 1894, 1946, 1630, 1795, 1648, 1830, 1745, 1657, 1786, 1660, 1668, 1798, 2005, 1848, 1774, + 1896, 1995, 1812, 1901, 1783, 1949 +] +private def meinhold2016Gen2Fwd : Array (Fin 2016) := #[ + 3, 5, 9, 13, 17, 11, 23, 25, 29, 33, 37, 1, 43, 0, 49, 51, 55, 59, 63, 67, 68, 70, 73, 77, 78, 31, 81, 82, 86, 90, + 94, 7, 100, 2, 104, 106, 110, 114, 116, 120, 124, 127, 131, 135, 137, 141, 142, 144, 145, 149, 150, 57, 153, 154, 156, 160, 164, 15, 170, 4, + 174, 176, 180, 184, 188, 191, 195, 199, 203, 204, 75, 207, 208, 212, 216, 21, 222, 6, 201, 230, 234, 238, 88, 241, 242, 243, 247, 251, 27, 257, + 8, 261, 102, 266, 132, 271, 275, 279, 282, 286, 288, 290, 268, 293, 298, 302, 112, 308, 311, 284, 299, 320, 35, 326, 10, 107, 296, 168, 157, 340, + 343, 344, 346, 350, 354, 356, 359, 133, 345, 362, 366, 370, 30, 41, 376, 12, 177, 385, 98, 87, 393, 249, 398, 399, 147, 405, 409, 47, 414, 14, + 396, 422, 301, 236, 158, 429, 433, 341, 53, 439, 16, 443, 172, 447, 196, 452, 455, 458, 460, 464, 466, 468, 449, 471, 383, 477, 182, 483, 486, 462, + 475, 495, 61, 501, 18, 504, 506, 509, 513, 515, 517, 197, 505, 520, 524, 528, 56, 65, 533, 19, 539, 24, 545, 20, 551, 555, 556, 403, 210, 564, + 72, 569, 22, 572, 574, 577, 580, 97, 582, 586, 589, 590, 592, 194, 596, 600, 604, 606, 608, 612, 616, 620, 377, 623, 627, 630, 52, 633, 26, 496, + 640, 431, 245, 646, 650, 84, 656, 28, 660, 45, 664, 139, 542, 670, 673, 674, 678, 680, 231, 323, 685, 689, 692, 695, 698, 699, 703, 705, 92, 710, + 712, 687, 716, 425, 719, 722, 723, 213, 726, 217, 730, 235, 138, 734, 735, 736, 737, 739, 32, 742, 743, 745, 748, 749, 227, 252, 38, 123, 34, 36, + 762, 766, 769, 543, 774, 775, 330, 779, 115, 777, 785, 315, 788, 638, 795, 108, 801, 803, 757, 806, 810, 811, 814, 562, 817, 820, 824, 825, 828, 532, + 781, 835, 837, 841, 842, 845, 847, 849, 851, 602, 857, 118, 862, 39, 865, 868, 352, 573, 756, 871, 297, 876, 122, 881, 40, 884, 733, 887, 888, 892, + 895, 587, 368, 900, 901, 903, 415, 907, 129, 421, 42, 911, 534, 561, 914, 918, 919, 625, 922, 375, 927, 930, 932, 60, 936, 44, 939, 727, 943, 946, + 947, 948, 950, 954, 958, 962, 50, 968, 46, 549, 972, 973, 976, 71, 979, 48, 982, 566, 985, 988, 167, 989, 993, 996, 998, 130, 1001, 1005, 949, 1009, + 1011, 1015, 1019, 1022, 758, 720, 1024, 321, 1027, 644, 1033, 83, 1039, 54, 1043, 965, 1046, 1047, 1048, 1049, 423, 498, 1052, 1056, 1057, 1060, 1061, 1065, 797, 162, + 1070, 1072, 1054, 1076, 1077, 628, 1079, 406, 410, 1081, 117, 1084, 1085, 1086, 1087, 617, 58, 575, 1091, 1093, 1096, 1097, 419, 435, 187, 62, 1106, 917, 966, 1113, + 1114, 380, 1116, 136, 661, 1121, 490, 1124, 677, 1131, 178, 1136, 636, 1102, 1140, 1144, 1145, 1148, 975, 1151, 1154, 1158, 1159, 1162, 1165, 1168, 511, 983, 1171, 474, + 681, 186, 1179, 64, 1182, 1083, 1183, 1187, 1190, 994, 526, 1194, 552, 1196, 223, 1200, 193, 229, 66, 1204, 974, 1205, 1206, 1207, 764, 1209, 1211, 1035, 1216, 1218, + 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1817, 1674, 1974, 754, 485, 1500, 747, 1095, 1959, 1130, 1143, 869, 1059, 1447, 1430, 805, 1038, 1554, 647, 1558, + 1611, 1622, 870, 349, 694, 910, 1638, 1459, 1640, 1979, 1968, 1990, 351, 1995, 1972, 1961, 1910, 1877, 872, 879, 1912, 353, 1644, 1128, 883, 355, 1109, 401, 765, 358, + 1428, 2000, 1376, 1132, 2001, 655, 1975, 651, 2003, 840, 906, 725, 1199, 1881, 1741, 1514, 363, 1329, 882, 1913, 1306, 1312, 1422, 1819, 1506, 1466, 1690, 1962, 1138, 1478, + 1421, 1971, 530, 1477, 1373, 2009, 931, 382, 1103, 1339, 956, 1493, 386, 1785, 1866, 428, 2010, 418, 392, 1284, 1742, 1837, 1864, 1768, 682, 1189, 1125, 434, 456, 478, + 1830, 397, 1213, 933, 755, 1963, 853, 404, 1578, 523, 507, 1310, 1991, 1092, 1916, 1980, 1977, 1633, 1305, 991, 519, 1999, 1928, 1616, 1398, 1643, 585, 786, 1997, 1533, + 798, 899, 1157, 1503, 1869, 1127, 1020, 1486, 1978, 426, 1117, 631, 1892, 1300, 1814, 1750, 432, 1902, 1099, 1045, 1141, 599, 438, 1996, 1370, 605, 442, 1754, 1233, 1988, + 1326, 915, 1940, 446, 1724, 1462, 459, 2012, 1946, 1865, 921, 450, 1263, 451, 1715, 940, 928, 1683, 1752, 1994, 1663, 1872, 1074, 1981, 852, 1032, 1455, 1846, 1770, 1834, + 1607, 1247, 1831, 1107, 1400, 615, 2013, 1240, 1688, 1094, 1572, 1118, 1014, 1815, 1767, 1111, 1146, 1120, 1396, 1440, 1150, 1653, 641, 1507, 1886, 1597, 1793, 1973, 1678, 1364, + 967, 1984, 1966, 2008, 1153, 500, 1652, 959, 1567, 1829, 1841, 1170, 508, 1849, 1896, 2007, 2014, 1172, 728, 1909, 792, 1181, 514, 626, 1285, 796, 1925, 697, 1317, 521, + 1509, 1180, 2002, 1307, 1464, 1536, 1382, 804, 540, 1021, 1948, 1967, 1426, 1941, 688, 1677, 1229, 1026, 1775, 597, 1731, 1790, 1287, 926, 1288, 833, 1268, 1468, 963, 1055, + 629, 1450, 1788, 1424, 1411, 783, 1942, 1289, 1900, 1956, 1274, 578, 1042, 659, 1675, 637, 1882, 1897, 1333, 1843, 1577, 1419, 1628, 1949, 1804, 732, 1774, 787, 1721, 1494, + 613, 1119, 1461, 639, 619, 1964, 1908, 1634, 1983, 1656, 1985, 1123, 1002, 1458, 1998, 1630, 878, 1016, 1549, 675, 1945, 2015, 1844, 1175, 1894, 1772, 1067, 1911, 2006, 1669, + 1564, 704, 1722, 1955, 818, 1431, 1278, 1437, 706, 1177, 1527, 1485, 1875, 1784, 1856, 721, 1149, 1970, 1935, 1934, 1871, 1311, 1927, 1137, 1280, 1929, 802, 986, 1023, 874, + 1987, 1826, 1739, 1732, 1802, 1417, 1082, 1725, 2005, 1654, 875, 1952, 1862, 815, 1078, 1727, 1502, 1273, 1969, 1880, 1174, 1989, 1992, 2011, 1777, 1769, 1870, 1281, 1152, 1066, + 1575, 1658, 2004, 1385, 1797, 1873 +] +private def meinhold2016Gen2Rev : Array (Fin 2016) := #[ + 13, 11, 33, 0, 59, 1, 77, 31, 90, 2, 114, 5, 135, 3, 149, 57, 160, 4, 184, 199, 203, 75, 212, 6, 201, 7, 238, 88, 247, 8, + 132, 25, 288, 9, 298, 112, 299, 10, 296, 343, 354, 133, 370, 12, 385, 249, 398, 147, 405, 14, 396, 15, 236, 158, 433, 16, 196, 51, 466, 17, + 383, 182, 475, 18, 513, 197, 528, 19, 20, 551, 21, 403, 210, 22, 580, 70, 592, 23, 24, 616, 627, 26, 27, 431, 245, 646, 28, 139, 82, 680, + 29, 689, 268, 703, 30, 687, 722, 217, 138, 737, 32, 743, 92, 749, 34, 769, 35, 115, 315, 735, 36, 810, 106, 824, 37, 308, 38, 460, 341, 857, + 39, 865, 352, 297, 40, 733, 892, 41, 868, 368, 415, 42, 94, 127, 919, 43, 483, 44, 282, 251, 954, 45, 46, 549, 47, 48, 988, 144, 998, 49, + 50, 1019, 766, 52, 53, 644, 54, 118, 154, 1049, 55, 1056, 449, 1065, 56, 1054, 628, 410, 117, 1087, 58, 1091, 162, 1097, 60, 917, 61, 136, 490, 1085, + 62, 1144, 176, 1158, 63, 1165, 511, 474, 64, 1083, 1187, 65, 1168, 526, 223, 66, 164, 191, 1207, 67, 1218, 78, 1232, 68, 69, 624, 1242, 71, 72, 588, + 208, 1262, 73, 277, 579, 867, 74, 279, 598, 1040, 591, 855, 76, 524, 648, 581, 1304, 294, 614, 527, 79, 258, 625, 1330, 80, 281, 153, 1337, 81, 1145, + 1345, 83, 84, 85, 595, 242, 1374, 86, 1225, 141, 1173, 87, 295, 1185, 980, 594, 1399, 89, 620, 562, 1406, 91, 1415, 999, 701, 1423, 93, 1436, 102, 1444, + 1448, 95, 740, 720, 1365, 96, 1227, 572, 1063, 97, 1427, 630, 98, 1475, 109, 565, 99, 1481, 100, 1483, 101, 1489, 1013, 103, 606, 542, 116, 350, 104, 110, + 768, 152, 105, 1228, 1521, 831, 781, 1525, 107, 1522, 1530, 108, 971, 1344, 821, 311, 1356, 547, 808, 1557, 111, 427, 1563, 259, 822, 1582, 113, 1388, 885, 1206, + 306, 848, 1231, 877, 1598, 1375, 1596, 1261, 866, 1303, 119, 157, 1580, 120, 121, 128, 122, 1266, 873, 1623, 123, 1632, 346, 1641, 124, 1645, 125, 890, 1649, 126, + 1090, 1286, 129, 1666, 905, 1265, 130, 558, 362, 1015, 131, 568, 764, 1255, 826, 379, 134, 232, 793, 918, 481, 944, 1687, 174, 1176, 137, 1692, 1465, 1357, 1267, + 1166, 952, 1698, 140, 1516, 1368, 150, 1711, 142, 143, 763, 1647, 995, 207, 1717, 145, 457, 987, 1167, 146, 458, 1003, 657, 997, 148, 366, 1031, 945, 1697, 472, + 1017, 369, 151, 440, 1456, 273, 1749, 811, 1695, 155, 1000, 241, 1756, 156, 1707, 473, 570, 850, 1762, 159, 1022, 975, 1766, 161, 1272, 593, 1773, 163, 1544, 172, + 1781, 1783, 165, 1089, 1328, 166, 1708, 982, 167, 1776, 168, 1487, 179, 977, 169, 1322, 170, 1271, 171, 1473, 610, 173, 1009, 965, 509, 180, 1108, 175, 1709, 1258, + 924, 927, 1254, 177, 1379, 1604, 178, 553, 1397, 1155, 486, 1321, 970, 1142, 1571, 181, 239, 1556, 441, 1156, 1835, 183, 1238, 668, 185, 192, 186, 1720, 1842, 187, + 1401, 506, 1497, 188, 1852, 189, 1221, 190, 741, 1730, 193, 1859, 1198, 1719, 194, 560, 520, 612, 195, 978, 1682, 1160, 329, 198, 372, 1129, 1588, 1217, 1403, 200, + 1868, 789, 252, 303, 1565, 202, 1053, 803, 1222, 399, 1452, 204, 522, 1124, 916, 205, 206, 827, 907, 1161, 1200, 373, 323, 1378, 209, 736, 407, 1235, 911, 211, + 1046, 1569, 213, 347, 214, 467, 1275, 215, 1901, 574, 216, 600, 218, 1372, 1283, 1736, 219, 361, 564, 220, 221, 589, 222, 1060, 674, 650, 224, 1879, 582, 1761, + 225, 1034, 339, 1453, 226, 1765, 227, 1122, 228, 1591, 1096, 1517, 229, 1920, 608, 1805, 230, 465, 1325, 1924, 231, 1523, 1432, 233, 555, 377, 1853, 234, 455, 1890, + 235, 1751, 773, 237, 1351, 618, 492, 1905, 313, 1923, 240, 1822, 1545, 913, 429, 799, 243, 1618, 596, 1474, 244, 1657, 960, 1354, 744, 1655, 246, 993, 1244, 1903, + 248, 484, 1260, 1472, 250, 1435, 794, 751, 1162, 770, 253, 912, 1391, 254, 255, 1939, 1215, 488, 256, 800, 257, 510, 1704, 1214, 1008, 260, 1355, 271, 1874, 261, + 1589, 1414, 262, 935, 1624, 263, 1202, 1857, 264, 265, 1191, 698, 567, 266, 1951, 267, 1958, 658, 1208, 1499, 269, 1446, 270, 836, 1469, 550, 272, 603, 1112, 274, + 425, 1965, 275, 276, 909, 1661, 278, 387, 1848, 714, 280, 1007, 1915, 356, 283, 284, 285, 286, 984, 287, 716, 1190, 289, 290, 1276, 291, 1511, 1606, 292, 293, + 1253, 1387, 767, 1292, 1603, 1714, 348, 318, 424, 1210, 746, 1551, 300, 972, 534, 1648, 301, 1496, 762, 302, 1389, 611, 1520, 1336, 304, 305, 621, 309, 812, 307, + 1350, 330, 1515, 1895, 1529, 310, 1737, 1917, 312, 1224, 1343, 1324, 1850, 922, 1386, 314, 1855, 448, 1740, 1358, 1290, 316, 1976, 317, 1867, 1615, 319, 1393, 757, 1315, + 320, 321, 1524, 844, 322, 1993, 1539, 324, 1954, 1581, 325, 795, 817, 1318, 326, 327, 914, 1246, 328, 1479, 690, 775, 1463, 1885, 1135, 331, 1449, 332, 1203, 1491, + 1659, 333, 334, 1451, 1570, 335, 880, 336, 835, 337, 1047, 338, 1794, 1716, 1500, 590, 1439, 340, 1543, 1130, 1059, 1447, 342, 1554, 1133, 344, 851, 577, 345, 1611, + 1622, 349, 1638, 756, 1979, 1990, 351, 841, 1936, 1639, 1186, 353, 1668, 1644, 355, 828, 1109, 357, 358, 584, 887, 942, 359, 1062, 1223, 360, 583, 893, 1199, 1741, + 363, 364, 1329, 365, 1012, 901, 1660, 367, 1312, 1362, 1625, 371, 1390, 1353, 374, 1771, 1239, 477, 375, 376, 990, 1780, 378, 1478, 1114, 1421, 1883, 380, 1786, 1373, + 381, 1686, 382, 1713, 910, 1416, 384, 1339, 1493, 386, 1785, 1294, 1178, 388, 930, 1005, 389, 390, 391, 418, 392, 1284, 948, 1430, 393, 694, 1690, 1428, 394, 1837, + 1314, 1306, 395, 1888, 1125, 435, 478, 1830, 397, 686, 636, 788, 400, 401, 530, 498, 402, 1086, 1204, 404, 673, 1578, 406, 507, 1480, 408, 1977, 566, 409, 411, + 1241, 1729, 1305, 412, 519, 976, 413, 996, 414, 695, 1033, 416, 1932, 989, 1398, 417, 651, 1470, 1405, 419, 786, 420, 1219, 748, 1812, 421, 1937, 1011, 1503, 422, + 1746, 1869, 423, 1978, 426, 1020, 1877, 428, 622, 1134, 1300, 1001, 1795, 430, 1302, 537, 1359, 1092, 1616, 432, 586, 1249, 1902, 434, 1099, 1759, 436, 437, 438, 439, + 1370, 605, 442, 1234, 452, 1889, 443, 444, 840, 1612, 445, 446, 897, 726, 933, 447, 2009, 1946, 1041, 921, 450, 1263, 451, 931, 1792, 928, 453, 454, 1994, 456, + 1074, 459, 1986, 515, 461, 462, 463, 464, 576, 1076, 895, 468, 1723, 469, 1809, 1607, 470, 471, 1247, 1758, 1107, 1240, 493, 1688, 1094, 1572, 476, 1803, 1106, 1646, + 1014, 1815, 1454, 479, 480, 1146, 482, 1750, 1811, 1921, 1817, 485, 1308, 1931, 487, 1706, 1396, 1745, 1643, 1209, 1609, 489, 1653, 1313, 1327, 1342, 491, 1973, 1678, 1584, + 494, 1760, 1102, 1610, 495, 496, 1816, 941, 497, 1966, 1820, 499, 2008, 1834, 500, 1131, 1151, 1742, 501, 502, 1205, 1251, 503, 1567, 798, 504, 947, 985, 505, 1459, + 1841, 508, 1847, 664, 2000, 1943, 936, 1959, 891, 512, 1861, 1851, 514, 516, 991, 670, 846, 517, 700, 1705, 518, 1188, 906, 1317, 521, 1509, 523, 609, 552, 1662, + 525, 1307, 1418, 1593, 529, 531, 532, 533, 1441, 535, 1510, 536, 1422, 1712, 1404, 1395, 538, 1035, 539, 904, 540, 1183, 1237, 1291, 541, 660, 1558, 723, 543, 1876, + 544, 837, 545, 1768, 546, 702, 852, 548, 1159, 554, 1807, 920, 556, 672, 707, 1288, 557, 1801, 1045, 1068, 1468, 559, 963, 1492, 1116, 561, 1450, 882, 1113, 563, + 1380, 849, 569, 1782, 571, 903, 573, 946, 1886, 915, 783, 575, 1057, 1997, 1900, 1088, 654, 1424, 1956, 578, 1974, 2007, 585, 889, 1699, 1854, 587, 1882, 1884, 1897, + 679, 894, 1498, 655, 1147, 597, 829, 688, 599, 792, 1753, 1055, 601, 602, 604, 1728, 1670, 1863, 607, 1548, 1721, 1971, 1671, 864, 652, 1566, 613, 1858, 1586, 615, + 639, 1136, 617, 619, 1535, 635, 1770, 1029, 1077, 1667, 623, 626, 1507, 1908, 629, 631, 632, 633, 634, 1689, 1189, 637, 834, 1534, 638, 640, 1597, 641, 1309, 642, + 1369, 1338, 1181, 643, 1371, 969, 801, 943, 645, 1537, 1458, 647, 724, 1127, 1829, 719, 649, 1407, 962, 780, 1764, 653, 896, 1684, 656, 845, 1652, 659, 1259, 661, + 662, 663, 1866, 878, 665, 2013, 666, 667, 825, 669, 671, 1243, 1118, 1560, 675, 676, 1818, 677, 1734, 678, 1804, 681, 682, 1216, 683, 684, 685, 1519, 1002, 1175, + 1213, 1894, 691, 1486, 1412, 692, 693, 1985, 696, 1911, 697, 1680, 1672, 699, 1893, 858, 1872, 730, 1650, 725, 1614, 1955, 1028, 704, 732, 1384, 705, 1957, 706, 1585, + 1819, 708, 1527, 709, 710, 711, 1445, 1613, 712, 713, 1891, 1599, 715, 717, 718, 1796, 758, 1139, 1933, 1627, 721, 1922, 1775, 1590, 1864, 727, 1675, 728, 1887, 729, + 731, 1549, 1381, 1093, 1366, 734, 879, 1683, 1679, 1296, 738, 739, 1119, 742, 853, 1961, 1747, 1084, 819, 745, 747, 1595, 750, 1691, 1919, 782, 752, 1179, 753, 1443, + 1605, 754, 1996, 1743, 1437, 755, 1674, 1823, 1150, 1860, 759, 760, 761, 765, 1665, 1495, 958, 771, 772, 1367, 1518, 774, 777, 776, 778, 779, 1455, 1960, 784, 1528, + 785, 787, 1564, 1739, 790, 791, 1865, 1036, 1016, 1576, 1123, 796, 1082, 1425, 797, 1349, 1514, 1229, 1348, 1938, 833, 1512, 802, 804, 1617, 805, 1148, 806, 1619, 1141, + 807, 1032, 1461, 814, 1950, 1230, 809, 1838, 1494, 1264, 813, 1140, 1810, 926, 815, 2010, 816, 1910, 1718, 818, 862, 1488, 820, 1285, 1457, 856, 823, 1143, 1211, 830, + 832, 1197, 1172, 838, 1180, 839, 847, 1825, 842, 843, 1120, 1506, 1280, 1501, 1121, 854, 1490, 1800, 1177, 859, 1587, 1620, 860, 861, 953, 1555, 1733, 863, 1361, 1226, + 869, 870, 1621, 871, 955, 934, 872, 1169, 1912, 874, 1935, 875, 876, 1727, 1927, 1485, 1577, 1026, 1626, 1476, 1628, 881, 883, 1735, 1642, 884, 886, 973, 1513, 888, + 957, 1174, 1836, 1821, 1989, 1293, 1929, 1006, 2011, 1058, 1192, 1429, 898, 1790, 899, 1546, 900, 902, 1257, 1949, 961, 908, 1212, 1440, 1601, 1904, 956, 1875, 1828, 923, + 925, 1311, 974, 1787, 929, 1066, 1073, 932, 1808, 937, 1676, 938, 939, 940, 1382, 1027, 1575, 949, 950, 951, 1157, 959, 1464, 1233, 1402, 1340, 964, 1043, 1079, 966, + 967, 968, 1410, 1064, 1505, 1784, 1484, 979, 981, 1196, 983, 1918, 1952, 1037, 1774, 1987, 986, 1995, 992, 1184, 994, 1880, 1983, 1038, 1004, 1128, 1282, 1010, 1273, 1982, + 1164, 1664, 1700, 1018, 1021, 1363, 1025, 1413, 1023, 1024, 1755, 1335, 1788, 1030, 1767, 1117, 1039, 1042, 1044, 1248, 1559, 1298, 1048, 1502, 1050, 1051, 1052, 1814, 1703, 2005, + 1798, 1269, 1945, 1061, 1916, 1878, 1081, 2004, 1067, 1536, 1069, 1070, 1071, 1072, 1963, 1693, 1075, 1477, 1892, 1078, 1881, 1426, 1080, 1826, 1236, 1561, 1526, 2014, 1326, 1153, + 1095, 1098, 1984, 1100, 1914, 1319, 1385, 1101, 1103, 1104, 1105, 1392, 1110, 1111, 1754, 1813, 1115, 1600, 1126, 1673, 1508, 1132, 1347, 1332, 1268, 1346, 1981, 1137, 1138, 1839, + 1710, 1802, 1149, 1152, 1799, 1154, 1376, 1701, 1163, 1364, 1170, 1840, 1171, 1909, 1942, 1281, 1797, 1592, 1467, 1843, 1299, 1352, 1182, 1331, 1583, 1541, 1964, 1420, 1193, 1194, + 1195, 1594, 1992, 1201, 1702, 1779, 1694, 1553, 1220, 1744, 2006, 1970, 1791, 2015, 1297, 1962, 1547, 1637, 1462, 1295, 1999, 1663, 1906, 1573, 1245, 1550, 1824, 1250, 1252, 1301, + 1334, 1256, 1752, 1277, 1944, 1270, 1844, 1907, 1274, 1278, 1898, 1279, 1757, 1377, 1466, 1341, 1287, 1289, 1926, 1849, 1636, 1947, 1640, 1669, 1400, 1434, 1724, 1531, 1310, 1568, + 1316, 1482, 1562, 1320, 1323, 1856, 1333, 1972, 1732, 1975, 1417, 1540, 1408, 1360, 1969, 1968, 1383, 1538, 1471, 1394, 1772, 1873, 1896, 1409, 1411, 1940, 1778, 1419, 1870, 1913, + 1532, 1433, 1991, 1431, 1579, 1953, 1899, 1504, 1438, 1608, 1442, 1635, 1677, 1715, 1925, 1460, 1832, 1871, 1630, 1998, 1967, 1681, 1634, 1827, 1602, 1656, 1552, 1726, 1748, 1629, + 1725, 1793, 1533, 1928, 1831, 1930, 1542, 1980, 1769, 2001, 1631, 1722, 2002, 1574, 1789, 1633, 1763, 1738, 1934, 1731, 1651, 1654, 1862, 1658, 2012, 1988, 1948, 1845, 1833, 1685, + 1696, 2003, 1777, 1806, 1846, 1941 +] + +private theorem meinhold2016Gen1Fwd_size : meinhold2016Gen1Fwd.size = 2016 := by native_decide +private theorem meinhold2016Gen1Rev_size : meinhold2016Gen1Rev.size = 2016 := by native_decide +private theorem meinhold2016Gen2Fwd_size : meinhold2016Gen2Fwd.size = 2016 := by native_decide +private theorem meinhold2016Gen2Rev_size : meinhold2016Gen2Rev.size = 2016 := by native_decide + +/-- G₂(2) generators acting on the 2016 cosets of C₆. -/ +def meinhold2016Gens : Fin 2 → Equiv.Perm (Fin 2016) + | 0 => { + toFun := fun v => meinhold2016Gen1Fwd[v.val]'(by have := meinhold2016Gen1Fwd_size; omega) + invFun := fun v => meinhold2016Gen1Rev[v.val]'(by have := meinhold2016Gen1Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + | 1 => { + toFun := fun v => meinhold2016Gen2Fwd[v.val]'(by have := meinhold2016Gen2Fwd_size; omega) + invFun := fun v => meinhold2016Gen2Rev[v.val]'(by have := meinhold2016Gen2Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + +/-! ## BFS witness words -/ + +private def meinhold2016WitnessWords (v : Fin 2016) : List (Fin 4) := + match v with + | 0 => [] | 1 => [1, 3, 1, 2, 1, 1, 3, 1, 2] | 2 => [0] | 3 => [2] + | 4 => [1, 3, 1, 2, 1, 1, 3, 1, 2, 0] | 5 => [1, 3, 1, 2, 1, 1, 3, 1, 3] | 6 => [3, 1, 2, 0, 0, 0, 3, 0, 2] | 7 => [0, 0, 2, 1, 3, 0, 2, 1, 3] + | 8 => [0, 0] | 9 => [0, 2] | 10 => [2, 1, 2, 1, 2, 1] | 11 => [1, 3, 1, 2, 1, 1, 3, 1] + | 12 => [2, 0] | 13 => [3] | 14 => [2, 1, 3, 0, 2, 1, 3, 1] | 15 => [3, 1, 3, 0, 0, 3, 1, 1, 3] + | 16 => [1, 1, 2, 1, 3, 0, 2, 1, 3, 1] | 17 => [1, 2, 0, 2, 1, 2, 1, 2, 1, 1] | 18 => [2, 1, 3, 0, 3, 0, 2, 0] | 19 => [1, 3, 1, 2, 1, 1, 3, 1, 3, 0] + | 20 => [1] | 21 => [0, 2, 0, 3, 1, 2, 0, 3] | 22 => [1, 3, 1, 3, 1, 1, 3, 0, 3] | 23 => [0, 3, 1, 3, 0, 0, 3, 1, 1] + | 24 => [3, 1, 1, 2, 0, 0, 2, 1, 3, 1, 2] | 25 => [0, 0, 2, 1, 3, 0, 2, 1] | 26 => [1, 2, 1, 2, 0, 0, 2, 0, 2] | 27 => [1, 2, 0, 3, 1, 2, 0, 3] + | 28 => [0, 0, 0] | 29 => [0, 0, 2] | 30 => [1, 1, 2, 0, 2, 0, 2, 0] | 31 => [0, 0, 3, 1, 2, 0, 3, 1] + | 32 => [0, 2, 0] | 33 => [0, 3] | 34 => [3, 1, 3, 0, 2] | 35 => [1, 2, 1, 1, 2, 0, 0] + | 36 => [2, 1, 2, 1, 2] | 37 => [2, 1, 2, 1, 2, 1, 2] | 38 => [1, 2, 0, 0, 0, 3] | 39 => [1, 3, 1, 2, 1, 1, 3] + | 40 => [3, 0, 0, 3, 0, 2] | 41 => [1, 2, 0, 0, 2, 0, 3, 0, 3] | 42 => [2, 0, 0] | 43 => [2, 0, 2] + | 44 => [2, 1, 3, 1, 3, 1, 2] | 45 => [3, 0] | 46 => [3, 0, 2, 0, 0, 3, 0, 2] | 47 => [1, 2, 0, 2, 1, 1, 2, 1, 2] + | 48 => [2, 1, 3, 0, 2, 1, 3] | 49 => [0, 0, 0, 2, 1, 3, 0, 2, 1] | 50 => [3, 0, 3, 0, 0, 3, 1, 3] | 51 => [3, 1, 3, 0, 0, 3, 1, 1] + | 52 => [2, 0, 3, 1, 2, 0, 3] | 53 => [2, 0, 2, 0, 0, 3, 0, 0, 3] | 54 => [1, 1, 2, 1, 3, 0, 2, 1, 3] | 55 => [1, 3, 1, 3, 1, 1, 2, 0, 2, 1] + | 56 => [0, 0, 3, 1, 1, 3, 0, 0] | 57 => [2, 0, 0, 0, 3, 0, 2, 0, 0] | 58 => [1, 2, 0, 2, 1, 2, 1, 2, 1] | 59 => [1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2] + | 60 => [2, 0, 2, 0, 0, 3, 0, 2, 0] | 61 => [3, 1, 2, 0, 2] | 62 => [0, 0, 2, 0, 0, 0, 3, 1, 1] | 63 => [1, 1, 2, 1, 3, 1, 1, 2, 0] + | 64 => [0, 0, 0, 2, 1, 3, 0, 2, 0, 0] | 65 => [0, 3, 0, 0, 3, 1, 1, 3, 1] | 66 => [1, 2, 0, 3, 0, 0, 3, 0, 0, 2] | 67 => [1, 2, 0, 3, 1, 2, 1, 2, 1, 1] + | 68 => [1, 2] | 69 => [0, 2, 1, 3, 0, 2, 1, 3] | 70 => [0, 2, 0, 3, 1, 2, 0] | 71 => [0, 3, 1, 2, 0, 0, 0, 3, 0, 2] + | 72 => [2, 0, 3, 1, 2, 0, 3, 0] | 73 => [1, 3, 1, 3, 1, 1, 3, 0] | 74 => [0, 3, 0, 0, 0, 2, 1, 2] | 75 => [0, 3, 0, 2, 1, 3, 0] + | 76 => [0, 3, 1, 3, 0, 0, 3, 1] | 77 => [3, 1, 2, 0, 0, 0, 3, 0] | 78 => [3, 1, 1, 3, 0, 3, 0, 3, 0, 0] | 79 => [1, 3, 1, 1, 3, 0, 0] + | 80 => [0, 0, 2, 1, 3, 0, 2] | 81 => [1, 2, 1, 2, 0, 0, 2, 0, 3] | 82 => [1, 2, 0, 3, 1, 2, 0] | 83 => [2, 1, 1, 2, 0, 0, 2, 1, 2] + | 84 => [1, 3, 0, 2, 0, 0, 3, 0, 2] | 85 => [1, 1] | 86 => [0, 0, 0, 2] | 87 => [3, 0, 0, 0, 3, 0, 3, 0] + | 88 => [1, 3, 0, 2, 1, 3, 0] | 89 => [0, 0, 2, 0] | 90 => [0, 0, 3] | 91 => [1, 3, 1, 3, 0, 2] + | 92 => [0, 3, 0, 3] | 93 => [1, 1, 2, 0, 2, 0, 2, 0, 0] | 94 => [1, 2, 0, 0, 3, 1, 3, 0] | 95 => [1, 3, 1, 1, 3, 1] + | 96 => [0, 0, 3, 1, 2, 0, 3] | 97 => [1, 3, 0, 0, 3, 0, 2] | 98 => [3, 1, 3, 0, 0, 0, 3, 0, 3] | 99 => [0, 2, 0, 0] + | 100 => [0, 2, 0, 2] | 101 => [1, 1, 2, 0, 2, 0, 2, 1, 1] | 102 => [0, 3, 0] | 103 => [0, 3, 0, 2, 1, 2] + | 104 => [3, 1, 3, 0, 3] | 105 => [1, 2, 1, 1, 2, 0, 0, 0] | 106 => [1, 2, 1, 1, 2, 0, 0, 2] | 107 => [1, 2, 0, 0, 0, 3, 0, 2] + | 108 => [0, 2, 1, 3, 0, 2, 0, 0, 0] | 109 => [2, 1, 2, 1, 2, 0] | 110 => [2, 1, 2, 1, 3] | 111 => [0, 0, 2, 1, 1, 3, 0, 3] + | 112 => [1, 2, 1, 1, 2, 0, 0, 3] | 113 => [1, 2, 1, 1, 3, 0, 3] | 114 => [2, 1, 2, 1, 2, 1, 3] | 115 => [1, 2, 0, 0, 0, 3, 0] + | 116 => [1, 2, 0, 0, 0] | 117 => [0, 3, 1, 1, 3, 0, 2, 1, 2] | 118 => [1, 3, 0, 0, 3, 1, 1, 3] | 119 => [1, 3, 1, 2, 1, 1, 3, 0] + | 120 => [1, 3, 1, 2, 1, 1] | 121 => [2, 1, 2, 1, 2, 1, 1] | 122 => [0, 0, 3, 1, 3, 0] | 123 => [3, 0, 0, 3, 0, 2, 0] + | 124 => [3, 0, 0, 3, 0, 3] | 125 => [1, 1, 2, 1, 1, 2, 1] | 126 => [2, 1, 1, 2, 1, 2, 0, 3] | 127 => [1, 2, 0, 0, 2, 0, 3, 0] + | 128 => [0, 0, 3, 1, 3, 0, 0, 3] | 129 => [3, 0, 2, 1, 1, 2, 1, 3] | 130 => [2, 0, 0, 0] | 131 => [2, 0, 0, 2] + | 132 => [1, 1, 2, 0, 2, 0, 2, 0, 3] | 133 => [2, 0, 0, 0, 3, 0, 2, 1] | 134 => [2, 0, 2, 0] | 135 => [2, 0, 3] + | 136 => [1, 3, 0, 2, 1, 3, 1, 3] | 137 => [2, 1, 3, 1, 3, 1, 3] | 138 => [0, 3, 0, 0, 3, 0, 0, 2, 1] | 139 => [3, 0, 0, 0, 3, 0, 3, 0, 3] + | 140 => [3, 0, 0] | 141 => [3, 0, 2] | 142 => [1, 1, 2, 0, 3, 1, 2, 0] | 143 => [3, 1, 3, 1, 1, 3, 0, 3] + | 144 => [0, 0, 3, 0, 3, 0, 0, 3, 1] | 145 => [2, 1, 3, 0, 2, 1] | 146 => [1, 1, 3, 1, 1, 3, 0, 0] | 147 => [1, 2, 0, 2, 1, 1, 2, 1] + | 148 => [0, 0, 0, 2, 1, 3, 0, 2] | 149 => [3, 1, 3, 1, 3, 1, 2, 0] | 150 => [3, 0, 3, 0, 0, 3, 1] | 151 => [0, 2, 0, 2, 0, 2, 0] + | 152 => [3, 1, 3, 0, 0, 3, 1] | 153 => [2, 0, 3, 1, 2, 0] | 154 => [2, 0, 2, 0, 0, 3, 0, 0] | 155 => [1, 2, 1, 3, 0, 2, 1, 3] + | 156 => [1, 1, 2, 1, 3, 0, 2, 1] | 157 => [1, 3, 0, 0, 3, 1, 1] | 158 => [1, 1, 2, 1, 2, 0, 0, 2, 0] | 159 => [1, 3, 1, 3, 1, 1, 2, 0, 2] + | 160 => [0, 0, 0, 3, 0, 2, 0, 0, 3, 0] | 161 => [1, 2, 1, 2, 0] | 162 => [1, 1, 3, 1, 3, 1, 2, 1, 2, 0] | 163 => [3, 1, 3, 1, 3, 0, 0, 2] + | 164 => [0, 0, 3, 1, 1, 3, 0, 0, 2] | 165 => [0, 2, 0, 2, 0, 2, 1, 1] | 166 => [0, 0, 0, 2, 0, 2, 1, 1, 2] | 167 => [0, 0, 2, 1, 3, 0, 2, 0, 0] + | 168 => [3, 0, 0, 3, 1, 1, 3, 1] | 169 => [1, 2, 0, 2, 1, 2, 1, 2] | 170 => [1, 3, 1, 1, 3, 0, 3, 1] | 171 => [0, 0, 3, 1, 1, 3, 1] + | 172 => [1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1] | 173 => [1, 2, 0, 2, 1, 1, 2, 1, 1, 3] | 174 => [0, 0, 0, 3, 0, 3, 0, 2, 0] | 175 => [0, 3, 0, 3, 1, 2] + | 176 => [3, 1, 2, 0, 3] | 177 => [1, 3, 0, 2, 1, 3, 1] | 178 => [3, 0, 3, 1, 1, 3] | 179 => [0, 0, 2, 0, 0, 0, 3, 1] + | 180 => [1, 1, 2, 0, 3, 1, 1, 3, 0] | 181 => [0, 2, 1, 3, 1, 1, 2, 0, 0] | 182 => [3, 1, 2, 0] | 183 => [1, 2, 0, 0, 3, 1, 2, 1, 2] + | 184 => [2, 1, 3, 0, 3, 0, 2, 0, 3] | 185 => [2, 1, 3, 0, 3, 0, 2] | 186 => [1, 1, 3, 1, 3, 1, 3] | 187 => [0, 3, 1, 2, 1, 1, 2, 1, 1, 3] + | 188 => [0, 0, 0, 3, 0, 0, 2, 1, 2, 0] | 189 => [0, 3, 1, 1, 3, 0, 3] | 190 => [0, 3, 0, 0, 3, 1, 1, 3] | 191 => [2, 1, 3, 0, 0, 3, 1, 1] + | 192 => [2, 1, 3, 1, 1, 3, 0, 2] | 193 => [1, 1, 2, 0, 2, 1, 1, 2, 0] | 194 => [0, 0, 2, 0, 2, 0, 2, 1, 1, 2] | 195 => [0, 0, 0, 3, 0, 0, 3, 1, 3, 1] + | 196 => [0, 0, 3, 1, 1, 3, 0, 0, 3] | 197 => [0, 0, 3, 1, 2, 0, 3, 0, 0] | 198 => [1, 2, 0, 3, 1, 2, 1, 2, 1] | 199 => [0, 2, 0, 0, 3, 1, 1, 2, 1, 1] + | 200 => [1, 3, 0, 0, 0, 2, 0, 2] | 201 => [3, 1, 1, 2, 0, 0, 2, 1, 3, 1] | 202 => [1, 2, 0] | 203 => [1, 3] + | 204 => [0, 2, 1, 3, 0, 2, 1] | 205 => [2, 0, 3, 0, 0, 2, 1, 3] | 206 => [0, 2, 0, 3, 1, 2, 0, 0] | 207 => [0, 3, 1, 2, 0, 0, 0, 3, 0, 3] + | 208 => [2, 0, 3, 1, 2, 0, 3, 0, 2] | 209 => [1, 2, 0, 2, 0, 2, 0] | 210 => [3, 0, 3, 0, 3, 0, 2, 1] | 211 => [1, 2, 1, 2, 1, 1, 3, 1] + | 212 => [1, 2, 1, 1, 2, 0, 0, 2, 1] | 213 => [0, 3, 1, 3, 0, 2] | 214 => [1, 1, 2, 1, 1, 2, 0, 0] | 215 => [0, 3, 0, 0, 0, 3, 1, 3] + | 216 => [0, 3, 0, 0, 0, 2, 1, 3] | 217 => [1, 3, 0, 0, 3, 0] | 218 => [3, 1, 2, 1, 1, 3] | 219 => [0, 3, 0, 0, 3, 0, 2] + | 220 => [2, 0, 2, 0, 3, 1, 3] | 221 => [0, 3, 1, 3, 0, 0, 3] | 222 => [0, 3, 1, 3, 0, 0, 3, 1, 2] | 223 => [0, 0, 2, 0, 2, 0, 2, 1, 1] + | 224 => [1, 1, 2, 0, 2, 1, 1, 2] | 225 => [0, 3, 1, 1, 3, 0, 0] | 226 => [0, 2, 0, 3, 1, 3, 1, 1, 3, 1] | 227 => [0, 3, 1, 3, 1] + | 228 => [1, 3, 1, 2, 0, 2] | 229 => [0, 0, 0, 3, 0, 0, 3, 1] | 230 => [1, 3, 1, 1, 3, 0, 0, 2] | 231 => [2, 0, 3, 1, 2, 1, 1] + | 232 => [0, 3, 0, 0, 3, 1, 2, 0, 3] | 233 => [0, 0, 2, 1, 3, 0, 2, 0] | 234 => [0, 0, 2, 1, 3, 0, 3] | 235 => [1, 1, 2, 1, 2, 1, 2, 1] + | 236 => [3, 0, 2, 1, 3, 0] | 237 => [0, 0, 0, 2, 1, 2, 1, 1, 3, 1] | 238 => [1, 2, 1, 2, 0, 0, 2, 0] | 239 => [2, 0, 0, 0, 3, 0, 0, 0] + | 240 => [1, 2, 0, 3, 1, 2, 0, 0] | 241 => [2, 1, 1, 2, 0, 0, 2, 1, 3] | 242 => [1, 3, 0, 2, 0, 0, 3, 0, 3] | 243 => [1, 1, 2] + | 244 => [0, 0, 0, 2, 1, 2, 1, 2, 1] | 245 => [1, 3, 0, 2, 0, 0, 3, 0] | 246 => [0, 0, 0, 2, 0] | 247 => [0, 0, 0, 3] + | 248 => [0, 2, 0, 0, 3, 0, 0, 3] | 249 => [3, 0, 3] | 250 => [3, 1, 1, 2, 1, 1, 2, 1] | 251 => [0, 2, 1, 1, 3, 0, 0, 3, 0] + | 252 => [1, 1, 3, 1, 1, 3, 1] | 253 => [1, 3, 0, 2, 1, 3, 0, 0] | 254 => [0, 3, 1, 1, 3, 1, 2] | 255 => [0, 0, 2, 1, 2, 1, 3, 0, 3] + | 256 => [0, 0, 2, 0, 0] | 257 => [0, 0, 2, 0, 2] | 258 => [1, 2, 1, 2, 1, 2, 0, 0] | 259 => [0, 0, 3, 0] + | 260 => [3, 0, 2, 1, 2] | 261 => [1, 3, 1, 3, 0, 3] | 262 => [2, 0, 2, 1] | 263 => [2, 0, 0, 0, 3, 0, 2] + | 264 => [3, 1, 2, 1, 1, 2, 1, 1, 3] | 265 => [1, 3, 1, 1, 2, 1, 1, 2] | 266 => [0, 0, 0, 3, 0, 0, 0, 3, 1] | 267 => [2, 1, 3, 1, 1, 2, 1] + | 268 => [0, 3, 0, 2] | 269 => [1, 2, 0, 0, 3, 1, 3, 0, 0] | 270 => [1, 3, 1, 1, 3] | 271 => [1, 3, 1, 1, 3, 1, 2] + | 272 => [3, 0, 2, 1, 3, 1, 1] | 273 => [3, 0, 0, 3, 1, 1, 3] | 274 => [0, 0, 3, 1, 2, 0, 3, 0] | 275 => [0, 0, 3, 1, 2, 0] + | 276 => [1, 1, 2, 0, 2, 0, 2] | 277 => [0, 3, 1, 3, 0] | 278 => [1, 2, 0, 2, 0, 0, 3] | 279 => [1, 3, 0, 0, 3, 0, 3] + | 280 => [1, 1, 3, 0, 3, 0, 0, 0] | 281 => [1, 1, 2, 1, 2, 1, 2, 1, 3] | 282 => [3, 1, 3, 0, 0, 0, 3, 0] | 283 => [0, 0, 0, 2, 1, 2, 1, 1, 3] + | 284 => [2, 1, 2, 1, 2, 0, 2] | 285 => [0, 2, 0, 0, 0] | 286 => [0, 2, 0, 0, 2] | 287 => [0, 2, 0, 2, 0] + | 288 => [0, 2, 0, 3] | 289 => [1, 1, 2, 0, 2, 0, 2, 1] | 290 => [1, 2, 0, 3, 1, 2, 1, 1] | 291 => [0, 3, 0, 0] + | 292 => [0, 0, 0, 3, 0, 3, 0, 3, 1] | 293 => [0, 3, 0, 2, 1, 3] | 294 => [0, 3, 1, 3, 1, 3] | 295 => [0, 0, 0, 2, 0, 0, 0, 2] + | 296 => [1, 2, 0, 0, 0, 2] | 297 => [3, 1, 3, 0, 3, 0] | 298 => [3, 1, 3, 0] | 299 => [2, 1, 2, 1] + | 300 => [1, 1, 3, 1, 3, 1, 1, 3] | 301 => [1, 2, 1, 1, 2, 1, 1] | 302 => [1, 1, 3, 1, 3, 1, 2, 1] | 303 => [1, 3, 0, 0, 0] + | 304 => [1, 1, 3, 1, 2, 1, 2, 1, 3] | 305 => [1, 2, 0, 3, 1, 3] | 306 => [1, 3, 0, 0, 3, 0, 0] | 307 => [1, 1, 2, 1, 2, 0, 0, 2] + | 308 => [1, 2, 0, 0, 0, 3, 0, 3] | 309 => [1, 1, 2, 1, 1, 2, 0] | 310 => [0, 2, 1, 3, 0, 2, 1, 1] | 311 => [1, 1, 3, 0, 3, 0, 3, 1] + | 312 => [1, 3, 1, 1, 2, 1, 3, 1, 3] | 313 => [2, 1, 2, 1, 2, 0, 0] | 314 => [3, 0, 2, 0, 2, 1, 1, 3] | 315 => [1, 1, 2, 1, 2, 0, 2, 0] + | 316 => [2, 1, 2, 1, 3, 0] | 317 => [1, 3, 0, 2] | 318 => [1, 2, 1, 3, 0, 0, 0, 2] | 319 => [2, 1, 1, 3, 0, 2, 0, 2] + | 320 => [0, 0, 2, 1, 1, 3, 0] | 321 => [3, 0, 0, 0, 2, 0, 3] | 322 => [1, 1, 3, 1, 1, 2, 1, 3] | 323 => [0, 0, 3, 0, 2] + | 324 => [2, 0, 0, 3, 1, 3, 0, 0] | 325 => [1, 2, 1, 1, 3, 0, 3, 0] | 326 => [1, 2, 1, 1, 3, 0] | 327 => [0, 3, 1, 1, 3, 1, 2, 1, 2] + | 328 => [0, 0, 3, 0, 0, 0, 2] | 329 => [1, 2, 0, 3, 1, 2, 1] | 330 => [1, 3, 0, 0, 3, 0, 0, 2] | 331 => [1, 2, 0, 0, 0, 3, 0, 0] + | 332 => [1, 2, 0, 2, 0, 2] | 333 => [1, 2, 1, 1] | 334 => [1, 1, 3, 0, 0, 3] | 335 => [0, 3, 1, 2, 1, 2, 0, 3] + | 336 => [0, 0, 3, 1, 3, 1, 3, 0] | 337 => [0, 3, 1, 1, 3, 0, 0, 3, 1] | 338 => [3, 1, 2, 1, 1, 3, 0] | 339 => [1, 3, 0, 0, 2, 0, 0, 3, 1] + | 340 => [0, 0, 0, 3, 0, 2, 0, 2, 1] | 341 => [1, 3, 0, 0, 3, 1, 1, 2] | 342 => [1, 3, 1, 2, 1] | 343 => [1, 3, 1, 2, 1, 1, 2] + | 344 => [2, 1, 2, 1, 2, 1, 1, 2] | 345 => [0, 0, 3, 1, 3, 0, 0] | 346 => [0, 0, 3, 1, 3, 0, 2] | 347 => [1, 3, 1, 1, 3, 0, 3, 0, 0] + | 348 => [1, 3, 0, 0, 3, 1] | 349 => [3, 0, 0, 3, 0, 2, 0, 0] | 350 => [3, 1, 3, 0, 3, 0, 3] | 351 => [0, 0, 0, 3, 1, 1, 2] + | 352 => [1, 2, 1, 1, 3, 1] | 353 => [3, 0, 0, 3, 0, 3, 0] | 354 => [3, 0, 0, 3, 0] | 355 => [1, 1, 2, 1, 1, 2] + | 356 => [1, 1, 2, 1, 1, 2, 1, 2] | 357 => [0, 0, 3, 0, 2, 0, 0, 0, 3] | 358 => [1, 2, 1, 1, 2, 1, 3, 1, 3] | 359 => [2, 1, 1, 2, 1, 2, 0] + | 360 => [1, 3, 1, 2, 1, 3, 0] | 361 => [0, 0, 3, 0, 0, 2, 1, 2, 1] | 362 => [3, 0, 2, 1, 1, 2, 1] | 363 => [1, 2, 1, 2, 1, 2, 1, 1] + | 364 => [2, 0, 0, 2, 1] | 365 => [2, 1, 1] | 366 => [2, 0, 0, 0, 2] | 367 => [1, 1, 2, 1, 1, 2, 1, 1] + | 368 => [3, 0, 2, 1, 1, 2, 1, 2] | 369 => [0, 2, 1, 2, 1] | 370 => [2, 0, 0, 3] | 371 => [1, 2, 1, 2, 1, 1] + | 372 => [0, 3, 1, 1, 3, 1, 1, 2, 0, 2] | 373 => [1, 1, 3, 1, 3, 0] | 374 => [1, 3, 0, 0, 0, 3, 0, 3] | 375 => [2, 0, 2, 0, 0] + | 376 => [2, 0, 2, 0, 2] | 377 => [0, 3, 0, 0, 3, 1, 2, 0] | 378 => [2, 0, 3, 0] | 379 => [2, 0, 2, 0, 0, 3] + | 380 => [0, 0, 3, 0, 2, 0, 0, 3, 1] | 381 => [3, 0, 3, 0, 0, 0, 2] | 382 => [0, 2, 0, 0, 3, 0, 3, 0, 0, 2] | 383 => [3, 1, 3, 1, 2, 1, 1, 3, 1] + | 384 => [1, 1, 2, 0, 3, 1, 2, 1] | 385 => [2, 1, 3, 1, 3, 1] | 386 => [1, 3, 1, 2, 0, 3, 0, 3] | 387 => [0, 3, 0, 0, 3, 0, 0, 2] + | 388 => [1, 1, 2, 0, 0, 2] | 389 => [0, 3, 1, 1, 2, 0, 2, 0, 0, 3] | 390 => [1, 2, 0, 2, 1, 1, 2, 0] | 391 => [0, 0, 0, 2, 1, 3, 0, 2, 0] + | 392 => [3, 0, 0, 0] | 393 => [3, 0, 0, 2] | 394 => [3, 0, 2, 0] | 395 => [3, 1, 1, 3, 0, 0] + | 396 => [0, 2, 0, 2, 1, 1, 2, 1] | 397 => [0, 2, 0, 0, 3, 0, 3, 0, 3] | 398 => [3, 0, 2, 0, 0, 3, 0] | 399 => [3, 1, 3, 1, 1, 3, 0] + | 400 => [1, 2, 1, 2, 1, 2, 1] | 401 => [0, 0, 3, 0, 3, 0, 0, 3] | 402 => [0, 2, 0, 3, 0, 0, 2, 1, 3] | 403 => [0, 3, 1, 2, 0, 0, 0, 3, 0] + | 404 => [2, 1, 3, 0, 2] | 405 => [3, 1, 2, 0, 3, 1] | 406 => [0, 2, 1, 1, 3, 1, 2, 1, 1] | 407 => [3, 0, 3, 0, 3, 0] + | 408 => [1, 1, 3, 1, 1, 3, 0, 0, 0] | 409 => [1, 1, 3, 1, 1, 3, 0, 0, 2] | 410 => [3, 1, 1, 2, 1, 1, 2, 0] | 411 => [1, 2, 0, 2, 1, 1, 2] + | 412 => [0, 2, 0, 3, 1, 2, 1, 1] | 413 => [3, 0, 0, 3, 1, 2, 0, 3] | 414 => [0, 0, 0, 2, 1, 3, 0, 3] | 415 => [2, 0, 0, 0, 3] + | 416 => [0, 0, 0, 3, 1, 2, 0, 3] | 417 => [0, 0, 2, 0, 0, 2, 0, 2, 1] | 418 => [3, 0, 3, 0, 0, 3] | 419 => [2, 1, 3, 0, 0, 0, 3, 1, 1, 3] + | 420 => [1, 1, 3, 0, 3] | 421 => [0, 2, 1, 2, 1, 2] | 422 => [2, 1, 1, 3, 0, 3, 1] | 423 => [0, 0, 0, 3, 1, 1, 3, 1, 2] + | 424 => [3, 1, 3, 0, 0, 3] | 425 => [3, 0, 0, 3, 1, 1] | 426 => [2, 0, 3, 1, 2, 0, 0] | 427 => [3, 0, 0, 0, 2, 0, 2] + | 428 => [2, 1, 1, 2, 1, 1, 3] | 429 => [1, 2, 1, 3, 0, 2, 1] | 430 => [0, 2, 1, 3, 1, 1, 2, 0, 3] | 431 => [2, 1, 1, 2, 0, 0, 2, 1] + | 432 => [1, 1, 2, 1, 3, 0, 2] | 433 => [1, 1, 3, 1, 2, 0, 3, 1] | 434 => [2, 1, 2, 0] | 435 => [0, 0, 2, 0, 3, 0, 3, 0, 2] + | 436 => [0, 2, 1, 3, 0, 2, 0, 0] | 437 => [0, 3, 0, 2, 1, 3, 1, 1, 2] | 438 => [2, 1, 2, 1, 2, 0, 0, 2, 1] | 439 => [0, 2, 1, 1, 3, 1, 1, 3, 0] + | 440 => [0, 0, 0, 3, 1, 1, 3, 1] | 441 => [1, 3, 0, 0, 2, 0, 3, 1, 3] | 442 => [1, 2, 1, 2, 0, 0] | 443 => [1, 2, 1, 2, 0, 2] + | 444 => [1, 2, 1, 2, 0, 0, 0, 3, 1, 3] | 445 => [0, 3, 0, 2, 0, 0, 3, 1] | 446 => [0, 0, 3, 1, 1, 3, 1, 1] | 447 => [3, 1, 1, 3, 0, 2, 1, 1] + | 448 => [0, 0, 2, 0, 3, 0, 0, 2] | 449 => [0, 0, 0, 3, 0, 0, 2, 0, 3, 0, 0] | 450 => [2, 0, 0, 3, 1, 2, 1, 2] | 451 => [0, 2, 0, 2, 0, 2, 1] + | 452 => [1, 2, 1, 3, 1, 3, 1, 3] | 453 => [1, 2, 1, 2, 0, 0, 2, 1, 1] | 454 => [1, 2, 0, 3, 0, 2, 0, 3] | 455 => [0, 0, 0, 2, 0, 2, 1, 1, 3] + | 456 => [0, 0, 3, 1, 1, 3, 0] | 457 => [1, 1, 3, 0, 3, 0, 2, 0, 2] | 458 => [0, 0, 3, 0, 0, 2, 1, 2, 0] | 459 => [3, 1, 1, 3, 0, 3] + | 460 => [0, 3, 1, 1, 3, 0, 2, 1] | 461 => [2, 0, 3, 1, 2, 0, 0, 0] | 462 => [3, 1, 2, 0, 0, 2, 1, 3] | 463 => [1, 2, 0, 2, 1, 2, 1, 2, 0] + | 464 => [1, 3, 1, 3, 1, 3, 0] | 465 => [1, 3, 1, 1, 3, 0, 3] | 466 => [1, 1, 3, 1, 3, 1, 1, 2, 0] | 467 => [0, 0, 3, 1, 1, 3] + | 468 => [2, 0, 2, 0, 0, 3, 1] | 469 => [1, 1, 2, 0, 0, 2, 0, 2, 0, 2] | 470 => [0, 2, 1, 1, 2] | 471 => [1, 2, 0, 2, 1, 1, 2, 1, 1] + | 472 => [2, 1, 3, 0, 0, 0, 3, 1, 1, 2] | 473 => [0, 0, 2, 0, 3, 0, 3, 0] | 474 => [1, 1, 2, 0, 3, 0, 0, 3, 1] | 475 => [1, 3, 1, 3, 1, 3, 0, 0] + | 476 => [0, 2, 0, 3, 1, 2] | 477 => [0, 3, 0, 3, 1, 3] | 478 => [3, 0, 2, 0, 0, 3, 1, 1] | 479 => [3, 1, 2, 0, 3, 0] + | 480 => [2, 0, 2, 0, 0, 3, 0, 2] | 481 => [3, 0, 0, 0, 3, 0, 3, 1] | 482 => [1, 3, 0, 2, 1, 3] | 483 => [2, 0, 3, 1, 1, 2, 1] + | 484 => [3, 0, 3, 0, 3] | 485 => [3, 1, 3, 1, 1, 3] | 486 => [3, 0, 3, 1, 1] | 487 => [0, 3, 1, 2, 0, 3] + | 488 => [0, 0, 2, 0, 0, 0, 3] | 489 => [1, 3, 1, 2, 1, 2, 1, 1, 3] | 490 => [3, 0, 3, 1, 1, 2] | 491 => [2, 0, 0, 0, 3, 0, 0, 2, 1] + | 492 => [1, 1, 2, 1, 2, 0, 0, 3, 0] | 493 => [1, 1, 2, 0, 3, 0, 0, 2] | 494 => [3, 0, 3, 1, 1, 2, 0, 0, 3] | 495 => [0, 0, 0, 2, 1, 3, 1, 1, 3, 1] + | 496 => [1, 1, 2, 0, 3, 0, 0, 2, 1] | 497 => [3, 1, 2, 0, 0] | 498 => [1, 3, 0, 0, 2, 0, 3, 1] | 499 => [0, 2, 0, 3, 0, 0, 2] + | 500 => [0, 0, 2, 0, 3, 0, 0, 0, 2] | 501 => [1, 1, 3, 1, 3, 1, 2, 0, 0] | 502 => [3, 1, 3, 1, 3, 0] | 503 => [1, 3, 1, 1, 3, 0, 2, 1, 3] + | 504 => [2, 1, 3, 0, 3, 0, 3] | 505 => [1, 1, 3, 1, 3, 1, 3, 0] | 506 => [1, 1, 3, 1, 3, 1] | 507 => [0, 0, 2, 1, 1, 2, 0] + | 508 => [2, 0, 0, 3, 1, 2, 0, 0, 2] | 509 => [0, 3, 1, 2, 1, 1, 2, 1, 1] | 510 => [3, 1, 2, 1, 2, 0] | 511 => [1, 1, 3, 1, 3, 1, 2] + | 512 => [1, 1, 2, 0, 0, 2, 0, 3, 1] | 513 => [1, 1, 2, 1, 2, 1, 2, 0, 0] | 514 => [3, 0, 3, 0, 3, 1] | 515 => [0, 3, 1, 1, 3, 0] + | 516 => [0, 3, 0, 0, 3, 1, 1, 3, 0] | 517 => [0, 3, 0, 0, 3, 1, 1] | 518 => [0, 2, 0, 3, 0, 2] | 519 => [2, 1, 3, 0, 0, 3, 1] + | 520 => [1, 3, 1, 2, 0, 0, 2, 1] | 521 => [0, 0, 0, 3, 1, 1, 3, 0] | 522 => [1, 1, 2, 0, 0, 2, 0, 0, 0, 3] | 523 => [1, 1, 3, 0, 3, 0, 2, 0, 0, 2] + | 524 => [1, 3, 0, 0, 0, 3, 0, 0, 0] | 525 => [0, 3, 1, 1, 3, 0, 3, 1] | 526 => [1, 1, 3, 1, 1, 3, 1, 1] | 527 => [0, 0, 0, 3, 0, 0, 3, 1, 3] + | 528 => [1, 2, 0, 3, 0, 0, 3, 0, 0] | 529 => [0, 2, 1, 2, 0, 3, 0] | 530 => [1, 1, 2, 1, 2, 0, 3] | 531 => [3, 0, 0, 3, 0, 0, 0] + | 532 => [1, 2, 0, 3, 1, 2, 1, 2] | 533 => [1, 1, 2, 0, 0, 0, 3, 0, 0] | 534 => [1, 1, 2, 0, 0, 2, 0, 3, 0] | 535 => [0, 2, 0, 0, 3, 1, 1, 2, 1] + | 536 => [3, 1, 2, 0, 0, 0, 2, 0, 2] | 537 => [2, 1, 1, 2, 0, 0] | 538 => [1, 3, 0, 0, 0, 3, 1, 3] | 539 => [1, 3, 0, 0, 0, 2, 0, 3] + | 540 => [1, 1, 2, 1, 2, 1, 1, 3, 0, 3] | 541 => [3, 1, 1, 2, 0, 0, 2, 1, 3] | 542 => [0, 0, 0, 2, 0, 0, 0] | 543 => [1, 3, 0, 0, 0, 2] + | 544 => [1, 2, 0, 0] | 545 => [1, 2, 0, 2] | 546 => [2, 0, 2, 0, 2, 1, 1] | 547 => [1, 3, 0] + | 548 => [1, 1, 3, 0, 0, 3, 1, 1] | 549 => [3, 1, 3, 1, 1, 3, 0, 2] | 550 => [0, 2, 1, 3, 0, 2] | 551 => [0, 3, 1, 2, 0, 3, 1] + | 552 => [1, 1, 2, 0, 0, 2, 0, 0, 0] | 553 => [0, 3, 1, 2, 0, 2] | 554 => [0, 2, 1, 2, 0, 3, 0, 0, 2] | 555 => [2, 0, 3, 0, 0, 2, 1] + | 556 => [0, 2, 0, 3, 1, 2, 0, 0, 2] | 557 => [2, 0, 2, 0, 2, 0] | 558 => [1, 1, 2, 1, 1, 2, 1, 1, 3] | 559 => [1, 1, 2, 0, 0, 0, 3, 0, 0, 0] + | 560 => [0, 2, 0, 2, 1, 2, 1, 2, 1] | 561 => [1, 1, 3, 1, 3, 0, 2] | 562 => [0, 0, 3, 0, 3] | 563 => [1, 2, 0, 2, 0, 2, 0, 0] + | 564 => [2, 0, 0, 3, 1, 3, 0] | 565 => [3, 1, 1, 3, 1] | 566 => [3, 0, 3, 0, 3, 0, 2] | 567 => [0, 0, 0, 3, 0, 0, 0, 2] + | 568 => [1, 2, 1, 2, 1, 1, 3] | 569 => [0, 0, 0, 3, 0, 3, 0, 0] | 570 => [0, 2, 1, 3, 0, 2, 0, 0, 3] | 571 => [0, 0, 3, 0, 2, 1, 2] + | 572 => [2, 1, 1, 3, 1] | 573 => [1, 1, 2, 1, 1, 2, 0, 0, 0] | 574 => [1, 1, 2, 1, 1, 2, 0, 0, 2] | 575 => [0, 0, 3, 1, 1] + | 576 => [1, 3, 1, 1, 3, 0, 3, 0, 3] | 577 => [0, 3, 0, 0, 0, 3, 1] | 578 => [0, 0, 2, 1, 3, 0, 0, 0, 2] | 579 => [1, 1, 2, 1, 1, 2, 0, 0, 3] + | 580 => [0, 3, 0, 0, 0, 2, 1] | 581 => [0, 3, 1, 1, 3, 0, 0, 3] | 582 => [3, 1, 2, 1, 1] | 583 => [0, 0, 3, 0, 3, 0, 0, 0, 2] + | 584 => [0, 2, 0, 0, 2, 1] | 585 => [0, 3, 0, 0, 3, 0, 2, 0] | 586 => [0, 3, 0, 0, 3, 0, 3] | 587 => [0, 0, 3, 0, 0, 2, 1, 2, 1, 2] + | 588 => [1, 2, 0, 2, 0, 2, 0, 3] | 589 => [2, 0, 2, 0, 3, 1] | 590 => [0, 3, 1, 3, 0, 0] | 591 => [2, 0, 2, 0, 3, 1, 2] + | 592 => [0, 3, 1, 3, 0, 0, 3, 1, 3] | 593 => [0, 0, 2, 0, 2, 0, 2, 1] | 594 => [0, 0, 2, 1, 2, 1, 3, 0, 2] | 595 => [0, 0, 0, 2, 1, 2, 1, 2, 1, 3] + | 596 => [1, 1, 2, 0, 2, 1, 1, 3] | 597 => [3, 1, 2, 0, 0, 0, 2, 1] | 598 => [3, 1, 2, 1, 1, 2] | 599 => [0, 3, 1, 1, 3, 0, 0, 0] + | 600 => [0, 3, 1, 1, 3, 0, 0, 2] | 601 => [0, 2, 0, 3, 0, 3, 0, 3] | 602 => [1, 2, 0, 0, 0, 2, 0, 0, 0, 3] | 603 => [0, 2, 0, 3, 1, 3, 1, 1, 3] + | 604 => [1, 1, 2, 1, 1, 2, 0, 2, 0] | 605 => [0, 3, 1, 3] | 606 => [0, 3, 1, 3, 1, 2] | 607 => [3, 0, 3, 1, 2] + | 608 => [1, 3, 1, 2, 0, 3] | 609 => [3, 0, 2, 1, 3, 1] | 610 => [0, 2, 1, 1] | 611 => [0, 0, 0, 3, 0, 0, 3] + | 612 => [1, 2, 0, 0, 0, 2, 0, 0] | 613 => [1, 2, 0, 3, 0, 0, 2] | 614 => [1, 3, 1, 2, 0] | 615 => [0, 0, 2, 0, 0, 3, 1, 3, 1] + | 616 => [1, 3, 1, 1, 3, 0, 0, 3] | 617 => [1, 3, 1, 1, 3, 0] | 618 => [0, 2, 1, 2, 0, 3] | 619 => [2, 0, 3, 1, 2, 1] + | 620 => [3, 1, 1, 2, 0, 2, 1] | 621 => [0, 2, 0, 2, 1, 3, 1, 1] | 622 => [2, 1, 3, 1, 1, 2, 0, 2] | 623 => [3, 1, 3, 1, 2, 1, 1, 3] + | 624 => [2, 0, 3, 0, 0, 2, 1, 2] | 625 => [1, 3, 0, 2, 1, 3, 1, 1] | 626 => [0, 0, 2, 1, 3, 0, 3, 0] | 627 => [0, 0, 2, 1, 3, 0] + | 628 => [0, 0, 0, 2, 0, 2, 1, 1] | 629 => [1, 1, 2, 1, 2, 1, 2] | 630 => [2, 0, 0, 3, 1, 1, 3, 1] | 631 => [0, 3, 1, 2, 1, 1, 3] + | 632 => [1, 2, 0, 2, 0, 3, 1, 3] | 633 => [1, 3, 0, 0, 0, 3, 0, 2, 1] | 634 => [1, 2, 0, 0, 3, 0, 2, 0, 2] | 635 => [0, 2, 1, 2, 0] + | 636 => [0, 0, 0, 3, 0, 3, 0, 3, 0] | 637 => [2, 0, 0, 0, 3, 1, 1] | 638 => [2, 1, 2, 1, 2, 0, 0, 2] | 639 => [1, 2, 0, 3, 1, 2, 0, 0, 0] + | 640 => [3, 1, 3, 1, 1, 2, 0, 3] | 641 => [1, 1, 2, 1, 2, 1, 1, 3, 1] | 642 => [2, 0, 0, 3, 0, 3, 0, 3] | 643 => [1, 2, 1, 1, 2, 1, 2, 0] + | 644 => [1, 3, 1, 2, 0, 3, 1] | 645 => [1, 1, 2, 0] | 646 => [1, 1, 3] | 647 => [0, 0, 0, 2, 1, 2, 0, 0, 0, 2] + | 648 => [1, 1, 2, 0, 2, 1, 1] | 649 => [0, 0, 0, 2, 1, 2, 1, 2] | 650 => [0, 0, 2, 1, 1, 3, 0, 3, 1] | 651 => [1, 2, 0, 3, 0, 2, 0, 2, 0] + | 652 => [1, 3, 0, 2, 0, 0, 3, 0, 0] | 653 => [1, 2, 1, 2, 1, 1, 3, 0] | 654 => [0, 3, 0, 0, 0, 2] | 655 => [0, 0, 0, 2, 0, 0] + | 656 => [0, 0, 0, 2, 0, 2] | 657 => [2, 1, 1, 2, 1, 2, 1, 1] | 658 => [0, 0, 0, 3, 0] | 659 => [1, 3, 1, 3, 1, 3, 1] + | 660 => [0, 2, 0, 0, 3, 0, 0] | 661 => [3, 0, 3, 0] | 662 => [3, 1, 1] | 663 => [3, 1, 1, 2, 1, 1, 2] + | 664 => [1, 2, 1, 1, 2, 1, 3, 1, 1] | 665 => [1, 1, 2, 1, 3, 0, 0, 0, 2] | 666 => [0, 0, 2, 1, 3, 1, 1, 2, 1] | 667 => [1, 1, 3, 1, 1, 3] + | 668 => [1, 3, 1, 1, 3, 0, 2, 1, 2] | 669 => [0, 3, 0, 2, 0, 2, 1, 3] | 670 => [0, 0, 3, 0, 3, 0, 3, 0, 3] | 671 => [3, 0, 0, 0, 3, 0, 3] + | 672 => [0, 2, 1, 1, 3, 1, 2] | 673 => [0, 3, 1, 1, 3, 1, 3] | 674 => [0, 0, 2, 1, 2, 1, 3, 0] | 675 => [2, 0, 2, 0, 0, 3, 1, 1] + | 676 => [2, 1, 3, 0, 0, 2, 0, 3] | 677 => [0, 0, 2, 0, 0, 0] | 678 => [0, 0, 2, 0, 0, 2] | 679 => [0, 0, 2, 0, 2, 0] + | 680 => [0, 0, 2, 0, 3] | 681 => [3, 1, 2, 1, 2, 0, 2] | 682 => [0, 0, 3, 0, 0] | 683 => [0, 2, 0, 2, 1, 3, 1] + | 684 => [1, 3, 1, 1, 2, 1, 3, 1, 1, 3] | 685 => [3, 0, 2, 1, 3] | 686 => [1, 1, 2, 0, 0, 0, 2] | 687 => [1, 3, 1, 1, 3, 1, 3] + | 688 => [1, 3, 1, 3, 0, 3, 0] | 689 => [1, 3, 1, 3, 0] | 690 => [1, 2, 1, 2, 1] | 691 => [0, 0, 3, 0, 3, 1, 1, 3, 0] + | 692 => [2, 0, 2, 1, 2] | 693 => [1, 1, 2, 0, 3, 1, 3] | 694 => [2, 0, 0, 0, 3, 0, 2, 0] | 695 => [2, 0, 0, 0, 3, 0, 3] + | 696 => [1, 1, 3, 0, 3, 1] | 697 => [0, 0, 2, 1, 3, 0, 2, 1, 1] | 698 => [3, 1, 2, 1, 1, 2, 1, 1] | 699 => [1, 3, 1, 1, 2, 1, 1, 3] + | 700 => [2, 1, 3, 0, 0] | 701 => [1, 2, 1, 3, 1, 1, 3, 1, 1] | 702 => [0, 0, 0, 3, 0, 0, 0, 3] | 703 => [0, 0, 0, 3, 0, 0, 0, 3, 1, 2] + | 704 => [2, 1, 3, 1, 1, 2] | 705 => [3, 0, 3, 1, 1, 2, 0] | 706 => [0, 3, 0, 2, 0] | 707 => [0, 0, 0, 3, 0, 2] + | 708 => [0, 2, 0, 0, 3, 1, 1, 3] | 709 => [3, 0, 0, 3, 1, 1, 2, 1] | 710 => [0, 0, 2, 0, 3, 0, 0, 0, 3, 1] | 711 => [0, 3, 1, 1] + | 712 => [1, 3, 1, 1] | 713 => [2, 1, 1, 2, 1, 2] | 714 => [1, 1, 3, 0, 3, 1, 1, 3] | 715 => [0, 2, 1, 3, 0, 3] + | 716 => [3, 0, 2, 1, 3, 1, 1, 2] | 717 => [0, 2, 0, 3, 1, 3, 1, 1] | 718 => [3, 0, 0, 3, 1, 1, 3, 0] | 719 => [0, 3, 1, 1, 2, 1, 1] + | 720 => [3, 0, 0, 3, 1, 1, 2] | 721 => [1, 1, 3, 1, 2, 1] | 722 => [0, 0, 3, 1, 2, 0, 2] | 723 => [1, 1, 2, 0, 2, 0, 3] + | 724 => [1, 1, 2, 0, 2, 1, 3] | 725 => [1, 2, 0, 2, 0, 0, 3, 0] | 726 => [1, 2, 0, 2, 0, 0] | 727 => [0, 3, 0, 0, 3, 0, 0, 3] + | 728 => [1, 3, 0, 0, 3, 0, 3, 0] | 729 => [1, 1, 3, 0, 3, 1, 1] | 730 => [1, 1, 3, 0, 3, 0, 0, 0, 2] | 731 => [1, 1, 3, 1, 3, 0, 0] + | 732 => [3, 1, 1, 2, 0, 0, 0] | 733 => [1, 1, 2, 1, 1, 2, 1, 3] | 734 => [0, 0, 0, 2, 1, 2, 1, 1] | 735 => [2, 1, 2, 1, 2, 0, 3] + | 736 => [0, 2, 0, 0, 0, 2] | 737 => [0, 2, 0, 0, 3] | 738 => [0, 0, 2, 1, 1, 2] | 739 => [0, 2, 0, 2, 0, 2] + | 740 => [2, 1, 3, 0, 3, 0, 3, 1] | 741 => [0, 2, 0, 3, 0] | 742 => [1, 3, 1, 2, 1, 2, 0, 3] | 743 => [1, 3, 1, 1, 2, 0, 2, 1] + | 744 => [0, 3, 0, 0, 0] | 745 => [0, 3, 0, 0, 2] | 746 => [2, 1] | 747 => [0, 0, 0, 3, 0, 3, 0, 3] + | 748 => [1, 3, 0, 3, 0, 2, 0, 0] | 749 => [0, 3, 0, 2, 1] | 750 => [0, 3, 1, 3, 1, 3, 0] | 751 => [1, 1, 3, 1, 1, 2] + | 752 => [3, 0, 2, 0, 3, 1, 2] | 753 => [0, 0, 0, 3, 0, 2, 0, 2, 0] | 754 => [1, 2, 0, 0, 0, 2, 0] | 755 => [0, 2, 1, 1, 3, 0] + | 756 => [1, 3, 0, 0, 3, 1, 2] | 757 => [3, 1, 3, 0, 3, 0, 0] | 758 => [3, 1, 3, 0, 0] | 759 => [1, 3, 0, 0, 2, 0, 0, 3, 0] + | 760 => [2, 1, 2] | 761 => [1, 3, 0, 2, 0, 0, 2] | 762 => [1, 1, 3, 1, 3, 1, 1] | 763 => [1, 2, 1, 2, 1, 2, 1, 3] + | 764 => [0, 3, 1, 1, 3, 1, 1, 2, 0] | 765 => [1, 2, 1, 1, 2, 1] | 766 => [1, 2, 1, 1, 2, 1, 1, 2] | 767 => [3, 0, 2, 0, 3, 1] + | 768 => [1, 1, 3, 1, 3, 1, 1, 2] | 769 => [1, 1, 3, 1, 3, 1, 2, 1, 2] | 770 => [0, 3, 0, 2, 0, 2, 1, 2] | 771 => [0, 0, 0, 3, 0, 0] + | 772 => [2, 1, 2, 0, 3, 0, 3] | 773 => [1, 2, 0, 2, 0, 3, 1, 2] | 774 => [1, 1, 3, 1, 2, 1, 2, 1] | 775 => [1, 2, 0, 3, 1] + | 776 => [1, 3, 0, 0, 3, 0, 0, 0] | 777 => [1, 1, 2, 1, 1, 2, 0, 2] | 778 => [0, 2, 1, 2, 0, 0] | 779 => [1, 1, 2, 1, 2, 0, 0, 3] + | 780 => [0, 0, 2, 1, 1, 3, 1] | 781 => [1, 3, 0, 2, 0, 2, 0] | 782 => [0, 3, 1, 2, 0, 0, 3, 1] | 783 => [0, 0, 3, 1, 3] + | 784 => [0, 2, 1, 1, 3, 1, 1, 3] | 785 => [0, 2, 1, 3, 0, 2, 1, 1, 2] | 786 => [1, 1, 3, 0, 3, 0, 3] | 787 => [1, 3, 1, 2, 1, 2, 1, 3] + | 788 => [1, 3, 1, 1, 2, 1, 3, 1] | 789 => [3, 1, 1, 2, 0, 0, 2, 1, 2] | 790 => [0, 0, 3, 1, 3, 1] | 791 => [2, 1, 2, 1, 2, 0, 0, 0] + | 792 => [1, 3, 1, 3, 1, 2, 0, 0, 2] | 793 => [2, 0, 3, 0, 3] | 794 => [3, 0, 2, 0, 2, 1, 1, 3, 0] | 795 => [3, 0, 2, 0, 2, 1, 1] + | 796 => [2, 1, 3, 1, 1, 3, 1] | 797 => [0, 0, 2, 0, 3, 0, 0, 3] | 798 => [3, 1, 2, 0, 0, 3, 0] | 799 => [1, 1, 2, 0, 3] + | 800 => [0, 0, 2, 0, 2, 0, 3] | 801 => [2, 1, 2, 1, 3, 0, 2] | 802 => [1, 3, 0, 2, 0] | 803 => [1, 3, 0, 3] + | 804 => [1, 2, 1, 3, 0, 0, 0, 2, 0] | 805 => [3, 1, 1, 2, 0, 0, 2] | 806 => [2, 1, 1, 3, 0, 2, 0, 3] | 807 => [1, 1, 2, 1, 3, 0, 0, 3] + | 808 => [1, 2, 1, 3, 0, 0, 0] | 809 => [1, 2, 0, 0, 3, 1] | 810 => [0, 0, 2, 1, 1, 3, 0, 2] | 811 => [3, 0, 0, 0, 2, 0] + | 812 => [0, 2, 1, 2, 0, 0, 3] | 813 => [3, 1, 3, 1, 3, 1, 3] | 814 => [1, 1, 3, 1, 1, 2, 1] | 815 => [0, 0, 3, 0, 2, 0] + | 816 => [0, 3, 0, 0, 3, 1, 1, 2, 1] | 817 => [1, 2, 1, 2, 1, 1, 2, 1, 1] | 818 => [1, 1, 3, 0, 0, 2, 0, 3] | 819 => [0, 3, 0, 0, 2, 0, 3] + | 820 => [2, 0, 2, 1, 2, 1, 1] | 821 => [0, 3, 1, 1, 3, 0, 2, 0] | 822 => [1, 3, 1, 1, 2, 0, 3, 1, 1] | 823 => [0, 0, 2, 0, 0, 3, 1] + | 824 => [1, 2, 1, 1, 3, 0, 2] | 825 => [0, 3, 1, 1, 3, 1, 2, 1, 3] | 826 => [1, 3, 0, 0, 0, 3, 0, 2] | 827 => [3, 0, 0, 0, 2, 1] + | 828 => [0, 0, 3, 0, 0, 0, 3] | 829 => [1, 2, 1, 1, 2, 0] | 830 => [1, 2, 1, 2, 1, 2] | 831 => [1, 2, 0, 3, 1, 2] + | 832 => [2, 0, 0, 2, 1, 2, 1] | 833 => [0, 0, 0, 2, 1, 2, 0, 0, 2] | 834 => [2, 0, 0, 0, 3, 0, 0, 3] | 835 => [1, 1, 2, 0, 0, 0, 2, 1, 1] + | 836 => [2, 1, 1, 2, 1] | 837 => [1, 2, 0, 2, 0, 3] | 838 => [1, 2, 0, 0, 3, 0, 2, 0, 0, 3] | 839 => [1, 2, 0, 3, 1, 3, 1, 2] + | 840 => [1, 2, 1] | 841 => [1, 2, 1, 1, 2] | 842 => [1, 1, 3, 0, 0] | 843 => [0, 0, 3, 1, 3, 1, 1] + | 844 => [3, 1, 3, 1, 3, 1, 2] | 845 => [0, 3, 1, 2, 1, 2, 0] | 846 => [0, 3, 0, 0, 3, 1, 3] | 847 => [1, 3, 0, 3, 0, 2, 1] + | 848 => [1, 1, 3, 0, 3, 0, 3, 1, 1] | 849 => [2, 0, 3, 1, 3, 1, 3, 0] | 850 => [0, 3, 0, 2, 1, 3, 1, 1] | 851 => [1, 2, 1, 2, 1, 2, 0, 3] + | 852 => [1, 3, 0, 0, 3] | 853 => [1, 3, 0, 0, 2, 0, 0, 3] | 854 => [0, 3, 1, 1, 2, 0, 3] | 855 => [0, 3, 1, 3, 0, 0, 2] + | 856 => [0, 0, 0, 3, 0, 2, 0, 2] | 857 => [1, 1, 2, 1, 2, 1, 2, 0] | 858 => [0, 2, 0, 0, 3, 1, 3, 1] | 859 => [3, 1, 3, 1, 2, 0, 0, 3] + | 860 => [0, 3, 0, 2, 0, 0] | 861 => [1, 3, 1, 2] | 862 => [1, 3, 1, 2, 1, 2] | 863 => [1, 1, 3, 0, 3, 0, 2, 1, 1] + | 864 => [3, 1, 1, 2, 0, 2, 1, 1] | 865 => [0, 0, 0, 2, 1, 1, 2, 1] | 866 => [1, 2, 1, 2, 1, 2, 0] | 867 => [0, 0, 3, 1, 3, 0, 0, 0] + | 868 => [0, 0, 3, 1, 3, 0, 0, 2] | 869 => [0, 0, 0, 3, 0, 2, 1, 2] | 870 => [1, 3, 1, 3, 1, 2, 1, 3] | 871 => [0, 0, 2, 0, 0, 2, 0, 0] + | 872 => [0, 0, 0, 2, 0, 3, 1, 2] | 873 => [1, 3, 0, 0, 3, 1, 3] | 874 => [1, 2, 0, 0, 3, 0, 2] | 875 => [0, 0, 0, 3, 1, 1, 2, 0] + | 876 => [0, 0, 0, 3, 1, 1, 3] | 877 => [1, 2, 1, 1, 3] | 878 => [1, 3, 1, 1, 2, 0, 3, 1] | 879 => [1, 2, 0, 0, 2, 0, 3, 1] + | 880 => [0, 3, 0, 0, 3, 1, 2] | 881 => [1, 3, 0, 2, 0, 3, 1, 3] | 882 => [3, 0, 0, 3, 0, 0] | 883 => [2, 0, 3, 1, 3, 1] + | 884 => [1, 1, 2, 1, 1, 3] | 885 => [0, 0, 3, 0, 0, 0] | 886 => [0, 3, 1, 1, 3, 1, 1, 2] | 887 => [0, 0, 3, 0, 2, 0, 0, 0] + | 888 => [1, 2, 1, 1, 2, 1, 3, 1] | 889 => [0, 2, 0, 0, 2, 1, 2] | 890 => [0, 0, 3, 0, 2, 0, 0, 0, 2] | 891 => [1, 1, 2, 0, 0, 2, 0, 2] + | 892 => [2, 1, 1, 2, 1, 2, 0, 2] | 893 => [0, 0, 3, 0, 0, 2, 1] | 894 => [1, 3, 1, 2, 1, 3, 0, 0] | 895 => [1, 3, 1, 2, 1, 3, 0, 2] + | 896 => [0, 0, 3, 0, 3, 0, 0, 0, 3] | 897 => [0, 0, 3, 0, 0, 2, 1, 2] | 898 => [1, 3, 0, 0, 0, 3, 1, 1, 2] | 899 => [3, 0, 2, 1, 1, 2] + | 900 => [1, 2, 1, 2, 1, 2, 1, 1, 2] | 901 => [2, 0, 0, 2, 1, 2] | 902 => [1, 1, 3, 0, 0, 3, 1] | 903 => [2, 1, 1, 2] + | 904 => [0, 0, 0, 2, 1, 3, 1, 2, 1] | 905 => [2, 0, 0, 2, 1, 3] | 906 => [2, 0, 0, 0, 2, 0] | 907 => [1, 1, 2, 1, 1, 2, 1, 1, 2] + | 908 => [0, 2, 1, 2] | 909 => [1, 1, 2, 0, 2, 1, 2] | 910 => [2, 0, 0, 3, 0] | 911 => [1, 2, 1, 2, 1, 1, 2] + | 912 => [0, 0, 0, 2, 0, 2, 0] | 913 => [1, 2, 1, 1, 2, 1, 2, 0, 3] | 914 => [1, 3, 0, 0, 0, 3, 0] | 915 => [2, 0, 3, 1, 2] + | 916 => [0, 2, 1, 2, 0, 3, 0, 0] | 917 => [0, 3, 0, 3, 1] | 918 => [2, 0, 2, 0, 0, 2] | 919 => [2, 0, 2, 0, 3] + | 920 => [0, 2, 1, 3, 0, 0, 3, 1] | 921 => [2, 0, 3, 0, 0] | 922 => [2, 0, 3, 0, 2] | 923 => [1, 2, 0, 2, 1, 3] + | 924 => [2, 0, 2, 0, 0, 3, 0] | 925 => [1, 1, 2, 0, 0, 2, 0, 0] | 926 => [0, 0, 3, 0, 2, 0, 0, 3] | 927 => [1, 2, 0, 3, 1, 1, 2, 1] + | 928 => [1, 1, 3, 0, 3, 0, 0, 3] | 929 => [0, 3, 0, 0, 0, 2, 0, 2] | 930 => [0, 3, 0, 0, 0, 3, 0] | 931 => [0, 2, 0, 0, 0, 2, 1, 1, 2] + | 932 => [3, 1, 2, 0, 3, 0, 0, 3, 0] | 933 => [3, 1, 1, 3, 0, 0, 3, 0] | 934 => [2, 1, 1, 2, 0] | 935 => [1, 1, 2, 0, 3, 1, 2] + | 936 => [1, 2, 0, 2, 1, 3, 1] | 937 => [3, 0, 0, 2, 0, 0] | 938 => [2, 1, 3, 1, 3] | 939 => [1, 3, 1, 2, 0, 3, 0] + | 940 => [1, 1, 2, 0, 0, 2, 1, 2, 1] | 941 => [3, 1, 2, 0, 0, 0, 3] | 942 => [1, 1, 2, 0, 0, 2, 0] | 943 => [1, 1, 2, 0, 0, 3] + | 944 => [3, 0, 3, 0, 0, 0] | 945 => [0, 0, 2, 0, 0, 2, 0, 2, 1, 3] | 946 => [0, 3, 1, 1, 2, 0, 2, 0, 0] | 947 => [0, 0, 0, 3, 1, 2, 1, 2, 1] + | 948 => [0, 0, 0, 2, 1, 3, 0, 2, 0, 2] | 949 => [3, 0, 3, 0, 0] | 950 => [3, 0, 0, 0, 2] | 951 => [3, 0, 2, 1, 1, 3, 1, 3] + | 952 => [0, 0, 0, 3, 0, 3, 0, 2, 1] | 953 => [3, 0, 0, 2, 0] | 954 => [3, 0, 0, 3] | 955 => [2, 0, 0, 0, 3, 0, 2, 0, 2] + | 956 => [2, 0, 0, 3, 1, 1, 3, 1, 1] | 957 => [3, 0, 2, 0, 0] | 958 => [3, 0, 2, 0, 2] | 959 => [3, 1, 3, 1] + | 960 => [1, 2, 0, 2, 0, 0, 0, 2, 1] | 961 => [0, 0, 3, 0, 0, 3, 1] | 962 => [3, 1, 1, 3, 0, 0, 2] | 963 => [0, 2, 1, 3, 1, 3, 1, 2] + | 964 => [0, 2, 0, 2, 1, 1, 2] | 965 => [0, 0, 2, 0, 3, 0, 3, 0, 3] | 966 => [3, 1, 1, 3, 0, 0, 3, 1] | 967 => [1, 2, 1, 2, 0, 3, 0, 3] + | 968 => [0, 2, 0, 0, 3, 0, 3, 0] | 969 => [1, 1, 2, 0, 0, 0, 3] | 970 => [3, 0, 2, 0, 0, 3, 0, 0] | 971 => [1, 3, 1, 1, 2, 1, 3, 1, 2] + | 972 => [1, 2, 1, 2, 1, 2, 1, 2] | 973 => [0, 0, 3, 0, 3, 0, 0] | 974 => [1, 1, 2, 1, 2, 0] | 975 => [1, 3, 0, 0, 2, 0, 3, 1, 2] + | 976 => [0, 2, 0, 3, 0, 0, 2, 1] | 977 => [1, 3, 0, 0, 2, 0, 0, 2, 1] | 978 => [2, 1, 3, 0, 2, 0] | 979 => [2, 1, 3, 0, 3] + | 980 => [0, 3, 1, 1, 3, 1] | 981 => [0, 2, 1, 1, 3, 1, 2, 1] | 982 => [1, 1, 3, 0, 3, 0, 2, 0] | 983 => [3, 0, 3, 0, 3, 0, 0] + | 984 => [0, 0, 2, 1, 1] | 985 => [1, 1, 2, 0, 0, 0, 2, 0, 0] | 986 => [2, 1, 2, 1, 2, 1, 2, 1, 1] | 987 => [3, 0, 3, 0, 3, 0, 3] + | 988 => [1, 1, 3, 1, 1, 3, 0, 0, 3] | 989 => [1, 2, 0, 2, 1, 1, 3] | 990 => [1, 1, 3, 1, 1, 3, 0] | 991 => [1, 3, 1, 3, 1, 3] + | 992 => [0, 2, 0, 3, 1, 2, 1] | 993 => [0, 3, 1, 1, 2, 0, 2, 1] | 994 => [2, 0, 2, 1, 3, 1, 1] | 995 => [0, 2, 0, 3, 0, 0, 2, 1, 2] + | 996 => [3, 0, 0, 3, 1, 2, 0] | 997 => [0, 3, 1, 2, 0, 3, 0, 0] | 998 => [0, 0, 0, 2, 1, 3, 0] | 999 => [2, 0, 0, 0, 3, 0] + | 1000 => [0, 2, 1, 3, 1, 1, 2, 0, 2] | 1001 => [0, 0, 0, 3, 1, 2, 0] | 1002 => [2, 0, 0, 3, 0, 0, 3] | 1003 => [1, 2, 0, 2, 1, 1] + | 1004 => [0, 0, 2, 0, 0, 2, 0, 2] | 1005 => [0, 2, 1, 3, 1, 1, 2, 1, 1] | 1006 => [1, 1, 2, 0, 2, 0, 0, 3, 1] | 1007 => [3, 0, 3, 0, 0, 3, 0] + | 1008 => [1, 1, 3, 0, 3, 0, 2, 0, 2, 1] | 1009 => [2, 1, 3, 0, 0, 0, 3, 1, 1] | 1010 => [1, 1, 3, 0, 3, 0] | 1011 => [1, 1, 3, 0] + | 1012 => [1, 2, 1, 2, 0, 0, 2, 1] | 1013 => [1, 3, 0, 3, 0, 2, 0, 0, 2] | 1014 => [0, 2, 1, 2, 1, 2, 0] | 1015 => [0, 2, 1, 2, 1, 3] + | 1016 => [2, 0, 0, 3, 1, 1, 3] | 1017 => [1, 1, 3, 0, 2] | 1018 => [2, 1, 1, 3, 0, 3] | 1019 => [0, 2, 0, 2, 0, 2, 0, 3] + | 1020 => [1, 2, 1, 2, 0, 0, 0] | 1021 => [0, 0, 3, 0, 3, 1, 1, 3] | 1022 => [0, 0, 0, 3, 1, 1, 3, 1, 3] | 1023 => [3, 0, 0, 3, 1] + | 1024 => [1, 2, 0, 0, 3, 0, 3, 0] | 1025 => [1, 2, 1, 2, 0, 0, 0, 2] | 1026 => [1, 2, 0, 0, 2, 0, 2] | 1027 => [2, 1, 1, 2, 1, 1] + | 1028 => [2, 0, 3, 1, 3, 1, 2, 1] | 1029 => [1, 2, 1, 3, 0, 2] | 1030 => [0, 0, 2, 0, 0, 2, 0, 0, 0] | 1031 => [1, 3, 0, 3, 0, 3, 0] + | 1032 => [1, 2, 0, 3, 0, 2, 0, 2, 1] | 1033 => [0, 2, 1, 3, 1, 1, 2, 0] | 1034 => [0, 2, 0, 3, 0, 3, 0, 2] | 1035 => [2, 1, 1, 2, 0, 0, 2] + | 1036 => [2, 0, 3, 0, 3, 0, 3] | 1037 => [1, 1, 3, 0, 0, 3, 1, 1, 3, 1] | 1038 => [1, 1, 2, 1, 3, 0, 2, 0] | 1039 => [1, 1, 2, 1, 3, 0, 3] + | 1040 => [0, 3, 0, 0, 3, 0] | 1041 => [1, 1, 3, 1, 2, 0, 3] | 1042 => [2, 1, 2, 0, 0] | 1043 => [2, 1, 2, 0, 2] + | 1044 => [3, 1, 2, 0, 0, 2, 0, 2] | 1045 => [0, 0, 0, 2, 1, 2, 0, 3] | 1046 => [0, 3, 0, 0, 2, 1, 2, 0] | 1047 => [0, 0, 3, 1, 1, 3, 0, 2, 1] + | 1048 => [0, 2, 0, 0, 0, 2, 0, 0, 2, 1] | 1049 => [1, 3, 1, 3, 1, 1, 2, 0] | 1050 => [0, 0, 0, 2, 0, 2, 0, 0] | 1051 => [0, 3, 1] + | 1052 => [1, 2, 1, 2, 0, 0, 2] | 1053 => [1, 3, 0, 0, 2, 1, 2, 0] | 1054 => [1, 2, 1, 3, 1, 3, 1] | 1055 => [1, 2, 1, 2, 0, 2, 0] + | 1056 => [1, 2, 1, 2, 0, 3] | 1057 => [1, 2, 1, 2, 0, 0, 0, 3, 1] | 1058 => [1, 2, 1, 2] | 1059 => [0, 3, 0, 2, 0, 0, 3] + | 1060 => [0, 3, 0, 2, 0, 3, 1, 1] | 1061 => [2, 1, 1, 2, 0, 0, 2, 0] | 1062 => [0, 0, 3, 0, 0, 2, 1, 3] | 1063 => [1, 2, 0, 2, 0, 0, 2] + | 1064 => [3, 1, 1, 3, 0, 2, 1] | 1065 => [3, 1, 3, 1, 3, 0, 0] | 1066 => [0, 0, 2, 0, 3, 0, 0, 2, 0] | 1067 => [0, 3, 1, 1, 3, 1, 1, 3, 0, 3] + | 1068 => [1, 1, 3, 1, 2, 0] | 1069 => [2, 0, 3, 0, 0, 2] | 1070 => [0, 2, 1, 2, 0, 2, 0, 0] | 1071 => [3, 0, 2, 1, 1, 3, 1, 1, 3] + | 1072 => [3, 0, 2, 0, 0, 3, 1] | 1073 => [0, 3, 0, 0, 3, 0, 0, 0] | 1074 => [3, 1, 1, 3, 0, 3, 0, 3] | 1075 => [1, 1, 3, 0, 3, 0, 0] + | 1076 => [3, 1, 1, 2, 0, 2, 0, 0, 3] | 1077 => [1, 2, 0, 3, 0, 2, 0] | 1078 => [0, 0, 0, 3, 0, 2, 1, 1] | 1079 => [0, 0, 3, 1, 1, 3, 0, 2] + | 1080 => [3, 1, 1, 3, 0, 3, 0] | 1081 => [3, 1, 1, 3, 0] | 1082 => [1, 3, 0, 0, 2, 1] | 1083 => [0, 3, 1, 1, 3, 0, 2] + | 1084 => [1, 2, 1, 3, 1, 1, 3, 0, 3] | 1085 => [3, 1, 2, 0, 0, 2, 1] | 1086 => [2, 1, 1, 2, 1, 3, 0, 0] | 1087 => [1, 2, 0, 2, 1, 2, 1] + | 1088 => [1, 3, 1, 1, 3, 0, 3, 0] | 1089 => [3, 1, 1, 2, 0, 2, 0, 0] | 1090 => [1, 3, 1, 2, 1, 3, 0, 3] | 1091 => [0, 0, 3, 1, 1, 3, 1, 3] + | 1092 => [3, 0, 2, 1, 1, 3, 1, 1, 3, 1] | 1093 => [1, 1, 3, 1, 2, 1, 3, 0, 0] | 1094 => [0, 2, 0, 0, 3, 0, 0, 3, 1, 3] | 1095 => [1, 3, 0, 3, 1] + | 1096 => [0, 2, 1, 1, 3] | 1097 => [0, 0, 0, 3, 0, 0, 2, 0, 3, 0] | 1098 => [3, 1, 1, 2, 0, 2, 0, 2, 1] | 1099 => [3, 1, 2, 0, 0, 2, 0] + | 1100 => [1, 1, 2, 1, 3, 1, 3] | 1101 => [0, 0, 2, 1, 3, 1, 1, 3, 1] | 1102 => [1, 1, 2, 0, 3, 0, 0, 3] | 1103 => [3, 1] + | 1104 => [0, 2, 0, 0, 3, 0, 0, 3, 1] | 1105 => [1, 1, 2, 0, 0, 2, 1, 1] | 1106 => [0, 2, 0, 3, 1, 3] | 1107 => [1, 1, 2, 1, 3, 1, 2] + | 1108 => [0, 2, 0, 3, 1] | 1109 => [0, 3, 1, 1, 3, 1, 1] | 1110 => [0, 2, 1, 2, 1, 2, 0, 2] | 1111 => [1, 1, 2, 1, 2, 1, 1, 3] + | 1112 => [3, 1, 2, 0, 3, 0, 0] | 1113 => [3, 1, 2, 0, 3, 0, 2] | 1114 => [2, 0, 2, 0, 0, 3, 0, 3] | 1115 => [1, 2, 1, 2, 0, 0, 0, 2, 0] + | 1116 => [1, 3, 0, 2, 1] | 1117 => [0, 3, 1, 2, 1, 1, 2, 1, 3, 0] | 1118 => [2, 0, 3, 1, 1, 2] | 1119 => [1, 1, 3, 1, 3, 1, 3, 1] + | 1120 => [1, 3, 0, 3, 0] | 1121 => [3, 1, 3, 1, 1] | 1122 => [3, 0, 3, 1] | 1123 => [0, 3, 1, 2, 0, 3, 0] + | 1124 => [0, 3, 1, 2, 0] | 1125 => [0, 2, 0, 2, 1, 1] | 1126 => [1, 1, 2, 0, 0, 2, 1, 2] | 1127 => [0, 0, 2, 0, 0, 0, 3, 0] + | 1128 => [2, 0, 2, 0, 0, 2, 0, 2] | 1129 => [0, 2, 0, 0, 3, 1, 1, 2, 1, 3] | 1130 => [3, 1, 3, 1, 2, 0, 0, 2] | 1131 => [1, 3, 1, 2, 1, 2, 1, 1] + | 1132 => [1, 3, 1, 3, 0, 3, 0, 0] | 1133 => [1, 1, 3, 1, 1, 2, 1, 2, 0] | 1134 => [1, 2, 1, 3, 0] | 1135 => [2, 0, 0, 0, 3, 0, 0, 2] + | 1136 => [1, 2, 0, 0, 2, 0, 2, 0, 2, 0] | 1137 => [1, 1, 2, 0, 0, 2, 1, 1, 3, 1] | 1138 => [2, 0, 3, 0, 0, 0, 2] | 1139 => [1, 3, 0, 2, 1, 1] + | 1140 => [3, 0, 3, 1, 1, 2, 0, 0] | 1141 => [0, 0, 0, 2, 0, 3, 0, 3] | 1142 => [1, 1, 2, 0, 3, 0, 0] | 1143 => [0, 0, 0, 2, 1, 3, 1, 1, 3] + | 1144 => [2, 1, 1, 2, 1, 1, 2, 0, 0] | 1145 => [2, 0, 0, 0, 3, 0, 0, 0, 3] | 1146 => [0, 0, 3, 0, 0, 2, 1, 1, 2, 0] | 1147 => [3, 1, 2, 0, 0, 0] + | 1148 => [3, 1, 2, 0, 0, 2] | 1149 => [1, 3, 0, 0, 2, 0, 3] | 1150 => [0, 2, 0, 3, 0, 0, 2, 0] | 1151 => [0, 2, 0, 3, 0, 0, 3] + | 1152 => [0, 0, 3, 0, 2, 1, 1] | 1153 => [0, 0, 3, 0, 0, 2, 1, 1, 2] | 1154 => [0, 0, 2, 0, 3, 0, 0, 0, 3] | 1155 => [1, 1, 2, 1, 1, 2, 1, 3, 0] + | 1156 => [0, 2, 0, 3, 0, 0] | 1157 => [2, 1, 1, 3, 0, 3, 0, 2] | 1158 => [1, 2, 0, 0, 3, 1, 2, 1] | 1159 => [2, 0, 2, 1, 2, 1] + | 1160 => [2, 0, 0, 0, 2, 1, 1, 2] | 1161 => [1, 3, 1, 1, 3, 0, 2, 1, 3, 0] | 1162 => [1, 3, 1, 1, 3, 0, 2, 1] | 1163 => [2, 1, 1, 3, 0, 0] + | 1164 => [2, 1, 3, 0, 3, 0, 3, 0] | 1165 => [2, 1, 3, 0, 3, 0] | 1166 => [0, 0, 0, 3, 1, 1, 3, 1, 1] | 1167 => [1, 1, 3, 1, 3, 1, 3, 0, 0] + | 1168 => [2, 1, 3, 1, 1, 3, 0] | 1169 => [1, 1, 3, 1, 3] | 1170 => [0, 0, 3, 0, 3, 1, 2] | 1171 => [2, 0, 0, 3, 1, 2, 0, 0, 3] + | 1172 => [1, 1, 2, 1] | 1173 => [2, 0, 0, 3, 0, 0, 2, 0, 0] | 1174 => [0, 3, 1, 2, 1, 1, 2, 1] | 1175 => [3, 1, 2, 1, 2, 0, 0] + | 1176 => [1, 1, 3, 1, 3, 1, 2, 0] | 1177 => [0, 2, 0, 0, 3, 1, 2] | 1178 => [1, 1, 2, 0, 0, 2, 0, 3] | 1179 => [1, 1, 2, 0, 0, 2, 0, 3, 1, 2] + | 1180 => [1, 3, 0, 0, 0, 3, 0, 3, 1] | 1181 => [0, 0, 0, 2, 0, 0, 2, 0] | 1182 => [2, 1, 2, 0, 2, 0] | 1183 => [1, 3, 0, 0, 3, 1, 2, 0] + | 1184 => [1, 3, 1, 3, 1] | 1185 => [0, 0, 3, 0, 3, 0, 3, 0] | 1186 => [0, 3, 0, 0, 3, 1] | 1187 => [0, 3, 0, 0, 3, 1, 1, 2] + | 1188 => [2, 1, 3, 0, 0, 2] | 1189 => [0, 2, 0, 3, 0, 2, 0] | 1190 => [0, 2, 0, 3, 0, 3] | 1191 => [2, 1, 3, 0, 0, 3] + | 1192 => [2, 0, 0, 0, 2, 0, 2] | 1193 => [1, 3, 1, 2, 0, 0, 2] | 1194 => [0, 0, 0, 3, 1, 1, 3, 0, 2] | 1195 => [3, 1, 3, 0, 0, 0, 2] + | 1196 => [0, 2, 0, 0, 0, 2, 1, 1, 2, 0] | 1197 => [0, 3, 0, 0, 2, 0, 0] | 1198 => [1, 1, 2, 0, 0, 2, 0, 0, 0, 2] | 1199 => [1, 3, 0, 0, 0, 3, 1, 1] + | 1200 => [2, 0, 0, 0, 2, 1, 2, 1] | 1201 => [1, 2, 1, 2, 0, 0, 0, 2, 1] | 1202 => [1, 1, 3, 0, 3, 1, 3] | 1203 => [0, 3, 0, 2, 0, 0, 2, 0, 3, 1] + | 1204 => [3, 0, 3, 0, 2, 1] | 1205 => [2, 0, 0, 0, 2, 1, 1] | 1206 => [1, 3, 1, 3, 1, 2, 0] | 1207 => [3, 0, 0, 3, 1, 2, 0, 0] + | 1208 => [0, 2, 0, 0, 3, 1, 1, 2] | 1209 => [0, 0, 0, 3, 0, 2, 0, 2, 1, 1] | 1210 => [1, 2, 0, 2, 1, 1, 3, 0, 0, 2] | 1211 => [3, 1, 3, 0, 0, 2, 0, 0] + | 1212 => [2, 1, 1, 2, 0, 0, 0] | 1213 => [1, 1, 2, 0, 0, 0, 3, 0, 2] | 1214 => [0, 0, 2, 0, 3, 1, 2, 1] | 1215 => [2, 1, 3, 0, 0, 2, 0, 2] + | 1216 => [1, 3, 0, 0, 0, 3, 1] | 1217 => [0, 3, 0, 2, 0, 0, 0] | 1218 => [1, 3, 0, 0, 0, 2, 0] | 1219 => [1, 2, 1, 2, 0, 0, 2, 1, 3] + | 1220 => [1, 1, 2, 1, 2, 1, 1, 3, 0] | 1221 => [1, 3, 0, 0, 3, 1, 2, 0, 2] | 1222 => [1, 1, 3, 0, 0, 3, 1, 1, 3] | 1223 => [1, 2, 0, 0, 2, 0, 2, 0, 2] + | 1224 => [3, 1, 1, 2, 0, 0, 2, 1] | 1225 => [0, 2, 0, 0, 3, 0, 0, 2] | 1226 => [0, 0, 0, 2, 1, 1] | 1227 => [1, 1, 2, 0, 2, 0] + | 1228 => [1, 3, 0, 0, 0, 3] | 1229 => [1, 3, 0, 2, 0, 2, 1, 3] | 1230 => [1, 2, 0, 0, 2] | 1231 => [1, 2, 0, 2, 0] + | 1232 => [1, 2, 0, 3] | 1233 => [2, 0, 2, 0, 2, 1] | 1234 => [1, 2, 1, 3, 0, 2, 0, 0] | 1235 => [0, 0, 0, 3, 0, 0, 0] + | 1236 => [1, 3, 0, 0] | 1237 => [1, 1, 3, 0, 0, 3, 1, 1, 2] | 1238 => [0, 2, 1, 3, 0, 2, 0] | 1239 => [3, 0, 2, 0, 3, 1, 2, 0] + | 1240 => [0, 0, 2, 1, 3, 1, 1, 3, 1, 3] | 1241 => [1, 1, 3, 1, 1, 3, 0, 3] | 1242 => [0, 2, 0, 3, 1, 2, 0, 0, 3] | 1243 => [0, 2, 1, 1, 3, 1, 3] + | 1244 => [0, 0, 0, 3, 0, 3] | 1245 => [0, 0, 2, 1, 2, 1, 2] | 1246 => [2, 0, 2, 0, 2, 0, 2] | 1247 => [1, 1, 2, 0, 2, 0, 0, 3, 1, 1] + | 1248 => [0, 0, 0, 2, 1, 2, 0] | 1249 => [1, 1, 3, 1, 2, 0, 2] | 1250 => [1, 1, 2, 0, 0, 0, 3, 1, 1] | 1251 => [2, 0, 3, 0, 0, 3, 0, 3, 0] + | 1252 => [0, 2, 1, 3, 1, 3, 1, 3] | 1253 => [0, 2, 0, 2, 1, 2, 1, 2] | 1254 => [1, 3, 0, 2, 1, 2] | 1255 => [1, 1, 3, 1, 3, 0, 3] + | 1256 => [0, 0, 3, 0, 3, 0] | 1257 => [3, 0, 0, 3, 0, 0, 2] | 1258 => [3, 1, 2, 0, 3, 0, 3] | 1259 => [3, 1, 1, 2, 0, 2, 0] + | 1260 => [3, 1, 1, 3] | 1261 => [2, 0, 2, 0, 2, 1, 2, 1] | 1262 => [0, 0, 0, 3, 0, 3, 0, 0, 2] | 1263 => [1, 1, 2, 1, 1, 2, 1, 2, 1] + | 1264 => [0, 0, 3, 0, 2, 1, 3] | 1265 => [2, 1, 1, 3] | 1266 => [1, 2, 1, 3, 1, 1, 3, 0, 0] | 1267 => [2, 1, 1, 2, 0, 0, 2, 0, 0] + | 1268 => [1, 1, 2, 0, 0, 0, 3, 1, 2] | 1269 => [2, 0, 3, 1, 3] | 1270 => [0, 0, 3, 1] | 1271 => [0, 0, 3, 1, 1, 2] + | 1272 => [1, 2, 1, 2, 0, 0, 0, 3, 1, 2] | 1273 => [1, 2, 1, 1, 2, 1, 1, 2, 1, 2] | 1274 => [3, 1, 1, 3, 0, 2, 0, 2] | 1275 => [1, 3, 1, 1, 3, 0, 3, 0, 2] + | 1276 => [0, 3, 0, 0, 0, 3] | 1277 => [2, 1, 3, 0, 0, 0, 2] | 1278 => [1, 1, 2, 1, 3, 1, 1, 2] | 1279 => [2, 0, 3, 0, 0, 0, 3, 1] + | 1280 => [1, 3, 1, 3, 1, 3, 1, 3, 1] | 1281 => [3, 1, 2, 1] | 1282 => [0, 3, 0, 0, 3, 0, 2, 0, 2] | 1283 => [0, 2, 0, 0, 2, 1, 3] + | 1284 => [0, 3, 0, 0, 3, 0, 3, 0] | 1285 => [1, 2, 1, 2, 0, 0, 0, 3, 0, 3] | 1286 => [0, 0, 0, 2, 1, 2, 1, 2, 1, 1] | 1287 => [1, 1, 3, 1, 2, 1, 3, 0] + | 1288 => [0, 0, 2, 1, 2, 1] | 1289 => [2, 1, 1, 2, 1, 3, 0, 2] | 1290 => [0, 0, 2, 0, 2, 0, 2] | 1291 => [1, 2, 0, 0, 2, 0, 2, 0] + | 1292 => [0, 0, 0, 3, 0, 2, 0, 2, 0, 3] | 1293 => [0, 0, 0, 2, 0, 0, 2] | 1294 => [3, 1, 2, 0, 0, 0, 2] | 1295 => [0, 3, 0, 2, 0, 0, 2, 0, 3] + | 1296 => [0, 2, 0, 0, 3, 0, 3] | 1297 => [1, 1, 2, 0, 2, 0, 0, 3] | 1298 => [0, 2, 0, 0, 0, 2, 0, 0] | 1299 => [0, 3, 1, 1, 3, 0, 0, 2, 0] + | 1300 => [0, 0, 3, 0, 2, 0, 0, 2, 0] | 1301 => [1, 2, 1, 2, 0, 2, 0, 2] | 1302 => [0, 2, 0, 3, 0, 3, 0] | 1303 => [1, 2, 0, 0, 0, 2, 0, 0, 0] + | 1304 => [3, 1, 1, 2, 0, 0, 0, 3, 1] | 1305 => [0, 3, 1, 3, 1, 2, 0] | 1306 => [0, 2, 0, 3, 1, 3, 1] | 1307 => [1, 1, 3, 0, 3, 0, 0, 2, 1, 2] + | 1308 => [3, 0, 3, 1, 3] | 1309 => [1, 3, 1, 2, 0, 3, 0, 0] | 1310 => [0, 0, 2, 1, 2] | 1311 => [0, 2, 0, 2, 1, 3] + | 1312 => [0, 2, 1] | 1313 => [2, 1, 1, 2, 1, 1, 2, 0] | 1314 => [0, 0, 0, 3, 0, 0, 2, 0, 3, 1] | 1315 => [1, 2, 0, 0, 3, 1, 3] + | 1316 => [1, 2, 0, 3, 0, 0, 3] | 1317 => [1, 3, 1, 2, 0, 0] | 1318 => [0, 0, 2, 0, 0, 3, 1, 3] | 1319 => [0, 0, 2, 0, 0, 3, 1, 3, 1, 2] + | 1320 => [1, 3, 0, 0, 3, 1, 3, 1] | 1321 => [1, 3, 1, 1, 3, 0, 0, 3, 0] | 1322 => [1, 3, 1, 1, 3, 0, 2] | 1323 => [2, 0, 3, 1, 2, 1, 2] + | 1324 => [2, 1, 2, 1, 2, 0, 0, 0, 3] | 1325 => [0, 2, 1, 2, 0, 2] | 1326 => [3, 1, 1, 2, 0, 2] | 1327 => [1, 2, 1, 3, 0, 3] + | 1328 => [1, 2, 0, 3, 0, 2, 0, 2] | 1329 => [1, 1, 3, 0, 0, 3, 1, 3] | 1330 => [3, 1, 3, 1, 2, 1, 1] | 1331 => [0, 0, 2, 1, 3, 0, 3, 0, 2] + | 1332 => [0, 0, 2, 1, 3, 0, 0] | 1333 => [0, 0, 0, 2, 0, 2, 1] | 1334 => [1, 1, 2, 1, 2, 1, 3] | 1335 => [0, 3, 1, 2, 1, 1] + | 1336 => [1, 2, 0, 2, 0, 3, 1] | 1337 => [1, 3, 0, 0, 0, 3, 0, 2, 1, 2] | 1338 => [1, 2, 0, 0, 3, 0, 2, 0, 3] | 1339 => [0, 3, 0, 2, 1, 3, 1] + | 1340 => [2, 0, 0, 0, 3, 1] | 1341 => [2, 0, 0, 0, 3, 1, 1, 2] | 1342 => [2, 0, 0, 0, 3, 0, 0] | 1343 => [0, 0, 3, 1, 3, 1, 3] + | 1344 => [2, 1, 2, 1, 2, 0, 0, 3] | 1345 => [3, 1, 3, 1, 1, 2, 0] | 1346 => [1, 1, 3, 0, 0, 0, 2] | 1347 => [3, 1, 3, 0, 3, 0, 3, 1, 1] + | 1348 => [1, 3, 1, 2, 0, 3, 0, 0, 2] | 1349 => [2, 0, 0, 3, 0, 3, 0] | 1350 => [0, 0, 2, 0, 0, 2, 1, 2] | 1351 => [1, 2, 0, 0, 3, 0, 2, 0] + | 1352 => [3, 0, 2, 0, 2, 1, 2, 1] | 1353 => [2, 1, 3, 1, 1, 2, 1, 1] | 1354 => [1, 2, 1, 2, 1, 1, 3, 0, 3] | 1355 => [1, 1, 2, 0, 0, 0] + | 1356 => [2, 1, 2, 1, 3, 0, 3] | 1357 => [1, 1, 2, 0, 0] | 1358 => [1, 1, 2, 0, 2] | 1359 => [2, 0, 3, 0, 3, 0, 2] + | 1360 => [1, 3, 1, 1, 2, 1, 3, 0, 2] | 1361 => [1, 1, 3, 0, 3, 1, 1, 2, 1] | 1362 => [1, 1, 2, 0, 2, 1] | 1363 => [0, 2, 1, 2, 0, 0, 2, 1] + | 1364 => [2, 1, 3, 0, 3, 0, 0, 3] | 1365 => [0, 3, 1, 1, 2, 1, 1, 2] | 1366 => [0, 0, 0, 2, 1, 2, 1, 3] | 1367 => [3, 0, 2, 1, 1, 2, 0, 2] + | 1368 => [3, 1, 1, 3, 0, 0, 3] | 1369 => [0, 0, 2, 0, 0, 2, 1] | 1370 => [1, 3, 1, 3, 1, 1, 3, 1] | 1371 => [1, 2, 1, 2, 1, 1, 3, 0, 2] + | 1372 => [0, 0, 3, 0, 3, 0, 0, 0] | 1373 => [0, 3, 0, 0, 0, 2, 0] | 1374 => [0, 0, 0, 2, 0, 3] | 1375 => [2, 1, 1, 2, 1, 2, 1] + | 1376 => [2, 0, 2, 1, 3, 1] | 1377 => [1, 3, 1, 3, 1, 3, 1, 2] | 1378 => [3, 1, 1, 2, 0, 2, 0, 2] | 1379 => [3, 0, 3, 0, 2] + | 1380 => [3, 1, 1, 2] | 1381 => [3, 1, 1, 2, 1, 1, 3] | 1382 => [2, 0, 0, 0, 2, 1, 2] | 1383 => [2, 0, 3, 0, 0, 3, 0, 3] + | 1384 => [1, 2, 0, 2, 0, 0, 2, 0] | 1385 => [0, 0, 2, 1, 3, 1, 1, 2] | 1386 => [3, 1, 3, 0, 0, 2, 1, 1] | 1387 => [1, 1, 3, 1, 1] + | 1388 => [0, 3, 1, 1, 3, 1, 2, 1] | 1389 => [0, 3, 0, 2, 0, 2, 1] | 1390 => [3, 0, 0, 0, 3, 0] | 1391 => [0, 2, 1, 1, 3, 1] + | 1392 => [2, 0, 3, 1, 1, 3] | 1393 => [1, 1, 2, 1, 3, 0, 0, 2] | 1394 => [2, 0, 0, 3, 0, 0, 2, 0] | 1395 => [2, 1, 3, 0, 0, 2, 0] + | 1396 => [1, 1, 2, 0, 0, 2, 1] | 1397 => [0, 0, 2, 0, 0, 0, 2] | 1398 => [0, 0, 2, 0, 0, 2, 0] | 1399 => [0, 0, 2, 0, 0, 3] + | 1400 => [0, 0, 2, 0, 3, 0] | 1401 => [3, 1, 2, 1, 2, 0, 3] | 1402 => [0, 0, 3, 0, 0, 2] | 1403 => [1, 1, 3, 1, 3, 0, 0, 0] + | 1404 => [3, 0, 3, 0, 2, 0, 0] | 1405 => [1, 3, 1, 1, 2, 1, 3, 1, 1] | 1406 => [3, 0, 2, 1] | 1407 => [3, 0, 2, 1, 1, 2, 0] + | 1408 => [2, 0, 0, 3, 0, 0] | 1409 => [1, 1, 2, 0, 0, 0, 2, 0] | 1410 => [1, 1, 2, 0, 0, 0, 3, 0, 3] | 1411 => [1, 1, 2, 0, 3, 1, 1, 3] + | 1412 => [0, 0, 0, 2, 0, 0, 2, 0, 0] | 1413 => [0, 0, 2, 0, 3, 1, 1, 2] | 1414 => [0, 0, 0, 2, 0, 0, 2, 0, 0, 2] | 1415 => [2, 0, 2, 1, 3] + | 1416 => [1, 1, 2, 0, 3, 1] | 1417 => [2, 0, 0, 0, 3, 0, 3, 0] | 1418 => [1, 1, 3, 0, 3, 1, 2] | 1419 => [0, 0, 0, 3, 0, 3, 1, 2] + | 1420 => [2, 0, 0, 3, 0, 0, 3, 1] | 1421 => [1, 1, 2, 0, 0, 2, 0, 0, 3] | 1422 => [3, 1, 2, 1, 1, 2, 1] | 1423 => [1, 3, 1, 1, 2, 1, 1] + | 1424 => [2, 1, 3, 0, 0, 0] | 1425 => [1, 2, 1, 3, 1, 1, 3, 1] | 1426 => [0, 3, 1, 1, 2, 0, 0, 0] | 1427 => [0, 0, 0, 3, 0, 0, 0, 3, 0] + | 1428 => [3, 0, 2, 0, 0, 3] | 1429 => [1, 2, 0, 2, 0, 0, 3, 0, 2] | 1430 => [0, 0, 3, 1, 2, 1] | 1431 => [0, 0, 0, 3, 0, 0, 2, 0, 3] + | 1432 => [2, 1, 3, 1, 1, 2, 0] | 1433 => [2, 1, 3, 1, 1, 3] | 1434 => [1, 1, 2, 0, 0, 0, 2, 1] | 1435 => [1, 1, 2, 1, 3, 0, 0, 0] + | 1436 => [2, 1, 3, 1, 1, 2, 1, 3] | 1437 => [0, 2, 1, 1, 3, 0, 0, 3] | 1438 => [0, 3, 0, 2, 0, 2] | 1439 => [0, 0, 0, 3, 0, 2, 0] + | 1440 => [2, 0, 3, 0, 0, 2, 1, 1] | 1441 => [0, 2, 0, 0, 3, 1, 1] | 1442 => [0, 3, 1, 2, 0, 0] | 1443 => [0, 2, 0, 2, 1, 2, 1, 1] + | 1444 => [0, 3, 1, 1, 3, 1, 3, 1, 2, 0] | 1445 => [0, 3, 1, 1, 2] | 1446 => [0, 3, 1, 1, 3] | 1447 => [1, 3, 1] + | 1448 => [1, 3, 1, 1, 2] | 1449 => [2, 1, 1, 2, 1, 3] | 1450 => [0, 0, 3, 0, 3, 0, 3] | 1451 => [0, 0, 3, 1, 3, 1, 1, 3] + | 1452 => [0, 2, 1, 3, 0] | 1453 => [0, 2, 0, 3, 1, 3, 1, 1, 2] | 1454 => [3, 1, 2, 0, 3, 0, 0, 3] | 1455 => [3, 1, 2, 0, 0, 3, 1, 3] + | 1456 => [3, 1, 3, 0, 0, 2] | 1457 => [0, 3, 1, 1, 2, 1] | 1458 => [1, 3, 1, 1, 2, 1, 3, 0] | 1459 => [1, 1, 3, 1, 2] + | 1460 => [1, 1, 3, 1, 2, 1, 2] | 1461 => [1, 2, 1, 3, 1, 1, 3] | 1462 => [1, 2, 0, 3, 0, 3] | 1463 => [2, 0, 0, 2, 1, 2, 1, 3] + | 1464 => [1, 2, 0, 2, 0, 0, 0] | 1465 => [0, 3, 0, 0, 3, 0, 0] | 1466 => [0, 2, 1, 3, 1, 1] | 1467 => [2, 0, 0, 3, 1, 2, 0] + | 1468 => [1, 1, 2, 0, 0, 0, 3, 1, 1, 3] | 1469 => [1, 1, 3, 0, 3, 1, 1, 2] | 1470 => [1, 1, 3, 1, 3, 0, 0, 2] | 1471 => [1, 1, 2, 0, 3, 0, 2] + | 1472 => [3, 1, 1, 2, 1, 1] | 1473 => [1, 1, 2, 0, 0, 2, 0, 2, 0] | 1474 => [0, 0, 0, 2, 1, 2, 1] | 1475 => [2, 0, 0, 2, 1, 3, 1, 1] + | 1476 => [1, 2, 0, 0, 2, 0, 3, 1, 2] | 1477 => [0, 2, 0, 0, 0, 2, 0] | 1478 => [1, 2, 0, 2, 1, 2] | 1479 => [0, 2, 0, 0, 3, 0] + | 1480 => [0, 0, 2, 1, 1, 3] | 1481 => [0, 2, 0, 2, 0, 3] | 1482 => [0, 0, 0, 3, 0, 2, 0, 0, 3] | 1483 => [1, 3, 1, 2, 1, 2, 0] + | 1484 => [1, 3, 0, 0, 2, 0, 0] | 1485 => [1, 3, 1, 1, 2, 0, 2] | 1486 => [0, 0, 2, 0, 3, 1, 1] | 1487 => [1, 2, 1, 3, 1, 1, 3, 0] + | 1488 => [0, 3, 0, 0, 2, 0] | 1489 => [0, 3, 0, 0, 3] | 1490 => [0, 0, 0, 3, 0, 3, 0] | 1491 => [1, 2, 0, 3, 1, 3, 1] + | 1492 => [0, 2, 0, 2, 1, 2, 1] | 1493 => [2, 1, 3, 1, 2] | 1494 => [1, 2, 0, 3, 0, 0, 3, 0, 2] | 1495 => [0, 3, 0, 0, 2, 1, 2, 0, 0] + | 1496 => [3, 0, 2, 0, 3, 1, 3] | 1497 => [0, 0, 0, 3, 0, 2, 0, 2, 0, 0] | 1498 => [0, 0, 0, 3, 0, 2, 0, 2, 0, 2] | 1499 => [0, 3, 1, 1, 2, 0, 3, 1] + | 1500 => [0, 3, 1, 1, 2, 0, 2] | 1501 => [1, 2, 0, 0, 0, 2, 0, 2] | 1502 => [1, 3, 1, 1, 3, 0, 2, 0] | 1503 => [2, 1, 1, 3, 0, 2] + | 1504 => [0, 2, 1, 1, 3, 0, 0] | 1505 => [0, 2, 1, 1, 3, 0, 2] | 1506 => [1, 3, 0, 0, 0, 3, 0, 0, 2] | 1507 => [0, 0, 2, 1, 3, 0, 0, 3] + | 1508 => [0, 3, 1, 3, 0, 0, 2, 1] | 1509 => [3, 1, 3, 0, 0, 0] | 1510 => [1, 2, 0, 2, 1, 1, 3, 0, 0] | 1511 => [2, 1, 3] + | 1512 => [1, 3, 0, 2, 0, 0, 3] | 1513 => [1, 2, 1, 1, 2, 1, 2] | 1514 => [0, 3, 0, 2, 1, 1, 3, 0, 3] | 1515 => [0, 3, 1, 2, 0, 0, 3, 1, 3] + | 1516 => [3, 0, 2, 0, 3] | 1517 => [0, 0, 0, 3, 0, 0, 2] | 1518 => [2, 1, 2, 0, 3, 0] | 1519 => [3, 0, 2, 1, 1, 2, 0, 3] + | 1520 => [2, 1, 2, 0, 3, 0, 2] | 1521 => [1, 1, 3, 1, 2, 1, 2, 1, 2] | 1522 => [1, 1, 2, 1, 1, 2, 0, 3] | 1523 => [1, 2, 0, 0, 0, 2, 1, 1] + | 1524 => [0, 2, 1, 2, 0, 0, 2] | 1525 => [1, 1, 2, 1, 2, 0, 0] | 1526 => [3, 1, 2, 0, 0, 3, 1] | 1527 => [0, 3, 1, 2, 0, 0, 3] + | 1528 => [0, 2, 1, 1, 3, 1, 1] | 1529 => [0, 2, 1, 1, 3, 1, 1, 2] | 1530 => [2, 1, 1, 2, 1, 1, 2, 1] | 1531 => [1, 3, 1, 2, 1, 2, 1] + | 1532 => [1, 3, 1, 1, 2, 1, 3] | 1533 => [1, 3, 1, 1, 3, 0, 3, 1, 1] | 1534 => [3, 0, 3, 0, 2, 0] | 1535 => [2, 1, 2, 1, 2, 0, 0, 0, 2] + | 1536 => [2, 0, 3, 0, 0, 2, 0, 3] | 1537 => [2, 0, 3, 0, 3, 0] | 1538 => [2, 0, 0, 3, 1, 1] | 1539 => [0, 3, 0, 0, 3, 1, 1, 2, 1, 3] + | 1540 => [3, 0, 2, 0, 2, 1] | 1541 => [1, 3, 0, 0, 2, 1, 3, 0] | 1542 => [1, 3, 0, 0, 2, 1, 2] | 1543 => [0, 0, 0, 2, 0, 3, 0, 0] + | 1544 => [0, 0, 2, 0, 3, 0, 0] | 1545 => [2, 0, 0, 3, 0, 3, 0, 2] | 1546 => [0, 3, 0, 2, 1, 1, 3, 0] | 1547 => [1, 3, 0, 2, 0, 2, 1] + | 1548 => [0, 2, 0, 0, 0, 2, 0, 0, 0] | 1549 => [1, 1, 2, 0, 3, 0] | 1550 => [1, 3, 0, 0, 2, 0, 3, 0] | 1551 => [1, 3, 0, 2, 0, 0] + | 1552 => [1, 3, 0, 2, 0, 2] | 1553 => [0, 2, 0, 0, 3, 1, 1, 2, 0, 3] | 1554 => [2, 1, 3, 0, 0, 0, 2, 0] | 1555 => [3, 1, 1, 2, 0, 0, 3] + | 1556 => [3, 1, 2, 0, 0, 3] | 1557 => [2, 1, 1, 3, 0, 2, 0] | 1558 => [0, 0, 0, 2, 1, 1, 3] | 1559 => [0, 0, 0, 2, 0, 3, 0] + | 1560 => [1, 1, 2, 1, 3, 0, 0] | 1561 => [3, 1, 2, 0, 3, 0, 0, 3, 1] | 1562 => [1, 2, 1, 3, 1, 1] | 1563 => [1, 1, 3, 1, 1, 2, 1, 2] + | 1564 => [1, 3, 1, 1, 2, 1, 2] | 1565 => [1, 2, 0, 0, 3] | 1566 => [1, 2, 0, 0, 3, 1, 2] | 1567 => [2, 1, 1, 3, 0, 0, 3] + | 1568 => [0, 2, 0, 3, 0, 0, 2, 1, 1] | 1569 => [0, 0, 3, 0, 2, 1] | 1570 => [3, 1, 3, 1, 3, 1] | 1571 => [3, 0, 3, 1, 1, 2, 0, 0, 2] + | 1572 => [1, 1, 2, 0, 0, 2, 1, 1, 3] | 1573 => [0, 0, 3, 0, 2, 0, 0] | 1574 => [3, 1, 1, 2, 1] | 1575 => [0, 0, 0, 3, 1, 2, 1] + | 1576 => [1, 1, 2, 0, 3, 0, 0, 3, 0] | 1577 => [1, 2, 1, 2, 1, 1, 2, 1] | 1578 => [0, 2, 1, 1, 3, 1, 2, 1, 3] | 1579 => [1, 1, 3, 0, 0, 2, 0] + | 1580 => [1, 3, 1, 2, 1, 3] | 1581 => [0, 3, 0, 0, 2, 0, 2] | 1582 => [3, 1, 1, 2, 0, 3, 1] | 1583 => [1, 2, 1, 2, 0, 0, 0, 3, 0] + | 1584 => [0, 3, 1, 1, 2, 1, 2] | 1585 => [0, 0, 0, 3, 0, 2, 0, 3] | 1586 => [0, 0, 2, 0, 0, 3, 1, 2] | 1587 => [0, 0, 0, 2, 1, 3, 1, 1] + | 1588 => [3, 1, 2, 0, 0, 0, 2, 0] | 1589 => [1, 2, 1, 2, 1, 3] | 1590 => [3, 0, 3, 0, 0, 2, 1] | 1591 => [1, 2, 0, 2, 0, 2, 1] + | 1592 => [1, 1, 2, 1, 2] | 1593 => [1, 2, 0, 0, 3, 0, 2, 0, 0] | 1594 => [0, 0, 0, 3, 0, 0, 2, 0, 0, 3] | 1595 => [1, 2, 0, 3, 1, 3, 1, 3] + | 1596 => [1, 2, 1, 3, 0, 2, 0] | 1597 => [1, 1, 3, 0, 0, 0] | 1598 => [1, 1, 3, 0, 0, 2] | 1599 => [0, 0, 3, 1, 3, 1, 1, 2] + | 1600 => [1, 3, 0, 3, 0, 2] | 1601 => [3, 1, 2, 0, 0, 2, 1, 1] | 1602 => [1, 2, 1, 2, 1, 2, 0, 3, 0] | 1603 => [1, 2, 0, 0, 0, 2, 0, 3] + | 1604 => [3, 1, 3, 1, 1, 2] | 1605 => [0, 3, 1, 1, 2, 0] | 1606 => [0, 0, 0, 3, 0, 3, 0, 2] | 1607 => [1, 3, 0, 3, 1, 3] + | 1608 => [0, 2, 0, 0, 3, 1, 3] | 1609 => [3, 1, 3, 1, 2, 0, 0] | 1610 => [2, 0, 0, 3, 1, 1, 3, 0] | 1611 => [0, 0, 0, 3, 0, 2, 1] + | 1612 => [0, 3, 0, 2, 0, 0, 2] | 1613 => [1, 3, 1, 3] | 1614 => [3, 0, 0, 2, 0, 2] | 1615 => [3, 1, 1, 2, 0, 0] + | 1616 => [1, 1, 3, 0, 3, 0, 2, 1] | 1617 => [2, 0, 0, 3, 1, 1, 2, 0] | 1618 => [0, 0, 0, 2, 1, 2, 0, 0, 0] | 1619 => [0, 0, 0, 2, 1, 1, 2] + | 1620 => [0, 0, 0, 3, 0, 2, 1, 3] | 1621 => [1, 3, 1, 3, 1, 2, 1] | 1622 => [1, 3, 1, 3, 1, 2, 1, 2] | 1623 => [0, 0, 2, 0, 0, 2, 0, 0, 2] + | 1624 => [2, 0, 0, 3, 0, 0, 2, 1] | 1625 => [2, 0, 0, 3, 0, 3] | 1626 => [3, 0, 0, 3, 1, 3, 0] | 1627 => [1, 1, 3, 1] + | 1628 => [1, 3, 0, 0, 3, 1, 3, 0] | 1629 => [1, 2, 0, 0, 3, 0, 3] | 1630 => [0, 2, 1, 1, 3, 0, 0, 2, 0] | 1631 => [0, 3, 0, 0, 0, 3, 1, 1] + | 1632 => [0, 0, 0, 3, 1, 1] | 1633 => [0, 0, 0, 3, 1, 1, 2, 1] | 1634 => [0, 3, 1, 2, 1, 2] | 1635 => [1, 3, 1, 1, 2, 0, 3] + | 1636 => [1, 2, 1, 2, 1, 1, 2, 1, 2] | 1637 => [1, 2, 0, 0, 2, 0, 3] | 1638 => [0, 0, 0, 2, 0, 3, 1] | 1639 => [1, 1, 3, 0, 0, 2, 0, 2, 1] + | 1640 => [1, 3, 0, 0, 3, 1, 3, 0, 2] | 1641 => [1, 3, 0, 2, 0, 3, 1] | 1642 => [2, 0, 3, 1, 3, 1, 2] | 1643 => [2, 0, 2, 0, 0, 2, 0] + | 1644 => [2, 0, 3, 1, 3, 1, 3] | 1645 => [1, 1, 2, 1, 1] | 1646 => [0, 3, 1, 1, 3, 1, 1, 3] | 1647 => [0, 0, 3, 0, 3, 0, 0, 2] + | 1648 => [1, 2, 1, 1, 2, 1, 3] | 1649 => [3, 0, 0, 3, 0, 0, 2, 1] | 1650 => [3, 0, 2, 0, 0, 2] | 1651 => [0, 3, 1, 2, 1, 1, 2, 1, 2] + | 1652 => [2, 0, 2, 1, 3, 1, 3] | 1653 => [1, 3, 1, 3, 0, 3, 0, 0, 3] | 1654 => [0, 2, 1, 3, 1] | 1655 => [3, 0, 3, 1, 3, 1] + | 1656 => [0, 3, 0, 0, 3, 0, 0, 3, 1] | 1657 => [3, 0, 0, 3, 1, 2, 1, 1] | 1658 => [0, 0, 0, 3, 0, 0, 2, 1, 2] | 1659 => [1, 2, 1, 3] + | 1660 => [2, 0, 0, 0, 2, 0, 3] | 1661 => [1, 2, 0, 2, 0, 0, 3, 0, 3] | 1662 => [3, 0, 2, 1, 1, 2, 0, 0] | 1663 => [1, 1, 2, 0, 3, 0, 0, 0] + | 1664 => [3, 0, 2, 1, 1, 3] | 1665 => [0, 3, 0, 2, 1, 1, 3, 0, 2] | 1666 => [3, 1, 3, 0, 3, 0, 3, 1] | 1667 => [0, 2, 0, 3, 1, 1, 3, 0] + | 1668 => [1, 2, 1, 3, 1, 2, 1] | 1669 => [0, 0, 0, 2, 1, 3, 1, 2] | 1670 => [2, 0, 0, 0, 2, 0, 0] | 1671 => [0, 2, 1, 3] + | 1672 => [2, 1, 1, 2, 0, 0, 0, 2] | 1673 => [3, 1, 3, 1, 2, 0, 0, 0] | 1674 => [1, 3, 0, 0, 0, 3, 0, 0] | 1675 => [0, 2, 1, 3, 1, 1, 3] + | 1676 => [2, 1, 3, 0, 0, 0, 3, 0] | 1677 => [0, 2, 1, 3, 0, 0, 3] | 1678 => [2, 0, 3, 0, 0, 0] | 1679 => [1, 2, 0, 2, 1] + | 1680 => [1, 1, 2, 0, 0, 2, 0, 0, 2] | 1681 => [0, 2, 0, 2, 1] | 1682 => [1, 1, 2, 1, 2, 0, 2] | 1683 => [1, 2, 0, 3, 1, 1, 2] + | 1684 => [0, 3, 0, 0, 0, 2, 0, 3] | 1685 => [0, 0, 3, 1, 3, 0, 0, 2, 1] | 1686 => [0, 2, 0, 0, 0, 2, 1, 1] | 1687 => [0, 2, 0, 0, 3, 0, 3, 0, 0] + | 1688 => [3, 1, 3] | 1689 => [3, 0, 0, 2, 0, 0, 2] | 1690 => [2, 1, 3, 0, 0, 0, 3, 0, 2] | 1691 => [2, 1, 3, 1] + | 1692 => [1, 3, 1, 2, 0, 3, 0, 2] | 1693 => [3, 1, 2, 1, 2, 0, 0, 3, 0] | 1694 => [0, 3, 1, 2, 1, 3, 0] | 1695 => [2, 1, 1, 2, 1, 1, 2] + | 1696 => [0, 0, 0, 3, 1, 2, 1, 2] | 1697 => [3, 0, 3, 0, 0, 2] | 1698 => [3, 0, 0, 0, 3] | 1699 => [3, 0, 2, 1, 1, 3, 1] + | 1700 => [2, 1, 1, 3, 0, 3, 0, 3] | 1701 => [3, 1, 3, 1, 2] | 1702 => [1, 2, 0, 2, 0, 0, 0, 2] | 1703 => [2, 0, 2, 0, 2, 1, 2] + | 1704 => [0, 0, 3, 0, 0, 3] | 1705 => [2, 0, 0, 0, 3, 1, 2] | 1706 => [0, 2, 0, 2, 1, 1, 3] | 1707 => [2, 1, 2, 0, 3] + | 1708 => [1, 2, 1, 3, 0, 3, 0] | 1709 => [2, 0, 0, 0, 2, 0, 0, 0] | 1710 => [1, 2, 1, 2, 0, 3, 0] | 1711 => [0, 2, 0, 0, 3, 0, 3, 0, 2] + | 1712 => [1, 1, 2, 0, 0, 0, 3, 0] | 1713 => [3, 1, 1, 3, 0, 2, 1, 2] | 1714 => [0, 2, 1, 1, 3, 0, 3] | 1715 => [3, 1, 3, 0, 0, 2, 0, 3] + | 1716 => [1, 3, 0, 0, 2, 0, 0, 2] | 1717 => [2, 1, 3, 0] | 1718 => [0, 2, 1, 1, 3, 1, 2, 1, 2] | 1719 => [1, 1, 3, 0, 3, 0, 2, 0, 0] + | 1720 => [2, 0, 0, 2, 1, 3, 1] | 1721 => [0, 0, 2, 1] | 1722 => [1, 3, 1, 1, 2, 1, 2, 0, 3] | 1723 => [1, 1, 2, 0, 0, 0, 2, 0, 0, 0] + | 1724 => [2, 1, 1, 3, 0, 0, 3, 1] | 1725 => [2, 1, 2, 1, 2, 1, 2, 1] | 1726 => [3, 1, 1, 3, 0, 3, 0, 2, 0] | 1727 => [1, 2, 0, 2, 1, 1, 3, 0] + | 1728 => [0, 0, 3, 0, 3, 0, 3, 1] | 1729 => [1, 3, 1, 3, 1, 2] | 1730 => [2, 0, 2, 1, 3, 1, 1, 2] | 1731 => [0, 3, 0, 0, 2, 1] + | 1732 => [0, 0, 0, 2, 1, 3, 0, 0] | 1733 => [2, 0, 3, 1, 3, 1, 1] | 1734 => [0, 0, 2, 0, 0, 2, 0, 3] | 1735 => [0, 2, 1, 3, 1, 1, 2, 1] + | 1736 => [2, 1, 3, 0, 0, 0, 3, 1] | 1737 => [1, 1, 3, 0, 3, 0, 2] | 1738 => [1, 2, 1, 1, 2, 1, 1, 2, 1, 3] | 1739 => [0, 0, 0, 2, 0, 2, 0, 0, 0] + | 1740 => [3, 1, 2, 0, 0, 3, 0, 3] | 1741 => [3, 0, 2, 1, 1] | 1742 => [2, 1, 1, 3, 0, 3, 0] | 1743 => [2, 1, 1, 3, 0] + | 1744 => [0, 0, 3, 0, 3, 1, 1] | 1745 => [0, 2, 1, 3, 1, 2, 1] | 1746 => [1, 2, 1, 2, 0, 0, 0, 3] | 1747 => [0, 0, 2, 0, 3, 1, 1, 3] + | 1748 => [3, 0, 0, 3, 1, 2] | 1749 => [2, 0, 3, 1, 2, 0, 0, 3] | 1750 => [2, 0, 0, 3, 0, 0, 2, 1, 1] | 1751 => [0, 3, 1, 2, 1, 1, 2] + | 1752 => [0, 0, 2, 0, 0, 2, 1, 1] | 1753 => [2, 1, 1, 2, 0, 0, 0, 2, 0] | 1754 => [0, 0, 3, 0, 2, 1, 3, 1, 3] | 1755 => [1, 3, 1, 1, 2, 1, 3, 0, 2, 0] + | 1756 => [1, 1, 2, 1, 3, 0] | 1757 => [0, 0, 0, 3, 1] | 1758 => [3, 1, 2, 0, 0, 2, 0, 3] | 1759 => [1, 3, 0, 3, 0, 2, 0] + | 1760 => [3, 1, 1, 2, 1, 2, 0] | 1761 => [0, 2, 0, 0, 0, 2, 0, 0, 2] | 1762 => [1, 1, 3, 1, 3, 1, 2, 1, 1] | 1763 => [1, 3, 1, 1, 3, 0, 2, 0, 2] + | 1764 => [0, 0, 0, 2, 0, 2, 0, 0, 2] | 1765 => [0, 3, 1, 2] | 1766 => [1, 2, 1, 2, 0, 0, 3] | 1767 => [1, 3, 1, 2, 0, 0, 2, 0] + | 1768 => [2, 0, 2, 0, 2, 1, 3] | 1769 => [1, 2, 1, 3, 1, 3] | 1770 => [3, 1, 1, 2, 0] | 1771 => [2, 0, 3, 1] + | 1772 => [0, 3, 0, 2, 0, 3, 1] | 1773 => [0, 3, 1, 2, 0, 0, 2, 1] | 1774 => [0, 0, 3, 0, 0, 2, 1, 3, 0] | 1775 => [1, 2, 0, 3, 0, 2] + | 1776 => [3, 1, 1, 3, 0, 2] | 1777 => [0, 3, 0, 2, 1, 1] | 1778 => [0, 3, 1, 1, 3, 1, 1, 3, 0] | 1779 => [2, 0, 3, 0, 0, 2, 0] + | 1780 => [2, 0, 3, 0, 0, 3] | 1781 => [2, 0, 0, 3, 1, 2, 1] | 1782 => [3, 0, 2, 1, 1, 3, 1, 1] | 1783 => [0, 2, 0, 2, 0, 2, 1, 3] + | 1784 => [3, 1, 3, 0, 0, 2, 0, 2] | 1785 => [3, 1, 1, 3, 0, 3, 0, 3, 0] | 1786 => [1, 1, 3, 0, 3, 0, 0, 2] | 1787 => [1, 2, 0, 3, 1, 1] + | 1788 => [0, 3, 1, 2, 0, 0, 0] | 1789 => [0, 3, 0, 0, 2, 1, 1, 3] | 1790 => [1, 1, 2, 0, 3, 0, 0, 0, 3] | 1791 => [0, 0, 3, 1, 1, 3, 0, 2, 0] + | 1792 => [3, 1, 1, 3, 0, 3, 0, 2] | 1793 => [1, 2, 1, 3, 0, 0, 2] | 1794 => [1, 3, 0, 0, 2] | 1795 => [0, 2, 1, 1, 3, 1, 3, 1, 1] + | 1796 => [3, 1, 2, 0, 0, 3, 1, 2] | 1797 => [0, 2, 0, 3, 1, 1, 3] | 1798 => [3, 1, 1, 2, 0, 3] | 1799 => [0, 0, 3, 0, 0, 2, 1, 1, 3] + | 1800 => [1, 3, 0, 3, 1, 2] | 1801 => [2, 1, 3, 0, 0, 0, 3, 0, 0] | 1802 => [2, 0, 0, 3, 1, 2] | 1803 => [1, 1, 2, 1, 3, 1] + | 1804 => [0, 0, 2, 0, 3, 0, 3] | 1805 => [0, 0, 2, 0, 0, 3, 1, 3, 1, 3] | 1806 => [0, 0, 2, 1, 3, 1, 1, 3] | 1807 => [0, 0, 0, 3, 0, 0, 2, 1, 3, 0] + | 1808 => [3, 1, 2] | 1809 => [1, 2, 0, 0, 0, 2, 0, 2, 0] | 1810 => [1, 1, 2, 0, 0, 2, 1, 1, 2] | 1811 => [2, 0, 3, 1, 1] + | 1812 => [3, 1, 2, 1, 3, 0, 0] | 1813 => [1, 1, 2, 1, 2, 1, 1] | 1814 => [0, 0, 3, 0, 2, 1, 3, 1] | 1815 => [1, 1, 2, 1, 2, 1, 1, 2] + | 1816 => [1, 2, 1, 2, 0, 0, 0, 2, 0, 2] | 1817 => [1, 3, 0, 3, 0, 3] | 1818 => [1, 1, 2, 0, 0, 2, 1, 3] | 1819 => [2, 0, 2, 0, 0, 2, 0, 2, 0] + | 1820 => [2, 0, 0, 0, 2, 0, 2, 1] | 1821 => [1, 3, 1, 3, 0, 3, 0, 0, 2] | 1822 => [2, 0, 0, 0, 2, 0, 2, 0, 0] | 1823 => [0, 0, 2, 1, 3, 0, 0, 2] + | 1824 => [1, 1, 2, 0, 0, 0, 3, 1, 3] | 1825 => [1, 1, 3, 0, 0, 0, 3] | 1826 => [1, 2, 1, 3, 0, 0] | 1827 => [1, 2, 0, 3, 1, 1, 2, 1, 1] + | 1828 => [2, 0, 3, 0, 0, 0, 3] | 1829 => [1, 2, 0, 3, 0, 0, 3, 1] | 1830 => [1, 2, 1, 2, 0, 3, 0, 2] | 1831 => [2, 0, 0, 3, 1, 3] + | 1832 => [1, 3, 0, 0, 2, 0] | 1833 => [0, 0, 3, 0, 2, 1, 1, 2] | 1834 => [0, 0, 3, 0, 0, 2, 1, 1] | 1835 => [0, 0, 2, 0, 3, 0, 0, 0] + | 1836 => [0, 2, 1, 2, 0, 2, 0] | 1837 => [3, 1, 3, 1, 3] | 1838 => [1, 2, 0, 3, 0, 0, 0] | 1839 => [2, 1, 3, 0, 3, 0, 0] + | 1840 => [0, 0, 3, 0, 3, 1, 3] | 1841 => [0, 0, 3, 0, 3, 1] | 1842 => [2, 0, 0, 3, 1, 2, 0, 0] | 1843 => [1, 1, 2, 0, 2, 0, 0, 3, 0, 2] + | 1844 => [0, 0, 2, 1, 3, 1] | 1845 => [3, 1, 2, 1, 2] | 1846 => [0, 2, 0, 3, 1, 1] | 1847 => [1, 1, 2, 1, 3] + | 1848 => [2, 0, 0, 3, 1, 2, 0, 2] | 1849 => [2, 0, 3, 1, 2, 0, 0, 3, 1] | 1850 => [1, 3, 1, 3, 1, 2, 0, 0] | 1851 => [0, 3, 1, 1, 2, 0, 2, 0] + | 1852 => [2, 1, 2, 0, 2, 0, 2] | 1853 => [0, 0, 2, 1, 3, 0, 3, 0, 3] | 1854 => [1, 1, 2, 0, 0, 2, 0, 0, 3, 1] | 1855 => [2, 0, 0, 3, 1, 3, 1] + | 1856 => [0, 0, 0, 3, 0, 2, 0, 3, 1, 3] | 1857 => [2, 0, 0, 0, 2, 0, 2, 0] | 1858 => [0, 3, 1, 1, 2, 0, 0] | 1859 => [2, 0, 0, 3, 0, 3, 0, 0] + | 1860 => [3, 1, 3, 0, 0, 0, 3] | 1861 => [0, 0, 0, 3, 0, 0, 2, 0, 0] | 1862 => [0, 3, 0, 0, 2, 0, 0, 0] | 1863 => [1, 1, 3, 0, 3, 0, 0, 2, 1] + | 1864 => [1, 2, 0, 2, 0, 0, 0, 3] | 1865 => [3, 1, 3, 0, 0, 2, 1] | 1866 => [2, 0, 0, 0, 2, 1] | 1867 => [0, 2, 0, 0, 3, 1, 1, 2, 0] + | 1868 => [0, 0, 3, 1, 1, 3, 0, 2, 0, 0] | 1869 => [0, 0, 3, 0, 3, 1, 1, 2] | 1870 => [1, 3, 1, 3, 1, 1, 3] | 1871 => [0, 0, 2, 0, 3, 1, 2] + | 1872 => [2, 0, 0, 3, 1, 1, 2, 1] | 1873 => [0, 0, 0, 2, 1] | 1874 => [1, 1, 2, 0, 2, 0, 0] | 1875 => [3, 1, 2, 1, 3, 0] + | 1876 => [0, 0, 2, 1, 2, 1, 2, 0] | 1877 => [1, 2, 0, 0, 2, 0] | 1878 => [1, 2, 0, 3, 0] | 1879 => [0, 3, 0, 2, 0, 0, 2, 0] + | 1880 => [0, 3, 0, 0, 2, 1, 3] | 1881 => [1, 1, 2, 0, 3, 0, 0, 0, 2] | 1882 => [0, 3, 1, 1, 3, 1, 3, 1, 2] | 1883 => [0, 0, 3, 0, 2, 0, 0, 2] + | 1884 => [0, 0, 2, 1, 2, 1, 3] | 1885 => [0, 0, 0, 2, 1, 2, 0, 0] | 1886 => [1, 1, 2, 0, 0, 0, 3, 1] | 1887 => [0, 0, 3, 1, 1, 3, 0, 2, 1, 1] + | 1888 => [0, 2, 1, 3, 1, 3, 1] | 1889 => [1, 3, 0, 3, 0, 3, 1] | 1890 => [1, 1, 2, 1, 2, 1] | 1891 => [3, 1, 3, 1, 2, 1] + | 1892 => [0, 3, 1, 2, 0, 0, 0, 3] | 1893 => [2, 1, 3, 0, 0, 0, 3] | 1894 => [1, 1, 2, 0, 3, 1, 1, 2] | 1895 => [0, 0, 3, 1, 2] + | 1896 => [0, 0, 2, 1, 3, 1, 2] | 1897 => [2, 1, 1, 2, 1, 3, 0] | 1898 => [0, 3, 1, 2, 0, 0, 3, 0] | 1899 => [1, 1, 2, 1, 3, 1, 1, 3] + | 1900 => [3, 1, 1, 3, 0, 2, 0] | 1901 => [0, 0, 2, 1, 3, 0, 0, 0] | 1902 => [0, 0, 0, 3, 1, 2] | 1903 => [1, 3, 1, 3, 1, 3, 1, 3] + | 1904 => [0, 2, 1, 3, 1, 1, 2] | 1905 => [0, 0, 2, 0, 3, 1, 3, 1] | 1906 => [0, 3, 1, 1, 3, 1, 3, 1] | 1907 => [2, 1, 1, 2, 1, 3, 0, 3] + | 1908 => [0, 0, 0, 2, 0, 2, 1, 3] | 1909 => [1, 1, 2, 0, 2, 0, 0, 3, 0] | 1910 => [1, 2, 1, 2, 1, 1, 2, 1, 3] | 1911 => [0, 0, 0, 3, 0, 3, 1] + | 1912 => [1, 2, 1, 2, 0, 2, 0, 2, 0] | 1913 => [0, 0, 0, 2, 1, 3, 1, 3] | 1914 => [0, 0, 2, 0, 3, 0, 2] | 1915 => [3, 1, 1, 2, 0, 0, 0, 3] + | 1916 => [0, 3, 1, 3, 1, 2, 0, 0] | 1917 => [1, 3, 1, 2, 1, 2, 1, 2] | 1918 => [0, 0, 2, 1, 3] | 1919 => [1, 2, 0, 3, 0, 0, 3, 0] + | 1920 => [1, 2, 0, 3, 0, 0] | 1921 => [0, 0, 0, 3, 0, 2, 0, 0] | 1922 => [1, 2, 1, 3, 1, 1, 2] | 1923 => [1, 3, 1, 3, 1, 2, 1, 1] + | 1924 => [3, 1, 3, 1, 2, 0] | 1925 => [0, 0, 0, 3, 0, 2, 0, 3, 1] | 1926 => [0, 0, 0, 2, 0, 2, 1, 2] | 1927 => [0, 3, 1, 2, 1] + | 1928 => [0, 2, 0, 0, 0, 2, 1, 3] | 1929 => [0, 3, 0, 0, 3, 0, 0, 3, 1, 3] | 1930 => [2, 0, 0, 0, 3, 0, 3, 0, 2] | 1931 => [3, 0, 2, 0, 2, 1, 2] + | 1932 => [2, 0, 0, 3, 0, 0, 2] | 1933 => [1, 3, 1, 1, 2, 1, 3, 0, 3] | 1934 => [0, 2, 1, 1, 3, 1, 3, 1, 3] | 1935 => [1, 3, 1, 2, 1, 2, 0, 0, 2] + | 1936 => [2, 0, 3, 0, 0, 3, 0] | 1937 => [2, 0, 0, 3, 1, 1, 2] | 1938 => [1, 1, 2, 0, 3, 0, 3] | 1939 => [0, 0, 3, 0, 3, 1, 3, 1] + | 1940 => [0, 0, 2, 0, 0, 0, 2, 0] | 1941 => [0, 0, 0, 2, 1, 2] | 1942 => [0, 0, 2, 1, 3, 1, 3] | 1943 => [3, 1, 2, 1, 2, 0, 0, 3] + | 1944 => [1, 1, 2, 0, 3, 1, 1] | 1945 => [0, 3, 0, 2, 0, 3, 1, 3] | 1946 => [2, 0, 0, 0, 3, 0, 3, 0, 0] | 1947 => [0, 0, 0, 3, 0, 3, 1, 3] + | 1948 => [1, 3, 1, 3, 1, 1] | 1949 => [0, 0, 0, 2, 1, 3, 1] | 1950 => [1, 3, 1, 1, 2, 1] | 1951 => [2, 1, 3, 1, 1] + | 1952 => [1, 3, 1, 1, 2, 1, 2, 0, 2] | 1953 => [0, 0, 0, 3, 0, 0, 2, 0] | 1954 => [1, 1, 3, 0, 0, 2, 0, 2] | 1955 => [0, 0, 0, 3, 0, 0, 2, 0, 2] + | 1956 => [1, 1, 2, 1, 3, 1, 1] | 1957 => [0, 2, 1, 1, 3, 0, 0, 2] | 1958 => [0, 3, 0, 2, 0, 3] | 1959 => [0, 2, 0, 0, 3, 1] + | 1960 => [0, 3, 1, 2, 0, 0, 2] | 1961 => [1, 3, 1, 1, 2, 0] | 1962 => [0, 2, 1, 3, 0, 0] | 1963 => [3, 1, 3, 0, 0, 2, 0] + | 1964 => [0, 0, 0, 3, 0, 2, 0, 3, 1, 2] | 1965 => [1, 1, 3, 1, 2, 1, 3] | 1966 => [1, 3, 0, 0, 2, 0, 2] | 1967 => [0, 0, 2, 0, 3, 1, 3] + | 1968 => [1, 3, 1, 2, 1, 2, 0, 0] | 1969 => [0, 2, 1, 1, 3, 1, 3, 1, 2] | 1970 => [0, 0, 2, 0, 3, 1] | 1971 => [0, 2, 0, 2, 1, 2] + | 1972 => [0, 3, 1, 2, 1, 3] | 1973 => [1, 2, 0, 3, 1, 1, 2, 1, 1, 2] | 1974 => [1, 3, 1, 2, 1, 2, 0, 0, 0] | 1975 => [1, 2, 0, 0, 0, 2, 0, 3, 0] + | 1976 => [1, 3, 0, 2, 0, 3] | 1977 => [0, 2, 1, 1, 3, 0, 0, 2, 1] | 1978 => [3, 0, 0, 3, 1, 3] | 1979 => [1, 2, 0, 0, 3, 0] + | 1980 => [2, 0, 2, 0, 0, 2, 0, 0] | 1981 => [1, 2, 0, 0, 0, 2, 1] | 1982 => [0, 0, 0, 2, 0, 2, 0, 0, 0, 3] | 1983 => [0, 2, 0, 0, 0, 2, 1] + | 1984 => [2, 0, 0, 3, 1] | 1985 => [2, 0, 0, 0, 3, 0, 3, 0, 3] | 1986 => [1, 3, 0, 0, 2, 1, 3] | 1987 => [3, 0, 2, 0, 3, 1, 3, 1] + | 1988 => [1, 2, 1, 3, 1] | 1989 => [0, 2, 1, 3, 1, 3] | 1990 => [2, 1, 1, 3, 0, 2, 0, 0] | 1991 => [1, 3, 1, 1, 2, 1, 2, 0] + | 1992 => [1, 2, 0, 0, 3, 1, 2, 0] | 1993 => [3, 1, 1, 2, 1, 2] | 1994 => [0, 3, 0, 0, 2, 1, 1] | 1995 => [0, 0, 0, 3, 0, 0, 2, 1, 1] + | 1996 => [1, 3, 1, 1, 3, 0, 2, 0, 3] | 1997 => [1, 2, 1, 1, 2, 1, 1, 2, 1] | 1998 => [0, 2, 1, 1, 3, 1, 3, 1] | 1999 => [0, 3, 0, 0, 2, 1, 2] + | 2000 => [0, 3, 1, 2, 1, 1, 2, 1, 3] | 2001 => [0, 2, 1, 3, 1, 2] | 2002 => [3, 0, 0, 3, 1, 2, 1] | 2003 => [0, 0, 0, 3, 0, 0, 2, 1, 3] + | 2004 => [0, 3, 0, 2, 1, 1, 3] | 2005 => [1, 2, 1, 3, 1, 2] | 2006 => [1, 3, 1, 3, 1, 1, 2] | 2007 => [3, 1, 2, 1, 3] + | 2008 => [0, 0, 3, 0, 2, 1, 1, 3] | 2009 => [1, 2, 0, 0, 0, 2, 0, 2, 1] | 2010 => [0, 0, 0, 3, 1, 2, 1, 3] | 2011 => [0, 0, 0, 3, 0, 0, 2, 1] + | 2012 => [0, 3, 0, 2, 1, 1, 2] | 2013 => [0, 0, 2, 1, 3, 1, 1] | 2014 => [0, 2, 0, 3, 1, 1, 2] | 2015 => [0, 0, 0, 2, 1, 3] + +theorem meinhold2016Witness_correct : + ∀ v : Fin 2016, applyWord' meinhold2016Gens (meinhold2016WitnessWords v) 0 = v := by + native_decide + +/-! ## Graph definition via connection set -/ + +private def meinhold2016AdjBool (u v : Fin 2016) : Bool := + u ≠ v && + (let w := (applyWord' meinhold2016Gens (meinhold2016WitnessWords u)).symm v + w == (5 : Fin 2016) || w == (18 : Fin 2016) || w == (60 : Fin 2016) || w == (408 : Fin 2016) || w == (742 : Fin 2016) || w == (1412 : Fin 2016)) + +/-- The Meinhold-2016 graph: 2016 vertices, 6-regular, girth 8. -/ +def meinhold2016Graph : SimpleGraph (Fin 2016) where + Adj u v := meinhold2016AdjBool u v + symm u v := by simp only [meinhold2016AdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [meinhold2016AdjBool]; revert u; native_decide⟩ + +instance meinhold2016DecAdj : DecidableRel meinhold2016Graph.Adj := + fun u v => inferInstanceAs (Decidable (meinhold2016AdjBool u v)) + +theorem meinhold2016Gen1_adj : ∀ u v : Fin 2016, + meinhold2016Graph.Adj u v ↔ meinhold2016Graph.Adj (meinhold2016Gens 0 u) (meinhold2016Gens 0 v) := by + native_decide + +theorem meinhold2016Gen2_adj : ∀ u v : Fin 2016, + meinhold2016Graph.Adj u v ↔ meinhold2016Graph.Adj (meinhold2016Gens 1 u) (meinhold2016Gens 1 v) := by + native_decide + +/-! ## Sabidussi coset graph proof -/ + +private def m2016Group := Subgroup.closure (Set.range meinhold2016Gens) + +private noncomputable instance : MulAction m2016Group (Fin 2016) := + MulAction.compHom _ m2016Group.subtype + +private noncomputable instance : GraphAction m2016Group (Fin 2016) meinhold2016Graph where + adj_smul g u v h := closureGraphAction meinhold2016Gens + (fun i => by match i with | 0 => exact meinhold2016Gen1_adj | 1 => exact meinhold2016Gen2_adj) + g.1 g.2 u v h + +set_option maxRecDepth 2048 in +private noncomputable instance : MulAction.IsPretransitive m2016Group (Fin 2016) where + exists_smul_eq x y := + ⟨⟨_, m2016Group.mul_mem (applyWord'_mem meinhold2016Gens _) + (m2016Group.inv_mem (applyWord'_mem meinhold2016Gens _))⟩, by + change ((applyWord' meinhold2016Gens (meinhold2016WitnessWords x)).symm.trans + (applyWord' meinhold2016Gens (meinhold2016WitnessWords y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' meinhold2016Gens (meinhold2016WitnessWords x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (meinhold2016Witness_correct x).symm] + exact meinhold2016Witness_correct y⟩ + +/-- **Meinhold-2016 is a Sabidussi coset graph.** + +G₂(2) acts vertex-transitively on the 2016 cosets of C₆. +`Meinhold-2016 ≃g Sab(G₂(2), C₆, D)` with `2016 = 12096/6` vertices. -/ +noncomputable def meinhold2016SabidussiIso : + meinhold2016Graph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer m2016Group (0 : Fin 2016)) + (connectionSet m2016Group meinhold2016Graph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +/-! ## Properties -/ + +/-- Meinhold-2016 is connected. -/ +theorem meinhold2016_connected : meinhold2016Graph.Connected := by native_decide + +/-- Meinhold-2016 has no triangles. -/ +theorem meinhold2016_triangleFree : + ∀ u v w : Fin 2016, meinhold2016Graph.Adj u v → meinhold2016Graph.Adj v w → + meinhold2016Graph.Adj u w → False := by + native_decide + +/-- Meinhold-2016 has an 8-cycle (combined with triangle-free, girth ≤ 8). -/ +theorem meinhold2016_has_8cycle : + ∃ a b c d e f g h : Fin 2016, + meinhold2016Graph.Adj a b ∧ meinhold2016Graph.Adj b c ∧ + meinhold2016Graph.Adj c d ∧ meinhold2016Graph.Adj d e ∧ + meinhold2016Graph.Adj e f ∧ meinhold2016Graph.Adj f g ∧ + meinhold2016Graph.Adj g h ∧ meinhold2016Graph.Adj h a := by + exact ⟨0, 5, 176, 1711, 1719, 477, 382, 18, + by native_decide, by native_decide, by native_decide, by native_decide, + by native_decide, by native_decide, by native_decide, by native_decide⟩ diff --git a/Archive/Meinhold504.lean b/Archive/Meinhold504.lean new file mode 100644 index 00000000000000..5bc62ec627d7d9 --- /dev/null +++ b/Archive/Meinhold504.lean @@ -0,0 +1,334 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Connectivity.Finite +import Mathlib.Combinatorics.SimpleGraph.Finite +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Meinhold-504: Sabidussi coset graph Sab(G₂(2), S₄) + +The **Meinhold-504** graph (504 vertices, 24-regular, girth 4) is the coset graph +`Sab(G₂(2), S₄)` with `504 = 12096/24` vertices. + +Named after Nick Meinhold, co-founder of Imagineering Melbourne. + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longFile 1500 +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-! ## Generators of G₂(2) on 504 cosets -/ + +private def meinhold504Gen1Fwd : Array (Fin 504) := #[ + 2, 4, 8, 12, 16, 19, 22, 25, 29, 33, 37, 40, 30, 45, 47, 21, 53, 57, 61, 65, 0, 68, 28, 75, 49, 78, 81, 71, 14, 86, + 90, 94, 96, 99, 102, 103, 105, 108, 43, 113, 117, 121, 124, 128, 23, 133, 1, 52, 139, 24, 142, 70, 6, 145, 149, 153, 155, 158, 160, 161, + 163, 166, 167, 171, 174, 177, 180, 184, 27, 186, 84, 85, 189, 193, 196, 199, 201, 203, 51, 206, 126, 209, 62, 215, 7, 15, 20, 130, 224, 115, + 228, 95, 231, 232, 234, 238, 241, 233, 240, 250, 252, 211, 255, 258, 261, 210, 181, 267, 269, 272, 212, 82, 277, 150, 281, 283, 285, 235, 131, 10, + 289, 251, 295, 296, 298, 301, 208, 304, 194, 307, 308, 169, 311, 313, 230, 248, 318, 11, 322, 222, 324, 327, 286, 135, 256, 46, 50, 310, 214, 337, + 339, 340, 38, 303, 157, 345, 290, 344, 34, 260, 353, 354, 356, 331, 319, 242, 118, 207, 363, 18, 225, 44, 247, 370, 372, 375, 197, 170, 330, 104, + 380, 140, 384, 316, 87, 373, 88, 381, 390, 391, 106, 60, 134, 83, 348, 360, 312, 399, 237, 63, 35, 89, 221, 406, 338, 192, 176, 321, 154, 156, + 412, 347, 151, 414, 416, 417, 418, 333, 421, 183, 424, 425, 41, 401, 428, 5, 107, 116, 432, 144, 173, 434, 66, 146, 159, 427, 74, 64, 415, 440, + 314, 179, 148, 31, 426, 216, 442, 300, 329, 239, 444, 48, 13, 446, 278, 17, 430, 138, 452, 92, 243, 32, 355, 69, 368, 350, 320, 204, 456, 459, + 165, 198, 236, 132, 56, 26, 122, 462, 229, 120, 93, 143, 39, 411, 123, 448, 97, 396, 439, 268, 275, 457, 371, 315, 469, 471, 266, 323, 410, 297, + 306, 475, 110, 101, 274, 389, 474, 476, 385, 438, 478, 341, 109, 100, 178, 447, 423, 481, 219, 164, 450, 111, 223, 470, 413, 334, 485, 429, 465, 114, + 460, 328, 262, 187, 244, 309, 79, 287, 466, 431, 343, 398, 491, 302, 80, 127, 147, 55, 152, 253, 293, 273, 73, 162, 490, 369, 397, 294, 392, 59, + 346, 394, 405, 362, 188, 453, 218, 436, 494, 455, 205, 202, 271, 495, 484, 468, 91, 435, 441, 332, 280, 388, 497, 483, 386, 67, 408, 357, 404, 112, + 374, 141, 492, 299, 387, 376, 479, 58, 351, 336, 246, 407, 227, 168, 217, 461, 342, 257, 383, 367, 291, 76, 477, 190, 249, 395, 270, 352, 175, 487, + 486, 493, 498, 136, 422, 482, 472, 137, 263, 72, 254, 282, 3, 502, 377, 259, 445, 326, 433, 409, 489, 449, 437, 77, 501, 288, 125, 496, 451, 464, + 284, 402, 500, 378, 393, 379, 458, 42, 279, 119, 98, 403, 480, 36, 365, 191, 226, 172, 245, 361, 454, 382, 503, 364, 467, 349, 264, 463, 195, 54, + 305, 220, 292, 182, 473, 400, 366, 419, 335, 213, 499, 443, 185, 420, 129, 358, 265, 276, 317, 359, 200, 9, 488, 325 +] +private def meinhold504Gen1Rev : Array (Fin 504) := #[ + 20, 46, 0, 432, 1, 225, 52, 84, 2, 501, 119, 137, 3, 252, 28, 85, 4, 255, 169, 5, 86, 15, 6, 44, 49, 7, 275, 68, 22, 8, + 12, 243, 261, 9, 158, 200, 463, 10, 152, 282, 11, 222, 457, 38, 171, 13, 145, 14, 251, 24, 146, 78, 47, 16, 479, 347, 274, 17, 397, 359, + 191, 18, 82, 199, 237, 19, 232, 385, 21, 263, 51, 27, 429, 352, 236, 23, 411, 443, 25, 336, 344, 26, 111, 193, 70, 71, 29, 184, 186, 201, + 30, 376, 259, 280, 31, 91, 32, 286, 460, 33, 313, 303, 34, 35, 179, 36, 190, 226, 37, 312, 302, 321, 389, 39, 329, 89, 227, 40, 166, 459, + 279, 41, 276, 284, 42, 446, 80, 345, 43, 494, 87, 118, 273, 45, 192, 143, 423, 427, 257, 48, 181, 391, 50, 281, 229, 53, 233, 346, 242, 54, + 113, 212, 348, 55, 208, 56, 209, 154, 57, 234, 58, 59, 353, 60, 319, 270, 61, 62, 403, 131, 177, 63, 467, 230, 64, 418, 206, 65, 314, 241, + 66, 106, 483, 219, 67, 492, 69, 333, 364, 72, 413, 465, 205, 73, 128, 478, 74, 176, 271, 75, 500, 76, 371, 77, 267, 370, 79, 167, 126, 81, + 105, 101, 110, 489, 148, 83, 245, 404, 366, 318, 481, 202, 139, 322, 88, 170, 466, 402, 90, 278, 134, 92, 93, 97, 94, 117, 272, 198, 95, 249, + 98, 96, 165, 260, 334, 468, 400, 172, 135, 414, 99, 121, 100, 349, 430, 102, 144, 407, 103, 435, 159, 104, 332, 428, 476, 496, 296, 107, 289, 108, + 416, 372, 109, 351, 304, 290, 497, 112, 254, 458, 380, 114, 431, 115, 450, 116, 142, 337, 445, 120, 156, 410, 482, 350, 357, 122, 123, 299, 124, 393, + 247, 125, 343, 153, 127, 480, 300, 129, 130, 335, 147, 132, 196, 133, 240, 293, 183, 498, 136, 164, 266, 207, 138, 297, 140, 503, 437, 141, 331, 248, + 178, 163, 379, 217, 325, 488, 399, 149, 204, 150, 151, 311, 406, 340, 157, 155, 360, 211, 194, 475, 265, 398, 417, 160, 161, 262, 162, 387, 495, 499, + 195, 469, 363, 168, 473, 464, 486, 409, 264, 355, 173, 292, 174, 185, 390, 175, 395, 434, 453, 455, 180, 187, 471, 408, 182, 308, 384, 394, 381, 305, + 188, 189, 358, 454, 361, 415, 287, 356, 341, 197, 485, 223, 451, 461, 388, 362, 203, 401, 386, 439, 298, 283, 210, 324, 213, 238, 214, 215, 216, 487, + 493, 218, 424, 316, 220, 221, 244, 235, 224, 327, 256, 339, 228, 438, 231, 377, 367, 442, 309, 288, 239, 378, 246, 491, 250, 436, 253, 315, 285, 441, + 320, 448, 258, 365, 470, 369, 268, 291, 456, 269, 330, 405, 277, 477, 449, 328, 338, 474, 375, 294, 323, 295, 426, 484, 306, 301, 307, 412, 310, 396, + 462, 317, 425, 383, 374, 326, 420, 419, 502, 440, 354, 342, 392, 421, 368, 373, 447, 382, 422, 490, 452, 444, 433, 472 +] +private def meinhold504Gen2Fwd : Array (Fin 504) := #[ + 3, 5, 9, 13, 17, 11, 23, 26, 30, 34, 38, 1, 43, 0, 48, 50, 54, 58, 62, 66, 67, 69, 72, 76, 77, 79, 32, 82, 83, 87, + 91, 95, 7, 100, 2, 104, 106, 109, 112, 114, 118, 122, 125, 129, 130, 134, 135, 136, 61, 140, 56, 143, 144, 146, 150, 133, 15, 124, 4, 162, + 164, 14, 168, 172, 175, 116, 181, 185, 176, 74, 187, 188, 190, 194, 21, 161, 6, 183, 204, 138, 60, 210, 213, 89, 216, 217, 218, 221, 225, 28, + 229, 8, 71, 102, 235, 126, 242, 245, 247, 251, 253, 254, 237, 236, 262, 264, 111, 149, 249, 273, 192, 36, 10, 165, 260, 157, 147, 286, 287, 288, + 290, 292, 153, 297, 299, 127, 31, 42, 305, 12, 309, 98, 88, 178, 223, 315, 319, 321, 25, 269, 314, 328, 331, 212, 148, 333, 295, 65, 52, 271, + 16, 341, 160, 41, 342, 346, 349, 350, 351, 352, 199, 257, 182, 357, 80, 177, 340, 361, 18, 364, 365, 366, 369, 371, 373, 179, 289, 113, 55, 64, + 381, 19, 59, 24, 387, 20, 234, 317, 92, 392, 22, 394, 231, 359, 397, 97, 154, 400, 103, 152, 90, 303, 151, 407, 312, 396, 408, 409, 382, 384, + 413, 395, 51, 27, 275, 385, 335, 220, 403, 302, 85, 29, 426, 45, 189, 132, 429, 266, 184, 200, 329, 110, 436, 203, 438, 405, 198, 93, 439, 398, + 211, 222, 304, 108, 191, 195, 99, 131, 443, 243, 206, 246, 344, 33, 447, 448, 449, 75, 128, 215, 39, 171, 35, 156, 348, 386, 401, 455, 193, 432, + 330, 107, 460, 37, 174, 461, 367, 434, 380, 376, 163, 465, 363, 467, 180, 327, 355, 40, 468, 68, 294, 450, 356, 173, 120, 53, 472, 300, 391, 57, + 123, 354, 402, 422, 96, 258, 270, 142, 477, 44, 453, 437, 78, 480, 49, 46, 345, 70, 375, 47, 481, 483, 167, 255, 479, 301, 486, 433, 487, 390, + 306, 307, 252, 420, 158, 84, 464, 485, 207, 209, 489, 202, 196, 451, 332, 457, 488, 320, 105, 263, 115, 334, 474, 430, 325, 117, 121, 280, 353, 268, + 279, 322, 389, 379, 492, 368, 261, 466, 170, 63, 326, 293, 378, 274, 452, 459, 360, 298, 424, 282, 440, 284, 411, 427, 339, 259, 431, 228, 490, 399, + 230, 377, 224, 336, 244, 240, 410, 73, 473, 362, 470, 227, 219, 86, 296, 94, 441, 233, 250, 338, 205, 208, 406, 81, 417, 277, 418, 421, 425, 272, + 145, 414, 201, 484, 372, 416, 241, 497, 496, 482, 358, 265, 139, 285, 415, 267, 499, 498, 186, 501, 278, 412, 463, 456, 256, 343, 374, 101, 323, 444, + 458, 445, 446, 493, 283, 435, 248, 316, 291, 318, 419, 214, 388, 491, 393, 494, 276, 454, 119, 308, 197, 478, 404, 239, 159, 428, 337, 469, 495, 503, + 502, 347, 226, 137, 500, 476, 370, 141, 155, 166, 462, 442, 169, 310, 281, 471, 475, 383, 311, 232, 423, 238, 313, 324 +] +private def meinhold504Gen2Rev : Array (Fin 504) := #[ + 13, 11, 34, 0, 58, 1, 76, 32, 91, 2, 112, 5, 129, 3, 61, 56, 150, 4, 168, 181, 185, 74, 190, 6, 183, 138, 7, 213, 89, 221, + 8, 126, 26, 253, 9, 262, 111, 273, 10, 260, 287, 153, 127, 12, 309, 223, 315, 319, 14, 314, 15, 212, 148, 295, 16, 178, 50, 299, 17, 182, + 80, 48, 18, 369, 179, 147, 19, 20, 289, 21, 317, 92, 22, 397, 69, 257, 23, 24, 312, 25, 164, 413, 27, 28, 335, 220, 403, 29, 132, 83, + 200, 30, 188, 237, 405, 31, 304, 195, 131, 246, 33, 447, 93, 198, 35, 348, 36, 271, 243, 37, 231, 106, 38, 177, 39, 350, 65, 355, 40, 468, + 294, 356, 41, 300, 57, 42, 95, 125, 258, 43, 44, 247, 225, 55, 45, 46, 47, 483, 79, 432, 49, 487, 307, 51, 52, 420, 53, 116, 144, 107, + 54, 202, 199, 122, 196, 488, 263, 115, 334, 474, 152, 75, 59, 280, 60, 113, 489, 322, 62, 492, 368, 261, 63, 293, 274, 64, 68, 165, 133, 175, + 284, 66, 162, 77, 228, 67, 438, 70, 71, 224, 72, 244, 110, 268, 73, 245, 342, 470, 236, 160, 229, 422, 341, 233, 78, 410, 250, 338, 411, 339, + 81, 240, 143, 82, 461, 259, 84, 85, 86, 402, 217, 87, 241, 134, 392, 88, 482, 401, 387, 90, 390, 192, 499, 407, 186, 94, 103, 102, 501, 473, + 395, 426, 96, 249, 394, 97, 251, 98, 456, 108, 408, 99, 332, 100, 101, 323, 444, 161, 305, 385, 114, 366, 104, 349, 105, 431, 227, 435, 359, 139, + 306, 149, 419, 109, 373, 214, 466, 415, 440, 360, 357, 494, 379, 454, 381, 433, 117, 118, 119, 176, 120, 458, 121, 371, 290, 146, 404, 123, 377, 124, + 297, 325, 219, 201, 242, 128, 330, 331, 469, 130, 493, 498, 204, 502, 140, 135, 457, 187, 459, 136, 347, 137, 361, 448, 503, 354, 370, 285, 141, 230, + 270, 142, 344, 145, 351, 216, 393, 476, 409, 384, 166, 151, 154, 445, 252, 316, 155, 481, 264, 156, 157, 158, 159, 358, 301, 286, 292, 163, 430, 193, + 376, 167, 399, 282, 169, 170, 171, 276, 365, 172, 486, 173, 424, 174, 446, 318, 279, 391, 372, 363, 278, 180, 208, 497, 209, 215, 265, 184, 462, 362, + 329, 298, 189, 464, 191, 211, 205, 194, 239, 389, 197, 266, 302, 218, 472, 235, 412, 203, 206, 207, 396, 382, 441, 210, 421, 434, 425, 414, 416, 460, + 333, 417, 303, 500, 378, 418, 222, 383, 475, 226, 353, 386, 269, 327, 277, 455, 232, 311, 234, 238, 380, 406, 491, 248, 449, 451, 452, 254, 255, 256, + 291, 343, 374, 310, 467, 267, 443, 345, 450, 375, 272, 275, 490, 442, 336, 281, 367, 283, 288, 477, 400, 495, 296, 398, 352, 496, 485, 308, 471, 324, + 313, 320, 429, 321, 423, 337, 326, 328, 346, 340, 388, 463, 364, 453, 465, 478, 428, 427, 437, 436, 484, 439, 480, 479 +] + +private theorem meinhold504Gen1Fwd_size : meinhold504Gen1Fwd.size = 504 := by native_decide +private theorem meinhold504Gen1Rev_size : meinhold504Gen1Rev.size = 504 := by native_decide +private theorem meinhold504Gen2Fwd_size : meinhold504Gen2Fwd.size = 504 := by native_decide +private theorem meinhold504Gen2Rev_size : meinhold504Gen2Rev.size = 504 := by native_decide + +/-- G₂(2) generators acting on the 504 cosets of S₄. -/ +def meinhold504Gens : Fin 2 → Equiv.Perm (Fin 504) + | 0 => { + toFun := fun v => meinhold504Gen1Fwd[v.val]'(by have := meinhold504Gen1Fwd_size; omega) + invFun := fun v => meinhold504Gen1Rev[v.val]'(by have := meinhold504Gen1Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + | 1 => { + toFun := fun v => meinhold504Gen2Fwd[v.val]'(by have := meinhold504Gen2Fwd_size; omega) + invFun := fun v => meinhold504Gen2Rev[v.val]'(by have := meinhold504Gen2Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + +/-! ## BFS witness words -/ + +private def meinhold504WitnessWords (v : Fin 504) : List (Fin 4) := + match v with + | 0 => [] | 1 => [0, 3, 0, 0, 0, 3, 1] | 2 => [0] | 3 => [2] + | 4 => [0, 3, 0, 0, 0, 3] | 5 => [0, 3, 0, 0, 0, 3, 1, 2] | 6 => [0, 0, 0, 2, 0, 3, 0, 3] | 7 => [1, 1, 2, 1, 2, 0, 2] + | 8 => [0, 0] | 9 => [0, 2] | 10 => [2, 0, 2, 1, 3] | 11 => [0, 3, 0, 0, 0, 3, 1, 3] + | 12 => [2, 0] | 13 => [3] | 14 => [2, 1, 2, 1, 3] | 15 => [1, 3, 0, 2, 0, 2] + | 16 => [0, 3, 0, 0, 0, 3, 0] | 17 => [0, 3, 0, 0, 0] | 18 => [1, 1, 3, 0, 2] | 19 => [0, 3, 0, 3, 0, 0, 3] + | 20 => [1] | 21 => [1, 3, 0, 2, 0, 2, 0] | 22 => [1, 2, 1, 3, 1, 3, 1] | 23 => [0, 0, 0, 2, 0, 3, 0] + | 24 => [3, 0, 0, 2, 1, 2, 0] | 25 => [3, 0, 3, 1, 1, 2] | 26 => [1, 1, 3, 1, 3, 0] | 27 => [1, 1, 2, 0, 2, 1, 2] + | 28 => [1, 2, 1, 3, 1, 3] | 29 => [0, 0, 0] | 30 => [0, 0, 2] | 31 => [0, 0, 3, 0, 3] + | 32 => [1, 1, 2, 1, 2, 0] | 33 => [0, 2, 0] | 34 => [0, 3] | 35 => [3, 1, 3, 0, 2] + | 36 => [1, 2, 1, 1, 2, 0, 0] | 37 => [2, 1, 3, 1, 1] | 38 => [2, 0, 2, 1] | 39 => [3, 1, 3, 1, 2, 0] + | 40 => [1, 3, 1, 2, 1, 1, 3] | 41 => [2, 1, 2, 0, 0] | 42 => [0, 3, 1, 1, 2, 1] | 43 => [2, 0, 2] + | 44 => [0, 0, 0, 2, 0, 3] | 45 => [3, 0] | 46 => [0, 3, 0, 0, 0, 3, 1, 1] | 47 => [2, 1, 2, 1, 3, 0] + | 48 => [2, 1, 2, 1] | 49 => [3, 0, 0, 2, 1, 2] | 50 => [1, 3, 0, 2, 0, 3] | 51 => [2, 0, 3, 1, 2, 0, 3] + | 52 => [0, 0, 2, 0, 2, 0, 3] | 53 => [1, 3, 0, 0, 2, 1, 2] | 54 => [0, 3, 0, 0, 0, 3, 0, 2] | 55 => [3, 0, 0, 3] + | 56 => [1, 3, 0, 2, 0] | 57 => [0, 3, 1, 1] | 58 => [0, 3, 0, 0, 0, 2] | 59 => [0, 3, 0, 3, 0, 3, 0, 0] + | 60 => [3, 1, 2, 0, 2] | 61 => [2, 1, 2, 1, 2] | 62 => [1, 1, 3, 0, 3] | 63 => [1, 1, 2, 1, 3, 1] + | 64 => [0, 3, 0, 2, 0] | 65 => [3, 0, 3, 0, 2, 0, 3] | 66 => [0, 3, 0, 3, 0, 0] | 67 => [1, 2] + | 68 => [0, 0, 3, 1, 3, 0, 0, 2] | 69 => [0, 2, 0, 3, 1, 2, 0] | 70 => [2, 0, 3, 1, 2, 0, 3, 0] | 71 => [1, 2, 1, 2, 0, 2] + | 72 => [1, 3, 1, 1, 3, 1] | 73 => [2, 0, 2, 0, 0, 3] | 74 => [0, 3, 0, 2, 1, 3, 0] | 75 => [2, 0, 2, 1, 1, 3, 1] + | 76 => [0, 0, 0, 2, 0, 3, 0, 2] | 77 => [3, 0, 3, 0, 0, 3, 1] | 78 => [3, 0, 3, 1, 1, 2, 0] | 79 => [3, 0, 3, 1, 1, 3] + | 80 => [3, 1, 2, 0] | 81 => [1, 1, 3, 1, 3, 0, 0] | 82 => [1, 1, 3, 0, 3, 1] | 83 => [1, 2, 1, 3, 1] + | 84 => [0, 0, 0, 2, 0, 2, 1, 2] | 85 => [1, 2, 1, 2, 0, 2, 0] | 86 => [1, 1] | 87 => [0, 0, 0, 2] + | 88 => [1, 3, 1, 1, 2, 1] | 89 => [1, 2, 1, 3, 1, 2] | 90 => [0, 0, 2, 0] | 91 => [0, 0, 3] + | 92 => [1, 2, 1, 2, 0] | 93 => [0, 3, 0, 3] | 94 => [0, 0, 3, 0, 3, 0] | 95 => [0, 0, 3, 0] + | 96 => [1, 3, 0, 2, 1, 2] | 97 => [0, 0, 3, 1, 2, 1, 2] | 98 => [1, 3, 1, 2, 1, 2] | 99 => [0, 2, 0, 0] + | 100 => [3, 1, 1] | 101 => [0, 0, 3, 1, 1, 3, 1] | 102 => [0, 3, 0] | 103 => [0, 3, 0, 2, 1, 2] + | 104 => [3, 1, 3, 0, 3] | 105 => [2, 0, 2, 0, 0, 0, 2] | 106 => [0, 3, 0, 3, 0, 0, 2, 1] | 107 => [0, 3, 0, 2, 1, 1, 2] + | 108 => [2, 1, 3, 1] | 109 => [0, 3, 1, 2, 0, 3] | 110 => [3, 0, 2, 1, 3] | 111 => [1, 1, 3, 0, 3, 1, 1] + | 112 => [2, 0, 2, 1, 2] | 113 => [3, 1, 3, 1, 2, 0, 0] | 114 => [2, 0, 3, 1, 2, 1] | 115 => [3, 1, 2, 1, 3] + | 116 => [3, 0, 3, 0, 2, 0] | 117 => [3, 1, 3, 0, 0, 2] | 118 => [1, 3, 1, 2, 1, 1] | 119 => [2, 1, 3, 0, 0] + | 120 => [0, 0, 3, 1, 3, 0] | 121 => [0, 2, 0, 0, 2, 1] | 122 => [2, 1, 2, 0, 0, 2] | 123 => [0, 3, 0, 0, 3, 1, 3] + | 124 => [0, 3, 1, 1, 2] | 125 => [0, 2, 0, 3, 0, 0] | 126 => [0, 0, 3, 0, 2] | 127 => [1, 3, 0, 2, 1, 1] + | 128 => [2, 0, 2, 0] | 129 => [2, 0, 3] | 130 => [0, 0, 0, 2, 0] | 131 => [1, 3, 1, 2, 1] + | 132 => [0, 3, 1, 2, 0, 0] | 133 => [3, 0, 0] | 134 => [3, 0, 2] | 135 => [2, 0, 3, 1, 2, 0, 0] + | 136 => [2, 1, 3, 0, 2, 1] | 137 => [0, 2, 1, 3, 0, 3, 0, 3] | 138 => [3, 0, 3, 1, 1] | 139 => [2, 1, 2] + | 140 => [3, 0, 0, 2, 1, 3] | 141 => [1, 3, 1, 1, 3, 0, 0] | 142 => [2, 0, 3, 0, 2] | 143 => [2, 0, 3, 1, 2, 0] + | 144 => [0, 0, 2, 0, 2, 0] | 145 => [1, 1, 2, 0, 0, 0, 2] | 146 => [1, 3, 0, 0, 2, 1, 3] | 147 => [0, 0, 3, 1, 2, 0, 0] + | 148 => [1, 1, 3, 1, 2, 1] | 149 => [0, 3, 0, 2, 1, 1, 3] | 150 => [0, 3, 0, 0, 0, 3, 0, 3] | 151 => [0, 0, 0, 3, 1, 2] + | 152 => [2, 0, 2, 1, 1] | 153 => [3, 0, 0, 3, 0] | 154 => [3, 1, 2, 1, 1] | 155 => [1, 3, 0, 2, 0, 0] + | 156 => [0, 2, 0, 3, 1, 3] | 157 => [3, 1, 2, 1] | 158 => [0, 3, 1] | 159 => [1, 1, 2, 0, 3, 0, 3] + | 160 => [2, 0, 2, 1, 1, 2] | 161 => [0, 3, 1, 3, 1, 3, 1] | 162 => [1, 3, 0, 0, 0, 2, 0] | 163 => [0, 3, 0, 3, 1, 2] + | 164 => [3, 1, 2, 0, 3] | 165 => [1, 3, 0, 2, 1, 3, 1] | 166 => [2, 1, 2, 1, 2, 0] | 167 => [3, 0, 3, 1, 2] + | 168 => [1, 1, 3, 0] | 169 => [1, 3, 1, 2] | 170 => [2, 0, 3, 1, 1, 2] | 171 => [1, 1, 2, 1, 3] + | 172 => [1, 1, 2, 1, 3, 1, 2] | 173 => [3, 0, 2, 0, 0] | 174 => [1, 3, 0, 3] | 175 => [0, 3, 0, 2, 0, 2] + | 176 => [0, 2, 0, 0, 0, 2, 0] | 177 => [2, 0, 3, 1, 1, 2, 1] | 178 => [3, 0, 0, 2] | 179 => [0, 3, 0, 2, 0, 3] + | 180 => [0, 3, 0, 3, 0, 0, 0] | 181 => [0, 3, 0, 3, 0, 0, 2] | 182 => [1, 3, 0, 0, 0, 2, 0, 2] | 183 => [2, 1, 3, 0, 2, 0, 0] + | 184 => [1, 2, 0] | 185 => [1, 3] | 186 => [1, 3, 1, 1, 2, 1, 1] | 187 => [1, 1, 2, 0, 0, 0, 3, 0] + | 188 => [1, 3, 1, 3, 0] | 189 => [1, 3, 1, 1, 3] | 190 => [1, 3, 1, 1, 3, 1, 2] | 191 => [0, 3, 1, 3, 0, 2] + | 192 => [3, 0, 2, 1] | 193 => [1, 2, 1, 3, 1, 1] | 194 => [2, 0, 2, 0, 0] | 195 => [0, 0, 3, 1, 2, 1] + | 196 => [3, 1, 2, 1, 1, 3] | 197 => [0, 2, 0, 0, 3, 1, 3] | 198 => [0, 3, 0, 2, 1] | 199 => [2, 0, 2, 1, 1, 3] + | 200 => [0, 0, 2, 0, 3] | 201 => [1, 2, 1, 3, 1, 2, 1] | 202 => [0, 0, 0, 3, 1] | 203 => [3, 0, 3, 0, 0, 3] + | 204 => [0, 2, 1, 3, 0, 2, 1] | 205 => [3, 0, 2, 1, 1] | 206 => [0, 2, 0, 0, 0, 2] | 207 => [0, 2, 1, 3, 0, 3] + | 208 => [0, 0, 3, 0, 2, 0] | 209 => [0, 2, 0, 3, 1, 3, 1] | 210 => [1, 2, 1, 1, 2, 1, 1] | 211 => [0, 0, 3, 1, 1, 3] + | 212 => [3, 0, 2, 1, 3, 0] | 213 => [1, 1, 2, 0, 2, 1] | 214 => [1, 1, 3, 1, 2] | 215 => [1, 2, 1, 3] + | 216 => [0, 0, 0, 3, 0, 3, 1] | 217 => [1, 1, 2, 0, 0, 0, 3, 1] | 218 => [1, 1, 2] | 219 => [2, 1, 3, 0, 2, 0] + | 220 => [1, 3, 0, 3, 0, 3, 1] | 221 => [0, 0, 0, 3] | 222 => [2, 1, 2, 0] | 223 => [3, 0, 3] + | 224 => [1, 3, 1, 1, 2] | 225 => [0, 3, 1, 2, 0, 0, 3] | 226 => [0, 0, 0, 3, 0, 0, 2] | 227 => [3, 0, 3, 0, 2] + | 228 => [2, 1, 1] | 229 => [0, 0, 2, 0, 2] | 230 => [3, 0, 2, 0] | 231 => [3, 0, 2, 1, 2] + | 232 => [0, 3, 0, 3, 0] | 233 => [3, 0, 3, 0, 0, 2] | 234 => [0, 0, 3, 0, 3, 0, 0] | 235 => [1, 1, 3, 1, 1, 3] + | 236 => [0, 3, 0, 2, 1, 3] | 237 => [0, 3, 0, 2] | 238 => [0, 2, 1, 2] | 239 => [0, 3, 1, 2, 1, 3] + | 240 => [0, 0, 3, 1, 1, 2] | 241 => [2, 1, 2, 0, 3] | 242 => [1, 3, 0, 2, 1, 3] | 243 => [2, 1, 3, 1, 3] + | 244 => [0, 3, 1, 3, 0] | 245 => [0, 0, 3, 1, 2, 1, 3] | 246 => [0, 2, 0, 0, 3] | 247 => [1, 3, 1, 2, 1, 3] + | 248 => [3, 0, 2, 0, 2, 1] | 249 => [2, 1, 3, 1, 2] | 250 => [0, 2, 0, 0, 0] | 251 => [0, 2, 0, 0, 2] + | 252 => [3, 1] | 253 => [0, 2, 0, 3] | 254 => [0, 0, 2, 0, 2, 1, 1] | 255 => [0, 3, 0, 0] + | 256 => [0, 2, 1, 1, 2] | 257 => [3, 0, 3, 0, 0, 0] | 258 => [2, 0, 2, 0, 3] | 259 => [1, 2, 1, 2] + | 260 => [2, 1, 3, 1, 3, 1] | 261 => [1, 1, 2, 1, 2] | 262 => [3, 1, 3, 0] | 263 => [0, 2, 0, 3, 1, 2] + | 264 => [2, 0, 3, 0, 0, 0] | 265 => [3, 1, 2, 1, 2, 1] | 266 => [3, 0, 3, 0, 3] | 267 => [1, 2, 1, 2, 1, 2] + | 268 => [1, 2, 1, 3, 1, 1, 3] | 269 => [2, 1, 3] | 270 => [3, 0, 0, 2, 0, 3] | 271 => [0, 3, 0, 2, 1, 1] + | 272 => [0, 3, 0, 2, 1, 3, 1] | 273 => [0, 3, 1, 2, 0] | 274 => [1, 3, 0, 2] | 275 => [1, 1, 3, 1, 3] + | 276 => [0, 2, 1, 3, 0, 0, 3] | 277 => [0, 2, 1, 2, 0, 2] | 278 => [0, 0, 2, 0, 2, 1] | 279 => [0, 0, 3, 1, 3] + | 280 => [0, 3, 0, 3, 1] | 281 => [2, 0, 3, 1, 2] | 282 => [3, 1, 3, 1, 2] | 283 => [3, 1, 2, 1, 3, 0] + | 284 => [0, 0, 3, 1, 3, 1, 3, 0] | 285 => [0, 3, 0, 0, 2, 1] | 286 => [2, 0, 3, 0, 2, 0] | 287 => [1, 3, 1, 2, 1, 1, 2] + | 288 => [0, 2, 1, 3, 1] | 289 => [0, 0, 3, 1, 3, 0, 0] | 290 => [1, 1, 3, 1, 3, 1] | 291 => [0, 0, 3, 1, 3, 1, 2] + | 292 => [0, 0, 0, 3, 0, 0, 0] | 293 => [3, 0, 2, 0, 0, 3] | 294 => [1, 2, 0, 2, 0, 0] | 295 => [1, 3, 0, 0, 2, 1] + | 296 => [3, 0, 3, 0, 3, 1] | 297 => [0, 3, 0, 0, 3, 1] | 298 => [0, 3, 1, 1, 2, 0] | 299 => [0, 3, 1, 1, 3] + | 300 => [0, 3, 0, 0, 3, 1, 2] | 301 => [0, 3, 1, 3, 1, 2] | 302 => [3, 0, 2, 1, 3, 1] | 303 => [3, 0, 0, 3, 0, 0] + | 304 => [1, 3, 0, 2, 1] | 305 => [2, 0, 2, 0, 2] | 306 => [3, 0, 0, 2, 0, 2] | 307 => [2, 0, 3, 0] + | 308 => [1, 2, 1, 1] | 309 => [0, 0, 0, 2, 0, 2] | 310 => [1, 1, 2, 0, 0, 2] | 311 => [0, 0, 0, 3, 1, 3, 1] + | 312 => [0, 3, 1, 2, 0, 3, 1] | 313 => [3, 0, 0, 0] | 314 => [3, 0, 0, 2, 1] | 315 => [3, 0, 2, 0, 0, 3, 0] + | 316 => [0, 0, 2, 0, 3, 1, 2, 1] | 317 => [3, 0, 0, 3, 1, 3, 1] | 318 => [2, 1, 3, 0, 2] | 319 => [3, 1, 2, 0, 3, 0] + | 320 => [3, 0, 0, 3, 1, 2] | 321 => [0, 2, 1, 3, 0, 3, 0] | 322 => [3, 0, 3, 1] | 323 => [0, 3, 0, 0, 3] + | 324 => [0, 3, 1, 3, 1, 1, 2] | 325 => [0, 3, 1, 3, 1] | 326 => [1, 1, 2, 1, 1, 3] | 327 => [0, 3, 0, 0, 2, 1, 2] + | 328 => [2, 0, 3, 0, 3, 0] | 329 => [3, 0, 2, 0, 2] | 330 => [3, 0, 0, 2, 0] | 331 => [2, 0, 3, 0, 3] + | 332 => [3, 1, 3] | 333 => [1, 1, 2, 0, 0, 0, 3] | 334 => [0, 3, 1, 3] | 335 => [0, 0, 0, 2, 0, 2, 1] + | 336 => [0, 2, 1, 1, 3, 0, 3] | 337 => [2, 0, 3, 0, 0, 2] | 338 => [0, 2, 1, 3, 0, 2] | 339 => [3, 1, 3, 1, 2, 1, 1] + | 340 => [0, 0, 0, 3, 1, 2, 0] | 341 => [0, 0, 0, 3, 1, 3] | 342 => [3, 1, 2, 1, 1, 2] | 343 => [0, 2, 1, 3, 1, 1, 2] + | 344 => [3, 1, 2] | 345 => [1, 3, 0, 2, 0, 0, 0] | 346 => [0, 0, 3, 1, 2, 0] | 347 => [3, 0, 0, 3, 1] + | 348 => [2, 0, 2, 0, 0, 0] | 349 => [0, 2, 0, 3, 1] | 350 => [3, 1, 2, 1, 2] | 351 => [0, 3, 1, 2] + | 352 => [1, 1, 2, 0, 3, 0] | 353 => [1, 3, 0, 0, 0, 2] | 354 => [0, 3, 1, 3, 1, 3] | 355 => [3, 1, 3, 0, 0] + | 356 => [0, 2, 0, 0, 2, 1, 3] | 357 => [1, 2, 0, 2, 0] | 358 => [1, 3, 0, 0, 0] | 359 => [0, 3, 0, 3, 0, 3, 0] + | 360 => [0, 0, 3, 1, 2] | 361 => [3, 0, 3, 1, 3] | 362 => [1, 1, 3, 0, 0, 0] | 363 => [1, 1, 3, 0, 0] + | 364 => [1, 3, 1, 3] | 365 => [2, 0, 3, 1, 1, 3] | 366 => [1, 1, 2, 1] | 367 => [0, 2, 1, 3, 0, 0] + | 368 => [2, 0, 3, 1, 1] | 369 => [3, 1, 3, 0, 0, 0] | 370 => [1, 1, 2, 1, 1, 2] | 371 => [0, 0, 0, 3, 1, 1] + | 372 => [1, 3, 0, 3, 0] | 373 => [1, 3, 0] | 374 => [0, 2, 0, 3, 0, 2] | 375 => [2, 1, 3, 0, 3] + | 376 => [0, 0, 3, 1] | 377 => [1, 2, 1, 2, 1, 1] | 378 => [1, 3, 0, 3, 0, 2] | 379 => [3, 1, 3, 1] + | 380 => [0, 3, 0, 3, 1, 1] | 381 => [0, 3, 0, 3, 0, 0, 0, 2] | 382 => [1, 3, 0, 0, 2, 0] | 383 => [0, 2, 0, 0, 0, 3, 0] + | 384 => [0, 2, 0, 0, 0, 3, 1, 1] | 385 => [1, 2, 1] | 386 => [0, 2, 0, 0, 0, 3, 1] | 387 => [1, 2, 0, 2] + | 388 => [3, 0, 0, 0, 2, 1, 2] | 389 => [2, 0, 2, 0, 2, 0] | 390 => [3, 0, 2, 0, 3] | 391 => [1, 3, 1, 1, 3, 0] + | 392 => [1, 3, 1, 1] | 393 => [0, 3, 1, 1, 3, 1] | 394 => [1, 2, 0, 2, 1] | 395 => [0, 0, 3, 1, 1] + | 396 => [3, 0, 2, 1, 1, 2] | 397 => [2, 0, 2, 0, 0, 2] | 398 => [0, 3, 1, 2, 1] | 399 => [1, 1, 3, 0, 0, 0, 3] + | 400 => [0, 2, 0, 0, 3, 1] | 401 => [3, 0, 3, 0] | 402 => [3, 0, 3, 0, 2, 1] | 403 => [1, 1, 3] + | 404 => [2, 1, 2, 0, 2, 0, 2] | 405 => [1, 1, 3, 1, 1] | 406 => [0, 2, 1, 1, 3, 1, 3] | 407 => [3, 0, 3, 0, 0] + | 408 => [0, 2, 0, 0, 0, 3] | 409 => [0, 2, 1, 3, 0] | 410 => [3, 0, 2, 1, 1, 3] | 411 => [0, 0, 3, 0, 2, 0, 3] + | 412 => [1, 2, 1, 1, 2, 1] | 413 => [0, 3, 1, 3, 1, 1, 2, 0] | 414 => [1, 1, 2, 0, 2] | 415 => [0, 2, 1, 2, 0] + | 416 => [0, 0, 0, 3, 0, 2] | 417 => [1, 1, 2, 0, 3] | 418 => [0, 0, 0, 3, 0, 3] | 419 => [3, 0, 0, 2, 0, 0, 2] + | 420 => [1, 1, 2, 0, 0, 0] | 421 => [1, 1, 2, 0] | 422 => [1, 3, 0, 3, 0, 3, 0] | 423 => [0, 0, 2, 0, 3, 1, 2] + | 424 => [1, 3, 0, 3, 0, 3] | 425 => [0, 0, 0, 3, 0] | 426 => [2, 1, 2, 0, 2] | 427 => [1, 1, 3, 1, 1, 3, 0] + | 428 => [1, 3, 1, 1, 2, 0] | 429 => [0, 0, 0, 3, 0, 0, 3] | 430 => [0, 2, 1, 1, 2, 0] | 431 => [3, 1, 3, 1, 2, 1] + | 432 => [2, 1] | 433 => [3, 0, 0, 0, 3, 1] | 434 => [0, 2, 1, 2, 0, 3] | 435 => [1, 2, 1, 2, 1] + | 436 => [0, 3, 0, 3, 0, 2] | 437 => [0, 2, 0, 0, 3, 0, 0] | 438 => [0, 0, 0, 2, 0, 2, 0] | 439 => [0, 2, 1, 3] + | 440 => [0, 0, 2, 0, 2, 1, 3] | 441 => [0, 2, 1, 1, 3, 1] | 442 => [0, 2, 0, 0, 3, 0] | 443 => [3, 0, 2, 0, 2, 1, 2] + | 444 => [0, 2, 1, 1] | 445 => [0, 2, 1, 3, 1, 1] | 446 => [0, 2, 0, 3, 0] | 447 => [0, 0, 2, 0, 2, 1, 1, 2] + | 448 => [0, 3, 0, 0, 2] | 449 => [0, 2, 1, 1, 3] | 450 => [0, 0, 3, 1, 3, 1, 3] | 451 => [0, 3, 0, 0, 2, 0] + | 452 => [0, 2, 0, 3, 0, 3] | 453 => [1, 1, 2, 0, 0, 3] | 454 => [0, 3, 0, 0, 3, 0, 0] | 455 => [3, 1, 3, 1, 1] + | 456 => [0, 0, 3, 1, 3, 1, 1] | 457 => [0, 3, 1, 1, 2, 1, 1] | 458 => [0, 0, 3, 1, 3, 1] | 459 => [2, 1, 3, 0] + | 460 => [3, 0, 0, 2, 0, 0] | 461 => [1, 1, 3, 1] | 462 => [3, 0, 0, 0, 2, 1] | 463 => [1, 2, 1, 1, 2, 0] + | 464 => [0, 2, 1, 1, 3, 0] | 465 => [2, 0, 3, 1, 3] | 466 => [0, 2, 1, 3, 0, 0, 2] | 467 => [3, 1, 2, 1, 3, 0, 2] + | 468 => [0, 2, 1, 3, 1, 2] | 469 => [1, 2, 1, 1, 3] | 470 => [0, 3, 0, 0, 3, 0] | 471 => [1, 3, 0, 0, 2] + | 472 => [2, 1, 2, 0, 2, 0] | 473 => [1, 3, 1, 3, 1] | 474 => [1, 1, 2, 0, 3, 0, 2] | 475 => [0, 2, 0, 3, 1, 1] + | 476 => [2, 0, 3, 0, 0] | 477 => [1, 2, 1, 1, 2] | 478 => [1, 3, 0, 0, 3] | 479 => [0, 3, 1, 3, 1, 1, 3] + | 480 => [3, 0, 0, 0, 2] | 481 => [3, 0, 0, 3, 1, 3] | 482 => [0, 0, 0, 3, 0, 0] | 483 => [0, 2, 0, 0, 0, 3, 0, 0] + | 484 => [1, 3, 1, 3, 1, 1] | 485 => [2, 0, 3, 0, 0, 3] | 486 => [1, 1, 2, 1, 1] | 487 => [2, 0, 3, 0, 3, 0, 2] + | 488 => [3, 0, 0, 0, 3, 0] | 489 => [1, 1, 2, 0, 2, 1, 1] | 490 => [0, 3, 0, 3, 0, 3, 1] | 491 => [0, 2, 0, 0, 3, 0, 3] + | 492 => [1, 3, 1] | 493 => [1, 1, 2, 0, 0] | 494 => [2, 0, 3, 1] | 495 => [1, 3, 0, 0] + | 496 => [0, 2, 0, 3, 1, 1, 3] | 497 => [1, 3, 0, 0, 2, 0, 0] | 498 => [0, 0, 0, 3, 1, 3, 1, 3] | 499 => [0, 3, 0, 3, 0, 3] + | 500 => [0, 0, 2, 0, 3, 1] | 501 => [0, 2, 1] | 502 => [3, 0, 0, 0, 3] | 503 => [0, 3, 1, 3, 1, 1] + +theorem meinhold504Witness_correct : + ∀ v : Fin 504, applyWord' meinhold504Gens (meinhold504WitnessWords v) 0 = v := by + native_decide + +/-! ## Graph definition via connection set -/ + +private def meinhold504AdjBool (u v : Fin 504) : Bool := + u ≠ v && + (let w := (applyWord' meinhold504Gens (meinhold504WitnessWords u)).symm v + w == (5 : Fin 504) || w == (18 : Fin 504) || w == (43 : Fin 504) || w == (56 : Fin 504) || w == (59 : Fin 504) || w == (126 : Fin 504) || w == (138 : Fin 504) || w == (143 : Fin 504) || w == (152 : Fin 504) || w == (154 : Fin 504) || w == (233 : Fin 504) || w == (242 : Fin 504) || w == (260 : Fin 504) || w == (263 : Fin 504) || w == (267 : Fin 504) || w == (279 : Fin 504) || w == (296 : Fin 504) || w == (302 : Fin 504) || w == (320 : Fin 504) || w == (332 : Fin 504) || w == (365 : Fin 504) || w == (396 : Fin 504) || w == (437 : Fin 504) || w == (499 : Fin 504)) + +/-- The Meinhold-504 graph: 504 vertices, 24-regular, girth 4. -/ +def meinhold504Graph : SimpleGraph (Fin 504) where + Adj u v := meinhold504AdjBool u v + symm u v := by simp only [meinhold504AdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [meinhold504AdjBool]; revert u; native_decide⟩ + +instance meinhold504DecAdj : DecidableRel meinhold504Graph.Adj := + fun u v => inferInstanceAs (Decidable (meinhold504AdjBool u v)) + +theorem meinhold504Gen1_adj : ∀ u v : Fin 504, + meinhold504Graph.Adj u v ↔ meinhold504Graph.Adj (meinhold504Gens 0 u) (meinhold504Gens 0 v) := by + native_decide + +theorem meinhold504Gen2_adj : ∀ u v : Fin 504, + meinhold504Graph.Adj u v ↔ meinhold504Graph.Adj (meinhold504Gens 1 u) (meinhold504Gens 1 v) := by + native_decide + +/-! ## Sabidussi coset graph proof -/ + +private def m504Group := Subgroup.closure (Set.range meinhold504Gens) + +private noncomputable instance : MulAction m504Group (Fin 504) := + MulAction.compHom _ m504Group.subtype + +private noncomputable instance : GraphAction m504Group (Fin 504) meinhold504Graph where + adj_smul g u v h := closureGraphAction meinhold504Gens + (fun i => by match i with | 0 => exact meinhold504Gen1_adj | 1 => exact meinhold504Gen2_adj) + g.1 g.2 u v h + +set_option maxRecDepth 2048 in +private noncomputable instance : MulAction.IsPretransitive m504Group (Fin 504) where + exists_smul_eq x y := + ⟨⟨_, m504Group.mul_mem (applyWord'_mem meinhold504Gens _) + (m504Group.inv_mem (applyWord'_mem meinhold504Gens _))⟩, by + change ((applyWord' meinhold504Gens (meinhold504WitnessWords x)).symm.trans + (applyWord' meinhold504Gens (meinhold504WitnessWords y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' meinhold504Gens (meinhold504WitnessWords x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (meinhold504Witness_correct x).symm] + exact meinhold504Witness_correct y⟩ + +/-- **Meinhold-504 is a Sabidussi coset graph.** + +G₂(2) acts vertex-transitively on the 504 cosets of S₄. +`Meinhold-504 ≃g Sab(G₂(2), S₄, D)` with `504 = 12096/24` vertices. -/ +noncomputable def meinhold504SabidussiIso : + meinhold504Graph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer m504Group (0 : Fin 504)) + (connectionSet m504Group meinhold504Graph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +/-! ## Properties -/ + +/-- Meinhold-504 is connected. -/ +theorem meinhold504_connected : meinhold504Graph.Connected := by native_decide + +/-- Meinhold-504 has no triangles. -/ +theorem meinhold504_triangleFree : + ∀ u v w : Fin 504, meinhold504Graph.Adj u v → meinhold504Graph.Adj v w → + meinhold504Graph.Adj u w → False := by + native_decide + +/-- Meinhold-504 has a 4-cycle (girth = 4). -/ +theorem meinhold504_has_4cycle : + ∃ a b c d : Fin 504, + a ≠ c ∧ b ≠ d ∧ + meinhold504Graph.Adj a b ∧ meinhold504Graph.Adj b c ∧ + meinhold504Graph.Adj c d ∧ meinhold504Graph.Adj d a := by + exact ⟨0, 5, 264, 138, by native_decide, by native_decide, + by native_decide, by native_decide, by native_decide, by native_decide⟩ diff --git a/Archive/Meinhold576.lean b/Archive/Meinhold576.lean new file mode 100644 index 00000000000000..60ad42b02168bd --- /dev/null +++ b/Archive/Meinhold576.lean @@ -0,0 +1,367 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.Connectivity.Finite +import Mathlib.Combinatorics.SimpleGraph.Finite +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Meinhold-576: Sabidussi coset graph of G₂(2) + +The **Meinhold-576** graph (576 vertices, 7-regular, girth 6) is the coset graph +`Sab(G₂(2), C₇:C₃)` with `576 = 12096/21` vertices. + +Named after Nick Meinhold, co-founder of Imagineering Melbourne. + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-! ## Generators of G₂(2) on 576 cosets -/ + +private def meinhold576Gen1Fwd : Array (Fin 576) := #[ + 2, 4, 7, 11, 15, 18, 20, 24, 28, 32, 35, 38, 40, 43, 44, 49, 53, 0, 58, 60, 64, 67, 68, 13, 73, 77, 81, 84, 86, 89, + 90, 92, 96, 100, 102, 106, 110, 113, 117, 120, 124, 1, 123, 25, 130, 132, 135, 136, 5, 138, 142, 145, 98, 27, 151, 154, 71, 72, 63, 160, + 19, 164, 12, 167, 47, 165, 137, 80, 87, 181, 184, 129, 62, 17, 188, 122, 192, 177, 195, 196, 147, 199, 202, 174, 206, 209, 213, 14, 216, 79, + 220, 223, 227, 203, 231, 234, 140, 237, 26, 240, 241, 244, 246, 248, 250, 146, 254, 251, 9, 259, 262, 266, 268, 272, 275, 276, 104, 280, 218, 284, + 166, 287, 289, 191, 57, 271, 39, 239, 171, 42, 22, 300, 45, 161, 302, 305, 288, 308, 41, 208, 313, 315, 317, 318, 320, 323, 325, 328, 103, 332, + 283, 334, 337, 340, 341, 215, 344, 311, 55, 16, 330, 93, 65, 265, 354, 76, 153, 48, 362, 297, 364, 365, 59, 31, 336, 372, 162, 23, 366, 152, + 379, 382, 384, 387, 324, 391, 392, 395, 292, 400, 402, 56, 176, 169, 404, 319, 335, 249, 88, 410, 411, 412, 415, 418, 421, 247, 159, 423, 381, 428, + 430, 303, 204, 433, 225, 258, 427, 245, 436, 170, 438, 3, 406, 179, 441, 439, 131, 445, 296, 30, 338, 125, 452, 207, 141, 457, 459, 50, 260, 116, + 444, 46, 228, 350, 470, 471, 314, 158, 473, 34, 456, 477, 461, 36, 440, 480, 450, 449, 353, 235, 312, 479, 168, 476, 349, 488, 490, 212, 233, 178, + 422, 494, 281, 187, 329, 274, 413, 232, 299, 270, 221, 498, 183, 291, 500, 99, 375, 121, 6, 193, 419, 505, 69, 489, 506, 424, 61, 75, 134, 458, + 115, 510, 512, 514, 516, 33, 520, 210, 524, 114, 511, 525, 460, 108, 197, 496, 94, 388, 150, 217, 360, 503, 478, 513, 493, 437, 51, 403, 484, 486, + 535, 394, 238, 536, 378, 346, 357, 377, 401, 368, 126, 205, 467, 448, 396, 542, 29, 222, 522, 543, 466, 185, 541, 370, 242, 277, 310, 290, 408, 224, + 420, 453, 253, 230, 252, 426, 264, 186, 66, 530, 549, 464, 148, 551, 546, 552, 163, 91, 553, 538, 182, 119, 74, 263, 356, 454, 451, 278, 97, 37, + 172, 111, 416, 133, 527, 515, 517, 144, 502, 509, 545, 261, 531, 563, 564, 54, 180, 331, 565, 326, 52, 355, 497, 226, 219, 361, 429, 273, 393, 83, + 504, 398, 558, 491, 432, 371, 255, 539, 526, 468, 352, 521, 425, 537, 483, 373, 385, 462, 566, 201, 442, 523, 10, 107, 374, 472, 555, 348, 570, 109, + 571, 279, 200, 492, 562, 369, 127, 257, 282, 443, 149, 414, 518, 465, 295, 399, 540, 487, 367, 507, 157, 78, 173, 175, 547, 572, 447, 236, 298, 363, + 128, 194, 557, 569, 21, 306, 309, 343, 528, 243, 351, 112, 82, 499, 316, 345, 519, 214, 389, 567, 139, 574, 267, 359, 397, 143, 481, 559, 434, 529, + 544, 380, 322, 409, 327, 561, 85, 475, 105, 95, 474, 431, 383, 321, 339, 101, 304, 501, 560, 554, 358, 256, 286, 198, 575, 390, 532, 8, 347, 533, + 293, 556, 469, 269, 482, 435, 285, 548, 485, 155, 301, 189, 333, 405, 463, 446, 307, 550, 386, 495, 376, 417, 118, 211, 294, 455, 229, 70, 573, 568, + 342, 190, 156, 508, 407, 534 +] +private def meinhold576Gen1Rev : Array (Fin 576) := #[ + 17, 41, 0, 221, 1, 48, 288, 2, 537, 108, 442, 3, 62, 23, 87, 4, 159, 73, 5, 60, 6, 484, 130, 177, 7, 43, 98, 53, 8, 346, + 229, 173, 9, 305, 249, 10, 253, 389, 11, 126, 12, 138, 129, 13, 14, 132, 241, 64, 167, 15, 237, 326, 410, 16, 405, 158, 191, 124, 18, 172, + 19, 296, 72, 58, 20, 162, 368, 21, 22, 292, 567, 56, 57, 24, 382, 297, 165, 25, 471, 89, 67, 26, 492, 419, 27, 516, 28, 68, 198, 29, + 30, 377, 31, 161, 316, 519, 32, 388, 52, 285, 33, 525, 34, 148, 116, 518, 35, 443, 313, 449, 36, 391, 491, 37, 309, 300, 239, 38, 562, 381, + 39, 287, 75, 42, 40, 231, 340, 456, 480, 71, 44, 226, 45, 393, 298, 46, 47, 66, 49, 500, 96, 234, 50, 505, 397, 51, 105, 80, 372, 460, + 318, 54, 179, 166, 55, 549, 572, 470, 247, 206, 59, 133, 176, 376, 61, 65, 120, 63, 262, 193, 219, 128, 390, 472, 83, 473, 192, 77, 269, 223, + 406, 69, 380, 282, 70, 351, 367, 273, 74, 551, 571, 123, 76, 289, 481, 78, 79, 314, 533, 81, 452, 439, 82, 93, 212, 341, 84, 233, 139, 85, + 307, 563, 267, 86, 497, 155, 88, 319, 118, 414, 90, 280, 347, 91, 359, 214, 413, 92, 242, 566, 363, 94, 277, 268, 95, 259, 477, 97, 332, 127, + 99, 100, 354, 489, 101, 217, 102, 205, 103, 197, 104, 107, 364, 362, 106, 426, 531, 457, 215, 109, 238, 401, 110, 383, 366, 163, 111, 502, 112, 543, + 279, 125, 113, 417, 275, 114, 115, 355, 387, 451, 117, 272, 458, 150, 119, 546, 532, 121, 136, 122, 357, 283, 188, 540, 564, 464, 228, 169, 478, 278, + 131, 550, 134, 211, 526, 135, 485, 556, 137, 486, 356, 157, 260, 140, 246, 141, 494, 142, 143, 195, 144, 523, 512, 145, 184, 146, 409, 514, 147, 274, + 160, 407, 149, 552, 151, 196, 174, 152, 230, 524, 153, 154, 570, 487, 156, 495, 335, 538, 447, 264, 243, 490, 430, 258, 164, 411, 384, 336, 530, 503, + 320, 415, 168, 479, 170, 171, 178, 468, 339, 455, 353, 425, 175, 435, 444, 286, 560, 337, 334, 180, 511, 208, 181, 522, 182, 436, 558, 183, 317, 498, + 535, 185, 186, 418, 331, 187, 344, 504, 421, 465, 189, 338, 190, 327, 194, 553, 222, 574, 358, 513, 199, 200, 201, 276, 461, 202, 392, 561, 203, 290, + 360, 204, 270, 207, 295, 432, 365, 216, 209, 416, 210, 521, 424, 213, 508, 545, 218, 325, 220, 225, 254, 224, 440, 459, 240, 227, 555, 476, 343, 257, + 256, 386, 232, 361, 385, 565, 250, 235, 299, 236, 312, 252, 437, 554, 371, 463, 350, 342, 429, 542, 244, 245, 445, 248, 520, 517, 263, 251, 322, 261, + 255, 506, 544, 434, 328, 548, 329, 467, 265, 293, 266, 423, 453, 324, 271, 559, 315, 412, 281, 493, 284, 527, 398, 321, 420, 291, 294, 469, 573, 399, + 301, 310, 302, 323, 303, 395, 304, 396, 462, 496, 306, 431, 348, 441, 308, 311, 428, 394, 488, 509, 369, 402, 536, 539, 575, 330, 333, 433, 379, 427, + 466, 352, 345, 349, 510, 400, 374, 474, 547, 370, 557, 373, 375, 378, 529, 446, 541, 482, 422, 507, 528, 515, 454, 403, 404, 408, 438, 499, 569, 483, + 448, 450, 475, 568, 501, 534 +] +private def meinhold576Gen2Fwd : Array (Fin 576) := #[ + 3, 5, 8, 12, 16, 10, 21, 25, 29, 33, 1, 39, 0, 44, 46, 50, 54, 55, 59, 61, 65, 27, 69, 70, 74, 78, 82, 6, 87, 2, + 91, 93, 97, 101, 103, 107, 111, 114, 118, 121, 125, 126, 127, 128, 131, 133, 52, 137, 64, 139, 130, 146, 14, 149, 4, 155, 156, 157, 40, 161, + 163, 153, 166, 168, 141, 170, 173, 60, 178, 182, 76, 185, 186, 187, 189, 190, 23, 42, 7, 197, 89, 37, 119, 203, 207, 210, 214, 215, 217, 201, + 221, 224, 228, 99, 232, 235, 212, 238, 239, 31, 242, 9, 95, 222, 148, 140, 255, 257, 258, 154, 263, 267, 269, 273, 81, 277, 259, 281, 282, 26, + 286, 11, 85, 75, 290, 58, 293, 77, 296, 298, 15, 13, 301, 292, 227, 306, 307, 180, 309, 311, 256, 48, 279, 319, 151, 324, 158, 329, 331, 333, + 72, 195, 338, 19, 265, 17, 295, 159, 51, 57, 348, 18, 175, 67, 355, 356, 359, 360, 169, 63, 20, 366, 367, 287, 370, 351, 373, 374, 377, 272, + 47, 383, 22, 174, 390, 310, 150, 396, 399, 24, 123, 403, 303, 147, 339, 144, 406, 407, 291, 326, 362, 80, 416, 280, 113, 421, 422, 424, 425, 179, + 122, 431, 371, 434, 368, 28, 129, 244, 305, 260, 171, 439, 34, 440, 30, 230, 444, 446, 397, 449, 450, 196, 453, 411, 455, 102, 172, 382, 32, 463, + 337, 466, 317, 468, 88, 330, 116, 472, 474, 475, 476, 478, 270, 240, 353, 464, 105, 35, 345, 246, 423, 484, 365, 432, 176, 109, 194, 36, 419, 430, + 481, 420, 209, 204, 496, 251, 341, 492, 181, 459, 83, 294, 38, 499, 349, 346, 313, 66, 501, 243, 502, 506, 45, 41, 117, 56, 43, 321, 216, 461, + 378, 327, 206, 515, 517, 441, 521, 523, 417, 394, 71, 49, 340, 120, 526, 160, 284, 100, 380, 467, 527, 509, 528, 213, 532, 350, 458, 132, 534, 193, + 409, 104, 336, 53, 460, 385, 511, 253, 538, 266, 408, 429, 540, 387, 491, 108, 442, 437, 315, 316, 533, 162, 363, 379, 248, 372, 358, 547, 165, 62, + 510, 205, 483, 512, 328, 530, 220, 236, 86, 386, 183, 96, 164, 264, 376, 404, 177, 68, 427, 254, 443, 445, 555, 278, 558, 489, 486, 470, 498, 473, + 529, 522, 490, 452, 138, 554, 73, 92, 234, 454, 413, 388, 562, 433, 556, 451, 231, 79, 312, 245, 493, 567, 395, 507, 524, 543, 565, 566, 428, 545, + 495, 361, 302, 219, 84, 462, 548, 300, 520, 276, 112, 571, 110, 191, 323, 347, 447, 435, 572, 90, 469, 218, 285, 318, 448, 557, 134, 537, 226, 471, + 225, 514, 516, 94, 188, 398, 480, 500, 199, 142, 551, 518, 208, 98, 106, 415, 569, 143, 289, 223, 343, 229, 488, 505, 354, 553, 561, 574, 275, 391, + 552, 252, 414, 200, 487, 560, 369, 261, 247, 335, 568, 546, 115, 541, 342, 271, 536, 570, 401, 504, 550, 513, 124, 497, 283, 389, 198, 400, 402, 297, + 167, 332, 352, 288, 405, 192, 393, 519, 299, 304, 418, 135, 479, 136, 482, 438, 539, 573, 531, 184, 262, 322, 145, 325, 364, 485, 274, 436, 152, 314, + 494, 410, 564, 465, 426, 268, 344, 575, 544, 477, 457, 334, 456, 249, 412, 237, 375, 381, 559, 384, 535, 250, 508, 542, 563, 202, 308, 233, 392, 241, + 503, 211, 525, 320, 549, 357 +] +private def meinhold576Gen2Rev : Array (Fin 576) := #[ + 12, 10, 29, 0, 54, 1, 27, 78, 2, 101, 5, 121, 3, 131, 52, 130, 4, 155, 161, 153, 170, 6, 182, 76, 189, 7, 119, 21, 215, 8, + 224, 99, 238, 9, 222, 257, 267, 81, 282, 11, 58, 293, 77, 296, 13, 292, 14, 180, 141, 311, 15, 158, 46, 333, 16, 17, 295, 159, 125, 18, + 67, 19, 359, 169, 48, 20, 287, 163, 377, 22, 23, 310, 150, 396, 24, 123, 70, 127, 25, 407, 201, 114, 26, 280, 424, 122, 368, 28, 244, 80, + 439, 30, 397, 31, 453, 102, 371, 32, 463, 93, 317, 33, 235, 34, 331, 256, 464, 35, 345, 265, 432, 36, 430, 204, 37, 492, 246, 294, 38, 82, + 313, 39, 210, 190, 502, 40, 41, 42, 43, 216, 50, 44, 327, 45, 446, 521, 523, 47, 394, 49, 105, 64, 459, 467, 195, 532, 51, 193, 104, 53, + 186, 144, 538, 61, 109, 55, 56, 57, 146, 157, 315, 59, 351, 60, 372, 358, 62, 510, 63, 168, 65, 220, 236, 66, 183, 162, 264, 376, 68, 209, + 137, 278, 69, 370, 529, 71, 72, 73, 454, 74, 75, 433, 515, 329, 266, 151, 231, 79, 506, 458, 483, 89, 565, 83, 273, 361, 302, 84, 462, 272, + 85, 571, 96, 323, 86, 87, 298, 88, 441, 423, 366, 90, 103, 469, 91, 450, 448, 134, 92, 471, 225, 406, 94, 567, 398, 95, 367, 555, 97, 98, + 253, 569, 100, 289, 217, 409, 259, 488, 354, 553, 561, 275, 481, 337, 379, 106, 140, 107, 108, 116, 219, 487, 530, 110, 373, 154, 339, 111, 545, 112, + 252, 495, 179, 113, 536, 478, 429, 115, 383, 142, 203, 117, 118, 504, 316, 442, 120, 173, 513, 468, 124, 198, 133, 126, 281, 156, 128, 509, 129, 518, + 427, 132, 422, 192, 519, 218, 135, 136, 566, 138, 185, 139, 408, 286, 539, 348, 349, 242, 443, 143, 573, 297, 531, 434, 145, 533, 199, 301, 364, 147, + 245, 148, 511, 149, 551, 489, 332, 240, 152, 194, 312, 276, 494, 470, 546, 258, 285, 435, 160, 284, 325, 175, 512, 254, 474, 164, 165, 575, 356, 166, + 167, 421, 200, 352, 534, 262, 171, 172, 214, 486, 174, 212, 355, 176, 177, 556, 374, 178, 300, 353, 318, 557, 237, 181, 559, 335, 369, 343, 401, 505, + 184, 479, 568, 516, 309, 412, 187, 228, 455, 188, 507, 498, 508, 191, 375, 514, 196, 197, 340, 330, 541, 233, 554, 400, 482, 465, 202, 308, 520, 268, + 271, 205, 206, 260, 207, 208, 544, 378, 418, 341, 269, 211, 263, 403, 213, 437, 537, 347, 525, 221, 223, 305, 346, 380, 226, 381, 227, 436, 444, 229, + 230, 405, 393, 232, 399, 234, 552, 550, 326, 279, 334, 299, 425, 239, 255, 543, 241, 319, 243, 440, 387, 449, 247, 389, 248, 249, 250, 549, 251, 522, + 456, 270, 524, 362, 261, 535, 386, 484, 472, 385, 392, 344, 277, 410, 540, 420, 274, 503, 388, 283, 457, 288, 290, 570, 499, 473, 291, 413, 562, 321, + 360, 336, 363, 501, 451, 303, 452, 304, 461, 517, 428, 306, 391, 307, 414, 572, 314, 320, 322, 390, 365, 528, 324, 350, 328, 560, 496, 447, 338, 526, + 342, 493, 563, 415, 548, 419, 491, 357, 426, 574, 500, 460, 480, 475, 395, 382, 404, 445, 384, 558, 485, 476, 402, 564, 542, 416, 417, 411, 490, 466, + 497, 431, 438, 527, 477, 547 +] + +private theorem meinhold576Gen1Fwd_size : meinhold576Gen1Fwd.size = 576 := by native_decide +private theorem meinhold576Gen1Rev_size : meinhold576Gen1Rev.size = 576 := by native_decide +private theorem meinhold576Gen2Fwd_size : meinhold576Gen2Fwd.size = 576 := by native_decide +private theorem meinhold576Gen2Rev_size : meinhold576Gen2Rev.size = 576 := by native_decide + +/-- G₂(2) generators acting on the 576 cosets of C₇:C₃ (orders 6 and 3). -/ +def meinhold576Gens : Fin 2 → Equiv.Perm (Fin 576) + | 0 => { + toFun := fun v => meinhold576Gen1Fwd[v.val]'(by have := meinhold576Gen1Fwd_size; omega) + invFun := fun v => meinhold576Gen1Rev[v.val]'(by have := meinhold576Gen1Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + | 1 => { + toFun := fun v => meinhold576Gen2Fwd[v.val]'(by have := meinhold576Gen2Fwd_size; omega) + invFun := fun v => meinhold576Gen2Rev[v.val]'(by have := meinhold576Gen2Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + +/-! ## BFS witness words -/ + +private def meinhold576WitnessWords (v : Fin 576) : List (Fin 4) := + match v with + | 0 => [] | 1 => [0, 3, 1, 2, 0, 2] | 2 => [0] | 3 => [2] + | 4 => [0, 0, 3, 0, 3, 1, 2] | 5 => [3, 0, 3, 1, 1] | 6 => [0, 3, 0, 3, 1, 1, 3] | 7 => [0, 0] + | 8 => [0, 2] | 9 => [1, 3, 0, 0, 3, 0] | 10 => [0, 3, 1, 2, 0] | 11 => [2, 0] + | 12 => [3] | 13 => [0, 0, 2, 1, 1] | 14 => [0, 2, 0, 2, 0] | 15 => [0, 0, 0, 2, 1, 3, 0, 3] + | 16 => [3, 0, 0, 0, 3, 0] | 17 => [1] | 18 => [3, 0, 3, 1] | 19 => [3, 1, 2, 0, 2] + | 20 => [0, 3, 0, 3, 1, 1, 3, 0] | 21 => [0, 3, 0, 3, 1, 1] | 22 => [0, 2, 0, 2, 1, 1] | 23 => [0, 0, 2, 0, 0, 0] + | 24 => [0, 0, 0] | 25 => [0, 0, 2] | 26 => [0, 0, 2, 0, 3, 0, 3, 0] | 27 => [0, 3, 0, 3, 1, 1, 2] + | 28 => [0, 2, 0] | 29 => [0, 3] | 30 => [2, 1, 3, 1] | 31 => [0, 3, 1, 3, 0, 2] + | 32 => [1, 3, 0, 0, 3, 0, 0] | 33 => [0, 2, 1, 2, 1, 2, 0] | 34 => [0, 3, 0, 0, 2, 0, 0] | 35 => [0, 3, 1, 2, 0, 0] + | 36 => [3, 0, 0, 3, 0, 2] | 37 => [1, 1, 2, 1, 3, 1] | 38 => [2, 0, 0] | 39 => [2, 0, 2] + | 40 => [3, 0] | 41 => [2, 0, 2, 1, 3] | 42 => [0, 0, 2, 0, 2] | 43 => [0, 0, 2, 1] + | 44 => [0, 0, 2, 1, 1, 2] | 45 => [0, 0, 0, 2, 0, 0, 2] | 46 => [0, 2, 0, 2, 0, 2] | 47 => [2, 0, 3, 0, 2, 0, 3] + | 48 => [3, 0, 3, 0, 0, 0] | 49 => [2, 0, 2, 1, 3, 1, 1] | 50 => [0, 0, 0, 2, 1, 3, 0] | 51 => [1, 2, 1, 2] + | 52 => [0, 2, 0, 2, 0, 3] | 53 => [3, 0, 0, 0, 3, 0, 0] | 54 => [0, 0, 3, 0, 3, 1] | 55 => [1, 2] + | 56 => [0, 2, 1, 1, 2, 0] | 57 => [3, 0, 0, 0] | 58 => [3, 0, 3] | 59 => [3, 0, 3, 1, 2] + | 60 => [0, 3, 0, 3, 1, 2] | 61 => [3, 1, 2, 0, 3] | 62 => [3, 1] | 63 => [3, 0, 3, 0] + | 64 => [3, 0, 3, 0, 0, 0, 2] | 65 => [0, 0, 0, 3, 1, 1, 3, 0, 0] | 66 => [2, 0, 3, 0, 2] | 67 => [0, 3, 0, 3, 1] + | 68 => [0, 2, 0, 2, 1] | 69 => [0, 0, 0, 2, 0, 0, 0] | 70 => [0, 0, 2, 0, 0, 0, 2] | 71 => [0, 0, 2, 0, 2, 1, 1] + | 72 => [3, 1, 1] | 73 => [1, 1] | 74 => [0, 0, 0, 2] | 75 => [0, 0, 2, 0, 2, 0, 2] + | 76 => [0, 0, 2, 0, 0, 0, 3] | 77 => [0, 0, 2, 0] | 78 => [0, 0, 3] | 79 => [0, 3, 0, 0] + | 80 => [0, 3, 0, 3] | 81 => [1, 1, 2, 1, 3, 1, 3] | 82 => [1, 2, 0, 0, 2, 1, 3, 1] | 83 => [2, 1, 1, 2] + | 84 => [3, 0, 0, 0, 3, 1, 1] | 85 => [1, 1, 3, 0, 3, 0, 0] | 86 => [0, 2, 0, 0] | 87 => [0, 2, 0, 2] + | 88 => [0, 0, 3, 0, 0, 0, 3] | 89 => [0, 3, 0] | 90 => [2, 1, 3] | 91 => [2, 1, 3, 1, 2] + | 92 => [0, 0, 2, 1, 3, 1, 3] | 93 => [2, 1, 1, 3, 1] | 94 => [3, 0, 2, 1, 1] | 95 => [1, 1, 3, 0, 2, 0] + | 96 => [1, 1, 2, 1, 2, 1, 3] | 97 => [0, 0, 0, 2, 1, 3, 1] | 98 => [0, 0, 2, 0, 3, 0, 3] | 99 => [0, 3, 1, 3, 0] + | 100 => [0, 0, 2, 1, 3, 1, 1, 3] | 101 => [1, 3, 0, 0, 3, 0, 3] | 102 => [1, 1, 3, 0, 2, 0, 3] | 103 => [3, 0, 2, 1, 3, 1, 3] + | 104 => [0, 2, 1, 3, 1, 3, 1] | 105 => [1, 2, 1, 3, 1] | 106 => [0, 3, 1, 2, 0, 0, 0] | 107 => [1, 3, 1, 2, 1, 1] + | 108 => [1, 3, 0, 0, 3] | 109 => [1, 2, 0, 3] | 110 => [0, 2, 1, 3, 1, 1, 3] | 111 => [3, 0, 0, 3, 0, 3] + | 112 => [1, 1, 3, 1, 2, 0] | 113 => [1, 1, 2, 1, 3] | 114 => [1, 1, 2, 1, 3, 1, 2] | 115 => [1, 2, 0, 0, 3, 1] + | 116 => [1, 2, 0, 3, 0, 3] | 117 => [2, 0, 0, 0] | 118 => [2, 0, 0, 2] | 119 => [1, 2, 1, 1, 2, 1, 3, 0] + | 120 => [2, 0, 2, 0] | 121 => [2, 0, 3] | 122 => [0, 0, 2, 0, 2, 0, 2, 0] | 123 => [0, 0, 2, 0, 2, 0] + | 124 => [3, 0, 0] | 125 => [3, 0, 2] | 126 => [2, 0, 2, 1] | 127 => [0, 0, 2, 0, 3] + | 128 => [0, 0, 2, 1, 2] | 129 => [0, 0, 2, 0, 2, 1] | 130 => [0, 0, 2, 1, 1, 2, 0] | 131 => [0, 0, 2, 1, 1, 3] + | 132 => [0, 2, 1, 1, 3, 1, 2] | 133 => [3, 0, 3, 1, 3, 1] | 134 => [0, 0, 0, 2, 1, 2, 0, 2] | 135 => [0, 2, 0, 2, 0, 2, 0] + | 136 => [1, 3, 1, 3, 1, 3, 1] | 137 => [2, 0, 3, 0, 2, 0] | 138 => [2, 0, 2, 1, 3, 1] | 139 => [3, 0, 0, 0, 2, 0, 3] + | 140 => [1, 2, 1, 3, 1, 2] | 141 => [0, 2, 1, 3, 0, 2, 1] | 142 => [1, 3, 1, 2, 0, 0, 2] | 143 => [0, 0, 3, 0, 0, 3] + | 144 => [0, 0, 3, 0, 2] | 145 => [1, 2, 1, 2, 0] | 146 => [1, 2, 1, 3] | 147 => [0, 3, 0, 3, 0] + | 148 => [0, 3, 0, 0, 3, 0, 3] | 149 => [0, 0, 0, 3, 1, 3, 0] | 150 => [3, 1, 1, 3] | 151 => [0, 0, 3, 0, 3] + | 152 => [2, 1, 2, 1, 2, 0, 3] | 153 => [3, 1, 2, 0] | 154 => [1, 2, 0] | 155 => [1, 3] + | 156 => [1, 1, 3, 1, 1] | 157 => [3, 0, 0, 0, 2] | 158 => [1, 2, 1] | 159 => [3, 0, 0, 0, 3] + | 160 => [0, 2, 1, 3, 0, 3] | 161 => [3, 0, 3, 1, 3] | 162 => [0, 0, 0, 3, 1, 1, 3, 0] | 163 => [1, 2, 0, 2, 1] + | 164 => [3, 1, 2, 0, 3, 0] | 165 => [0, 0, 2, 0, 0, 0, 3, 1] | 166 => [3, 1, 2] | 167 => [3, 0, 3, 0, 0] + | 168 => [3, 0, 3, 0, 2] | 169 => [3, 0, 3, 0, 3] | 170 => [0, 3, 0, 3, 0, 0, 3, 1] | 171 => [2, 1, 3, 0, 2] + | 172 => [1, 3, 1, 2, 0, 2] | 173 => [2, 0, 3, 0, 3] | 174 => [1, 3, 1, 1, 3] | 175 => [3, 1, 1, 2, 0, 2, 0, 3] + | 176 => [0, 0, 0, 3, 1, 1, 3] | 177 => [0, 0, 2, 0, 0] | 178 => [0, 2, 0, 2, 1, 2] | 179 => [0, 3, 1, 2, 1, 3, 0] + | 180 => [3, 0, 2, 1, 3, 0] | 181 => [0, 0, 0, 2, 1, 1] | 182 => [0, 2, 0, 2, 1, 1, 3] | 183 => [1, 3, 1, 1, 2] + | 184 => [1, 1, 2, 0, 2, 1, 2] | 185 => [0, 0, 2, 0, 2, 1, 1, 2] | 186 => [3, 1, 1, 2] | 187 => [1, 1, 2] + | 188 => [0, 0, 0, 2, 0] | 189 => [0, 0, 0, 3] | 190 => [0, 0, 2, 0, 2, 0, 3] | 191 => [0, 2, 1, 1, 2] + | 192 => [1, 1, 2, 0, 0, 2] | 193 => [0, 3, 0, 3, 0, 3] | 194 => [0, 2, 0, 0, 3, 1, 3] | 195 => [0, 0, 3, 0] + | 196 => [0, 3, 0, 0, 0] | 197 => [0, 3, 0, 0, 2] | 198 => [1, 2, 1, 3, 0, 3, 0] | 199 => [1, 2, 1, 2, 1, 3] + | 200 => [3, 0, 3, 0, 2, 0, 3] | 201 => [0, 3, 0, 2] | 202 => [1, 2, 0, 0, 2, 1, 3] | 203 => [2, 1, 1, 3] + | 204 => [1, 1, 2, 1, 2] | 205 => [1, 2, 0, 0, 0] | 206 => [3, 0, 0, 0, 3, 1] | 207 => [1, 1, 3, 1, 2, 1, 1] + | 208 => [1, 2, 1, 1, 2, 1, 3, 1] | 209 => [1, 1, 2, 1, 3, 0, 2] | 210 => [1, 1, 3, 0, 3, 0, 0, 2] | 211 => [0, 2, 1, 1, 3, 0, 0] + | 212 => [1, 1, 2, 1, 2, 1] | 213 => [0, 2, 0, 0, 0] | 214 => [0, 2, 0, 0, 2] | 215 => [1, 3, 0] + | 216 => [0, 0, 2, 0, 2, 1, 3] | 217 => [0, 0, 3, 0, 0, 0] | 218 => [0, 2, 1, 2, 1] | 219 => [1, 1, 3, 1, 2, 1, 2] + | 220 => [2, 1, 3, 0] | 221 => [2, 1] | 222 => [3, 0, 2, 1, 3, 1] | 223 => [0, 3, 1, 2, 1, 3] + | 224 => [3, 1, 3, 0] | 225 => [2, 1, 2, 1] | 226 => [0, 0, 0, 3, 0, 2, 0] | 227 => [1, 2, 1, 1, 2, 1, 1] + | 228 => [0, 0, 2, 1, 3, 1] | 229 => [0, 0, 3, 1, 2] | 230 => [2, 1, 2, 1, 2] | 231 => [3, 0, 2, 1] + | 232 => [3, 0, 2, 1, 1, 2] | 233 => [2, 1, 1, 2, 1, 3, 0] | 234 => [3, 0, 0, 3, 1, 2] | 235 => [1, 2, 0, 3, 0, 0] + | 236 => [1, 3, 1, 2, 0] | 237 => [0, 0, 0, 2, 1, 3] | 238 => [0, 0, 0, 2, 1, 3, 1, 2] | 239 => [0, 0, 2, 0, 3, 0] + | 240 => [0, 3, 1, 3, 0, 0] | 241 => [0, 2, 0, 2, 0, 2, 1] | 242 => [0, 0, 2, 1, 3, 1, 1] | 243 => [0, 3, 1, 1, 3, 0] + | 244 => [0, 0, 3, 0, 0, 0, 2] | 245 => [0, 0, 3, 1, 1] | 246 => [1, 2, 0, 3, 0, 2] | 247 => [1, 2, 1, 1] + | 248 => [2, 1, 1, 3, 0, 3, 0, 3] | 249 => [0, 3, 0, 0, 2, 0] | 250 => [0, 2, 1, 3, 1, 3] | 251 => [1, 3, 1, 2, 1] + | 252 => [0, 3, 0, 3, 0, 0, 3, 0] | 253 => [0, 3, 1, 3, 0, 0, 3] | 254 => [0, 3, 1, 2, 1, 1] | 255 => [0, 0, 2, 1, 2, 1, 1] + | 256 => [1, 2, 1, 3, 1, 3] | 257 => [0, 0, 3, 1, 3, 1] | 258 => [1, 3, 0, 0] | 259 => [1, 2, 0, 3, 0] + | 260 => [1, 1, 3, 1, 2, 1, 3] | 261 => [0, 0, 3, 0, 0, 2, 0, 2] | 262 => [3, 0, 3, 0, 2, 1] | 263 => [0, 2, 1, 3, 1, 1] + | 264 => [2, 1, 3, 0, 3, 0] | 265 => [1, 2, 0, 2] | 266 => [0, 2, 0, 0, 3, 1, 2] | 267 => [3, 0, 0, 3, 0] + | 268 => [2, 1, 1, 2, 1, 3] | 269 => [0, 2, 0, 2, 1, 2, 1] | 270 => [1, 3, 1, 2, 0, 0, 3, 0] | 271 => [3, 0, 2, 0] + | 272 => [1, 1, 2, 1, 3, 0] | 273 => [1, 1, 2, 1] | 274 => [0, 3, 0, 3, 0, 2, 1] | 275 => [1, 3, 1, 2, 1, 3] + | 276 => [1, 2, 0, 0, 3] | 277 => [1, 2, 0, 0, 3, 1, 2] | 278 => [0, 0, 0, 2, 1, 1, 3] | 279 => [1, 3, 1, 2, 0, 0, 3] + | 280 => [2, 1, 1] | 281 => [2, 0, 0, 0, 2] | 282 => [2, 0, 0, 3] | 283 => [3, 1, 1, 3, 0] + | 284 => [3, 0, 2, 0, 0, 0, 2] | 285 => [0, 3, 1, 3] | 286 => [2, 0, 2, 0, 2] | 287 => [2, 0, 3, 0] + | 288 => [1, 3, 1, 3, 1, 3] | 289 => [0, 3, 0, 3, 0, 3, 1] | 290 => [3, 0, 0, 2] | 291 => [3, 1, 1, 3, 0, 0] + | 292 => [0, 0, 0, 2, 0, 0] | 293 => [2, 0, 2, 1, 2] | 294 => [2, 0, 0, 0, 3] | 295 => [1, 1, 3, 1, 1, 2] + | 296 => [0, 0, 2, 1, 3] | 297 => [3, 0, 3, 0, 3, 0] | 298 => [0, 0, 2, 0, 2, 1, 2] | 299 => [2, 0, 0, 3, 1, 1] + | 300 => [0, 0, 2, 1, 1, 3, 0] | 301 => [0, 2, 1, 1, 3, 1, 3] | 302 => [3, 0, 0, 0, 3, 1, 3] | 303 => [1, 1, 2, 0, 0, 3] + | 304 => [1, 1, 3, 0, 3] | 305 => [0, 2, 1, 2, 1, 2] | 306 => [2, 1, 1, 3, 0, 3, 1] | 307 => [3, 1, 3, 0, 0, 0, 3] + | 308 => [1, 1, 2, 1, 1, 3] | 309 => [2, 0, 2, 1, 3, 1, 2] | 310 => [0, 0, 2, 0, 2, 1, 1, 3] | 311 => [3, 0, 0, 0, 2, 0] + | 312 => [2, 0, 2, 1, 1, 3] | 313 => [2, 0, 2, 0, 3] | 314 => [0, 3, 0, 0, 2, 1] | 315 => [0, 2, 1, 3, 0, 2] + | 316 => [3, 0, 2, 0, 0, 0] | 317 => [0, 0, 2, 1, 3, 1, 1, 2] | 318 => [3, 1, 1, 3, 1] | 319 => [0, 0, 3, 0, 0] + | 320 => [0, 0, 3, 0, 2, 0] | 321 => [3, 1, 3, 1, 1] | 322 => [1, 2, 0, 2, 0, 0, 3] | 323 => [0, 2, 0, 0, 0, 3] + | 324 => [1, 2, 1, 2, 0, 2] | 325 => [1, 2, 1, 3, 0] | 326 => [1, 2, 1, 2, 1] | 327 => [0, 2, 1, 1, 3, 1] + | 328 => [0, 3, 0, 3, 0, 0] | 329 => [0, 3, 0, 3, 0, 2] | 330 => [0, 0, 3, 1, 1, 2] | 331 => [0, 3, 0, 0, 3, 0] + | 332 => [1, 3, 1, 1, 3, 0, 3] | 333 => [0, 0, 0, 3, 1, 3, 0, 2] | 334 => [0, 0, 0, 3, 1, 2] | 335 => [0, 3, 1, 1] + | 336 => [1, 3, 1, 1, 3, 0] | 337 => [0, 2, 0, 2, 1, 3, 1] | 338 => [2, 1, 2, 1, 2, 0] | 339 => [0, 2, 0, 0, 3, 1] + | 340 => [2, 0, 2, 1, 1] | 341 => [1, 2, 0, 0] | 342 => [3, 0, 2, 0, 0, 2] | 343 => [1, 3, 1, 1, 2, 0, 3] + | 344 => [1, 1, 3, 1] | 345 => [1, 3, 0, 0, 2] | 346 => [0, 3, 1] | 347 => [1, 2, 1, 3, 0, 0, 3] + | 348 => [0, 2, 1, 3, 0] | 349 => [2, 1, 3, 0, 3, 0, 0] | 350 => [1, 2, 1, 3, 0, 2] | 351 => [3, 1, 1, 2, 0, 2, 0] + | 352 => [2, 1, 2, 1, 2, 1, 3] | 353 => [1, 3, 0, 0, 0] | 354 => [3, 1, 2, 0, 3, 0, 0] | 355 => [3, 1, 2, 0, 3, 0, 2] + | 356 => [2, 0, 2, 1, 1, 2, 1, 3] | 357 => [3, 0, 0, 2, 1] | 358 => [2, 0, 2, 1, 1, 2, 1] | 359 => [3, 1, 3] + | 360 => [3, 0, 2, 0, 2, 1] | 361 => [1, 2, 0, 0, 0, 3] | 362 => [3, 0, 3, 0, 2, 0] | 363 => [2, 1, 2, 1, 2, 1] + | 364 => [0, 3, 0, 3, 0, 0, 3] | 365 => [2, 1, 3, 0, 2, 0] | 366 => [2, 1, 3, 0, 3] | 367 => [3, 1, 1, 2, 1] + | 368 => [0, 2, 0, 0, 3] | 369 => [3, 0, 0, 3, 1, 3, 0] | 370 => [1, 3, 1, 1] | 371 => [1, 1, 2, 1, 2, 1, 2] + | 372 => [3, 1, 2, 0, 3, 0, 3] | 373 => [0, 0, 0, 3, 1, 1] | 374 => [0, 0, 2, 0, 0, 2] | 375 => [2, 0, 2, 0, 2, 0] + | 376 => [0, 0, 2, 0, 0, 3] | 377 => [0, 2, 0, 2, 1, 3] | 378 => [0, 0, 0, 3, 1, 2, 0] | 379 => [1, 3, 0, 0, 0, 2] + | 380 => [3, 1, 1, 3, 1, 2] | 381 => [1, 2, 1, 1, 2, 1, 3] | 382 => [0, 0, 0, 2, 1] | 383 => [0, 0, 0, 2, 1, 1, 2] + | 384 => [3, 0, 2, 0, 3, 1, 2] | 385 => [0, 2, 1, 2, 0] | 386 => [0, 3, 0, 3, 0, 2, 0, 3] | 387 => [1, 3, 1, 1, 2, 0] + | 388 => [2, 0, 0, 0, 2, 0, 3] | 389 => [1, 1, 2, 1, 3, 1, 1] | 390 => [1, 1, 2, 0, 2, 1, 3] | 391 => [0, 2, 1, 3, 0, 0, 3] + | 392 => [3, 1, 1, 2, 0] | 393 => [2, 1, 1, 3, 0, 0] | 394 => [0, 3, 0, 0, 3, 0, 0] | 395 => [1, 1, 2, 0] + | 396 => [1, 1, 3] | 397 => [0, 0, 3, 0, 2, 1] | 398 => [3, 0, 0, 3, 1] | 399 => [0, 0, 0, 2, 0, 2] + | 400 => [0, 0, 0, 3, 0] | 401 => [2, 0, 0, 0, 2, 0, 2] | 402 => [2, 0, 0, 2, 1, 3] | 403 => [0, 2, 1, 1, 3] + | 404 => [2, 0, 0, 0, 3, 1, 1] | 405 => [0, 0, 3, 0, 3, 1, 1] | 406 => [3, 0, 2, 1, 3] | 407 => [0, 3, 0, 0, 3] + | 408 => [2, 0, 2, 1, 1, 2] | 409 => [0, 0, 3, 1, 1, 3] | 410 => [0, 2, 0, 2, 0, 3, 1] | 411 => [2, 1, 1, 2, 1, 3, 0, 2] + | 412 => [0, 3, 0, 2, 0] | 413 => [0, 0, 0, 3, 0, 2] | 414 => [0, 2, 0, 0, 3, 1, 1, 3] | 415 => [1, 2, 0, 0, 0, 3, 1] + | 416 => [1, 2, 0, 0, 2, 1] | 417 => [1, 1, 2, 1, 1] | 418 => [2, 1, 1, 3, 0] | 419 => [2, 1, 1, 2, 1] + | 420 => [3, 0, 2, 0, 2] | 421 => [1, 1, 2, 1, 2, 0] | 422 => [3, 0, 0, 0, 3, 1, 2] | 423 => [1, 1, 3, 1, 2, 1] + | 424 => [1, 1, 3, 1, 1, 2, 0] | 425 => [0, 2, 1, 3, 1, 1, 2, 0] | 426 => [2, 1, 3, 0, 2, 0, 0] | 427 => [0, 0, 0, 3, 1, 2, 0, 2] + | 428 => [2, 1, 1, 3, 0, 2] | 429 => [1, 2, 0, 0, 2] | 430 => [1, 1, 3, 1, 2, 0, 3] | 431 => [2, 1, 2, 1, 3, 0, 3] + | 432 => [0, 2, 1, 3, 1, 1, 2] | 433 => [0, 2, 1, 1] | 434 => [0, 2, 0, 0, 0, 2] | 435 => [0, 0, 0, 3, 0, 0, 0] + | 436 => [0, 2, 1, 2] | 437 => [1, 2, 1, 3, 0, 0] | 438 => [2, 1, 3, 0, 0] | 439 => [2, 1, 2] + | 440 => [0, 3, 1, 2, 1] | 441 => [3, 1, 3, 0, 0] | 442 => [0, 3, 1, 2] | 443 => [3, 1, 1, 3, 1, 3] + | 444 => [0, 0, 2, 0, 0, 2, 1] | 445 => [1, 2, 1, 1, 2, 1] | 446 => [0, 0, 0, 2, 1, 2, 0] | 447 => [0, 2, 1, 3] + | 448 => [3, 1, 3, 1, 3, 1] | 449 => [0, 0, 3, 1, 3] | 450 => [2, 1, 2, 1, 3] | 451 => [0, 0, 3, 0, 3, 1, 1, 2] + | 452 => [1, 1, 3, 0, 3, 0, 3] | 453 => [3, 0, 2, 1, 1, 3] | 454 => [0, 0, 0, 2, 0, 3] | 455 => [3, 0, 0, 3, 1, 3] + | 456 => [0, 0, 2, 0, 3, 1] | 457 => [0, 0, 3, 1, 3, 1, 1] | 458 => [2, 0, 0, 3, 1] | 459 => [1, 3, 1, 2, 0, 0] + | 460 => [0, 0, 0, 3, 1, 3] | 461 => [1, 2, 1, 3, 1, 1, 3] | 462 => [1, 2, 1, 3, 0, 0, 0] | 463 => [1, 1, 2, 0, 2, 0] + | 464 => [1, 1, 3, 1, 1, 2, 1] | 465 => [0, 0, 0, 2, 0, 2, 1] | 466 => [1, 2, 1, 3, 0, 2, 0] | 467 => [0, 0, 3, 0, 0, 2] + | 468 => [1, 2, 0, 0, 2, 0] | 469 => [0, 3, 1, 2, 1, 2] | 470 => [3, 0, 0, 0, 2, 1] | 471 => [0, 0, 3, 1] + | 472 => [1, 2, 1, 1, 2] | 473 => [0, 0, 3, 0, 0, 3, 1, 3] | 474 => [2, 1, 1, 3, 0, 3, 0] | 475 => [1, 1, 3, 0, 0] + | 476 => [0, 2, 1, 3, 1] | 477 => [1, 3, 1, 2] | 478 => [1, 3, 1, 2, 1, 2] | 479 => [0, 2, 1, 3, 0, 0, 2] + | 480 => [0, 0, 2, 1, 2, 1] | 481 => [2, 0, 0, 0, 3, 0, 0] | 482 => [0, 2, 0, 0, 3, 1, 1, 2] | 483 => [0, 2, 0, 0, 0, 2, 0] + | 484 => [0, 3, 0, 3, 0, 0, 0] | 485 => [0, 0, 2, 0, 0, 3, 1, 3] | 486 => [0, 3, 0, 3, 0, 2, 0] | 487 => [0, 0, 3, 0, 0, 2, 0] + | 488 => [1, 2, 0, 2, 0] | 489 => [0, 3, 1, 1, 3] | 490 => [3, 1, 1, 2, 0, 2] | 491 => [1, 1, 3, 1, 2] + | 492 => [1, 2, 0, 0, 3, 1, 3] | 493 => [1, 2, 1, 2, 0, 2, 0] | 494 => [3, 0, 2, 0, 0] | 495 => [3, 0, 2, 0, 3] + | 496 => [1, 1, 3, 0, 2, 1] | 497 => [3, 1, 3, 1, 2] | 498 => [2, 0, 0, 0, 2, 0] | 499 => [3, 1, 1, 3, 0, 2] + | 500 => [0, 0, 3, 1, 3, 1, 1, 2] | 501 => [1, 3, 1, 3, 1] | 502 => [3, 0, 0, 3] | 503 => [3, 1, 3, 1] + | 504 => [3, 0, 2, 0, 2, 0] | 505 => [0, 0, 3, 0, 0, 3, 1] | 506 => [2, 0, 0, 0, 3, 0] | 507 => [0, 0, 0, 3, 0, 3] + | 508 => [2, 0, 0, 2, 1, 2] | 509 => [3, 1, 3, 1, 1, 2] | 510 => [3, 0, 3, 0, 0, 3] | 511 => [1, 3, 1, 1, 3, 0, 2] + | 512 => [2, 1, 2, 1, 2, 1, 2] | 513 => [1, 3, 1, 3, 1, 2] | 514 => [0, 2, 1, 1, 3, 1, 1] | 515 => [1, 1, 2, 0, 0] + | 516 => [1, 1, 3, 0, 3, 0] | 517 => [1, 1, 3, 0] | 518 => [1, 2, 1, 3, 1, 1] | 519 => [1, 1, 3, 0, 2] + | 520 => [2, 1, 1, 3, 0, 3] | 521 => [0, 2, 0, 2, 0, 2, 0, 3] | 522 => [0, 2, 1, 3, 0, 0] | 523 => [3, 1, 3, 0, 0, 0] + | 524 => [0, 2, 0, 0, 3, 1, 1] | 525 => [2, 1, 3, 0, 0, 3] | 526 => [1, 1, 3, 0, 3, 1] | 527 => [1, 3, 1, 3, 1, 1] + | 528 => [1, 2, 0, 2, 0, 0] | 529 => [1, 1, 2, 0, 2, 1] | 530 => [2, 1, 3, 0, 2, 0, 2] | 531 => [1, 2, 0, 2, 0, 0, 2] + | 532 => [1, 2, 1, 2, 0, 3] | 533 => [1, 2, 1, 3, 0, 3] | 534 => [0, 3, 0, 3, 0, 0, 2] | 535 => [0, 0, 3, 1, 1, 2, 0] + | 536 => [1, 1, 3, 0, 2, 1, 2] | 537 => [0, 2, 1] | 538 => [1, 3, 0, 0, 0, 2, 0] | 539 => [0, 3, 0, 0, 2, 1, 3] + | 540 => [2, 0, 2, 1, 2, 1] | 541 => [0, 2, 0, 2, 0, 3, 1, 3] | 542 => [1, 3, 0, 0, 2, 0] | 543 => [0, 0, 0, 2, 0, 2, 1, 3] + | 544 => [3, 0, 3, 0, 0, 3, 0] | 545 => [0, 0, 0, 3, 0, 0] | 546 => [0, 3, 1, 3, 1] | 547 => [3, 0, 0, 2, 1, 2] + | 548 => [3, 0, 0, 2, 1, 2, 0] | 549 => [1, 3, 1] | 550 => [0, 0, 3, 1, 3, 1, 1, 3] | 551 => [0, 0, 0, 3, 1] + | 552 => [0, 0, 2, 0, 3, 1, 3] | 553 => [1, 1, 3, 0, 0, 2] | 554 => [1, 1, 2, 0, 2] | 555 => [0, 0, 0, 2, 1, 2] + | 556 => [2, 0, 2, 0, 2, 0, 3] | 557 => [1, 2, 1, 1, 2, 1, 2] | 558 => [3, 0, 2, 0, 3, 1, 3] | 559 => [3, 0, 2, 0, 3, 1] + | 560 => [0, 0, 2, 0, 0, 3, 1] | 561 => [0, 2, 1, 3, 1, 2] | 562 => [2, 0, 0, 2, 1] | 563 => [0, 2, 1, 1, 3, 0] + | 564 => [2, 0, 0, 0, 3, 1] | 565 => [1, 2, 0, 0, 2, 1, 2] | 566 => [0, 0, 3, 1, 2, 1] | 567 => [3, 1, 1, 3, 0, 2, 0] + | 568 => [3, 1, 1, 2, 0, 3] | 569 => [3, 1, 1, 2, 0, 3, 1] | 570 => [3, 1, 3, 1, 3] | 571 => [2, 1, 2, 1, 3, 0] + | 572 => [1, 1, 3, 0, 0, 0] | 573 => [0, 0, 3, 0, 2, 0, 3] | 574 => [1, 3, 1, 3] | 575 => [3, 0, 0, 2, 1, 3] + +theorem meinhold576Witness_correct : + ∀ v : Fin 576, applyWord' meinhold576Gens (meinhold576WitnessWords v) 0 = v := by + native_decide + +/-! ## Graph definition via connection set -/ + +/-- The Meinhold-576 graph: 576 vertices, 7-regular, girth 6. + Adjacency is defined from the Sabidussi connection set: u is adjacent to v + iff the group element mapping 0 to u also maps some element of D to v. -/ +def meinhold576Graph : SimpleGraph (Fin 576) where + Adj u v := + u ≠ v ∧ + let σ_inv := (applyWord' meinhold576Gens (meinhold576WitnessWords u)).symm + let w := σ_inv v + w = (2 : Fin 576) ∨ w = 5 ∨ w = 17 ∨ w = 128 ∨ w = 137 ∨ w = 222 ∨ w = 275 + symm u v := by simp only; revert u v; native_decide + loopless := ⟨fun u => by simp only; revert u; native_decide⟩ + +instance meinhold576DecAdj : DecidableRel meinhold576Graph.Adj := + fun u v => inferInstance + +theorem meinhold576Gen1_adj : ∀ u v : Fin 576, + meinhold576Graph.Adj u v ↔ meinhold576Graph.Adj (meinhold576Gens 0 u) (meinhold576Gens 0 v) := by + native_decide + +theorem meinhold576Gen2_adj : ∀ u v : Fin 576, + meinhold576Graph.Adj u v ↔ meinhold576Graph.Adj (meinhold576Gens 1 u) (meinhold576Gens 1 v) := by + native_decide + +/-! ## Sabidussi coset graph proof -/ + +private def m576Group := Subgroup.closure (Set.range meinhold576Gens) + +private noncomputable instance : MulAction m576Group (Fin 576) := + MulAction.compHom _ m576Group.subtype + +private noncomputable instance : GraphAction m576Group (Fin 576) meinhold576Graph where + adj_smul g u v h := closureGraphAction meinhold576Gens + (fun i => by match i with | 0 => exact meinhold576Gen1_adj | 1 => exact meinhold576Gen2_adj) + g.1 g.2 u v h + +set_option maxRecDepth 2048 in +private noncomputable instance : MulAction.IsPretransitive m576Group (Fin 576) where + exists_smul_eq x y := + ⟨⟨_, m576Group.mul_mem (applyWord'_mem meinhold576Gens _) + (m576Group.inv_mem (applyWord'_mem meinhold576Gens _))⟩, by + change ((applyWord' meinhold576Gens (meinhold576WitnessWords x)).symm.trans + (applyWord' meinhold576Gens (meinhold576WitnessWords y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' meinhold576Gens (meinhold576WitnessWords x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (meinhold576Witness_correct x).symm] + exact meinhold576Witness_correct y⟩ + +/-- **Meinhold-576 is a Sabidussi coset graph.** + +G₂(2) acts vertex-transitively on the 576 cosets of C₇:C₃. +`Meinhold-576 ≃g Sab(G₂(2), C₇:C₃, D)` with `576 = 12096/21` vertices. -/ +noncomputable def meinhold576SabidussiIso : + meinhold576Graph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer m576Group (0 : Fin 576)) + (connectionSet m576Group meinhold576Graph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +/-! ## Properties -/ + +/-- Meinhold-576 is connected. -/ +theorem meinhold576_connected : meinhold576Graph.Connected := by native_decide + +/-- Meinhold-576 has no triangles (girth ≥ 4). -/ +theorem meinhold576_triangleFree : + ∀ u v w : Fin 576, meinhold576Graph.Adj u v → meinhold576Graph.Adj v w → + meinhold576Graph.Adj u w → False := by + native_decide + +/-- Meinhold-576 has a 6-cycle (girth ≤ 6, combined with triangle-free gives girth ≥ 4). -/ +theorem meinhold576_has_6cycle : + ∃ a b c d e f : Fin 576, + a ≠ d ∧ b ≠ e ∧ c ≠ f ∧ + meinhold576Graph.Adj a b ∧ meinhold576Graph.Adj b c ∧ + meinhold576Graph.Adj c d ∧ meinhold576Graph.Adj d e ∧ + meinhold576Graph.Adj e f ∧ meinhold576Graph.Adj f a := by + exact ⟨0, 128, 386, 238, 114, 17, + by native_decide, by native_decide, by native_decide, + by native_decide, by native_decide, by native_decide, + by native_decide, by native_decide, by native_decide⟩ diff --git a/Archive/MeinholdGraphs.lean b/Archive/MeinholdGraphs.lean new file mode 100644 index 00000000000000..3faef6b5a0e6c3 --- /dev/null +++ b/Archive/MeinholdGraphs.lean @@ -0,0 +1,574 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Archive.ClayworthGraph +import Mathlib.Combinatorics.SimpleGraph.Connectivity.Finite +import Mathlib.Combinatorics.SimpleGraph.Finite +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Meinhold-72: Sabidussi coset graph Sab(G₂(2), PSL(3,2)) + +The **Meinhold-72** graph (72 vertices, 7-regular, girth 4) is the coset graph +`Sab(G₂(2), PSL(3,2), D)` with `72 = 12096/168` vertices. Equivalently, it is +the block quotient of the Clayworth graph (4032 vertices, cubic) via the natural +projection G₂(2)/C₃ → G₂(2)/PSL(3,2), with uniform fibers of size 56. + +Named after Nick Meinhold, co-founder of Imagineering Melbourne. + +## The Langer graph is NOT a quotient of Clayworth + +The Langer graph (63 vertices, 6-regular) is `Sab(G₂(2), H₁₉₂)` where +H₁₉₂ = Stab_G(p) is the point stabiliser of GH(2,2). The Clayworth C₃ +generator has **zero fixed points** on the 63 GH(2,2) points, so C₃ is not +contained in any conjugate of H₁₉₂. No coset projection exists. + +Furthermore, the three order-192 overgroups of C₃ have structure +(((C₄×C₄):C₂):C₃):C₂, NOT conjugate to H₁₉₂ ≅ (SL(2,3):C₄):C₂. + +## The Meinhold family + +Five coset graphs `Sab(G₂(2), K, D)` for intermediate subgroups C₃ ≤ K ≤ G₂(2): + +| Graph | V | Deg | Girth | K | |K| | +|-------|-----|-----|-------|-------|-----| +| Meinhold-72 | 72 | 7 | 4 | PSL(3,2) | 168 | +| Meinhold-504 | 504 | 24 | 4 | S₄ | 24 | +| Meinhold-576 | 576 | 7 | 6 | C₇:C₃ | 21 | +| Meinhold-1344 | 1344 | 9 | 6 | C₃×C₃ | 9 | +| Meinhold-2016 | 2016 | 6 | 8 | C₆ | 6 | + +Each is defined in its own file: `Archive.MeinholdNNN`. + +## Visualizations + +* [The Meinhold-72 graph](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/meinhold-72.jpeg) — 72 vertices, 7-regular, quotient of Clayworth by PSL(3,2) + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-! ## Meinhold-72 neighbor data -/ + +private def meinhold72NeighborData : Array (Fin 72) := #[ + 2, 5, 6, 14, 16, 34, 70, 4, 7, 12, 13, 30, 35, 61, + 0, 7, 13, 15, 36, 46, 64, 8, 10, 17, 32, 37, 65, 68, + 1, 6, 14, 22, 29, 56, 60, 0, 15, 18, 31, 50, 57, 71, + 0, 4, 7, 33, 40, 59, 71, 1, 2, 6, 32, 38, 65, 66, + 3, 18, 20, 27, 28, 31, 47, 19, 26, 32, 37, 38, 56, 60, + 3, 20, 39, 40, 55, 59, 67, 20, 21, 27, 33, 35, 40, 61, + 1, 22, 25, 54, 58, 62, 66, 1, 2, 14, 17, 48, 62, 68, + 0, 4, 13, 39, 44, 55, 57, 2, 5, 17, 26, 32, 41, 49, + 0, 27, 28, 33, 44, 50, 64, 3, 13, 15, 18, 30, 55, 63, + 5, 8, 17, 42, 58, 62, 70, 9, 28, 31, 43, 50, 52, 53, + 8, 10, 11, 25, 45, 51, 58, 11, 24, 41, 42, 49, 54, 58, + 4, 12, 23, 39, 52, 53, 59, 22, 24, 37, 42, 60, 62, 68, + 21, 23, 33, 36, 59, 64, 67, 12, 20, 31, 39, 43, 57, 61, + 9, 15, 36, 43, 55, 57, 67, 8, 11, 16, 34, 42, 48, 68, + 8, 16, 19, 38, 51, 65, 70, 4, 30, 44, 50, 52, 63, 71, + 1, 17, 29, 49, 51, 58, 65, 5, 8, 19, 25, 32, 34, 66, + 3, 7, 9, 15, 31, 40, 61, 6, 11, 16, 24, 38, 45, 60, + 0, 27, 31, 39, 40, 46, 53, 1, 11, 38, 48, 51, 54, 56, + 2, 24, 26, 38, 54, 62, 70, 3, 9, 23, 47, 52, 63, 67, + 7, 9, 28, 33, 35, 36, 47, 10, 14, 22, 25, 34, 68, 69, + 6, 10, 11, 32, 34, 41, 56, 15, 21, 40, 46, 63, 67, 71, + 18, 21, 23, 27, 50, 53, 63, 19, 25, 26, 49, 51, 54, 69, + 14, 16, 29, 45, 48, 51, 69, 20, 33, 44, 47, 57, 67, 71, + 2, 34, 41, 48, 54, 66, 69, 8, 37, 38, 45, 48, 62, 66, + 13, 27, 35, 44, 46, 47, 63, 15, 21, 30, 43, 50, 61, 64, + 5, 16, 19, 29, 42, 49, 60, 20, 28, 30, 35, 43, 44, 55, + 19, 22, 29, 37, 65, 66, 69, 19, 22, 34, 42, 54, 56, 70, + 12, 21, 35, 36, 43, 46, 53, 10, 14, 17, 26, 51, 56, 70, + 4, 9, 35, 40, 53, 55, 63, 5, 14, 25, 26, 45, 60, 62, + 12, 18, 20, 21, 30, 59, 71, 6, 10, 22, 24, 58, 65, 70, + 4, 9, 23, 33, 50, 57, 61, 1, 11, 25, 32, 49, 60, 68, + 12, 13, 18, 23, 36, 47, 57, 17, 29, 37, 41, 42, 48, 56, + 2, 16, 24, 49, 65, 68, 69, 3, 7, 28, 30, 52, 59, 64, + 7, 12, 31, 46, 47, 52, 71, 10, 24, 26, 37, 41, 45, 69, + 3, 13, 23, 27, 39, 61, 64, 39, 43, 44, 46, 52, 64, 67, + 0, 18, 28, 36, 53, 55, 59, 5, 6, 29, 41, 45, 58, 66, +] + +private theorem meinhold72NeighborData_size : meinhold72NeighborData.size = 504 := by native_decide + +private def meinhold72AdjBool (u v : Fin 72) : Bool := + have h := meinhold72NeighborData_size + let b := 7 * u.val + meinhold72NeighborData[b]'(by omega) == v || + meinhold72NeighborData[b + 1]'(by omega) == v || + meinhold72NeighborData[b + 2]'(by omega) == v || + meinhold72NeighborData[b + 3]'(by omega) == v || + meinhold72NeighborData[b + 4]'(by omega) == v || + meinhold72NeighborData[b + 5]'(by omega) == v || + meinhold72NeighborData[b + 6]'(by omega) == v + +/-- The Meinhold-72 graph: 72 vertices, 7-regular, girth 4, diameter 5. -/ +def meinhold72Graph : SimpleGraph (Fin 72) where + Adj u v := meinhold72AdjBool u v + symm u v := by simp only [meinhold72AdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [meinhold72AdjBool]; revert u; native_decide⟩ + +instance meinhold72DecAdj : DecidableRel meinhold72Graph.Adj := + fun u v => inferInstanceAs (Decidable (meinhold72AdjBool u v)) + +/-! ## Block map: Clayworth → Meinhold-72 -/ + +private def meinholdBlockMapData : Array (Fin 72) := #[ + 0, 1, 2, 4, 4, 2, 13, 6, 1, 0, 13, 6, 1, 0, 14, 7, 4, 2, 1, 0, 0, 1, 7, 14, 2, 4, 4, 2, 14, 7, + 14, 7, 4, 2, 6, 13, 14, 7, 7, 14, 0, 1, 14, 7, 4, 2, 2, 4, 6, 13, 0, 1, 6, 13, 13, 6, 0, 1, 6, 13, + 6, 13, 14, 7, 3, 5, 8, 15, 15, 8, 31, 17, 5, 3, 31, 17, 5, 3, 32, 18, 15, 8, 5, 3, 3, 5, 18, 32, 8, 15, + 15, 8, 32, 18, 32, 18, 15, 8, 17, 31, 32, 18, 18, 32, 3, 5, 32, 18, 15, 8, 8, 15, 17, 31, 3, 5, 17, 31, 31, 17, + 3, 5, 17, 31, 17, 31, 32, 18, 23, 6, 24, 4, 4, 24, 59, 60, 6, 23, 59, 60, 6, 23, 22, 33, 4, 24, 6, 23, 23, 6, + 33, 22, 24, 4, 4, 24, 22, 33, 22, 33, 4, 24, 60, 59, 22, 33, 33, 22, 23, 6, 22, 33, 4, 24, 24, 4, 60, 59, 23, 6, + 60, 59, 59, 60, 23, 6, 60, 59, 60, 59, 22, 33, 12, 10, 22, 20, 20, 22, 59, 25, 10, 12, 59, 25, 10, 12, 58, 39, 20, 22, + 10, 12, 12, 10, 39, 58, 22, 20, 20, 22, 58, 39, 58, 39, 20, 22, 25, 59, 58, 39, 39, 58, 12, 10, 58, 39, 20, 22, 22, 20, + 25, 59, 12, 10, 25, 59, 59, 25, 12, 10, 25, 59, 25, 59, 58, 39, 20, 42, 8, 21, 21, 8, 27, 58, 42, 20, 27, 58, 42, 20, + 11, 18, 21, 8, 42, 20, 20, 42, 18, 11, 8, 21, 21, 8, 11, 18, 11, 18, 21, 8, 58, 27, 11, 18, 18, 11, 20, 42, 11, 18, + 21, 8, 8, 21, 58, 27, 20, 42, 58, 27, 27, 58, 20, 42, 58, 27, 58, 27, 11, 18, 45, 64, 67, 16, 16, 67, 24, 44, 64, 45, + 24, 44, 64, 45, 33, 69, 16, 67, 64, 45, 45, 64, 69, 33, 67, 16, 16, 67, 33, 69, 33, 69, 16, 67, 44, 24, 33, 69, 69, 33, + 45, 64, 33, 69, 16, 67, 67, 16, 44, 24, 45, 64, 44, 24, 24, 44, 45, 64, 44, 24, 44, 24, 33, 69, 46, 17, 48, 15, 15, 48, + 13, 41, 17, 46, 13, 41, 17, 46, 2, 63, 15, 48, 17, 46, 46, 17, 63, 2, 48, 15, 15, 48, 2, 63, 2, 63, 15, 48, 41, 13, + 2, 63, 63, 2, 46, 17, 2, 63, 15, 48, 48, 15, 41, 13, 46, 17, 41, 13, 13, 41, 46, 17, 41, 13, 41, 13, 2, 63, 55, 60, + 26, 4, 4, 26, 57, 56, 60, 55, 57, 56, 60, 55, 14, 9, 4, 26, 60, 55, 55, 60, 9, 14, 26, 4, 4, 26, 14, 9, 14, 9, + 4, 26, 56, 57, 14, 9, 9, 14, 55, 60, 14, 9, 4, 26, 26, 4, 56, 57, 55, 60, 56, 57, 57, 56, 55, 60, 56, 57, 56, 57, + 14, 9, 25, 7, 31, 1, 1, 31, 66, 61, 7, 25, 66, 61, 7, 25, 12, 32, 1, 31, 7, 25, 25, 7, 32, 12, 31, 1, 1, 31, + 12, 32, 12, 32, 1, 31, 61, 66, 12, 32, 32, 12, 25, 7, 12, 32, 1, 31, 31, 1, 61, 66, 25, 7, 61, 66, 66, 61, 25, 7, + 61, 66, 61, 66, 12, 32, 0, 25, 14, 31, 31, 14, 57, 34, 25, 0, 57, 34, 25, 0, 5, 39, 31, 14, 25, 0, 0, 25, 39, 5, + 14, 31, 31, 14, 5, 39, 5, 39, 31, 14, 34, 57, 5, 39, 39, 5, 0, 25, 5, 39, 31, 14, 14, 31, 34, 57, 0, 25, 34, 57, + 57, 34, 0, 25, 34, 57, 34, 57, 5, 39, 22, 47, 12, 37, 37, 12, 66, 23, 47, 22, 66, 23, 47, 22, 52, 62, 37, 12, 47, 22, + 22, 47, 62, 52, 12, 37, 37, 12, 52, 62, 52, 62, 37, 12, 23, 66, 52, 62, 62, 52, 22, 47, 52, 62, 37, 12, 12, 37, 23, 66, + 22, 47, 23, 66, 66, 23, 22, 47, 23, 66, 23, 66, 52, 62, 4, 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36, 47, 70, 62, 28, 8, 36, 36, 8, 18, 38, 8, 36, 47, 70, 70, 47, 62, 28, 18, 38, + 62, 28, 28, 62, 18, 38, 62, 28, 62, 28, 8, 36, +] + +private theorem meinholdBlockMapData_size : meinholdBlockMapData.size = 4032 := by native_decide + +/-- The block map from Clayworth (4032 vertices) to Meinhold-72 (72 vertices). -/ +def meinholdBlockMap : Fin 4032 → Fin 72 := + fun v => meinholdBlockMapData[v.val]'(by have := meinholdBlockMapData_size; omega) + +/-- The block map is surjective. -/ +theorem meinholdBlockMap_surjective : Function.Surjective meinholdBlockMap := by + native_decide + +/-- The block map is a graph homomorphism: adjacent Clayworth vertices map to + adjacent or equal Meinhold-72 vertices. -/ +theorem meinholdBlockMap_adj {v w : Fin 4032} + (h : clayworthGraph.Adj v w) : + meinholdBlockMap v = meinholdBlockMap w ∨ meinhold72Graph.Adj (meinholdBlockMap v) (meinholdBlockMap w) := by + revert h; revert v w; native_decide + +/-- Meinhold-72 is 7-regular: every vertex has exactly 7 neighbors. -/ +theorem meinhold72_degree (v : Fin 72) : + (meinhold72Graph.neighborFinset v).card = 7 := by + revert v; native_decide + +/-- Meinhold-72 has no triangles (girth ≥ 4). -/ +theorem meinhold72_triangleFree : + ∀ u v w : Fin 72, meinhold72Graph.Adj u v → meinhold72Graph.Adj v w → + meinhold72Graph.Adj u w → False := by + native_decide + +/-- Meinhold-72 has a 4-cycle (girth ≤ 4, hence girth = 4). -/ +theorem meinhold72_has_4cycle : + ∃ a b c d : Fin 72, + a ≠ c ∧ b ≠ d ∧ + meinhold72Graph.Adj a b ∧ meinhold72Graph.Adj b c ∧ + meinhold72Graph.Adj c d ∧ meinhold72Graph.Adj d a := by + exact ⟨0, 2, 64, 16, by native_decide, by native_decide, + by native_decide, by native_decide, by native_decide, by native_decide⟩ + +/-- Meinhold-72 is connected. -/ +theorem meinhold72_connected : meinhold72Graph.Connected := by native_decide + +/-! ## Sabidussi coset graph proof + +The G₂(2) action on 4032 Clayworth vertices induces an action on the 72 blocks. +Two generators (orders 3 and 6) preserve Meinhold-72 adjacency and act transitively. +Therefore Meinhold-72 ≃g Sab(G₂(2), PSL(3,2), D) with 72 = 12096/168 vertices. -/ + +private def meinhold72Gen1Fwd : Array (Fin 72) := #[ + 3, 5, 8, 12, 15, 10, 17, 18, 22, 21, 1, 29, 0, 31, 32, 20, 37, 25, 39, 24, 4, 44, 2, 46, 48, 6, 11, 52, 23, 26, 57, 59, 58, 63, 65, 50, 27, 54, 42, 7, 30, 51, 69, 33, 9, 56, 28, 53, 19, 45, 67, 60, 36, 64, 16, 61, 49, 40, 14, 13, 41, 71, 34, 43, 47, 62, 70, 35, 66, 38, 68, 55 +] +private def meinhold72Gen1Rev : Array (Fin 72) := #[ + 12, 10, 22, 0, 20, 1, 25, 39, 2, 44, 5, 26, 3, 59, 58, 4, 54, 6, 7, 48, 15, 9, 8, 28, 19, 17, 29, 36, 46, 11, 40, 13, 14, 43, 62, 67, 52, 16, 69, 18, 57, 60, 38, 63, 21, 49, 23, 64, 24, 56, 35, 41, 27, 47, 37, 71, 45, 30, 32, 31, 51, 55, 65, 33, 53, 34, 68, 50, 70, 42, 66, 61 +] +private def meinhold72Gen2Fwd : Array (Fin 72) := #[ + 25, 7, 31, 37, 1, 43, 61, 32, 67, 56, 23, 33, 2, 66, 12, 19, 20, 52, 69, 55, 24, 16, 13, 48, 27, 36, 53, 45, 10, 30, 65, 26, 9, 11, 57, 6, 34, 63, 40, 62, 60, 50, 44, 70, 58, 21, 5, 41, 71, 28, 51, 59, 17, 14, 0, 22, 4, 54, 64, 68, 35, 38, 46, 29, 8, 3, 15, 42, 47, 18, 39, 49 +] +private def meinhold72Gen2Rev : Array (Fin 72) := #[ + 54, 4, 12, 65, 56, 46, 35, 1, 64, 32, 28, 33, 14, 22, 53, 66, 21, 52, 69, 15, 16, 45, 55, 10, 20, 0, 31, 24, 49, 63, 29, 2, 7, 11, 36, 60, 25, 3, 61, 70, 38, 47, 67, 5, 42, 27, 62, 68, 23, 71, 41, 50, 17, 26, 57, 19, 9, 34, 44, 51, 40, 6, 39, 37, 58, 30, 13, 8, 59, 18, 43, 48 +] + +private theorem meinhold72Gen1Fwd_size : meinhold72Gen1Fwd.size = 72 := by native_decide +private theorem meinhold72Gen1Rev_size : meinhold72Gen1Rev.size = 72 := by native_decide +private theorem meinhold72Gen2Fwd_size : meinhold72Gen2Fwd.size = 72 := by native_decide +private theorem meinhold72Gen2Rev_size : meinhold72Gen2Rev.size = 72 := by native_decide + +/-- G₂(2) generators acting on the 72 Meinhold blocks (orders 3 and 6). -/ +def meinhold72Gens : Fin 2 → Equiv.Perm (Fin 72) + | 0 => { + toFun := fun v => meinhold72Gen1Fwd[v.val]'(by have := meinhold72Gen1Fwd_size; omega) + invFun := fun v => meinhold72Gen1Rev[v.val]'(by have := meinhold72Gen1Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + | 1 => { + toFun := fun v => meinhold72Gen2Fwd[v.val]'(by have := meinhold72Gen2Fwd_size; omega) + invFun := fun v => meinhold72Gen2Rev[v.val]'(by have := meinhold72Gen2Rev_size; omega) + left_inv := by intro v; revert v; native_decide + right_inv := by intro v; revert v; native_decide } + +theorem meinhold72Gen1_adj : ∀ u v : Fin 72, + meinhold72Graph.Adj u v ↔ meinhold72Graph.Adj (meinhold72Gens 0 u) (meinhold72Gens 0 v) := by + native_decide + +theorem meinhold72Gen2_adj : ∀ u v : Fin 72, + meinhold72Graph.Adj u v ↔ meinhold72Graph.Adj (meinhold72Gens 1 u) (meinhold72Gens 1 v) := by + native_decide + +private def meinhold72WitnessWords (v : Fin 72) : List (Fin 4) := + match v with + | 0 => [] | 1 => [1, 3, 0, 3, 3] | 2 => [1, 2] | 3 => [0] + | 4 => [3, 0, 2, 0] | 5 => [0, 2, 2, 0, 3] | 6 => [2, 0] | 7 => [1, 3, 0, 3] + | 8 => [1, 2, 0] | 9 => [1, 3, 0, 2] | 10 => [0, 2, 2, 0, 3, 0] | 11 => [0, 2, 2, 1, 2] + | 12 => [1] | 13 => [1, 2, 1, 2] | 14 => [1, 3] | 15 => [3, 0, 2, 1] + | 16 => [3, 0] | 17 => [2, 1] | 18 => [0, 3, 0, 3, 1] | 19 => [1, 2, 1, 3, 3] + | 20 => [3, 0, 2] | 21 => [3, 0, 3] | 22 => [1, 2, 1] | 23 => [0, 3, 0, 2, 1] + | 24 => [2, 2, 0, 3] | 25 => [2] | 26 => [1, 2, 2, 2] | 27 => [2, 2, 0] + | 28 => [0, 3, 0, 2, 0] | 29 => [0, 2, 2, 2] | 30 => [0, 3, 3] | 31 => [1, 2, 2] + | 32 => [1, 3, 0] | 33 => [0, 2, 2, 1] | 34 => [0, 3, 1] | 35 => [2, 0, 3] + | 36 => [2, 2] | 37 => [0, 2] | 38 => [2, 0, 2, 2] | 39 => [0, 3, 0, 3] + | 40 => [3, 3, 0] | 41 => [1, 3, 3, 1, 2] | 42 => [1, 2, 0, 2, 2] | 43 => [0, 2, 2, 0] + | 44 => [1, 3, 1, 3] | 45 => [2, 2, 0, 2] | 46 => [0, 3, 0, 2] | 47 => [1, 3, 3, 1] + | 48 => [2, 0, 2, 0, 3] | 49 => [2, 0, 2, 0, 2] | 50 => [2, 0, 3, 0] | 51 => [1, 2, 2, 0, 3] + | 52 => [2, 1, 2] | 53 => [1, 3, 3] | 54 => [3] | 55 => [1, 2, 1, 3] + | 56 => [1, 3, 0, 2, 2] | 57 => [3, 3] | 58 => [1, 3, 1] | 59 => [1, 2, 2, 0] + | 60 => [2, 0, 3, 3] | 61 => [2, 0, 2] | 62 => [0, 3, 0] | 63 => [0, 2, 2] + | 64 => [1, 2, 0, 3] | 65 => [0, 3] | 66 => [1, 2, 1, 2, 2] | 67 => [1, 2, 0, 2] + | 68 => [1, 2, 2, 0, 2] | 69 => [2, 0, 2, 2, 1] | 70 => [0, 2, 2, 0, 2] | 71 => [2, 0, 2, 0] + +theorem meinhold72Witness_correct : + ∀ v : Fin 72, applyWord' meinhold72Gens (meinhold72WitnessWords v) 0 = v := by + native_decide + +private def mGroup := Subgroup.closure (Set.range meinhold72Gens) + +private noncomputable instance : MulAction mGroup (Fin 72) := + MulAction.compHom _ mGroup.subtype + +private noncomputable instance : GraphAction mGroup (Fin 72) meinhold72Graph where + adj_smul g u v h := closureGraphAction meinhold72Gens + (fun i => by match i with | 0 => exact meinhold72Gen1_adj | 1 => exact meinhold72Gen2_adj) + g.1 g.2 u v h + +set_option maxRecDepth 2048 in +private noncomputable instance : MulAction.IsPretransitive mGroup (Fin 72) where + exists_smul_eq x y := + ⟨⟨_, mGroup.mul_mem (applyWord'_mem meinhold72Gens _) + (mGroup.inv_mem (applyWord'_mem meinhold72Gens _))⟩, by + change ((applyWord' meinhold72Gens (meinhold72WitnessWords x)).symm.trans + (applyWord' meinhold72Gens (meinhold72WitnessWords y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' meinhold72Gens (meinhold72WitnessWords x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (meinhold72Witness_correct x).symm] + exact meinhold72Witness_correct y⟩ + +/-- **Meinhold-72 is a Sabidussi coset graph.** + +G₂(2) acts vertex-transitively on the 72 cosets of PSL(3,2). +`Meinhold-72 ≃g Sab(G₂(2), PSL(3,2), D)` with `72 = 12096/168` vertices. -/ +noncomputable def meinhold72SabidussiIso : + meinhold72Graph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer mGroup (0 : Fin 72)) + (connectionSet mGroup meinhold72Graph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 + +/-- Every Meinhold-72 edge lifts to a Clayworth edge: for adjacent blocks a, b + there exist vertices in those fibers that are adjacent in Clayworth. + Together with `meinholdBlockMap_adj`, this makes the block map a full + graph-theoretic quotient map. -/ +theorem meinholdBlockMap_lifts {a b : Fin 72} + (h : meinhold72Graph.Adj a b) : + ∃ v w : Fin 4032, meinholdBlockMap v = a ∧ meinholdBlockMap w = b ∧ + clayworthGraph.Adj v w := by + revert h; revert a b; native_decide + +/-- Each fiber of the block map has exactly 56 vertices. -/ +theorem meinholdBlockMap_fiber_card (b : Fin 72) : + (Finset.univ.filter fun v : Fin 4032 => meinholdBlockMap v = b).card = 56 := by + revert b; native_decide + +/-! ## Langer is not a quotient of Clayworth -/ + +private def clayworth63BlockMapData : Array (Fin 63) := #[ + 0, 1, 2, 4, 7, 14, 13, 6, 25, 40, 19, 35, 1, 0, 21, 5, 48, 57, 17, 41, 41, 17, 44, 37, 38, 23, 48, 57, 15, 8, + 15, 8, 23, 38, 9, 20, 18, 27, 5, 21, 47, 46, 18, 27, 4, 2, 14, 7, 6, 13, 40, 25, 35, 19, 20, 9, 47, 46, 24, 39, + 24, 39, 37, 44, 3, 5, 9, 16, 22, 37, 36, 0, 49, 23, 4, 55, 5, 3, 13, 11, 60, 48, 39, 58, 58, 39, 18, 42, 46, 29, + 60, 48, 41, 26, 41, 26, 29, 46, 28, 35, 43, 7, 11, 13, 25, 31, 43, 7, 16, 9, 37, 22, 0, 36, 23, 49, 55, 4, 35, 28, + 25, 31, 8, 51, 8, 51, 42, 18, 39, 23, 38, 24, 6, 14, 41, 18, 58, 49, 5, 25, 23, 39, 56, 59, 45, 52, 7, 13, 13, 7, + 33, 32, 61, 10, 45, 52, 21, 40, 21, 40, 10, 61, 26, 42, 17, 27, 59, 56, 43, 11, 17, 27, 24, 38, 14, 6, 18, 41, 49, 58, + 25, 5, 42, 26, 43, 11, 3, 31, 3, 31, 32, 33, 6, 11, 28, 19, 27, 42, 21, 3, 47, 29, 16, 20, 11, 6, 36, 1, 57, 60, + 51, 15, 15, 51, 43, 14, 31, 40, 57, 60, 58, 24, 58, 24, 40, 31, 2, 55, 44, 22, 1, 36, 49, 38, 44, 22, 19, 28, 42, 27, + 3, 21, 29, 47, 20, 16, 55, 2, 49, 38, 26, 17, 26, 17, 14, 43, 50, 59, 26, 29, 62, 32, 35, 39, 34, 10, 24, 19, 59, 50, + 41, 46, 12, 45, 31, 36, 36, 31, 17, 47, 11, 16, 12, 45, 13, 9, 13, 9, 16, 11, 0, 25, 20, 6, 46, 41, 58, 28, 20, 6, + 29, 26, 32, 62, 39, 35, 10, 34, 19, 24, 25, 0, 58, 28, 40, 1, 40, 1, 47, 17, 22, 9, 5, 58, 3, 39, 50, 2, 49, 25, + 1, 54, 9, 22, 15, 34, 60, 46, 37, 16, 16, 37, 19, 30, 48, 29, 60, 46, 14, 32, 14, 32, 29, 48, 45, 27, 52, 17, 34, 15, + 23, 31, 52, 17, 58, 5, 39, 3, 2, 50, 25, 49, 54, 1, 27, 45, 23, 31, 6, 33, 6, 33, 30, 19, 51, 29, 46, 8, 0, 37, + 58, 43, 15, 47, 11, 49, 29, 51, 45, 61, 50, 53, 22, 36, 36, 22, 52, 10, 62, 30, 50, 53, 13, 23, 13, 23, 30, 62, 24, 14, + 39, 7, 61, 45, 44, 1, 39, 7, 8, 46, 37, 0, 43, 58, 47, 15, 49, 11, 14, 24, 44, 1, 6, 38, 6, 38, 10, 52, 31, 10, + 61, 3, 18, 14, 13, 17, 36, 34, 59, 58, 10, 31, 30, 55, 37, 57, 6, 41, 41, 6, 44, 48, 54, 51, 37, 57, 56, 49, 56, 49, + 51, 54, 9, 47, 7, 27, 55, 30, 20, 46, 7, 27, 3, 61, 14, 18, 17, 13, 34, 36, 58, 59, 47, 9, 20, 46, 50, 28, 50, 28, + 48, 44, 37, 25, 40, 44, 8, 41, 14, 19, 16, 49, 9, 23, 25, 37, 53, 59, 28, 43, 17, 15, 15, 17, 51, 26, 61, 12, 28, 43, + 20, 38, 20, 38, 12, 61, 32, 30, 7, 35, 59, 53, 52, 34, 7, 35, 44, 40, 41, 8, 19, 14, 49, 16, 23, 9, 30, 32, 52, 34, + 22, 31, 22, 31, 26, 51, 18, 46, 0, 5, 27, 47, 56, 50, 43, 16, 29, 42, 46, 18, 35, 23, 52, 12, 1, 21, 21, 1, 20, 14, + 28, 49, 52, 12, 36, 3, 36, 3, 49, 28, 38, 19, 33, 62, 23, 35, 34, 61, 33, 62, 5, 0, 47, 27, 50, 56, 16, 43, 42, 29, + 19, 38, 34, 61, 9, 7, 9, 7, 14, 20, 8, 34, 45, 18, 35, 30, 20, 22, 57, 29, 58, 21, 34, 8, 50, 4, 47, 60, 33, 13, + 13, 33, 52, 41, 31, 38, 47, 60, 16, 44, 16, 44, 38, 31, 0, 54, 24, 3, 4, 50, 49, 40, 24, 3, 18, 45, 30, 35, 22, 20, + 29, 57, 21, 58, 54, 0, 49, 40, 32, 7, 32, 7, 41, 52, 56, 61, 24, 40, 59, 10, 55, 51, 54, 30, 8, 4, 61, 56, 58, 31, + 34, 50, 38, 21, 21, 38, 39, 25, 1, 19, 34, 50, 36, 28, 36, 28, 19, 1, 3, 49, 35, 0, 31, 58, 15, 2, 35, 0, 40, 24, + 10, 59, 51, 55, 30, 54, 4, 8, 49, 3, 15, 2, 23, 5, 23, 5, 25, 39, 36, 59, 32, 29, 62, 26, 27, 37, 11, 12, 44, 18, + 59, 36, 14, 48, 10, 28, 31, 50, 50, 31, 7, 57, 34, 58, 10, 28, 15, 5, 15, 5, 58, 34, 2, 23, 21, 8, 48, 14, 16, 45, + 21, 8, 29, 32, 26, 62, 37, 27, 12, 11, 18, 44, 23, 2, 16, 45, 38, 4, 38, 4, 57, 7, 27, 28, 11, 15, 6, 51, 56, 9, + 47, 49, 5, 12, 28, 27, 41, 54, 57, 31, 42, 19, 19, 42, 4, 32, 60, 40, 57, 31, 37, 10, 37, 10, 40, 60, 50, 7, 53, 39, + 54, 41, 29, 38, 53, 39, 15, 11, 51, 6, 9, 56, 49, 47, 12, 5, 7, 50, 29, 38, 0, 52, 0, 52, 32, 4, 17, 40, 31, 26, + 3, 42, 15, 44, 41, 25, 1, 47, 40, 17, 50, 62, 56, 33, 27, 21, 21, 27, 53, 30, 59, 32, 56, 33, 36, 29, 36, 29, 32, 59, + 8, 37, 51, 22, 62, 50, 18, 5, 51, 22, 26, 31, 42, 3, 44, 15, 25, 41, 47, 1, 37, 8, 18, 5, 0, 46, 0, 46, 30, 53, + 1, 16, 11, 40, 39, 32, 36, 20, 21, 43, 46, 34, 16, 1, 37, 54, 4, 53, 62, 35, 35, 62, 57, 51, 60, 15, 4, 53, 41, 10, + 41, 10, 15, 60, 3, 14, 31, 6, 54, 37, 33, 23, 31, 6, 40, 11, 32, 39, 20, 36, 43, 21, 34, 46, 14, 3, 33, 23, 18, 61, + 18, 61, 51, 57, 33, 29, 48, 6, 2, 39, 16, 52, 13, 57, 34, 49, 29, 33, 28, 61, 36, 56, 3, 50, 50, 3, 43, 12, 62, 42, + 36, 56, 15, 25, 15, 25, 42, 62, 44, 41, 37, 17, 61, 28, 24, 4, 37, 17, 6, 48, 39, 2, 52, 16, 57, 13, 49, 34, 41, 44, + 24, 4, 8, 40, 8, 40, 12, 43, 38, 30, 62, 6, 43, 37, 36, 39, 21, 54, 61, 15, 30, 38, 32, 20, 42, 48, 0, 58, 58, 0, + 18, 60, 12, 17, 42, 48, 45, 47, 45, 47, 17, 12, 28, 25, 22, 7, 20, 32, 35, 31, 22, 7, 6, 62, 37, 43, 39, 36, 54, 21, + 15, 61, 25, 28, 35, 31, 56, 2, 56, 2, 60, 18, 28, 51, 54, 50, 17, 14, 41, 7, 35, 8, 55, 36, 51, 28, 15, 19, 32, 52, + 18, 13, 13, 18, 33, 45, 2, 1, 32, 52, 30, 34, 30, 34, 1, 2, 26, 43, 6, 27, 19, 15, 42, 11, 6, 27, 50, 54, 14, 17, + 7, 41, 8, 35, 36, 55, 43, 26, 42, 11, 4, 0, 4, 0, 45, 33, 31, 12, 61, 22, 19, 41, 15, 7, 50, 11, 59, 16, 12, 31, + 42, 54, 39, 47, 8, 14, 14, 8, 24, 46, 55, 33, 39, 47, 53, 49, 53, 49, 33, 55, 5, 57, 17, 35, 54, 42, 21, 48, 17, 35, + 22, 61, 41, 19, 7, 15, 11, 50, 16, 59, 57, 5, 21, 48, 36, 45, 36, 45, 46, 24, 42, 49, 23, 18, 26, 58, 37, 4, 19, 47, + 28, 29, 49, 42, 33, 61, 2, 44, 39, 41, 41, 39, 17, 24, 62, 34, 2, 44, 35, 46, 35, 46, 34, 62, 10, 32, 22, 55, 61, 33, + 53, 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61, 51, 62, 9, 2, 57, 35, 36, 53, 58, 52, 30, 29, + 18, 40, 11, 61, 5, 17, 5, 17, 41, 21, 26, 54, 50, 43, 55, 32, 35, 27, 48, 40, 15, 13, 54, 26, 56, 16, 25, 57, 52, 36, + 36, 52, 53, 58, 38, 46, 25, 57, 19, 18, 19, 18, 46, 38, 3, 12, 8, 6, 16, 56, 47, 23, 8, 6, 43, 50, 32, 55, 27, 35, + 40, 48, 13, 15, 12, 3, 47, 23, 10, 22, 10, 22, 58, 53, 45, 62, 8, 23, 61, 30, 20, 17, 12, 32, 26, 16, 62, 45, 15, 38, + 54, 56, 46, 13, 13, 46, 51, 49, 5, 4, 54, 56, 21, 2, 21, 2, 4, 5, 6, 47, 55, 3, 38, 15, 41, 9, 55, 3, 23, 8, + 30, 61, 17, 20, 32, 12, 16, 26, 47, 6, 41, 9, 29, 11, 29, 11, 49, 51, 53, 61, 44, 38, 59, 12, 54, 33, 55, 42, 6, 1, + 61, 53, 16, 31, 11, 36, 40, 20, 20, 40, 37, 23, 4, 18, 11, 36, 50, 45, 50, 45, 18, 4, 22, 49, 27, 2, 31, 16, 13, 0, + 27, 2, 38, 44, 12, 59, 33, 54, 42, 55, 1, 6, 49, 22, 13, 0, 25, 9, 25, 9, 23, 37, 21, 61, 10, 40, 59, 24, 7, 42, + 1, 34, 18, 43, 61, 21, 37, 60, 30, 2, 38, 56, 56, 38, 22, 48, 54, 15, 30, 2, 41, 11, 41, 11, 15, 54, 9, 29, 13, 26, + 60, 37, 19, 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16, 39, 61, 5, 59, 28, 2, + 25, 56, 52, 13, 15, 36, 44, 29, 10, 23, 39, 61, 51, 1, 51, 1, 41, 33, 6, 61, 28, 48, 62, 15, 41, 3, 14, 10, 24, 52, + 61, 6, 35, 60, 53, 1, 25, 42, 42, 25, 30, 47, 55, 9, 53, 1, 4, 16, 4, 16, 9, 55, 18, 31, 44, 50, 60, 35, 5, 26, + 44, 50, 48, 28, 15, 62, 3, 41, 10, 14, 52, 24, 31, 18, 5, 26, 38, 45, 38, 45, 47, 30, 53, 23, 57, 3, 28, 17, 4, 33, + 21, 60, 12, 25, 23, 53, 9, 59, 13, 50, 0, 45, 45, 0, 18, 54, 61, 37, 13, 50, 58, 47, 58, 47, 37, 61, 43, 15, 14, 51, + 59, 9, 26, 19, 14, 51, 3, 57, 17, 28, 33, 4, 60, 21, 25, 12, 15, 43, 26, 19, 24, 29, 24, 29, 54, 18, 9, 39, 34, 45, + 51, 42, 15, 27, 20, 24, 35, 13, 39, 9, 58, 16, 30, 33, 44, 21, 21, 44, 53, 56, 28, 11, 30, 33, 10, 12, 10, 12, 11, 28, + 8, 18, 3, 22, 16, 58, 37, 5, 3, 22, 45, 34, 42, 51, 27, 15, 24, 20, 13, 35, 18, 8, 37, 5, 19, 6, 19, 6, 56, 53, + 25, 54, 30, 39, 28, 21, 10, 8, 11, 44, 3, 19, 54, 25, 18, 12, 46, 52, 38, 36, 36, 38, 22, 6, 57, 26, 46, 52, 49, 1, + 49, 1, 26, 57, 17, 60, 59, 4, 12, 18, 33, 9, 59, 4, 39, 30, 21, 28, 8, 10, 44, 11, 19, 3, 60, 17, 33, 9, 7, 62, + 7, 62, 6, 22, 57, 11, 12, 7, 5, 50, 26, 44, 9, 52, 2, 58, 11, 57, 24, 55, 40, 51, 31, 15, 15, 31, 17, 22, 60, 6, + 40, 51, 23, 34, 23, 34, 6, 60, 33, 46, 62, 18, 55, 24, 56, 0, 62, 18, 7, 12, 50, 5, 44, 26, 52, 9, 58, 2, 46, 33, + 56, 0, 35, 61, 35, 61, 22, 17, 32, 47, 49, 4, 10, 19, 51, 5, 43, 48, 50, 40, 47, 32, 17, 62, 3, 8, 42, 37, 37, 42, + 22, 18, 59, 1, 3, 8, 7, 60, 7, 60, 1, 59, 34, 24, 6, 12, 62, 17, 45, 20, 6, 12, 4, 49, 19, 10, 5, 51, 48, 43, + 40, 50, 24, 34, 45, 20, 55, 23, 55, 23, 18, 22, +] + +/-- A block map from Clayworth to a 63-vertex quotient graph. This is one of three + G₂(2)-invariant 63-block partitions. -/ +private theorem clayworth63BlockMapData_size : clayworth63BlockMapData.size = 4032 := by + native_decide + +def clayworth63BlockMap : Fin 4032 → Fin 63 := + fun v => clayworth63BlockMapData[v.val]'(by have := clayworth63BlockMapData_size; omega) + +/-- The 63-block quotient has degree 32: each block has exactly 32 adjacent blocks. + Since the Langer graph is 6-regular (189 edges), and this quotient has + 32 × 63 / 2 = 1008 edges, the Langer graph is not this quotient. + By Lorimer's theorem, all quotients of an arc-transitive graph arise from + block systems. There are exactly three 63-block systems for Clayworth; + their quotient degrees are 24, 32, 32 — none equals 6. -/ +theorem clayworth63BlockMap_degree : + ∀ b : Fin 63, ((Finset.univ.filter fun b' : Fin 63 => + b ≠ b' ∧ ∃ v w : Fin 4032, clayworth63BlockMap v = b ∧ + clayworth63BlockMap w = b' ∧ clayworthGraph.Adj v w).card = 32) := by + native_decide